SRS Standard pair #516972245

details

property	value
status	complete
benchmark	4106.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n097.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	MnM 3.18b
configuration	default
runtime (wallclock)	2.7819070816 seconds
cpu usage	7.953992069
max memory	1.337593856E9

stage attributes

key	value
output-size	153307
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 { 2 ↦ 0, 5 ↦ 1, 4 ↦ 2, 0 ↦ 3, 1 ↦ 4, 3 ↦ 5 },
it remains to prove termination of the 29-rule system
{ 0 1 ⟶ 0 2 3 3 2 4 3 3 4 5 ,
  0 1 ⟶ 0 2 5 3 0 0 0 4 2 5 ,
  4 1 3 ⟶ 4 2 2 2 2 3 2 3 4 4 ,
  0 5 1 ⟶ 0 2 3 3 4 1 4 0 0 4 ,
  0 1 1 ⟶ 0 3 5 3 2 3 5 5 5 2 ,
  2 1 2 ⟶ 2 4 4 4 0 4 2 1 0 2 ,
  0 5 3 2 ⟶ 0 3 3 4 4 5 3 0 2 2 ,
  1 1 4 3 ⟶ 5 0 0 3 1 4 5 2 3 2 ,
  5 4 1 0 1 ⟶ 5 3 0 2 4 0 3 3 1 0 ,
  3 0 1 2 5 0 ⟶ 3 0 4 1 0 3 4 0 4 0 ,
  4 3 1 0 5 2 ⟶ 4 3 3 4 5 3 2 4 3 5 ,
  4 4 1 3 0 5 ⟶ 3 3 2 1 4 4 4 0 0 5 ,
  0 4 3 3 5 0 ⟶ 0 4 2 5 3 3 5 3 5 0 ,
  0 1 3 1 1 1 ⟶ 0 3 4 0 2 3 1 5 1 1 ,
  0 1 5 3 0 4 ⟶ 0 4 2 1 0 4 0 1 0 4 ,
  5 1 3 2 1 1 ⟶ 5 2 3 5 2 1 0 3 5 5 ,
  2 3 0 5 2 0 ⟶ 2 3 3 5 4 2 5 3 0 0 ,
  1 0 1 1 4 3 ⟶ 1 1 2 2 3 2 0 3 4 2 ,
  1 2 0 5 3 1 ⟶ 1 1 2 1 2 5 2 4 5 4 ,
  1 1 4 4 4 1 ⟶ 1 3 4 3 4 4 3 4 2 4 ,
  1 1 0 1 1 3 ⟶ 5 2 1 0 1 5 2 2 4 3 ,
  1 1 2 1 1 2 ⟶ 0 0 0 1 1 2 5 2 3 2 ,
  1 1 1 1 0 1 ⟶ 0 0 5 4 4 2 5 0 2 1 ,
  4 2 3 1 1 3 1 ⟶ 4 2 5 5 3 2 4 1 5 5 ,
  0 0 5 1 4 0 1 ⟶ 0 0 4 0 2 3 5 5 0 1 ,
  5 2 0 5 5 1 1 ⟶ 1 5 0 2 3 0 2 2 3 1 ,
  2 0 1 5 2 1 1 ⟶ 1 4 1 0 1 3 2 4 4 3 ,
  2 0 1 1 2 0 2 ⟶ 1 1 5 0 3 0 4 3 5 3 ,
  2 1 1 2 0 5 0 ⟶ 2 4 4 1 5 1 4 0 2 0 }

