SRS_Standard 2019-03-29 03.29 pair #432289849

details

property	value
status	complete
benchmark	size-12-alpha-3-num-71.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	Waldmann_07_size12

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	5.00471 seconds
cpu usage	16.0367
user time	15.3452
system time	0.691494
max virtual memory	3.990148E7
max residence set size	1963492.0

stage attributes

key	value
starexec-result	YES

output

15.53/4.84	YES
15.81/4.91	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
15.81/4.91	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
15.81/4.91	
15.81/4.91	
15.81/4.91	Termination w.r.t. Q of the given QTRS could be proven:
15.81/4.91	
15.81/4.91	(0) QTRS
15.81/4.91	(1) QTRS Reverse [EQUIVALENT, 0 ms]
15.81/4.91	(2) QTRS
15.81/4.91	(3) FlatCCProof [EQUIVALENT, 0 ms]
15.81/4.91	(4) QTRS
15.81/4.91	(5) RootLabelingProof [EQUIVALENT, 0 ms]
15.81/4.91	(6) QTRS
15.81/4.91	(7) QTRSRRRProof [EQUIVALENT, 101 ms]
15.81/4.91	(8) QTRS
15.81/4.91	(9) DependencyPairsProof [EQUIVALENT, 80 ms]
15.81/4.91	(10) QDP
15.81/4.91	(11) DependencyGraphProof [EQUIVALENT, 0 ms]
15.81/4.91	(12) QDP
15.81/4.91	(13) QDPOrderProof [EQUIVALENT, 136 ms]
15.81/4.91	(14) QDP
15.81/4.91	(15) DependencyGraphProof [EQUIVALENT, 0 ms]
15.81/4.91	(16) TRUE
15.81/4.91	
15.81/4.91	
15.81/4.91	----------------------------------------
15.81/4.91	
15.81/4.91	(0)
15.81/4.91	Obligation:
15.81/4.91	Q restricted rewrite system:
15.81/4.91	The TRS R consists of the following rules:
15.81/4.91	
15.81/4.91	   a(x1) -> x1
15.81/4.91	   a(a(x1)) -> b(x1)
15.81/4.91	   b(x1) -> x1
15.81/4.91	   b(c(x1)) -> c(c(c(b(a(x1)))))
15.81/4.91	
15.81/4.91	Q is empty.
15.81/4.91	
15.81/4.91	----------------------------------------
15.81/4.91	
15.81/4.91	(1) QTRS Reverse (EQUIVALENT)
15.81/4.91	We applied the QTRS Reverse Processor [REVERSE].
15.81/4.91	----------------------------------------
15.81/4.91	
15.81/4.91	(2)
15.81/4.91	Obligation:
15.81/4.91	Q restricted rewrite system:
15.81/4.91	The TRS R consists of the following rules:
15.81/4.91	
15.81/4.91	   a(x1) -> x1
15.81/4.91	   a(a(x1)) -> b(x1)
15.81/4.91	   b(x1) -> x1
15.81/4.91	   c(b(x1)) -> a(b(c(c(c(x1)))))
15.81/4.91	
15.81/4.91	Q is empty.
15.81/4.91	
15.81/4.91	----------------------------------------
15.81/4.91	
15.81/4.91	(3) FlatCCProof (EQUIVALENT)
15.81/4.91	We used flat context closure [ROOTLAB]
15.81/4.91	As Q is empty the flat context closure was sound AND complete.
15.81/4.91	
15.81/4.91	----------------------------------------
15.81/4.91	
15.81/4.91	(4)
15.81/4.91	Obligation:
15.81/4.91	Q restricted rewrite system:
15.81/4.91	The TRS R consists of the following rules:
15.81/4.91	
15.81/4.91	   a(a(x1)) -> a(x1)
15.81/4.91	   b(a(x1)) -> b(x1)
15.81/4.91	   c(a(x1)) -> c(x1)
15.81/4.91	   a(a(a(x1))) -> a(b(x1))
15.81/4.91	   b(a(a(x1))) -> b(b(x1))
15.81/4.91	   c(a(a(x1))) -> c(b(x1))
15.81/4.91	   a(b(x1)) -> a(x1)
15.81/4.91	   b(b(x1)) -> b(x1)
15.81/4.91	   c(b(x1)) -> c(x1)
15.81/4.91	   a(c(b(x1))) -> a(a(b(c(c(c(x1))))))
15.81/4.91	   b(c(b(x1))) -> b(a(b(c(c(c(x1))))))
15.81/4.91	   c(c(b(x1))) -> c(a(b(c(c(c(x1))))))
15.81/4.91	
15.81/4.91	Q is empty.
15.81/4.91	
15.81/4.91	----------------------------------------
15.81/4.91	
15.81/4.91	(5) RootLabelingProof (EQUIVALENT)
15.81/4.91	We used plain root labeling [ROOTLAB] with the following heuristic:
15.81/4.91	LabelAll: All function symbols get labeled
15.81/4.91	
15.81/4.91	As Q is empty the root labeling was sound AND complete.
15.81/4.91	
15.81/4.91	----------------------------------------
15.81/4.91	
15.81/4.91	(6)
15.81/4.91	Obligation:
15.81/4.91	Q restricted rewrite system:
15.81/4.91	The TRS R consists of the following rules:

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