SRS Standard pair #516972401

details

property	value
status	complete
benchmark	212693.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n095.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	MnM 3.18b
configuration	default
runtime (wallclock)	3.35140919685 seconds
cpu usage	8.549034339
max memory	1.81737472E9

stage attributes

key	value
output-size	89535
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 { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2, 3 ↦ 3, 4 ↦ 4, 5 ↦ 5 },
it remains to prove termination of the 49-rule system
{ 0 1 2 ⟶ 0 0 2 1 ,
  0 1 2 ⟶ 0 2 1 3 ,
  0 1 2 ⟶ 0 0 2 1 4 4 ,
  0 3 1 ⟶ 0 1 3 4 0 ,
  0 3 1 ⟶ 0 1 3 4 4 ,
  0 3 1 ⟶ 1 3 4 4 4 0 ,
  0 3 2 ⟶ 0 2 1 3 ,
  0 3 2 ⟶ 0 2 3 4 ,
  0 3 2 ⟶ 0 0 2 4 3 ,
  0 3 2 ⟶ 0 2 1 4 3 ,
  0 3 2 ⟶ 0 2 4 3 3 ,
  0 3 2 ⟶ 0 2 1 3 3 4 ,
  0 3 2 ⟶ 0 2 3 4 5 5 ,
  0 3 2 ⟶ 2 4 4 3 4 0 ,
  0 4 1 ⟶ 0 1 4 4 ,
  0 4 1 ⟶ 0 2 1 4 ,
  0 4 2 ⟶ 0 2 1 4 ,
  0 4 2 ⟶ 0 2 3 4 ,
  0 4 2 ⟶ 0 2 4 3 ,
  2 0 1 ⟶ 5 0 2 1 ,
  2 3 1 ⟶ 1 3 5 2 ,
  2 3 1 ⟶ 0 2 1 3 5 ,
  2 3 1 ⟶ 1 4 3 5 2 ,
  0 2 0 1 ⟶ 5 0 0 2 1 ,
  0 3 1 1 ⟶ 0 1 4 1 3 4 ,
  0 3 2 1 ⟶ 0 0 3 4 2 1 ,
  0 3 2 2 ⟶ 1 3 4 0 2 2 ,
  0 4 1 2 ⟶ 1 4 0 2 5 ,
  0 4 3 2 ⟶ 2 3 4 4 0 0 ,
  0 5 3 1 ⟶ 0 1 4 3 5 4 ,
  0 5 3 1 ⟶ 0 1 5 3 4 0 ,
  0 5 3 2 ⟶ 0 2 4 5 3 ,
  0 5 3 2 ⟶ 0 2 5 3 3 ,
  2 0 3 1 ⟶ 2 0 1 3 5 2 ,
  2 0 4 1 ⟶ 2 0 1 4 5 ,
  2 5 3 2 ⟶ 2 5 2 3 3 ,
  2 5 4 2 ⟶ 0 2 5 2 4 ,
  0 0 3 2 1 ⟶ 0 0 1 3 5 2 ,
  0 1 0 3 2 ⟶ 0 1 4 3 2 0 ,
  0 1 0 3 2 ⟶ 2 3 1 0 0 5 ,
  0 3 2 5 1 ⟶ 0 2 5 1 3 3 ,
  0 5 1 1 2 ⟶ 0 2 4 1 1 5 ,
  0 5 1 2 2 ⟶ 0 2 5 2 1 2 ,
  0 5 3 2 1 ⟶ 0 1 3 4 2 5 ,
  0 5 5 3 2 ⟶ 0 2 5 1 3 5 ,
  2 0 3 1 1 ⟶ 2 1 0 1 3 4 ,
  2 2 0 3 1 ⟶ 1 3 0 2 5 2 ,
  2 2 0 5 1 ⟶ 2 0 2 1 5 1 ,
  2 5 5 4 1 ⟶ 5 5 2 1 3 4 }

