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SRS Standard pair #516974717
details
property
value
status
complete
benchmark
size-12-alpha-3-num-350.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n073.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
1.46412205696 seconds
cpu usage
4.301373581
max memory
8.21006336E8
stage attributes
key
value
output-size
14042
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 { a ↦ 0, b ↦ 1, c ↦ 2 }, it remains to prove termination of the 4-rule system { 0 ⟶ 1 , 0 1 ⟶ 1 0 2 , 1 1 ⟶ , 2 2 ⟶ 0 } The system was reversed. After renaming modulo the bijection { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2 }, it remains to prove termination of the 4-rule system { 0 ⟶ 1 , 1 0 ⟶ 2 0 1 , 1 1 ⟶ , 2 2 ⟶ 0 } Applying sparse tiling TRFC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { (0,0) ↦ 0, (0,1) ↦ 1, (1,0) ↦ 2, (1,1) ↦ 3, (0,2) ↦ 4, (1,2) ↦ 5, (0,4) ↦ 6, (1,4) ↦ 7, (2,0) ↦ 8, (2,1) ↦ 9, (3,0) ↦ 10, (3,1) ↦ 11, (2,2) ↦ 12, (3,2) ↦ 13, (2,4) ↦ 14, (3,4) ↦ 15 }, it remains to prove termination of the 64-rule system { 0 0 ⟶ 1 2 , 0 1 ⟶ 1 3 , 0 4 ⟶ 1 5 , 0 6 ⟶ 1 7 , 2 0 ⟶ 3 2 , 2 1 ⟶ 3 3 , 2 4 ⟶ 3 5 , 2 6 ⟶ 3 7 , 8 0 ⟶ 9 2 , 8 1 ⟶ 9 3 , 8 4 ⟶ 9 5 , 8 6 ⟶ 9 7 , 10 0 ⟶ 11 2 , 10 1 ⟶ 11 3 , 10 4 ⟶ 11 5 , 10 6 ⟶ 11 7 , 1 2 0 ⟶ 4 8 1 2 , 1 2 1 ⟶ 4 8 1 3 , 1 2 4 ⟶ 4 8 1 5 , 1 2 6 ⟶ 4 8 1 7 , 3 2 0 ⟶ 5 8 1 2 , 3 2 1 ⟶ 5 8 1 3 , 3 2 4 ⟶ 5 8 1 5 , 3 2 6 ⟶ 5 8 1 7 , 9 2 0 ⟶ 12 8 1 2 , 9 2 1 ⟶ 12 8 1 3 , 9 2 4 ⟶ 12 8 1 5 , 9 2 6 ⟶ 12 8 1 7 , 11 2 0 ⟶ 13 8 1 2 , 11 2 1 ⟶ 13 8 1 3 , 11 2 4 ⟶ 13 8 1 5 , 11 2 6 ⟶ 13 8 1 7 , 1 3 2 ⟶ 0 , 1 3 3 ⟶ 1 , 1 3 5 ⟶ 4 , 1 3 7 ⟶ 6 , 3 3 2 ⟶ 2 , 3 3 3 ⟶ 3 , 3 3 5 ⟶ 5 , 3 3 7 ⟶ 7 , 9 3 2 ⟶ 8 , 9 3 3 ⟶ 9 , 9 3 5 ⟶ 12 , 9 3 7 ⟶ 14 , 11 3 2 ⟶ 10 , 11 3 3 ⟶ 11 , 11 3 5 ⟶ 13 , 11 3 7 ⟶ 15 , 4 12 8 ⟶ 0 0 , 4 12 9 ⟶ 0 1 , 4 12 12 ⟶ 0 4 , 4 12 14 ⟶ 0 6 , 5 12 8 ⟶ 2 0 , 5 12 9 ⟶ 2 1 , 5 12 12 ⟶ 2 4 , 5 12 14 ⟶ 2 6 , 12 12 8 ⟶ 8 0 , 12 12 9 ⟶ 8 1 , 12 12 12 ⟶ 8 4 , 12 12 14 ⟶ 8 6 , 13 12 8 ⟶ 10 0 , 13 12 9 ⟶ 10 1 , 13 12 12 ⟶ 10 4 , 13 12 14 ⟶ 10 6 } 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 ⎟ ⎝ ⎠
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