SRS Stand 10685 pair #381719857

details
property	value
status	complete
benchmark	140639.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n112.star.cs.uiowa.edu
space	ICFP_2010
run statistics
property	value
solver	AProVE
configuration	standard
runtime (wallclock)	6.31712007523 seconds
cpu usage	20.6876461
max memory	3.471024128E9
stage attributes
key	value
output-size	148906
starexec-result	YES
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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


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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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) FlatCCProof [EQUIVALENT, 0 ms]
(4) QTRS
(5) RootLabelingProof [EQUIVALENT, 8 ms]
(6) QTRS
(7) QTRSRRRProof [EQUIVALENT, 610 ms]
(8) QTRS
(9) QTRSRRRProof [EQUIVALENT, 3 ms]
(10) QTRS
(11) QTRSRRRProof [EQUIVALENT, 2 ms]
(12) QTRS
(13) QTRSRRRProof [EQUIVALENT, 2 ms]
(14) QTRS
(15) QTRSRRRProof [EQUIVALENT, 2 ms]
(16) QTRS
(17) RisEmptyProof [EQUIVALENT, 3 ms]
(18) YES


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

   0(0(0(0(0(0(1(1(1(2(2(2(1(x1))))))))))))) -> 0(1(1(0(0(1(1(1(0(1(1(1(1(1(1(2(1(x1)))))))))))))))))
   0(0(0(1(1(1(2(0(2(0(1(1(1(x1))))))))))))) -> 1(1(1(1(2(1(1(0(1(1(1(0(1(1(1(0(1(x1)))))))))))))))))
   0(0(1(0(0(1(2(2(1(0(1(0(1(x1))))))))))))) -> 0(0(1(1(1(0(0(0(1(0(0(1(1(2(1(1(1(x1)))))))))))))))))
   0(0(1(0(1(0(1(1(2(0(1(2(1(x1))))))))))))) -> 0(0(0(0(1(1(1(2(1(0(0(0(0(0(1(0(1(x1)))))))))))))))))
   0(0(1(1(1(1(0(0(0(0(2(2(2(x1))))))))))))) -> 0(1(0(0(1(1(1(0(0(1(1(0(2(0(0(1(1(x1)))))))))))))))))
   0(0(1(1(2(2(0(0(0(1(2(1(2(x1))))))))))))) -> 0(0(0(1(1(0(1(0(0(0(1(2(1(0(2(1(2(x1)))))))))))))))))
   0(0(1(2(1(1(1(1(0(2(0(1(2(x1))))))))))))) -> 1(0(0(1(1(1(2(0(0(0(1(1(2(0(0(1(2(x1)))))))))))))))))
   0(0(1(2(2(2(0(1(0(0(0(0(1(x1))))))))))))) -> 0(1(0(1(1(1(2(0(1(0(1(1(0(0(1(1(1(x1)))))))))))))))))
   0(0(2(1(0(0(1(0(1(0(1(0(0(x1))))))))))))) -> 0(0(0(0(1(0(1(0(1(0(1(0(0(1(1(1(1(x1)))))))))))))))))
   0(1(0(0(1(0(0(2(0(1(0(1(2(x1))))))))))))) -> 0(0(0(0(1(0(0(0(0(0(1(0(0(2(1(1(1(x1)))))))))))))))))
   0(1(0(1(0(2(0(1(1(0(1(0(2(x1))))))))))))) -> 0(1(2(0(1(0(0(0(1(0(0(0(1(0(1(0(2(x1)))))))))))))))))
