details

property	value
status	complete
benchmark	dup03.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n150.star.cs.uiowa.edu
space	Mixed_relative_SRS

run statistics

property	value
solver	MultumNonMulta 20 June 2020 20G sparse
configuration	default
runtime (wallclock)	0.538785 seconds
cpu usage	1.01923
user time	0.867335
system time	0.151895
max virtual memory	113188.0
max residence set size	169120.0

stage attributes

key	value
starexec-result	YES

output

YES After renaming modulo { a->0, c->1, b->2 }, it remains to prove termination of the 3-rule system { 0 0 1 1 2 2 -> 2 2 0 0 2 2 0 0 , 0 0 0 0 -> 0 0 2 2 0 0 , 2 2 ->= 2 2 1 1 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 7: 0 is interpreted by / \ | 1 0 1 0 0 0 0 | | 0 1 0 0 0 0 0 | | 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 | | 0 1 1 0 0 0 0 | | 0 0 1 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 | | 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 1 0 0 0 0 | | 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 | | 0 1 0 1 0 1 0 | \ / After renaming modulo { 0->0, 2->1, 1->2 }, it remains to prove termination of the 2-rule system { 0 0 0 0 -> 0 0 1 1 0 0 , 1 1 ->= 1 1 2 2 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 5: 0 is interpreted by / \ | 1 0 1 0 0 | | 0 1 0 0 0 | | 0 0 0 1 0 | | 0 0 0 0 1 | | 0 1 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 | | 0 1 0 0 0 | | 0 0 0 0 0 | | 0 0 0 0 0 | | 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 | | 0 1 0 0 0 | | 0 0 0 0 0 | | 0 0 0 0 0 | | 0 0 0 0 0 | \ / After renaming modulo { 1->0, 2->1 }, it remains to prove termination of the 1-rule system { 0 0 ->= 0 0 1 1 } The system is trivially terminating. popout

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all output return to SRS Relative