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SRS Standard pair #487087703
details
property
value
status
complete
benchmark
259405.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
MultumNonMulta 20 June 2020 20G sparse
configuration
default
runtime (wallclock)
18.1248 seconds
cpu usage
70.0183
user time
66.3818
system time
3.63647
max virtual memory
2.5850396E7
max residence set size
1.286852E7
stage attributes
key
value
starexec-result
YES
output
YES After renaming modulo { 0->0, 1->1 }, it remains to prove termination of the 32-rule system { 0 0 1 0 1 1 0 0 0 0 1 0 1 1 0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 1 1 1 1 1 1 0 0 0 1 0 0 1 1 0 1 1 1 0 -> 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 1 0 0 1 1 0 0 0 0 1 1 0 0 1 1 0 0 1 0 1 0 0 1 0 0 , 0 0 1 0 1 1 0 0 0 0 1 0 1 1 0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 1 1 1 1 1 1 0 0 0 1 0 0 1 1 0 1 1 1 1 -> 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 1 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 1 1 0 0 1 0 0 0 1 0 0 1 1 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 0 1 1 0 1 , 0 0 1 1 0 0 1 0 0 1 1 1 1 0 1 0 1 1 1 0 1 0 1 0 1 0 1 0 0 1 1 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 1 1 1 1 0 1 1 1 0 0 0 1 1 1 0 0 1 1 1 1 -> 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 1 1 0 0 1 1 1 0 1 0 0 0 1 1 1 1 0 0 0 0 1 1 , 0 0 1 1 0 0 1 0 0 1 1 1 1 0 1 0 1 1 1 0 1 0 1 0 1 0 1 0 0 1 1 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 1 1 1 1 0 1 1 1 0 0 0 1 1 1 0 0 1 1 1 1 -> 1 0 1 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 1 , 0 0 1 1 0 0 1 0 0 1 1 1 1 0 1 0 1 1 1 0 1 0 1 0 1 0 1 0 0 1 1 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 1 1 1 1 0 1 1 1 0 0 0 1 1 1 0 0 1 1 1 1 -> 0 0 1 0 1 1 0 0 0 0 1 0 1 1 0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 1 1 1 1 1 1 0 0 0 1 0 0 0 1 1 0 0 0 0 1 0 0 , 0 1 0 0 1 1 0 0 0 0 1 1 1 0 1 1 0 0 0 1 1 0 1 1 0 0 1 1 1 0 0 1 0 1 0 0 0 1 1 0 1 1 1 0 1 1 0 1 0 0 0 0 1 1 0 0 1 1 0 1 0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0 0 1 0 1 1 -> 1 0 1 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 1 1 0 1 1 0 0 0 0 1 0 1 0 0 1 1 0 1 , 0 1 0 0 1 1 0 0 0 0 1 1 1 0 1 1 0 0 0 1 1 0 1 1 0 0 1 1 1 0 0 1 0 1 0 0 0 1 1 0 1 1 1 0 1 1 0 1 0 0 0 0 1 1 0 0 1 1 0 1 0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0 1 1 1 1 0 -> 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 1 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 1 1 0 0 1 0 0 0 1 0 0 1 1 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 1 1 0 0 0 , 0 1 0 0 1 1 0 0 0 0 1 1 1 0 1 1 0 0 0 1 1 0 1 1 0 0 1 1 1 0 0 1 0 1 0 0 0 1 1 0 1 1 1 0 1 1 0 1 0 0 0 0 1 1 0 0 1 1 0 1 0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 1 1 0 1 0 0 -> 0 0 1 0 1 1 0 0 0 0 1 0 1 1 0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 1 1 1 1 1 1 0 0 0 1 0 0 0 1 1 0 0 0 1 1 0 0 , 0 1 0 0 1 1 0 0 0 0 1 1 1 0 1 1 0 0 0 1 1 0 1 1 0 0 1 1 1 0 0 1 0 1 0 0 0 1 1 0 1 1 1 0 1 1 0 1 0 0 