details

property	value
status	complete
benchmark	#4.17.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	Applicative_AG01_innermost

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	22.5618 seconds
cpu usage	22.5189
user time	21.5218
system time	0.997087
max virtual memory	724972.0
max residence set size	20060.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S fun:S x:S xs:S y:S) (RULES app(app(app(app(filter2,ffalse),fun:S),x:S),xs:S) -> app(app(filter,fun:S),xs:S) app(app(app(app(filter2,ttrue),fun:S),x:S),xs:S) -> app(app(cons,x:S),app(app(filter,fun:S),xs:S)) app(app(app(f,app(g,x:S)),app(s,0)),y:S) -> app(app(app(f,app(g,app(s,0))),y:S),app(g,x:S)) app(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> app(app(app(app(filter2,app(fun:S,x:S)),fun:S),x:S),xs:S) app(app(filter,fun:S),nil) -> nil app(app(map,fun:S),app(app(cons,x:S),xs:S)) -> app(app(cons,app(fun:S,x:S)),app(app(map,fun:S),xs:S)) app(app(map,fun:S),nil) -> nil app(g,app(s,x:S)) -> app(s,app(g,x:S)) app(g,0) -> 0 ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: APP(app(app(app(filter2,ffalse),fun:S),x:S),xs:S) -> APP(app(filter,fun:S),xs:S) APP(app(app(app(filter2,ttrue),fun:S),x:S),xs:S) -> APP(app(cons,x:S),app(app(filter,fun:S),xs:S)) APP(app(app(app(filter2,ttrue),fun:S),x:S),xs:S) -> APP(app(filter,fun:S),xs:S) APP(app(app(f,app(g,x:S)),app(s,0)),y:S) -> APP(app(app(f,app(g,app(s,0))),y:S),app(g,x:S)) APP(app(app(f,app(g,x:S)),app(s,0)),y:S) -> APP(app(f,app(g,app(s,0))),y:S) APP(app(app(f,app(g,x:S)),app(s,0)),y:S) -> APP(f,app(g,app(s,0))) APP(app(app(f,app(g,x:S)),app(s,0)),y:S) -> APP(g,app(s,0)) APP(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> APP(app(app(app(filter2,app(fun:S,x:S)),fun:S),x:S),xs:S) APP(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> APP(app(app(filter2,app(fun:S,x:S)),fun:S),x:S) APP(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> APP(app(filter2,app(fun:S,x:S)),fun:S) APP(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> APP(filter2,app(fun:S,x:S)) APP(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> APP(fun:S,x:S) APP(app(map,fun:S),app(app(cons,x:S),xs:S)) -> APP(app(cons,app(fun:S,x:S)),app(app(map,fun:S),xs:S)) APP(app(map,fun:S),app(app(cons,x:S),xs:S)) -> APP(app(map,fun:S),xs:S) APP(app(map,fun:S),app(app(cons,x:S),xs:S)) -> APP(cons,app(fun:S,x:S)) APP(app(map,fun:S),app(app(cons,x:S),xs:S)) -> APP(fun:S,x:S) APP(g,app(s,x:S)) -> APP(g,x:S) APP(g,app(s,x:S)) -> APP(s,app(g,x:S)) -> Rules: app(app(app(app(filter2,ffalse),fun:S),x:S),xs:S) -> app(app(filter,fun:S),xs:S) app(app(app(app(filter2,ttrue),fun:S),x:S),xs:S) -> app(app(cons,x:S),app(app(filter,fun:S),xs:S)) app(app(app(f,app(g,x:S)),app(s,0)),y:S) -> app(app(app(f,app(g,app(s,0))),y:S),app(g,x:S)) app(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> app(app(app(app(filter2,app(fun:S,x:S)),fun:S),x:S),xs:S) app(app(filter,fun:S),nil) -> nil app(app(map,fun:S),app(app(cons,x:S),xs:S)) -> app(app(cons,app(fun:S,x:S)),app(app(map,fun:S),xs:S)) app(app(map,fun:S),nil) -> nil