SRS Standard pair #487517082

details
property	value
status	complete
benchmark	231604.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n132.star.cs.uiowa.edu
space	ICFP_2010
run statistics
property	value
solver	MultumNonMulta 3.16 29 June 2020 60G
configuration	default
runtime (wallclock)	0.707818984985 seconds
cpu usage	1.446948474
max memory	3.78740736E8
stage attributes
key	value
output-size	5967
starexec-result	YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES

After renaming modulo { 0->0, 1->1, 3->2, 4->3, 5->4, 2->5 }, 
it remains to prove termination of the 5-rule system
{ 0 -> 1 ,
  0 0 -> 0 ,
  2 3 4 -> 3 2 4 ,
  5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 -> 0 0 1 0 1 0 0 0 0 1 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 0 0 0 0 1 0 1 0 0 1 0 0 0 1 0 1 0 1 0 0 0 0 1 1 1 1 0 0 0 1 0 1 0 0 1 0 0 0 1 1 0 0 1 0 0 0 1 1 1 0 1 1 1 0 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 1 0 0 0 1 1 0 0 0 1 1 1 0 0 0 0 1 1 1 0 0 1 0 1 1 0 0 1 1 1 0 1 0 1 1 1 1 1 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 1 1 1 0 0 1 1 0 1 0 1 1 1 0 1 1 1 0 0 1 0 1 1 0 1 0 1 0 1 1 0 0 0 0 1 1 0 1 0 0 1 1 0 1 1 1 1 0 1 1 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1 0 1 1 0 0 0 0 1 0 1 0 1 0 1 0 0 0 1 1 0 1 0 0 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 1 0 1 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0 1 0 0 1 0 1 1 1 0 1 0 1 0 0 1 1 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 0 1 1 1 0 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 1 1 1 0 1 0 1 0 0 0 0 1 1 0 1 0 0 0 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 0 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 1 0 0 1 ,
  0 1 1 1 0 1 0 1 0 0 1 1 1 1 0 0 0 1 1 1 0 1 0 1 1 0 1 0 1 1 1 0 1 1 1 0 1 0 1 1 0 1 0 0 1 1 0 1 1 0 0 1 0 1 1 0 1 1 0 0 1 1 0 0 1 1 1 1 0 0 1 1 0 1 0 1 0 0 1 0 1 1 0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 1 0 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 0 0 0 0 1 1 0 1 1 1 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0 1 1 1 0 0 1 1 0 1 0 1 0 1 0 0 1 1 1 1 1 0 1 1 1 1 0 1 1 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 1 1 1 0 0 0 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 0 0 1 0 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 1 0 1 1 1 0 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 1 1 1 1 0 0 1 0 0 0 1 1 1 0 0 1 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 0 0 0 1 0 1 1 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 1 0 -> 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 }


Applying sparse untiling TRFCU(2) [Geser/Hofbauer/Waldmann, FSCD 2019].

After renaming modulo { 0->0, 1->1, 5->2 },
it remains to prove termination of the 4-rule system
{ 0 -> 1 ,
  0 0 -> 0 ,
  2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 -> 0 0 1 0 1 0 0 0 0 1 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 0 0 0 0 1 0 1 0 0 1 0 0 0 1 0 1 0 1 0 0 0 0 1 1 1 1 0 0 0 1 0 1 0 0 1 0 0 0 1 1 0 0 1 0 0 0 1 1 1 0 1 1 1 0 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 1 0 0 0 1 1 0 0 0 1 1 1 0 0 0 0 1 1 1 0 0 1 0 1 1 0 0 1 1 1 0 1 0 1 1 1 1 1 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 1 1 1 0 0 1 1 0 1 0 1 1 1 0 1 1 1 0 0 1 0 1 1 0 1 0 1 0 1 1 0 0 0 0 1 1 0 1 0 0 1 1 0 1 1 1 1 0 1 1 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1 0 1 1 0 0 0 0 1 0 1 0 1 0 1 0 0 0 1 1 0 1 0 0 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 1 0 1 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0 1 0 0 1 0 1 1 1 0 1 0 1 0 0 1 1 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 0 1 1 1 0 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 1 1 1 0 1 0 1 0 0 0 0 1 1 0 1 0 0 0 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 0 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 1 0 0 1 ,
  0 1 1 1 0 1 0 1 0 0 1 1 1 1 0 0 0 1 1 1 0 1 0 1 1 0 1 0 1 1 1 0 1 1 1 0 1 0 1 1 0 1 0 0 1 1 0 1 1 0 0 1 0 1 1 0 1 1 0 0 1 1 0 0 1 1 1 1 0 0 1 1 0 1 0 1 0 0 1 0 1 1 0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 1 0 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 0 0 0 0 1 1 0 1 1 1 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0 1 1 1 0 0 1 1 0 1 0 1 0 1 0 0 1 1 1 1 1 0 1 1 1 1 0 1 1 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 1 1 1 0 0 0 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 0 0 1 0 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 1 0 1 1 1 0 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 1 1 1 1 0 0 1 0 0 0 1 1 1 0 0 1 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 0 0 0 1 0 1 1 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 1 0 -> 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 2:

0 is interpreted by
 /   \
| 1 7 |
| 0 1 |
 \   /
1 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
2 is interpreted by
 /   \
| 1 9 |
| 0 1 |
 \   /

After renaming modulo {  }, 
it remains to prove termination of the 0-rule system
{ }

The system is trivially terminating.
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions all output return to SRS Standard