SRS_Relative 2019-03-29 08.12 pair #432295393

details

property	value
status	complete
benchmark	zr11.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n166.star.cs.uiowa.edu
space	Mixed_relative_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	3.86278 seconds
cpu usage	11.1464
user time	10.5251
system time	0.621322
max virtual memory	3.9399364E7
max residence set size	1364780.0

stage attributes

key	value
starexec-result	YES

output

11.02/3.81	YES
11.02/3.82	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
11.02/3.82	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
11.02/3.82	
11.02/3.82	
11.02/3.82	Termination of the given RelTRS could be proven:
11.02/3.82	
11.02/3.82	(0) RelTRS
11.02/3.82	(1) RelTRS Reverse [EQUIVALENT, 0 ms]
11.02/3.82	(2) RelTRS
11.02/3.82	(3) FlatCCProof [EQUIVALENT, 0 ms]
11.02/3.82	(4) RelTRS
11.02/3.82	(5) RootLabelingProof [EQUIVALENT, 0 ms]
11.02/3.82	(6) RelTRS
11.02/3.82	(7) RelTRSRRRProof [EQUIVALENT, 16 ms]
11.02/3.82	(8) RelTRS
11.02/3.82	(9) RelTRSRRRProof [EQUIVALENT, 1 ms]
11.02/3.82	(10) RelTRS
11.02/3.82	(11) RelTRSRRRProof [EQUIVALENT, 120 ms]
11.02/3.82	(12) RelTRS
11.02/3.82	(13) RelTRSRRRProof [EQUIVALENT, 4 ms]
11.02/3.82	(14) RelTRS
11.02/3.82	(15) RIsEmptyProof [EQUIVALENT, 0 ms]
11.02/3.82	(16) YES
11.02/3.82	
11.02/3.82	
11.02/3.82	----------------------------------------
11.02/3.82	
11.02/3.82	(0)
11.02/3.82	Obligation:
11.02/3.82	Relative term rewrite system:
11.02/3.82	The relative TRS consists of the following R rules:
11.02/3.82	
11.02/3.82	   b(c(a(x1))) -> a(b(a(b(x1))))
11.02/3.82	   a(a(x1)) -> a(c(b(a(x1))))
11.02/3.82	
11.02/3.82	The relative TRS consists of the following S rules:
11.02/3.82	
11.02/3.82	   b(x1) -> c(b(x1))
11.02/3.82	
11.02/3.82	
11.02/3.82	----------------------------------------
11.02/3.82	
11.02/3.82	(1) RelTRS Reverse (EQUIVALENT)
11.02/3.82	We have reversed the following relative TRS [REVERSE]:
11.02/3.82	The set of rules R is 
11.02/3.82	   b(c(a(x1))) -> a(b(a(b(x1))))
11.02/3.82	   a(a(x1)) -> a(c(b(a(x1))))
11.02/3.82	
11.02/3.82	The set of rules S is 
11.02/3.82	   b(x1) -> c(b(x1))
11.02/3.82	
11.02/3.82	We have obtained the following relative TRS:
11.02/3.82	The set of rules R is 
11.02/3.82	   a(c(b(x1))) -> b(a(b(a(x1))))
11.02/3.82	   a(a(x1)) -> a(b(c(a(x1))))
11.02/3.82	
11.02/3.82	The set of rules S is 
11.02/3.82	   b(x1) -> b(c(x1))
11.02/3.82	
11.02/3.82	
11.02/3.82	----------------------------------------
11.02/3.82	
11.02/3.82	(2)
11.02/3.82	Obligation:
11.02/3.82	Relative term rewrite system:
11.02/3.82	The relative TRS consists of the following R rules:
11.02/3.82	
11.02/3.82	   a(c(b(x1))) -> b(a(b(a(x1))))
11.02/3.82	   a(a(x1)) -> a(b(c(a(x1))))
11.02/3.82	
11.02/3.82	The relative TRS consists of the following S rules:
11.02/3.82	
11.02/3.82	   b(x1) -> b(c(x1))
11.02/3.82	
11.02/3.82	
11.02/3.82	----------------------------------------
11.02/3.82	
11.02/3.82	(3) FlatCCProof (EQUIVALENT)
11.02/3.82	We used flat context closure [ROOTLAB]
11.02/3.82	
11.02/3.82	----------------------------------------
11.02/3.82	
11.02/3.82	(4)
11.02/3.82	Obligation:
11.02/3.82	Relative term rewrite system:
11.02/3.82	The relative TRS consists of the following R rules:
11.02/3.82	
11.02/3.82	   a(a(x1)) -> a(b(c(a(x1))))
11.02/3.82	   a(a(c(b(x1)))) -> a(b(a(b(a(x1)))))
11.02/3.82	   c(a(c(b(x1)))) -> c(b(a(b(a(x1)))))
11.02/3.82	   b(a(c(b(x1)))) -> b(b(a(b(a(x1)))))
11.02/3.82	
11.02/3.82	The relative TRS consists of the following S rules:
11.02/3.82	
11.02/3.82	   b(x1) -> b(c(x1))
11.02/3.82	
11.02/3.82	
11.02/3.82	----------------------------------------
11.02/3.82

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