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SRS Standard pair #516974063
details
property
value
status
complete
benchmark
size-12-alpha-3-num-104.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n045.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
206.887284994 seconds
cpu usage
575.604797835
max memory
3.5588947968E10
stage attributes
key
value
output-size
1463839
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 0 1 ⟶ 1 0 1 0 , 1 1 ⟶ 2 0 } Applying sparse tiling TRFC(2) after reversal [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2, 3 ↦ 3, 4 ↦ 4, 5 ↦ 5, 6 ↦ 6, 7 ↦ 7, 8 ↦ 8, 9 ↦ 9, 10 ↦ 10, 11 ↦ 11, 12 ↦ 12, 13 ↦ 13 }, it remains to prove termination of the 40-rule system { 0 0 ⟶ 0 , 1 0 ⟶ 1 , 2 0 ⟶ 2 , 0 3 ⟶ 3 , 1 3 ⟶ 4 , 2 3 ⟶ 5 , 0 6 ⟶ 6 , 1 6 ⟶ 7 , 2 6 ⟶ 8 , 0 9 ⟶ 9 , 1 9 ⟶ 10 , 2 9 ⟶ 11 , 0 0 3 1 ⟶ 3 1 3 1 0 , 1 0 3 1 ⟶ 4 1 3 1 0 , 2 0 3 1 ⟶ 5 1 3 1 0 , 0 0 3 4 ⟶ 3 1 3 1 3 , 1 0 3 4 ⟶ 4 1 3 1 3 , 2 0 3 4 ⟶ 5 1 3 1 3 , 0 0 3 7 ⟶ 3 1 3 1 6 , 1 0 3 7 ⟶ 4 1 3 1 6 , 2 0 3 7 ⟶ 5 1 3 1 6 , 0 0 3 10 ⟶ 3 1 3 1 9 , 1 0 3 10 ⟶ 4 1 3 1 9 , 2 0 3 10 ⟶ 5 1 3 1 9 , 3 4 1 ⟶ 6 2 0 , 4 4 1 ⟶ 7 2 0 , 5 4 1 ⟶ 8 2 0 , 12 4 1 ⟶ 13 2 0 , 3 4 4 ⟶ 6 2 3 , 4 4 4 ⟶ 7 2 3 , 5 4 4 ⟶ 8 2 3 , 12 4 4 ⟶ 13 2 3 , 3 4 7 ⟶ 6 2 6 , 4 4 7 ⟶ 7 2 6 , 5 4 7 ⟶ 8 2 6 , 12 4 7 ⟶ 13 2 6 , 3 4 10 ⟶ 6 2 9 , 4 4 10 ⟶ 7 2 9 , 5 4 10 ⟶ 8 2 9 , 12 4 10 ⟶ 13 2 9 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 5 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 6 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 7 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟
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