details

property	value
status	complete
benchmark	15.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n142.star.cs.uiowa.edu
space	Bouchare_06

run statistics

property	value
solver	MultumNonMulta 20 June 2020 20G sparse
configuration	default
runtime (wallclock)	0.462582 seconds
cpu usage	0.899127
user time	0.746483
system time	0.152644
max virtual memory	113188.0
max residence set size	175764.0

stage attributes

key	value
starexec-result	YES

output

YES After renaming modulo { a->0, b->1 }, it remains to prove termination of the 3-rule system { 0 1 0 -> 1 , 1 0 1 -> 1 1 1 , 1 1 -> 0 0 0 } Applying sparse 2-tiling [Hofbauer/Geser/Waldmann, FSCD 2019]. After renaming modulo { (0,0)->0, (0,1)->1, (1,0)->2, (1,1)->3, (0,3)->4, (1,3)->5, (2,0)->6, (2,1)->7 }, it remains to prove termination of the 27-rule system { 0 1 2 0 -> 1 2 , 0 1 2 1 -> 1 3 , 0 1 2 4 -> 1 5 , 2 1 2 0 -> 3 2 , 2 1 2 1 -> 3 3 , 2 1 2 4 -> 3 5 , 6 1 2 0 -> 7 2 , 6 1 2 1 -> 7 3 , 6 1 2 4 -> 7 5 , 1 2 1 2 -> 1 3 3 2 , 1 2 1 3 -> 1 3 3 3 , 1 2 1 5 -> 1 3 3 5 , 3 2 1 2 -> 3 3 3 2 , 3 2 1 3 -> 3 3 3 3 , 3 2 1 5 -> 3 3 3 5 , 7 2 1 2 -> 7 3 3 2 , 7 2 1 3 -> 7 3 3 3 , 7 2 1 5 -> 7 3 3 5 , 1 3 2 -> 0 0 0 0 , 1 3 3 -> 0 0 0 1 , 1 3 5 -> 0 0 0 4 , 3 3 2 -> 2 0 0 0 , 3 3 3 -> 2 0 0 1 , 3 3 5 -> 2 0 0 4 , 7 3 2 -> 6 0 0 0 , 7 3 3 -> 6 0 0 1 , 7 3 5 -> 6 0 0 4 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 is interpreted by / \ | 1 1 | | 0 1 | \ / 1 is interpreted by / \ | 1 4 | | 0 1 | \ / 2 is interpreted by / \ | 1 5 | | 0 1 | \ / 3 is interpreted by / \ | 1 4 | | 0 1 | \ / 4 is interpreted by / \ | 1 0 | | 0 1 | \ / 5 is interpreted by / \ | 1 0 | | 0 1 | \ / 6 is interpreted by / \ | 1 0 | | 0 1 | \ / 7 is interpreted by / \ | 1 0 | | 0 1 | \ / After renaming modulo { }, it remains to prove termination of the 0-rule system { } The system is trivially terminating. popout

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