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SRS Standard pair #487086563
details
property
value
status
complete
benchmark
45970.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
ICFP_2010
run statistics
property
value
solver
MultumNonMulta 20 June 2020 20G sparse
configuration
default
runtime (wallclock)
8.33213 seconds
cpu usage
31.37
user time
28.46
system time
2.91
max virtual memory
2.6796768E7
max residence set size
2345108.0
stage attributes
key
value
starexec-result
YES
output
YES After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 50-rule system { 0 1 0 2 2 3 -> 0 2 2 1 0 3 , 0 4 4 1 0 4 -> 0 4 4 4 0 1 , 0 4 0 0 4 2 3 5 1 -> 5 0 3 2 4 0 0 1 4 , 1 2 3 1 0 1 4 2 0 -> 4 0 3 2 1 1 2 1 0 , 1 3 4 0 4 1 1 2 3 5 4 4 -> 2 4 4 0 1 3 5 1 4 3 4 1 , 4 1 1 3 3 0 1 5 0 4 4 2 2 3 3 5 4 3 -> 4 0 4 2 4 3 1 3 4 3 5 1 2 0 3 5 1 3 , 1 0 4 3 1 2 1 2 0 4 3 3 2 1 5 2 3 2 1 -> 1 4 2 1 1 4 1 0 3 0 5 3 1 3 2 2 3 2 2 , 1 1 1 3 0 4 5 0 3 0 1 1 3 0 4 5 3 3 0 -> 4 5 0 3 3 4 1 0 0 1 1 1 3 1 0 3 5 3 0 , 1 3 2 3 0 5 0 4 1 1 2 4 4 3 3 5 4 0 5 -> 4 2 1 2 5 3 4 1 1 3 0 0 3 3 4 0 5 4 5 , 3 0 2 2 0 1 1 5 0 1 1 1 0 2 0 4 5 0 1 -> 5 1 2 1 4 0 0 3 0 1 0 0 1 0 1 2 5 1 2 , 0 2 1 5 4 1 5 4 0 1 2 0 2 1 2 1 1 1 3 5 2 5 -> 2 1 1 3 5 4 2 5 0 5 2 1 1 1 2 1 4 0 2 0 5 1 , 2 2 5 3 3 3 0 4 1 3 5 4 5 1 3 4 1 0 3 5 4 0 -> 0 1 5 3 4 1 3 5 3 3 1 3 4 5 3 4 4 0 2 2 5 0 , 2 5 5 1 4 3 3 2 1 1 1 5 0 4 4 3 5 1 4 1 4 5 2 -> 3 4 5 1 4 4 5 2 1 5 5 5 0 1 2 1 1 1 3 4 3 4 2 , 3 4 0 2 2 3 2 4 2 3 5 3 5 0 1 3 5 5 2 4 4 2 3 3 -> 5 5 3 2 2 2 0 5 4 3 3 3 2 0 2 4 2 1 5 3 4 3 4 3 , 5 5 2 0 2 1 5 5 2 1 4 4 5 2 4 4 1 1 1 3 2 5 5 5 -> 5 4 5 0 5 4 2 1 2 4 1 1 2 1 2 4 5 3 1 5 2 5 5 5 , 1 5 2 4 1 3 3 5 3 0 4 2 5 1 5 2 0 1 0 3 0 5 5 1 4 -> 1 5 2 3 1 5 4 5 5 2 3 4 2 3 5 4 1 1 3 0 0 1 0 5 0 , 3 1 5 1 0 4 4 1 1 2 2 0 2 3 3 2 2 3 3 5 4 1 2 5 1 -> 1 3 0 3 