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SRS Standard pair #516971087
details
property
value
status
complete
benchmark
142146.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n032.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
3.96437907219 seconds
cpu usage
12.075392685
max memory
3.79783168E9
stage attributes
key
value
output-size
114424
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES After renaming modulo the bijection { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2 }, it remains to prove termination of the 72-rule system { 0 0 0 0 1 2 1 2 2 1 1 2 0 ⟶ 0 0 0 0 1 2 2 2 2 2 2 2 2 2 1 2 0 , 0 0 0 2 1 0 2 1 1 2 0 2 1 ⟶ 0 0 0 1 0 1 2 2 2 2 2 2 2 2 1 2 2 , 0 0 0 2 2 1 0 2 2 0 1 1 0 ⟶ 0 1 2 0 0 0 0 0 0 0 0 0 0 0 2 1 1 , 0 0 1 0 1 0 0 2 0 2 1 0 1 ⟶ 0 0 0 0 0 1 2 1 0 0 0 0 1 2 2 2 0 , 0 0 1 1 1 0 2 1 2 0 2 1 2 ⟶ 0 0 0 1 0 0 0 0 0 1 2 2 0 2 1 2 1 , 0 0 2 0 1 1 0 2 1 1 0 2 2 ⟶ 0 0 0 2 0 2 2 2 2 2 2 1 0 2 2 0 2 , 0 0 2 1 1 2 1 0 2 2 1 0 0 ⟶ 1 0 0 0 0 0 1 2 2 2 0 2 2 2 2 2 0 , 0 0 2 2 0 0 2 2 1 0 2 0 0 ⟶ 2 0 1 0 0 0 0 0 0 0 0 0 1 2 2 0 0 , 0 1 0 0 1 1 1 1 2 1 0 1 1 ⟶ 0 1 0 1 1 0 0 0 2 2 0 2 2 2 2 0 0 , 0 1 0 1 0 1 1 1 1 0 0 1 2 ⟶ 0 0 2 2 2 2 2 0 2 1 0 0 0 1 2 2 2 , 0 1 0 1 1 0 2 0 2 2 1 0 2 ⟶ 0 2 2 0 2 2 2 2 0 2 2 2 2 0 2 2 2 , 0 1 0 1 1 1 2 2 2 1 1 0 2 ⟶ 0 0 1 0 0 0 0 2 1 0 0 0 0 0 0 1 0 , 0 1 1 0 1 2 2 0 1 1 0 1 0 ⟶ 0 0 0 0 0 0 1 2 2 1 0 0 0 1 2 0 0 , 0 1 1 0 2 1 0 0 1 2 1 1 2 ⟶ 1 0 0 1 0 1 2 0 2 2 2 2 2 2 2 2 2 , 0 1 1 2 2 2 1 1 2 2 2 2 1 ⟶ 1 2 2 2 2 0 2 2 2 0 2 2 2 2 2 0 2 , 0 1 2 0 0 1 0 0 1 2 1 2 1 ⟶ 0 0 1 2 0 2 2 2 2 2 2 2 0 1 0 0 2 , 0 1 2 0 1 2 2 2 1 1 2 0 2 ⟶ 0 0 0 0 0 0 0 0 0 1 2 0 2 0 0 2 2 , 0 1 2 2 0 2 0 2 1 0 1 1 1 ⟶ 0 0 1 2 2 0 2 0 0 0 0 0 0 0 0 0 1 , 0 2 0 1 0 2 2 1 0 0 2 2 0 ⟶ 0 0 0 0 1 2 0 0 0 0 0 0 0 0 1 2 0 , 0 2 0 1 1 0 2 2 1 0 2 2 0 ⟶ 2 0 0 0 2 2 2 2 2 2 2 2 1 0 0 0 1 , 0 2 0 1 1 1 2 1 0 2 0 1 1 ⟶ 0 2 0 2 2 2 0 1 0 0 1 0 0 0 0 1 0 , 0 2 1 0 1 2 0 1 0 0 0 1 1 ⟶ 2 1 2 2 2 2 2 2 2 2 0 2 2 0 2 1 0 , 0 2 1 0 2 1 2 2 2 1 0 0 2 ⟶ 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 , 0 2 1 2 1 2 2 0 2 0 1 1 0 ⟶ 2 0 1 0 0 0 1 2 0 0 0 0 0 0 0 2 0 , 1 0 0 0 1 1 1 1 0 1 0 0 1 ⟶ 2 2 