SRS Standard pair #487519753

details

property	value
status	complete
benchmark	z006.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n034.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0974538326263 seconds
cpu usage	0.017591662
max memory	1540096.0

stage attributes

key	value
output-size	1822
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(a(x1:S))
b(a(x1:S)) -> a(c(b(x1:S)))
)

Problem 1: 

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

Problem 1: 

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


The problem is decomposed in 2 subproblems.

Problem 1.1: 

Subterm Processor:
-> Pairs:
 B(a(x1:S)) -> B(x1:S)
-> Rules:
 a(b(x1:S)) -> b(a(x1:S))
 b(a(x1:S)) -> a(c(b(x1:S)))
->Projection:
 pi(B) = 1

Problem 1.1: 

SCC Processor:
-> Pairs:
 Empty
-> Rules:
 a(b(x1:S)) -> b(a(x1:S))
 b(a(x1:S)) -> a(c(b(x1:S)))
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.

Problem 1.2: 

Subterm Processor:
-> Pairs:
 A(b(x1:S)) -> A(x1:S)
-> Rules:
 a(b(x1:S)) -> b(a(x1:S))
 b(a(x1:S)) -> a(c(b(x1:S)))
->Projection:
 pi(A) = 1

Problem 1.2: 

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

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