5 5 2 1 2 3 2 5 2 3 1 0 2 1 3 1 4 1 2 4 4 , 0 0 1 4 0 0 4 2 1 5 5 3 0 3 4 0 1 4 3 1 5 5 2 0 0 2 3 -> 0 0 5 4 1 2 4 2 1 5 4 2 0 5 0 0 0 3 4 1 3 5 3 0 1 0 3 , 1 1 5 4 4 5 0 4 5 1 1 0 3 2 1 3 0 2 1 5 3 2 0 4 5 0 2 -> 2 3 4 0 1 5 0 5 1 1 2 0 3 4 1 3 0 4 1 5 2 5 0 4 2 5 1 , 1 5 2 4 3 0 1 4 3 5 0 5 0 1 3 2 0 1 4 3 3 2 1 0 1 5 5 -> 1 5 1 4 1 0 0 3 5 5 0 0 3 0 1 1 4 5 3 2 3 1 2 4 2 5 3 , 0 1 2 5 3 3 1 0 4 1 4 2 0 1 0 4 4 1 0 5 3 2 1 2 5 2 5 1 -> 0 1 1 5 3 5 4 0 2 3 0 0 0 4 5 1 4 1 2 1 5 2 1 4 3 2 2 1 , 0 4 1 4 2 2 4 0 0 3 5 3 0 0 5 0 4 5 5 5 3 2 1 1 0 2 3 1 -> 0 1 2 4 1 1 3 0 5 2 3 0 3 0 5 0 4 5 2 4 5 4 1 5 0 2 0 3 , 2 0 3 1 0 4 3 1 5 2 2 4 1 1 3 0 2 4 2 5 2 2 2 4 1 5 5 1 2 -> 2 0 0 2 2 1 5 2 3 1 3 3 1 4 5 2 1 4 2 5 2 2 2 0 5 4 4 1 1 , 0 5 0 2 3 0 4 0 0 4 3 3 5 0 4 5 4 1 4 0 2 5 5 5 3 1 5 2 2 3 3 -> 2 3 5 3 5 0 4 0 0 0 3 3 4 0 4 1 4 5 3 4 2 5 5 5 5 2 0 0 2 1 3 , 1 2 3 5 3 5 0 3 3 3 1 3 1 0 3 3 5 2 0 3 4 4 0 0 4 0 4 0 0 2 2 -> 1 3 3 5 0 5 5 3 4 1 2 3 3 0 0 4 2 1 0 0 0 3 2 3 4 0 3 0 4 3 2 , 3 2 4 2 2 3 1 4 1 2 0 1 0 5 2 1 3 0 1 1 2 0 4 0 1 0 3 4 2 1 4 -> 0 2 1 2 1 4 1 3 1 2 4 5 0 0 2 1 1 4 1 3 4 0 1 0 2 3 3 2 0 2 4 , 4 0 4 0 4 2 1 5 1 2 3 1 0 0 3 3 4 3 5 4 2 1 5 5 3 4 0 1 3 5 2 -> 4 0 4 3 1 2 3 4 2 5 3 2 0 5 1 3 4 1 0 3 5 1 2 4 1 3 0 4 0 5 5 , 2 2 4 3 5 5 4 1 3 0 4 5 5 2 2 3 3 5 2 1 0 3 1 1 0 3 3 3 0 0 1 0 3 -> 2 4 1 5 1 5 0 4 0 0 0 2 3 2 3 3 2 5 1 5 1 3 3 2 5 3 3 4 3 1 0 0 3 , 2 4 4 0 2 1 3 5 0 0 1 4 4 2 1 1 2 0 0 5 2 2 3 2 5 5 1 0 1 1 3 4 4 5 -> 2 4 3 0 5 0 1 1 1 0 2 1 1 2 2 2 4 0 0 4 5 2 4 3 5 5 0 4 1 1 3 4 2 5 , 5 4 3 5 2 3 5 1 2 2 3 1 3 2 3 2 4 1 0 1 4 5 4 1 4 4 0 1 0 2 5 2 2 0 -> 5 4 1 5 2 2 5 3 4 0 5 0 4 2 3 0 0 3 4 5 2 1 4 2 3 4 1 1 2 1 1 2 2 3 , 0 3 0 4 5 5 5 1 3 0 4 4 3 4 5 2 5 0 0 1 5 0 5 5 0 4 5 1 1 0 4 3 4 5 2 -> 0 3 0 0 1 5 5 1 3 4 4 1 4 0 4 5 5 4 2 2 5 5 5 5 0 0 0 1 3 4 5 3 4 5 0 , 4 2 1 2 2 