SRS Standard pair #487084848

details

property	value
status	complete
benchmark	size-12-alpha-3-num-360.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n151.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	26.6079 seconds
cpu usage	25.6903
user time	19.8468
system time	5.84353
max virtual memory	749116.0
max residence set size	42100.0

stage attributes

key	value
starexec-result	YES

output

YES

Problem 1: 

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

Problem 1: 

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

Problem 1: 

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

Problem 1: 

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

Problem 1: 

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

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