details

property	value
status	complete
benchmark	ExSec4_2_DLMMU04.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n143.star.cs.uiowa.edu
space	CSR_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.020179 seconds
cpu usage	0.020708
user time	0.010405
system time	0.010303
max virtual memory	113188.0
max residence set size	6336.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR N X XS YS ZS) (STRATEGY CONTEXTSENSITIVE (afterNth 1 2) (fst 1) (head 1) (natsFrom 1) (sel 1 2) (snd 1) (splitAt 1 2) (tail 1) (take 1 2) (u 1) (0) (cons 1) (nil) (pair 1 2) (s 1) ) (RULES afterNth(N,XS) -> snd(splitAt(N,XS)) fst(pair(XS,YS)) -> XS head(cons(N,XS)) -> N natsFrom(N) -> cons(N,natsFrom(s(N))) sel(N,XS) -> head(afterNth(N,XS)) snd(pair(XS,YS)) -> YS splitAt(0,XS) -> pair(nil,XS) splitAt(s(N),cons(X,XS)) -> u(splitAt(N,XS),N,X,XS) tail(cons(N,XS)) -> XS take(N,XS) -> fst(splitAt(N,XS)) u(pair(YS,ZS),N,X,XS) -> pair(cons(X,YS),ZS) ) Problem 1: Innermost Equivalent Processor: -> Rules: afterNth(N,XS) -> snd(splitAt(N,XS)) fst(pair(XS,YS)) -> XS head(cons(N,XS)) -> N natsFrom(N) -> cons(N,natsFrom(s(N))) sel(N,XS) -> head(afterNth(N,XS)) snd(pair(XS,YS)) -> YS splitAt(0,XS) -> pair(nil,XS) splitAt(s(N),cons(X,XS)) -> u(splitAt(N,XS),N,X,XS) tail(cons(N,XS)) -> XS take(N,XS) -> fst(splitAt(N,XS)) u(pair(YS,ZS),N,X,XS) -> pair(cons(X,YS),ZS) -> The context-sensitive term rewriting system is an orthogonal system. Therefore, innermost cs-termination implies cs-termination. Problem 1: Dependency Pairs Processor: -> Pairs: AFTERNTH(N,XS) -> SND(splitAt(N,XS)) AFTERNTH(N,XS) -> SPLITAT(N,XS) SEL(N,XS) -> AFTERNTH(N,XS) SEL(N,XS) -> HEAD(afterNth(N,XS)) SPLITAT(s(N),cons(X,XS)) -> SPLITAT(N,XS) SPLITAT(s(N),cons(X,XS)) -> U(splitAt(N,XS),N,X,XS) SPLITAT(s(N),cons(X,XS)) -> XS TAIL(cons(N,XS)) -> XS TAKE(N,XS) -> FST(splitAt(N,XS)) TAKE(N,XS) -> SPLITAT(N,XS) U(pair(YS,ZS),N,X,XS) -> X -> Rules: afterNth(N,XS) -> snd(splitAt(N,XS)) fst(pair(XS,YS)) -> XS head(cons(N,XS)) -> N natsFrom(N) -> cons(N,natsFrom(s(N))) sel(N,XS) -> head(afterNth(N,XS)) snd(pair(XS,YS)) -> YS splitAt(0,XS) -> pair(nil,XS) splitAt(s(N),cons(X,XS)) -> u(splitAt(N,XS),N,X,XS) tail(cons(N,XS)) -> XS take(N,XS) -> fst(splitAt(N,XS)) u(pair(YS,ZS),N,X,XS) -> pair(cons(X,YS),ZS) -> Unhiding Rules: natsFrom(s(N)) -> NATSFROM(s(N)) Problem 1: SCC Processor: -> Pairs: AFTERNTH(N,XS) -> SND(splitAt(N,XS)) AFTERNTH(N,XS) -> SPLITAT(N,XS) SEL(N,XS) -> AFTERNTH(N,XS) SEL(N,XS) -> HEAD(afterNth(N,XS)) SPLITAT(s(N),cons(X,XS)) -> SPLITAT(N,XS) SPLITAT(s(N),cons(X,XS)) -> U(splitAt(N,XS),N,X,XS) SPLITAT(s(N),cons(X,XS)) -> XS TAIL(cons(N,XS)) -> XS TAKE(N,XS) -> FST(splitAt(N,XS)) TAKE(N,XS) -> SPLITAT(N,XS) U(pair(YS,ZS),N,X,XS) -> X -> Rules: popout

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

job log

popout

actions

all output return to TRS Contextsensitive