details

property	value
status	complete
benchmark	45970.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n090.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	MnM 3.18b
configuration	default
runtime (wallclock)	10.6400649548 seconds
cpu usage	39.995380378
max memory	4.89269248E9

stage attributes

key	value
output-size	877911
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 50-rule system { 0 1 0 2 2 3 ⟶ 0 2 2 1 0 3 , 0 4 4 1 0 4 ⟶ 0 4 4 4 0 1 , 0 4 0 0 4 2 3 5 1 ⟶ 5 0 3 2 4 0 0 1 4 , 1 2 3 1 0 1 4 2 0 ⟶ 4 0 3 2 1 1 2 1 0 , 1 3 4 0 4 1 1 2 3 5 4 4 ⟶ 2 4 4 0 1 3 5 1 4 3 4 1 , 4 1 1 3 3 0 1 5 0 4 4 2 2 3 3 5 4 3 ⟶ 4 0 4 2 4 3 1 3 4 3 5 1 2 0 3 5 1 3 , 1 0 4 3 1 2 1 2 0 4 3 3 2 1 5 2 3 2 1 ⟶ 1 4 2 1 1 4 1 0 3 0 5 3 1 3 2 2 3 2 2 , 1 1 1 3 0 4 5 0 3 0 1 1 3 0 4 5 3 3 0 ⟶ 4 5 0 3 3 4 1 0 0 1 1 1 3 1 0 3 5 3 0 , 1 3 2 3 0 5 0 4 1 1 2 4 4 3 3 5 4 0 5 ⟶ 4 2 1 2 5 3 4 1 1 3 0 0 3 3 4 0 5 4 5 , 3 0 2 2 0 1 1 5 0 1 1 1 0 2 0 4 5 0 1 ⟶ 5 1 2 1 4 0 0 3 0 1 0 0 1 0 1 2 5 1 2 , 0 2 1 5 4 1 5 4 0 1 2 0 2 1 2 1 1 1 3 5 2 5 ⟶ 2 1 1 3 5 4 2 5 0 5 2 1 1 1 2 1 4 0 2 0 5 1 , 2 2 5 3 3 3 0 4 1 3 5 4 5 1 3 4 1 0 3 5 4 0 ⟶ 0 1 5 3 4 1 3 5 3 3 1 3 4 5 3 4 4 0 2 2 5 0 , 2 5 5 1 4 3 3 2 1 1 1 5 0 4 4 3 5 1 4 1 4 5 2 ⟶ 3 4 5 1 4 4 5 2 1 5 5 5 0 1 2 1 1 1 3 4 3 4 2 , 3 4 0 2 2 3 2 4 2 3 5 3 5 0 1 3 5 5 2 4 4 2 3 3 ⟶ 5 5 3 2 2 2 0 5 4 3 3 3 2 0 2 4 2 1 5 3 4 3 4 3 , 5 5 2 0 2 1 5 5 2 1 4 4 5 2 4 4 1 1 1 3 2 5 5 5 ⟶ 5 4 5 0 5 4 2 1 2 4 1 1 2 1 2 4 5 3 1 5 2 5 5 5 , 1 5 2 4 1 3 3 5 3 0 4 2 5 1 5 2 0 1 0 3 0 5 5 1 4 ⟶ 1 5 2 3 1 5 4 5 5 2 3 4 2 3 5 4 1 1 3 0 0 1 0 5 0 , 3 1 5 1 0 4 4 1 1 2 2 0 2 3 3 2 2 3 3 5 4 1 2 5 1 ⟶ 1 3 0 3 5 5 2 1 2 3 2 5 2 3 1 0 2 1 3 1 4 1 2 4 4 , 0 0 1 4 0 0 4 2 1 5 5 3 0 3 4 0 1 4 3 1 5 5 2 0 0 2 3 ⟶ 0 