details

property	value
status	complete
benchmark	26069.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	MultumNonMulta 20 June 2020 20G sparse
configuration	default
runtime (wallclock)	0.778831 seconds
cpu usage	2.01481
user time	1.75154
system time	0.263275
max virtual memory	2.5650084E7
max residence set size	339856.0

stage attributes

key	value
starexec-result	YES

output

YES After renaming modulo { 0->0, 1->1, 2->2 }, it remains to prove termination of the 4-rule system { 0 1 2 1 -> 1 2 1 1 0 1 2 0 1 2 , 0 1 2 1 -> 1 2 1 1 0 1 2 0 1 2 0 1 2 , 0 1 2 1 -> 1 2 1 1 0 1 2 0 1 2 0 1 2 0 1 2 , 0 1 2 1 -> 1 2 1 1 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 } Applying the dependency pairs transformation. After renaming modulo { (0,true)->0, (1,false)->1, (2,false)->2, (0,false)->3 }, it remains to prove termination of the 9-rule system { 0 1 2 1 -> 0 1 2 3 1 2 , 0 1 2 1 -> 0 1 2 , 0 1 2 1 -> 0 1 2 3 1 2 3 1 2 , 0 1 2 1 -> 0 1 2 3 1 2 3 1 2 3 1 2 , 0 1 2 1 -> 0 1 2 3 1 2 3 1 2 3 1 2 3 1 2 , 3 1 2 1 ->= 1 2 1 1 3 1 2 3 1 2 , 3 1 2 1 ->= 1 2 1 1 3 1 2 3 1 2 3 1 2 , 3 1 2 1 ->= 1 2 1 1 3 1 2 3 1 2 3 1 2 3 1 2 , 3 1 2 1 ->= 1 2 1 1 3 1 2 3 1 2 3 1 2 3 1 2 3 1 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 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 1 0 | | 0 0 0 0 0 | | 0 1 0 0 1 | \ / 2 is interpreted by / \ | 1 0 0 0 0 | | 0 1 0 0 0 | | 0 0 0 0 0 | | 0 0 0 0 1 | | 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 | | 0 1 0 0 0 | | 0 1 1 0 0 | | 0 0 0 0 0 | | 0 0 1 0 0 | \ / After renaming modulo { 3->0, 1->1, 2->2 }, it remains to prove termination of the 4-rule system { 0 1 2 1 ->= 1 2 1 1 0 1 2 0 1 2 , 0 1 2 1 ->= 1 2 1 1 0 1 2 0 1 2 0 1 2 , 0 1 2 1 ->= 1 2 1 1 0 1 2 0 1 2 0 1 2 0 1 2 , 0 1 2 1 ->= 1 2 1 1 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 } The system is trivially terminating. popout

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