details

property	value
status	complete
benchmark	139282.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n140.star.cs.uiowa.edu
space	ICFP_2010_relative

run statistics

property	value
solver	MultumNonMulta 20 June 2020 20G sparse
configuration	default
runtime (wallclock)	2.46346 seconds
cpu usage	8.03929
user time	7.3229
system time	0.716389
max virtual memory	2.5470736E7
max residence set size	1248948.0

stage attributes

key	value
starexec-result	YES

output

YES After renaming modulo { 0->0, 1->1, 2->2, 3->3 }, it remains to prove termination of the 81-rule system { 0 0 0 0 1 2 0 3 2 1 3 2 2 1 1 2 0 2 -> 0 3 1 2 0 3 1 1 2 0 2 2 0 0 2 0 1 2 , 0 0 0 1 0 3 2 2 3 1 2 2 3 1 2 3 2 3 -> 0 0 0 2 1 0 3 3 1 2 2 3 2 2 3 1 2 3 , 0 1 1 0 2 1 0 0 0 1 1 1 2 1 3 2 3 2 -> 0 1 2 1 2 3 3 0 1 0 0 2 1 1 1 2 0 1 , 0 1 1 2 1 2 0 1 0 0 0 0 2 3 1 3 1 3 -> 0 1 1 0 2 0 2 0 3 0 1 1 0 2 3 1 1 3 , 0 1 2 3 2 3 1 1 2 3 2 1 2 0 0 3 3 2 -> 0 3 3 3 2 1 3 1 2 3 2 2 1 0 1 2 0 2 , 0 1 3 3 1 1 0 1 2 1 0 2 0 2 1 0 0 2 -> 0 1 2 0 2 3 0 1 0 1 2 1 0 1 2 3 0 1 , 0 2 0 0 0 3 3 2 0 3 1 3 2 3 3 1 1 3 -> 0 0 1 2 0 3 1 3 3 0 3 0 2 3 3 2 1 3 , 0 2 1 0 3 3 1 0 1 1 0 0 2 0 2 2 3 3 -> 0 1 1 2 0 2 0 2 3 1 0 3 0 2 1 0 3 3 , 0 2 3 1 1 1 0 0 3 1 0 0 1 1 0 2 0 0 -> 0 1 0 3 0 0 0 1 1 3 1 1 0 2 2 1 0 0 , 0 3 1 0 0 1 1 1 0 3 1 3 2 1 3 2 3 1 -> 0 2 1 2 1 0 0 1 3 0 1 1 1 3 3 3 3 1 , 0 3 3 1 0 2 2 0 0 3 2 0 1 3 1 0 1 1 -> 0 0 0 1 3 2 0 1 2 1 2 3 0 3 0 1 3 1 , 0 3 3 1 1 0 2 0 3 2 0 3 2 3 1 3 0 3 -> 0 1 0 0 2 3 3 3 0 3 3 1 2 1 2 0 3 3 , 1 0 0 0 0 3 2 0 3 1 3 1 2 3 2 2 3 2 -> 3 2 1 3 0 1 2 2 0 2 3 0 0 2 3 0 1 3 , 1 0 1 3 0 3 0 3 3 3 3 3 3 1 2 1 0 0 -> 3 3 0 3 0 1 1 3 3 0 1 3 3 0 2 1 3 0 , 1 0 2 0 3 2 2 3 3 2 3 3 3 1 0 3 1 2 -> 3 2 2 1 3 0 2 2 3 3 3 0 2 0 1 1 3 3 , 1 0 2 1 0 0 1 3 2 3 1 2 3 1 2 3 2 3 -> 2 2 3 0 1 0 0 2 2 3 1 2 3 3 1 1 1 3 , 1 0 3 1 0 1 0 0 1 0 3 0 1 0 0 3 3 1 -> 1 3 0 1 0 0 3 3 0 0 1 1 0 1 0 3 0 1 , 1 0 3 3 1 0 0 3 3 2 3 1 3 3 2 2 2 3 -> 2 1 3 3 3 3 0 2 1 3 2 1 0 3 0 3 2 3 , 1 1 1 0 2 1 2 3 1 1 1 1 1 2 1 1 