SRS Standard pair #487091652

details

property	value
status	complete
benchmark	z019.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)	0.626189 seconds
cpu usage	0.582218
user time	0.422433
system time	0.159785
max virtual memory	709260.0
max residence set size	6140.0

stage attributes

key	value
starexec-result	YES

output

YES

Problem 1: 

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

Problem 1: 

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

Problem 1: 

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

Problem 1: 

Reduction Pair Processor:
-> Pairs:
 A(b(x1:S)) -> A(x1:S)
 A(b(x1:S)) -> B(c(a(x1:S)))
 A(b(x1:S)) -> C(a(x1:S))
 B(c(x1:S)) -> B(b(x1:S))
 B(c(x1:S)) -> B(x1:S)
 B(c(x1:S)) -> C(b(b(x1:S)))
 C(a(x1:S)) -> A(c(x1:S))
 C(a(x1:S)) -> C(x1:S)
-> Rules:
 a(b(x1:S)) -> b(c(a(x1:S)))
 b(c(x1:S)) -> c(b(b(x1:S)))
 c(a(x1:S)) -> a(c(x1:S))
-> Usable rules:
 a(b(x1:S)) -> b(c(a(x1:S)))
 b(c(x1:S)) -> c(b(b(x1:S)))
 c(a(x1:S)) -> a(c(x1:S))
->Interpretation type:
 Linear
->Coefficients:
 Natural Numbers
->Dimension:
 1
->Bound:
 2
->Interpretation:
 
[a](X) = 2.X
[b](X) = 2.X + 2
[c](X) = 0
[A](X) = 2.X
[B](X) = 0
[C](X) = 0

Problem 1: 

SCC Processor:

popout

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

job log

popout

actions all output return to SRS Standard