SRS_Standard 2019-03-29 03.29 pair #432292027

details

property	value
status	complete
benchmark	z022.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n007.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	5.10675 seconds
cpu usage	16.5765
user time	15.803
system time	0.7735
max virtual memory	3.9911224E7
max residence set size	2215412.0

stage attributes

key	value
starexec-result	YES

output

16.22/5.01	YES
16.22/5.04	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
16.22/5.04	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
16.22/5.04	
16.22/5.04	
16.22/5.04	Termination w.r.t. Q of the given QTRS could be proven:
16.22/5.04	
16.22/5.04	(0) QTRS
16.22/5.04	(1) FlatCCProof [EQUIVALENT, 0 ms]
16.22/5.04	(2) QTRS
16.22/5.04	(3) RootLabelingProof [EQUIVALENT, 0 ms]
16.22/5.04	(4) QTRS
16.22/5.04	(5) QTRSRRRProof [EQUIVALENT, 84 ms]
16.22/5.04	(6) QTRS
16.22/5.04	(7) DependencyPairsProof [EQUIVALENT, 59 ms]
16.22/5.04	(8) QDP
16.22/5.04	(9) DependencyGraphProof [EQUIVALENT, 0 ms]
16.22/5.04	(10) QDP
16.22/5.04	(11) UsableRulesProof [EQUIVALENT, 20 ms]
16.22/5.04	(12) QDP
16.22/5.04	(13) QDPOrderProof [EQUIVALENT, 80 ms]
16.22/5.04	(14) QDP
16.22/5.04	(15) DependencyGraphProof [EQUIVALENT, 0 ms]
16.22/5.04	(16) TRUE
16.22/5.04	
16.22/5.04	
16.22/5.04	----------------------------------------
16.22/5.04	
16.22/5.04	(0)
16.22/5.04	Obligation:
16.22/5.04	Q restricted rewrite system:
16.22/5.04	The TRS R consists of the following rules:
16.22/5.04	
16.22/5.04	   a(a(b(x1))) -> b(a(b(c(a(x1)))))
16.22/5.04	   b(a(x1)) -> a(b(b(x1)))
16.22/5.04	   b(c(a(x1))) -> c(a(b(x1)))
16.22/5.04	
16.22/5.04	Q is empty.
16.22/5.04	
16.22/5.04	----------------------------------------
16.22/5.04	
16.22/5.04	(1) FlatCCProof (EQUIVALENT)
16.22/5.04	We used flat context closure [ROOTLAB]
16.22/5.04	As Q is empty the flat context closure was sound AND complete.
16.22/5.04	
16.22/5.04	----------------------------------------
16.22/5.04	
16.22/5.04	(2)
16.22/5.04	Obligation:
16.22/5.04	Q restricted rewrite system:
16.22/5.04	The TRS R consists of the following rules:
16.22/5.04	
16.22/5.04	   a(a(a(b(x1)))) -> a(b(a(b(c(a(x1))))))
16.22/5.04	   b(a(a(b(x1)))) -> b(b(a(b(c(a(x1))))))
16.22/5.04	   c(a(a(b(x1)))) -> c(b(a(b(c(a(x1))))))
16.22/5.04	   a(b(a(x1))) -> a(a(b(b(x1))))
16.22/5.04	   b(b(a(x1))) -> b(a(b(b(x1))))
16.22/5.04	   c(b(a(x1))) -> c(a(b(b(x1))))
16.22/5.04	   a(b(c(a(x1)))) -> a(c(a(b(x1))))
16.22/5.04	   b(b(c(a(x1)))) -> b(c(a(b(x1))))
16.22/5.04	   c(b(c(a(x1)))) -> c(c(a(b(x1))))
16.22/5.04	
16.22/5.04	Q is empty.
16.22/5.04	
16.22/5.04	----------------------------------------
16.22/5.04	
16.22/5.04	(3) RootLabelingProof (EQUIVALENT)
16.22/5.04	We used plain root labeling [ROOTLAB] with the following heuristic:
16.22/5.04	LabelAll: All function symbols get labeled
16.22/5.04	
16.22/5.04	As Q is empty the root labeling was sound AND complete.
16.22/5.04	
16.22/5.04	----------------------------------------
16.22/5.04	
16.22/5.04	(4)
16.22/5.04	Obligation:
16.22/5.04	Q restricted rewrite system:
16.22/5.04	The TRS R consists of the following rules:
16.22/5.04	
16.22/5.04	   a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1)))) -> a_{b_1}(b_{a_1}(a_{b_1}(b_{c_1}(c_{a_1}(a_{a_1}(x1))))))
16.22/5.04	   a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1)))) -> a_{b_1}(b_{a_1}(a_{b_1}(b_{c_1}(c_{a_1}(a_{b_1}(x1))))))
16.22/5.04	   a_{a_1}(a_{a_1}(a_{b_1}(b_{c_1}(x1)))) -> a_{b_1}(b_{a_1}(a_{b_1}(b_{c_1}(c_{a_1}(a_{c_1}(x1))))))
16.22/5.04	   b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1)))) -> b_{b_1}(b_{a_1}(a_{b_1}(b_{c_1}(c_{a_1}(a_{a_1}(x1))))))
16.22/5.04	   b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1)))) -> b_{b_1}(b_{a_1}(a_{b_1}(b_{c_1}(c_{a_1}(a_{b_1}(x1))))))
16.22/5.04	   b_{a_1}(a_{a_1}(a_{b_1}(b_{c_1}(x1)))) -> b_{b_1}(b_{a_1}(a_{b_1}(b_{c_1}(c_{a_1}(a_{c_1}(x1))))))
16.22/5.04	   c_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1)))) -> c_{b_1}(b_{a_1}(a_{b_1}(b_{c_1}(c_{a_1}(a_{a_1}(x1))))))
16.22/5.04	   c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1)))) -> c_{b_1}(b_{a_1}(a_{b_1}(b_{c_1}(c_{a_1}(a_{b_1}(x1))))))
16.22/5.04	   c_{a_1}(a_{a_1}(a_{b_1}(b_{c_1}(x1)))) -> c_{b_1}(b_{a_1}(a_{b_1}(b_{c_1}(c_{a_1}(a_{c_1}(x1))))))
16.22/5.04	   a_{b_1}(b_{a_1}(a_{a_1}(x1))) -> a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1))))
16.22/5.04	   a_{b_1}(b_{a_1}(a_{b_1}(x1))) -> a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1))))
16.22/5.04	   a_{b_1}(b_{a_1}(a_{c_1}(x1))) -> a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x1))))
16.22/5.04	   b_{b_1}(b_{a_1}(a_{a_1}(x1))) -> b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1))))
16.22/5.04	   b_{b_1}(b_{a_1}(a_{b_1}(x1))) -> b_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1))))
16.22/5.04	   b_{b_1}(b_{a_1}(a_{c_1}(x1))) -> b_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x1))))
16.22/5.04	   c_{b_1}(b_{a_1}(a_{a_1}(x1))) -> c_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1))))
16.22/5.04	   c_{b_1}(b_{a_1}(a_{b_1}(x1))) -> c_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1))))
16.22/5.04	   c_{b_1}(b_{a_1}(a_{c_1}(x1))) -> c_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x1))))
16.22/5.04	   a_{b_1}(b_{c_1}(c_{a_1}(a_{a_1}(x1)))) -> a_{c_1}(c_{a_1}(a_{b_1}(b_{a_1}(x1))))
16.22/5.04	   a_{b_1}(b_{c_1}(c_{a_1}(a_{b_1}(x1)))) -> a_{c_1}(c_{a_1}(a_{b_1}(b_{b_1}(x1))))
16.22/5.04	   a_{b_1}(b_{c_1}(c_{a_1}(a_{c_1}(x1)))) -> a_{c_1}(c_{a_1}(a_{b_1}(b_{c_1}(x1))))

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