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SRS Standard pair #516973973
details
property
value
status
complete
benchmark
size-12-alpha-3-num-86.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n071.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
6.0880010128 seconds
cpu usage
21.832670792
max memory
3.599732736E9
stage attributes
key
value
output-size
79507
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 0 ⟶ 1 0 2 1 , 1 ⟶ 2 , 1 2 ⟶ 0 } The system was reversed. After renaming modulo the bijection { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2 }, it remains to prove termination of the 4-rule system { 0 ⟶ , 0 0 ⟶ 1 2 0 1 , 1 ⟶ 2 , 2 1 ⟶ 0 } Applying the dependency pairs transformation. Here, ↑ marks so-called defined symbols. After renaming modulo the bijection { (0,↑) ↦ 0, (0,↓) ↦ 1, (1,↑) ↦ 2, (2,↓) ↦ 3, (1,↓) ↦ 4, (2,↑) ↦ 5 }, it remains to prove termination of the 10-rule system { 0 1 ⟶ 2 3 1 4 , 0 1 ⟶ 5 1 4 , 0 1 ⟶ 0 4 , 0 1 ⟶ 2 , 2 ⟶ 5 , 5 4 ⟶ 0 , 1 →= , 1 1 →= 4 3 1 4 , 4 →= 3 , 3 4 →= 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, (2,3) ↦ 4, (3,1) ↦ 5, (1,4) ↦ 6, (4,1) ↦ 7, (1,3) ↦ 8, (4,3) ↦ 9, (4,4) ↦ 10, (1,7) ↦ 11, (4,7) ↦ 12, (6,5) ↦ 13, (5,1) ↦ 14, (0,4) ↦ 15, (2,1) ↦ 16, (2,4) ↦ 17, (2,7) ↦ 18, (5,3) ↦ 19, (5,4) ↦ 20, (5,7) ↦ 21, (0,3) ↦ 22, (0,7) ↦ 23, (3,3) ↦ 24, (3,4) ↦ 25, (3,7) ↦ 26, (6,1) ↦ 27, (6,3) ↦ 28, (6,4) ↦ 29, (6,7) ↦ 30 }, it remains to prove termination of the 136-rule system { 0 1 2 ⟶ 3 4 5 6 7 , 0 1 8 ⟶ 3 4 5 6 9 , 0 1 6 ⟶ 3 4 5 6 10 , 0 1 11 ⟶ 3 4 5 6 12 , 0 1 2 ⟶ 13 14 6 7 , 0 1 8 ⟶ 13 14 6 9 , 0 1 6 ⟶ 13 14 6 10 , 0 1 11 ⟶ 13 14 6 12 , 0 1 2 ⟶ 0 15 7 , 0 1 8 ⟶ 0 15 9 , 0 1 6 ⟶ 0 15 10 , 0 1 11 ⟶ 0 15 12 , 0 1 2 ⟶ 3 16 , 0 1 8 ⟶ 3 4 , 0 1 6 ⟶ 3 17 , 0 1 11 ⟶ 3 18 , 3 16 ⟶ 13 14 , 3 4 ⟶ 13 19 , 3 17 ⟶ 13 20 , 3 18 ⟶ 13 21 , 13 20 7 ⟶ 0 1 , 13 20 9 ⟶ 0 22 , 13 20 10 ⟶ 0 15 , 13 20 12 ⟶ 0 23 , 1 2 →= 1 , 1 8 →= 22 , 1 6 →= 15 , 1 11 →= 23 , 2 2 →= 2 , 2 8 →= 8 , 2 6 →= 6 , 2 11 →= 11 , 16 2 →= 16 , 16 8 →= 4 , 16 6 →= 17 , 16 11 →= 18 , 5 2 →= 5 , 5 8 →= 24 , 5 6 →= 25 , 5 11 →= 26 , 7 2 →= 7 , 7 8 →= 9 , 7 6 →= 10 , 7 11 →= 12 , 14 2 →= 14 , 14 8 →= 19 , 14 6 →= 20 , 14 11 →= 21 , 27 2 →= 27 , 27 8 →= 28 , 27 6 →= 29 , 27 11 →= 30 , 1 2 2 →= 15 9 5 6 7 , 1 2 8 →= 15 9 5 6 9 , 1 2 6 →= 15 9 5 6 10 , 1 2 11 →= 15 9 5 6 12 , 2 2 2 →= 6 9 5 6 7 ,
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