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SRS Standard pair #516971945
details
property
value
status
complete
benchmark
128550.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n117.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
5.50978302956 seconds
cpu usage
19.771588263
max memory
4.144050176E9
stage attributes
key
value
output-size
392649
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES After renaming modulo the bijection { 0 ↦ 0, 3 ↦ 1, 1 ↦ 2, 2 ↦ 3 }, it remains to prove termination of the 80-rule system { 0 0 0 0 0 1 0 0 2 1 2 1 2 3 1 2 1 2 ⟶ 0 0 0 0 0 1 2 1 1 3 2 2 1 0 2 0 2 1 , 0 0 0 2 2 2 1 2 3 2 3 0 1 0 3 1 2 3 ⟶ 0 1 3 2 0 0 1 3 2 0 2 3 2 1 2 3 0 2 , 0 0 0 2 3 1 2 0 1 3 1 0 0 1 1 2 3 3 ⟶ 0 1 1 2 0 3 0 0 3 0 2 1 2 0 3 1 1 3 , 0 0 0 3 0 3 3 1 1 0 1 2 1 2 1 2 3 0 ⟶ 1 1 0 0 1 3 1 0 0 2 3 3 1 3 2 0 2 0 , 0 0 0 1 2 0 3 3 1 3 0 1 0 3 2 3 2 0 ⟶ 0 3 1 1 3 0 2 1 0 0 2 0 3 3 2 0 0 3 , 0 0 0 1 2 2 1 0 1 3 1 0 3 1 1 1 3 0 ⟶ 0 2 1 1 3 1 1 0 0 2 0 0 0 1 1 1 3 3 , 0 2 2 0 0 0 2 3 3 2 2 3 3 1 1 2 2 3 ⟶ 0 2 2 3 3 3 2 0 1 3 2 1 3 2 0 2 0 2 , 0 2 3 0 0 2 2 1 2 1 0 1 2 2 2 0 1 3 ⟶ 0 2 2 2 2 0 3 2 1 2 0 3 2 1 0 1 1 0 , 0 2 3 2 2 2 1 2 0 1 2 1 2 2 1 2 3 2 ⟶ 1 1 2 1 3 2 2 2 2 2 0 2 0 2 1 3 2 2 , 0 2 3 3 2 1 2 2 3 0 1 3 2 2 2 3 3 2 ⟶ 0 2 3 3 0 2 2 3 3 3 2 2 2 2 1 1 3 2 , 0 3 0 0 3 0 3 2 1 0 3 2 2 1 2 1 0 1 ⟶ 0 3 3 1 3 3 2 1 0 0 2 2 1 0 0 0 2 1 , 0 3 2 3 1 0 1 0 1 1 0 2 0 1 0 2 1 0 ⟶ 0 1 3 0 1 1 0 2 0 1 2 1 1 3 2 0 0 0 , 0 3 2 1 0 0 3 2 2 2 2 2 2 1 3 0 0 3 ⟶ 0 0 2 2 3 2 2 1 1 2 0 2 3 2 0 0 3 3 , 0 1 0 2 2 3 0 0 2 3 1 0 0 1 2 0 0 2 ⟶ 0 0 2 0 0 0 0 3 3 2 0 1 1 1 2 2 0 2 , 0 1 0 2 1 3 3 1 2 3 3 2 2 0 1 3 2 0 ⟶ 0 2 3 2 0 0 1 3 2 3 0 2 1 1 1 3 2 3 , 0 1 0 1 1 2 3 0 3 1 3 0 1 2 2 2 2 1 ⟶ 1 3 2 1 3 3 2 1 1 0 0 1 2 0 2 0 2 1 , 0 1 2 0 0 3 1 3 0 2 3 1 0 1 3 0 3 3 ⟶ 0 3 3 0 0 3 0 0 3 2 2 0 1 1 3 1 1 3 , 0 1 2 0 1 3 0 0 0 1 3 1 2 3 0 3 1 0 ⟶ 0 0 3 