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SRS Standard pair #516968945
details
property
value
status
complete
benchmark
z065.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n173.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
1.70926785469 seconds
cpu usage
5.349279938
max memory
1.405202432E9
stage attributes
key
value
output-size
3664
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 { 0 ↦ 0, * ↦ 1, 1 ↦ 2, # ↦ 3, $ ↦ 4 }, it remains to prove termination of the 7-rule system { 0 1 ⟶ 1 2 , 2 1 ⟶ 0 3 , 3 0 ⟶ 0 3 , 3 2 ⟶ 2 3 , 3 4 ⟶ 1 4 , 3 3 ⟶ 3 , 3 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 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ After renaming modulo the bijection { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2, 3 ↦ 3, 4 ↦ 4 }, it remains to prove termination of the 5-rule system { 0 1 ⟶ 1 2 , 2 1 ⟶ 0 3 , 3 0 ⟶ 0 3 , 3 2 ⟶ 2 3 , 3 4 ⟶ 1 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, (3,↑) ↦ 4, (0,↓) ↦ 5, (2,↓) ↦ 6, (4,↓) ↦ 7 }, it remains to prove termination of the 12-rule system { 0 1 ⟶ 2 , 2 1 ⟶ 0 3 , 2 1 ⟶ 4 , 4 5 ⟶ 0 3 , 4 5 ⟶ 4 , 4 6 ⟶ 2 3 , 4 6 ⟶ 4 , 5 1 →= 1 6 , 6 1 →= 5 3 , 3 5 →= 5 3 , 3 6 →= 6 3 , 3 7 →= 1 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 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 5 ↦ ⎛ ⎞
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