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SRS Standard pair #516974393
details
property
value
status
complete
benchmark
size-12-alpha-3-num-279.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n072.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
1.52626895905 seconds
cpu usage
4.483076944
max memory
8.51857408E8
stage attributes
key
value
output-size
6276
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 ⟶ 2 1 , 1 ⟶ 0 0 2 , 2 2 ⟶ 1 } Applying the dependency pairs transformation. Here, ↑ marks so-called defined symbols. After renaming modulo the bijection { (0,↑) ↦ 0, (1,↓) ↦ 1, (2,↑) ↦ 2, (1,↑) ↦ 3, (0,↓) ↦ 4, (2,↓) ↦ 5 }, it remains to prove termination of the 9-rule system { 0 1 ⟶ 2 1 , 3 ⟶ 0 4 5 , 3 ⟶ 0 5 , 3 ⟶ 2 , 2 5 ⟶ 3 , 4 →= , 4 1 →= 5 1 , 1 →= 4 4 5 , 5 5 →= 1 } Applying sparse tiling TROC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { (6,0) ↦ 0, (0,1) ↦ 1, (1,1) ↦ 2, (6,2) ↦ 3, (2,1) ↦ 4, (1,4) ↦ 5, (1,5) ↦ 6, (1,7) ↦ 7, (6,3) ↦ 8, (3,1) ↦ 9, (0,4) ↦ 10, (4,5) ↦ 11, (5,1) ↦ 12, (3,4) ↦ 13, (5,4) ↦ 14, (3,5) ↦ 15, (5,5) ↦ 16, (3,7) ↦ 17, (5,7) ↦ 18, (0,5) ↦ 19, (2,4) ↦ 20, (2,5) ↦ 21, (2,7) ↦ 22, (4,1) ↦ 23, (4,4) ↦ 24, (6,4) ↦ 25, (6,1) ↦ 26, (6,5) ↦ 27 }, it remains to prove termination of the 125-rule system { 0 1 2 ⟶ 3 4 2 , 0 1 5 ⟶ 3 4 5 , 0 1 6 ⟶ 3 4 6 , 0 1 7 ⟶ 3 4 7 , 8 9 ⟶ 0 10 11 12 , 8 13 ⟶ 0 10 11 14 , 8 15 ⟶ 0 10 11 16 , 8 17 ⟶ 0 10 11 18 , 8 9 ⟶ 0 19 12 , 8 13 ⟶ 0 19 14 , 8 15 ⟶ 0 19 16 , 8 17 ⟶ 0 19 18 , 8 9 ⟶ 3 4 , 8 13 ⟶ 3 20 , 8 15 ⟶ 3 21 , 8 17 ⟶ 3 22 , 3 21 12 ⟶ 8 9 , 3 21 14 ⟶ 8 13 , 3 21 16 ⟶ 8 15 , 3 21 18 ⟶ 8 17 , 10 23 →= 1 , 10 24 →= 10 , 10 11 →= 19 , 5 23 →= 2 , 5 24 →= 5 , 5 11 →= 6 , 20 23 →= 4 , 20 24 →= 20 , 20 11 →= 21 , 13 23 →= 9 , 13 24 →= 13 , 13 11 →= 15 , 24 23 →= 23 , 24 24 →= 24 , 24 11 →= 11 , 14 23 →= 12 , 14 24 →= 14 , 14 11 →= 16 , 25 23 →= 26 , 25 24 →= 25 , 25 11 →= 27 , 10 23 2 →= 19 12 2 , 10 23 5 →= 19 12 5 , 10 23 6 →= 19 12 6 , 10 23 7 →= 19 12 7 , 5 23 2 →= 6 12 2 , 5 23 5 →= 6 12 5 , 5 23 6 →= 6 12 6 , 5 23 7 →= 6 12 7 , 20 23 2 →= 21 12 2 , 20 23 5 →= 21 12 5 , 20 23 6 →= 21 12 6 , 20 23 7 →= 21 12 7 , 13 23 2 →= 15 12 2 , 13 23 5 →= 15 12 5 , 13 23 6 →= 15 12 6 , 13 23 7 →= 15 12 7 , 24 23 2 →= 11 12 2 , 24 23 5 →= 11 12 5 , 24 23 6 →= 11 12 6 , 24 23 7 →= 11 12 7 , 14 23 2 →= 16 12 2 , 14 23 5 →= 16 12 5 , 14 23 6 →= 16 12 6 , 14 23 7 →= 16 12 7 , 25 23 2 →= 27 12 2 , 25 23 5 →= 27 12 5 ,
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