0 5 4 1 2 4 2 1 5 4 2 0 5 0 0 0 3 4 1 3 5 3 0 1 0 3 , 1 1 5 4 4 5 0 4 5 1 1 0 3 2 1 3 0 2 1 5 3 2 0 4 5 0 2 ⟶ 2 3 4 0 1 5 0 5 1 1 2 0 3 4 1 3 0 4 1 5 2 5 0 4 2 5 1 , 1 5 2 4 3 0 1 4 3 5 0 5 0 1 3 2 0 1 4 3 3 2 1 0 1 5 5 ⟶ 1 5 1 4 1 0 0 3 5 5 0 0 3 0 1 1 4 5 3 2 3 1 2 4 2 5 3 , 0 1 2 5 3 3 1 0 4 1 4 2 0 1 0 4 4 1 0 5 3 2 1 2 5 2 5 1 ⟶ 0 1 1 5 3 5 4 0 2 3 0 0 0 4 5 1 4 1 2 1 5 2 1 4 3 2 2 1 , 0 4 1 4 2 2 4 0 0 3 5 3 0 0 5 0 4 5 5 5 3 2 1 1 0 2 3 1 ⟶ 0 1 2 4 1 1 3 0 5 2 3 0 3 0 5 0 4 5 2 4 5 4 1 5 0 2 0 3 , 2 0 3 1 0 4 3 1 5 2 2 4 1 1 3 0 2 4 2 5 2 2 2 4 1 5 5 1 2 ⟶ 2 0 0 2 2 1 5 2 3 1 3 3 1 4 5 2 1 4 2 5 2 2 2 0 5 4 4 1 1 , 0 5 0 2 3 0 4 0 0 4 3 3 5 0 4 5 4 1 4 0 2 5 5 5 3 1 5 2 2 3 3 ⟶ 2 3 5 3 5 0 4 0 0 0 3 3 4 0 4 1 4 5 3 4 2 5 5 5 5 2 0 0 2 1 3 , 1 2 3 5 3 5 0 3 3 3 1 3 1 0 3 3 5 2 0 3 4 4 0 0 4 0 4 0 0 2 2 ⟶ 1 3 3 5 0 5 5 3 4 1 2 3 3 0 0 4 2 1 0 0 0 3 2 3 4 0 3 0 4 3 2 , 3 2 4 2 2 3 1 4 1 2 0 1 0 5 2 1 3 0 1 1 2 0 4 0 1 0 3 4 2 1 4 ⟶ 0 2 1 2 1 4 1 3 1 2 4 5 0 0 2 1 1 4 1 3 4 0 1 0 2 3 3 2 0 2 4 , 4 0 4 0 4 2 1 5 1 2 3 1 0 0 3 3 4 3 5 4 2 1 5 5 3 4 0 1 3 5 2 ⟶ 4 0 4 3 1 2 3 4 2 5 3 2 0 5 1 3 4 1 0 3 5 1 2 4 1 3 0 4 0 5 5 , 2 2 4 3 5 5 4 1 3 0 4 5 5 2 2 3 3 5 2 1 0 3 1 1 0 3 3 3 0 0 1 0 3 ⟶ 2 4 1 5 1 5 0 4 0 0 0 2 3 2 3 3 2 5 1 5 1 3 3 2 5 3 3 4 3 1 0 0 3 , 2 4 4 0 2 1 3 5 0 0 1 4 4 2 1 1 2 0 0 5 2 2 3 2 5 5 1 0 1 1 3 4 4 5 ⟶ 2 4 3 0 5 0 1 1 1 0 2 1 1 2 2 2 4 0 0 4 5 2 4 3 5 5 0 4 1 1 3 4 2 5 , 5 4 3 5 2 3 5 1 2 2 3 1 3 2 3 2 4 1 0 1 4 5 4 1 4 4 0 1 0 2 5 2 2 0 ⟶ 5 4 1 5 2 2 5 3 4 0 5 0 4 2 3 0 0 3 4 5 2 1 4 2 3 4 1 1 2 1 1 2 2 3 , 0 3 0 4 5 5 5 1 3 0 4 4 3 4 5 2 5 0 0 1 5 0 5 5 0 4 5 1 1 0 4 3 4 5 2 ⟶ 0 3 0 0 1 5 5 1 3 4 4 1 4 0 4 5 5 4 2 2 5 5 5 5 0 0 0 1 3 4 5 3 4 5 0 , 4 2 1 2 2 1 5 1 5 3 0 5 3 5 0 4 4 3 