   0(1(0(2(2(0(0(1(0(1(0(0(1(x1))))))))))))) -> 0(1(1(1(1(2(0(1(1(0(1(0(1(0(1(0(1(x1)))))))))))))))))
   0(1(1(0(1(0(2(1(1(0(0(2(1(x1))))))))))))) -> 1(1(2(0(0(0(0(0(1(0(1(1(2(2(0(0(1(x1)))))))))))))))))
   0(1(1(0(1(1(1(1(0(2(0(1(0(x1))))))))))))) -> 0(1(0(0(0(0(0(0(1(0(1(1(2(0(0(0(1(x1)))))))))))))))))
   0(1(1(1(2(1(0(0(1(1(2(2(1(x1))))))))))))) -> 1(1(0(1(1(2(0(1(1(1(1(0(1(1(2(0(1(x1)))))))))))))))))
   0(1(2(0(1(1(2(0(0(1(0(1(0(x1))))))))))))) -> 0(1(2(0(0(0(0(0(0(1(2(1(0(0(1(0(0(x1)))))))))))))))))
   0(1(2(0(2(1(1(2(2(2(1(0(1(x1))))))))))))) -> 0(1(2(0(0(2(1(1(1(2(0(1(1(2(0(1(1(x1)))))))))))))))))
   0(1(2(2(0(0(2(0(0(1(0(0(0(x1))))))))))))) -> 1(1(2(0(0(1(0(1(2(0(1(0(1(0(0(0(0(x1)))))))))))))))))
   0(2(1(0(0(0(1(1(2(1(0(1(1(x1))))))))))))) -> 1(1(1(1(0(0(1(1(0(1(2(1(0(1(0(0(1(x1)))))))))))))))))
   0(2(1(0(1(0(1(0(0(0(2(0(1(x1))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(2(0(1(1(0(0(1(x1)))))))))))))))))
   0(2(2(0(0(0(0(1(1(1(0(1(1(x1))))))))))))) -> 1(1(1(1(1(1(0(1(0(0(1(1(1(0(1(1(1(x1)))))))))))))))))
   1(0(0(0(0(0(1(0(2(0(1(2(0(x1))))))))))))) -> 1(0(1(1(1(0(1(1(1(0(0(1(2(2(0(0(0(x1)))))))))))))))))
   1(0(0(1(0(1(2(0(1(0(1(2(0(x1))))))))))))) -> 0(0(0(1(1(0(1(0(1(2(0(1(0(1(0(1(0(x1)))))))))))))))))
   1(0(0(1(1(0(0(2(2(0(1(0(1(x1))))))))))))) -> 0(0(0(1(1(1(1(1(0(0(0(0(0(2(1(1(1(x1)))))))))))))))))
   1(0(1(0(1(0(1(1(1(0(1(2(2(x1))))))))))))) -> 0(1(0(1(1(1(0(0(1(1(0(1(0(0(1(2(1(x1)))))))))))))))))
   1(0(1(1(2(0(1(2(2(0(0(0(0(x1))))))))))))) -> 1(0(0(0(0(1(0(1(1(2(2(2(0(0(0(0(0(x1)))))))))))))))))
   1(0(1(2(2(0(1(1(0(2(0(1(1(x1))))))))))))) -> 0(0(1(0(0(1(1(1(0(2(2(2(0(0(0(1(1(x1)))))))))))))))))
   1(1(0(0(0(0(1(1(1(0(0(2(1(x1))))))))))))) -> 0(1(0(1(1(0(0(0(0(1(1(0(0(0(0(0(1(x1)))))))))))))))))
   1(1(0(0(1(0(1(1(1(0(1(0(2(x1))))))))))))) -> 0(1(1(1(1(1(0(1(0(0(0(1(1(1(1(1(2(x1)))))))))))))))))
   1(1(0(1(0(0(1(2(1(0(2(1(1(x1))))))))))))) -> 0(1(0(1(0(0(1(0(1(0(2(2(0(1(0(0(1(x1)))))))))))))))))
   1(1(0(1(1(0(2(0(0(1(0(1(0(x1))))))))))))) -> 0(1(1(0(1(1(0(1(0(0(0(1(1(1(0(0(0(x1)))))))))))))))))
   1(1(1(1(2(0(1(1(2(0(0(0(0(x1))))))))))))) -> 1(1(0(1(1(0(0(1(1(0(1(1(0(1(0(0(1(x1)))))))))))))))))
