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SRS Standard pair #516975113
details
property
value
status
complete
benchmark
size-12-alpha-3-num-452.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n117.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
2.46053695679 seconds
cpu usage
7.547497807
max memory
1.233682432E9
stage attributes
key
value
output-size
9876
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 3-rule system { 0 ⟶ 1 2 , 1 0 1 ⟶ , 2 2 ⟶ 0 0 0 1 } The system was reversed. After renaming modulo the bijection { 0 ↦ 0, 2 ↦ 1, 1 ↦ 2 }, it remains to prove termination of the 3-rule system { 0 ⟶ 1 2 , 2 0 2 ⟶ , 1 1 ⟶ 2 0 0 0 } Applying sparse tiling TRFC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { (0,0) ↦ 0, (0,1) ↦ 1, (1,2) ↦ 2, (2,0) ↦ 3, (2,1) ↦ 4, (0,2) ↦ 5, (2,2) ↦ 6, (0,4) ↦ 7, (2,4) ↦ 8, (1,0) ↦ 9, (1,1) ↦ 10, (3,0) ↦ 11, (3,1) ↦ 12, (1,4) ↦ 13, (3,2) ↦ 14, (3,4) ↦ 15 }, it remains to prove termination of the 48-rule system { 0 0 ⟶ 1 2 3 , 0 1 ⟶ 1 2 4 , 0 5 ⟶ 1 2 6 , 0 7 ⟶ 1 2 8 , 9 0 ⟶ 10 2 3 , 9 1 ⟶ 10 2 4 , 9 5 ⟶ 10 2 6 , 9 7 ⟶ 10 2 8 , 3 0 ⟶ 4 2 3 , 3 1 ⟶ 4 2 4 , 3 5 ⟶ 4 2 6 , 3 7 ⟶ 4 2 8 , 11 0 ⟶ 12 2 3 , 11 1 ⟶ 12 2 4 , 11 5 ⟶ 12 2 6 , 11 7 ⟶ 12 2 8 , 5 3 5 3 ⟶ 0 , 5 3 5 4 ⟶ 1 , 5 3 5 6 ⟶ 5 , 5 3 5 8 ⟶ 7 , 2 3 5 3 ⟶ 9 , 2 3 5 4 ⟶ 10 , 2 3 5 6 ⟶ 2 , 2 3 5 8 ⟶ 13 , 6 3 5 3 ⟶ 3 , 6 3 5 4 ⟶ 4 , 6 3 5 6 ⟶ 6 , 6 3 5 8 ⟶ 8 , 14 3 5 3 ⟶ 11 , 14 3 5 4 ⟶ 12 , 14 3 5 6 ⟶ 14 , 14 3 5 8 ⟶ 15 , 1 10 9 ⟶ 5 3 0 0 0 , 1 10 10 ⟶ 5 3 0 0 1 , 1 10 2 ⟶ 5 3 0 0 5 , 1 10 13 ⟶ 5 3 0 0 7 , 10 10 9 ⟶ 2 3 0 0 0 , 10 10 10 ⟶ 2 3 0 0 1 , 10 10 2 ⟶ 2 3 0 0 5 , 10 10 13 ⟶ 2 3 0 0 7 , 4 10 9 ⟶ 6 3 0 0 0 , 4 10 10 ⟶ 6 3 0 0 1 , 4 10 2 ⟶ 6 3 0 0 5 , 4 10 13 ⟶ 6 3 0 0 7 , 12 10 9 ⟶ 14 3 0 0 0 , 12 10 10 ⟶ 14 3 0 0 1 , 12 10 2 ⟶ 14 3 0 0 5 , 12 10 13 ⟶ 14 3 0 0 7 } 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 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ ⎜ 1 0 ⎟
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