details

property	value
status	complete
benchmark	ExSec4_2_DLMMU04_FR.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n179.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	0.695682 seconds
cpu usage	1.57264
user time	1.32168
system time	0.250962
max virtual memory	1767336.0
max residence set size	71904.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: natsFrom(N) -> cons(N,n__natsFrom(n__s(N))) fst(pair(XS,YS)) -> XS snd(pair(XS,YS)) -> YS splitAt(0(),XS) -> pair(nil(),XS) splitAt(s(N),cons(X,XS)) -> u(splitAt(N,activate(XS)),N,X,activate(XS)) u(pair(YS,ZS),N,X,XS) -> pair(cons(activate(X),YS),ZS) head(cons(N,XS)) -> N tail(cons(N,XS)) -> activate(XS) sel(N,XS) -> head(afterNth(N,XS)) take(N,XS) -> fst(splitAt(N,XS)) afterNth(N,XS) -> snd(splitAt(N,XS)) natsFrom(X) -> n__natsFrom(X) s(X) -> n__s(X) activate(n__natsFrom(X)) -> natsFrom(activate(X)) activate(n__s(X)) -> s(activate(X)) activate(X) -> X Proof: DP Processor: DPs: splitAt#(s(N),cons(X,XS)) -> activate#(XS) splitAt#(s(N),cons(X,XS)) -> splitAt#(N,activate(XS)) splitAt#(s(N),cons(X,XS)) -> u#(splitAt(N,activate(XS)),N,X,activate(XS)) u#(pair(YS,ZS),N,X,XS) -> activate#(X) tail#(cons(N,XS)) -> activate#(XS) sel#(N,XS) -> afterNth#(N,XS) sel#(N,XS) -> head#(afterNth(N,XS)) take#(N,XS) -> splitAt#(N,XS) take#(N,XS) -> fst#(splitAt(N,XS)) afterNth#(N,XS) -> splitAt#(N,XS) afterNth#(N,XS) -> snd#(splitAt(N,XS)) activate#(n__natsFrom(X)) -> activate#(X) activate#(n__natsFrom(X)) -> natsFrom#(activate(X)) activate#(n__s(X)) -> activate#(X) activate#(n__s(X)) -> s#(activate(X)) TRS: natsFrom(N) -> cons(N,n__natsFrom(n__s(N))) fst(pair(XS,YS)) -> XS snd(pair(XS,YS)) -> YS splitAt(0(),XS) -> pair(nil(),XS) splitAt(s(N),cons(X,XS)) -> u(splitAt(N,activate(XS)),N,X,activate(XS)) u(pair(YS,ZS),N,X,XS) -> pair(cons(activate(X),YS),ZS) head(cons(N,XS)) -> N tail(cons(N,XS)) -> activate(XS) sel(N,XS) -> head(afterNth(N,XS)) take(N,XS) -> fst(splitAt(N,XS)) afterNth(N,XS) -> snd(splitAt(N,XS)) natsFrom(X) -> n__natsFrom(X) s(X) -> n__s(X) activate(n__natsFrom(X)) -> natsFrom(activate(X)) activate(n__s(X)) -> s(activate(X)) activate(X) -> X TDG Processor: DPs: splitAt#(s(N),cons(X,XS)) -> activate#(XS) splitAt#(s(N),cons(X,XS)) -> splitAt#(N,activate(XS)) splitAt#(s(N),cons(X,XS)) -> u#(splitAt(N,activate(XS)),N,X,activate(XS)) u#(pair(YS,ZS),N,X,XS) -> activate#(X) tail#(cons(N,XS)) -> activate#(XS) sel#(N,XS) -> afterNth#(N,XS) sel#(N,XS) -> head#(afterNth(N,XS)) take#(N,XS) -> splitAt#(N,XS) take#(N,XS) -> fst#(splitAt(N,XS)) afterNth#(N,XS) -> splitAt#(N,XS) afterNth#(N,XS) -> snd#(splitAt(N,XS)) activate#(n__natsFrom(X)) -> activate#(X) activate#(n__natsFrom(X)) -> natsFrom#(activate(X)) activate#(n__s(X)) -> activate#(X) activate#(n__s(X)) -> s#(activate(X)) TRS: natsFrom(N) -> cons(N,n__natsFrom(n__s(N))) fst(pair(XS,YS)) -> XS snd(pair(XS,YS)) -> YS splitAt(0(),XS) -> pair(nil(),XS) splitAt(s(N),cons(X,XS)) -> u(splitAt(N,activate(XS)),N,X,activate(XS)) u(pair(YS,ZS),N,X,XS) -> pair(cons(activate(X),YS),ZS) head(cons(N,XS)) -> N tail(cons(N,XS)) -> activate(XS) sel(N,XS) -> head(afterNth(N,XS)) take(N,XS) -> fst(splitAt(N,XS)) afterNth(N,XS) -> snd(splitAt(N,XS)) natsFrom(X) -> n__natsFrom(X) s(X) -> n__s(X) activate(n__natsFrom(X)) -> natsFrom(activate(X)) activate(n__s(X)) -> s(activate(X)) activate(X) -> X graph: take#(N,XS) -> splitAt#(N,XS) -> splitAt#(s(N),cons(X,XS)) -> u#(splitAt(N,activate(XS)),N,X,activate(XS)) take#(N,XS) -> splitAt#(N,XS) -> splitAt#(s(N),cons(X,XS)) -> splitAt#(N,activate(XS)) take#(N,XS) -> splitAt#(N,XS) -> splitAt#(s(N),cons(X,XS)) -> activate#(XS) afterNth#(N,XS) -> splitAt#(N,XS) -> splitAt#(s(N),cons(X,XS)) -> u#(splitAt(N,activate(XS)),N,X,activate(XS)) afterNth#(N,XS) -> splitAt#(N,XS) -> splitAt#(s(N),cons(X,XS)) -> splitAt#(N,activate(XS)) popout

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

job log

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actions

all output return to TRS Standard