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	n144.star.cs.uiowa.edu
space	Maude_06

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.014673 seconds
cpu usage	0.015178
user time	0.003428
system time	0.01175
max virtual memory	113188.0
max residence set size	3664.0

stage attributes

key	value
starexec-result	YES

output

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

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job log

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actions

all output return to TRS Contextsensitive