1 2 1 2 0 2 4 4 3 1 1 4 4 5 5 1 2 ⟶ 4 1 5 2 2 0 5 3 0 2 2 2 1 5 3 4 1 2 1 5 3 1 0 3 4 4 4 1 1 4 4 5 5 2 1 , 5 4 4 1 1 3 5 2 2 2 5 3 3 3 0 4 5 3 2 3 0 5 5 1 2 2 0 1 1 3 1 5 0 0 2 ⟶ 3 4 5 1 0 2 3 2 3 2 0 3 5 3 1 4 5 2 2 2 0 1 5 5 2 1 1 4 5 3 5 0 0 1 3 , 0 0 3 0 0 0 3 4 1 4 0 5 2 1 5 2 4 1 1 1 5 2 2 5 3 4 0 0 4 3 1 3 5 4 1 1 ⟶ 0 0 1 4 0 5 0 1 4 4 0 0 2 1 5 3 1 0 1 0 5 2 2 5 3 4 3 1 4 3 3 4 5 1 2 1 , 2 1 1 4 3 2 2 4 1 5 3 3 3 3 2 4 4 3 0 1 4 3 2 0 0 2 1 5 2 2 3 0 1 5 1 2 ⟶ 0 3 1 2 3 4 0 2 2 3 1 3 1 3 5 4 4 3 2 1 4 3 4 2 0 1 1 5 2 2 3 0 5 2 1 2 , 4 5 4 4 4 0 4 4 5 5 2 0 2 5 0 3 1 4 3 4 3 0 1 4 4 1 0 4 5 4 3 3 1 1 0 5 ⟶ 4 4 4 5 3 1 1 2 5 5 3 4 4 5 1 3 3 4 4 0 0 0 5 0 1 1 0 4 5 2 0 3 4 4 4 4 , 0 0 5 5 1 0 1 4 5 2 0 5 2 5 2 1 0 5 1 1 4 5 0 2 1 0 3 4 1 2 5 0 1 4 4 5 3 5 ⟶ 0 3 4 5 1 0 0 5 1 0 0 5 4 5 0 1 2 5 5 4 4 1 0 2 1 3 2 2 1 0 5 1 5 1 4 5 2 5 , 0 1 3 0 3 1 0 3 0 4 3 0 3 2 1 3 5 0 5 3 0 1 0 1 1 4 3 0 5 1 4 3 3 3 0 0 0 5 3 4 ⟶ 0 3 1 0 5 4 0 3 0 4 5 0 5 1 3 3 0 0 3 0 3 1 3 2 1 1 5 4 3 1 1 0 3 3 0 0 3 4 3 0 , 4 3 3 0 0 0 3 2 4 3 0 0 4 4 2 4 4 2 1 2 5 5 0 0 4 2 5 5 1 0 4 4 5 0 2 3 3 2 4 4 0 4 ⟶ 4 2 2 4 0 0 3 2 5 3 4 5 4 0 0 4 0 2 1 0 5 5 2 4 3 3 5 4 1 0 4 4 0 0 4 3 3 2 2 4 0 4 , 0 1 0 4 0 1 1 1 1 1 0 3 4 3 3 1 4 0 2 0 1 1 0 4 4 3 3 5 0 1 1 0 3 0 4 0 0 4 0 3 1 3 5 3 5 ⟶ 0 3 3 1 0 1 3 1 0 1 5 3 4 0 3 1 4 0 2 3 1 4 0 5 4 0 3 0 1 1 1 0 0 0 4 0 0 4 1 5 1 1 4 3 3 , 0 2 2 3 1 3 4 0 5 3 3 2 0 2 1 5 0 2 0 3 2 1 4 5 0 4 4 0 2 3 0 1 2 1 2 1 1 5 3 2 3 0 3 5 2 ⟶ 0 2 2 5 0 3 4 2 5 0 3 2 1 2 1 3 0 1 0 3 4 0 4 4 0 2 2 0 2 3 3 3 2 1 3 1 1 5 2 1 3 5 0 5 2 , 2 2 0 4 5 5 3 5 1 2 3 5 2 5 5 3 3 2 1 1 1 3 1 3 5 3 4 1 5 2 1 1 4 1 1 2 2 3 2 4 2 2 5 3 3 ⟶ 2 2 1 1 5 1 3 2 1 3 1 3 2 5 5 3 5 5 1 2 1 3 5 3 1 2 4 0 3 5 4 2 4 1 1 2 2 3 3 2 2 4 5 5 3 , 2 5 0 5 0 1 5 1 3 4 4 3 1 3 3 3 0 5 3 3 0 4 3 3 3 2 4 4 2 2 5 2 4 3 3 5 1 2 1 0 4 1 5 2 3 2 2 ⟶ 2 2 0 5 0 2 5 1 3 3 2 3 1 4 3 2 0 5 3 3 4 4 3 2 3 2 4 1 0 4 5 2 4 3 0 5 1 1 2 3 4 1 5 3 3 5 3 , 4 5 4 2 3 3 2 4 1 0 3 4 4 3 1 4 0 0 1 4 4 4 5 2 0 4 2 2 2 2 0 4 3 4 3 0 3 2 5 3 3 0 5 3 0 4 1 ⟶ 4 5 3 2 5 4 2 3 1 4 4 4 4 3 2 4 4 0 1 4 4 2 0 0 3 4 3 2 0 2 0 1 3 4 3 0 3 5 2 3 2 0 5 3 0 4 1 , 0 3 1 4 5 1 2 2 4 5 1 3 5 3 2 3 0 4 5 2 1 4 4 5 3 1 0 1 1 2 5 3 4 5 5 0 2 3 0 4 1 0 3 3 0 2 4 4 ⟶ 0 3 1 4 5 1 5 2 2 5 2 3 4 4 4 3 0 5 4 2 2 3 4 0 5 1 0 0 1 2 1 3 5 5 2 0 5 3 1 4 1 0 3 3 4 1 3 4 , 1 4 4 2 5 4 5 2 1 4 4 2 0 2 3 5 0 3 3 5 0 3 5 0 4 0 0 5 5 2 5 0 4 0 3 2 2 1 5 3 2 4 3 1 5 4 4 1 ⟶ 4 2 1 2 0 4 5 5 5 4 4 5 0 0 3 4 0 2 3 4 3 3 1 2 4 5 4 5 2 5 2 0 5 0 3 0 0 1 5 3 2 1 2 1 5 4 3 4 , 2 3 1 5 1 2 3 3 3 5 2 1 5 5 3 4 0 5 2 2 2 3 2 3 3 3 3 1 3 2 2 0 2 1 4 1 4 4 3 2 4 4 0 4 2 4 3 0 ⟶ 1 3 2 3 3 2 3 4 2 4 2 0 1 5 3 4 0 5 2 2 1 3 2 1 5 3 3 3 3 2 2 0 2 2 4 4 3 1 5 3 0 4 5 4 2 3 4 1 , 4 5 5 4 4 4 3 3 2 0 1 4 5 3 1 1 5 4 3 0 2 4 2 5 4 2 0 3 4 1 4 2 5 1 5 4 0 4 0 0 2 2 2 0 3 0 2 0 ⟶ 4 0 5 4 4 5 3 1 2 1 3 4 5 3 3 1 2 4 3 1 4 2 5 4 4 4 0 4 0 0 4 2 0 1 5 2 2 2 0 0 5 2 2 0 3 5 4 0 , 1 3 5 2 5 4 0 1 4 5 5 2 1 2 5 4 1 3 1 3 5 3 4 2 5 0 1 3 5 3 3 0 2 2 2 2 5 1 4 5 3 1 4 0 2 1 5 1 1 ⟶ 2 3 5 2 5 4 0 5 5 5 4 2 1 3 3 0 1 1 2 3 5 1 4 2 1 5 1 4 0 2 3 0 3 2 2 3 5 1 1 5 3 1 1 4 2 4 5 1 5 , 4 0 3 4 1 4 0 4 5 3 0 2 3 4 2 0 5 2 4 1 5 3 0 4 2 5 3 5 1 0 1 1 0 3 5 3 3 4 5 0 4 4 3 3 2 1 1 5 5 ⟶ 4 1 0 4 5 1 0 4 5 3 0 2 3 4 2 0 5 2 4 1 0 3 0 1 1 5 0 3 1 1 4 3 5 2 5 2 5 4 4 3 5 4 3 3 3 4 0 3 5 } 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, (2,2) ↦ 4, (2,3) ↦ 5, (3,0) ↦ 6, (2,1) ↦ 7, (0,3) ↦ 8, (3,1) ↦ 9, (3,2) ↦ 10, (3,3) ↦ 11, (3,4) ↦ 12, (3,5) ↦ 