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


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


NO

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


Loop of length 64 starting with a string of length 39
using right expansion and the encoding { 0->a, 1->b, ... }:

.aabcccccc.cccccccccccccccccccccccccccccc
	rule aabcccccc-> ccccccaabaabc at position 0
.ccccccaabaabc.cccccccccccccccccccccccccccccc
	rule aabcccccc-> ccccccaabaabc at position 9
.ccccccaabccccccaabaabc.ccccccccccccccccccccccccc
	rule aabcccccc-> ccccccaabaabc at position 18
.ccccccaabccccccaabccccccaabaabc.cccccccccccccccccccc
	rule aabcccccc-> ccccccaabaabc at position 15
.ccccccaabccccccccccccaabaabcaabaabc.cccccccccccccccccccc
	rule aabcccccc-> ccccccaabaabc at position 31
.ccccccaabccccccccccccaabaabcaabccccccaabaabc.ccccccccccccccc
	rule aabcccccc-> ccccccaabaabc at position 28
.ccccccaabccccccccccccaabaabcccccccaabaabcaabaabc.ccccccccccccccc
	rule aabcccccc-> ccccccaabaabc at position 24
.ccccccaabccccccccccccaabccccccaabaabccaabaabcaabaabc.ccccccccccccccc
	rule aabcccccc-> ccccccaabaabc at position 21
.ccccccaabccccccccccccccccccaabaabcaabaabccaabaabcaabaabc.ccccccccccccccc
	rule aabcccccc-> ccccccaabaabc at position 52
.ccccccaabccccccccccccccccccaabaabcaabaabccaabaabcaabccccccaabaabc.cccccccccc
	rule aabcccccc-> ccccccaabaabc at position 49
.ccccccaabccccccccccccccccccaabaabcaabaabccaabaabcccccccaabaabcaabaabc.cccccccccc
	rule aabcccccc-> ccccccaabaabc at position 45
.ccccccaabccccccccccccccccccaabaabcaabaabccaabccccccaabaabccaabaabcaabaabc.cccccccccc
	rule aabcccccc-> ccccccaabaabc at position 42
.ccccccaabccccccccccccccccccaabaabcaabaabccccccccaabaabcaabaabccaabaabcaabaabc.cccccccccc
	rule aabcccccc-> ccccccaabaabc at position 37
.ccccccaabccccccccccccccccccaabaabcaabccccccaabaabcccaabaabcaabaabccaabaabcaabaabc.cccccccccc
	rule aabcccccc-> ccccccaabaabc at position 34
.ccccccaabccccccccccccccccccaabaabcccccccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.cccccccccc
	rule aabcccccc-> ccccccaabaabc at position 30
.ccccccaabccccccccccccccccccaabccccccaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.cccccccccc
	rule aabcccccc-> ccccccaabaabc at position 27
.ccccccaabccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.cccccccccc
	rule aabcccccc-> ccccccaabaabc at position 89
.ccccccaabccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabccccccaabaabc.ccccc
	rule aabcccccc-> ccccccaabaabc at position 86
.ccccccaabccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcccccccaabaabcaabaabc.ccccc
	rule aabcccccc-> ccccccaabaabc at position 82
.ccccccaabccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabccccccaabaabccaabaabcaabaabc.ccccc
	rule aabcccccc-> ccccccaabaabc at position 79
.ccccccaabccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccccccccaabaabcaabaabccaabaabcaabaabc.ccccc
	rule aabcccccc-> ccccccaabaabc at position 74
.ccccccaabccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabccccccaabaabcccaabaabcaabaabccaabaabcaabaabc.ccccc
	rule aabcccccc-> ccccccaabaabc at position 71
.ccccccaabccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcccccccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.ccccc
	rule aabcccccc-> ccccccaabaabc at position 67
.ccccccaabccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabccccccaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.ccccc
	rule aabcccccc-> ccccccaabaabc at position 64
.ccccccaabccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.ccccc
	rule aabcccccc-> ccccccaabaabc at position 58
.ccccccaabccccccccccccccccccccccccaabaabcaabaabccaabaabcaabccccccaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.ccccc
	rule aabcccccc-> ccccccaabaabc at position 55
.ccccccaabccccccccccccccccccccccccaabaabcaabaabccaabaabcccccccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.ccccc
	rule aabcccccc-> ccccccaabaabc at position 51
.ccccccaabccccccccccccccccccccccccaabaabcaabaabccaabccccccaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.ccccc
	rule aabcccccc-> ccccccaabaabc at position 48
.ccccccaabccccccccccccccccccccccccaabaabcaabaabccccccccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.ccccc
	rule aabcccccc-> ccccccaabaabc at position 43
.ccccccaabccccccccccccccccccccccccaabaabcaabccccccaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.ccccc
	rule aabcccccc-> ccccccaabaabc at position 40
.ccccccaabccccccccccccccccccccccccaabaabcccccccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.ccccc
	rule aabcccccc-> ccccccaabaabc at position 36
.ccccccaabccccccccccccccccccccccccaabccccccaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.ccccc
	rule aabcccccc-> ccccccaabaabc at position 33
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.ccccc
	rule aabcccccc-> ccccccaabaabc at position 158
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabccccccaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 155
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcccccccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 151
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabccccccaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 148
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccccccccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 143
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabccccccaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 140
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcccccccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 136
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabccccccaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 133
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 127
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabccccccaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 124
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcccccccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 120
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabccccccaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 117
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccccccccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 112
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabccccccaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 109
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcccccccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 105
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabccccccaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 102
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 95
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabccccccaabaabcccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 92
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcccccccaabaabcaabaabcccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 88
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabccccccaabaabccaabaabcaabaabcccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 85
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccccccccaabaabcaabaabccaabaabcaabaabcccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 80
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabccccccaabaabcccaabaabcaabaabccaabaabcaabaabcccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 77
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcccccccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabcccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 73
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabccccccaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabcccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 70
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabcccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 64
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabccccccaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabcccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 61
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcccccccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabcccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 57
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccaabccccccaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabcccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 54
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabaabccccccccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabcccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 49
.ccccccaabccccccccccccccccccccccccccccccaabaabcaabccccccaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabcccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 46
.ccccccaabccccccccccccccccccccccccccccccaabaabcccccccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabcccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 42
.ccccccaabccccccccccccccccccccccccccccccaabccccccaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabcccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.
	rule aabcccccc-> ccccccaabaabc at position 39
.ccccccaabccccccccccccccccccccccccccccccccccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabcccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabccccaabaabcaabaabccaabaabcaabaabcccaabaabcaabaabccaabaabcaabaabc.