SRS Standard pair #487513111

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	n132.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	26.2100000381 seconds
cpu usage	25.684248312
max memory	4.9782784E7

stage attributes

key	value
output-size	11980
starexec-result	YES

output

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


--------------------------------------------------------------------------------


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:

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