SRS Standard pair #487091616

details

property	value
status	complete
benchmark	z101.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n144.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	1.02859 seconds
cpu usage	0.810909
user time	0.523904
system time	0.287005
max virtual memory	452896.0
max residence set size	5884.0

stage attributes

key	value
starexec-result	YES

output

YES

Problem 1: 

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

Problem 1: 

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

Problem 1: 

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

Problem 1: 

Reduction Pair Processor:
-> Pairs:
 A(a(x1:S)) -> B(b(b(x1:S)))
 A(a(x1:S)) -> B(b(x1:S))
 A(a(x1:S)) -> B(x1:S)
 B(b(b(b(b(x1:S))))) -> A(a(a(x1:S)))
 B(b(b(b(b(x1:S))))) -> A(a(x1:S))
 B(b(b(b(b(x1:S))))) -> A(x1:S)
-> Rules:
 a(a(x1:S)) -> b(b(b(x1:S)))
 b(b(b(b(b(x1:S))))) -> a(a(a(x1:S)))
-> Usable rules:
 a(a(x1:S)) -> b(b(b(x1:S)))
 b(b(b(b(b(x1:S))))) -> a(a(a(x1:S)))
->Interpretation type:
 Linear
->Coefficients:
 All rationals
->Dimension:
 1
->Bound:
 4
->Interpretation:
 
[a](X) = 3.X + 1/2
[b](X) = 2.X + 1/4
[A](X) = 3.X + 2
[B](X) = 2.X + 4/3

Problem 1: 

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

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