SRS Relative pair #487082402

details
property	value
status	complete
benchmark	139163.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n144.star.cs.uiowa.edu
space	ICFP_2010_relative
run statistics
property	value
solver	AProVE
configuration	standard
runtime (wallclock)	15.6965 seconds
cpu usage	56.1178
user time	53.5302
system time	2.5876
max virtual memory	1.8954232E7
max residence set size	5745952.0
stage attributes
key	value
starexec-result	YES
output
YES
proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


Termination of the given RelTRS could be proven:

(0) RelTRS
(1) RelTRS S Cleaner [EQUIVALENT, 0 ms]
(2) RelTRS
(3) SIsEmptyProof [EQUIVALENT, 0 ms]
(4) QTRS
(5) FlatCCProof [EQUIVALENT, 0 ms]
(6) QTRS
(7) RootLabelingProof [EQUIVALENT, 32 ms]
(8) QTRS
(9) QTRSRRRProof [EQUIVALENT, 1664 ms]
(10) QTRS
(11) QTRSRRRProof [EQUIVALENT, 87 ms]
(12) QTRS
(13) DependencyPairsProof [EQUIVALENT, 640 ms]
(14) QDP
(15) DependencyGraphProof [EQUIVALENT, 0 ms]
(16) QDP
(17) QDPSizeChangeProof [EQUIVALENT, 0 ms]
(18) YES


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

(0)
Obligation:
Relative term rewrite system:
The relative TRS consists of the following R rules:

   0(0(2(2(1(3(2(2(2(1(0(2(2(0(2(2(0(0(x1)))))))))))))))))) -> 0(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(x1))))))))))))))))))
   0(0(3(1(0(2(2(0(2(3(1(1(0(1(2(2(0(1(x1)))))))))))))))))) -> 0(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(x1))))))))))))))))))
   0(1(0(2(1(1(0(0(1(0(3(1(1(0(2(1(2(3(x1)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x1))))))))))))))))))
   0(1(0(3(2(0(0(0(3(3(0(2(2(2(2(1(1(1(x1)))))))))))))))))) -> 0(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(x1))))))))))))))))))
   0(1(1(1(1(3(1(1(0(1(3(1(0(2(3(3(3(2(x1)))))))))))))))))) -> 0(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(x1))))))))))))))))))
   0(1(2(3(2(1(0(1(2(2(0(0(1(0(3(1(0(1(x1)))))))))))))))))) -> 0(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(x1))))))))))))))))))
   0(2(1(0(3(0(3(0(3(2(0(1(0(1(2(2(1(1(x1)))))))))))))))))) -> 0(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(x1))))))))))))))))))
   0(2(3(0(1(2(3(2(0(3(1(0(0(0(3(3(0(3(x1)))))))))))))))))) -> 0(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x1))))))))))))))))))
   0(3(0(1(0(3(0(1(1(1(2(0(0(0(3(2(1(0(x1)))))))))))))))))) -> 0(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(x1))))))))))))))))))
