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SRS Standard pair #516975155
details
property
value
status
complete
benchmark
size-12-alpha-3-num-429.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n054.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
2.56388282776 seconds
cpu usage
8.131839893
max memory
1.44893952E9
stage attributes
key
value
output-size
29193
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 1 2 , 0 1 ⟶ , 0 2 1 ⟶ 0 0 0 } 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 , 2 0 ⟶ , 2 1 0 ⟶ 0 0 0 } Applying the dependency pairs transformation. Here, ↑ marks so-called defined symbols. After renaming modulo the bijection { (0,↑) ↦ 0, (2,↑) ↦ 1, (2,↓) ↦ 2, (1,↓) ↦ 3, (0,↓) ↦ 4 }, it remains to prove termination of the 7-rule system { 0 ⟶ 1 2 , 0 ⟶ 1 , 1 3 4 ⟶ 0 4 4 , 1 3 4 ⟶ 0 4 , 4 →= 3 2 2 , 2 4 →= , 2 3 4 →= 4 4 4 } Applying sparse tiling TROC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { (5,0) ↦ 0, (0,3) ↦ 1, (5,1) ↦ 2, (1,2) ↦ 3, (2,3) ↦ 4, (0,4) ↦ 5, (2,4) ↦ 6, (1,3) ↦ 7, (1,4) ↦ 8, (3,4) ↦ 9, (4,3) ↦ 10, (4,4) ↦ 11, (4,6) ↦ 12, (3,2) ↦ 13, (2,2) ↦ 14, (2,6) ↦ 15, (3,3) ↦ 16, (5,4) ↦ 17, (5,3) ↦ 18, (1,6) ↦ 19, (3,6) ↦ 20 }, it remains to prove termination of the 46-rule system { 0 1 ⟶ 2 3 4 , 0 5 ⟶ 2 3 6 , 0 1 ⟶ 2 7 , 0 5 ⟶ 2 8 , 2 7 9 10 ⟶ 0 5 11 10 , 2 7 9 11 ⟶ 0 5 11 11 , 2 7 9 12 ⟶ 0 5 11 12 , 2 7 9 10 ⟶ 0 5 10 , 2 7 9 11 ⟶ 0 5 11 , 2 7 9 12 ⟶ 0 5 12 , 5 10 →= 1 13 14 4 , 5 11 →= 1 13 14 6 , 5 12 →= 1 13 14 15 , 8 10 →= 7 13 14 4 , 8 11 →= 7 13 14 6 , 8 12 →= 7 13 14 15 , 6 10 →= 4 13 14 4 , 6 11 →= 4 13 14 6 , 6 12 →= 4 13 14 15 , 9 10 →= 16 13 14 4 , 9 11 →= 16 13 14 6 , 9 12 →= 16 13 14 15 , 11 10 →= 10 13 14 4 , 11 11 →= 10 13 14 6 , 11 12 →= 10 13 14 15 , 17 10 →= 18 13 14 4 , 17 11 →= 18 13 14 6 , 17 12 →= 18 13 14 15 , 3 6 10 →= 7 , 3 6 11 →= 8 , 3 6 12 →= 19 , 14 6 10 →= 4 , 14 6 11 →= 6 , 14 6 12 →= 15 , 13 6 10 →= 16 , 13 6 11 →= 9 , 13 6 12 →= 20 , 3 4 9 10 →= 8 11 11 10 , 3 4 9 11 →= 8 11 11 11 , 3 4 9 12 →= 8 11 11 12 , 14 4 9 10 →= 6 11 11 10 , 14 4 9 11 →= 6 11 11 11 , 14 4 9 12 →= 6 11 11 12 , 13 4 9 10 →= 9 11 11 10 , 13 4 9 11 →= 9 11 11 11 , 13 4 9 12 →= 9 11 11 12 } 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 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 0 ⎟
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