details

property	value
status	complete
benchmark	h32.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n145.star.cs.uiowa.edu
space	Hamana_Kikuchi_18

run statistics

property	value
solver	Wanda 2.2a
configuration	default
runtime (wallclock)	12.8719 seconds
cpu usage	13.2087
user time	12.7611
system time	0.447633
max virtual memory	888452.0
max residence set size	143152.0

stage attributes

key	value
starexec-result	YES

output

YES We consider the system theBenchmark. Alphabet: 0 : [] --> A afterNth : [] --> A -> A -> A and : [] --> A -> A -> A app : [] --> (A -> A) -> A -> A axxafterNth : [] --> A -> A -> A axxand : [] --> A -> A -> A axxfst : [] --> A -> A axxhead : [] --> A -> A axxisLNat : [] --> A -> A axxisNatural : [] --> A -> A axxisPLNat : [] --> A -> A axxnatsFrom : [] --> A -> A axxsel : [] --> A -> A -> A axxsnd : [] --> A -> A axxsplitAt : [] --> A -> A -> A axxtail : [] --> A -> A axxtake : [] --> A -> A -> A axxu101 : [] --> A -> A -> A -> A axxu11 : [] --> A -> A -> A -> A axxu21 : [] --> A -> A -> A axxu31 : [] --> A -> A -> A axxu41 : [] --> A -> A -> A axxu51 : [] --> A -> A -> A -> A axxu61 : [] --> A -> A -> A axxu71 : [] --> A -> A -> A axxu81 : [] --> A -> A -> A -> A -> A axxu82 : [] --> A -> A -> A axxu91 : [] --> A -> A -> A cons : [] --> A -> A -> A fst : [] --> A -> A head : [] --> A -> A isLNat : [] --> A -> A isNatural : [] --> A -> A isPLNat : [] --> A -> A map : [] --> (A -> A) -> A -> A mark : [] --> A -> A natsFrom : [] --> A -> A nil : [] --> A pair : [] --> A -> A -> A s : [] --> A -> A sel : [] --> A -> A -> A snd : [] --> A -> A splitAt : [] --> A -> A -> A tail : [] --> A -> A take : [] --> A -> A -> A tt : [] --> A u101 : [] --> A -> A -> A -> A u11 : [] --> A -> A -> A -> A u21 : [] --> A -> A -> A u31 : [] --> A -> A -> A u41 : [] --> A -> A -> A u51 : [] --> A -> A -> A -> A u61 : [] --> A -> A -> A u71 : [] --> A -> A -> A u81 : [] --> A -> A -> A -> A -> A u82 : [] --> A -> A -> A u91 : [] --> A -> A -> A Rules: axxu101 tt x y => axxfst (axxsplitAt (mark x) (mark y)) axxu11 tt x y => axxsnd (axxsplitAt (mark x) (mark y)) axxu21 tt x => mark x axxu31 tt x => mark x axxu41 tt x => cons (mark x) (natsFrom (s x)) axxu51 tt x y => axxhead (axxafterNth (mark x) (mark y)) axxu61 tt x => mark x axxu71 tt x => pair nil (mark x) axxu81 tt x y z => axxu82 (axxsplitAt (mark x) (mark z)) y axxu82 (pair x y) z => pair (cons (mark z) x) (mark y) axxu91 tt x => mark x axxafterNth x y => axxu11 (axxand (axxisNatural x) (isLNat y)) x y axxand tt x => mark x axxfst (pair x y) => axxu21 (axxand (axxisLNat x) (isLNat y)) x axxhead (cons x y) => axxu31 (axxand (axxisNatural x) (isLNat y)) x axxisLNat nil => tt axxisLNat (afterNth x y) => axxand (axxisNatural x) (isLNat y) axxisLNat (cons x y) => axxand (axxisNatural x) (isLNat y) axxisLNat (fst x) => axxisPLNat x axxisLNat (natsFrom x) => axxisNatural x axxisLNat (snd x) => axxisPLNat x axxisLNat (tail x) => axxisLNat x axxisLNat (take x y) => axxand (axxisNatural x) (isLNat y) axxisNatural 0 => tt axxisNatural (head x) => axxisLNat x axxisNatural (s x) => axxisNatural x axxisNatural (sel x y) => axxand (axxisNatural x) (isLNat y) axxisPLNat (pair x y) => axxand (axxisLNat x) (isLNat y) axxisPLNat (splitAt x y) => axxand (axxisNatural x) (isLNat y) axxnatsFrom x => axxu41 (axxisNatural x) x axxsel x y => axxu51 (axxand (axxisNatural x) (isLNat y)) x y axxsnd (pair x y) => axxu61 (axxand (axxisLNat x) (isLNat y)) y axxsplitAt 0 x => axxu71 (axxisLNat x) x axxsplitAt (s x) (cons y z) => axxu81 (axxand (axxisNatural x) (and (isNatural y) (isLNat z))) x y z axxtail (cons x y) => axxu91 (axxand (axxisNatural x) (isLNat y)) y popout

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

job log

popout

actions

all output return to Higher Order Rewriting Union Beta