SRS_Standard 2019-03-29 03.29 pair #432289432

details

property	value
status	complete
benchmark	07.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n086.star.cs.uiowa.edu
space	Bouchare_06

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	3.22284 seconds
cpu usage	3.20685
user time	3.02386
system time	0.182983
max virtual memory	724172.0
max residence set size	20328.0

stage attributes

key	value
starexec-result	YES

output

3.14/3.22	YES
3.14/3.22	
3.14/3.22	Problem 1: 
3.14/3.22	
3.14/3.22	(VAR v_NonEmpty:S x1:S)
3.14/3.22	(RULES
3.14/3.22	a(a(a(x1:S))) -> a(b(b(x1:S)))
3.14/3.22	b(a(b(x1:S))) -> b(a(a(x1:S)))
3.14/3.22	b(a(x1:S)) -> b(b(x1:S))
3.14/3.22	)
3.14/3.22	
3.14/3.22	Problem 1: 
3.14/3.22	
3.14/3.22	Dependency Pairs Processor:
3.14/3.22	-> Pairs:
3.14/3.22	 A(a(a(x1:S))) -> A(b(b(x1:S)))
3.14/3.22	 A(a(a(x1:S))) -> B(b(x1:S))
3.14/3.22	 A(a(a(x1:S))) -> B(x1:S)
3.14/3.22	 B(a(b(x1:S))) -> A(a(x1:S))
3.14/3.22	 B(a(b(x1:S))) -> A(x1:S)
3.14/3.22	 B(a(b(x1:S))) -> B(a(a(x1:S)))
3.14/3.22	 B(a(x1:S)) -> B(b(x1:S))
3.14/3.22	 B(a(x1:S)) -> B(x1:S)
3.14/3.22	-> Rules:
3.14/3.22	 a(a(a(x1:S))) -> a(b(b(x1:S)))
3.14/3.22	 b(a(b(x1:S))) -> b(a(a(x1:S)))
3.14/3.22	 b(a(x1:S)) -> b(b(x1:S))
3.14/3.22	
3.14/3.22	Problem 1: 
3.14/3.22	
3.14/3.22	SCC Processor:
3.14/3.22	-> Pairs:
3.14/3.22	 A(a(a(x1:S))) -> A(b(b(x1:S)))
3.14/3.22	 A(a(a(x1:S))) -> B(b(x1:S))
3.14/3.22	 A(a(a(x1:S))) -> B(x1:S)
3.14/3.22	 B(a(b(x1:S))) -> A(a(x1:S))
3.14/3.22	 B(a(b(x1:S))) -> A(x1:S)
3.14/3.22	 B(a(b(x1:S))) -> B(a(a(x1:S)))
3.14/3.22	 B(a(x1:S)) -> B(b(x1:S))
3.14/3.22	 B(a(x1:S)) -> B(x1:S)
3.14/3.22	-> Rules:
3.14/3.22	 a(a(a(x1:S))) -> a(b(b(x1:S)))
3.14/3.22	 b(a(b(x1:S))) -> b(a(a(x1:S)))
3.14/3.22	 b(a(x1:S)) -> b(b(x1:S))
3.14/3.22	->Strongly Connected Components:
3.14/3.22	->->Cycle:
3.14/3.22	->->-> Pairs:
3.14/3.22	 A(a(a(x1:S))) -> A(b(b(x1:S)))
3.14/3.22	 A(a(a(x1:S))) -> B(b(x1:S))
3.14/3.22	 A(a(a(x1:S))) -> B(x1:S)
3.14/3.22	 B(a(b(x1:S))) -> A(a(x1:S))
3.14/3.22	 B(a(b(x1:S))) -> A(x1:S)
3.14/3.22	 B(a(b(x1:S))) -> B(a(a(x1:S)))
3.14/3.22	 B(a(x1:S)) -> B(b(x1:S))
3.14/3.22	 B(a(x1:S)) -> B(x1:S)
3.14/3.22	->->-> Rules:
3.14/3.22	 a(a(a(x1:S))) -> a(b(b(x1:S)))
3.14/3.22	 b(a(b(x1:S))) -> b(a(a(x1:S)))
3.14/3.22	 b(a(x1:S)) -> b(b(x1:S))
3.14/3.22	
3.14/3.22	Problem 1: 
3.14/3.22	
3.14/3.22	Reduction Pair Processor:
3.14/3.22	-> Pairs:
3.14/3.22	 A(a(a(x1:S))) -> A(b(b(x1:S)))
3.14/3.22	 A(a(a(x1:S))) -> B(b(x1:S))
3.14/3.22	 A(a(a(x1:S))) -> B(x1:S)
3.14/3.22	 B(a(b(x1:S))) -> A(a(x1:S))
3.14/3.22	 B(a(b(x1:S))) -> A(x1:S)
3.14/3.22	 B(a(b(x1:S))) -> B(a(a(x1:S)))
3.14/3.22	 B(a(x1:S)) -> B(b(x1:S))
3.14/3.22	 B(a(x1:S)) -> B(x1:S)
3.14/3.22	-> Rules:
3.14/3.22	 a(a(a(x1:S))) -> a(b(b(x1:S)))
3.14/3.22	 b(a(b(x1:S))) -> b(a(a(x1:S)))
3.14/3.22	 b(a(x1:S)) -> b(b(x1:S))
3.14/3.22	-> Usable rules:
3.14/3.22	 a(a(a(x1:S))) -> a(b(b(x1:S)))
3.14/3.22	 b(a(b(x1:S))) -> b(a(a(x1:S)))
3.14/3.22	 b(a(x1:S)) -> b(b(x1:S))
3.14/3.22	->Interpretation type:
3.14/3.22	 Linear
3.14/3.22	->Coefficients:
3.14/3.22	 Natural Numbers
3.14/3.22	->Dimension:
3.14/3.22	 1
3.14/3.22	->Bound:
3.14/3.22	 2
3.14/3.22	->Interpretation:
3.14/3.22	 
3.14/3.22	[a](X) = X + 2
3.14/3.22	[b](X) = X + 2
3.14/3.22	[A](X) = 2.X + 2
3.14/3.22	[B](X) = 2.X
3.14/3.22	
3.14/3.22	Problem 1: 
3.14/3.22	
3.14/3.22	SCC Processor:
3.14/3.22	-> Pairs:
3.14/3.22	 A(a(a(x1:S))) -> A(b(b(x1:S)))

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