TRS_Conditional 2019-03-28 22.59 pair #432272679

details

property	value
status	complete
benchmark	ex2-lucmes-wrla14.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n039.star.cs.uiowa.edu
space	Mixed_CTRS_2014

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.75189 seconds
cpu usage	6.56916
user time	6.29137
system time	0.277797
max virtual memory	3.6841824E7
max residence set size	557668.0

stage attributes

key	value
starexec-result	MAYBE

output

6.37/2.70	MAYBE
6.37/2.71	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
6.37/2.71	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
6.37/2.71	
6.37/2.71	
6.37/2.71	Quasi decreasingness of the given CTRS could not be shown:
6.37/2.71	
6.37/2.71	(0) CTRS
6.37/2.71	(1) CTRSToQTRSProof [SOUND, 0 ms]
6.37/2.71	(2) QTRS
6.37/2.71	(3) Overlay + Local Confluence [EQUIVALENT, 0 ms]
6.37/2.71	(4) QTRS
6.37/2.71	(5) DependencyPairsProof [EQUIVALENT, 0 ms]
6.37/2.71	(6) QDP
6.37/2.71	(7) DependencyGraphProof [EQUIVALENT, 0 ms]
6.37/2.71	(8) QDP
6.37/2.71	(9) UsableRulesProof [EQUIVALENT, 0 ms]
6.37/2.71	(10) QDP
6.37/2.71	(11) QReductionProof [EQUIVALENT, 0 ms]
6.37/2.71	(12) QDP
6.37/2.71	(13) TransformationProof [EQUIVALENT, 0 ms]
6.37/2.71	(14) QDP
6.37/2.71	(15) NonTerminationLoopProof [COMPLETE, 0 ms]
6.37/2.71	(16) NO
6.37/2.71	
6.37/2.71	
6.37/2.71	----------------------------------------
6.37/2.71	
6.37/2.71	(0)
6.37/2.71	Obligation:
6.37/2.71	Conditional term rewrite system:
6.37/2.71	The TRS R consists of the following rules:
6.37/2.71	
6.37/2.71	   g(a) -> c(b)
6.37/2.71	   b -> f(a)
6.37/2.71	
6.37/2.71	The conditional TRS C consists of the following conditional rules:
6.37/2.71	
6.37/2.71	   f(x) -> y <= g(x) -> c(y)
6.37/2.71	
6.37/2.71	
6.37/2.71	----------------------------------------
6.37/2.71	
6.37/2.71	(1) CTRSToQTRSProof (SOUND)
6.37/2.71	The conditional rules have been transormed into unconditional rules according to [CTRS,AAECCNOC].
6.37/2.71	----------------------------------------
6.37/2.71	
6.37/2.71	(2)
6.37/2.71	Obligation:
6.37/2.71	Q restricted rewrite system:
6.37/2.71	The TRS R consists of the following rules:
6.37/2.71	
6.37/2.71	   f(x) -> U1(g(x))
6.37/2.71	   U1(c(y)) -> y
6.37/2.71	   g(a) -> c(b)
6.37/2.71	   b -> f(a)
6.37/2.71	
6.37/2.71	Q is empty.
6.37/2.71	
6.37/2.71	----------------------------------------
6.37/2.71	
6.37/2.71	(3) Overlay + Local Confluence (EQUIVALENT)
6.37/2.71	The TRS is overlay and locally confluent. By [NOC] we can switch to innermost.
6.37/2.71	----------------------------------------
6.37/2.71	
6.37/2.71	(4)
6.37/2.71	Obligation:
6.37/2.71	Q restricted rewrite system:
6.37/2.71	The TRS R consists of the following rules:
6.37/2.71	
6.37/2.71	   f(x) -> U1(g(x))
6.37/2.71	   U1(c(y)) -> y
6.37/2.71	   g(a) -> c(b)
6.37/2.71	   b -> f(a)
6.37/2.71	
6.37/2.71	The set Q consists of the following terms:
6.37/2.71	
6.37/2.71	   f(x0)
6.37/2.71	   U1(c(x0))
6.37/2.71	   g(a)
6.37/2.71	   b
6.37/2.71	
6.37/2.71	
6.37/2.71	----------------------------------------
6.37/2.71	
6.37/2.71	(5) DependencyPairsProof (EQUIVALENT)
6.37/2.71	Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem.
6.37/2.71	----------------------------------------
6.37/2.71	
6.37/2.71	(6)
6.37/2.71	Obligation:
6.37/2.71	Q DP problem:
6.37/2.71	The TRS P consists of the following rules:
6.37/2.71	
6.37/2.71	   F(x) -> U1^1(g(x))
6.37/2.71	   F(x) -> G(x)
6.37/2.71	   G(a) -> B
6.37/2.71	   B -> F(a)
6.37/2.71	
6.37/2.71	The TRS R consists of the following rules:

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