details

property	value
status	complete
benchmark	Ex4MapList.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n071.star.cs.uiowa.edu
space	Applicative_05

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.25066 seconds
cpu usage	0.210127
user time	0.119766
system time	0.090361
max virtual memory	113188.0
max residence set size	5696.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S f:S t:S x:S) (RULES app(app(fmap,app(app(fcons,f:S),t:S)),x:S) -> app(app(cons,app(f:S,x:S)),app(app(fmap,t:S),x:S)) app(app(fmap,fnil),x:S) -> nil ) Problem 1: Innermost Equivalent Processor: -> Rules: app(app(fmap,app(app(fcons,f:S),t:S)),x:S) -> app(app(cons,app(f:S,x:S)),app(app(fmap,t:S),x:S)) app(app(fmap,fnil),x:S) -> 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(fmap,app(app(fcons,f:S),t:S)),x:S) -> APP(app(cons,app(f:S,x:S)),app(app(fmap,t:S),x:S)) APP(app(fmap,app(app(fcons,f:S),t:S)),x:S) -> APP(app(fmap,t:S),x:S) APP(app(fmap,app(app(fcons,f:S),t:S)),x:S) -> APP(cons,app(f:S,x:S)) APP(app(fmap,app(app(fcons,f:S),t:S)),x:S) -> APP(f:S,x:S) -> Rules: app(app(fmap,app(app(fcons,f:S),t:S)),x:S) -> app(app(cons,app(f:S,x:S)),app(app(fmap,t:S),x:S)) app(app(fmap,fnil),x:S) -> nil Problem 1: SCC Processor: -> Pairs: APP(app(fmap,app(app(fcons,f:S),t:S)),x:S) -> APP(app(cons,app(f:S,x:S)),app(app(fmap,t:S),x:S)) APP(app(fmap,app(app(fcons,f:S),t:S)),x:S) -> APP(app(fmap,t:S),x:S) APP(app(fmap,app(app(fcons,f:S),t:S)),x:S) -> APP(cons,app(f:S,x:S)) APP(app(fmap,app(app(fcons,f:S),t:S)),x:S) -> APP(f:S,x:S) -> Rules: app(app(fmap,app(app(fcons,f:S),t:S)),x:S) -> app(app(cons,app(f:S,x:S)),app(app(fmap,t:S),x:S)) app(app(fmap,fnil),x:S) -> nil ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: APP(app(fmap,app(app(fcons,f:S),t:S)),x:S) -> APP(app(fmap,t:S),x:S) APP(app(fmap,app(app(fcons,f:S),t:S)),x:S) -> APP(f:S,x:S) ->->-> Rules: app(app(fmap,app(app(fcons,f:S),t:S)),x:S) -> app(app(cons,app(f:S,x:S)),app(app(fmap,t:S),x:S)) app(app(fmap,fnil),x:S) -> nil Problem 1: Reduction Pairs Processor: -> Pairs: APP(app(fmap,app(app(fcons,f:S),t:S)),x:S) -> APP(app(fmap,t:S),x:S) APP(app(fmap,app(app(fcons,f:S),t:S)),x:S) -> APP(f:S,x:S) -> Rules: app(app(fmap,app(app(fcons,f:S),t:S)),x:S) -> app(app(cons,app(f:S,x:S)),app(app(fmap,t:S),x:S)) app(app(fmap,fnil),x:S) -> nil -> Usable rules: app(app(fmap,app(app(fcons,f:S),t:S)),x:S) -> app(app(cons,app(f:S,x:S)),app(app(fmap,t:S),x:S)) app(app(fmap,fnil),x:S) -> nil ->Interpretation type: Simple mixed ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [app](X1,X2) = 2.X1.X2 + 2.X1 [cons] = 0 [fSNonEmpty] = 0 [fcons] = 2 [fmap] = 2 [fnil] = 1 [nil] = 0 [APP](X1,X2) = 2.X1.X2 + 2.X1 Problem 1: SCC Processor: -> Pairs: APP(app(fmap,app(app(fcons,f:S),t:S)),x:S) -> APP(f:S,x:S) -> Rules: app(app(fmap,app(app(fcons,f:S),t:S)),x:S) -> app(app(cons,app(f:S,x:S)),app(app(fmap,t:S),x:S)) app(app(fmap,fnil),x:S) -> nil ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: APP(app(fmap,app(app(fcons,f:S),t:S)),x:S) -> APP(f:S,x:S) ->->-> Rules: app(app(fmap,app(app(fcons,f:S),t:S)),x:S) -> app(app(cons,app(f:S,x:S)),app(app(fmap,t:S),x:S)) app(app(fmap,fnil),x:S) -> nil Problem 1: popout

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