app(g,app(s,x:S)) -> app(s,app(g,x:S)) app(g,0) -> 0 Problem 1: SCC Processor: -> Pairs: APP(app(app(app(filter2,ffalse),fun:S),x:S),xs:S) -> APP(app(filter,fun:S),xs:S) APP(app(app(app(filter2,ttrue),fun:S),x:S),xs:S) -> APP(app(cons,x:S),app(app(filter,fun:S),xs:S)) APP(app(app(app(filter2,ttrue),fun:S),x:S),xs:S) -> APP(app(filter,fun:S),xs:S) APP(app(app(f,app(g,x:S)),app(s,0)),y:S) -> APP(app(app(f,app(g,app(s,0))),y:S),app(g,x:S)) APP(app(app(f,app(g,x:S)),app(s,0)),y:S) -> APP(app(f,app(g,app(s,0))),y:S) APP(app(app(f,app(g,x:S)),app(s,0)),y:S) -> APP(f,app(g,app(s,0))) APP(app(app(f,app(g,x:S)),app(s,0)),y:S) -> APP(g,app(s,0)) APP(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> APP(app(app(app(filter2,app(fun:S,x:S)),fun:S),x:S),xs:S) APP(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> APP(app(app(filter2,app(fun:S,x:S)),fun:S),x:S) APP(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> APP(app(filter2,app(fun:S,x:S)),fun:S) APP(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> APP(filter2,app(fun:S,x:S)) APP(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> APP(fun:S,x:S) APP(app(map,fun:S),app(app(cons,x:S),xs:S)) -> APP(app(cons,app(fun:S,x:S)),app(app(map,fun:S),xs:S)) APP(app(map,fun:S),app(app(cons,x:S),xs:S)) -> APP(app(map,fun:S),xs:S) APP(app(map,fun:S),app(app(cons,x:S),xs:S)) -> APP(cons,app(fun:S,x:S)) APP(app(map,fun:S),app(app(cons,x:S),xs:S)) -> APP(fun:S,x:S) APP(g,app(s,x:S)) -> APP(g,x:S) APP(g,app(s,x:S)) -> APP(s,app(g,x:S)) -> Rules: app(app(app(app(filter2,ffalse),fun:S),x:S),xs:S) -> app(app(filter,fun:S),xs:S) app(app(app(app(filter2,ttrue),fun:S),x:S),xs:S) -> app(app(cons,x:S),app(app(filter,fun:S),xs:S)) app(app(app(f,app(g,x:S)),app(s,0)),y:S) -> app(app(app(f,app(g,app(s,0))),y:S),app(g,x:S)) app(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> app(app(app(app(filter2,app(fun:S,x:S)),fun:S),x:S),xs:S) app(app(filter,fun:S),nil) -> nil app(app(map,fun:S),app(app(cons,x:S),xs:S)) -> app(app(cons,app(fun:S,x:S)),app(app(map,fun:S),xs:S)) app(app(map,fun:S),nil) -> nil app(g,app(s,x:S)) -> app(s,app(g,x:S)) app(g,0) -> 0 ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: APP(g,app(s,x:S)) -> APP(g,x:S) ->->-> Rules: app(app(app(app(filter2,ffalse),fun:S),x:S),xs:S) -> app(app(filter,fun:S),xs:S) app(app(app(app(filter2,ttrue),fun:S),x:S),xs:S) -> app(app(cons,x:S),app(app(filter,fun:S),xs:S)) app(app(app(f,app(g,x:S)),app(s,0)),y:S) -> app(app(app(f,app(g,app(s,0))),y:S),app(g,x:S)) app(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> app(app(app(app(filter2,app(fun:S,x:S)),fun:S),x:S),xs:S) app(app(filter,fun:S),nil) -> nil app(app(map,fun:S),app(app(cons,x:S),xs:S)) -> app(app(cons,app(fun:S,x:S)),app(app(map,fun:S),xs:S)) app(app(map,fun:S),nil) -> nil app(g,app(s,x:S)) -> app(s,app(g,x:S)) app(g,0) -> 0 ->->Cycle: ->->-> Pairs: APP(app(app(f,app(g,x:S)),app(s,0)),y:S) -> APP(app(app(f,app(g,app(s,0))),y:S),app(g,x:S)) popout

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

job log

popout

actions

all output return to TRS Innermost