SRS_Standard 2019-03-29 03.29 pair #432293959

details

property	value
status	complete
benchmark	5-matchbox.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n078.star.cs.uiowa.edu
space	Secret_06_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	3.9044 seconds
cpu usage	11.8544
user time	11.2821
system time	0.572287
max virtual memory	3.9243888E7
max residence set size	1738336.0

stage attributes

key	value
starexec-result	YES

output

11.42/3.72	YES
11.42/3.78	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
11.42/3.78	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
11.42/3.78	
11.42/3.78	
11.42/3.78	Termination w.r.t. Q of the given QTRS could be proven:
11.42/3.78	
11.42/3.78	(0) QTRS
11.42/3.78	(1) FlatCCProof [EQUIVALENT, 0 ms]
11.42/3.78	(2) QTRS
11.42/3.78	(3) RootLabelingProof [EQUIVALENT, 0 ms]
11.42/3.78	(4) QTRS
11.42/3.78	(5) QTRSRRRProof [EQUIVALENT, 55 ms]
11.42/3.78	(6) QTRS
11.42/3.78	(7) DependencyPairsProof [EQUIVALENT, 17 ms]
11.42/3.78	(8) QDP
11.42/3.78	(9) DependencyGraphProof [EQUIVALENT, 0 ms]
11.42/3.78	(10) QDP
11.42/3.78	(11) QDPOrderProof [EQUIVALENT, 151 ms]
11.42/3.78	(12) QDP
11.42/3.78	(13) DependencyGraphProof [EQUIVALENT, 0 ms]
11.42/3.78	(14) TRUE
11.42/3.78	
11.42/3.78	
11.42/3.78	----------------------------------------
11.42/3.78	
11.42/3.78	(0)
11.42/3.78	Obligation:
11.42/3.78	Q restricted rewrite system:
11.42/3.78	The TRS R consists of the following rules:
11.42/3.78	
11.42/3.78	   a(b(c(x1))) -> a(a(b(x1)))
11.42/3.78	   a(b(c(x1))) -> b(c(b(c(x1))))
11.42/3.78	   a(b(c(x1))) -> c(b(c(a(x1))))
11.42/3.78	
11.42/3.78	Q is empty.
11.42/3.78	
11.42/3.78	----------------------------------------
11.42/3.78	
11.42/3.78	(1) FlatCCProof (EQUIVALENT)
11.42/3.78	We used flat context closure [ROOTLAB]
11.42/3.78	As Q is empty the flat context closure was sound AND complete.
11.42/3.78	
11.42/3.78	----------------------------------------
11.42/3.78	
11.42/3.78	(2)
11.42/3.78	Obligation:
11.42/3.78	Q restricted rewrite system:
11.42/3.78	The TRS R consists of the following rules:
11.42/3.78	
11.42/3.78	   a(b(c(x1))) -> a(a(b(x1)))
11.42/3.78	   a(a(b(c(x1)))) -> a(b(c(b(c(x1)))))
11.42/3.78	   b(a(b(c(x1)))) -> b(b(c(b(c(x1)))))
11.42/3.78	   c(a(b(c(x1)))) -> c(b(c(b(c(x1)))))
11.42/3.78	   a(a(b(c(x1)))) -> a(c(b(c(a(x1)))))
11.42/3.78	   b(a(b(c(x1)))) -> b(c(b(c(a(x1)))))
11.42/3.78	   c(a(b(c(x1)))) -> c(c(b(c(a(x1)))))
11.42/3.78	
11.42/3.78	Q is empty.
11.42/3.78	
11.42/3.78	----------------------------------------
11.42/3.78	
11.42/3.78	(3) RootLabelingProof (EQUIVALENT)
11.42/3.78	We used plain root labeling [ROOTLAB] with the following heuristic:
