SRS_Standard 2019-03-29 03.29 pair #432295117

details

property	value
status	complete
benchmark	beans2.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n089.star.cs.uiowa.edu
space	Zantema_06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	6.65393 seconds
cpu usage	16.6381
user time	15.8832
system time	0.754893
max virtual memory	8.2623176E7
max residence set size	2120632.0

stage attributes

key	value
starexec-result	YES

output

16.09/4.98	YES
16.09/4.99	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
16.09/4.99	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
16.09/4.99	
16.09/4.99	
16.09/4.99	Termination w.r.t. Q of the given QTRS could be proven:
16.09/4.99	
16.09/4.99	(0) QTRS
16.09/4.99	(1) DependencyPairsProof [EQUIVALENT, 18 ms]
16.09/4.99	(2) QDP
16.09/4.99	(3) DependencyGraphProof [EQUIVALENT, 0 ms]
16.09/4.99	(4) AND
16.09/4.99	    (5) QDP
16.09/4.99	        (6) UsableRulesProof [EQUIVALENT, 0 ms]
16.09/4.99	        (7) QDP
16.09/4.99	        (8) MRRProof [EQUIVALENT, 42 ms]
16.09/4.99	        (9) QDP
16.09/4.99	        (10) DependencyGraphProof [EQUIVALENT, 0 ms]
16.09/4.99	        (11) TRUE
16.09/4.99	    (12) QDP
16.09/4.99	        (13) MNOCProof [EQUIVALENT, 0 ms]
16.09/4.99	        (14) QDP
16.09/4.99	        (15) UsableRulesProof [EQUIVALENT, 0 ms]
16.09/4.99	        (16) QDP
16.09/4.99	        (17) QReductionProof [EQUIVALENT, 0 ms]
16.09/4.99	        (18) QDP
16.09/4.99	        (19) QDPOrderProof [EQUIVALENT, 33 ms]
16.09/4.99	        (20) QDP
16.09/4.99	        (21) PisEmptyProof [EQUIVALENT, 0 ms]
16.09/4.99	        (22) YES
16.09/4.99	
16.09/4.99	
16.09/4.99	----------------------------------------
16.09/4.99	
16.09/4.99	(0)
16.09/4.99	Obligation:
16.09/4.99	Q restricted rewrite system:
16.09/4.99	The TRS R consists of the following rules:
16.09/4.99	
16.09/4.99	   b(a(a(x1))) -> a(b(c(x1)))
16.09/4.99	   c(a(x1)) -> a(c(x1))
16.09/4.99	   c(b(x1)) -> b(a(x1))
16.09/4.99	   L(a(a(x1))) -> L(a(b(c(x1))))
16.09/4.99	   c(R(x1)) -> b(a(R(x1)))
16.09/4.99	
16.09/4.99	Q is empty.
16.09/4.99	
16.09/4.99	----------------------------------------
16.09/4.99	
16.09/4.99	(1) DependencyPairsProof (EQUIVALENT)
16.09/4.99	Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem.
16.09/4.99	----------------------------------------
16.09/4.99	
16.09/4.99	(2)
16.09/4.99	Obligation:
16.09/4.99	Q DP problem:
16.09/4.99	The TRS P consists of the following rules:
16.09/4.99	
16.09/4.99	   B(a(a(x1))) -> B(c(x1))
16.09/4.99	   B(a(a(x1))) -> C(x1)
16.09/4.99	   C(a(x1)) -> C(x1)
16.09/4.99	   C(b(x1)) -> B(a(x1))
16.09/4.99	   L^1(a(a(x1))) -> L^1(a(b(c(x1))))
16.09/4.99	   L^1(a(a(x1))) -> B(c(x1))
16.09/4.99	   L^1(a(a(x1))) -> C(x1)
16.09/4.99	   C(R(x1)) -> B(a(R(x1)))
16.09/4.99	
16.09/4.99	The TRS R consists of the following rules:
16.09/4.99	
16.09/4.99	   b(a(a(x1))) -> a(b(c(x1)))
16.09/4.99	   c(a(x1)) -> a(c(x1))
16.09/4.99	   c(b(x1)) -> b(a(x1))
16.09/4.99	   L(a(a(x1))) -> L(a(b(c(x1))))
16.09/4.99	   c(R(x1)) -> b(a(R(x1)))
16.09/4.99	
16.09/4.99	Q is empty.
16.09/4.99	We have to consider all minimal (P,Q,R)-chains.
16.09/4.99	----------------------------------------
16.09/4.99	
16.09/4.99	(3) DependencyGraphProof (EQUIVALENT)
16.09/4.99	The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs with 3 less nodes.
16.09/4.99	----------------------------------------
16.09/4.99	
16.09/4.99	(4)
16.09/4.99	Complex Obligation (AND)
16.09/4.99	
16.09/4.99	----------------------------------------
16.09/4.99	
16.09/4.99	(5)
16.09/4.99	Obligation:
16.09/4.99	Q DP problem:
16.09/4.99	The TRS P consists of the following rules:
16.09/4.99	
16.09/4.99	   B(a(a(x1))) -> C(x1)
16.09/4.99	   C(a(x1)) -> C(x1)
16.09/4.99	   C(b(x1)) -> B(a(x1))
16.09/4.99	   B(a(a(x1))) -> B(c(x1))
16.09/4.99	
16.09/4.99	The TRS R consists of the following rules:
16.09/4.99

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