   0(3(1(1(2(3(0(3(0(1(0(1(2(2(1(0(2(2(x1)))))))))))))))))) -> 0(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(x1))))))))))))))))))
   0(3(2(0(3(1(0(1(0(3(0(3(0(0(3(0(0(0(x1)))))))))))))))))) -> 0(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(x1))))))))))))))))))
   1(0(0(0(1(2(3(3(2(2(1(0(2(3(3(2(0(3(x1)))))))))))))))))) -> 3(0(2(1(1(3(3(1(0(0(2(0(2(2(3(2(0(3(x1))))))))))))))))))
   1(0(1(0(2(0(2(3(1(1(2(2(0(0(3(0(3(2(x1)))))))))))))))))) -> 0(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(x1))))))))))))))))))
   1(0(1(3(2(2(3(2(0(0(1(0(3(2(3(2(3(3(x1)))))))))))))))))) -> 1(3(3(1(2(2(0(3(0(0(1(3(0(2(2(3(2(3(x1))))))))))))))))))
   1(0(2(3(1(2(3(1(2(3(2(3(2(1(2(2(2(2(x1)))))))))))))))))) -> 2(3(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(x1))))))))))))))))))
   1(0(2(3(3(3(1(0(2(0(1(2(2(3(2(1(0(1(x1)))))))))))))))))) -> 2(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(x1))))))))))))))))))
   1(0(3(0(3(1(0(3(3(1(2(1(3(2(0(2(1(0(x1)))))))))))))))))) -> 2(2(1(3(0(0(1(3(1(0(2(0(0(3(3(3(1(1(x1))))))))))))))))))
   1(0(3(3(1(0(3(3(3(1(1(3(2(0(0(1(3(1(x1)))))))))))))))))) -> 1(3(3(0(1(3(3(0(1(3(3(0(1(3(2(1(0(1(x1))))))))))))))))))
   1(1(0(0(1(2(1(2(2(0(3(1(2(3(2(0(0(3(x1)))))))))))))))))) -> 1(2(2(0(2(1(0(2(1(0(0(2(3(0(1(1(3(3(x1))))))))))))))))))
   1(1(0(3(1(0(2(3(1(1(0(3(3(0(3(1(1(1(x1)))))))))))))))))) -> 1(1(3(1(3(2(3(0(1(0(3(0(1(3(1(0(1(1(x1))))))))))))))))))
   1(1(0(3(1(0(3(3(3(1(1(2(2(2(2(0(1(2(x1)))))))))))))))))) -> 2(1(1(0(0(1(1(2(3(3(3(0(1(2(3(2(1(2(x1))))))))))))))))))
   1(1(1(1(0(1(3(2(1(1(2(2(0(2(2(3(0(2(x1)))))))))))))))))) -> 1(1(1(2(3(0(2(2(1(1(1(2(3(0(1(2(0(2(x1))))))))))))))))))
   1(1(1(2(1(1(1(2(1(3(1(0(1(2(1(2(3(1(x1)))))))))))))))))) -> 1(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(x1))))))))))))))))))
   1(1(1(3(1(3(1(0(3(2(1(3(2(1(0(3(0(3(x1)))))))))))))))))) -> 1(2(2(3(0(1(3(1(1(3(0(0(1(3(1(1(3(3(x1))))))))))))))))))
   1(1(3(2(0(2(3(1(0(1(0(2(3(3(2(2(0(0(x1)))))))))))))))))) -> 2(0(2(3(2(0(2(0(1(2(1(3(0(1(3(0(1(3(x1))))))))))))))))))
   1(1(3(3(2(1(3(3(2(0(1(3(3(3(0(3(2(1(x1)))))))))))))))))) -> 1(3(1(3(0(3(3(3(1(3(3(2(3(1(2(0(2(1(x1))))))))))))))))))
   1(2(0(0(2(1(3(2(2(3(2(2(0(3(2(3(2(2(x1)))))))))))))))))) -> 1(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(x1))))))))))))))))))
   1(2(0(1(2(1(0(2(0(0(3(1(0(2(0(3(2(2(x1)))))))))))))))))) -> 1(1(0(0(0(2(1(0(2(0(3(2(2(1(0(2(3(2(x1))))))))))))))))))
