details

property	value
status	complete
benchmark	Ex8Polymorphic.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n174.star.cs.uiowa.edu
space	Applicative_05

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0216729 seconds
cpu usage	0.022139
user time	0.012791
system time	0.009348
max virtual memory	113188.0
max residence set size	5512.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S f:S h:S t:S x:S) (RULES app(app(fmap,app(app(cons,f:S),t_f)),x:S) -> app(app(cons,app(f:S,x:S)),app(app(fmap,t_f),x:S)) app(app(fmap,nil),x:S) -> nil app(app(map,f:S),app(app(cons,h:S),t:S)) -> app(app(cons,app(f:S,h:S)),app(app(map,f:S),t:S)) app(app(map,f:S),nil) -> nil app(app(twice,f:S),x:S) -> app(f:S,app(f:S,x:S)) ) Problem 1: Innermost Equivalent Processor: -> Rules: app(app(fmap,app(app(cons,f:S),t_f)),x:S) -> app(app(cons,app(f:S,x:S)),app(app(fmap,t_f),x:S)) app(app(fmap,nil),x:S) -> nil app(app(map,f:S),app(app(cons,h:S),t:S)) -> app(app(cons,app(f:S,h:S)),app(app(map,f:S),t:S)) app(app(map,f:S),nil) -> nil app(app(twice,f:S),x:S) -> app(f:S,app(f:S,x: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(fmap,app(app(cons,f:S),t_f)),x:S) -> APP(app(cons,app(f:S,x:S)),app(app(fmap,t_f),x:S)) APP(app(fmap,app(app(cons,f:S),t_f)),x:S) -> APP(cons,app(f:S,x:S)) APP(app(fmap,app(app(cons,f:S),t_f)),x:S) -> APP(f:S,x:S) APP(app(map,f:S),app(app(cons,h:S),t:S)) -> APP(app(cons,app(f:S,h:S)),app(app(map,f:S),t:S)) APP(app(map,f:S),app(app(cons,h:S),t:S)) -> APP(app(map,f:S),t:S) APP(app(map,f:S),app(app(cons,h:S),t:S)) -> APP(cons,app(f:S,h:S)) APP(app(map,f:S),app(app(cons,h:S),t:S)) -> APP(f:S,h:S) APP(app(twice,f:S),x:S) -> APP(f:S,app(f:S,x:S)) APP(app(twice,f:S),x:S) -> APP(f:S,x:S) -> Rules: app(app(fmap,app(app(cons,f:S),t_f)),x:S) -> app(app(cons,app(f:S,x:S)),app(app(fmap,t_f),x:S)) app(app(fmap,nil),x:S) -> nil app(app(map,f:S),app(app(cons,h:S),t:S)) -> app(app(cons,app(f:S,h:S)),app(app(map,f:S),t:S)) app(app(map,f:S),nil) -> nil app(app(twice,f:S),x:S) -> app(f:S,app(f:S,x:S)) Problem 1: SCC Processor: -> Pairs: APP(app(fmap,app(app(cons,f:S),t_f)),x:S) -> APP(app(cons,app(f:S,x:S)),app(app(fmap,t_f),x:S)) APP(app(fmap,app(app(cons,f:S),t_f)),x:S) -> APP(cons,app(f:S,x:S)) APP(app(fmap,app(app(cons,f:S),t_f)),x:S) -> APP(f:S,x:S) APP(app(map,f:S),app(app(cons,h:S),t:S)) -> APP(app(cons,app(f:S,h:S)),app(app(map,f:S),t:S)) APP(app(map,f:S),app(app(cons,h:S),t:S)) -> APP(app(map,f:S),t:S) APP(app(map,f:S),app(app(cons,h:S),t:S)) -> APP(cons,app(f:S,h:S)) APP(app(map,f:S),app(app(cons,h:S),t:S)) -> APP(f:S,h:S) APP(app(twice,f:S),x:S) -> APP(f:S,app(f:S,x:S)) APP(app(twice,f:S),x:S) -> APP(f:S,x:S) -> Rules: app(app(fmap,app(app(cons,f:S),t_f)),x:S) -> app(app(cons,app(f:S,x:S)),app(app(fmap,t_f),x:S)) app(app(fmap,nil),x:S) -> nil app(app(map,f:S),app(app(cons,h:S),t:S)) -> app(app(cons,app(f:S,h:S)),app(app(map,f:S),t:S)) app(app(map,f:S),nil) -> nil app(app(twice,f:S),x:S) -> app(f:S,app(f:S,x:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: APP(app(fmap,app(app(cons,f:S),t_f)),x:S) -> APP(f:S,x:S) APP(app(map,f:S),app(app(cons,h:S),t:S)) -> APP(app(map,f:S),t:S) APP(app(map,f:S),app(app(cons,h:S),t:S)) -> APP(f:S,h:S) APP(app(twice,f:S),x:S) -> APP(f:S,app(f:S,x:S)) APP(app(twice,f:S),x:S) -> APP(f:S,x:S) ->->-> Rules: app(app(fmap,app(app(cons,f:S),t_f)),x:S) -> app(app(cons,app(f:S,x:S)),app(app(fmap,t_f),x:S)) app(app(fmap,nil),x:S) -> nil app(app(map,f:S),app(app(cons,h:S),t:S)) -> app(app(cons,app(f:S,h:S)),app(app(map,f:S),t:S)) app(app(map,f:S),nil) -> nil app(app(twice,f:S),x:S) -> app(f:S,app(f:S,x:S)) Problem 1: Subterm Processor: -> Pairs: APP(app(fmap,app(app(cons,f:S),t_f)),x:S) -> APP(f:S,x:S) APP(app(map,f:S),app(app(cons,h:S),t:S)) -> APP(app(map,f:S),t:S) APP(app(map,f:S),app(app(cons,h:S),t:S)) -> APP(f:S,h:S) APP(app(twice,f:S),x:S) -> APP(f:S,app(f:S,x:S)) APP(app(twice,f:S),x:S) -> APP(f:S,x:S) -> Rules: app(app(fmap,app(app(cons,f:S),t_f)),x:S) -> app(app(cons,app(f:S,x:S)),app(app(fmap,t_f),x:S)) app(app(fmap,nil),x:S) -> nil app(app(map,f:S),app(app(cons,h:S),t:S)) -> app(app(cons,app(f:S,h:S)),app(app(map,f:S),t:S)) app(app(map,f:S),nil) -> nil app(app(twice,f:S),x:S) -> app(f:S,app(f:S,x:S)) ->Projection: pi(APP) = 1 Problem 1: SCC Processor: popout

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

job log

popout

actions

all output return to TRS Standard