SRS Standard pair #487091694

details

property	value
status	complete
benchmark	z118.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)	1.55666 seconds
cpu usage	1.41216
user time	0.965408
system time	0.446755
max virtual memory	707568.0
max residence set size	6212.0

stage attributes

key	value
starexec-result	YES

output

YES

Problem 1: 

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

Problem 1: 

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

Problem 1: 

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

Problem 1: 

Reduction Pair Processor:
-> Pairs:
 B(b(b(x1:S))) -> C(d(c(x1:S)))
 B(b(b(x1:S))) -> C(x1:S)
 B(b(x1:S)) -> G(g(x1:S))
 B(b(x1:S)) -> G(x1:S)
 C(d(x1:S)) -> G(g(x1:S))
 C(d(x1:S)) -> G(x1:S)
 G(g(g(x1:S))) -> B(b(x1:S))
 G(g(g(x1:S))) -> B(x1:S)
-> Rules:
 a(x1:S) -> g(d(x1:S))
 b(b(b(x1:S))) -> c(d(c(x1:S)))
 b(b(x1:S)) -> a(g(g(x1:S)))
 c(d(x1:S)) -> g(g(x1:S))
 g(g(g(x1:S))) -> b(b(x1:S))
-> Usable rules:
 a(x1:S) -> g(d(x1:S))
 b(b(b(x1:S))) -> c(d(c(x1:S)))
 b(b(x1:S)) -> a(g(g(x1:S)))
 c(d(x1:S)) -> g(g(x1:S))
 g(g(g(x1:S))) -> b(b(x1:S))
->Interpretation type:
 Linear
->Coefficients:
 All rationals
->Dimension:
 1

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