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 , 1 0 0 1 0 2 1 2 1 0 1 2 0 ⟶ 0 0 2 0 0 0 0 0 1 0 0 0 0 0 2 2 0 , 1 0 0 2 0 0 2 2 1 2 1 1 1 ⟶ 0 1 0 2 1 0 0 0 0 0 0 1 2 0 2 0 0 , 1 0 0 2 0 1 2 2 1 0 0 1 2 ⟶ 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 , 1 0 0 2 1 1 0 1 2 0 0 2 1 ⟶ 1 0 0 2 0 0 0 1 2 2 2 0 2 2 2 0 1 , 1 0 0 2 2 0 0 1 1 0 2 1 1 ⟶ 1 2 0 2 2 2 2 2 2 0 2 2 0 2 0 0 1 , 1 0 1 2 1 2 0 2 0 1 2 1 0 ⟶ 2 0 0 1 0 0 0 0 0 1 2 2 2 2 1 2 0 , 1 0 2 0 1 1 1 0 0 0 1 0 1 ⟶ 1 0 0 0 0 1 0 0 0 0 0 1 2 2 1 2 0 , 1 0 2 0 2 0 1 0 1 1 1 1 1 ⟶ 1 1 0 2 2 2 2 2 2 0 2 0 2 1 0 0 1 , 1 0 2 1 1 0 0 2 1 0 2 0 1 ⟶ 0 1 0 0 0 0 0 0 0 0 1 1 2 2 1 1 1 , 1 0 2 1 2 1 0 1 0 0 2 1 0 ⟶ 2 1 0 0 0 0 0 1 2 2 2 1 0 0 2 0 0 , 1 0 2 1 2 1 1 1 0 2 0 1 2 ⟶ 1 1 0 0 0 0 1 0 0 0 0 2 0 0 2 0 2 , 1 0 2 1 2 2 0 0 0 1 2 2 0 ⟶ 0 0 2 2 2 2 2 2 2 2 2 2 2 0 1 0 2 , 1 1 0 0 1 0 1 1 2 1 0 1 2 ⟶ 1 0 0 0 0 0 0 1 2 2 0 0 1 0 2 0 2 , 1 1 0 1 1 0 2 2 1 0 2 0 0 ⟶ 0 1 0 0 0 0 1 2 2 2 2 1 2 0 0 0 1 , 1 1 0 2 0 1 0 2 1 0 2 1 2 ⟶ 1 2 2 2 2 2 2 1 1 2 2 2 2 2 2 1 2 , 1 1 0 2 0 1 1 0 0 2 2 1 2 ⟶ 0 2 1 0 0 0 0 0 1 2 2 0 0 0 0 0 2 , 1 1 1 0 0 0 1 1 0 1 1 0 2 ⟶ 0 0 0 2 2 2 2 2 0 2 2 0 2 2 2 1 2 , 1 1 1 0 0 2 0 2 1 0 2 0 2 ⟶ 1 0 2 0 1 2 2 2 2 0 2 2 0 2 2 2 2 , 1 1 1 2 2 2 2 1 0 0 2 1 2 ⟶ 0 0 0 0 0 0 1 0 0 0 0 1 2 2 1 1 2 , 1 1 2 0 2 0 2 0 1 0 0 2 0 ⟶ 2 0 1 0 0 0 0 1 2 2 2 0 2 2 2 2 1 , 1 1 2 1 0 0 0 1 0 2 0 2 2 ⟶ 1 0 2 1 0 0 0 0 0 0 0 1 2 2 2 2 2 , 1 1 2 2 0 0 2 0 1 1 1 1 0 ⟶ 2 0 0 0 0 1 2 1 0 1 2 2 2 2 1 0 0 , 1 2 0 0 1 1 2 2 1 2 2 0 0 ⟶ 1 0 2 0 2 0 0 0 0 0 0 0 0 0 1 2 2 , 1 2 0 0 2 1 0 2 2 2 0 0 1 ⟶ 0 0 0 0 0 1 2 2 2 0 2 0 2 2 1 0 1 , 1 2 0 1 0 0 1 1 1 1 0 1 1 ⟶ 0 0 0 0 2 0 1 0 0 0 0 0 1 2 1 1 0 , 1 2 0 1 2 1 2 2 1 0 1 0 0 ⟶ 1 0 0 0 1 2 0 2 2 2 2 2 1 0 1 0 0 , 1 2 1 1 2 0 0 2 2 1 0 0 1 ⟶ 1 1 0 0 0 0 0 0 1 0 0 1 2 2 2 2 0 , 1 2 2 0 0 1 2 0 2 1 0 0 1 ⟶ 0 1 0 2 2 2 2 2 0 2 2 2 2 2 2 2 2 , 1 2 2 0 1 2 2 2 0 1 2 1 1 ⟶ 0 0 0 2 2 2 2 2 0 2 2 1 2 0 0 0 1 , 2 0 0 0 0 1 1 2 0 0 1 0 2 ⟶ 0 1 0 0 0 1 2 2 2 2 0 2 0 2 2 2 2 , 2 0 0 2 1 2 1 0 1 0 1 1 1 ⟶ 1 0 0 0 0 0 0 0 1 1 2 2 2 0 2 0 0 , 2 0 1 0 1 0 0 0 2 0 1 2 1 ⟶ 2 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 , 2 0 2 0 1 1 0 0 2 1 1 0 2 ⟶ 2 2 0 0 0 