3 1 1 0 1 0 0 1 3 1 0 2 2 3 0 , 0 1 3 0 0 0 0 2 1 2 0 1 2 1 1 0 2 3 ⟶ 0 0 2 1 0 2 0 0 0 2 0 3 1 1 1 1 3 2 , 0 1 3 0 2 3 1 0 3 3 1 2 1 3 1 1 0 3 ⟶ 3 1 1 3 1 1 1 3 0 0 0 0 2 3 3 1 2 3 , 0 1 3 3 3 0 0 1 2 1 2 0 1 2 0 1 0 0 ⟶ 3 0 0 2 0 1 1 3 0 2 1 0 2 3 1 1 0 0 , 2 0 2 3 2 0 3 3 0 0 2 2 2 0 1 2 3 0 ⟶ 3 3 2 0 2 0 3 2 0 3 2 0 1 2 0 2 2 0 , 2 0 3 0 3 0 0 3 2 2 2 2 3 3 1 2 3 0 ⟶ 3 3 0 0 0 2 1 3 2 2 2 0 2 3 3 2 0 3 , 2 0 1 2 2 3 0 2 3 1 2 2 1 2 1 0 2 2 ⟶ 2 0 2 1 0 2 0 1 2 2 2 2 3 1 1 2 3 2 , 2 2 0 1 1 1 2 3 3 0 1 0 1 3 3 3 1 2 ⟶ 2 2 0 3 0 1 1 1 2 3 3 1 1 0 3 3 1 2 , 2 2 2 0 3 2 2 3 1 2 1 2 1 2 3 2 1 2 ⟶ 1 1 3 2 2 1 1 2 2 3 2 2 0 2 2 3 2 2 , 2 2 2 2 1 2 1 0 3 3 2 0 3 1 2 3 0 3 ⟶ 2 3 3 3 2 2 1 0 1 1 0 2 0 2 2 3 3 2 , 2 2 3 0 1 3 3 3 0 2 3 0 3 3 0 1 3 1 ⟶ 2 3 3 3 2 3 3 2 0 3 1 3 0 3 1 0 0 1 , 2 2 3 2 1 2 0 0 3 0 0 0 1 2 2 2 2 3 ⟶ 2 2 0 2 3 3 2 0 2 2 0 1 0 1 3 2 0 2 , 2 2 3 1 0 1 2 2 3 3 1 2 3 0 2 1 0 2 ⟶ 3 2 1 2 0 2 2 2 0 2 3 1 0 3 1 1 3 2 , 2 2 1 2 3 0 2 0 0 0 1 1 0 3 0 1 2 3 ⟶ 2 3 2 0 1 2 3 0 1 0 0 0 2 1 1 0 2 3 , 2 2 1 3 1 2 1 2 3 1 1 1 3 1 2 3 0 0 ⟶ 2 3 0 3 1 3 2 2 2 2 1 1 1 1 1 3 1 0 , 2 3 0 3 3 1 3 2 3 1 1 2 1 2 3 1 2 2 ⟶ 2 3 2 3 3 0 3 2 2 2 3 2 1 1 3 1 1 1 , 2 3 0 3 1 2 2 0 2 3 0 1 2 3 1 1 3 0 ⟶ 2 2 0 0 0 2 1 1 2 3 1 2 1 3 3 3 3 0 , 2 3 0 1 2 3 1 3 2 0 1 0 1 2 1 3 0 2 ⟶ 2 2 0 0 2 3 2 3 1 0 2 3 1 1 3 1 1 0 , 2 3 2 3 3 3 3 1 2 2 1 2 2 3 0 2 2 1 ⟶ 2 2 1 3 2 3 2 3 2 0 3 1 2 3 3 2 2 1 , 2 3 1 0 1 3 0 1 3 1 0 1 0 3 1 2 2 3 ⟶ 2 2 0 3 1 0 3 2 0 1 1 3 3 3 1 1 1 0 , 2 1 0 0 1 1 2 1 2 3 2 0 1 2 1 1 0 0 ⟶ 2 1 1 1 1 0 0 2 0 2 1 2 1 0 0 1 3 2 , 2 1 2 2 2 3 1 0 3 1 1 1 2 3 1 2 3 0 ⟶ 3 2 1 2 3 1 1 0 2 1 1 3 2 3 2 1 2 0 , 2 1 1 0 0 1 2 0 3 1 2 3 1 1 1 3 2 3 ⟶ 2 1 1 0 2 3 0 1 0 2 3 2 1 1 1 3 1 3 , 3 0 0 1 3 0 1 2 1 0 3 3 3 3 0 2 2 2 ⟶ 3 2 3 1 1 0 2 0 3 0 0 3 0 1 3 3 2 2 , 3 0 2 3 0 2 3 1 0 3 0 0 2 1 2 0 1 0 ⟶ 3 3 1 1 0 0 0 2 3 2 1 0 2 0 0 3 0 2 , 3 0 2 3 0 3 1 0 0 1 1 3 