TRS Stand 20472 pair #381713924

details

property	value
status	complete
benchmark	2.50.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n109.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.0147578716278 seconds
cpu usage	0.011246299
max memory	1372160.0

stage attributes

key	value
output-size	1117
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 x)
(RULES
a(b(x)) -> b(b(a(x)))
)

Problem 1: 

Innermost Equivalent Processor:
-> Rules:
 a(b(x)) -> b(b(a(x)))
-> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination.
 

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 A(b(x)) -> A(x)
-> Rules:
 a(b(x)) -> b(b(a(x)))

Problem 1: 

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

Problem 1: 

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

Problem 1: 

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

The problem is finite.

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