SRS Standard pair #516972449

details
property	value
status	complete
benchmark	63142.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n168.star.cs.uiowa.edu
space	ICFP_2010
run statistics
property	value
solver	MnM 3.18b
configuration	default
runtime (wallclock)	1.26746797562 seconds
cpu usage	3.626466981
max memory	9.44951296E8
stage attributes
key	value
output-size	35352
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 },
it remains to prove termination of the 19-rule system
{ 0 0 0 1 0 2 0 2 1 2 0 2 2 ⟶ 0 0 1 0 1 1 0 2 1 0 0 0 1 0 1 1 0 ,
  0 0 0 1 1 2 1 2 1 1 0 0 0 ⟶ 1 0 0 2 2 2 2 1 1 2 0 2 0 0 2 1 0 ,
  0 1 0 1 0 0 1 0 0 2 1 2 0 ⟶ 0 1 0 2 0 0 2 1 0 0 0 0 0 1 0 0 0 ,
  0 1 2 0 2 0 1 1 1 1 0 0 2 ⟶ 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 0 0 ,
  0 1 2 1 1 0 0 2 2 1 0 2 2 ⟶ 1 0 0 2 1 0 0 2 0 0 0 2 0 2 2 2 2 ,
  0 1 2 2 0 0 2 0 0 0 2 0 2 ⟶ 2 1 0 0 0 2 1 1 0 2 0 1 0 2 1 0 2 ,
  0 2 0 1 0 1 1 0 1 2 0 0 1 ⟶ 0 1 1 0 0 0 2 1 1 1 0 2 0 0 2 0 1 ,
  1 0 0 1 0 2 2 0 0 1 2 0 0 ⟶ 0 0 0 0 0 1 0 1 0 1 1 0 1 0 0 2 0 ,
  1 0 1 1 1 2 2 2 2 1 0 0 0 ⟶ 2 1 0 0 1 0 1 0 2 2 1 1 0 0 2 2 2 ,
  1 1 0 0 1 0 0 0 0 1 1 1 2 ⟶ 1 1 0 2 1 0 0 2 1 0 1 0 0 2 0 1 2 ,
  1 1 2 0 1 0 2 1 2 0 1 0 2 ⟶ 1 1 2 1 0 1 0 2 1 1 1 0 1 0 2 0 2 ,
  1 1 2 2 1 1 2 1 0 0 1 0 2 ⟶ 0 0 2 0 2 0 0 0 2 0 0 2 0 0 2 2 2 ,
  2 0 0 0 1 1 2 1 0 2 2 0 0 ⟶ 1 1 0 2 0 1 0 2 2 1 1 1 0 2 2 0 0 ,
  2 0 0 1 1 2 2 1 0 2 2 2 2 ⟶ 1 0 2 2 1 0 1 2 1 0 1 0 0 2 0 2 0 ,
  2 0 0 2 1 2 1 1 0 1 0 0 2 ⟶ 2 1 1 1 1 0 2 0 1 0 1 0 2 1 0 0 2 ,
  2 1 1 2 2 0 2 1 0 0 0 1 0 ⟶ 1 1 2 0 0 2 0 0 1 0 0 2 0 0 0 1 0 ,
  2 1 2 1 1 2 1 0 0 1 0 1 0 ⟶ 2 2 1 1 1 0 0 0 0 1 0 0 2 2 0 1 0 ,
  2 1 2 2 0 2 1 0 2 0 2 1 0 ⟶ 1 0 1 2 0 0 2 0 0 2 1 0 2 1 0 0 0 ,
  2 2 0 1 1 1 1 0 1 0 1 2 0 ⟶ 0 1 1 0 1 1 0 0 2 2 0 1 1 0 1 0 0 }

The system was reversed.