3 0 2 2 2 3 ⟶ 3 2 0 2 3 3 0 1 1 1 0 3 3 0 2 0 2 3 , 3 0 3 0 2 0 2 0 1 2 3 2 1 2 3 1 1 0 ⟶ 2 1 0 2 0 3 1 1 3 2 0 0 3 3 2 1 2 0 , 3 0 3 3 0 1 0 1 2 2 2 1 1 3 1 0 1 0 ⟶ 3 3 1 3 1 0 2 1 0 1 0 2 1 1 3 2 0 0 , 3 0 1 0 1 2 3 1 1 0 0 1 2 2 3 3 3 1 ⟶ 3 1 1 3 0 1 3 2 2 2 0 1 3 0 1 0 3 1 , 3 0 1 2 1 0 3 2 3 3 1 2 0 1 0 0 1 0 ⟶ 3 0 2 3 2 0 1 1 3 0 1 1 1 0 3 2 0 0 , 3 0 1 1 2 2 1 3 1 1 2 3 3 0 1 2 1 1 ⟶ 3 1 2 1 1 2 3 2 2 0 3 3 0 1 1 1 1 1 , 3 2 2 2 3 1 0 3 0 0 1 2 0 0 1 3 3 0 ⟶ 3 0 2 1 3 0 0 2 3 2 1 3 1 3 0 2 0 0 , 3 2 1 2 3 0 2 1 2 3 3 3 2 3 1 0 2 3 ⟶ 3 3 2 1 1 3 3 3 0 3 2 0 1 3 2 2 2 2 , 3 1 2 0 1 1 2 1 1 0 1 0 3 3 1 3 3 3 ⟶ 3 1 2 1 0 3 0 0 2 1 1 3 1 3 1 1 3 3 , 3 1 2 3 1 0 1 1 2 3 3 1 3 2 2 1 3 3 ⟶ 3 1 3 3 1 2 2 3 1 3 3 2 1 1 1 2 0 3 , 3 1 3 1 1 3 1 3 1 3 0 0 2 1 2 2 2 1 ⟶ 3 3 2 1 1 1 2 1 1 3 3 1 2 0 3 0 2 1 , 3 1 1 0 1 2 0 1 2 3 3 3 2 0 1 0 2 0 ⟶ 3 1 0 1 2 0 1 3 1 1 3 2 0 2 3 0 2 0 , 3 1 1 2 3 1 2 3 0 2 0 3 0 3 2 2 2 3 ⟶ 3 2 1 1 2 3 2 0 3 2 3 0 1 3 2 0 2 3 , 1 0 0 0 1 0 1 1 0 0 1 1 3 2 1 0 3 1 ⟶ 1 1 0 1 1 1 1 0 0 2 0 3 1 0 0 0 3 1 , 1 0 0 1 3 3 2 0 3 1 0 2 0 3 2 1 2 2 ⟶ 1 3 2 2 2 2 0 0 3 1 1 3 2 0 0 3 1 0 , 1 0 2 2 0 1 3 1 0 0 3 1 2 1 2 2 3 3 ⟶ 3 2 2 1 1 3 2 1 0 0 3 1 2 0 0 1 3 2 , 1 0 2 3 0 3 1 1 2 2 1 2 3 0 1 1 0 2 ⟶ 1 0 2 2 1 2 0 2 2 3 1 0 1 1 1 3 3 0 , 1 0 2 3 0 1 0 2 0 3 0 2 3 1 0 1 2 0 ⟶ 0 0 3 2 0 2 1 1 1 1 0 3 2 0 2 3 0 0 , 1 0 3 2 3 3 1 2 2 1 2 2 0 1 0 1 0 2 ⟶ 1 2 2 3 1 3 2 1 0 3 2 1 1 0 2 0 2 0 , 1 0 3 3 1 0 0 3 0 1 0 3 3 2 1 2 2 3 ⟶ 1 3 3 0 0 0 2 1 1 1 3 0 3 0 2 2 3 3 , 1 0 3 1 0 2 1 0 2 2 2 1 0 3 1 3 3 0 ⟶ 1 0 2 0 3 1 3 1 3 0 1 1 2 0 3 2 2 0 , 1 0 1 0 3 3 1 3 0 0 3 2 3 1 2 3 2 3 ⟶ 0 3 3 1 3 0 3 0 1 3 2 0 2 1 1 3 2 3 , 1 0 1 3 2 1 0 0 3 1 0 2 3 0 1 3 3 0 ⟶ 1 0 3 0 0 3 2 1 1 1 2 1 0 0 3 3 3 0 , 1 2 2 0 1 3 1 2 1 2 2 1 3 3 1 2 1 3 ⟶ 1 2 3 1 3 1 3 0 2 1 1 2 1 1 3 2 2 2 , 1 2 2 2 2 1 2 3 2 1 0 0 0 1 0 2 1 0 ⟶ 0 2 2 0 3 1 1 1 0 2 2 2 2 0 1 1 2 0 , 1 2 2 