SRS Standard pair #487091622

details

property	value
status	complete
benchmark	z088.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	95.7428 seconds
cpu usage	95.4909
user time	84.6303
system time	10.8606
max virtual memory	784668.0
max residence set size	70864.0

stage attributes

key	value
starexec-result	YES

output

YES

Problem 1: 

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

Problem 1: 

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

Problem 1: 

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

Problem 1: 

Narrowing Processor:
-> Pairs:
 A(a(x1:S)) -> A(b(b(b(x1:S))))
 A(b(b(c(x1:S)))) -> A(a(a(b(x1:S))))
 A(b(b(c(x1:S)))) -> A(a(b(x1:S)))
 A(b(b(c(x1:S)))) -> A(b(x1:S))
-> Rules:
 a(a(x1:S)) -> a(b(b(b(x1:S))))
 a(b(b(c(x1:S)))) -> a(a(a(b(x1:S))))
 b(a(x1:S)) -> b(b(c(x1:S)))
->Narrowed Pairs:
->->Original Pair:
 A(a(x1:S)) -> A(b(b(b(x1:S))))
->-> Narrowed pairs:
 A(a(a(x1:S))) -> A(b(b(b(b(c(x1:S))))))

Problem 1: 

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

Problem 1: 

Reduction Pair Processor:

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job log

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