SRS_Standard 2019-03-29 03.29 pair #432292012

details

property	value
status	complete
benchmark	z019.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_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.590084 seconds
cpu usage	0.576926
user time	0.406862
system time	0.170064
max virtual memory	706796.0
max residence set size	6164.0

stage attributes

key	value
starexec-result	YES

output

0.51/0.58	YES
0.51/0.58	
0.51/0.58	Problem 1: 
0.51/0.58	
0.51/0.58	(VAR v_NonEmpty:S x1:S)
0.51/0.58	(RULES
0.51/0.58	a(b(x1:S)) -> b(c(a(x1:S)))
0.51/0.58	b(c(x1:S)) -> c(b(b(x1:S)))
0.51/0.58	c(a(x1:S)) -> a(c(x1:S))
0.51/0.58	)
0.51/0.58	
0.51/0.58	Problem 1: 
0.51/0.58	
0.51/0.58	Dependency Pairs Processor:
0.51/0.58	-> Pairs:
0.51/0.58	 A(b(x1:S)) -> A(x1:S)
0.51/0.58	 A(b(x1:S)) -> B(c(a(x1:S)))
0.51/0.58	 A(b(x1:S)) -> C(a(x1:S))
0.51/0.58	 B(c(x1:S)) -> B(b(x1:S))
0.51/0.58	 B(c(x1:S)) -> B(x1:S)
0.51/0.58	 B(c(x1:S)) -> C(b(b(x1:S)))
0.51/0.58	 C(a(x1:S)) -> A(c(x1:S))
0.51/0.58	 C(a(x1:S)) -> C(x1:S)
0.51/0.58	-> Rules:
0.51/0.58	 a(b(x1:S)) -> b(c(a(x1:S)))
0.51/0.58	 b(c(x1:S)) -> c(b(b(x1:S)))
0.51/0.58	 c(a(x1:S)) -> a(c(x1:S))
0.51/0.58	
0.51/0.58	Problem 1: 
0.51/0.58	
0.51/0.58	SCC Processor:
0.51/0.58	-> Pairs:
0.51/0.58	 A(b(x1:S)) -> A(x1:S)
0.51/0.58	 A(b(x1:S)) -> B(c(a(x1:S)))
0.51/0.58	 A(b(x1:S)) -> C(a(x1:S))
0.51/0.58	 B(c(x1:S)) -> B(b(x1:S))
0.51/0.58	 B(c(x1:S)) -> B(x1:S)
0.51/0.58	 B(c(x1:S)) -> C(b(b(x1:S)))
0.51/0.58	 C(a(x1:S)) -> A(c(x1:S))
0.51/0.58	 C(a(x1:S)) -> C(x1:S)
0.51/0.58	-> Rules:
0.51/0.58	 a(b(x1:S)) -> b(c(a(x1:S)))
0.51/0.58	 b(c(x1:S)) -> c(b(b(x1:S)))
0.51/0.58	 c(a(x1:S)) -> a(c(x1:S))
0.51/0.58	->Strongly Connected Components:
0.51/0.58	->->Cycle:
0.51/0.58	->->-> Pairs:
0.51/0.58	 A(b(x1:S)) -> A(x1:S)
0.51/0.58	 A(b(x1:S)) -> B(c(a(x1:S)))
0.51/0.58	 A(b(x1:S)) -> C(a(x1:S))
0.51/0.58	 B(c(x1:S)) -> B(b(x1:S))
0.51/0.58	 B(c(x1:S)) -> B(x1:S)
0.51/0.58	 B(c(x1:S)) -> C(b(b(x1:S)))
0.51/0.58	 C(a(x1:S)) -> A(c(x1:S))
0.51/0.58	 C(a(x1:S)) -> C(x1:S)
0.51/0.58	->->-> Rules:
0.51/0.58	 a(b(x1:S)) -> b(c(a(x1:S)))
0.51/0.58	 b(c(x1:S)) -> c(b(b(x1:S)))
0.51/0.58	 c(a(x1:S)) -> a(c(x1:S))
0.51/0.58	
0.51/0.58	Problem 1: 
0.51/0.58	
0.51/0.58	Reduction Pair Processor:
0.51/0.58	-> Pairs:
0.51/0.58	 A(b(x1:S)) -> A(x1:S)
0.51/0.58	 A(b(x1:S)) -> B(c(a(x1:S)))
0.51/0.58	 A(b(x1:S)) -> C(a(x1:S))
0.51/0.58	 B(c(x1:S)) -> B(b(x1:S))
0.51/0.58	 B(c(x1:S)) -> B(x1:S)
0.51/0.58	 B(c(x1:S)) -> C(b(b(x1:S)))
0.51/0.58	 C(a(x1:S)) -> A(c(x1:S))
0.51/0.58	 C(a(x1:S)) -> C(x1:S)
0.51/0.58	-> Rules:
0.51/0.58	 a(b(x1:S)) -> b(c(a(x1:S)))
0.51/0.58	 b(c(x1:S)) -> c(b(b(x1:S)))
0.51/0.58	 c(a(x1:S)) -> a(c(x1:S))
0.51/0.58	-> Usable rules:
0.51/0.58	 a(b(x1:S)) -> b(c(a(x1:S)))
0.51/0.58	 b(c(x1:S)) -> c(b(b(x1:S)))
0.51/0.58	 c(a(x1:S)) -> a(c(x1:S))
0.51/0.58	->Interpretation type:
0.51/0.58	 Linear
0.51/0.58	->Coefficients:
0.51/0.58	 Natural Numbers
0.51/0.58	->Dimension:
0.51/0.58	 1
0.51/0.58	->Bound:
0.51/0.58	 2
0.51/0.58	->Interpretation:
0.51/0.58	 
0.51/0.58	[a](X) = 2.X
0.51/0.58	[b](X) = 2.X + 2
0.51/0.58	[c](X) = 0
0.51/0.58	[A](X) = 2.X
0.51/0.58	[B](X) = 0
0.51/0.58	[C](X) = 0
0.51/0.58	
0.51/0.58	Problem 1: 
0.51/0.58	
0.51/0.58	SCC Processor:

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