details

property	value
status	complete
benchmark	uni-1.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n081.star.cs.uiowa.edu
space	Waldmann_06_SRS

run statistics

property	value
solver	MnM 3.18b
configuration	default
runtime (wallclock)	1.54677700996 seconds
cpu usage	1.743470865
max memory	5.3467136E8

stage attributes

key	value
output-size	1836
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, c ↦ 1 }, it remains to prove termination of the 3-rule system { 0 0 0 ⟶ 0 1 0 0 , 1 1 1 ⟶ 0 , 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, (0,3) ↦ 3, (2,0) ↦ 4, (1,1) ↦ 5, (1,3) ↦ 6, (2,1) ↦ 7, (2,3) ↦ 8 }, it remains to prove termination of the 27-rule system { 0 0 0 0 ⟶ 0 1 2 0 0 , 0 0 0 1 ⟶ 0 1 2 0 1 , 0 0 0 3 ⟶ 0 1 2 0 3 , 2 0 0 0 ⟶ 2 1 2 0 0 , 2 0 0 1 ⟶ 2 1 2 0 1 , 2 0 0 3 ⟶ 2 1 2 0 3 , 4 0 0 0 ⟶ 4 1 2 0 0 , 4 0 0 1 ⟶ 4 1 2 0 1 , 4 0 0 3 ⟶ 4 1 2 0 3 , 1 5 5 2 ⟶ 0 0 , 1 5 5 5 ⟶ 0 1 , 1 5 5 6 ⟶ 0 3 , 5 5 5 2 ⟶ 2 0 , 5 5 5 5 ⟶ 2 1 , 5 5 5 6 ⟶ 2 3 , 7 5 5 2 ⟶ 4 0 , 7 5 5 5 ⟶ 4 1 , 7 5 5 6 ⟶ 4 3 , 0 0 ⟶ 0 , 0 1 ⟶ 1 , 0 3 ⟶ 3 , 2 0 ⟶ 2 , 2 1 ⟶ 5 , 2 3 ⟶ 6 , 4 0 ⟶ 4 , 4 1 ⟶ 7 , 4 3 ⟶ 8 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 ↦ ⎛ ⎞ ⎜ 1 6 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 5 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 5 ↦ ⎛ ⎞ ⎜ 1 4 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 6 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 7 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 8 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ After renaming modulo the bijection { }, it remains to prove termination of the 0-rule system { } The system is trivially terminating. popout

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