SRS_Standard 2019-03-29 03.29 pair #432289240

details

property	value
status	complete
benchmark	3.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n121.star.cs.uiowa.edu
space	Mixed_SRS

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.089485 seconds
cpu usage	0.079271
user time	0.051201
system time	0.02807
max virtual memory	113132.0
max residence set size	5404.0

stage attributes

key	value
starexec-result	YES

output

0.00/0.08	YES
0.00/0.08	
0.00/0.08	Problem 1: 
0.00/0.08	
0.00/0.08	(VAR v_NonEmpty:S x1:S)
0.00/0.08	(RULES
0.00/0.08	a(a(x1:S)) -> a(b(a(x1:S)))
0.00/0.08	b(a(b(x1:S))) -> a(c(a(x1:S)))
0.00/0.08	)
0.00/0.08	
0.00/0.08	Problem 1: 
0.00/0.08	
0.00/0.08	Dependency Pairs Processor:
0.00/0.08	-> Pairs:
0.00/0.08	 A(a(x1:S)) -> A(b(a(x1:S)))
0.00/0.08	 A(a(x1:S)) -> B(a(x1:S))
0.00/0.08	 B(a(b(x1:S))) -> A(c(a(x1:S)))
0.00/0.08	 B(a(b(x1:S))) -> A(x1:S)
0.00/0.08	-> Rules:
0.00/0.08	 a(a(x1:S)) -> a(b(a(x1:S)))
0.00/0.08	 b(a(b(x1:S))) -> a(c(a(x1:S)))
0.00/0.08	
0.00/0.08	Problem 1: 
0.00/0.08	
0.00/0.08	SCC Processor:
0.00/0.08	-> Pairs:
0.00/0.08	 A(a(x1:S)) -> A(b(a(x1:S)))
0.00/0.08	 A(a(x1:S)) -> B(a(x1:S))
0.00/0.08	 B(a(b(x1:S))) -> A(c(a(x1:S)))
0.00/0.08	 B(a(b(x1:S))) -> A(x1:S)
0.00/0.08	-> Rules:
0.00/0.08	 a(a(x1:S)) -> a(b(a(x1:S)))
0.00/0.08	 b(a(b(x1:S))) -> a(c(a(x1:S)))
0.00/0.08	->Strongly Connected Components:
0.00/0.08	->->Cycle:
0.00/0.08	->->-> Pairs:
0.00/0.08	 A(a(x1:S)) -> A(b(a(x1:S)))
0.00/0.08	 A(a(x1:S)) -> B(a(x1:S))
0.00/0.08	 B(a(b(x1:S))) -> A(x1:S)
0.00/0.08	->->-> Rules:
0.00/0.08	 a(a(x1:S)) -> a(b(a(x1:S)))
0.00/0.08	 b(a(b(x1:S))) -> a(c(a(x1:S)))
0.00/0.08	
0.00/0.08	Problem 1: 
0.00/0.08	
0.00/0.08	Reduction Pair Processor:
0.00/0.08	-> Pairs:
0.00/0.08	 A(a(x1:S)) -> A(b(a(x1:S)))
0.00/0.08	 A(a(x1:S)) -> B(a(x1:S))
0.00/0.08	 B(a(b(x1:S))) -> A(x1:S)
0.00/0.08	-> Rules:
0.00/0.08	 a(a(x1:S)) -> a(b(a(x1:S)))
0.00/0.08	 b(a(b(x1:S))) -> a(c(a(x1:S)))
0.00/0.08	-> Usable rules:
0.00/0.08	 a(a(x1:S)) -> a(b(a(x1:S)))
0.00/0.08	 b(a(b(x1:S))) -> a(c(a(x1:S)))
0.00/0.08	->Interpretation type:
0.00/0.08	 Linear
0.00/0.08	->Coefficients:
0.00/0.08	 Natural Numbers
0.00/0.08	->Dimension:
0.00/0.08	 1
0.00/0.08	->Bound:
0.00/0.08	 2
0.00/0.08	->Interpretation:
0.00/0.08	 
0.00/0.08	[a](X) = 2.X + 2
0.00/0.08	[b](X) = X
0.00/0.08	[c](X) = 0
0.00/0.08	[A](X) = 2.X + 2
0.00/0.08	[B](X) = 2.X
0.00/0.08	
0.00/0.08	Problem 1: 
0.00/0.08	
0.00/0.08	SCC Processor:
0.00/0.08	-> Pairs:
0.00/0.08	 A(a(x1:S)) -> A(b(a(x1:S)))
0.00/0.08	 B(a(b(x1:S))) -> A(x1:S)
0.00/0.08	-> Rules:
0.00/0.08	 a(a(x1:S)) -> a(b(a(x1:S)))
0.00/0.08	 b(a(b(x1:S))) -> a(c(a(x1:S)))
0.00/0.08	->Strongly Connected Components:
0.00/0.08	->->Cycle:
0.00/0.08	->->-> Pairs:
0.00/0.08	 A(a(x1:S)) -> A(b(a(x1:S)))
0.00/0.08	->->-> Rules:
0.00/0.08	 a(a(x1:S)) -> a(b(a(x1:S)))
0.00/0.08	 b(a(b(x1:S))) -> a(c(a(x1:S)))
0.00/0.08	
0.00/0.08	Problem 1: 
0.00/0.08	
0.00/0.08	Reduction Pair Processor:
0.00/0.08	-> Pairs:
0.00/0.08	 A(a(x1:S)) -> A(b(a(x1:S)))
0.00/0.08	-> Rules:
0.00/0.08	 a(a(x1:S)) -> a(b(a(x1:S)))
0.00/0.08	 b(a(b(x1:S))) -> a(c(a(x1:S)))
0.00/0.08	-> Usable rules:
0.00/0.08	 a(a(x1:S)) -> a(b(a(x1:S)))
0.00/0.08	 b(a(b(x1:S))) -> a(c(a(x1:S)))

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