details

property	value
status	complete
benchmark	uni-7.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n174.star.cs.uiowa.edu
space	Waldmann_06_SRS

run statistics

property	value
solver	MnM 3.18b
configuration	default
runtime (wallclock)	22.6275207996 seconds
cpu usage	87.223993571
max memory	8.356708352E9

stage attributes

key	value
output-size	8494
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 3-rule system { 0 0 0 0 ⟶ 1 1 2 2 , 1 1 1 1 ⟶ 0 0 2 2 , 2 2 2 2 ⟶ 1 0 0 0 } Applying the dependency pairs transformation. Here, ↑ marks so-called defined symbols. After renaming modulo the bijection { (0,↑) ↦ 0, (0,↓) ↦ 1, (1,↑) ↦ 2, (1,↓) ↦ 3, (2,↓) ↦ 4, (2,↑) ↦ 5 }, it remains to prove termination of the 15-rule system { 0 1 1 1 ⟶ 2 3 4 4 , 0 1 1 1 ⟶ 2 4 4 , 0 1 1 1 ⟶ 5 4 , 0 1 1 1 ⟶ 5 , 2 3 3 3 ⟶ 0 1 4 4 , 2 3 3 3 ⟶ 0 4 4 , 2 3 3 3 ⟶ 5 4 , 2 3 3 3 ⟶ 5 , 5 4 4 4 ⟶ 2 1 1 1 , 5 4 4 4 ⟶ 0 1 1 , 5 4 4 4 ⟶ 0 1 , 5 4 4 4 ⟶ 0 , 1 1 1 1 →= 3 3 4 4 , 3 3 3 3 →= 1 1 4 4 , 4 4 4 4 →= 3 1 1 1 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 5 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ After renaming modulo the bijection { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2, 3 ↦ 3, 4 ↦ 4, 5 ↦ 5 }, it remains to prove termination of the 6-rule system { 0 1 1 1 ⟶ 2 3 4 4 , 2 3 3 3 ⟶ 0 1 4 4 , 5 4 4 4 ⟶ 2 1 1 1 , 1 1 1 1 →= 3 3 4 4 , 3 3 3 3 →= 1 1 4 4 , 4 4 4 4 →= 3 1 1 1 } 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 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ popout

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