details

property	value
status	complete
benchmark	size-12-alpha-3-num-283.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n068.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	MnM 3.18b
configuration	default
runtime (wallclock)	1.96530294418 seconds
cpu usage	5.02535318
max memory	8.98527232E8

stage attributes

key	value
output-size	14494
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES After renaming modulo the bijection { a ↦ 0, b ↦ 1, c ↦ 2 }, it remains to prove termination of the 4-rule system { 0 ⟶ , 0 1 ⟶ 2 1 1 , 1 ⟶ 0 0 2 , 2 2 ⟶ } Applying sparse tiling TRFC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { (0,0) ↦ 0, (0,1) ↦ 1, (0,2) ↦ 2, (0,4) ↦ 3, (1,0) ↦ 4, (1,1) ↦ 5, (1,2) ↦ 6, (1,4) ↦ 7, (2,0) ↦ 8, (2,1) ↦ 9, (2,2) ↦ 10, (2,4) ↦ 11, (3,0) ↦ 12, (3,1) ↦ 13, (3,2) ↦ 14, (3,4) ↦ 15 }, it remains to prove termination of the 64-rule system { 0 0 ⟶ 0 , 0 1 ⟶ 1 , 0 2 ⟶ 2 , 0 3 ⟶ 3 , 4 0 ⟶ 4 , 4 1 ⟶ 5 , 4 2 ⟶ 6 , 4 3 ⟶ 7 , 8 0 ⟶ 8 , 8 1 ⟶ 9 , 8 2 ⟶ 10 , 8 3 ⟶ 11 , 12 0 ⟶ 12 , 12 1 ⟶ 13 , 12 2 ⟶ 14 , 12 3 ⟶ 15 , 0 1 4 ⟶ 2 9 5 4 , 0 1 5 ⟶ 2 9 5 5 , 0 1 6 ⟶ 2 9 5 6 , 0 1 7 ⟶ 2 9 5 7 , 4 1 4 ⟶ 6 9 5 4 , 4 1 5 ⟶ 6 9 5 5 , 4 1 6 ⟶ 6 9 5 6 , 4 1 7 ⟶ 6 9 5 7 , 8 1 4 ⟶ 10 9 5 4 , 8 1 5 ⟶ 10 9 5 5 , 8 1 6 ⟶ 10 9 5 6 , 8 1 7 ⟶ 10 9 5 7 , 12 1 4 ⟶ 14 9 5 4 , 12 1 5 ⟶ 14 9 5 5 , 12 1 6 ⟶ 14 9 5 6 , 12 1 7 ⟶ 14 9 5 7 , 1 4 ⟶ 0 0 2 8 , 1 5 ⟶ 0 0 2 9 , 1 6 ⟶ 0 0 2 10 , 1 7 ⟶ 0 0 2 11 , 5 4 ⟶ 4 0 2 8 , 5 5 ⟶ 4 0 2 9 , 5 6 ⟶ 4 0 2 10 , 5 7 ⟶ 4 0 2 11 , 9 4 ⟶ 8 0 2 8 , 9 5 ⟶ 8 0 2 9 , 9 6 ⟶ 8 0 2 10 , 9 7 ⟶ 8 0 2 11 , 13 4 ⟶ 12 0 2 8 , 13 5 ⟶ 12 0 2 9 , 13 6 ⟶ 12 0 2 10 , 13 7 ⟶ 12 0 2 11 , 2 10 8 ⟶ 0 , 2 10 9 ⟶ 1 , 2 10 10 ⟶ 2 , 2 10 11 ⟶ 3 , 6 10 8 ⟶ 4 , 6 10 9 ⟶ 5 , 6 10 10 ⟶ 6 , 6 10 11 ⟶ 7 , 10 10 8 ⟶ 8 , 10 10 9 ⟶ 9 , 10 10 10 ⟶ 10 , 10 10 11 ⟶ 11 , 14 10 8 ⟶ 12 , 14 10 9 ⟶ 13 , 14 10 10 ⟶ 14 , 14 10 11 ⟶ 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 5 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ popout

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