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SRS Standard pair #516974921
details
property
value
status
complete
benchmark
size-12-alpha-3-num-477.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n065.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
3.44126200676 seconds
cpu usage
11.761945379
max memory
2.203410432E9
stage attributes
key
value
output-size
95355
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 0 ⟶ 0 1 1 2 , 0 1 ⟶ , 2 1 ⟶ 0 2 } Applying the dependency pairs transformation. Here, ↑ marks so-called defined symbols. After renaming modulo the bijection { (0,↑) ↦ 0, (0,↓) ↦ 1, (1,↓) ↦ 2, (2,↓) ↦ 3, (2,↑) ↦ 4 }, it remains to prove termination of the 7-rule system { 0 1 ⟶ 0 2 2 3 , 0 1 ⟶ 4 , 4 2 ⟶ 0 3 , 4 2 ⟶ 4 , 1 1 →= 1 2 2 3 , 1 2 →= , 3 2 →= 1 3 } Applying sparse tiling TROC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { (5,0) ↦ 0, (0,1) ↦ 1, (1,1) ↦ 2, (0,2) ↦ 3, (2,2) ↦ 4, (2,3) ↦ 5, (3,1) ↦ 6, (1,2) ↦ 7, (3,2) ↦ 8, (1,3) ↦ 9, (3,3) ↦ 10, (5,4) ↦ 11, (4,1) ↦ 12, (4,2) ↦ 13, (4,3) ↦ 14, (2,1) ↦ 15, (0,3) ↦ 16, (5,1) ↦ 17, (5,2) ↦ 18, (5,3) ↦ 19 }, it remains to prove termination of the 66-rule system { 0 1 2 ⟶ 0 3 4 5 6 , 0 1 7 ⟶ 0 3 4 5 8 , 0 1 9 ⟶ 0 3 4 5 10 , 0 1 2 ⟶ 11 12 , 0 1 7 ⟶ 11 13 , 0 1 9 ⟶ 11 14 , 11 13 15 ⟶ 0 16 6 , 11 13 4 ⟶ 0 16 8 , 11 13 5 ⟶ 0 16 10 , 11 13 15 ⟶ 11 12 , 11 13 4 ⟶ 11 13 , 11 13 5 ⟶ 11 14 , 1 2 2 →= 1 7 4 5 6 , 1 2 7 →= 1 7 4 5 8 , 1 2 9 →= 1 7 4 5 10 , 2 2 2 →= 2 7 4 5 6 , 2 2 7 →= 2 7 4 5 8 , 2 2 9 →= 2 7 4 5 10 , 15 2 2 →= 15 7 4 5 6 , 15 2 7 →= 15 7 4 5 8 , 15 2 9 →= 15 7 4 5 10 , 6 2 2 →= 6 7 4 5 6 , 6 2 7 →= 6 7 4 5 8 , 6 2 9 →= 6 7 4 5 10 , 12 2 2 →= 12 7 4 5 6 , 12 2 7 →= 12 7 4 5 8 , 12 2 9 →= 12 7 4 5 10 , 17 2 2 →= 17 7 4 5 6 , 17 2 7 →= 17 7 4 5 8 , 17 2 9 →= 17 7 4 5 10 , 1 7 15 →= 1 , 1 7 4 →= 3 , 1 7 5 →= 16 , 2 7 15 →= 2 , 2 7 4 →= 7 , 2 7 5 →= 9 , 15 7 15 →= 15 , 15 7 4 →= 4 , 15 7 5 →= 5 , 6 7 15 →= 6 , 6 7 4 →= 8 , 6 7 5 →= 10 , 12 7 15 →= 12 , 12 7 4 →= 13 , 12 7 5 →= 14 , 17 7 15 →= 17 , 17 7 4 →= 18 , 17 7 5 →= 19 , 16 8 15 →= 1 9 6 , 16 8 4 →= 1 9 8 , 16 8 5 →= 1 9 10 , 9 8 15 →= 2 9 6 , 9 8 4 →= 2 9 8 , 9 8 5 →= 2 9 10 , 5 8 15 →= 15 9 6 , 5 8 4 →= 15 9 8 , 5 8 5 →= 15 9 10 , 10 8 15 →= 6 9 6 , 10 8 4 →= 6 9 8 , 10 8 5 →= 6 9 10 , 14 8 15 →= 12 9 6 , 14 8 4 →= 12 9 8 , 14 8 5 →= 12 9 10 , 19 8 15 →= 17 9 6 , 19 8 4 →= 17 9 8 , 19 8 5 →= 17 9 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2:
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