0 0 1 1 0 0 1 1 0 1 1 1 0 0 0 1 1 0 0 1 1 0 1 1 1 0 0 1 0 0 1 -> 0 1 0 0 1 1 0 0 1 1 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 1 0 0 0 0 0 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 0 1 1 0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 0 0 1 1 1 1 1 1 1 1 , 0 1 0 0 1 1 0 0 0 0 1 1 1 0 1 1 0 0 0 1 1 0 1 1 0 0 1 1 1 0 0 1 0 1 0 0 0 1 1 0 1 1 1 0 1 1 0 1 0 0 0 0 1 1 0 0 1 1 0 1 1 1 0 0 0 1 1 0 0 1 1 0 1 1 1 0 0 1 0 0 1 -> 1 1 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 1 1 1 0 1 0 1 1 1 0 1 0 0 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 1 0 0 0 1 1 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 , 0 1 0 0 1 1 0 0 0 0 1 1 1 0 1 1 0 0 0 1 1 0 1 1 0 0 1 1 1 0 0 1 0 1 0 0 0 1 1 0 1 1 1 0 1 1 0 1 0 0 0 0 1 1 0 0 1 1 0 1 1 1 0 0 0 1 1 0 0 1 1 0 1 1 1 0 0 1 0 1 1 -> 0 1 0 0 1 1 0 0 1 1 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 1 0 0 0 0 0 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 0 1 1 0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 0 0 1 1 1 1 1 1 1 1 , 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 1 1 0 0 0 1 0 0 0 0 -> 0 1 0 0 1 1 0 0 1 1 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 1 0 0 0 0 0 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 0 1 1 0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 0 0 1 1 1 1 1 1 1 1 , 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 1 1 0 0 0 1 0 0 0 0 -> 1 0 1 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 , 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 1 1 0 0 0 1 0 1 1 0 -> 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 0 1 1 0 , 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 0 0 0 -> 1 1 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 1 1 1 0 1 0 1 1 1 0 1 0 0 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 1 0 0 0 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 1 1 , 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1 -> 0 0 1 0 1 1 0 0 0 0 1 0 1 1 0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 0 0 1 1 1 1 1 , 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1 -> 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 1 0 0 0 1 , 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 1 1 -> 1 0 1 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 , 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 0 1 -> 1 1 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 1 1 1 0 1 0 1 1 1 0 1 0 0 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 1 0 0 0 1 1 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 , 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 1 0 -> 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 1 0 0 0 1 , 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 1 0 0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 0 0 1 0 1 1 1 0 1 1 1 0 -> 1 0 1 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 , 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 1 0 0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 