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SRS Standard pair #516974177
details
property
value
status
complete
benchmark
size-12-alpha-3-num-91.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)
1.73536205292 seconds
cpu usage
2.565049899
max memory
6.46045696E8
stage attributes
key
value
output-size
5446
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 ⟶ , 0 0 ⟶ 1 1 2 , 2 ⟶ , 2 1 ⟶ 1 2 0 } The system was reversed. After renaming modulo the bijection { 0 ↦ 0, 2 ↦ 1, 1 ↦ 2 }, it remains to prove termination of the 4-rule system { 0 ⟶ , 0 0 ⟶ 1 2 2 , 1 ⟶ , 2 1 ⟶ 0 1 2 } Applying sparse tiling TRFC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { (0,0) ↦ 0, (0,1) ↦ 1, (0,2) ↦ 2, (1,0) ↦ 3, (1,1) ↦ 4, (1,2) ↦ 5, (2,0) ↦ 6, (2,1) ↦ 7, (2,2) ↦ 8, (3,0) ↦ 9, (3,1) ↦ 10, (3,2) ↦ 11 }, it remains to prove termination of the 48-rule system { 0 0 ⟶ 0 , 0 1 ⟶ 1 , 0 2 ⟶ 2 , 3 0 ⟶ 3 , 3 1 ⟶ 4 , 3 2 ⟶ 5 , 6 0 ⟶ 6 , 6 1 ⟶ 7 , 6 2 ⟶ 8 , 9 0 ⟶ 9 , 9 1 ⟶ 10 , 9 2 ⟶ 11 , 0 0 0 ⟶ 1 5 8 6 , 0 0 1 ⟶ 1 5 8 7 , 0 0 2 ⟶ 1 5 8 8 , 3 0 0 ⟶ 4 5 8 6 , 3 0 1 ⟶ 4 5 8 7 , 3 0 2 ⟶ 4 5 8 8 , 6 0 0 ⟶ 7 5 8 6 , 6 0 1 ⟶ 7 5 8 7 , 6 0 2 ⟶ 7 5 8 8 , 9 0 0 ⟶ 10 5 8 6 , 9 0 1 ⟶ 10 5 8 7 , 9 0 2 ⟶ 10 5 8 8 , 1 3 ⟶ 0 , 1 4 ⟶ 1 , 1 5 ⟶ 2 , 4 3 ⟶ 3 , 4 4 ⟶ 4 , 4 5 ⟶ 5 , 7 3 ⟶ 6 , 7 4 ⟶ 7 , 7 5 ⟶ 8 , 10 3 ⟶ 9 , 10 4 ⟶ 10 , 10 5 ⟶ 11 , 2 7 3 ⟶ 0 1 5 6 , 2 7 4 ⟶ 0 1 5 7 , 2 7 5 ⟶ 0 1 5 8 , 5 7 3 ⟶ 3 1 5 6 , 5 7 4 ⟶ 3 1 5 7 , 5 7 5 ⟶ 3 1 5 8 , 8 7 3 ⟶ 6 1 5 6 , 8 7 4 ⟶ 6 1 5 7 , 8 7 5 ⟶ 6 1 5 8 , 11 7 3 ⟶ 9 1 5 6 , 11 7 4 ⟶ 9 1 5 7 , 11 7 5 ⟶ 9 1 5 8 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 ↦ ⎛ ⎞ ⎜ 1 3 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 3 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 3 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠
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