details

property	value
status	complete
benchmark	size-12-alpha-3-num-469.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n147.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	MultumNonMulta 20 June 2020 20G sparse
configuration	default
runtime (wallclock)	3.25084 seconds
cpu usage	11.6458
user time	11.0088
system time	0.636994
max virtual memory	2.6053928E7
max residence set size	1469236.0

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 -> , 0 1 -> 2 , 2 2 -> 1 2 1 0 0 } Applying the dependency pairs transformation. After renaming modulo { (0,true)->0, (1,false)->1, (2,true)->2, (2,false)->3, (0,false)->4 }, it remains to prove termination of the 7-rule system { 0 1 -> 2 , 2 3 -> 2 1 4 4 , 2 3 -> 0 4 , 2 3 -> 0 , 4 4 ->= , 4 1 ->= 3 , 3 3 ->= 1 3 1 4 4 } 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 0 0 1 | | 0 1 0 0 0 | | 0 0 0 0 0 | | 0 0 0 0 0 | | 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 | | 0 1 0 0 0 | | 0 0 0 0 0 | | 0 1 1 0 2 | | 0 0 1 0 0 | \ / 2 is interpreted by / \ | 1 0 1 0 0 | | 0 1 0 0 0 | | 0 0 0 0 0 | | 0 0 0 0 0 | | 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 | | 0 1 0 0 0 | | 0 1 1 0 2 | | 0 0 2 0 0 | | 0 0 2 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 | | 0 1 0 0 0 | | 0 0 0 1 0 | | 0 0 1 0 2 | | 0 0 0 0 2 | \ / After renaming modulo { 0->0, 1->1, 2->2, 4->3, 3->4 }, it remains to prove termination of the 4-rule system { 0 1 -> 2 , 3 3 ->= , 3 1 ->= 4 , 4 4 ->= 1 4 1 3 3 } 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 0 | | 0 1 | \ / 2 is interpreted by / \ | 1 0 | | 0 1 | \ / 3 is interpreted by / \ | 1 0 | | 0 1 | \ / 4 is interpreted by / \ | 1 0 | popout

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