0 0 1 0 1 1 1 0 1 1 1 0 -> 1 0 1 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 , 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 1 0 0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 1 1 0 0 -> 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 1 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 1 1 0 0 1 0 0 0 1 0 0 1 1 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 1 1 0 0 0 , 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 1 1 0 0 1 1 1 0 1 0 0 0 1 1 1 1 0 0 0 1 1 -> 1 0 1 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 , 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 1 1 0 0 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 0 -> 1 0 1 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 , 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 1 1 0 0 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 0 -> 1 0 1 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 1 , 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 1 1 0 0 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 1 -> 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 1 1 0 0 1 1 1 0 1 0 0 0 1 1 1 1 0 0 0 0 1 1 , 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 1 1 0 0 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 1 -> 1 1 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 1 1 1 0 1 0 1 1 1 0 1 0 0 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 1 0 0 0 1 1 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 , 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 1 1 0 0 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 1 -> 1 0 1 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 , 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 1 1 0 0 1 1 1 1 0 0 0 1 0 0 0 1 0 1 0 1 0 -> 0 1 0 0 1 1 0 0 1 1 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 1 0 0 0 0 0 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 0 1 1 0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 0 0 1 1 1 1 1 1 1 1 , 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 0 0 1 0 0 1 0 0 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 1 1 0 1 1 0 0 0 0 -> 1 0 1 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 , 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 0 0 1 0 0 1 0 0 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 1 1 0 1 1 0 0 0 0 -> 1 0 1 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 } Applying sparse 2-tiling [Hofbauer/Geser/Waldmann, FSCD 2019]. After renaming modulo { (0,0)->0, (0,1)->1, (1,0)->2, (1,1)->3, (0,3)->4, (2,0)->5, (1,3)->6, (2,1)->7 }, it remains to prove termination of the 288-rule system { 0 0 1 2 1 3 2 0 0 0 1 2 1 3 2 1 2 0 0 1 3 3 3 2 1 2 1 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 2 0 1 3 2 0 0 0 0 0 1 3 3 2 1 2 1 3 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 3 2 1 3 3 2 0 -> 0 1 2 0 1 3 2 0 1 3 2 0 0 1 2 0 0 1 2 0 1 2 1 3 3 3 2 1 2 0 1 3 2 0 0 1 2 0 1 3 3 2 0 0 0 1 2 1 3 2 1 3 2 1 3 