0 2 -> 1 1 1 1 3 1 2 1 2 0 1 2 2 1 1 0 1 1 , 1 1 1 3 3 1 3 2 1 1 0 0 3 2 1 3 3 0 -> 3 2 3 1 3 1 1 0 3 0 1 1 1 2 1 3 3 0 , 1 1 2 1 1 2 3 3 2 1 2 1 0 0 0 2 3 2 -> 1 2 1 2 1 3 0 2 0 2 1 1 1 3 2 0 2 3 , 1 1 3 1 3 3 1 1 3 3 0 0 1 1 2 1 0 3 -> 1 3 0 3 0 3 1 1 3 1 2 1 3 1 0 1 1 3 , 1 1 3 3 2 1 3 2 3 3 3 1 0 1 1 0 1 3 -> 1 1 3 1 3 1 2 1 0 2 3 1 3 0 1 3 3 3 , 1 3 0 2 1 2 2 1 1 0 3 3 2 2 2 0 3 2 -> 1 1 0 2 0 2 3 0 2 3 2 1 2 3 1 2 3 2 , 1 3 2 2 3 0 3 1 2 2 0 1 1 1 1 0 2 0 -> 1 1 0 3 0 2 2 2 0 1 2 1 3 1 2 1 3 0 , 1 3 3 0 1 0 3 1 3 3 3 2 1 2 2 1 0 3 -> 1 3 0 3 0 1 3 1 0 3 1 2 1 2 3 2 3 3 , 1 3 3 2 3 2 2 0 2 2 0 0 1 1 3 2 0 2 -> 1 2 1 2 2 3 3 0 3 1 2 2 0 3 0 0 2 2 , 2 0 0 0 0 1 0 1 1 2 0 2 3 1 0 2 0 3 -> 3 0 1 0 0 0 2 0 1 2 1 2 0 0 1 3 0 2 , 2 0 2 0 3 1 0 0 2 3 1 0 3 3 1 3 2 0 -> 2 3 3 0 3 0 1 2 0 2 0 3 0 3 0 1 2 1 , 2 0 2 1 1 0 1 2 3 0 3 3 1 0 0 3 1 0 -> 2 0 1 1 1 3 3 0 1 0 0 2 2 3 3 0 1 0 , 2 0 3 0 2 0 0 0 0 3 0 3 3 3 2 0 3 3 -> 2 0 3 0 0 3 0 3 2 0 2 3 3 0 0 3 0 3 , 2 1 0 2 3 3 1 2 0 0 0 1 2 0 0 0 3 1 -> 3 0 2 0 0 0 2 2 0 3 2 1 3 0 1 1 0 1 , 2 1 1 0 1 2 2 2 2 0 0 0 3 1 1 2 2 0 -> 2 1 1 0 0 2 3 2 1 2 2 0 2 1 1 2 0 0 , 2 1 1 3 2 0 3 0 0 2 2 3 2 3 3 2 3 3 -> 2 1 2 2 0 1 3 0 2 2 3 0 3 2 3 3 3 3 , 2 1 2 0 1 0 2 1 0 0 3 1 2 1 2 2 3 1 -> 2 1 3 0 2 1 2 3 0 2 0 1 2 1 2 0 1 1 , 2 1 2 0 1 1 1 0 3 1 3 3 1 2 2 2 0 1 -> 2 1 1 1 1 3 3 0 1 2 3 0 0 1 2 2 2 1 , 2 1 2 3 2 1 1 2 0 3 2 0 2 3 3 2 0 3 -> 2 2 3 0 3 3 2 1 2 1 2 3 2 1 2 0 0 3 , 2 1 3 2 0 1 0 3 3 1 1 0 3 1 3 2 3 1 -> 2 1 0 2 3 3 2 1 3 3 0 0 3 1 1 1 3 1 , 2 1 3 3 1 2 0 0 0 0 2 1 0 2 3 0 0 0 -> 3 0 1 2 0 2 2 1 0 0 3 0 1 0 2 0 3 0 , 2 2 0 0 0 0 0 1 1 3 1 0 3 2 2 1 1 0 -> 1 1 0 0 2 2 0 0 1 3 0 1 1 2 2 0 3 0 , 2 2 0 1 1 3 2 3 2 0 0 3 3 2 1 0 0 0 -> 3 2 2 1 2 1 3 3 1 0 0 2 2 0 3 0 0 0 , 2 2 2 0 1 1 2 1 3 3 3 1 3 1 3 1 1 3 -> 2 2 3 0 3 1 2 1 3 1 3 1 1 1 2 3 1 3 , 2 2 3 3 2 0 1 2 3 3 2 2 1 0 0 0 0 2 -> 2 0 2 0 2 2 1 3 1 3 0 2 3 0 2 2 3 0 , 2 3 1 0 0 3 2 1 0 0 1 0 3 1 3 1 1 3 -> 1 3 1 2 3 1 1 0 1 0 1 3 0 0 3 0 2 3 , 2 3 1 0 1 3 2 3 2 3 2 0 3 3 