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SRS Standard pair #516972947
details
property
value
status
complete
benchmark
05.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n135.star.cs.uiowa.edu
space
Bouchare_06
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
3.07896089554 seconds
cpu usage
10.417427905
max memory
1.9177472E9
stage attributes
key
value
output-size
33237
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 }, it remains to prove termination of the 3-rule system { 0 1 1 ⟶ 0 , 0 0 ⟶ 1 1 1 , 1 1 0 ⟶ 0 1 0 } Applying the dependency pairs transformation. Here, ↑ marks so-called defined symbols. After renaming modulo the bijection { (0,↑) ↦ 0, (1,↓) ↦ 1, (0,↓) ↦ 2, (1,↑) ↦ 3 }, it remains to prove termination of the 8-rule system { 0 1 1 ⟶ 0 , 0 2 ⟶ 3 1 1 , 0 2 ⟶ 3 1 , 0 2 ⟶ 3 , 3 1 2 ⟶ 0 1 2 , 2 1 1 →= 2 , 2 2 →= 1 1 1 , 1 1 2 →= 2 1 2 } Applying sparse tiling TROC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { (4,0) ↦ 0, (0,1) ↦ 1, (1,1) ↦ 2, (1,2) ↦ 3, (0,2) ↦ 4, (1,5) ↦ 5, (0,5) ↦ 6, (2,1) ↦ 7, (4,3) ↦ 8, (3,1) ↦ 9, (2,2) ↦ 10, (2,5) ↦ 11, (3,2) ↦ 12, (3,5) ↦ 13, (4,2) ↦ 14, (4,1) ↦ 15 }, it remains to prove termination of the 60-rule system { 0 1 2 2 ⟶ 0 1 , 0 1 2 3 ⟶ 0 4 , 0 1 2 5 ⟶ 0 6 , 0 4 7 ⟶ 8 9 2 2 , 0 4 10 ⟶ 8 9 2 3 , 0 4 11 ⟶ 8 9 2 5 , 0 4 7 ⟶ 8 9 2 , 0 4 10 ⟶ 8 9 3 , 0 4 11 ⟶ 8 9 5 , 0 4 7 ⟶ 8 9 , 0 4 10 ⟶ 8 12 , 0 4 11 ⟶ 8 13 , 8 9 3 7 ⟶ 0 1 3 7 , 8 9 3 10 ⟶ 0 1 3 10 , 8 9 3 11 ⟶ 0 1 3 11 , 4 7 2 2 →= 4 7 , 4 7 2 3 →= 4 10 , 4 7 2 5 →= 4 11 , 3 7 2 2 →= 3 7 , 3 7 2 3 →= 3 10 , 3 7 2 5 →= 3 11 , 10 7 2 2 →= 10 7 , 10 7 2 3 →= 10 10 , 10 7 2 5 →= 10 11 , 12 7 2 2 →= 12 7 , 12 7 2 3 →= 12 10 , 12 7 2 5 →= 12 11 , 14 7 2 2 →= 14 7 , 14 7 2 3 →= 14 10 , 14 7 2 5 →= 14 11 , 4 10 7 →= 1 2 2 2 , 4 10 10 →= 1 2 2 3 , 4 10 11 →= 1 2 2 5 , 3 10 7 →= 2 2 2 2 , 3 10 10 →= 2 2 2 3 , 3 10 11 →= 2 2 2 5 , 10 10 7 →= 7 2 2 2 , 10 10 10 →= 7 2 2 3 , 10 10 11 →= 7 2 2 5 , 12 10 7 →= 9 2 2 2 , 12 10 10 →= 9 2 2 3 , 12 10 11 →= 9 2 2 5 , 14 10 7 →= 15 2 2 2 , 14 10 10 →= 15 2 2 3 , 14 10 11 →= 15 2 2 5 , 1 2 3 7 →= 4 7 3 7 , 1 2 3 10 →= 4 7 3 10 , 1 2 3 11 →= 4 7 3 11 , 2 2 3 7 →= 3 7 3 7 , 2 2 3 10 →= 3 7 3 10 , 2 2 3 11 →= 3 7 3 11 , 7 2 3 7 →= 10 7 3 7 , 7 2 3 10 →= 10 7 3 10 , 7 2 3 11 →= 10 7 3 11 , 9 2 3 7 →= 12 7 3 7 , 9 2 3 10 →= 12 7 3 10 , 9 2 3 11 →= 12 7 3 11 , 15 2 3 7 →= 14 7 3 7 , 15 2 3 10 →= 14 7 3 10 , 15 2 3 11 →= 14 7 3 11 } 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 ⎟ ⎝ ⎠
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