   1(2(0(2(0(0(0(3(0(1(0(1(1(0(3(1(0(3(x1)))))))))))))))))) -> 1(3(0(3(1(1(0(1(1(0(0(0(2(2(3(0(0(0(x1))))))))))))))))))
   1(2(1(0(3(1(3(3(2(2(2(2(0(0(3(1(0(1(x1)))))))))))))))))) -> 3(1(2(0(1(3(2(3(2(2(0(0(0(2(3(1(1(1(x1))))))))))))))))))
   1(2(1(2(1(2(0(1(0(1(3(1(0(0(0(1(3(3(x1)))))))))))))))))) -> 1(1(2(2(1(0(1(3(0(1(1(3(0(2(1(3(0(0(x1))))))))))))))))))
   1(2(1(3(2(3(3(1(1(1(0(1(0(0(3(2(0(3(x1)))))))))))))))))) -> 1(3(3(2(3(0(2(1(3(1(1(3(1(2(1(0(0(0(x1))))))))))))))))))
   1(2(3(0(3(2(0(2(0(2(0(3(2(0(2(2(0(0(x1)))))))))))))))))) -> 1(2(2(2(0(3(3(0(0(2(0(0(0(2(2(2(3(0(x1))))))))))))))))))
   1(2(3(1(1(0(0(3(3(0(2(1(3(3(0(3(2(3(x1)))))))))))))))))) -> 3(1(3(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(x1))))))))))))))))))
   1(2(3(3(1(2(2(2(1(0(1(2(0(1(3(2(0(1(x1)))))))))))))))))) -> 3(3(0(0(2(0(2(2(1(1(1(3(1(2(2(1(2(1(x1))))))))))))))))))
   1(2(3(3(2(1(0(3(2(2(1(0(3(1(0(0(0(0(x1)))))))))))))))))) -> 0(3(0(1(2(1(3(0(1(0(2(1(2(3(3(0(2(0(x1))))))))))))))))))
   1(3(1(1(0(1(2(1(1(1(0(3(1(1(0(2(3(1(x1)))))))))))))))))) -> 1(1(3(2(1(3(1(1(0(0(1(3(2(1(0(1(1(1(x1))))))))))))))))))
   1(3(1(3(2(0(1(3(1(1(3(2(3(3(3(3(0(1(x1)))))))))))))))))) -> 1(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(x1))))))))))))))))))
   1(3(2(2(1(0(1(2(1(0(3(1(0(3(2(3(0(3(x1)))))))))))))))))) -> 3(1(3(2(1(1(0(0(2(0(0(3(1(3(2(2(1(3(x1))))))))))))))))))
   1(3(3(0(0(3(3(1(0(0(2(3(3(1(3(2(3(1(x1)))))))))))))))))) -> 1(3(0(0(1(3(0(1(3(3(2(2(3(3(3(3(0(1(x1))))))))))))))))))
   1(3(3(0(1(1(3(2(2(1(1(0(3(1(2(1(0(0(x1)))))))))))))))))) -> 1(3(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(x1))))))))))))))))))
   1(3(3(2(2(1(0(3(2(1(1(1(2(3(1(0(1(0(x1)))))))))))))))))) -> 2(0(1(2(1(2(1(3(1(1(3(0(3(2(1(3(0(1(x1))))))))))))))))))
   2(0(0(3(1(2(3(2(0(2(3(0(1(2(2(0(0(2(x1)))))))))))))))))) -> 2(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(x1))))))))))))))))))
   2(0(1(0(2(2(2(2(0(3(2(3(1(2(3(0(3(2(x1)))))))))))))))))) -> 2(0(2(0(2(2(3(0(3(3(1(3(0(1(2(2(2(2(x1))))))))))))))))))
   2(0(1(3(3(3(3(3(1(1(3(2(0(1(0(0(1(0(x1)))))))))))))))))) -> 1(3(0(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(x1))))))))))))))))))
   2(0(3(0(3(2(3(2(1(0(1(2(2(0(0(0(1(2(x1)))))))))))))))))) -> 0(2(2(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(x1))))))))))))))))))
   2(1(0(1(1(3(3(0(1(0(1(2(3(3(0(3(2(2(x1)))))))))))))))))) -> 0(3(3(1(3(3(0(2(1(1(3(1(0(2(1(2(0(2(x1))))))))))))))))))