   1(1(1(2(0(0(0(0(1(1(2(1(1(x1))))))))))))) -> 1(1(1(1(1(0(0(0(1(1(0(2(1(0(0(0(1(x1)))))))))))))))))
   1(1(2(1(0(1(1(1(2(1(0(0(1(x1))))))))))))) -> 0(1(2(2(0(0(0(1(1(0(0(0(0(0(0(1(1(x1)))))))))))))))))
   1(2(0(0(1(0(1(1(1(0(1(0(0(x1))))))))))))) -> 0(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(1(x1)))))))))))))))))
   1(2(0(0(1(1(0(1(1(0(0(0(2(x1))))))))))))) -> 0(0(1(1(0(0(1(1(1(1(0(1(1(0(1(1(1(x1)))))))))))))))))
   1(2(1(0(1(1(1(0(1(1(0(0(2(x1))))))))))))) -> 0(0(1(0(0(0(1(1(0(0(0(2(0(0(0(1(2(x1)))))))))))))))))
   1(2(1(2(2(0(1(1(1(0(1(0(0(x1))))))))))))) -> 0(1(2(1(0(1(0(0(2(1(1(0(0(1(1(0(0(x1)))))))))))))))))
   1(2(2(2(1(1(0(1(1(0(2(0(0(x1))))))))))))) -> 1(0(0(0(0(0(1(2(2(1(2(1(0(0(2(0(0(x1)))))))))))))))))
   1(2(2(2(1(2(0(0(0(1(2(1(0(x1))))))))))))) -> 1(1(1(0(0(2(1(1(0(2(0(1(1(2(0(1(0(x1)))))))))))))))))
   2(0(0(0(0(1(2(1(2(0(1(2(0(x1))))))))))))) -> 2(0(0(1(1(0(1(0(0(2(1(0(1(1(2(0(0(x1)))))))))))))))))
   2(0(0(1(1(2(0(1(0(1(1(0(1(x1))))))))))))) -> 0(1(0(0(0(2(0(0(0(1(0(1(0(1(1(0(1(x1)))))))))))))))))
   2(0(1(0(0(1(0(0(1(2(1(0(0(x1))))))))))))) -> 1(1(1(0(0(0(1(0(0(1(0(0(0(1(0(1(0(x1)))))))))))))))))
   2(0(1(0(0(2(1(1(0(2(1(2(2(x1))))))))))))) -> 2(1(1(0(0(1(1(0(1(1(1(0(2(1(2(2(2(x1)))))))))))))))))
   2(0(1(0(2(0(1(1(1(1(0(0(1(x1))))))))))))) -> 0(2(1(1(1(0(1(0(1(0(1(1(1(1(1(0(1(x1)))))))))))))))))
   2(0(1(1(0(0(0(1(0(0(2(2(1(x1))))))))))))) -> 2(0(0(0(1(1(2(1(0(0(0(0(1(2(0(0(1(x1)))))))))))))))))
   2(0(1(1(0(0(1(1(1(1(2(0(0(x1))))))))))))) -> 2(0(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(x1)))))))))))))))))
   2(1(2(2(0(0(0(1(0(1(0(1(0(x1))))))))))))) -> 2(1(1(1(0(1(0(0(0(0(0(1(2(1(1(1(0(x1)))))))))))))))))
   2(2(0(0(0(1(1(0(1(1(1(0(0(x1))))))))))))) -> 1(0(1(1(0(0(1(1(0(0(0(0(0(0(1(1(1(x1)))))))))))))))))
   2(2(0(1(1(0(0(1(0(1(1(1(1(x1))))))))))))) -> 2(1(0(0(0(0(0(1(1(1(0(1(0(1(1(0(1(x1)))))))))))))))))

Q is empty.

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(1) QTRS Reverse (EQUIVALENT)
We applied the QTRS Reverse Processor [REVERSE].
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job log
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actions all output return to SRS Stand 10685