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SRS Standard pair #516973757
details
property
value
status
complete
benchmark
size-12-alpha-3-num-352.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n081.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
1.79939889908 seconds
cpu usage
5.277348688
max memory
1.02754304E9
stage attributes
key
value
output-size
7154
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 4-rule system { 0 ⟶ 1 , 0 1 ⟶ 1 0 2 0 , 1 1 ⟶ , 2 2 ⟶ } Applying sparse tiling TRFC(2) after reversal [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { 0 ↦ 0, 2 ↦ 1, 1 ↦ 2, 3 ↦ 3, 4 ↦ 4, 5 ↦ 5, 6 ↦ 6, 7 ↦ 7, 8 ↦ 8, 9 ↦ 9, 10 ↦ 10, 11 ↦ 11, 12 ↦ 12, 13 ↦ 13, 14 ↦ 14, 15 ↦ 15 }, it remains to prove termination of the 64-rule system { 0 0 ⟶ 1 2 , 2 0 ⟶ 3 2 , 4 0 ⟶ 5 2 , 6 0 ⟶ 7 2 , 0 1 ⟶ 1 3 , 2 1 ⟶ 3 3 , 4 1 ⟶ 5 3 , 6 1 ⟶ 7 3 , 0 8 ⟶ 1 9 , 2 8 ⟶ 3 9 , 4 8 ⟶ 5 9 , 6 8 ⟶ 7 9 , 0 10 ⟶ 1 11 , 2 10 ⟶ 3 11 , 4 10 ⟶ 5 11 , 6 10 ⟶ 7 11 , 0 1 2 ⟶ 1 2 8 4 0 , 2 1 2 ⟶ 3 2 8 4 0 , 4 1 2 ⟶ 5 2 8 4 0 , 6 1 2 ⟶ 7 2 8 4 0 , 0 1 3 ⟶ 1 2 8 4 1 , 2 1 3 ⟶ 3 2 8 4 1 , 4 1 3 ⟶ 5 2 8 4 1 , 6 1 3 ⟶ 7 2 8 4 1 , 0 1 9 ⟶ 1 2 8 4 8 , 2 1 9 ⟶ 3 2 8 4 8 , 4 1 9 ⟶ 5 2 8 4 8 , 6 1 9 ⟶ 7 2 8 4 8 , 0 1 11 ⟶ 1 2 8 4 10 , 2 1 11 ⟶ 3 2 8 4 10 , 4 1 11 ⟶ 5 2 8 4 10 , 6 1 11 ⟶ 7 2 8 4 10 , 1 3 2 ⟶ 0 , 3 3 2 ⟶ 2 , 5 3 2 ⟶ 4 , 7 3 2 ⟶ 6 , 1 3 3 ⟶ 1 , 3 3 3 ⟶ 3 , 5 3 3 ⟶ 5 , 7 3 3 ⟶ 7 , 1 3 9 ⟶ 8 , 3 3 9 ⟶ 9 , 5 3 9 ⟶ 12 , 7 3 9 ⟶ 13 , 1 3 11 ⟶ 10 , 3 3 11 ⟶ 11 , 5 3 11 ⟶ 14 , 7 3 11 ⟶ 15 , 8 12 4 ⟶ 0 , 9 12 4 ⟶ 2 , 12 12 4 ⟶ 4 , 13 12 4 ⟶ 6 , 8 12 5 ⟶ 1 , 9 12 5 ⟶ 3 , 12 12 5 ⟶ 5 , 13 12 5 ⟶ 7 , 8 12 12 ⟶ 8 , 9 12 12 ⟶ 9 , 12 12 12 ⟶ 12 , 13 12 12 ⟶ 13 , 8 12 14 ⟶ 10 , 9 12 14 ⟶ 11 , 12 12 14 ⟶ 14 , 13 12 14 ⟶ 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 ↦ ⎛ ⎞ ⎜ 1 2 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 2 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 2 ⎟ ⎜ 0 1 ⎟
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