details

property	value
status	complete
benchmark	z075.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n070.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	MnM 3.18b
configuration	default
runtime (wallclock)	0.86277794838 seconds
cpu usage	2.045697268
max memory	6.4466944E8

stage attributes

key	value
output-size	6837
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 { t ↦ 0, f ↦ 1, c ↦ 2, n ↦ 3, o ↦ 4, s ↦ 5 }, it remains to prove termination of the 9-rule system { 0 1 ⟶ 0 2 3 , 3 1 ⟶ 1 3 , 4 1 ⟶ 1 4 , 3 5 ⟶ 1 5 , 4 5 ⟶ 1 5 , 2 1 ⟶ 1 2 , 2 3 ⟶ 3 2 , 2 4 ⟶ 4 2 , 2 4 ⟶ 4 } 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 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 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 8-rule system { 0 1 ⟶ 0 2 3 , 3 1 ⟶ 1 3 , 4 1 ⟶ 1 4 , 3 5 ⟶ 1 5 , 2 1 ⟶ 1 2 , 2 3 ⟶ 3 2 , 2 4 ⟶ 4 2 , 2 4 ⟶ 4 } Applying the dependency pairs transformation. Here, ↑ marks so-called defined symbols. After renaming modulo the bijection { (0,↑) ↦ 0, (1,↓) ↦ 1, (2,↓) ↦ 2, (3,↓) ↦ 3, (2,↑) ↦ 4, (3,↑) ↦ 5, (4,↑) ↦ 6, (4,↓) ↦ 7, (0,↓) ↦ 8, (5,↓) ↦ 9 }, it remains to prove termination of the 18-rule system { 0 1 ⟶ 0 2 3 , 0 1 ⟶ 4 3 , 0 1 ⟶ 5 , 5 1 ⟶ 5 , 6 1 ⟶ 6 , 4 1 ⟶ 4 , 4 3 ⟶ 5 2 , 4 3 ⟶ 4 , 4 7 ⟶ 6 2 , 4 7 ⟶ 4 , 8 1 →= 8 2 3 , 3 1 →= 1 3 , 7 1 →= 1 7 , 3 9 →= 1 9 , 2 1 →= 1 2 , 2 3 →= 3 2 , 2 7 →= 7 2 , 2 7 →= 7 } 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 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ popout

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