details

property	value
status	complete
benchmark	#4.34.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n144.star.cs.uiowa.edu
space	Applicative_AG01_innermost

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.890212 seconds
cpu usage	0.818051
user time	0.646862
system time	0.171189
max virtual memory	570304.0
max residence set size	17960.0

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(if,ffalse),x:S),y:S) -> y:S app(app(app(if,ttrue),x:S),y:S) -> 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(g,app(s,x:S)),app(s,y:S)) -> app(app(app(if,app(f,x:S)),app(s,x:S)),app(s,y:S)) app(app(g,x:S),app(c,y:S)) -> app(app(g,x:S),app(app(g,app(s,app(c,y:S))),y: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),nil) -> nil app(f,app(s,x:S)) -> app(f,x:S) app(f,0) -> ttrue app(f,1) -> ffalse ) (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(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(g,app(s,x:S)),app(s,y:S)) -> APP(app(app(if,app(f,x:S)),app(s,x:S)),app(s,y:S)) APP(app(g,app(s,x:S)),app(s,y:S)) -> APP(app(if,app(f,x:S)),app(s,x:S)) APP(app(g,app(s,x:S)),app(s,y:S)) -> APP(f,x:S) APP(app(g,app(s,x:S)),app(s,y:S)) -> APP(if,app(f,x:S)) APP(app(g,x:S),app(c,y:S)) -> APP(app(g,app(s,app(c,y:S))),y:S) APP(app(g,x:S),app(c,y:S)) -> APP(app(g,x:S),app(app(g,app(s,app(c,y:S))),y: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(f,app(s,x:S)) -> APP(f,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(if,ffalse),x:S),y:S) -> y:S app(app(app(if,ttrue),x:S),y:S) -> 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(g,app(s,x:S)),app(s,y:S)) -> app(app(app(if,app(f,x:S)),app(s,x:S)),app(s,y:S)) app(app(g,x:S),app(c,y:S)) -> app(app(g,x:S),app(app(g,app(s,app(c,y:S))),y: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),nil) -> nil app(f,app(s,x:S)) -> app(f,x:S) app(f,0) -> ttrue app(f,1) -> ffalse 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(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(g,app(s,x:S)),app(s,y:S)) -> APP(app(app(if,app(f,x:S)),app(s,x:S)),app(s,y:S)) APP(app(g,app(s,x:S)),app(s,y:S)) -> APP(app(if,app(f,x:S)),app(s,x:S)) APP(app(g,app(s,x:S)),app(s,y:S)) -> APP(f,x:S) APP(app(g,app(s,x:S)),app(s,y:S)) -> APP(if,app(f,x:S)) APP(app(g,x:S),app(c,y:S)) -> APP(app(g,app(s,app(c,y:S))),y:S) APP(app(g,x:S),app(c,y:S)) -> APP(app(g,x:S),app(app(g,app(s,app(c,y:S))),y: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(f,app(s,x:S)) -> APP(f,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(if,ffalse),x:S),y:S) -> y:S app(app(app(if,ttrue),x:S),y:S) -> 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(g,app(s,x:S)),app(s,y:S)) -> app(app(app(if,app(f,x:S)),app(s,x:S)),app(s,y:S)) app(app(g,x:S),app(c,y:S)) -> app(app(g,x:S),app(app(g,app(s,app(c,y:S))),y: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),nil) -> nil app(f,app(s,x:S)) -> app(f,x:S) app(f,0) -> ttrue app(f,1) -> ffalse ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: popout

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

job log

popout

actions

all output return to TRS Innermost