SRS Standard pair #516968261

details

property	value
status	complete
benchmark	aprove3.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n008.star.cs.uiowa.edu
space	Secret_05_SRS

run statistics

property	value
solver	MnM 3.18b
configuration	default
runtime (wallclock)	5.22477293015 seconds
cpu usage	16.731700315
max memory	2.812653568E9

stage attributes

key	value
output-size	77167
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

After renaming modulo the bijection { p ↦ 0, 0 ↦ 1, s ↦ 2, f ↦ 3, g ↦ 4, q ↦ 5, i ↦ 6 },
it remains to prove termination of the 8-rule system
{ 0 1 ⟶ 2 2 1 2 2 0 ,
  0 2 1 ⟶ 1 ,
  0 2 2 ⟶ 2 0 2 ,
  3 2 ⟶ 4 5 6 ,
  4 ⟶ 3 0 0 ,
  5 6 ⟶ 5 2 ,
  5 2 ⟶ 2 2 ,
  6 ⟶ 2 }

Applying sparse tiling TRFC(2) [Geser/Hofbauer/Waldmann, FSCD 2019].

After renaming modulo the bijection { (0,0) ↦ 0, (0,1) ↦ 1, (1,2) ↦ 2, (0,2) ↦ 3, (2,2) ↦ 4, (2,1) ↦ 5, (2,0) ↦ 6, (1,8) ↦ 7, (0,8) ↦ 8, (3,0) ↦ 9, (3,2) ↦ 10, (6,0) ↦ 11, (6,2) ↦ 12, (3,1) ↦ 13, (6,1) ↦ 14, (2,8) ↦ 15, (7,3) ↦ 16, (7,4) ↦ 17, (4,5) ↦ 18, (5,6) ↦ 19, (6,8) ↦ 20, (4,2) ↦ 21, (0,5) ↦ 22, (5,2) ↦ 23, (7,5) ↦ 24, (7,2) ↦ 25 },
it remains to prove termination of the 66-rule system
{ 0 1 2 ⟶ 3 4 5 2 4 6 3 ,
  0 1 7 ⟶ 3 4 5 2 4 6 8 ,
  6 1 2 ⟶ 4 4 5 2 4 6 3 ,
  6 1 7 ⟶ 4 4 5 2 4 6 8 ,
  9 1 2 ⟶ 10 4 5 2 4 6 3 ,
  9 1 7 ⟶ 10 4 5 2 4 6 8 ,
  11 1 2 ⟶ 12 4 5 2 4 6 3 ,
  11 1 7 ⟶ 12 4 5 2 4 6 8 ,
  0 3 5 2 ⟶ 1 2 ,
  0 3 5 7 ⟶ 1 7 ,
  6 3 5 2 ⟶ 5 2 ,
  6 3 5 7 ⟶ 5 7 ,
  9 3 5 2 ⟶ 13 2 ,
  9 3 5 7 ⟶ 13 7 ,
  11 3 5 2 ⟶ 14 2 ,
  11 3 5 7 ⟶ 14 7 ,
  0 3 4 6 ⟶ 3 6 3 6 ,
  0 3 4 5 ⟶ 3 6 3 5 ,
  0 3 4 4 ⟶ 3 6 3 4 ,
  0 3 4 15 ⟶ 3 6 3 15 ,
  6 3 4 6 ⟶ 4 6 3 6 ,
  6 3 4 5 ⟶ 4 6 3 5 ,
  6 3 4 4 ⟶ 4 6 3 4 ,
  6 3 4 15 ⟶ 4 6 3 15 ,
  9 3 4 6 ⟶ 10 6 3 6 ,
  9 3 4 5 ⟶ 10 6 3 5 ,
  9 3 4 4 ⟶ 10 6 3 4 ,
  9 3 4 15 ⟶ 10 6 3 15 ,
  11 3 4 6 ⟶ 12 6 3 6 ,
  11 3 4 5 ⟶ 12 6 3 5 ,
  11 3 4 4 ⟶ 12 6 3 4 ,
  11 3 4 15 ⟶ 12 6 3 15 ,
  16 10 6 ⟶ 17 18 19 11 ,
  16 10 5 ⟶ 17 18 19 14 ,
  16 10 4 ⟶ 17 18 19 12 ,
  16 10 15 ⟶ 17 18 19 20 ,
  17 21 ⟶ 16 9 0 3 ,
  17 18 ⟶ 16 9 0 22 ,
  22 19 11 ⟶ 22 23 6 ,
  22 19 14 ⟶ 22 23 5 ,
  22 19 12 ⟶ 22 23 4 ,
  22 19 20 ⟶ 22 23 15 ,
  18 19 11 ⟶ 18 23 6 ,
  18 19 14 ⟶ 18 23 5 ,
  18 19 12 ⟶ 18 23 4 ,
  18 19 20 ⟶ 18 23 15 ,
  24 19 11 ⟶ 24 23 6 ,
  24 19 14 ⟶ 24 23 5 ,
  24 19 12 ⟶ 24 23 4 ,
  24 19 20 ⟶ 24 23 15 ,
  22 23 6 ⟶ 3 4 6 ,
  22 23 5 ⟶ 3 4 5 ,
  22 23 4 ⟶ 3 4 4 ,
  22 23 15 ⟶ 3 4 15 ,
  18 23 6 ⟶ 21 4 6 ,
  18 23 5 ⟶ 21 4 5 ,
  18 23 4 ⟶ 21 4 4 ,
  18 23 15 ⟶ 21 4 15 ,
  24 23 6 ⟶ 25 4 6 ,
  24 23 5 ⟶ 25 4 5 ,
  24 23 4 ⟶ 25 4 4 ,
  24 23 15 ⟶ 25 4 15 ,
  19 11 ⟶ 23 6 ,
  19 14 ⟶ 23 5 ,
  19 12 ⟶ 23 4 ,
  19 20 ⟶ 23 15 }

The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 2:

0 ↦ ⎛     ⎞
    ⎜ 1 0 ⎟
    ⎜ 0 1 ⎟
    ⎝     ⎠

1 ↦ ⎛     ⎞
    ⎜ 1 0 ⎟

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