SRS Stand 10685 pair #381722077

details
property	value
status	complete
benchmark	188674.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n022.star.cs.uiowa.edu
space	ICFP_2010
run statistics
property	value
solver	AProVE
configuration	standard
runtime (wallclock)	11.2973670959 seconds
cpu usage	39.452355645
max memory	4.609081344E9
stage attributes
key	value
output-size	70958
starexec-result	YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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


YES
proof of /export/starexec/sandbox2/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 898 ms]
(4) QTRS
(5) DependencyPairsProof [EQUIVALENT, 92 ms]
(6) QDP
(7) DependencyGraphProof [EQUIVALENT, 0 ms]
(8) QDP
(9) UsableRulesProof [EQUIVALENT, 1 ms]
(10) QDP
(11) QDPSizeChangeProof [EQUIVALENT, 0 ms]
(12) YES


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

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

   0(0(1(0(2(1(3(4(0(4(5(5(3(4(5(1(x1)))))))))))))))) -> 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x1))))))))))))))))
   0(0(1(0(2(1(3(4(0(4(5(5(3(4(5(1(x1)))))))))))))))) -> 0(2(5(3(4(2(5(4(0(1(4(2(2(3(4(0(x1))))))))))))))))
   0(0(1(0(2(1(3(4(0(4(5(5(3(4(5(1(x1)))))))))))))))) -> 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x1))))))))))))))))
   0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x1)))))))))))))))) -> 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x1))))))))))))))))
   0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x1)))))))))))))))) -> 0(1(2(5(5(1(3(4(5(4(4(5(1(5(0(3(x1))))))))))))))))
   0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x1)))))))))))))))) -> 0(2(5(3(4(2(5(4(0(1(4(2(2(3(4(0(x1))))))))))))))))
   0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x1)))))))))))))))) -> 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x1))))))))))))))))
   0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x1)))))))))))))))) -> 0(4(5(4(3(5(0(5(3(2(5(3(0(0(5(2(x1))))))))))))))))
   0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x1)))))))))))))))) -> 0(5(3(1(3(1(3(5(3(2(5(5(4(2(5(3(x1))))))))))))))))
   0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x1)))))))))))))))) -> 0(5(3(4(2(1(4(3(5(5(2(0(5(4(2(3(x1))))))))))))))))
   0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x1)))))))))))))))) -> 4(5(2(5(4(1(4(2(1(1(3(2(4(3(5(0(x1))))))))))))))))
   0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x1)))))))))))))))) -> 5(2(2(5(4(0(2(2(5(0(0(2(3(2(0(0(x1))))))))))))))))
   0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x1)))))))))))))))) -> 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x1))))))))))))))))
   0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x1)))))))))))))))) -> 0(1(2(5(3(1(4(3(4(3(5(0(1(1(5(4(x1))))))))))))))))
   0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x1)))))))))))))))) -> 0(1(2(5(5(1(3(4(5(4(4(5(1(5(0(3(x1))))))))))))))))
   0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x1)))))))))))))))) -> 0(2(5(3(4(2(5(4(0(1(4(2(2(3(4(0(x1))))))))))))))))
   0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x1)))))))))))))))) -> 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x1))))))))))))))))
   0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x1)))))))))))))))) -> 0(4(5(4(3(5(0(5(3(2(5(3(0(0(5(2(x1))))))))))))))))
   0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x1)))))))))))))))) -> 0(5(0(2(0(2(4(4(4(1(2(4(0(3(3(3(x1))))))))))))))))
   0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x1)))))))))))))))) -> 0(5(3(1(3(1(3(5(3(2(5(5(4(2(5(3(x1))))))))))))))))
   0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x1)))))))))))))))) -> 0(5(3(4(2(1(4(3(5(5(2(0(5(4(2(3(x1))))))))))))))))
   0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x1)))))))))))))))) -> 1(2(2(2(5(3(0(2(1(4(3(5(4(4(2(4(x1))))))))))))))))
   0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x1)))))))))))))))) -> 2(0(0(0(4(4(5(5(1(0(3(2(1(5(5(5(x1))))))))))))))))
   0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x1)))))))))))))))) -> 2(1(4(3(2(5(1(4(4(0(4(1(0(2(0(2(x1))))))))))))))))
   0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x1)))))))))))))))) -> 5(3(1(0(3(1(2(4(0(2(5(0(2(5(4(3(x1))))))))))))))))
   0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x1)))))))))))))))) -> 5(5(2(1(2(2(1(0(2(3(4(0(4(0(2(4(x1))))))))))))))))
   0(3(0(4(4(4(2(3(2(4(5(0(3(0(1(1(x1)))))))))))))))) -> 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x1))))))))))))))))
   0(3(0(4(4(4(2(3(2(4(5(0(3(0(1(1(x1)))))))))))))))) -> 0(2(5(3(4(2(5(4(0(1(4(2(2(3(4(0(x1))))))))))))))))
   0(3(0(4(4(4(2(3(2(4(5(0(3(0(1(1(x1)))))))))))))))) -> 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x1))))))))))))))))
