details

property	value
status	complete
benchmark	002.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n072.star.cs.uiowa.edu
space	AotoYamada_05

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0223391 seconds
cpu usage	0.022573
user time	0.008107
system time	0.014466
max virtual memory	113188.0
max residence set size	5436.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S f:S y:S ys:S) (RULES app(app(app(filtersub,ffalse),f:S),app(app(cons,y:S),ys:S)) -> app(app(filter,f:S),ys:S) app(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> app(app(cons,y:S),app(app(filter,f:S),ys:S)) app(app(filter,f:S),app(app(cons,y:S),ys:S)) -> app(app(app(filtersub,app(f:S,y:S)),f:S),app(app(cons,y:S),ys:S)) app(app(filter,f:S),nil) -> nil ) Problem 1: Innermost Equivalent Processor: -> Rules: app(app(app(filtersub,ffalse),f:S),app(app(cons,y:S),ys:S)) -> app(app(filter,f:S),ys:S) app(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> app(app(cons,y:S),app(app(filter,f:S),ys:S)) app(app(filter,f:S),app(app(cons,y:S),ys:S)) -> app(app(app(filtersub,app(f:S,y:S)),f:S),app(app(cons,y:S),ys:S)) app(app(filter,f:S),nil) -> nil -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: APP(app(app(filtersub,ffalse),f:S),app(app(cons,y:S),ys:S)) -> APP(app(filter,f:S),ys:S) APP(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> APP(app(cons,y:S),app(app(filter,f:S),ys:S)) APP(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> APP(app(filter,f:S),ys:S) APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(app(app(filtersub,app(f:S,y:S)),f:S),app(app(cons,y:S),ys:S)) APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(app(filtersub,app(f:S,y:S)),f:S) APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(filtersub,app(f:S,y:S)) APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(f:S,y:S) -> Rules: app(app(app(filtersub,ffalse),f:S),app(app(cons,y:S),ys:S)) -> app(app(filter,f:S),ys:S) app(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> app(app(cons,y:S),app(app(filter,f:S),ys:S)) app(app(filter,f:S),app(app(cons,y:S),ys:S)) -> app(app(app(filtersub,app(f:S,y:S)),f:S),app(app(cons,y:S),ys:S)) app(app(filter,f:S),nil) -> nil Problem 1: SCC Processor: -> Pairs: APP(app(app(filtersub,ffalse),f:S),app(app(cons,y:S),ys:S)) -> APP(app(filter,f:S),ys:S) APP(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> APP(app(cons,y:S),app(app(filter,f:S),ys:S)) APP(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> APP(app(filter,f:S),ys:S) APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(app(app(filtersub,app(f:S,y:S)),f:S),app(app(cons,y:S),ys:S)) APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(app(filtersub,app(f:S,y:S)),f:S) APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(filtersub,app(f:S,y:S)) APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(f:S,y:S) -> Rules: app(app(app(filtersub,ffalse),f:S),app(app(cons,y:S),ys:S)) -> app(app(filter,f:S),ys:S) app(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> app(app(cons,y:S),app(app(filter,f:S),ys:S)) app(app(filter,f:S),app(app(cons,y:S),ys:S)) -> app(app(app(filtersub,app(f:S,y:S)),f:S),app(app(cons,y:S),ys:S)) app(app(filter,f:S),nil) -> nil ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: APP(app(app(filtersub,ffalse),f:S),app(app(cons,y:S),ys:S)) -> APP(app(filter,f:S),ys:S) APP(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> APP(app(filter,f:S),ys:S) APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(app(app(filtersub,app(f:S,y:S)),f:S),app(app(cons,y:S),ys:S)) APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(f:S,y:S) ->->-> Rules: app(app(app(filtersub,ffalse),f:S),app(app(cons,y:S),ys:S)) -> app(app(filter,f:S),ys:S) app(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> app(app(cons,y:S),app(app(filter,f:S),ys:S)) app(app(filter,f:S),app(app(cons,y:S),ys:S)) -> app(app(app(filtersub,app(f:S,y:S)),f:S),app(app(cons,y:S),ys:S)) app(app(filter,f:S),nil) -> nil Problem 1: Subterm Processor: -> Pairs: APP(app(app(filtersub,ffalse),f:S),app(app(cons,y:S),ys:S)) -> APP(app(filter,f:S),ys:S) APP(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> APP(app(filter,f:S),ys:S) APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(app(app(filtersub,app(f:S,y:S)),f:S),app(app(cons,y:S),ys:S)) APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(f:S,y:S) -> Rules: app(app(app(filtersub,ffalse),f:S),app(app(cons,y:S),ys:S)) -> app(app(filter,f:S),ys:S) app(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> app(app(cons,y:S),app(app(filter,f:S),ys:S)) app(app(filter,f:S),app(app(cons,y:S),ys:S)) -> app(app(app(filtersub,app(f:S,y:S)),f:S),app(app(cons,y:S),ys:S)) app(app(filter,f:S),nil) -> nil ->Projection: pi(APP) = 2 Problem 1: SCC Processor: -> Pairs: APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(app(app(filtersub,app(f:S,y:S)),f:S),app(app(cons,y:S),ys:S)) -> Rules: app(app(app(filtersub,ffalse),f:S),app(app(cons,y:S),ys:S)) -> app(app(filter,f:S),ys:S) app(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> app(app(cons,y:S),app(app(filter,f:S),ys:S)) app(app(filter,f:S),app(app(cons,y:S),ys:S)) -> app(app(app(filtersub,app(f:S,y:S)),f:S),app(app(cons,y:S),ys:S)) app(app(filter,f:S),nil) -> nil ->Strongly Connected Components: There is no strongly connected component The problem is finite. popout

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

job log

popout

actions

all output return to TRS Standard