SRS_Standard 2019-03-29 03.29 pair #432294763

details

property	value
status	complete
benchmark	random-383.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n034.star.cs.uiowa.edu
space	Waldmann_19

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	3.79039 seconds
cpu usage	11.23
user time	10.6785
system time	0.55154
max virtual memory	2.007252E7
max residence set size	1532880.0

stage attributes

key	value
starexec-result	YES

output

10.72/3.63	YES
11.09/3.71	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
11.09/3.71	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
11.09/3.71	
11.09/3.71	
11.09/3.71	Termination w.r.t. Q of the given QTRS could be proven:
11.09/3.71	
11.09/3.71	(0) QTRS
11.09/3.71	(1) QTRS Reverse [EQUIVALENT, 0 ms]
11.09/3.71	(2) QTRS
11.09/3.71	(3) DependencyPairsProof [EQUIVALENT, 23 ms]
11.09/3.71	(4) QDP
11.09/3.71	(5) DependencyGraphProof [EQUIVALENT, 0 ms]
11.09/3.71	(6) QDP
11.09/3.71	(7) QDPOrderProof [EQUIVALENT, 6 ms]
11.09/3.71	(8) QDP
11.09/3.71	(9) PisEmptyProof [EQUIVALENT, 0 ms]
11.09/3.71	(10) YES
11.09/3.71	
11.09/3.71	
11.09/3.71	----------------------------------------
11.09/3.71	
11.09/3.71	(0)
11.09/3.71	Obligation:
11.09/3.71	Q restricted rewrite system:
11.09/3.71	The TRS R consists of the following rules:
11.09/3.71	
11.09/3.71	   b(b(a(a(x1)))) -> a(b(a(a(x1))))
11.09/3.71	   b(a(a(a(x1)))) -> a(a(b(a(x1))))
11.09/3.71	   a(a(a(a(x1)))) -> b(a(b(a(x1))))
11.09/3.71	
11.09/3.71	Q is empty.
11.09/3.71	
11.09/3.71	----------------------------------------
11.09/3.71	
11.09/3.71	(1) QTRS Reverse (EQUIVALENT)
11.09/3.71	We applied the QTRS Reverse Processor [REVERSE].
11.09/3.71	----------------------------------------
11.09/3.71	
11.09/3.71	(2)
11.09/3.71	Obligation:
11.09/3.71	Q restricted rewrite system:
11.09/3.71	The TRS R consists of the following rules:
11.09/3.71	
11.09/3.71	   a(a(b(b(x1)))) -> a(a(b(a(x1))))
11.09/3.71	   a(a(a(b(x1)))) -> a(b(a(a(x1))))
11.09/3.71	   a(a(a(a(x1)))) -> a(b(a(b(x1))))
11.09/3.71	
11.09/3.71	Q is empty.
11.09/3.71	
11.09/3.71	----------------------------------------
11.09/3.71	
11.09/3.71	(3) DependencyPairsProof (EQUIVALENT)
11.09/3.71	Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem.
11.09/3.71	----------------------------------------
11.09/3.71	
11.09/3.71	(4)
11.09/3.71	Obligation:
11.09/3.71	Q DP problem:
11.09/3.71	The TRS P consists of the following rules:
11.09/3.71	
11.09/3.71	   A(a(b(b(x1)))) -> A(a(b(a(x1))))
11.09/3.71	   A(a(b(b(x1)))) -> A(b(a(x1)))
11.09/3.71	   A(a(b(b(x1)))) -> A(x1)
11.09/3.71	   A(a(a(b(x1)))) -> A(b(a(a(x1))))
11.09/3.71	   A(a(a(b(x1)))) -> A(a(x1))
11.09/3.71	   A(a(a(b(x1)))) -> A(x1)
11.09/3.71	   A(a(a(a(x1)))) -> A(b(a(b(x1))))
11.09/3.71	   A(a(a(a(x1)))) -> A(b(x1))
11.09/3.71	
11.09/3.71	The TRS R consists of the following rules:
11.09/3.71	
11.09/3.71	   a(a(b(b(x1)))) -> a(a(b(a(x1))))
11.09/3.71	   a(a(a(b(x1)))) -> a(b(a(a(x1))))
11.09/3.71	   a(a(a(a(x1)))) -> a(b(a(b(x1))))
11.09/3.71	
11.09/3.71	Q is empty.
11.09/3.71	We have to consider all minimal (P,Q,R)-chains.
11.09/3.71	----------------------------------------
11.09/3.71	
11.09/3.71	(5) DependencyGraphProof (EQUIVALENT)
11.09/3.71	The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 5 less nodes.
11.09/3.71	----------------------------------------
11.09/3.71	
11.09/3.71	(6)
11.09/3.71	Obligation:
11.09/3.71	Q DP problem:
11.09/3.71	The TRS P consists of the following rules:
11.09/3.71	
11.09/3.71	   A(a(a(b(x1)))) -> A(a(x1))
11.09/3.71	   A(a(b(b(x1)))) -> A(x1)
11.09/3.71	   A(a(a(b(x1)))) -> A(x1)
11.09/3.71	
11.09/3.71	The TRS R consists of the following rules:
11.09/3.71	
11.09/3.71	   a(a(b(b(x1)))) -> a(a(b(a(x1))))
11.09/3.71	   a(a(a(b(x1)))) -> a(b(a(a(x1))))
11.09/3.71	   a(a(a(a(x1)))) -> a(b(a(b(x1))))
11.09/3.71	
11.09/3.71	Q is empty.

popout

output may be truncated. 'popout' for the full output.

job log

popout

actions all output return to SRS_Standard 2019-03-29 03.29