TRS Context Sensitive pair #516978936

details

property	value
status	complete
benchmark	MYNAT_nosorts-peanoSimple.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n060.star.cs.uiowa.edu
space	Maude_06

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.0804870128632 seconds
cpu usage	0.01671816
max memory	1515520.0

stage attributes

key	value
output-size	1613
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 M N X)
(STRATEGY CONTEXTSENSITIVE
(and 1)
(plus 1 2)
(0)
(s 1)
(tt)
)
(RULES
and(tt,X) -> X
plus(N,0) -> N
plus(N,s(M)) -> s(plus(N,M))
)

Problem 1: 

Innermost Equivalent Processor:
-> Rules:
 and(tt,X) -> X
 plus(N,0) -> N
 plus(N,s(M)) -> s(plus(N,M))
-> The context-sensitive term rewriting system is an orthogonal system. Therefore, innermost cs-termination implies cs-termination.
 

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 AND(tt,X) -> X
 PLUS(N,s(M)) -> PLUS(N,M)
-> Rules:
 and(tt,X) -> X
 plus(N,0) -> N
 plus(N,s(M)) -> s(plus(N,M))
-> Unhiding Rules:
 Empty

Problem 1: 

SCC Processor:
-> Pairs:
 AND(tt,X) -> X
 PLUS(N,s(M)) -> PLUS(N,M)
-> Rules:
 and(tt,X) -> X
 plus(N,0) -> N
 plus(N,s(M)) -> s(plus(N,M))
-> Unhiding rules:
 Empty
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 PLUS(N,s(M)) -> PLUS(N,M)
->->-> Rules:
 and(tt,X) -> X
 plus(N,0) -> N
 plus(N,s(M)) -> s(plus(N,M))
->->-> Unhiding rules:
 Empty

Problem 1: 

SubNColl Processor:
-> Pairs:
 PLUS(N,s(M)) -> PLUS(N,M)
-> Rules:
 and(tt,X) -> X
 plus(N,0) -> N
 plus(N,s(M)) -> s(plus(N,M))
-> Unhiding rules:
 Empty
->Projection:
 pi(PLUS) = 2

Problem 1: 

Basic Processor:
-> Pairs:
 Empty
-> Rules:
 and(tt,X) -> X
 plus(N,0) -> N
 plus(N,s(M)) -> s(plus(N,M))
-> Unhiding rules:
 Empty
-> Result:
 Set P is empty

The problem is finite.

popout

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

job log

popout

actions all output return to TRS Context Sensitive