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SRS Standard pair #516970631
details
property
value
status
complete
benchmark
5109.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n001.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
3.78860402107 seconds
cpu usage
11.709109459
max memory
3.400511488E9
stage attributes
key
value
output-size
284341
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 { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2, 3 ↦ 3, 4 ↦ 4, 5 ↦ 5 }, it remains to prove termination of the 51-rule system { 0 0 0 1 ⟶ 2 3 2 2 4 2 2 4 0 5 , 1 0 5 0 ⟶ 1 2 2 4 4 4 2 2 1 1 , 0 3 0 1 4 ⟶ 2 2 4 2 4 0 5 5 1 4 , 0 4 0 1 0 ⟶ 2 0 5 1 1 1 1 3 3 5 , 0 5 0 0 1 ⟶ 0 5 1 1 1 4 4 3 1 5 , 0 0 3 4 5 2 ⟶ 2 3 4 2 4 1 4 2 1 1 , 0 0 3 5 2 5 ⟶ 2 4 1 1 2 2 5 2 3 5 , 0 0 4 5 1 0 ⟶ 3 1 4 4 3 1 2 4 1 1 , 0 0 4 5 1 4 ⟶ 3 4 2 4 1 4 2 0 5 4 , 0 1 4 5 5 3 ⟶ 2 2 4 4 4 5 0 3 2 4 , 0 3 0 0 2 5 ⟶ 2 4 0 3 2 4 2 5 2 5 , 0 4 0 0 2 2 ⟶ 2 2 4 0 3 2 3 0 2 2 , 0 4 3 1 0 2 ⟶ 2 2 2 4 1 1 0 3 5 2 , 0 5 0 0 3 4 ⟶ 2 4 2 0 1 4 5 2 2 4 , 0 5 0 3 4 1 ⟶ 2 4 3 2 1 4 3 1 3 1 , 1 5 0 0 0 2 ⟶ 1 1 1 5 5 1 5 2 2 4 , 1 5 5 0 4 1 ⟶ 1 1 4 4 2 4 3 3 2 1 , 2 1 0 4 5 4 ⟶ 2 2 4 2 1 0 2 3 3 4 , 4 1 0 0 5 0 ⟶ 4 1 5 1 4 4 1 1 5 1 , 4 5 0 3 2 2 ⟶ 4 2 2 4 2 5 2 2 4 2 , 5 0 0 0 4 5 ⟶ 5 0 5 4 1 1 4 4 3 5 , 5 0 3 5 0 0 ⟶ 5 2 2 3 1 5 1 1 5 5 , 5 0 4 0 5 0 ⟶ 0 5 4 4 4 2 4 4 2 0 , 5 0 4 5 4 4 ⟶ 2 1 5 2 4 4 4 1 4 2 , 5 1 3 5 5 0 ⟶ 5 2 3 2 1 5 4 4 4 1 , 5 2 5 0 1 2 ⟶ 5 2 4 2 4 0 1 5 2 4 , 0 0 0 3 4 0 5 ⟶ 0 1 5 4 1 1 5 1 1 5 , 0 0 3 4 5 0 4 ⟶ 3 2 1 1 5 4 5 3 5 3 , 0 1 0 3 0 5 3 ⟶ 2 2 0 2 1 4 3 5 5 3 , 0 1 3 1 3 4 2 ⟶ 5 4 4 2 1 1 1 1 5 4 , 0 2 5 0 3 0 5 ⟶ 2 4 5 2 4 0 0 1 1 5 , 0 3 2 0 4 0 1 ⟶ 3 2 0 0 4 2 4 1 3 1 , 0 3 5 2 0 0 3 ⟶ 2 0 2 3 3 4 3 4 2 3 , 0 5 3 0 4 0 2 ⟶ 2 2 1 0 5 1 3 2 1 4 , 0 5 3 2 2 5 0 ⟶ 2 3 2 1 2 2 4 1 5 1 , 1 0 0 1 0 4 0 ⟶ 1 4 1 3 2 2 1 5 4 5 , 1 0 0 4 1 1 2 ⟶ 2 2 4 0 2 0 5 4 1 2 , 1 0 1 1 1 0 4 ⟶ 1 4 1 1 4 0 3 3 0 2 , 1 0 1 4 5 0 5 ⟶ 4 1 1 1 1 4 1 0 1 5 , 1 0 4 5 4 5 0 ⟶ 2 2 1 2 0 2 5 3 1 1 , 1 3 5 4 1 3 3 ⟶ 1 4 4 2 0 1 1 5 3 3 , 1 5 0 0 3 0 5 ⟶ 1 1 4 1 5 0 5 5 1 5 , 2 5 1 3 3 0 1 ⟶ 2 1 3 4 3 2 4 5 5 5 , 4 0 0 1 0 3 4 ⟶ 4 3 2 3 3 1 5 5 2 0 , 5 0 0 0 0 0 4 ⟶ 2 4 2 1 3 1 1 2 3 2 , 5 0 0 1 2 5 2 ⟶ 5 2 0 2 2 1 5 4 5 2 , 5 0 0 3 1 0 4 ⟶ 3 1 2 4 3 4 