SRS Standard pair #516973649

details

property	value
status	complete
benchmark	size-12-alpha-3-num-74.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n098.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	MnM 3.18b
configuration	default
runtime (wallclock)	1.71391510963 seconds
cpu usage	3.999614321
max memory	7.35043584E8

stage attributes

key	value
output-size	7074
starexec-result	YES

output

/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES

After renaming modulo the bijection { a ↦ 0, b ↦ 1, c ↦ 2 },
it remains to prove termination of the 5-rule system
{ 0 ⟶ ,
  0 0 ⟶ 1 ,
  1 ⟶ 2 ,
  1 2 ⟶ 2 1 0 ,
  2 ⟶ }

The system was reversed.

After renaming modulo the bijection { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2 },
it remains to prove termination of the 5-rule system
{ 0 ⟶ ,
  0 0 ⟶ 1 ,
  1 ⟶ 2 ,
  2 1 ⟶ 0 1 2 ,
  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, (1,↓) ↦ 4, (2,↓) ↦ 5 },
it remains to prove termination of the 10-rule system
{ 0 1 ⟶ 2 ,
  2 ⟶ 3 ,
  3 4 ⟶ 0 4 5 ,
  3 4 ⟶ 2 5 ,
  3 4 ⟶ 3 ,
  1 →= ,
  1 1 →= 4 ,
  4 →= 5 ,
  5 4 →= 1 4 5 ,
  5 →= }

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, (2,4) ↦ 6, (1,5) ↦ 7, (2,5) ↦ 8, (1,7) ↦ 9, (2,7) ↦ 10, (6,3) ↦ 11, (3,1) ↦ 12, (3,4) ↦ 13, (3,5) ↦ 14, (3,7) ↦ 15, (4,1) ↦ 16, (0,4) ↦ 17, (4,5) ↦ 18, (5,1) ↦ 19, (4,4) ↦ 20, (5,4) ↦ 21, (5,5) ↦ 22, (4,7) ↦ 23, (5,7) ↦ 24, (0,5) ↦ 25, (0,7) ↦ 26, (6,1) ↦ 27, (6,4) ↦ 28, (6,5) ↦ 29, (6,7) ↦ 30 },
it remains to prove termination of the 160-rule system
{ 0 1 2 ⟶ 3 4 ,
  0 1 5 ⟶ 3 6 ,
  0 1 7 ⟶ 3 8 ,
  0 1 9 ⟶ 3 10 ,
  3 4 ⟶ 11 12 ,
  3 6 ⟶ 11 13 ,
  3 8 ⟶ 11 14 ,
  3 10 ⟶ 11 15 ,
  11 13 16 ⟶ 0 17 18 19 ,
  11 13 20 ⟶ 0 17 18 21 ,
  11 13 18 ⟶ 0 17 18 22 ,
  11 13 23 ⟶ 0 17 18 24 ,
  11 13 16 ⟶ 3 8 19 ,
  11 13 20 ⟶ 3 8 21 ,
  11 13 18 ⟶ 3 8 22 ,
  11 13 23 ⟶ 3 8 24 ,
  11 13 16 ⟶ 11 12 ,
  11 13 20 ⟶ 11 13 ,
  11 13 18 ⟶ 11 14 ,
  11 13 23 ⟶ 11 15 ,
  1 2 →= 1 ,
  1 5 →= 17 ,
  1 7 →= 25 ,
  1 9 →= 26 ,
  2 2 →= 2 ,
  2 5 →= 5 ,
  2 7 →= 7 ,
  2 9 →= 9 ,
  4 2 →= 4 ,
  4 5 →= 6 ,
  4 7 →= 8 ,
  4 9 →= 10 ,
  12 2 →= 12 ,
  12 5 →= 13 ,
  12 7 →= 14 ,
  12 9 →= 15 ,
  16 2 →= 16 ,
  16 5 →= 20 ,
  16 7 →= 18 ,
  16 9 →= 23 ,
  19 2 →= 19 ,
  19 5 →= 21 ,
  19 7 →= 22 ,
  19 9 →= 24 ,
  27 2 →= 27 ,
  27 5 →= 28 ,
  27 7 →= 29 ,
  27 9 →= 30 ,
  1 2 2 →= 17 16 ,
  1 2 5 →= 17 20 ,
  1 2 7 →= 17 18 ,
  1 2 9 →= 17 23 ,
  2 2 2 →= 5 16 ,
  2 2 5 →= 5 20 ,
  2 2 7 →= 5 18 ,

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