11.42/3.78	LabelAll: All function symbols get labeled
11.42/3.78	
11.42/3.78	As Q is empty the root labeling was sound AND complete.
11.42/3.78	
11.42/3.78	----------------------------------------
11.42/3.78	
11.42/3.78	(4)
11.42/3.78	Obligation:
11.42/3.78	Q restricted rewrite system:
11.42/3.78	The TRS R consists of the following rules:
11.42/3.78	
11.42/3.78	   a_{b_1}(b_{c_1}(c_{a_1}(x1))) -> a_{a_1}(a_{b_1}(b_{a_1}(x1)))
11.42/3.78	   a_{b_1}(b_{c_1}(c_{b_1}(x1))) -> a_{a_1}(a_{b_1}(b_{b_1}(x1)))
11.42/3.78	   a_{b_1}(b_{c_1}(c_{c_1}(x1))) -> a_{a_1}(a_{b_1}(b_{c_1}(x1)))
11.42/3.78	   a_{a_1}(a_{b_1}(b_{c_1}(c_{a_1}(x1)))) -> a_{b_1}(b_{c_1}(c_{b_1}(b_{c_1}(c_{a_1}(x1)))))
11.42/3.78	   a_{a_1}(a_{b_1}(b_{c_1}(c_{b_1}(x1)))) -> a_{b_1}(b_{c_1}(c_{b_1}(b_{c_1}(c_{b_1}(x1)))))
11.42/3.78	   a_{a_1}(a_{b_1}(b_{c_1}(c_{c_1}(x1)))) -> a_{b_1}(b_{c_1}(c_{b_1}(b_{c_1}(c_{c_1}(x1)))))
11.42/3.78	   b_{a_1}(a_{b_1}(b_{c_1}(c_{a_1}(x1)))) -> b_{b_1}(b_{c_1}(c_{b_1}(b_{c_1}(c_{a_1}(x1)))))
11.42/3.78	   b_{a_1}(a_{b_1}(b_{c_1}(c_{b_1}(x1)))) -> b_{b_1}(b_{c_1}(c_{b_1}(b_{c_1}(c_{b_1}(x1)))))
11.42/3.78	   b_{a_1}(a_{b_1}(b_{c_1}(c_{c_1}(x1)))) -> b_{b_1}(b_{c_1}(c_{b_1}(b_{c_1}(c_{c_1}(x1)))))
11.42/3.78	   c_{a_1}(a_{b_1}(b_{c_1}(c_{a_1}(x1)))) -> c_{b_1}(b_{c_1}(c_{b_1}(b_{c_1}(c_{a_1}(x1)))))
11.42/3.78	   c_{a_1}(a_{b_1}(b_{c_1}(c_{b_1}(x1)))) -> c_{b_1}(b_{c_1}(c_{b_1}(b_{c_1}(c_{b_1}(x1)))))
11.42/3.78	   c_{a_1}(a_{b_1}(b_{c_1}(c_{c_1}(x1)))) -> c_{b_1}(b_{c_1}(c_{b_1}(b_{c_1}(c_{c_1}(x1)))))
11.42/3.78	   a_{a_1}(a_{b_1}(b_{c_1}(c_{a_1}(x1)))) -> a_{c_1}(c_{b_1}(b_{c_1}(c_{a_1}(a_{a_1}(x1)))))
11.42/3.78	   a_{a_1}(a_{b_1}(b_{c_1}(c_{b_1}(x1)))) -> a_{c_1}(c_{b_1}(b_{c_1}(c_{a_1}(a_{b_1}(x1)))))
11.42/3.78	   a_{a_1}(a_{b_1}(b_{c_1}(c_{c_1}(x1)))) -> a_{c_1}(c_{b_1}(b_{c_1}(c_{a_1}(a_{c_1}(x1)))))
11.42/3.78	   b_{a_1}(a_{b_1}(b_{c_1}(c_{a_1}(x1)))) -> b_{c_1}(c_{b_1}(b_{c_1}(c_{a_1}(a_{a_1}(x1)))))
11.42/3.78	   b_{a_1}(a_{b_1}(b_{c_1}(c_{b_1}(x1)))) -> b_{c_1}(c_{b_1}(b_{c_1}(c_{a_1}(a_{b_1}(x1)))))
11.42/3.78	   b_{a_1}(a_{b_1}(b_{c_1}(c_{c_1}(x1)))) -> b_{c_1}(c_{b_1}(b_{c_1}(c_{a_1}(a_{c_1}(x1)))))
11.42/3.78	   c_{a_1}(a_{b_1}(b_{c_1}(c_{a_1}(x1)))) -> c_{c_1}(c_{b_1}(b_{c_1}(c_{a_1}(a_{a_1}(x1)))))
11.42/3.78	   c_{a_1}(a_{b_1}(b_{c_1}(c_{b_1}(x1)))) -> c_{c_1}(c_{b_1}(b_{c_1}(c_{a_1}(a_{b_1}(x1)))))
11.42/3.78	   c_{a_1}(a_{b_1}(b_{c_1}(c_{c_1}(x1)))) -> c_{c_1}(c_{b_1}(b_{c_1}(c_{a_1}(a_{c_1}(x1)))))
11.42/3.78	
11.42/3.78	Q is empty.
11.42/3.78	
11.42/3.78	----------------------------------------

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