1 5 1 5 3 0 5 3 5 0 4 4 3 1 2 1 2 0 2 4 4 3 1 1 4 4 5 5 1 2 -> 4 1 5 2 2 0 5 3 0 2 2 2 1 5 3 4 1 2 1 5 3 1 0 3 4 4 4 1 1 4 4 5 5 2 1 , 5 4 4 1 1 3 5 2 2 2 5 3 3 3 0 4 5 3 2 3 0 5 5 1 2 2 0 1 1 3 1 5 0 0 2 -> 3 4 5 1 0 2 3 2 3 2 0 3 5 3 1 4 5 2 2 2 0 1 5 5 2 1 1 4 5 3 5 0 0 1 3 , 0 0 3 0 0 0 3 4 1 4 0 5 2 1 5 2 4 1 1 1 5 2 2 5 3 4 0 0 4 3 1 3 5 4 1 1 -> 0 0 1 4 0 5 0 1 4 4 0 0 2 1 5 3 1 0 1 0 5 2 2 5 3 4 3 1 4 3 3 4 5 1 2 1 , 2 1 1 4 3 2 2 4 1 5 3 3 3 3 2 4 4 3 0 1 4 3 2 0 0 2 1 5 2 2 3 0 1 5 1 2 -> 0 3 1 2 3 4 0 2 2 3 1 3 1 3 5 4 4 3 2 1 4 3 4 2 0 1 1 5 2 2 3 0 5 2 1 2 , 4 5 4 4 4 0 4 4 5 5 2 0 2 5 0 3 1 4 3 4 3 0 1 4 4 1 0 4 5 4 3 3 1 1 0 5 -> 4 4 4 5 3 1 1 2 5 5 3 4 4 5 1 3 3 4 4 0 0 0 5 0 1 1 0 4 5 2 0 3 4 4 4 4 , 0 0 5 5 1 0 1 4 5 2 0 5 2 5 2 1 0 5 1 1 4 5 0 2 1 0 3 4 1 2 5 0 1 4 4 5 3 5 -> 0 3 4 5 1 0 0 5 1 0 0 5 4 5 0 1 2 5 5 4 4 1 0 2 1 3 2 2 1 0 5 1 5 1 4 5 2 5 , 0 1 3 0 3 1 0 3 0 4 3 0 3 2 1 3 5 0 5 3 0 1 0 1 1 4 3 0 5 1 4 3 3 3 0 0 0 5 3 4 -> 0 3 1 0 5 4 0 3 0 4 5 0 5 1 3 3 0 0 3 0 3 1 3 2 1 1 5 4 3 1 1 0 3 3 0 0 3 4 3 0 , 4 3 3 0 0 0 3 2 4 3 0 0 4 4 2 4 4 2 1 2 5 5 0 0 4 2 5 5 1 0 4 4 5 0 2 3 3 2 4 4 0 4 -> 4 2 2 4 0 0 3 2 5 3 4 5 4 0 0 4 0 2 1 0 5 5 2 4 3 3 5 4 1 0 4 4 0 0 4 3 3 2 2 4 0 4 , 0 1 0 4 0 1 1 1 1 1 0 3 4 3 3 1 4 0 2 0 1 1 0 4 4 3 3 5 0 1 1 0 3 0 4 0 0 4 0 3 1 3 5 3 5 -> 0 3 3 1 0 1 3 1 0 1 5 3 4 0 3 1 4 0 2 3 1 4 0 5 4 0 3 0 1 1 1 0 0 0 4 0 0 4 1 5 1 1 4 3 3 , 0 2 2 3 1 3 4 0 5 3 3 2 0 2 1 5 0 2 0 3 2 1 4 5 0 4 4 0 2 3 0 1 2 1 2 1 1 5 3 2 3 0 3 5 2 -> 0 2 2 5 0 3 4 2 5 0 3 2 1 2 1 3 0 1 0 3 4 0 4 4 0 2 2 0 2 3 3 3 2 1 3 1 1 5 2 1 3 5 0 5 2 , 2 2 0 4 5 5 3 5 1 2 3 5 2 5 5 3 3 2 1 1 1 3 1 3 5 3 4 1 5 2 1 1 4 1 1 2 2 3 2 4 2 2 5 3 3 -> 2 2 1 1 5 1 3 2 1 3 1 3 2 5 5 3 5 5 1 2 1 3 5 3 1 2 4 0 3 5 4 2 4 1 1 2 2 3 3 2 2 4 5 5 3 , 2 5 0 5 0 1 5 1 3 4 4 3 1 3 3 3 0 5 3 3 0 4 3 3 3 2 