2 1 2 0 1 2 0 1 3 2 0 0 0 1 3 2 0 1 3 2 0 1 2 1 2 0 1 2 0 0 , 0 0 1 2 1 3 2 0 0 0 1 2 1 3 2 1 2 0 0 1 3 3 3 2 1 2 1 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 2 0 1 3 2 0 0 0 0 0 1 3 3 2 1 2 1 3 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 3 2 1 3 3 2 1 -> 0 1 2 0 1 3 2 0 1 3 2 0 0 1 2 0 0 1 2 0 1 2 1 3 3 3 2 1 2 0 1 3 2 0 0 1 2 0 1 3 3 2 0 0 0 1 2 1 3 2 1 3 2 1 3 2 1 2 0 1 2 0 1 3 2 0 0 0 1 3 2 0 1 3 2 0 1 2 1 2 0 1 2 0 1 , 0 0 1 2 1 3 2 0 0 0 1 2 1 3 2 1 2 0 0 1 3 3 3 2 1 2 1 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 2 0 1 3 2 0 0 0 0 0 1 3 3 2 1 2 1 3 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 3 2 1 3 3 2 4 -> 0 1 2 0 1 3 2 0 1 3 2 0 0 1 2 0 0 1 2 0 1 2 1 3 3 3 2 1 2 0 1 3 2 0 0 1 2 0 1 3 3 2 0 0 0 1 2 1 3 2 1 3 2 1 3 2 1 2 0 1 2 0 1 3 2 0 0 0 1 3 2 0 1 3 2 0 1 2 1 2 0 1 2 0 4 , 2 0 1 2 1 3 2 0 0 0 1 2 1 3 2 1 2 0 0 1 3 3 3 2 1 2 1 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 2 0 1 3 2 0 0 0 0 0 1 3 3 2 1 2 1 3 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 3 2 1 3 3 2 0 -> 2 1 2 0 1 3 2 0 1 3 2 0 0 1 2 0 0 1 2 0 1 2 1 3 3 3 2 1 2 0 1 3 2 0 0 1 2 0 1 3 3 2 0 0 0 1 2 1 3 2 1 3 2 1 3 2 1 2 0 1 2 0 1 3 2 0 0 0 1 3 2 0 1 3 2 0 1 2 1 2 0 1 2 0 0 , 2 0 1 2 1 3 2 0 0 0 1 2 1 3 2 1 2 0 0 1 3 3 3 2 1 2 1 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 2 0 1 3 2 0 0 0 0 0 1 3 3 2 1 2 1 3 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 3 2 1 3 3 2 1 -> 2 1 2 0 1 3 2 0 1 3 2 0 0 1 2 0 0 1 2 0 1 2 1 3 3 3 2 1 2 0 1 3 2 0 0 1 2 0 1 3 3 2 0 0 0 1 2 1 3 2 1 3 2 1 3 2 1 2 0 1 2 0 1 3 2 0 0 0 1 3 2 0 1 3 2 0 1 2 1 2 0 1 2 0 1 , 2 0 1 2 1 3 2 0 0 0 1 2 1 3 2 1 2 0 0 1 3 3 3 2 1 2 1 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 2 0 1 3 2 0 0 0 0 0 1 3 3 2 1 2 1 3 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 3 2 1 3 3 2 4 -> 2 1 2 0 1 3 2 0 1 3 2 0 0 1 2 0 0 1 2 0 1 2 1 3 3 3 2 1 2 0 1 3 2 0 0 1 2 0 1 3 3 2 0 0 0 1 2 1 3 2 1 3 2 1 3 2 1 2 0 1 2 0 1 3 2 0 0 0 1 3 2 0 1 3 2 0 1 2 1 2 0 1 2 0 4 , 5 0 1 2 1 3 2 0 0 0 1 2 1 3 2 1 2 0 0 1 3 3 3 2 1 2 1 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 2 0 1 3 2 0 0 0 0 0 1 3 3 2 1 2 1 3 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 3 2 1 3 3 2 0 -> 5 1 2 0 1 3 2 0 1 3 2 0 0 1 2 0 0 1 2 0 1 2 1 3 3 3 2 1 2 0 1 3 2 0 0 1 2 0 1 3 3 2 0 0 0 1 2 1 3 2 1 3 2 1 3 2 1 2 0 1 2 0 1 3 2 0 0 0 1 3 2 0 1 3 2 0 1 2 1 2 0 1 2 0 0 , 5 0 1 2 1 3 2 0 0 0 1 2 1 3 2 1 2 0 0 1 3 3 3 2 1 2 1 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 2 0 1 3 2 0 0 0 0 0 1 3 3 2 1 2 1 3 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 3 2 1 3 3 2 1 -> 5 1 2 0 1 3 2 0 1 3 2 0 0 1 2 0 0 1 2 0 1 2 1 3 3 3 2 1 2 0 1 3 2 0 0 1 2 0 1 3 3 2 0 0 0 1 2 1 3 2 1 3 2 1 3 2 1 2 0 1 2 0 1 3 2 0 0 0 1 3 2 0 1 3 2 0 1 2 1 2 0 1 2 0 1 , 5 0 1 2 1 3 2 0 0 0 1 2 1 3 2 1 2 0 0 1 3 3 3 2 1 2 1 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 2 0 1 3 2 0 0 0 0 0 1 3 3 2 1 2 1 3 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 3 2 1 3 3 2 4 -> 