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SRS Standard pair #516972905
details
property
value
status
complete
benchmark
12.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n076.star.cs.uiowa.edu
space
Bouchare_06
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
277.385115862 seconds
cpu usage
873.951495624
max memory
5.7236201472E10
stage attributes
key
value
output-size
1320
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 { b ↦ 0, a ↦ 1 }, it remains to prove termination of the 3-rule system { 0 0 ⟶ 1 1 1 , 0 1 0 ⟶ 1 , 0 1 1 ⟶ 0 1 0 } Applying the dependency pairs transformation. Here, ↑ marks so-called defined symbols. After renaming modulo the bijection { (0,↑) ↦ 0, (1,↓) ↦ 1, (0,↓) ↦ 2 }, it remains to prove termination of the 5-rule system { 0 1 1 ⟶ 0 1 2 , 0 1 1 ⟶ 0 , 2 2 →= 1 1 1 , 2 1 2 →= 1 , 2 1 1 →= 2 1 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 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 1 0 4 ⎟ ⎜ 0 1 2 0 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 11 16 2 ⎟ ⎜ 0 0 1 0 ⎟ ⎝ ⎠ After renaming modulo the bijection { 2 ↦ 0, 1 ↦ 1 }, it remains to prove termination of the 3-rule system { 0 0 →= 1 1 1 , 0 1 0 →= 1 , 0 1 1 →= 0 1 0 } The system is trivially terminating.
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