1 0 0 0 0 1 0 0 0 1 0 2 , 2 0 2 2 0 2 2 0 2 1 2 0 1 ⟶ 2 2 2 2 0 0 0 0 0 0 0 0 0 1 2 2 0 , 2 1 0 2 1 2 1 2 1 2 2 2 1 ⟶ 2 1 0 0 0 1 2 0 2 0 0 0 0 0 1 2 1 , 2 1 1 2 1 1 2 0 1 0 1 0 2 ⟶ 2 2 0 2 0 0 1 2 0 2 2 2 2 2 2 1 2 , 2 1 1 2 2 0 2 0 0 2 0 1 0 ⟶ 2 0 1 0 1 2 2 2 2 2 2 2 0 2 2 0 0 , 2 1 2 0 0 2 2 0 2 0 1 2 2 ⟶ 2 0 0 0 0 2 0 0 1 2 2 2 2 2 2 0 2 , 2 1 2 0 2 2 2 1 1 0 0 1 2 ⟶ 1 2 2 0 0 2 2 2 2 2 0 2 2 2 2 2 2 , 2 1 2 1 0 1 0 0 2 1 2 2 0 ⟶ 2 2 1 1 0 0 0 0 0 0 1 2 1 0 0 0 1 , 2 1 2 2 1 2 2 2 2 1 2 1 0 ⟶ 2 0 0 2 0 0 0 0 1 0 0 0 0 0 0 0 0 , 2 2 0 0 1 2 1 0 2 2 1 0 0 ⟶ 2 2 2 2 2 2 2 0 2 2 0 2 2 0 2 2 0 , 2 2 0 0 2 1 2 1 2 0 1 2 0 ⟶ 2 2 2 2 2 2 0 1 0 0 0 0 1 0 0 2 1 , 2 2 0 2 2 0 1 1 2 1 0 1 0 ⟶ 2 2 2 2 2 2 2 2 2 2 1 0 0 2 0 0 1 , 2 2 0 2 2 1 2 1 2 2 0 2 0 ⟶ 2 2 2 2 0 2 2 2 0 2 2 0 1 0 0 0 1 , 2 2 1 0 2 1 1 2 2 0 1 0 1 ⟶ 2 2 2 2 0 1 0 0 0 1 0 0 0 0 0 1 2 , 2 2 1 1 2 1 0 1 1 2 0 0 2 ⟶ 2 2 2 0 0 0 0 1 2 0 0 0 2 2 2 2 2 } Applying sparse tiling TRFC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { (0,0) ↦ 0, (0,1) ↦ 1, (1,2) ↦ 2, (2,1) ↦ 3, (2,2) ↦ 4, (1,1) ↦ 5, (2,0) ↦ 6, (0,2) ↦ 7, (0,4) ↦ 8, (1,0) ↦ 9, (3,0) ↦ 10, (1,4) ↦ 11, (2,4) ↦ 12, (3,1) ↦ 13, (3,2) ↦ 14 }, it remains to prove termination of the 1152-rule system { 0 0 0 0 1 2 3 2 4 3 5 2 6 0 ⟶ 0 0 0 0 1 2 4 4 4 4 4 4 4 4 3 2 6 0 , 0 0 0 0 1 2 3 2 4 3 5 2 6 1 ⟶ 0 0 0 0 1 2 4 4 4 4 4 4 4 4 3 2 6 1 , 0 0 0 0 1 2 3 2 4 3 5 2 6 7 ⟶ 0 0 0 0 1 2 4 4 4 4 4 4 4 4 3 2 6 7 , 0 0 0 0 1 2 3 2 4 3 5 2 6 8 ⟶ 0 0 0 0 1 2 4 4 4 4 4 4 4 4 3 2 6 8 , 9 0 0 0 1 2 3 2 4 3 5 2 6 0 ⟶ 9 0 0 0 1 2 4 4 4 4 4 4 4 4 3 2 6 0 , 9 0 0 0 1 2 3 2 4 3 5 2 6 1 ⟶ 9 0 0 0 1 2 4 4 4 4 4 4 4 4 3 2 6 1 , 9 0 0 0 1 2 3 2 4 3 5 2 6 7 ⟶ 9 0 0 0 1 2 4 4 4 4 4 4 4 4 3 2 6 7 , 9 0 0 0 1 2 3 2 4 3 5 2 6 8 ⟶ 9 0 0 0 1 2 4 4 4 4 4 4 4 4 3 2 6 8 , 6 0 0 0 1 2 3 2 4 3 5 2 6 0 ⟶ 6 0 0 0 1 2 4 4 4 4 4 4 4 4 3 2 6 0 , 6 0 0 0 1 2 3 2 4 3 5 2 6 1 ⟶ 6 0 0 0 1 2 4 4 4 4 4 4 4 4 3 2 6 1 , 6 0 0 0 1 2 3 2 4 3 5 2 6 7 ⟶ 6 0 0 0 1 2 4 4 4 4 4 4 4 4 3 2 6 7 , 6 0 0 0 1 2 3 2 4 3 5 2 6 8 ⟶ 6 0 0 0 1 2 4 4 4 4 4 4 4 4 3 2 6 8 , 10 0 0 0 1 2 3 2 4 3 5 2 6 0 ⟶ 10 0 0 0 1 2 4 4 4 4 4 4 4 4 3 2 6 0 ,
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