5 1 2 0 1 3 2 0 1 3 2 0 0 1 2 0 0 1 2 0 1 2 1 3 3 3 2 1 2 0 1 3 2 0 0 1 2 0 1 3 3 2 0 0 0 1 2 1 3 2 1 3 2 1 3 2 1 2 0 1 2 0 1 3 2 0 0 0 1 3 2 0 1 3 2 0 1 2 1 2 0 1 2 0 4 , 0 0 1 2 1 3 2 0 0 0 1 2 1 3 2 1 2 0 0 1 3 3 3 2 1 2 1 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 2 0 1 3 2 0 0 0 0 0 1 3 3 2 1 2 1 3 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 3 2 1 3 3 3 2 -> 0 0 0 0 0 0 0 1 3 3 3 3 2 1 2 0 1 3 2 1 2 0 0 1 2 0 1 3 3 2 0 0 1 2 1 2 1 3 2 0 1 2 0 0 1 2 0 1 3 2 0 1 3 2 1 2 0 1 2 0 1 3 2 0 1 2 0 0 0 1 3 2 0 0 0 0 1 2 1 3 2 1 2 , 0 0 1 2 1 3 2 0 0 0 1 2 1 3 2 1 2 0 0 1 3 3 3 2 1 2 1 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 2 0 1 3 2 0 0 0 0 0 1 3 3 2 1 2 1 3 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 3 2 1 3 3 3 3 -> 0 0 0 0 0 0 0 1 3 3 3 3 2 1 2 0 1 3 2 1 2 0 0 1 2 0 1 3 3 2 0 0 1 2 1 2 1 3 2 0 1 2 0 0 1 2 0 1 3 2 0 1 3 2 1 2 0 1 2 0 1 3 2 0 1 2 0 0 0 1 3 2 0 0 0 0 1 2 1 3 2 1 3 , 0 0 1 2 1 3 2 0 0 0 1 2 1 3 2 1 2 0 0 1 3 3 3 2 1 2 1 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 2 0 1 3 2 0 0 0 0 0 1 3 3 2 1 2 1 3 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 3 2 1 3 3 3 6 -> 0 0 0 0 0 0 0 1 3 3 3 3 2 1 2 0 1 3 2 1 2 0 0 1 2 0 1 3 3 2 0 0 1 2 1 2 1 3 2 0 1 2 0 0 1 2 0 1 3 2 0 1 3 2 1 2 0 1 2 0 1 3 2 0 1 2 0 0 0 1 3 2 0 0 0 0 1 2 1 3 2 1 6 , 2 0 1 2 1 3 2 0 0 0 1 2 1 3 2 1 2 0 0 1 3 3 3 2 1 2 1 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 2 0 1 3 2 0 0 0 0 0 1 3 3 2 1 2 1 3 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 3 2 1 3 3 3 2 -> 2 0 0 0 0 0 0 1 3 3 3 3 2 1 2 0 1 3 2 1 2 0 0 1 2 0 1 3 3 2 0 0 1 2 1 2 1 3 2 0 1 2 0 0 1 2 0 1 3 2 0 1 3 2 1 2 0 1 2 0 1 3 2 0 1 2 0 0 0 1 3 2 0 0 0 0 1 2 1 3 2 1 2 , 2 0 1 2 1 3 2 0 0 0 1 2 1 3 2 1 2 0 0 1 3 3 3 2 1 2 1 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 2 0 1 3 2 0 0 0 0 0 1 3 3 2 1 2 1 3 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 3 2 1 3 3 3 3 -> 2 0 0 0 0 0 0 1 3 3 3 3 2 1 2 0 1 3 2 1 2 0 0 1 2 0 1 3 3 2 0 0 1 2 1 2 1 3 2 0 1 2 0 0 1 2 0 1 3 2 0 1 3 2 1 2 0 1 2 0 1 3 2 0 1 2 0 0 0 1 3 2 0 0 0 0 1 2 1 3 2 1 3 , 2 0 1 2 1 3 2 0 0 0 1 2 1 3 2 1 2 0 0 1 3 3 3 2 1 2 1 2 0 1 3 3 3 3 3 2 0 0 1 2 0 1 2 0 1 3 2 0 0 0 0 0 1 3 3 2 1 2 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2 0 0 0 1 3 3 2 1 3 2 0 0 1 3 2 1 3 2 0 1 3 3 2 0 1 2 1 2 0 0 1 3 2 1 3 3 2 1 3 2 1 2 0 0 0 1 3 2 0 1 3 2 1 2 1 3 2 1 2 0 1 3 2 0 1 2 1 3 2 1 3 3 3 2 4 -> 0 0 0 0 0 0 0 1 3 3 3 3 2 1 2 0 1 3 2 1 2 0 0 1 2 0 1 3 3 2 0 0 1 2 1 2 1 3 2 0 1 2 0 0 1 2 0 1 3 2 0 1 3 2 1 2 0 1 2 0 1 3 2 0 1 2 0 0 0 1 3 2 0 0 0 0 1 2 1 2 1 3 2 0 0 4 , 2 1 2 0 1 3 2 0 0 0 1 3 3 2 1 3 2 0 0 1 3 2 1 3 2 0 1 3 3 2 0 1 2 1 2 0 0 1 3 2 1 3 3 2 1 3 2 1 2 0 0 0 1 3 2 0 1 3 2 1 2 1 3 2 1 2 0 1 3 2 0 1 2 1 3 2 1 3 3 3 2 0 -> 2 0 0 0 0 0 0 1 3 3 3 3 2 1 2 0 1 3 2 1 2 0 0 1 2 0 1 3 3 2 0 0 1 2 1 2 1 3 2 0 1 2 0 0 1 2 0 1 3 2 0 1 3 2 1 2 0 1 2 0 1 3 2 0 1 2 0 0 0 1 3 2 0 0 0 0 1 2 1 2 1 3 2 0 0 0 ,
popout
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