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SRS Standard pair #516975089
details
property
value
status
complete
benchmark
size-12-alpha-3-num-165.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)
1.7632689476 seconds
cpu usage
5.327871322
max memory
1.008459776E9
stage attributes
key
value
output-size
13805
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 1 ⟶ 1 0 2 , 1 1 ⟶ , 2 2 ⟶ 1 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 0 ⟶ 2 0 1 , 1 1 ⟶ , 2 2 ⟶ 0 1 } Applying sparse tiling TRFC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { (0,0) ↦ 0, (0,1) ↦ 1, (0,2) ↦ 2, (0,4) ↦ 3, (1,0) ↦ 4, (1,1) ↦ 5, (1,2) ↦ 6, (1,4) ↦ 7, (2,0) ↦ 8, (2,1) ↦ 9, (2,2) ↦ 10, (2,4) ↦ 11, (3,0) ↦ 12, (3,1) ↦ 13, (3,2) ↦ 14, (3,4) ↦ 15 }, it remains to prove termination of the 64-rule system { 0 0 ⟶ 0 , 0 1 ⟶ 1 , 0 2 ⟶ 2 , 0 3 ⟶ 3 , 4 0 ⟶ 4 , 4 1 ⟶ 5 , 4 2 ⟶ 6 , 4 3 ⟶ 7 , 8 0 ⟶ 8 , 8 1 ⟶ 9 , 8 2 ⟶ 10 , 8 3 ⟶ 11 , 12 0 ⟶ 12 , 12 1 ⟶ 13 , 12 2 ⟶ 14 , 12 3 ⟶ 15 , 1 4 0 ⟶ 2 8 1 4 , 1 4 1 ⟶ 2 8 1 5 , 1 4 2 ⟶ 2 8 1 6 , 1 4 3 ⟶ 2 8 1 7 , 5 4 0 ⟶ 6 8 1 4 , 5 4 1 ⟶ 6 8 1 5 , 5 4 2 ⟶ 6 8 1 6 , 5 4 3 ⟶ 6 8 1 7 , 9 4 0 ⟶ 10 8 1 4 , 9 4 1 ⟶ 10 8 1 5 , 9 4 2 ⟶ 10 8 1 6 , 9 4 3 ⟶ 10 8 1 7 , 13 4 0 ⟶ 14 8 1 4 , 13 4 1 ⟶ 14 8 1 5 , 13 4 2 ⟶ 14 8 1 6 , 13 4 3 ⟶ 14 8 1 7 , 1 5 4 ⟶ 0 , 1 5 5 ⟶ 1 , 1 5 6 ⟶ 2 , 1 5 7 ⟶ 3 , 5 5 4 ⟶ 4 , 5 5 5 ⟶ 5 , 5 5 6 ⟶ 6 , 5 5 7 ⟶ 7 , 9 5 4 ⟶ 8 , 9 5 5 ⟶ 9 , 9 5 6 ⟶ 10 , 9 5 7 ⟶ 11 , 13 5 4 ⟶ 12 , 13 5 5 ⟶ 13 , 13 5 6 ⟶ 14 , 13 5 7 ⟶ 15 , 2 10 8 ⟶ 0 1 4 , 2 10 9 ⟶ 0 1 5 , 2 10 10 ⟶ 0 1 6 , 2 10 11 ⟶ 0 1 7 , 6 10 8 ⟶ 4 1 4 , 6 10 9 ⟶ 4 1 5 , 6 10 10 ⟶ 4 1 6 , 6 10 11 ⟶ 4 1 7 , 10 10 8 ⟶ 8 1 4 , 10 10 9 ⟶ 8 1 5 , 10 10 10 ⟶ 8 1 6 , 10 10 11 ⟶ 8 1 7 , 14 10 8 ⟶ 12 1 4 , 14 10 9 ⟶ 12 1 5 , 14 10 10 ⟶ 12 1 6 , 14 10 11 ⟶ 12 1 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 ⎟ ⎝ ⎠
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