   0(3(0(4(4(4(2(3(2(4(5(0(3(0(1(1(x1)))))))))))))))) -> 5(2(2(5(4(0(2(2(5(0(0(2(3(2(0(0(x1))))))))))))))))
   0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x1)))))))))))))))) -> 0(0(1(0(2(1(3(4(0(4(5(5(3(4(5(1(x1))))))))))))))))
   0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x1)))))))))))))))) -> 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x1))))))))))))))))
   0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x1)))))))))))))))) -> 0(1(2(5(3(1(4(3(4(3(5(0(1(1(5(4(x1))))))))))))))))
   0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x1)))))))))))))))) -> 0(1(2(5(5(1(3(4(5(4(4(5(1(5(0(3(x1))))))))))))))))
   0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x1)))))))))))))))) -> 0(2(5(3(4(2(5(4(0(1(4(2(2(3(4(0(x1))))))))))))))))
   0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x1)))))))))))))))) -> 0(3(0(4(4(4(2(3(2(4(5(0(3(0(1(1(x1))))))))))))))))
   0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x1)))))))))))))))) -> 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x1))))))))))))))))
   0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x1)))))))))))))))) -> 0(4(5(4(3(5(0(5(3(2(5(3(0(0(5(2(x1))))))))))))))))
   0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x1)))))))))))))))) -> 0(5(3(1(3(1(3(5(3(2(5(5(4(2(5(3(x1))))))))))))))))
   0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x1)))))))))))))))) -> 0(5(3(4(2(1(4(3(5(5(2(0(5(4(2(3(x1))))))))))))))))
   0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x1)))))))))))))))) -> 0(5(3(5(1(2(1(1(3(3(0(5(4(1(1(5(x1))))))))))))))))
   0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x1)))))))))))))))) -> 1(2(2(2(5(3(0(2(1(4(3(5(4(4(2(4(x1))))))))))))))))
   0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x1)))))))))))))))) -> 2(0(0(0(4(4(5(5(1(0(3(2(1(5(5(5(x1))))))))))))))))
   0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x1)))))))))))))))) -> 2(1(4(3(2(5(1(4(4(0(4(1(0(2(0(2(x1))))))))))))))))
   0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x1)))))))))))))))) -> 4(4(2(5(1(0(5(4(1(0(0(2(4(0(5(0(x1))))))))))))))))
   0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x1)))))))))))))))) -> 4(4(4(5(0(0(3(5(5(4(1(1(4(5(5(2(x1))))))))))))))))
   0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x1)))))))))))))))) -> 4(5(2(5(4(1(4(2(1(1(3(2(4(3(5(0(x1))))))))))))))))
   0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x1)))))))))))))))) -> 5(2(2(5(4(0(2(2(5(0(0(2(3(2(0(0(x1))))))))))))))))
   0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x1)))))))))))))))) -> 5(5(2(1(2(2(1(0(2(3(4(0(4(0(2(4(x1))))))))))))))))
   0(5(0(2(0(2(4(4(4(1(2(4(0(3(3(3(x1)))))))))))))))) -> 0(1(2(5(5(1(3(4(5(4(4(5(1(5(0(3(x1))))))))))))))))
   0(5(0(2(0(2(4(4(4(1(2(4(0(3(3(3(x1)))))))))))))))) -> 0(5(3(1(3(1(3(5(3(2(5(5(4(2(5(3(x1))))))))))))))))
   0(5(0(2(0(2(4(4(4(1(2(4(0(3(3(3(x1)))))))))))))))) -> 0(5(3(4(2(1(4(3(5(5(2(0(5(4(2(3(x1))))))))))))))))
   1(0(2(3(5(3(2(4(2(4(3(3(2(5(2(2(x1)))))))))))))))) -> 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x1))))))))))))))))
   1(0(2(3(5(3(2(4(2(4(3(3(2(5(2(2(x1)))))))))))))))) -> 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x1))))))))))))))))
   1(0(2(3(5(3(2(4(2(4(3(3(2(5(2(2(x1)))))))))))))))) -> 0(4(5(4(3(5(0(5(3(2(5(3(0(0(5(2(x1))))))))))))))))
   1(0(2(3(5(3(2(4(2(4(3(3(2(5(2(2(x1)))))))))))))))) -> 4(4(4(5(0(0(3(5(5(4(1(1(4(5(5(2(x1))))))))))))))))
   1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x1)))))))))))))))) -> 0(0(1(0(2(1(3(4(0(4(5(5(3(4(5(1(x1))))))))))))))))
   1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x1)))))))))))))))) -> 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x1))))))))))))))))
   1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x1)))))))))))))))) -> 0(1(2(5(3(1(4(3(4(3(5(0(1(1(5(4(x1))))))))))))))))
   1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x1)))))))))))))))) -> 0(1(2(5(5(1(3(4(5(4(4(5(1(5(0(3(x1))))))))))))))))
   1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x1)))))))))))))))) -> 0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x1))))))))))))))))
   1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x1)))))))))))))))) -> 0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x1))))))))))))))))
   1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x1)))))))))))))))) -> 0(2(5(3(4(2(5(4(0(1(4(2(2(3(4(0(x1))))))))))))))))
   1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x1)))))))))))))))) -> 0(3(0(4(4(4(2(3(2(4(5(0(3(0(1(1(x1))))))))))))))))
   1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x1)))))))))))))))) -> 0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x1))))))))))))))))
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