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SRS Standard pair #516968765
details
property
value
status
complete
benchmark
z111.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n065.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
1.12175798416 seconds
cpu usage
2.875634344
max memory
6.9900288E8
stage attributes
key
value
output-size
5720
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, d ↦ 3 }, it remains to prove termination of the 6-rule system { 0 0 ⟶ 1 2 2 2 , 1 2 ⟶ 3 3 3 3 , 0 ⟶ 3 2 3 , 1 1 ⟶ 2 2 2 , 2 2 ⟶ 3 3 3 , 2 3 3 ⟶ 0 } The system was reversed. After renaming modulo the bijection { 0 ↦ 0, 2 ↦ 1, 1 ↦ 2, 3 ↦ 3 }, it remains to prove termination of the 6-rule system { 0 0 ⟶ 1 1 1 2 , 1 2 ⟶ 3 3 3 3 , 0 ⟶ 3 1 3 , 2 2 ⟶ 1 1 1 , 1 1 ⟶ 3 3 3 , 3 3 1 ⟶ 0 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 ↦ ⎛ ⎞ ⎜ 1 25 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 11 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 17 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 7 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ After renaming modulo the bijection { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2, 3 ↦ 3 }, it remains to prove termination of the 4-rule system { 0 0 ⟶ 1 1 1 2 , 1 2 ⟶ 3 3 3 3 , 0 ⟶ 3 1 3 , 3 3 1 ⟶ 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, (3,↑) ↦ 5, (3,↓) ↦ 6 }, it remains to prove termination of the 15-rule system { 0 1 ⟶ 2 3 3 4 , 0 1 ⟶ 2 3 4 , 0 1 ⟶ 2 4 , 2 4 ⟶ 5 6 6 6 , 2 4 ⟶ 5 6 6 , 2 4 ⟶ 5 6 , 2 4 ⟶ 5 , 0 ⟶ 5 3 6 , 0 ⟶ 2 6 , 0 ⟶ 5 , 5 6 3 ⟶ 0 , 1 1 →= 3 3 3 4 , 3 4 →= 6 6 6 6 , 1 →= 6 3 6 , 6 6 3 →= 1 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 ↦ ⎛ ⎞ ⎜ 1 2 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 3 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠
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