SRS Standard pair #487091118

details

property	value
status	complete
benchmark	z015.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n147.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.176332 seconds
cpu usage	0.16829
user time	0.091705
system time	0.076585
max virtual memory	113188.0
max residence set size	5668.0

stage attributes

key	value
starexec-result	YES

output

YES

Problem 1: 

(VAR v_NonEmpty:S x1:S)
(RULES
a(a(x1:S)) -> a(c(b(x1:S)))
a(b(x1:S)) -> b(a(a(a(x1:S))))
b(a(x1:S)) -> a(a(x1:S))
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 A(a(x1:S)) -> A(c(b(x1:S)))
 A(a(x1:S)) -> B(x1:S)
 A(b(x1:S)) -> A(a(a(x1:S)))
 A(b(x1:S)) -> A(a(x1:S))
 A(b(x1:S)) -> A(x1:S)
 A(b(x1:S)) -> B(a(a(a(x1:S))))
 B(a(x1:S)) -> A(a(x1:S))
-> Rules:
 a(a(x1:S)) -> a(c(b(x1:S)))
 a(b(x1:S)) -> b(a(a(a(x1:S))))
 b(a(x1:S)) -> a(a(x1:S))

Problem 1: 

SCC Processor:
-> Pairs:
 A(a(x1:S)) -> A(c(b(x1:S)))
 A(a(x1:S)) -> B(x1:S)
 A(b(x1:S)) -> A(a(a(x1:S)))
 A(b(x1:S)) -> A(a(x1:S))
 A(b(x1:S)) -> A(x1:S)
 A(b(x1:S)) -> B(a(a(a(x1:S))))
 B(a(x1:S)) -> A(a(x1:S))
-> Rules:
 a(a(x1:S)) -> a(c(b(x1:S)))
 a(b(x1:S)) -> b(a(a(a(x1:S))))
 b(a(x1:S)) -> a(a(x1:S))
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 A(a(x1:S)) -> B(x1:S)
 A(b(x1:S)) -> A(a(a(x1:S)))
 A(b(x1:S)) -> A(a(x1:S))
 A(b(x1:S)) -> A(x1:S)
 A(b(x1:S)) -> B(a(a(a(x1:S))))
 B(a(x1:S)) -> A(a(x1:S))
->->-> Rules:
 a(a(x1:S)) -> a(c(b(x1:S)))
 a(b(x1:S)) -> b(a(a(a(x1:S))))
 b(a(x1:S)) -> a(a(x1:S))

Problem 1: 

Reduction Pair Processor:
-> Pairs:
 A(a(x1:S)) -> B(x1:S)
 A(b(x1:S)) -> A(a(a(x1:S)))
 A(b(x1:S)) -> A(a(x1:S))
 A(b(x1:S)) -> A(x1:S)
 A(b(x1:S)) -> B(a(a(a(x1:S))))
 B(a(x1:S)) -> A(a(x1:S))
-> Rules:
 a(a(x1:S)) -> a(c(b(x1:S)))
 a(b(x1:S)) -> b(a(a(a(x1:S))))
 b(a(x1:S)) -> a(a(x1:S))
-> Usable rules:
 a(a(x1:S)) -> a(c(b(x1:S)))
 a(b(x1:S)) -> b(a(a(a(x1:S))))
 b(a(x1:S)) -> a(a(x1:S))
->Interpretation type:
 Linear
->Coefficients:
 Natural Numbers
->Dimension:
 1
->Bound:
 2
->Interpretation:
 
[a](X) = X
[b](X) = 2.X + 1
[c](X) = 0
[A](X) = 2.X
[B](X) = 2.X

Problem 1: 

SCC Processor:
-> Pairs:
 A(a(x1:S)) -> B(x1:S)
 A(b(x1:S)) -> A(a(x1:S))
 A(b(x1:S)) -> A(x1:S)
 A(b(x1:S)) -> B(a(a(a(x1:S))))
 B(a(x1:S)) -> A(a(x1:S))
-> Rules:

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job log

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