2 1 2 0 -> 2 2 2 2 3 2 3 0 3 0 3 1 1 3 0 2 3 1 , 2 3 1 0 3 2 0 3 0 1 3 3 1 2 2 0 1 2 -> 2 3 0 1 2 0 3 0 2 3 1 1 2 3 0 3 1 2 , 2 3 1 2 3 3 2 1 0 1 3 2 3 2 0 0 1 3 -> 2 1 2 3 0 1 3 3 3 1 2 3 2 1 3 0 0 2 , 2 3 2 0 0 3 0 0 2 1 1 1 1 1 3 3 1 3 -> 3 1 2 3 1 0 1 0 0 2 3 1 2 1 3 0 1 3 , 2 3 2 0 0 3 2 2 2 2 1 0 0 2 2 1 0 0 -> 2 2 2 2 0 0 2 3 0 2 3 0 2 1 2 0 1 0 , 2 3 3 1 3 1 2 2 0 1 1 3 1 0 0 0 2 0 -> 2 1 2 1 3 0 1 3 0 1 0 2 2 0 3 1 3 0 , 3 0 1 1 2 1 0 0 3 1 1 3 0 0 0 2 1 0 -> 3 1 1 3 0 0 3 1 0 1 0 1 2 0 2 0 1 0 , 3 1 0 0 0 2 3 3 1 0 2 1 1 2 1 2 2 2 -> 2 1 3 2 0 3 3 0 2 0 1 0 1 1 2 1 2 2 , 3 1 0 0 0 3 2 0 2 1 0 2 0 0 3 1 0 2 -> 0 1 3 0 2 3 0 2 3 0 1 0 2 1 0 2 0 0 , 3 1 0 0 1 1 1 1 3 1 2 1 3 1 1 2 3 2 -> 3 3 3 1 2 3 1 1 1 1 0 0 1 1 1 2 1 2 , 3 1 0 1 3 1 0 0 3 3 3 2 1 1 1 2 1 0 -> 3 3 2 1 3 1 0 2 0 3 1 1 1 0 1 3 1 0 , 3 1 0 3 1 2 0 0 0 0 1 1 2 2 3 1 1 2 -> 3 0 1 0 3 1 3 1 0 1 2 0 1 2 0 2 2 1 , 3 1 0 3 3 2 2 2 0 3 3 3 1 0 2 1 2 1 -> 3 3 2 1 0 2 2 2 3 3 3 0 0 1 1 2 3 1 , 3 1 1 0 3 0 2 1 0 1 0 3 2 2 2 3 2 2 -> 3 0 1 2 2 1 1 0 2 2 1 3 3 0 3 2 0 2 , 3 1 1 2 0 1 2 0 0 0 2 3 2 0 0 2 0 3 -> 3 0 0 2 0 0 0 2 2 0 1 3 0 2 1 2 1 3 , 3 1 1 3 2 0 2 3 3 1 0 0 0 3 0 2 1 0 -> 3 1 1 3 0 1 0 3 3 0 2 0 1 3 2 2 0 0 , 3 1 2 1 1 1 2 2 2 2 2 2 3 3 2 3 1 0 -> 2 3 1 2 1 2 2 2 1 3 1 2 2 3 1 2 3 0 , 3 1 2 1 1 3 2 0 3 3 3 2 0 0 1 1 0 3 -> 3 0 1 2 3 1 1 3 3 1 0 3 1 2 0 3 0 2 , 3 1 3 3 2 3 2 2 1 2 2 2 2 1 0 3 1 2 -> 2 3 2 2 1 2 1 3 0 3 2 2 3 1 2 3 1 2 , 3 2 0 0 1 3 2 0 0 1 0 3 0 2 2 1 3 2 -> 0 1 3 2 1 3 0 1 0 2 2 3 3 0 2 0 0 2 , 3 2 0 1 2 3 2 3 0 2 3 0 3 3 2 2 3 2 -> 3 3 2 1 3 0 2 2 2 2 3 3 0 3 2 3 0 2 , 3 2 0 1 3 2 0 3 3 2 3 1 0 0 0 2 0 0 -> 0 1 3 0 3 2 0 2 0 3 3 0 3 0 2 1 0 2 , 3 2 0 3 2 0 1 3 2 0 1 3 2 0 1 0 2 1 -> 3 0 0 2 3 2 1 0 2 1 1 2 3 3 0 2 0 1 , 3 2 0 3 3 1 2 0 1 0 3 2 3 3 2 0 0 0 -> 0 2 0 1 2 0 3 3 2 3 0 1 2 3 3 0 3 0 , 3 2 1 1 3 1 0 3 2 0 1 0 0 1 2 0 0 0 -> 0 3 1 1 0 0 1 1 0 2 1 2 2 3 0 3 0 0 , 3 2 1 3 3 3 2 3 1 3 3 2 3 0 0 0 0 3 -> 0 2 0 2 3 1 3 2 0 3 3 3 0 3 1 3 3 3 , 3 2 2 1 0 2 3 3 2 1 1 0 0 