SRS Standard pair #516971440

details
property	value
status	complete
benchmark	262998.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n177.star.cs.uiowa.edu
space	ICFP_2010
run statistics
property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	13.6145341396 seconds
cpu usage	37.776588879
max memory	2.98876928E9
stage attributes
key	value
output-size	51469
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished


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, 571 ms]
(4) QTRS
(5) DependencyPairsProof [EQUIVALENT, 33 ms]
(6) QDP
(7) DependencyGraphProof [EQUIVALENT, 0 ms]
(8) TRUE


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

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

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

Q is empty.

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

(1) QTRS Reverse (EQUIVALENT)
We applied the QTRS Reverse Processor [REVERSE].
----------------------------------------

(2)
Obligation:
Q restricted rewrite system:
The TRS R consists of the following rules:

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   0(1(0(0(1(0(0(1(1(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(0(1(0(1(1(1(1(1(0(0(0(1(0(0(1(0(1(1(1(0(1(1(1(1(0(0(1(1(0(0(1(0(0(1(0(1(1(1(0(0(1(1(1(0(0(0(1(1(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(1(1(0(0(1(1(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(0(1(0(1(1(1(1(1(0(0(0(1(0(0(1(0(1(1(1(0(1(1(1(1(0(0(1(1(0(0(1(0(0(1(0(1(1(1(0(0(1(1(1(0(0(0(1(1(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(1(0(0(1(0(0(1(1(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(0(1(0(1(1(1(1(1(0(0(0(1(0(0(1(0(1(1(1(0(1(1(1(1(0(0(1(1(0(0(1(0(0(1(0(1(1(1(0(0(1(1(1(0(0(0(1(1(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(0(0(0(1(0(0(1(1(0(0(1(1(1(0(0(0(1(1(1(1(0(0(1(1(1(1(0(1(0(1(0(0(1(1(0(0(0(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(1(1(1(0(0(1(1(1(0(0(0(0(1(0(1(1(0(0(1(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(0(0(1(0(0(1(1(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(0(1(0(1(1(1(1(1(0(0(0(1(0(0(1(0(1(1(1(0(1(1(1(1(0(0(1(1(0(0(1(0(0(1(0(1(1(1(0(0(1(1(1(0(0(0(1(1(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(1(1(1(0(1(1(1(0(0(1(1(1(0(0(0(0(0(0(0(0(1(1(1(1(0(0(1(1(1(1(0(1(0(1(0(0(1(1(0(0(0(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(1(1(1(0(0(1(1(1(0(0(0(0(1(0(1(1(0(0(1(0(0(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(0(0(1(0(0(1(1(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(0(1(0(1(1(1(1(1(0(0(0(1(0(0(1(0(1(1(1(0(1(1(1(1(0(0(1(1(0(0(1(0(0(1(0(1(1(1(0(0(1(1(1(0(0(0(1(1(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(1(1(0(1(0(1(1(0(1(1(0(1(0(0(1(1(1(1(0(0(1(0(0(1(0(0(0(0(1(1(0(1(0(0(1(1(0(0(0(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(1(1(1(0(0(1(1(1(0(0(0(0(1(0(1(1(0(0(1(0(0(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(0(0(1(0(0(1(1(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(0(1(0(1(1(1(1(1(0(0(0(1(0(0(1(0(1(1(1(0(1(1(1(1(0(0(1(1(0(0(1(0(0(1(0(1(1(1(0(0(1(1(1(0(0(0(1(1(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(0(0(0(0(0(1(0(1(1(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(1(0(0(1(1(1(1(0(1(0(1(0(0(1(1(0(0(0(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(1(1(1(0(0(1(1(1(0(0(0(0(1(0(1(1(0(0(1(0(0(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
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popout
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job log
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actions all output return to SRS Standard