4 4 2 2 5 2 4 3 3 5 1 2 1 0 4 1 5 2 3 2 2 -> 2 2 0 5 0 2 5 1 3 3 2 3 1 4 3 2 0 5 3 3 4 4 3 2 3 2 4 1 0 4 5 2 4 3 0 5 1 1 2 3 4 1 5 3 3 5 3 , 4 5 4 2 3 3 2 4 1 0 3 4 4 3 1 4 0 0 1 4 4 4 5 2 0 4 2 2 2 2 0 4 3 4 3 0 3 2 5 3 3 0 5 3 0 4 1 -> 4 5 3 2 5 4 2 3 1 4 4 4 4 3 2 4 4 0 1 4 4 2 0 0 3 4 3 2 0 2 0 1 3 4 3 0 3 5 2 3 2 0 5 3 0 4 1 , 0 3 1 4 5 1 2 2 4 5 1 3 5 3 2 3 0 4 5 2 1 4 4 5 3 1 0 1 1 2 5 3 4 5 5 0 2 3 0 4 1 0 3 3 0 2 4 4 -> 0 3 1 4 5 1 5 2 2 5 2 3 4 4 4 3 0 5 4 2 2 3 4 0 5 1 0 0 1 2 1 3 5 5 2 0 5 3 1 4 1 0 3 3 4 1 3 4 , 1 4 4 2 5 4 5 2 1 4 4 2 0 2 3 5 0 3 3 5 0 3 5 0 4 0 0 5 5 2 5 0 4 0 3 2 2 1 5 3 2 4 3 1 5 4 4 1 -> 4 2 1 2 0 4 5 5 5 4 4 5 0 0 3 4 0 2 3 4 3 3 1 2 4 5 4 5 2 5 2 0 5 0 3 0 0 1 5 3 2 1 2 1 5 4 3 4 , 2 3 1 5 1 2 3 3 3 5 2 1 5 5 3 4 0 5 2 2 2 3 2 3 3 3 3 1 3 2 2 0 2 1 4 1 4 4 3 2 4 4 0 4 2 4 3 0 -> 1 3 2 3 3 2 3 4 2 4 2 0 1 5 3 4 0 5 2 2 1 3 2 1 5 3 3 3 3 2 2 0 2 2 4 4 3 1 5 3 0 4 5 4 2 3 4 1 , 4 5 5 4 4 4 3 3 2 0 1 4 5 3 1 1 5 4 3 0 2 4 2 5 4 2 0 3 4 1 4 2 5 1 5 4 0 4 0 0 2 2 2 0 3 0 2 0 -> 4 0 5 4 4 5 3 1 2 1 3 4 5 3 3 1 2 4 3 1 4 2 5 4 4 4 0 4 0 0 4 2 0 1 5 2 2 2 0 0 5 2 2 0 3 5 4 0 , 1 3 5 2 5 4 0 1 4 5 5 2 1 2 5 4 1 3 1 3 5 3 4 2 5 0 1 3 5 3 3 0 2 2 2 2 5 1 4 5 3 1 4 0 2 1 5 1 1 -> 2 3 5 2 5 4 0 5 5 5 4 2 1 3 3 0 1 1 2 3 5 1 4 2 1 5 1 4 0 2 3 0 3 2 2 3 5 1 1 5 3 1 1 4 2 4 5 1 5 , 4 0 3 4 1 4 0 4 5 3 0 2 3 4 2 0 5 2 4 1 5 3 0 4 2 5 3 5 1 0 1 1 0 3 5 3 3 4 5 0 4 4 3 3 2 1 1 5 5 -> 4 1 0 4 5 1 0 4 5 3 0 2 3 4 2 0 5 2 4 1 0 3 0 1 1 5 0 3 1 1 4 3 5 2 5 2 5 4 4 3 5 4 3 3 3 4 0 3 5 } Applying sparse 2-tiling [Hofbauer/Geser/Waldmann, FSCD 2019]. After renaming modulo { (0,0)->0, (0,1)->1, (1,0)->2, (0,2)->3, (2,2)->4, (2,3)->5, (3,0)->6, (2,1)->7, (0,3)->8, (3,1)->9, (3,2)->10, (3,3)->11, (3,4)->12, (3,5)->13, (3,7)->14, (2,0)->15, (4,0)->16, (5,0)->17, (6,0)->18, (0,4)->19, (4,4)->20, (4,1)->21, (1,1)->22, (4,2)->23, (1,2)->24, (4,3)->25, (1,3)->26, (1,4)->27, (4,5)->28, (1,5)->29, (4,7)->30, (1,7)->31, (5,1)->32, (0,5)->33, (2,4)->34, (2,5)->35, (5,5)->36, (6,5)->37, (0,7)->38, (5,4)->39, (6,1)->40, (6,4)->41, (5,2)->42, (6,2)->43, (5,3)->44, (2,7)->45, (5,7)->46, (6,3)->47 }, it remains to prove termination of the 2450-rule system { 0 1 2 3 4 5 6 -> 0 3 4 7 2 8 6 , 0 1 2 3 4 5 9 -> 0 3 4 7 2 8 9 , 0 1 2 3 4 5 10 -> 0 3 4 7 2 8 10 , 0 1 2 3 4 5 11 -> 0 3 4 7 2 8 11 , 0 1 2 3 4 5 12 -> 0 3 4 7 2 8 12 , 0 1 2 3 4 5 13 -> 0 3 4 7 2 8 13 , 0 1 2 3 4 5 14 -> 0 3 4 7 2 8 14 , 2 1 2 3 4 5 6 -> 2 3 4 7 2 8 6 , 2 1 2 3 4 5 9 -> 2 3 4 7 2 8 9 , 2 1 2 3 4 5 10 -> 2 3 4 7 2 8 10 , 2 1 2 3 4 5 11 -> 2 3 4 7 2 8 11 , 2 1 2 3 4 5 12 -> 2 3 4 7 2 8 12 , 2 1 2 3 4 5 13 -> 2 3 4 7 2 8 13 , 2 1 2 3 4 5 14 -> 2 3 4 7 2 8 14 , 15 1 2 3 4 5 6 -> 15 3 4 7 2 8 6 , 15 1 2 3 4 5 9 -> 15 3 4 7 2 8 9 , 15 1 2 3 4 5 10 -> 15 3 4 7 2 8 10 , 15 1 2 3 4 5 11 -> 15 3 4 7 2 8 11 , 15 1 2 3 4 5 12 -> 15 3 4 7 2 8 12 , 15 1 2 3 4 5 13 -> 15 3 4 7 2 8 13 , 15 1 2 3 4 5 14 -> 15 3 4 7 2 8 14 , 6 1 2 3 4 5 6 -> 6 3 4 7 2 8 6 , 6 1 2 3 4 5 9 -> 6 3 4 7 2 8 9 , 6 1 2 3 4 5 10 -> 6 3 4 7 2 8 10 , 6 1 2 3 4 5 11 -> 6 3 4 7 2 8 11 , 6 1 2 3 4 5 12 -> 6 3 4 7 2 8 12 , 6 1 2 3 4 5 13 -> 6 3 4 7 2 8 13 , 6 1 2 3 4 5 14 -> 6 3 4 7 2 8 14 , 16 1 2 3 4 5 6 -> 16 3 4 7 2 8 6 , 16 1 2 3 4 5 9 -> 16 3 4 7 2 8 9 , 16 1 2 3 4 5 10 -> 16 3 4 7 2 8 10 , 16 1 2 3 4 5 11 -> 16 3 4 7 2 8 11 , 16 1 2 3 4 5 12 -> 16 3 4 7 2 8 12 , 16 1 2 3 4 5 13 -> 16 3 4 7 2 8 13 , 16 1 2 3 4 5 14 -> 16 3 4 7 2 8 14 , 17 1 2 3 4 5 6 -> 17 3 4 7 2 8 6 , 17 1 2 3 4 5 9 -> 17 3 4 7 2 8 9 , 17 1 2 3 4 5 10 -> 17 3 4 7 2 8 10 , 17 1 2 3 4 5 11 -> 17 3 4 7 2 8 11 , 17 1 2 3 4 5 12 -> 17 3 4 7 2 8 12 ,
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