details

property	value
status	complete
benchmark	rel02.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n139.star.cs.uiowa.edu
space	Zantema_06_relative

run statistics

property	value
solver	MultumNonMulta 20 June 2020 20G sparse
configuration	default
runtime (wallclock)	0.586091 seconds
cpu usage	1.33296
user time	1.16268
system time	0.170278
max virtual memory	113188.0
max residence set size	208280.0

stage attributes

key	value
starexec-result	YES

output

YES After renaming modulo { a->0, b->1, c->2 }, it remains to prove termination of the 3-rule system { 0 0 1 -> 1 0 , 2 1 -> 1 0 1 , 0 ->= 0 2 0 } The system was reversed. After renaming modulo { 1->0, 0->1, 2->2 }, it remains to prove termination of the 3-rule system { 0 1 1 -> 1 0 , 0 2 -> 0 1 0 , 1 ->= 1 2 1 } 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, 1]->2, [1, 0]->3, [0, 2]->4, [2, 0]->5, [1, 2]->6, [2, 1]->7, [2, 2]->8 }, it remains to prove termination of the 27-rule system { 0 1 2 3 -> 1 3 0 , 0 4 5 -> 0 1 3 0 , 1 3 ->= 1 6 7 3 , 0 1 2 2 -> 1 3 1 , 0 4 7 -> 0 1 3 1 , 1 2 ->= 1 6 7 2 , 0 1 2 6 -> 1 3 4 , 0 4 8 -> 0 1 3 4 , 1 6 ->= 1 6 7 6 , 3 1 2 3 -> 2 3 0 , 3 4 5 -> 3 1 3 0 , 2 3 ->= 2 6 7 3 , 3 1 2 2 -> 2 3 1 , 3 4 7 -> 3 1 3 1 , 2 2 ->= 2 6 7 2 , 3 1 2 6 -> 2 3 4 , 3 4 8 -> 3 1 3 4 , 2 6 ->= 2 6 7 6 , 5 1 2 3 -> 7 3 0 , 5 4 5 -> 5 1 3 0 , 7 3 ->= 7 6 7 3 , 5 1 2 2 -> 7 3 1 , 5 4 7 -> 5 1 3 1 , 7 2 ->= 7 6 7 2 , 5 1 2 6 -> 7 3 4 , 5 4 8 -> 5 1 3 4 , 7 6 ->= 7 6 7 6 } 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 0 | | 0 1 | \ / 1 is interpreted by / \ | 1 0 | | 0 1 | \ / 2 is interpreted by / \ | 1 1 | | 0 1 | \ / 3 is interpreted by / \ | 1 0 | | 0 1 | \ / 4 is interpreted by / \ | 1 0 | | 0 1 | \ / 5 is interpreted by / \ | 1 1 | | 0 1 | \ / 6 is interpreted by / \ | 1 0 | | 0 1 | \ / 7 is interpreted by / \ | 1 0 | | 0 1 | \ / 8 is interpreted by / \ | 1 1 | | 0 1 | popout

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all output return to SRS Relative