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SRS Standard pair #516975605
details
property
value
status
complete
benchmark
5-matchbox.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n077.star.cs.uiowa.edu
space
Secret_06_SRS
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
1.74879097939 seconds
cpu usage
5.246956313
max memory
1.078833152E9
stage attributes
key
value
output-size
11983
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 { a ↦ 0, b ↦ 1, c ↦ 2 }, it remains to prove termination of the 3-rule system { 0 1 2 ⟶ 0 0 1 , 0 1 2 ⟶ 1 2 1 2 , 0 1 2 ⟶ 2 1 2 0 } The system was reversed. After renaming modulo the bijection { 2 ↦ 0, 1 ↦ 1, 0 ↦ 2 }, it remains to prove termination of the 3-rule system { 0 1 2 ⟶ 1 2 2 , 0 1 2 ⟶ 0 1 0 1 , 0 1 2 ⟶ 2 0 1 0 } Applying the dependency pairs transformation. Here, ↑ marks so-called defined symbols. After renaming modulo the bijection { (0,↑) ↦ 0, (1,↓) ↦ 1, (2,↓) ↦ 2, (0,↓) ↦ 3 }, it remains to prove termination of the 7-rule system { 0 1 2 ⟶ 0 1 3 1 , 0 1 2 ⟶ 0 1 , 0 1 2 ⟶ 0 1 3 , 0 1 2 ⟶ 0 , 3 1 2 →= 1 2 2 , 3 1 2 →= 3 1 3 1 , 3 1 2 →= 2 3 1 3 } Applying sparse tiling TROC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { (4,0) ↦ 0, (0,1) ↦ 1, (1,2) ↦ 2, (2,1) ↦ 3, (1,3) ↦ 4, (3,1) ↦ 5, (1,1) ↦ 6, (2,2) ↦ 7, (2,3) ↦ 8, (2,5) ↦ 9, (1,5) ↦ 10, (3,2) ↦ 11, (3,3) ↦ 12, (3,5) ↦ 13, (0,2) ↦ 14, (0,3) ↦ 15, (0,5) ↦ 16, (4,3) ↦ 17, (4,1) ↦ 18, (4,2) ↦ 19 }, it remains to prove termination of the 76-rule system { 0 1 2 3 ⟶ 0 1 4 5 6 , 0 1 2 7 ⟶ 0 1 4 5 2 , 0 1 2 8 ⟶ 0 1 4 5 4 , 0 1 2 9 ⟶ 0 1 4 5 10 , 0 1 2 3 ⟶ 0 1 6 , 0 1 2 7 ⟶ 0 1 2 , 0 1 2 8 ⟶ 0 1 4 , 0 1 2 9 ⟶ 0 1 10 , 0 1 2 3 ⟶ 0 1 4 5 , 0 1 2 7 ⟶ 0 1 4 11 , 0 1 2 8 ⟶ 0 1 4 12 , 0 1 2 9 ⟶ 0 1 4 13 , 0 1 2 3 ⟶ 0 1 , 0 1 2 7 ⟶ 0 14 , 0 1 2 8 ⟶ 0 15 , 0 1 2 9 ⟶ 0 16 , 15 5 2 3 →= 1 2 7 3 , 15 5 2 7 →= 1 2 7 7 , 15 5 2 8 →= 1 2 7 8 , 15 5 2 9 →= 1 2 7 9 , 4 5 2 3 →= 6 2 7 3 , 4 5 2 7 →= 6 2 7 7 , 4 5 2 8 →= 6 2 7 8 , 4 5 2 9 →= 6 2 7 9 , 8 5 2 3 →= 3 2 7 3 , 8 5 2 7 →= 3 2 7 7 , 8 5 2 8 →= 3 2 7 8 , 8 5 2 9 →= 3 2 7 9 , 12 5 2 3 →= 5 2 7 3 , 12 5 2 7 →= 5 2 7 7 , 12 5 2 8 →= 5 2 7 8 , 12 5 2 9 →= 5 2 7 9 , 17 5 2 3 →= 18 2 7 3 , 17 5 2 7 →= 18 2 7 7 , 17 5 2 8 →= 18 2 7 8 , 17 5 2 9 →= 18 2 7 9 , 15 5 2 3 →= 15 5 4 5 6 , 15 5 2 7 →= 15 5 4 5 2 , 15 5 2 8 →= 15 5 4 5 4 , 15 5 2 9 →= 15 5 4 5 10 , 4 5 2 3 →= 4 5 4 5 6 , 4 5 2 7 →= 4 5 4 5 2 , 4 5 2 8 →= 4 5 4 5 4 , 4 5 2 9 →= 4 5 4 5 10 , 8 5 2 3 →= 8 5 4 5 6 , 8 5 2 7 →= 8 5 4 5 2 , 8 5 2 8 →= 8 5 4 5 4 , 8 5 2 9 →= 8 5 4 5 10 , 12 5 2 3 →= 12 5 4 5 6 , 12 5 2 7 →= 12 5 4 5 2 , 12 5 2 8 →= 12 5 4 5 4 , 12 5 2 9 →= 12 5 4 5 10 , 17 5 2 3 →= 17 5 4 5 6 , 17 5 2 7 →= 17 5 4 5 2 , 17 5 2 8 →= 17 5 4 5 4 , 17 5 2 9 →= 17 5 4 5 10 , 15 5 2 3 →= 14 8 5 4 5 , 15 5 2 7 →= 14 8 5 4 11 , 15 5 2 8 →= 14 8 5 4 12 , 15 5 2 9 →= 14 8 5 4 13 , 4 5 2 3 →= 2 8 5 4 5 , 4 5 2 7 →= 2 8 5 4 11 ,
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