SRS_Standard 2019-03-29 03.29 pair #432293797

details

property	value
status	complete
benchmark	x02.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n087.star.cs.uiowa.edu
space	Secret_07_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	29.0452 seconds
cpu usage	110.555
user time	107.904
system time	2.65099
max virtual memory	4.09978E7
max residence set size	5127172.0

stage attributes

key	value
starexec-result	YES

output

109.71/28.83	YES
110.25/28.90	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
110.25/28.90	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
110.25/28.90	
110.25/28.90	
110.25/28.90	Termination w.r.t. Q of the given QTRS could be proven:
110.25/28.90	
110.25/28.90	(0) QTRS
110.25/28.90	(1) FlatCCProof [EQUIVALENT, 0 ms]
110.25/28.90	(2) QTRS
110.25/28.90	(3) RootLabelingProof [EQUIVALENT, 0 ms]
110.25/28.90	(4) QTRS
110.25/28.90	(5) QTRSRRRProof [EQUIVALENT, 328 ms]
110.25/28.90	(6) QTRS
110.25/28.90	(7) DependencyPairsProof [EQUIVALENT, 165 ms]
110.25/28.90	(8) QDP
110.25/28.90	(9) DependencyGraphProof [EQUIVALENT, 0 ms]
110.25/28.90	(10) QDP
110.25/28.90	(11) QDPOrderProof [EQUIVALENT, 4904 ms]
110.25/28.90	(12) QDP
110.25/28.90	(13) DependencyGraphProof [EQUIVALENT, 0 ms]
110.25/28.90	(14) TRUE
110.25/28.90	
110.25/28.90	
110.25/28.90	----------------------------------------
110.25/28.90	
110.25/28.90	(0)
110.25/28.90	Obligation:
110.25/28.90	Q restricted rewrite system:
110.25/28.90	The TRS R consists of the following rules:
110.25/28.90	
110.25/28.90	   a(b(x1)) -> c(d(x1))
110.25/28.90	   d(d(x1)) -> b(e(x1))
110.25/28.90	   b(x1) -> d(c(x1))
110.25/28.90	   d(x1) -> x1
110.25/28.90	   e(c(x1)) -> d(a(x1))
110.25/28.90	   a(x1) -> e(d(x1))
110.25/28.90	
110.25/28.90	Q is empty.
110.25/28.90	
110.25/28.90	----------------------------------------
110.25/28.90	
110.25/28.90	(1) FlatCCProof (EQUIVALENT)
110.25/28.90	We used flat context closure [ROOTLAB]
110.25/28.90	As Q is empty the flat context closure was sound AND complete.
110.25/28.90	
110.25/28.90	----------------------------------------
110.25/28.90	
110.25/28.90	(2)
110.25/28.90	Obligation:
110.25/28.90	Q restricted rewrite system:
110.25/28.90	The TRS R consists of the following rules:
110.25/28.90	
110.25/28.90	   a(a(b(x1))) -> a(c(d(x1)))
110.25/28.90	   b(a(b(x1))) -> b(c(d(x1)))
110.25/28.90	   c(a(b(x1))) -> c(c(d(x1)))
110.25/28.90	   d(a(b(x1))) -> d(c(d(x1)))
110.25/28.90	   e(a(b(x1))) -> e(c(d(x1)))
110.25/28.90	   a(d(d(x1))) -> a(b(e(x1)))
110.25/28.90	   b(d(d(x1))) -> b(b(e(x1)))
110.25/28.90	   c(d(d(x1))) -> c(b(e(x1)))
110.25/28.90	   d(d(d(x1))) -> d(b(e(x1)))
110.25/28.90	   e(d(d(x1))) -> e(b(e(x1)))
110.25/28.90	   a(b(x1)) -> a(d(c(x1)))
110.25/28.90	   b(b(x1)) -> b(d(c(x1)))
110.25/28.90	   c(b(x1)) -> c(d(c(x1)))
110.25/28.90	   d(b(x1)) -> d(d(c(x1)))
110.25/28.90	   e(b(x1)) -> e(d(c(x1)))
110.25/28.90	   a(d(x1)) -> a(x1)
110.25/28.90	   b(d(x1)) -> b(x1)
110.25/28.90	   c(d(x1)) -> c(x1)
110.25/28.90	   d(d(x1)) -> d(x1)
110.25/28.90	   e(d(x1)) -> e(x1)
110.25/28.90	   a(e(c(x1))) -> a(d(a(x1)))
110.25/28.90	   b(e(c(x1))) -> b(d(a(x1)))
110.25/28.90	   c(e(c(x1))) -> c(d(a(x1)))
110.25/28.90	   d(e(c(x1))) -> d(d(a(x1)))
110.25/28.90	   e(e(c(x1))) -> e(d(a(x1)))
110.25/28.90	   a(a(x1)) -> a(e(d(x1)))
110.25/28.90	   b(a(x1)) -> b(e(d(x1)))
110.25/28.90	   c(a(x1)) -> c(e(d(x1)))
110.25/28.90	   d(a(x1)) -> d(e(d(x1)))
110.25/28.90	   e(a(x1)) -> e(e(d(x1)))
110.25/28.90	
110.25/28.90	Q is empty.
110.25/28.90	
110.25/28.90	----------------------------------------
110.25/28.90	
110.25/28.90	(3) RootLabelingProof (EQUIVALENT)
110.25/28.90	We used plain root labeling [ROOTLAB] with the following heuristic:
110.25/28.90	LabelAll: All function symbols get labeled
110.25/28.90	
110.25/28.90	As Q is empty the root labeling was sound AND complete.
110.25/28.90	
110.25/28.90	----------------------------------------
110.25/28.90	
110.25/28.90	(4)
110.25/28.90	Obligation:
110.25/28.90	Q restricted rewrite system:
110.25/28.90	The TRS R consists of the following rules:

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