/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


NO

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


Loop of length 32 starting with a string of length 11
using right expansion and the encoding { 0->a, 1->b, ... }:

.a.bbcbbccbcc
	rule a-> b at position 0
.b.bbcbbccbcc
	rule bbbc-> ccaaaa at position 0
.ccaaaa.bbccbcc
	rule a-> b at position 2
.ccbaaa.bbccbcc
	rule a-> b at position 3
.ccbbaa.bbccbcc
	rule a-> b at position 4
.ccbbba.bbccbcc
	rule a-> b at position 5
.ccbbbb.bbccbcc
	rule bbbc-> ccaaaa at position 5
.ccbbbccaaaa.cbcc
	rule bbbc-> ccaaaa at position 2
.ccccaaaacaaaa.cbcc
	rule a-> b at position 5
.ccccabaacaaaa.cbcc
	rule a-> b at position 6
.ccccabbacaaaa.cbcc
	rule a-> b at position 7
.ccccabbbcaaaa.cbcc
	rule bbbc-> ccaaaa at position 5
.ccccaccaaaaaaaa.cbcc
	rule a-> b at position 9
.ccccaccaabaaaaa.cbcc
	rule a-> b at position 10
.ccccaccaabbaaaa.cbcc
	rule a-> b at position 11
.ccccaccaabbbaaa.cbcc
	rule a-> b at position 12
.ccccaccaabbbbaa.cbcc
	rule a-> b at position 13
.ccccaccaabbbbba.cbcc
	rule a-> b at position 14
.ccccaccaabbbbbb.cbcc
	rule bbbc-> ccaaaa at position 12
.ccccaccaabbbccaaaa.bcc
	rule bbbc-> ccaaaa at position 9
.ccccaccaaccaaaacaaaa.bcc
	rule a-> b at position 13
.ccccaccaaccaabacaaaa.bcc
	rule a-> b at position 14
.ccccaccaaccaabbcaaaa.bcc
	rule a-> b at position 16
.ccccaccaaccaabbcbaaa.bcc
	rule a-> b at position 17
.ccccaccaaccaabbcbbaa.bcc
	rule a-> b at position 18
.ccccaccaaccaabbcbbba.bcc
	rule a-> b at position 19
.ccccaccaaccaabbcbbbb.bcc
	rule bbbc-> ccaaaa at position 18
.ccccaccaaccaabbcbbccaaaa.c
	rule a-> b at position 20
.ccccaccaaccaabbcbbccbaaa.c
	rule a-> b at position 21
.ccccaccaaccaabbcbbccbbaa.c
	rule a-> b at position 22
.ccccaccaaccaabbcbbccbbba.c
	rule a-> b at position 23
.ccccaccaaccaabbcbbccbbbb.c
	rule bbbc-> ccaaaa at position 21
.ccccaccaaccaabbcbbccbccaaaa.