details

property	value
status	complete
benchmark	4046.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n119.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	MnM 3.18b
configuration	default
runtime (wallclock)	0.924317121506 seconds
cpu usage	2.254361648
max memory	6.29604352E8

stage attributes

key	value
output-size	4348
starexec-result	YES

output

/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES After renaming modulo the bijection { 4 ↦ 0, 2 ↦ 1, 0 ↦ 2, 5 ↦ 3, 3 ↦ 4, 1 ↦ 5 }, it remains to prove termination of the 10-rule system { 0 1 0 ⟶ 1 2 2 3 4 4 3 1 2 0 , 0 0 1 0 1 ⟶ 1 2 3 1 5 0 2 1 2 5 , 2 3 0 1 0 4 ⟶ 3 5 3 3 4 3 4 2 2 2 , 5 5 0 3 4 4 ⟶ 5 4 5 5 4 2 5 1 1 5 , 4 5 0 4 5 1 ⟶ 2 2 5 5 0 1 4 2 2 4 , 4 1 0 1 0 5 ⟶ 2 1 5 5 5 3 4 5 4 4 , 4 4 2 0 5 1 ⟶ 4 3 5 1 2 1 2 3 4 5 , 0 5 0 3 2 3 0 ⟶ 0 5 3 4 5 2 3 4 5 2 , 0 0 2 3 0 1 1 ⟶ 0 2 0 4 0 0 0 3 0 5 , 3 0 3 4 1 0 4 ⟶ 1 3 3 3 2 0 3 2 5 0 } The system was reversed. After renaming modulo the bijection { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2, 3 ↦ 3, 4 ↦ 4, 5 ↦ 5 }, it remains to prove termination of the 10-rule system { 0 1 0 ⟶ 0 2 1 3 4 4 3 2 2 1 , 1 0 1 0 0 ⟶ 5 2 1 2 0 5 1 3 2 1 , 4 0 1 0 3 2 ⟶ 2 2 2 4 3 4 3 3 5 3 , 4 4 3 0 5 5 ⟶ 5 1 1 5 2 4 5 5 4 5 , 1 5 4 0 5 4 ⟶ 4 2 2 4 1 0 5 5 2 2 , 5 0 1 0 1 4 ⟶ 4 4 5 4 3 5 5 5 1 2 , 1 5 0 2 4 4 ⟶ 5 4 3 2 1 2 1 5 3 4 , 0 3 2 3 0 5 0 ⟶ 2 5 4 3 2 5 4 3 5 0 , 1 1 0 3 2 0 0 ⟶ 5 0 3 0 0 0 4 0 2 0 , 4 0 1 4 3 0 3 ⟶ 0 5 2 3 0 2 3 3 3 1 } Applying sparse untiling TRFCU(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { 4 ↦ 0, 3 ↦ 1, 0 ↦ 2, 5 ↦ 3, 1 ↦ 4, 2 ↦ 5 }, it remains to prove termination of the 5-rule system { 0 0 1 2 3 3 ⟶ 3 4 4 3 5 0 3 3 0 3 , 4 3 0 2 3 0 ⟶ 0 5 5 0 4 2 3 3 5 5 , 4 3 2 5 0 0 ⟶ 3 0 1 5 4 5 4 3 1 0 , 2 1 5 1 2 3 2 ⟶ 5 3 0 1 5 3 0 1 3 2 , 4 4 2 1 5 2 2 ⟶ 3 2 1 2 2 2 0 2 5 2 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 1 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 1 ⎟ ⎜ 0 1 0 0 0 0 0 0 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ ⎜ 1 0 1 0 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 1 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 ⎟ popout

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