SRS Standard pair #487519393

details

property	value
status	complete
benchmark	z020.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	Zantema_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.148682117462 seconds
cpu usage	0.072248563
max memory	3452928.0

stage attributes

key	value
output-size	3735
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(x1:S)) -> b(c(a(x1:S)))
a(c(x1:S)) -> c(a(b(x1:S)))
b(c(x1:S)) -> c(b(b(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(c(x1:S)) -> A(b(x1:S))
 A(c(x1:S)) -> B(x1:S)
 B(c(x1:S)) -> B(b(x1:S))
 B(c(x1:S)) -> B(x1:S)
-> Rules:
 a(b(x1:S)) -> b(c(a(x1:S)))
 a(c(x1:S)) -> c(a(b(x1:S)))
 b(c(x1:S)) -> c(b(b(x1:S)))

Problem 1: 

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


The problem is decomposed in 2 subproblems.

Problem 1.1: 

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

Problem 1.1: 

SCC Processor:
-> Pairs:
 B(c(x1:S)) -> B(x1:S)
-> Rules:
 a(b(x1:S)) -> b(c(a(x1:S)))

popout

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

job log

popout

actions all output return to SRS Standard