After renaming modulo the bijection { 2 ↦ 0, 0 ↦ 1, 1 ↦ 2 },
it remains to prove termination of the 19-rule system
{ 0 0 1 0 2 0 1 0 1 2 1 1 1 ⟶ 1 2 2 1 2 1 1 1 2 0 1 2 2 1 2 1 1 ,
  1 1 1 2 2 0 2 0 2 2 1 1 1 ⟶ 1 2 0 1 1 0 1 0 2 2 0 0 0 0 1 1 2 ,
  1 0 2 0 1 1 2 1 1 2 1 2 1 ⟶ 1 1 1 2 1 1 1 1 1 2 0 1 1 0 1 2 1 ,
  0 1 1 2 2 2 2 1 0 1 0 2 1 ⟶ 1 1 1 1 0 0 0 1 0 0 1 0 1 1 1 1 1 ,
  0 0 1 2 0 0 1 1 2 2 0 2 1 ⟶ 0 0 0 0 1 0 1 1 1 0 1 1 2 0 1 1 2 ,
  0 1 0 1 1 1 0 1 1 0 0 2 1 ⟶ 0 1 2 0 1 2 1 0 1 2 2 0 1 1 1 2 0 ,
  2 1 1 0 2 1 2 2 1 2 1 0 1 ⟶ 2 1 0 1 1 0 1 2 2 2 0 1 1 1 2 2 1 ,
  1 1 0 2 1 1 0 0 1 2 1 1 2 ⟶ 1 0 1 1 2 1 2 2 1 2 1 2 1 1 1 1 1 ,
  1 1 1 2 0 0 0 0 2 2 2 1 2 ⟶ 0 0 0 1 1 2 2 0 0 1 2 1 2 1 1 2 0 ,
  0 2 2 2 1 1 1 1 2 1 1 2 2 ⟶ 0 2 1 0 1 1 2 1 2 0 1 1 2 0 1 2 2 ,
  0 1 2 1 0 2 0 1 2 1 0 2 2 ⟶ 0 1 0 1 2 1 2 2 2 0 1 2 1 2 0 2 2 ,
  0 1 2 1 1 2 0 2 2 0 0 2 2 ⟶ 0 0 0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 ,
  1 1 0 0 1 2 0 2 2 1 1 1 0 ⟶ 1 1 0 0 1 2 2 2 0 0 1 2 1 0 1 2 2 ,
  0 0 0 0 1 2 0 0 2 2 1 1 0 ⟶ 1 0 1 0 1 1 2 1 2 0 2 1 2 0 0 1 2 ,
  0 1 1 2 1 2 2 0 2 0 1 1 0 ⟶ 0 1 1 2 0 1 2 1 2 1 0 1 2 2 2 2 0 ,
  1 2 1 1 1 2 0 1 0 0 2 2 0 ⟶ 1 2 1 1 1 0 1 1 2 1 1 0 1 1 0 2 2 ,
  1 2 1 2 1 1 2 0 2 2 0 2 0 ⟶ 1 2 1 0 0 1 1 2 1 1 1 1 2 2 2 0 0 ,
  1 2 0 1 0 1 2 0 1 0 0 2 0 ⟶ 1 1 1 2 0 1 2 0 1 1 0 1 1 0 2 1 2 ,
  1 0 2 1 2 1 2 2 2 2 1 0 0 ⟶ 1 1 2 1 2 2 1 0 0 1 1 2 2 1 2 2 1 }

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, (2,0) ↦ 4, (1,2) ↦ 5, (2,1) ↦ 6, (1,1) ↦ 7, (2,2) ↦ 8, (1,4) ↦ 9, (3,0) ↦ 10, (3,1) ↦ 11, (2,4) ↦ 12, (0,4) ↦ 13, (3,2) ↦ 14 },
it remains to prove termination of the 304-rule system
{ 0 0 1 2 3 4 1 2 1 5 6 7 7 2 ⟶ 1 5 8 6 5 6 7 7 5 4 1 5 8 6 5 6 7 2 ,
  0 0 1 2 3 4 1 2 1 5 6 7 7 7 ⟶ 1 5 8 6 5 6 7 7 5 4 1 5 8 6 5 6 7 7 ,
  0 0 1 2 3 4 1 2 1 5 6 7 7 5 ⟶ 1 5 8 6 5 6 7 7 5 4 1 5 8 6 5 6 7 5 ,
  0 0 1 2 3 4 1 2 1 5 6 7 7 9 ⟶ 1 5 8 6 5 6 7 7 5 4 1 5 8 6 5 6 7 9 ,
  2 0 1 2 3 4 1 2 1 5 6 7 7 2 ⟶ 7 5 8 6 5 6 7 7 5 4 1 5 8 6 5 6 7 2 ,
  2 0 1 2 3 4 1 2 1 5 6 7 7 7 ⟶ 7 5 8 6 5 6 7 7 5 4 1 5 8 6 5 6 7 7 ,
  2 0 1 2 3 4 1 2 1 5 6 7 7 5 ⟶ 7 5 8 6 5 6 7 7 5 4 1 5 8 6 5 6 7 5 ,
  2 0 1 2 3 4 1 2 1 5 6 7 7 9 ⟶ 7 5 8 6 5 6 7 7 5 4 1 5 8 6 5 6 7 9 ,
  4 0 1 2 3 4 1 2 1 5 6 7 7 2 ⟶ 6 5 8 6 5 6 7 7 5 4 1 5 8 6 5 6 7 2 ,
  4 0 1 2 3 4 1 2 1 5 6 7 7 7 ⟶ 6 5 8 6 5 6 7 7 5 4 1 5 8 6 5 6 7 7 ,
