details

property	value
status	complete
benchmark	un07.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n062.star.cs.uiowa.edu
space	Trafo_06

run statistics

property	value
solver	MnM 3.18b
configuration	default
runtime (wallclock)	1.40815997124 seconds
cpu usage	2.796395028
max memory	7.61634816E8

stage attributes

key	value
output-size	2695
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 { b ↦ 0, a ↦ 1 }, it remains to prove termination of the 4-rule system { 0 0 ⟶ 0 1 0 , 0 0 1 0 ⟶ 0 1 0 1 1 0 0 , 0 1 0 ⟶ 0 1 1 0 , 0 1 1 0 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 }, it remains to prove termination of the 10-rule system { 0 1 ⟶ 0 2 1 , 0 1 2 1 ⟶ 0 2 1 2 2 1 1 , 0 1 2 1 ⟶ 0 2 2 1 1 , 0 1 2 1 ⟶ 0 1 , 0 2 1 ⟶ 0 2 2 1 , 0 2 2 1 2 1 ⟶ 0 1 , 1 1 →= 1 2 1 , 1 1 2 1 →= 1 2 1 2 2 1 1 , 1 2 1 →= 1 2 2 1 , 1 2 2 1 2 1 →= 1 1 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 4: 0 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 0 1 1 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 1 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ After renaming modulo the bijection { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2 }, it remains to prove termination of the 7-rule system { 0 1 ⟶ 0 2 1 , 0 1 2 1 ⟶ 0 2 1 2 2 1 1 , 0 1 2 1 ⟶ 0 2 2 1 1 , 0 2 1 ⟶ 0 2 2 1 , 1 1 →= 1 2 1 , 1 1 2 1 →= 1 2 1 2 2 1 1 , 1 2 2 1 2 1 →= 1 1 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 3: 0 ↦ ⎛ ⎞ ⎜ 1 0 1 ⎟ ⎜ 0 1 0 ⎟ ⎜ 0 0 0 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 0 0 ⎟ ⎜ 0 1 0 ⎟ ⎜ 0 1 0 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 0 0 ⎟ ⎜ 0 1 0 ⎟ ⎜ 0 0 0 ⎟ ⎝ ⎠ After renaming modulo the bijection { 0 ↦ 0, 2 ↦ 1, 1 ↦ 2 }, it remains to prove termination of the 4-rule system { 0 1 2 ⟶ 0 1 1 2 , 2 2 →= 2 1 2 , 2 2 1 2 →= 2 1 2 1 1 2 2 , 2 1 1 2 1 2 →= 2 2 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 4: 0 ↦ ⎛ ⎞ ⎜ 1 0 1 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ popout

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