3 4 2 1 , 5 0 5 1 0 3 4 ⟶ 5 5 4 1 2 2 2 4 1 5 , 5 1 0 0 4 3 4 ⟶ 5 4 3 2 3 2 2 5 4 4 , 5 1 3 0 4 0 0 ⟶ 5 1 4 1 4 5 2 2 3 5 , 5 2 0 1 0 4 2 ⟶ 2 5 1 1 4 1 1 4 1 2 } Applying sparse tiling TRFC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { (0,0) ↦ 0, (0,1) ↦ 1, (1,0) ↦ 2, (0,2) ↦ 3, (2,3) ↦ 4, (3,2) ↦ 5, (2,2) ↦ 6, (2,4) ↦ 7, (4,2) ↦ 8, (4,0) ↦ 9, (0,5) ↦ 10, (5,0) ↦ 11, (1,1) ↦ 12, (5,1) ↦ 13, (1,2) ↦ 14, (5,2) ↦ 15, (1,3) ↦ 16, (5,3) ↦ 17, (1,4) ↦ 18, (5,4) ↦ 19, (1,5) ↦ 20, (5,5) ↦ 21, (1,7) ↦ 22, (5,7) ↦ 23, (2,0) ↦ 24, (3,0) ↦ 25, (6,0) ↦ 26, (6,2) ↦ 27, (4,4) ↦ 28, (2,1) ↦ 29, (0,3) ↦ 30, (0,4) ↦ 31, (0,7) ↦ 32, (3,1) ↦ 33, (4,1) ↦ 34, (6,1) ↦ 35, (4,3) ↦ 36, (4,5) ↦ 37, (4,7) ↦ 38, (3,3) ↦ 39, (3,5) ↦ 40, (3,4) ↦ 41, (2,5) ↦ 42, (2,7) ↦ 43, (6,3) ↦ 44, (3,7) ↦ 45, (6,4) ↦ 46, (6,5) ↦ 47 }, it remains to prove termination of the 2499-rule system { 0 0 0 1 2 ⟶ 3 4 5 6 7 8 6 7 9 10 11 , 0 0 0 1 12 ⟶ 3 4 5 6 7 8 6 7 9 10 13 , 0 0 0 1 14 ⟶ 3 4 5 6 7 8 6 7 9 10 15 , 0 0 0 1 16 ⟶ 3 4 5 6 7 8 6 7 9 10 17 , 0 0 0 1 18 ⟶ 3 4 5 6 7 8 6 7 9 10 19 , 0 0 0 1 20 ⟶ 3 4 5 6 7 8 6 7 9 10 21 , 0 0 0 1 22 ⟶ 3 4 5 6 7 8 6 7 9 10 23 , 2 0 0 1 2 ⟶ 14 4 5 6 7 8 6 7 9 10 11 , 2 0 0 1 12 ⟶ 14 4 5 6 7 8 6 7 9 10 13 , 2 0 0 1 14 ⟶ 14 4 5 6 7 8 6 7 9 10 15 , 2 0 0 1 16 ⟶ 14 4 5 6 7 8 6 7 9 10 17 , 2 0 0 1 18 ⟶ 14 4 5 6 7 8 6 7 9 10 19 , 2 0 0 1 20 ⟶ 14 4 5 6 7 8 6 7 9 10 21 , 2 0 0 1 22 ⟶ 14 4 5 6 7 8 6 7 9 10 23 , 24 0 0 1 2 ⟶ 6 4 5 6 7 8 6 7 9 10 11 , 24 0 0 1 12 ⟶ 6 4 5 6 7 8 6 7 9 10 13 , 24 0 0 1 14 ⟶ 6 4 5 6 7 8 6 7 9 10 15 , 24 0 0 1 16 ⟶ 6 4 5 6 7 8 6 7 9 10 17 , 24 0 0 1 18 ⟶ 6 4 5 6 7 8 6 7 9 10 19 , 24 0 0 1 20 ⟶ 6 4 5 6 7 8 6 7 9 10 21 , 24 0 0 1 22 ⟶ 6 4 5 6 7 8 6 7 9 10 23 , 25 0 0 1 2 ⟶ 5 4 5 6 7 8 6 7 9 10 11 , 25 0 0 1 12 ⟶ 5 4 5 6 7 8 6 7 9 10 13 , 25 0 0 1 14 ⟶ 5 4 5 6 7 8 6 7 9 10 15 , 25 0 0 1 16 ⟶ 5 4 5 6 7 8 6 7 9 10 17 , 25 0 0 1 18 ⟶ 5 4 5 6 7 8 6 7 9 10 19 , 25 0 0 1 20 ⟶ 5 4 5 6 7 8 6 7 9 10 21 , 25 0 0 1 22 ⟶ 5 4 5 6 7 8 6 7 9 10 23 , 9 0 0 1 2 ⟶ 8 4 5 6 7 8 6 7 9 10 11 , 9 0 0 1 12 ⟶ 8 4 5 6 7 8 6 7 9 10 13 , 9 0 0 1 14 ⟶ 8 4 5 6 7 8 6 7 9 10 15 , 9 0 0 1 16 ⟶ 8 4 5 6 7 8 6 7 9 10 17 , 9 0 0 1 18 ⟶ 8 4 5 6 7 8 6 7 9 10 19 , 9 0 0 1 20 ⟶ 8 4 5 6 7 8 6 7 9 10 21 ,
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