SRS Standard pair #487091310

details

property	value
status	complete
benchmark	z102.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n145.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	2.06998 seconds
cpu usage	1.84823
user time	1.30814
system time	0.540086
max virtual memory	708392.0
max residence set size	6244.0

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

Problem 1: 

SCC Processor:

popout

output may be truncated. 'popout' for the full output.

job log

popout

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