1 0 1 0 2 2 2 2 1 2 3 0 0 2 1 ⟶ 0 2 2 2 2 3 1 1 0 2 2 0 0 2 1 1 2 1 , 1 2 2 1 0 1 1 2 1 2 2 2 1 2 0 1 0 0 ⟶ 0 1 1 1 1 1 1 0 2 0 2 2 2 1 2 2 0 2 , 1 2 3 2 3 0 3 1 2 3 3 0 3 0 1 3 2 0 ⟶ 0 1 0 3 2 2 0 3 3 3 3 2 1 1 2 0 3 3 , 1 2 3 3 1 0 0 1 2 3 1 2 3 1 1 3 2 0 ⟶ 1 1 1 3 2 3 2 1 0 0 2 1 2 0 3 3 1 3 , 1 2 3 1 3 3 0 1 2 3 1 3 1 2 1 2 1 1 ⟶ 1 3 0 2 3 2 2 2 1 3 3 3 1 1 1 1 1 1 , 1 2 1 2 3 0 3 0 1 2 1 3 3 2 0 1 1 0 ⟶ 1 2 1 1 3 1 0 0 1 0 2 2 0 2 1 3 3 3 , 1 3 0 0 1 3 1 3 2 1 0 1 1 0 1 0 2 0 ⟶ 1 3 3 1 2 2 1 0 3 1 1 1 1 0 0 0 0 0 , 1 3 0 1 2 0 3 3 3 2 3 0 1 2 2 2 3 1 ⟶ 0 3 1 2 1 1 3 0 0 2 2 3 2 3 3 2 3 1 , 1 3 2 3 3 0 1 1 0 3 3 0 0 3 1 2 0 0 ⟶ 0 3 3 1 1 1 1 3 3 2 0 3 2 3 0 0 0 0 , 1 3 1 0 2 3 0 2 0 1 1 0 0 2 2 1 3 0 ⟶ 1 3 1 3 0 0 0 3 1 1 0 2 2 1 2 0 2 0 , 1 3 1 0 1 3 3 3 1 2 3 1 3 1 1 2 3 2 ⟶ 1 2 1 3 3 2 3 3 1 1 1 3 1 1 0 2 3 3 , 1 1 2 3 0 3 3 1 2 3 0 1 3 2 0 2 2 3 ⟶ 1 2 0 2 1 3 0 1 3 3 3 1 3 2 3 2 0 2 , 1 1 3 0 1 3 1 0 3 1 1 2 2 2 1 3 3 2 ⟶ 1 1 1 1 3 1 0 2 0 3 3 1 1 2 3 3 2 2 } Applying sparse tiling TRFC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { (0,0) ↦ 0, (0,1) ↦ 1, (1,0) ↦ 2, (0,2) ↦ 3, (2,1) ↦ 4, (1,2) ↦ 5, (2,3) ↦ 6, (3,1) ↦ 7, (2,0) ↦ 8, (1,1) ↦ 9, (1,3) ↦ 10, (3,2) ↦ 11, (2,2) ↦ 12, (2,5) ↦ 13, (1,5) ↦ 14, (3,0) ↦ 15, (4,0) ↦ 16, (0,3) ↦ 17, (3,3) ↦ 18, (3,5) ↦ 19, (0,5) ↦ 20, (4,1) ↦ 21, (4,3) ↦ 22, (4,2) ↦ 23 }, it remains to prove termination of the 2000-rule system { 0 0 0 0 0 1 2 0 3 4 5 4 5 6 7 5 4 5 8 ⟶ 0 0 0 0 0 1 5 4 9 10 11 12 4 2 3 8 3 4 2 , 0 0 0 0 0 1 2 0 3 4 5 4 5 6 7 5 4 5 4 ⟶ 0 0 0 0 0 1 5 4 9 10 11 12 4 2 3 8 3 4 9 , 0 0 0 0 0 1 2 0 3 4 5 4 5 6 7 5 4 5 12 ⟶ 0 0 0 0 0 1 5 4 9 10 11 12 4 2 3 8 3 4 5 , 0 0 0 0 0 1 2 0 3 4 5 4 5 6 7 5 4 5 6 ⟶ 0 0 0 0 0 1 5 4 9 10 11 12 4 2 3 8 3 4 10 , 0 0 0 0 0 1 2 0 3 4 5 4 5 6 7 5 4 5 13 ⟶ 0 0 0 0 0 1 5 4 9 10 11 12 4 2 3 8 3 4 14 ,
popout
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