SRS Standard pair #516974328

details

property	value
status	complete
benchmark	size-12-alpha-3-num-541.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n032.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.176000118256 seconds
cpu usage	0.077617258
max memory	3801088.0

stage attributes

key	value
output-size	2125
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

Problem 1: 

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

Problem 1: 

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

Problem 1: 

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

Problem 1: 

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

Problem 1: 

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

Problem 1: 

Subterm Processor:
-> Pairs:
 A(c(x1:S)) -> A(x1:S)

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