   2(1(1(1(0(2(2(2(1(0(2(0(0(2(2(2(2(1(x1)))))))))))))))))) -> 2(2(2(2(1(1(2(0(1(0(0(0(2(1(2(2(2(1(x1))))))))))))))))))
   2(1(2(2(2(0(2(1(2(3(0(0(3(1(2(2(1(3(x1)))))))))))))))))) -> 0(2(0(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(x1))))))))))))))))))
   2(1(2(2(2(1(3(2(0(0(2(3(2(3(3(3(0(3(x1)))))))))))))))))) -> 2(3(3(1(3(2(0(3(2(1(3(0(2(2(2(2(3(0(x1))))))))))))))))))
   2(1(2(2(3(2(3(0(1(3(2(1(1(3(3(2(2(2(x1)))))))))))))))))) -> 2(1(1(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(x1))))))))))))))))))
   2(1(2(3(3(3(0(2(0(0(2(2(1(0(2(0(2(0(x1)))))))))))))))))) -> 0(3(0(2(2(2(1(3(0(0(1(3(0(0(2(2(2(2(x1))))))))))))))))))
   2(1(3(3(3(1(2(1(2(1(0(0(3(1(3(2(0(0(x1)))))))))))))))))) -> 2(1(3(0(1(3(1(0(2(2(0(0(1(3(1(3(2(3(x1))))))))))))))))))
   2(2(0(0(2(1(1(2(1(2(0(1(2(2(2(2(2(2(x1)))))))))))))))))) -> 2(2(2(2(1(1(0(2(1(1(2(2(0(2(0(2(2(2(x1))))))))))))))))))
   2(2(0(3(1(2(0(3(1(2(1(3(0(1(0(3(0(0(x1)))))))))))))))))) -> 2(3(2(2(1(3(0(3(0(1(3(0(0(0(1(1(2(0(x1))))))))))))))))))
   2(2(1(0(1(2(0(0(3(0(2(1(1(2(1(2(1(2(x1)))))))))))))))))) -> 2(2(1(0(3(2(1(1(1(0(0(2(0(1(2(2(1(2(x1))))))))))))))))))
   2(2(1(1(2(3(1(2(1(3(1(0(2(2(0(3(1(1(x1)))))))))))))))))) -> 2(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(x1))))))))))))))))))
   2(2(1(1(3(1(0(0(1(2(3(2(3(1(0(1(1(0(x1)))))))))))))))))) -> 0(1(2(2(3(1(0(2(1(3(2(1(1(3(0(1(1(0(x1))))))))))))))))))
   2(2(1(2(3(2(0(2(0(3(1(0(1(1(0(1(3(3(x1)))))))))))))))))) -> 2(2(0(1(2(0(1(2(3(1(0(2(0(1(3(1(3(3(x1))))))))))))))))))
   2(2(2(2(1(1(0(1(1(2(2(0(0(1(2(2(1(1(x1)))))))))))))))))) -> 0(2(1(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(x1))))))))))))))))))
   2(2(3(1(2(3(0(3(1(1(1(0(1(1(0(1(3(1(x1)))))))))))))))))) -> 2(3(1(1(2(0(1(3(1(1(0(1(1(3(1(3(0(2(x1))))))))))))))))))
   2(2(3(3(1(3(1(1(0(1(2(2(0(3(2(0(3(3(x1)))))))))))))))))) -> 2(2(3(1(3(2(1(3(3(1(0(0(2(3(3(1(0(2(x1))))))))))))))))))
   2(3(0(2(0(3(2(0(2(3(2(1(2(2(2(3(0(3(x1)))))))))))))))))) -> 2(3(2(3(3(0(0(2(2(2(1(3(2(0(2(3(2(0(x1))))))))))))))))))
   2(3(1(0(1(0(1(2(1(0(3(1(0(3(1(2(2(3(x1)))))))))))))))))) -> 2(1(2(1(1(0(1(0(2(3(0(0(3(3(3(1(1(2(x1))))))))))))))))))
   2(3(1(0(2(3(1(0(0(1(0(1(0(1(2(2(1(0(x1)))))))))))))))))) -> 2(0(3(1(0(1(0(1(2(0(2(2(1(3(0(0(1(1(x1))))))))))))))))))
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job log
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actions all output return to SRS Relative