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

After renaming modulo the bijection { (0,0) ↦ 0, (0,1) ↦ 1, (1,2) ↦ 2, (2,0) ↦ 3, (0,2) ↦ 4, (2,1) ↦ 5, (1,0) ↦ 6, (1,1) ↦ 7, (2,2) ↦ 8, (2,3) ↦ 9, (1,3) ↦ 10, (2,4) ↦ 11, (1,4) ↦ 12, (2,5) ↦ 13, (1,5) ↦ 14, (2,7) ↦ 15, (1,7) ↦ 16, (3,0) ↦ 17, (4,0) ↦ 18, (5,0) ↦ 19, (6,0) ↦ 20, (3,1) ↦ 21, (3,2) ↦ 22, (3,3) ↦ 23, (3,4) ↦ 24, (3,5) ↦ 25, (3,7) ↦ 26, (4,4) ↦ 27, (4,1) ↦ 28, (4,2) ↦ 29, (4,3) ↦ 30, (4,5) ↦ 31, (4,7) ↦ 32, (0,3) ↦ 33, (0,4) ↦ 34, (0,5) ↦ 35, (0,7) ↦ 36, (5,1) ↦ 37, (6,1) ↦ 38, (5,5) ↦ 39, (5,2) ↦ 40, (5,3) ↦ 41, (5,4) ↦ 42, (5,7) ↦ 43, (6,2) ↦ 44, (6,5) ↦ 45 },
it remains to prove termination of the 2401-rule system
{ 0 1 2 3 ⟶ 0 0 4 5 6 ,
  0 1 2 5 ⟶ 0 0 4 5 7 ,
  0 1 2 8 ⟶ 0 0 4 5 2 ,
  0 1 2 9 ⟶ 0 0 4 5 10 ,
  0 1 2 11 ⟶ 0 0 4 5 12 ,
  0 1 2 13 ⟶ 0 0 4 5 14 ,
  0 1 2 15 ⟶ 0 0 4 5 16 ,
  6 1 2 3 ⟶ 6 0 4 5 6 ,
  6 1 2 5 ⟶ 6 0 4 5 7 ,
  6 1 2 8 ⟶ 6 0 4 5 2 ,
  6 1 2 9 ⟶ 6 0 4 5 10 ,
  6 1 2 11 ⟶ 6 0 4 5 12 ,
  6 1 2 13 ⟶ 6 0 4 5 14 ,
  6 1 2 15 ⟶ 6 0 4 5 16 ,
  3 1 2 3 ⟶ 3 0 4 5 6 ,
  3 1 2 5 ⟶ 3 0 4 5 7 ,
  3 1 2 8 ⟶ 3 0 4 5 2 ,
  3 1 2 9 ⟶ 3 0 4 5 10 ,
  3 1 2 11 ⟶ 3 0 4 5 12 ,
  3 1 2 13 ⟶ 3 0 4 5 14 ,
  3 1 2 15 ⟶ 3 0 4 5 16 ,
  17 1 2 3 ⟶ 17 0 4 5 6 ,
  17 1 2 5 ⟶ 17 0 4 5 7 ,
  17 1 2 8 ⟶ 17 0 4 5 2 ,
  17 1 2 9 ⟶ 17 0 4 5 10 ,
  17 1 2 11 ⟶ 17 0 4 5 12 ,
  17 1 2 13 ⟶ 17 0 4 5 14 ,
  17 1 2 15 ⟶ 17 0 4 5 16 ,
  18 1 2 3 ⟶ 18 0 4 5 6 ,
  18 1 2 5 ⟶ 18 0 4 5 7 ,
  18 1 2 8 ⟶ 18 0 4 5 2 ,
  18 1 2 9 ⟶ 18 0 4 5 10 ,
  18 1 2 11 ⟶ 18 0 4 5 12 ,
  18 1 2 13 ⟶ 18 0 4 5 14 ,
  18 1 2 15 ⟶ 18 0 4 5 16 ,
  19 1 2 3 ⟶ 19 0 4 5 6 ,

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