SRS Standard pair #487084332

details

property	value
status	complete
benchmark	size-12-alpha-3-num-4.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n140.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	81.3598 seconds
cpu usage	81.1396
user time	69.0355
system time	12.1041
max virtual memory	696604.0
max residence set size	6528.0

stage attributes

key	value
starexec-result	YES

output

YES

Problem 1: 

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

Problem 1: 

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

Problem 1: 

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

Problem 1: 

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

Problem 1: 

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

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