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SRS Standard pair #487087049
details
property
value
status
complete
benchmark
26123.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
ICFP_2010
run statistics
property
value
solver
MultumNonMulta 20 June 2020 20G sparse
configuration
default
runtime (wallclock)
1.4712 seconds
cpu usage
3.9769
user time
3.5185
system time
0.458393
max virtual memory
2.5654204E7
max residence set size
647004.0
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 6-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 , 0 1 2 1 -> 1 2 1 1 0 1 2 0 1 2 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 0 1 2 0 1 2 } The system was reversed. After renaming modulo { 1->0, 2->1, 0->2 }, it remains to prove termination of the 6-rule system { 0 1 0 2 -> 1 0 2 1 0 2 0 0 1 0 , 0 1 0 2 -> 1 0 2 1 0 2 1 0 2 0 0 1 0 , 0 1 0 2 -> 1 0 2 1 0 2 1 0 2 1 0 2 0 0 1 0 , 0 1 0 2 -> 1 0 2 1 0 2 1 0 2 1 0 2 1 0 2 0 0 1 0 , 0 1 0 2 -> 1 0 2 1 0 2 1 0 2 1 0 2 1 0 2 1 0 2 0 0 1 0 , 0 1 0 2 -> 1 0 2 1 0 2 1 0 2 1 0 2 1 0 2 1 0 2 1 0 2 0 0 1 0 } Applying sparse 2-tiling [Hofbauer/Geser/Waldmann, FSCD 2019]. After renaming modulo { (0,0)->0, (0,1)->1, (1,0)->2, (0,2)->3, (2,0)->4, (2,1)->5, (1,1)->6 }, it remains to prove termination of the 36-rule system { 0 1 2 3 4 -> 1 2 3 5 2 3 4 0 1 2 0 , 0 1 2 3 5 -> 1 2 3 5 2 3 4 0 1 2 1 , 2 1 2 3 4 -> 6 2 3 5 2 3 4 0 1 2 0 , 2 1 2 3 5 -> 6 2 3 5 2 3 4 0 1 2 1 , 4 1 2 3 4 -> 5 2 3 5 2 3 4 0 1 2 0 , 4 1 2 3 5 -> 5 2 3 5 2 3 4 0 1 2 1 , 0 1 2 3 4 -> 1 2 3 5 2 3 5 2 3 4 0 1 2 0 , 0 1 2 3 5 -> 1 2 3 5 2 3 5 2 3 4 0 1 2 1 , 2 1 2 3 4 -> 6 2 3 5 2 3 5 2 3 4 0 1 2 0 , 2 1 2 3 5 -> 6 2 3 5 2 3 5 2 3 4 0 1 2 1 , 4 1 2 3 4 -> 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 4 1 2 3 5 -> 5 2 3 5 2 3 5 2 3 4 0 1 2 1 , 0 1 2 3 4 -> 1 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 0 1 2 3 5 -> 1 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 1 , 2 1 2 3 4 -> 6 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 2 1 2 3 5 -> 6 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 1 , 4 1 2 3 4 -> 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 4 1 2 3 5 -> 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 1 , 0 1 2 3 4 -> 1 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 0 1 2 3 5 -> 1 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 1 , 2 1 2 3 4 -> 6 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 2 1 2 3 5 -> 6 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 1 , 4 1 2 3 4 -> 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 4 1 2 3 5 -> 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 1 , 0 1 2 3 4 -> 1 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 0 1 2 3 5 -> 1 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 1 , 2 1 2 3 4 -> 6 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 2 1 2 3 5 -> 6 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 1 , 4 1 2 3 4 -> 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 4 1 2 3 5 -> 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 1 , 0 1 2 3 4 -> 1 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 0 1 2 3 5 -> 1 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 1 , 2 1 2 3 4 -> 6 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 2 1 2 3 5 -> 6 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 1 , 4 1 2 3 4 -> 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 4 1 2 3 5 -> 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 1 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 6: 0 is interpreted by / \ | 1 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 0 0 0 0 | | 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 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 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 | | 0 1 0 0 0 0 | | 0 0 0 0 0 0 | | 0 0 0 0 1 0 | | 0 0 0 0 0 0 | | 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 | | 0 1 0 0 0 0 |
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