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SRS Standard pair #516974057
details
property
value
status
complete
benchmark
size-12-alpha-3-num-565.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n175.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
3.65737605095 seconds
cpu usage
12.402222854
max memory
2.332073984E9
stage attributes
key
value
output-size
49859
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 ⟶ , 0 2 ⟶ 2 2 1 2 , 1 2 ⟶ 0 1 } Applying the dependency pairs transformation. Here, ↑ marks so-called defined symbols. After renaming modulo the bijection { (0,↑) ↦ 0, (2,↓) ↦ 1, (1,↑) ↦ 2, (1,↓) ↦ 3, (0,↓) ↦ 4 }, it remains to prove termination of the 6-rule system { 0 1 ⟶ 2 1 , 2 1 ⟶ 0 3 , 2 1 ⟶ 2 , 4 3 →= , 4 1 →= 1 1 3 1 , 3 1 →= 4 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, (5,2) ↦ 3, (2,1) ↦ 4, (1,3) ↦ 5, (1,4) ↦ 6, (1,6) ↦ 7, (0,3) ↦ 8, (3,1) ↦ 9, (3,3) ↦ 10, (3,4) ↦ 11, (3,6) ↦ 12, (2,3) ↦ 13, (2,4) ↦ 14, (2,6) ↦ 15, (0,4) ↦ 16, (4,3) ↦ 17, (0,6) ↦ 18, (4,4) ↦ 19, (4,1) ↦ 20, (4,6) ↦ 21, (5,4) ↦ 22, (5,1) ↦ 23, (5,3) ↦ 24, (5,6) ↦ 25 }, it remains to prove termination of the 84-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 , 3 4 2 ⟶ 0 8 9 , 3 4 5 ⟶ 0 8 10 , 3 4 6 ⟶ 0 8 11 , 3 4 7 ⟶ 0 8 12 , 3 4 2 ⟶ 3 4 , 3 4 5 ⟶ 3 13 , 3 4 6 ⟶ 3 14 , 3 4 7 ⟶ 3 15 , 16 17 9 →= 1 , 16 17 10 →= 8 , 16 17 11 →= 16 , 16 17 12 →= 18 , 6 17 9 →= 2 , 6 17 10 →= 5 , 6 17 11 →= 6 , 6 17 12 →= 7 , 14 17 9 →= 4 , 14 17 10 →= 13 , 14 17 11 →= 14 , 14 17 12 →= 15 , 11 17 9 →= 9 , 11 17 10 →= 10 , 11 17 11 →= 11 , 11 17 12 →= 12 , 19 17 9 →= 20 , 19 17 10 →= 17 , 19 17 11 →= 19 , 19 17 12 →= 21 , 22 17 9 →= 23 , 22 17 10 →= 24 , 22 17 11 →= 22 , 22 17 12 →= 25 , 16 20 2 →= 1 2 5 9 2 , 16 20 5 →= 1 2 5 9 5 , 16 20 6 →= 1 2 5 9 6 , 16 20 7 →= 1 2 5 9 7 , 6 20 2 →= 2 2 5 9 2 , 6 20 5 →= 2 2 5 9 5 , 6 20 6 →= 2 2 5 9 6 , 6 20 7 →= 2 2 5 9 7 , 14 20 2 →= 4 2 5 9 2 , 14 20 5 →= 4 2 5 9 5 , 14 20 6 →= 4 2 5 9 6 , 14 20 7 →= 4 2 5 9 7 , 11 20 2 →= 9 2 5 9 2 , 11 20 5 →= 9 2 5 9 5 , 11 20 6 →= 9 2 5 9 6 , 11 20 7 →= 9 2 5 9 7 , 19 20 2 →= 20 2 5 9 2 , 19 20 5 →= 20 2 5 9 5 , 19 20 6 →= 20 2 5 9 6 , 19 20 7 →= 20 2 5 9 7 , 22 20 2 →= 23 2 5 9 2 , 22 20 5 →= 23 2 5 9 5 , 22 20 6 →= 23 2 5 9 6 , 22 20 7 →= 23 2 5 9 7 , 8 9 2 →= 16 17 9 , 8 9 5 →= 16 17 10 , 8 9 6 →= 16 17 11 , 8 9 7 →= 16 17 12 , 5 9 2 →= 6 17 9 , 5 9 5 →= 6 17 10 , 5 9 6 →= 6 17 11 , 5 9 7 →= 6 17 12 , 13 9 2 →= 14 17 9 , 13 9 5 →= 14 17 10 , 13 9 6 →= 14 17 11 ,
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