1 0 2 2 2 -> 1 1 2 2 2 2 1 3 0 0 1 3 0 0 3 2 2 2 , 3 2 3 0 2 0 1 3 2 0 1 3 3 3 1 1 2 0 -> 3 0 1 3 0 1 1 2 2 2 1 3 3 0 2 3 3 0 , 3 2 3 1 0 0 2 2 2 1 3 2 0 0 3 0 0 2 -> 0 2 3 0 3 0 2 2 0 3 1 2 3 0 1 0 2 2 , 3 2 3 3 2 3 1 2 3 2 3 3 2 1 3 2 1 2 -> 3 2 3 3 1 2 2 2 1 2 3 3 3 3 2 3 1 2 , 3 3 0 1 1 2 3 3 1 0 0 0 1 0 0 3 2 0 -> 0 3 0 1 0 2 2 0 3 0 3 1 3 1 3 0 1 0 , 3 3 1 1 0 2 2 1 3 2 0 0 1 2 3 3 1 2 -> 3 0 1 3 2 0 2 3 3 0 1 1 1 1 2 3 2 2 , 3 3 1 1 0 3 2 3 3 0 0 0 1 3 3 2 3 1 -> 3 3 3 0 3 1 2 3 0 0 1 1 3 2 3 3 0 1 , 3 3 1 3 0 0 2 2 0 3 2 1 0 0 1 1 2 3 -> 2 3 0 1 0 1 3 1 2 3 2 3 0 2 0 1 0 3 , 3 3 3 1 3 3 2 2 1 2 2 0 3 3 1 3 1 2 -> 3 3 1 2 2 1 3 1 3 0 2 3 3 2 1 3 3 2 , 3 3 3 2 2 0 0 1 1 0 2 3 3 0 3 2 0 0 -> 3 0 3 3 0 0 2 2 1 0 2 3 3 2 1 3 0 0 , 0 1 2 3 ->= 0 1 2 3 } Applying context closure of depth 1 in the following form: System R over Sigma maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2, where fold(a_1...a_n) = (a_1,a_2)...(a_{n-1},a_{n}) After renaming modulo { [0, 0]->0, [0, 1]->1, [1, 2]->2, [2, 0]->3, [0, 3]->4, [3, 2]->5, [2, 1]->6, [1, 3]->7, [2, 2]->8, [1, 1]->9, [0, 2]->10, [3, 1]->11, [1, 0]->12, [2, 3]->13, [3, 0]->14, [3, 3]->15 }, it remains to prove termination of the 1296-rule system { 0 0 0 0 1 2 3 4 5 6 7 5 8 6 9 2 3 10 3 -> 0 4 11 2 3 4 11 9 2 3 10 8 3 0 10 3 1 2 3 , 0 0 0 1 12 4 5 8 13 11 2 8 13 11 2 13 5 13 14 -> 0 0 0 10 6 12 4 15 11 2 8 13 5 8 13 11 2 13 14 , 0 1 9 12 10 6 12 0 0 1 9 9 2 6 7 5 13 5 3 -> 0 1 2 6 2 13 15 14 1 12 0 10 6 9 9 2 3 1 12 , 0 1 9 2 6 2 3 1 12 0 0 0 10 13 11 7 11 7 14 -> 0 1 9 12 10 3 10 3 4 14 1 9 12 10 13 11 9 7 14 , 0 1 2 13 5 13 11 9 2 13 5 6 2 3 0 4 15 5 3 -> 0 4 15 15 5 6 7 11 2 13 5 8 6 12 1 2 3 10 3 , 0 1 7 15 11 9 12 1 2 6 12 10 3 10 6 12 0 10 3 -> 0 1 2 3 10 13 14 1 12 1 2 6 12 1 2 13 14 1 12 , 0 10 3 0 0 4 15 5 3 4 11 7 5 13 15 11 9 7 14 -> 0 0 1 2 3 4 11 7 15 14 4 14 10 13 15 5 6 7 14 , popout

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

job log

popout

actions

all output return to SRS Relative