13, (3,7) ↦ 14, (2,0) ↦ 15, (4,0) ↦ 16, (5,0) ↦ 17, (6,0) ↦ 18, (0,4) ↦ 19, (4,4) ↦ 20, (4,1) ↦ 21, (1,1) ↦ 22, (4,2) ↦ 23, (1,2) ↦ 24, (4,3) ↦ 25, (1,3) ↦ 26, (1,4) ↦ 27, (4,5) ↦ 28, (1,5) ↦ 29, (4,7) ↦ 30, (1,7) ↦ 31, (5,1) ↦ 32, (0,5) ↦ 33, (2,4) ↦ 34, (2,5) ↦ 35, (5,5) ↦ 36, (6,5) ↦ 37, (0,7) ↦ 38, (5,4) ↦ 39, (6,1) ↦ 40, (6,4) ↦ 41, (5,2) ↦ 42, (6,2) ↦ 43, (5,3) ↦ 44, (2,7) ↦ 45, (5,7) ↦ 46, (6,3) ↦ 47 }, it remains to prove termination of the 2450-rule system { 0 1 2 3 4 5 6 ⟶ 0 3 4 7 2 8 6 , 0 1 2 3 4 5 9 ⟶ 0 3 4 7 2 8 9 , 0 1 2 3 4 5 10 ⟶ 0 3 4 7 2 8 10 , 0 1 2 3 4 5 11 ⟶ 0 3 4 7 2 8 11 , 0 1 2 3 4 5 12 ⟶ 0 3 4 7 2 8 12 , 0 1 2 3 4 5 13 ⟶ 0 3 4 7 2 8 13 , 0 1 2 3 4 5 14 ⟶ 0 3 4 7 2 8 14 , 2 1 2 3 4 5 6 ⟶ 2 3 4 7 2 8 6 , 2 1 2 3 4 5 9 ⟶ 2 3 4 7 2 8 9 , 2 1 2 3 4 5 10 ⟶ 2 3 4 7 2 8 10 , 2 1 2 3 4 5 11 ⟶ 2 3 4 7 2 8 11 , 2 1 2 3 4 5 12 ⟶ 2 3 4 7 2 8 12 , 2 1 2 3 4 5 13 ⟶ 2 3 4 7 2 8 13 , 2 1 2 3 4 5 14 ⟶ 2 3 4 7 2 8 14 , 15 1 2 3 4 5 6 ⟶ 15 3 4 7 2 8 6 , 15 1 2 3 4 5 9 ⟶ 15 3 4 7 2 8 9 , 15 1 2 3 4 5 10 ⟶ 15 3 4 7 2 8 10 , 15 1 2 3 4 5 11 ⟶ 15 3 4 7 2 8 11 , 15 1 2 3 4 5 12 ⟶ 15 3 4 7 2 8 12 , 15 1 2 3 4 5 13 ⟶ 15 3 4 7 2 8 13 , 15 1 2 3 4 5 14 ⟶ 15 3 4 7 2 8 14 , 6 1 2 3 4 5 6 ⟶ 6 3 4 7 2 8 6 , 6 1 2 3 4 5 9 ⟶ 6 3 4 7 2 8 9 , 6 1 2 3 4 5 10 ⟶ 6 3 4 7 2 8 10 , 6 1 2 3 4 5 11 ⟶ 6 3 4 7 2 8 11 , 6 1 2 3 4 5 12 ⟶ 6 3 4 7 2 8 12 , 6 1 2 3 4 5 13 ⟶ 6 3 4 7 2 8 13 , 6 1 2 3 4 5 14 ⟶ 6 3 4 7 2 8 14 , 16 1 2 3 4 5 6 ⟶ 16 3 4 7 2 8 6 , 16 1 2 3 4 5 9 ⟶ 16 3 4 7 2 8 9 , 16 1 2 3 4 5 10 ⟶ 16 3 4 7 2 8 10 , 16 1 2 3 4 5 11 ⟶ 16 3 4 7 2 8 11 , 16 1 2 3 4 5 12 ⟶ 16 3 4 7 2 8 12 , 16 1 2 3 4 5 13 ⟶ 16 3 4 7 2 8 13 , 16 1 2 3 4 5 14 ⟶ 16 3 4 7 2 8 14 , popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to SRS Standard