TRS Standard pair #516965381

details

property	value
status	complete
benchmark	z04.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n113.star.cs.uiowa.edu
space	Zantema_05

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0891160964966 seconds
cpu usage	0.01821594
max memory	1527808.0

stage attributes

key	value
output-size	1409
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 x:S)
(RULES
a(f,a(f,x:S)) -> a(x:S,x:S)
a(h,x:S) -> a(f,a(g,a(f,x:S)))
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 A(f,a(f,x:S)) -> A(x:S,x:S)
 A(h,x:S) -> A(f,a(g,a(f,x:S)))
 A(h,x:S) -> A(f,x:S)
 A(h,x:S) -> A(g,a(f,x:S))
-> Rules:
 a(f,a(f,x:S)) -> a(x:S,x:S)
 a(h,x:S) -> a(f,a(g,a(f,x:S)))

Problem 1: 

SCC Processor:
-> Pairs:
 A(f,a(f,x:S)) -> A(x:S,x:S)
 A(h,x:S) -> A(f,a(g,a(f,x:S)))
 A(h,x:S) -> A(f,x:S)
 A(h,x:S) -> A(g,a(f,x:S))
-> Rules:
 a(f,a(f,x:S)) -> a(x:S,x:S)
 a(h,x:S) -> a(f,a(g,a(f,x:S)))
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 A(f,a(f,x:S)) -> A(x:S,x:S)
 A(h,x:S) -> A(f,x:S)
->->-> Rules:
 a(f,a(f,x:S)) -> a(x:S,x:S)
 a(h,x:S) -> a(f,a(g,a(f,x:S)))

Problem 1: 

Subterm Processor:
-> Pairs:
 A(f,a(f,x:S)) -> A(x:S,x:S)
 A(h,x:S) -> A(f,x:S)
-> Rules:
 a(f,a(f,x:S)) -> a(x:S,x:S)
 a(h,x:S) -> a(f,a(g,a(f,x:S)))
->Projection:
 pi(A) = 2

Problem 1: 

SCC Processor:
-> Pairs:
 A(h,x:S) -> A(f,x:S)
-> Rules:
 a(f,a(f,x:S)) -> a(x:S,x:S)
 a(h,x:S) -> a(f,a(g,a(f,x:S)))
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.

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