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

After renaming modulo the bijection { (0,0) ↦ 0, (0,1) ↦ 1, (1,0) ↦ 2, (0,2) ↦ 3, (2,3) ↦ 4, (3,3) ↦ 5, (3,2) ↦ 6, (2,4) ↦ 7, (4,3) ↦ 8, (3,4) ↦ 9, (4,5) ↦ 10, (5,0) ↦ 11, (1,1) ↦ 12, (5,1) ↦ 13, (1,2) ↦ 14, (5,2) ↦ 15, (1,3) ↦ 16, (5,3) ↦ 17, (1,4) ↦ 18, (5,4) ↦ 19, (1,5) ↦ 20, (5,5) ↦ 21, (1,7) ↦ 22, (5,7) ↦ 23, (2,0) ↦ 24, (3,0) ↦ 25, (4,0) ↦ 26, (6,0) ↦ 27, (2,5) ↦ 28, (0,4) ↦ 29, (4,2) ↦ 30, (4,1) ↦ 31, (2,2) ↦ 32, (4,4) ↦ 33, (3,1) ↦ 34, (3,5) ↦ 35, (3,7) ↦ 36, (4,7) ↦ 37, (6,4) ↦ 38, (0,5) ↦ 39, (0,3) ↦ 40, (2,1) ↦ 41, (2,7) ↦ 42, (6,2) ↦ 43, (6,1) ↦ 44, (6,5) ↦ 45, (0,7) ↦ 46, (6,3) ↦ 47 },
it remains to prove termination of the 1421-rule system
{ 0 1 2 ⟶ 0 3 4 5 6 7 8 5 9 10 11 ,
  0 1 12 ⟶ 0 3 4 5 6 7 8 5 9 10 13 ,
  0 1 14 ⟶ 0 3 4 5 6 7 8 5 9 10 15 ,
  0 1 16 ⟶ 0 3 4 5 6 7 8 5 9 10 17 ,
  0 1 18 ⟶ 0 3 4 5 6 7 8 5 9 10 19 ,
  0 1 20 ⟶ 0 3 4 5 6 7 8 5 9 10 21 ,
  0 1 22 ⟶ 0 3 4 5 6 7 8 5 9 10 23 ,
  2 1 2 ⟶ 2 3 4 5 6 7 8 5 9 10 11 ,
  2 1 12 ⟶ 2 3 4 5 6 7 8 5 9 10 13 ,
  2 1 14 ⟶ 2 3 4 5 6 7 8 5 9 10 15 ,
  2 1 16 ⟶ 2 3 4 5 6 7 8 5 9 10 17 ,
  2 1 18 ⟶ 2 3 4 5 6 7 8 5 9 10 19 ,
  2 1 20 ⟶ 2 3 4 5 6 7 8 5 9 10 21 ,
  2 1 22 ⟶ 2 3 4 5 6 7 8 5 9 10 23 ,
  24 1 2 ⟶ 24 3 4 5 6 7 8 5 9 10 11 ,
  24 1 12 ⟶ 24 3 4 5 6 7 8 5 9 10 13 ,
  24 1 14 ⟶ 24 3 4 5 6 7 8 5 9 10 15 ,
  24 1 16 ⟶ 24 3 4 5 6 7 8 5 9 10 17 ,
  24 1 18 ⟶ 24 3 4 5 6 7 8 5 9 10 19 ,
  24 1 20 ⟶ 24 3 4 5 6 7 8 5 9 10 21 ,
  24 1 22 ⟶ 24 3 4 5 6 7 8 5 9 10 23 ,
  25 1 2 ⟶ 25 3 4 5 6 7 8 5 9 10 11 ,
  25 1 12 ⟶ 25 3 4 5 6 7 8 5 9 10 13 ,
  25 1 14 ⟶ 25 3 4 5 6 7 8 5 9 10 15 ,
  25 1 16 ⟶ 25 3 4 5 6 7 8 5 9 10 17 ,
  25 1 18 ⟶ 25 3 4 5 6 7 8 5 9 10 19 ,
  25 1 20 ⟶ 25 3 4 5 6 7 8 5 9 10 21 ,
  25 1 22 ⟶ 25 3 4 5 6 7 8 5 9 10 23 ,
  26 1 2 ⟶ 26 3 4 5 6 7 8 5 9 10 11 ,
  26 1 12 ⟶ 26 3 4 5 6 7 8 5 9 10 13 ,
  26 1 14 ⟶ 26 3 4 5 6 7 8 5 9 10 15 ,
  26 1 16 ⟶ 26 3 4 5 6 7 8 5 9 10 17 ,
  26 1 18 ⟶ 26 3 4 5 6 7 8 5 9 10 19 ,
  26 1 20 ⟶ 26 3 4 5 6 7 8 5 9 10 21 ,
  26 1 22 ⟶ 26 3 4 5 6 7 8 5 9 10 23 ,
  11 1 2 ⟶ 11 3 4 5 6 7 8 5 9 10 11 ,
  11 1 12 ⟶ 11 3 4 5 6 7 8 5 9 10 13 ,
  11 1 14 ⟶ 11 3 4 5 6 7 8 5 9 10 15 ,
  11 1 16 ⟶ 11 3 4 5 6 7 8 5 9 10 17 ,
  11 1 18 ⟶ 11 3 4 5 6 7 8 5 9 10 19 ,
  11 1 20 ⟶ 11 3 4 5 6 7 8 5 9 10 21 ,
  11 1 22 ⟶ 11 3 4 5 6 7 8 5 9 10 23 ,
  27 1 2 ⟶ 27 3 4 5 6 7 8 5 9 10 11 ,
  27 1 12 ⟶ 27 3 4 5 6 7 8 5 9 10 13 ,
  27 1 14 ⟶ 27 3 4 5 6 7 8 5 9 10 15 ,
  27 1 16 ⟶ 27 3 4 5 6 7 8 5 9 10 17 ,
  27 1 18 ⟶ 27 3 4 5 6 7 8 5 9 10 19 ,
  27 1 20 ⟶ 27 3 4 5 6 7 8 5 9 10 21 ,
  27 1 22 ⟶ 27 3 4 5 6 7 8 5 9 10 23 ,
  0 1 2 ⟶ 0 3 28 17 25 0 0 29 30 28 11 ,
  0 1 12 ⟶ 0 3 28 17 25 0 0 29 30 28 13 ,
  0 1 14 ⟶ 0 3 28 17 25 0 0 29 30 28 15 ,
  0 1 16 ⟶ 0 3 28 17 25 0 0 29 30 28 17 ,
  0 1 18 ⟶ 0 3 28 17 25 0 0 29 30 28 19 ,
  0 1 20 ⟶ 0 3 28 17 25 0 0 29 30 28 21 ,
  0 1 22 ⟶ 0 3 28 17 25 0 0 29 30 28 23 ,

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