  4 0 1 2 3 4 1 2 1 5 6 7 7 5 ⟶ 6 5 8 6 5 6 7 7 5 4 1 5 8 6 5 6 7 5 ,
  4 0 1 2 3 4 1 2 1 5 6 7 7 9 ⟶ 6 5 8 6 5 6 7 7 5 4 1 5 8 6 5 6 7 9 ,
  10 0 1 2 3 4 1 2 1 5 6 7 7 2 ⟶ 11 5 8 6 5 6 7 7 5 4 1 5 8 6 5 6 7 2 ,
  10 0 1 2 3 4 1 2 1 5 6 7 7 7 ⟶ 11 5 8 6 5 6 7 7 5 4 1 5 8 6 5 6 7 7 ,
  10 0 1 2 3 4 1 2 1 5 6 7 7 5 ⟶ 11 5 8 6 5 6 7 7 5 4 1 5 8 6 5 6 7 5 ,
  10 0 1 2 3 4 1 2 1 5 6 7 7 9 ⟶ 11 5 8 6 5 6 7 7 5 4 1 5 8 6 5 6 7 9 ,
  1 7 7 5 8 4 3 4 3 8 6 7 7 2 ⟶ 1 5 4 1 7 2 1 2 3 8 4 0 0 0 1 7 5 4 ,
  1 7 7 5 8 4 3 4 3 8 6 7 7 7 ⟶ 1 5 4 1 7 2 1 2 3 8 4 0 0 0 1 7 5 6 ,
  1 7 7 5 8 4 3 4 3 8 6 7 7 5 ⟶ 1 5 4 1 7 2 1 2 3 8 4 0 0 0 1 7 5 8 ,
  1 7 7 5 8 4 3 4 3 8 6 7 7 9 ⟶ 1 5 4 1 7 2 1 2 3 8 4 0 0 0 1 7 5 12 ,
  7 7 7 5 8 4 3 4 3 8 6 7 7 2 ⟶ 7 5 4 1 7 2 1 2 3 8 4 0 0 0 1 7 5 4 ,
  7 7 7 5 8 4 3 4 3 8 6 7 7 7 ⟶ 7 5 4 1 7 2 1 2 3 8 4 0 0 0 1 7 5 6 ,
  7 7 7 5 8 4 3 4 3 8 6 7 7 5 ⟶ 7 5 4 1 7 2 1 2 3 8 4 0 0 0 1 7 5 8 ,
  7 7 7 5 8 4 3 4 3 8 6 7 7 9 ⟶ 7 5 4 1 7 2 1 2 3 8 4 0 0 0 1 7 5 12 ,
  6 7 7 5 8 4 3 4 3 8 6 7 7 2 ⟶ 6 5 4 1 7 2 1 2 3 8 4 0 0 0 1 7 5 4 ,
  6 7 7 5 8 4 3 4 3 8 6 7 7 7 ⟶ 6 5 4 1 7 2 1 2 3 8 4 0 0 0 1 7 5 6 ,
  6 7 7 5 8 4 3 4 3 8 6 7 7 5 ⟶ 6 5 4 1 7 2 1 2 3 8 4 0 0 0 1 7 5 8 ,
  6 7 7 5 8 4 3 4 3 8 6 7 7 9 ⟶ 6 5 4 1 7 2 1 2 3 8 4 0 0 0 1 7 5 12 ,
  11 7 7 5 8 4 3 4 3 8 6 7 7 2 ⟶ 11 5 4 1 7 2 1 2 3 8 4 0 0 0 1 7 5 4 ,
  11 7 7 5 8 4 3 4 3 8 6 7 7 7 ⟶ 11 5 4 1 7 2 1 2 3 8 4 0 0 0 1 7 5 6 ,
  11 7 7 5 8 4 3 4 3 8 6 7 7 5 ⟶ 11 5 4 1 7 2 1 2 3 8 4 0 0 0 1 7 5 8 ,
  11 7 7 5 8 4 3 4 3 8 6 7 7 9 ⟶ 11 5 4 1 7 2 1 2 3 8 4 0 0 0 1 7 5 12 ,
  1 2 3 4 1 7 5 6 7 5 6 5 6 2 ⟶ 1 7 7 5 6 7 7 7 7 5 4 1 7 2 1 5 6 2 ,
  1 2 3 4 1 7 5 6 7 5 6 5 6 7 ⟶ 1 7 7 5 6 7 7 7 7 5 4 1 7 2 1 5 6 7 ,
  1 2 3 4 1 7 5 6 7 5 6 5 6 5 ⟶ 1 7 7 5 6 7 7 7 7 5 4 1 7 2 1 5 6 5 ,
  1 2 3 4 1 7 5 6 7 5 6 5 6 9 ⟶ 1 7 7 5 6 7 7 7 7 5 4 1 7 2 1 5 6 9 ,
  7 2 3 4 1 7 5 6 7 5 6 5 6 2 ⟶ 7 7 7 5 6 7 7 7 7 5 4 1 7 2 1 5 6 2 ,
  7 2 3 4 1 7 5 6 7 5 6 5 6 7 ⟶ 7 7 7 5 6 7 7 7 7 5 4 1 7 2 1 5 6 7 ,
  7 2 3 4 1 7 5 6 7 5 6 5 6 5 ⟶ 7 7 7 5 6 7 7 7 7 5 4 1 7 2 1 5 6 5 ,
  7 2 3 4 1 7 5 6 7 5 6 5 6 9 ⟶ 7 7 7 5 6 7 7 7 7 5 4 1 7 2 1 5 6 9 ,
  6 2 3 4 1 7 5 6 7 5 6 5 6 2 ⟶ 6 7 7 5 6 7 7 7 7 5 4 1 7 2 1 5 6 2 ,
  6 2 3 4 1 7 5 6 7 5 6 5 6 7 ⟶ 6 7 7 5 6 7 7 7 7 5 4 1 7 2 1 5 6 7 ,
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actions all output return to SRS Standard