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SRS Standard pair #516974375
details
property
value
status
complete
benchmark
size-12-alpha-3-num-508.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
9.97619700432 seconds
cpu usage
37.981510152
max memory
3.956989952E9
stage attributes
key
value
output-size
144832
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 { a ↦ 0, b ↦ 1, c ↦ 2 }, it remains to prove termination of the 3-rule system { 0 0 ⟶ 1 2 , 0 1 ⟶ 2 0 , 2 2 ⟶ 0 1 } Applying sparse tiling TRFC(2) after reversal [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { 0 ↦ 0, 3 ↦ 1, 2 ↦ 2, 1 ↦ 3, 4 ↦ 4, 5 ↦ 5, 6 ↦ 6, 7 ↦ 7, 8 ↦ 8, 9 ↦ 9, 10 ↦ 10, 11 ↦ 11, 12 ↦ 12, 13 ↦ 13, 14 ↦ 14 }, it remains to prove termination of the 48-rule system { 0 0 0 ⟶ 1 2 3 , 3 0 0 ⟶ 4 2 3 , 5 0 0 ⟶ 6 2 3 , 7 0 0 ⟶ 8 2 3 , 0 0 9 ⟶ 1 2 10 , 3 0 9 ⟶ 4 2 10 , 5 0 9 ⟶ 6 2 10 , 7 0 9 ⟶ 8 2 10 , 0 0 1 ⟶ 1 2 4 , 3 0 1 ⟶ 4 2 4 , 5 0 1 ⟶ 6 2 4 , 7 0 1 ⟶ 8 2 4 , 0 0 11 ⟶ 1 2 12 , 3 0 11 ⟶ 4 2 12 , 5 0 11 ⟶ 6 2 12 , 7 0 11 ⟶ 8 2 12 , 0 1 5 ⟶ 9 3 0 , 3 1 5 ⟶ 10 3 0 , 5 1 5 ⟶ 2 3 0 , 7 1 5 ⟶ 13 3 0 , 0 1 2 ⟶ 9 3 9 , 3 1 2 ⟶ 10 3 9 , 5 1 2 ⟶ 2 3 9 , 7 1 2 ⟶ 13 3 9 , 0 1 6 ⟶ 9 3 1 , 3 1 6 ⟶ 10 3 1 , 5 1 6 ⟶ 2 3 1 , 7 1 6 ⟶ 13 3 1 , 0 1 14 ⟶ 9 3 11 , 3 1 14 ⟶ 10 3 11 , 5 1 14 ⟶ 2 3 11 , 7 1 14 ⟶ 13 3 11 , 9 10 3 ⟶ 0 1 5 , 10 10 3 ⟶ 3 1 5 , 2 10 3 ⟶ 5 1 5 , 13 10 3 ⟶ 7 1 5 , 9 10 10 ⟶ 0 1 2 , 10 10 10 ⟶ 3 1 2 , 2 10 10 ⟶ 5 1 2 , 13 10 10 ⟶ 7 1 2 , 9 10 4 ⟶ 0 1 6 , 10 10 4 ⟶ 3 1 6 , 2 10 4 ⟶ 5 1 6 , 13 10 4 ⟶ 7 1 6 , 9 10 12 ⟶ 0 1 14 , 10 10 12 ⟶ 3 1 14 , 2 10 12 ⟶ 5 1 14 , 13 10 12 ⟶ 7 1 14 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 5 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠
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