details

property	value
status	complete
benchmark	019.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n189.star.cs.uiowa.edu
space	AotoYamada_05

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0166311 seconds
cpu usage	0.017118
user time	0.007314
system time	0.009804
max virtual memory	113188.0
max residence set size	4288.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S f:S g:S x:S) (RULES app(app(app(comp,f:S),g:S),x:S) -> app(f:S,app(g:S,x:S)) app(twice,f:S) -> app(app(comp,f:S),f:S) ) Problem 1: Innermost Equivalent Processor: -> Rules: app(app(app(comp,f:S),g:S),x:S) -> app(f:S,app(g:S,x:S)) app(twice,f:S) -> app(app(comp,f:S),f:S) -> 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(comp,f:S),g:S),x:S) -> APP(f:S,app(g:S,x:S)) APP(app(app(comp,f:S),g:S),x:S) -> APP(g:S,x:S) -> Rules: app(app(app(comp,f:S),g:S),x:S) -> app(f:S,app(g:S,x:S)) app(twice,f:S) -> app(app(comp,f:S),f:S) Problem 1: SCC Processor: -> Pairs: APP(app(app(comp,f:S),g:S),x:S) -> APP(f:S,app(g:S,x:S)) APP(app(app(comp,f:S),g:S),x:S) -> APP(g:S,x:S) -> Rules: app(app(app(comp,f:S),g:S),x:S) -> app(f:S,app(g:S,x:S)) app(twice,f:S) -> app(app(comp,f:S),f:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: APP(app(app(comp,f:S),g:S),x:S) -> APP(f:S,app(g:S,x:S)) APP(app(app(comp,f:S),g:S),x:S) -> APP(g:S,x:S) ->->-> Rules: app(app(app(comp,f:S),g:S),x:S) -> app(f:S,app(g:S,x:S)) app(twice,f:S) -> app(app(comp,f:S),f:S) Problem 1: Subterm Processor: -> Pairs: APP(app(app(comp,f:S),g:S),x:S) -> APP(f:S,app(g:S,x:S)) APP(app(app(comp,f:S),g:S),x:S) -> APP(g:S,x:S) -> Rules: app(app(app(comp,f:S),g:S),x:S) -> app(f:S,app(g:S,x:S)) app(twice,f:S) -> app(app(comp,f:S),f:S) ->Projection: pi(APP) = 1 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: app(app(app(comp,f:S),g:S),x:S) -> app(f:S,app(g:S,x:S)) app(twice,f:S) -> app(app(comp,f:S),f:S) ->Strongly Connected Components: There is no strongly connected component The problem is finite. popout

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actions

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