/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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NO

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

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

.abbcccccc.cccccccccccccccccccccccccccccc
	rule abbcccccc-> ccccccabbabbc at position 0
.ccccccabbabbc.cccccccccccccccccccccccccccccc
	rule abbcccccc-> ccccccabbabbc at position 9
.ccccccabbccccccabbabbc.ccccccccccccccccccccccccc
	rule abbcccccc-> ccccccabbabbc at position 18
.ccccccabbccccccabbccccccabbabbc.cccccccccccccccccccc
	rule abbcccccc-> ccccccabbabbc at position 15
.ccccccabbccccccccccccabbabbcabbabbc.cccccccccccccccccccc
	rule abbcccccc-> ccccccabbabbc at position 31
.ccccccabbccccccccccccabbabbcabbccccccabbabbc.ccccccccccccccc
	rule abbcccccc-> ccccccabbabbc at position 28
.ccccccabbccccccccccccabbabbcccccccabbabbcabbabbc.ccccccccccccccc
	rule abbcccccc-> ccccccabbabbc at position 24
.ccccccabbccccccccccccabbccccccabbabbccabbabbcabbabbc.ccccccccccccccc
	rule abbcccccc-> ccccccabbabbc at position 21
.ccccccabbccccccccccccccccccabbabbcabbabbccabbabbcabbabbc.ccccccccccccccc
	rule abbcccccc-> ccccccabbabbc at position 52
.ccccccabbccccccccccccccccccabbabbcabbabbccabbabbcabbccccccabbabbc.cccccccccc
	rule abbcccccc-> ccccccabbabbc at position 49
.ccccccabbccccccccccccccccccabbabbcabbabbccabbabbcccccccabbabbcabbabbc.cccccccccc
	rule abbcccccc-> ccccccabbabbc at position 45
.ccccccabbccccccccccccccccccabbabbcabbabbccabbccccccabbabbccabbabbcabbabbc.cccccccccc
	rule abbcccccc-> ccccccabbabbc at position 42
.ccccccabbccccccccccccccccccabbabbcabbabbccccccccabbabbcabbabbccabbabbcabbabbc.cccccccccc
	rule abbcccccc-> ccccccabbabbc at position 37
.ccccccabbccccccccccccccccccabbabbcabbccccccabbabbcccabbabbcabbabbccabbabbcabbabbc.cccccccccc
	rule abbcccccc-> ccccccabbabbc at position 34
.ccccccabbccccccccccccccccccabbabbcccccccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.cccccccccc
	rule abbcccccc-> ccccccabbabbc at position 30
.ccccccabbccccccccccccccccccabbccccccabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.cccccccccc
	rule abbcccccc-> ccccccabbabbc at position 27
.ccccccabbccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.cccccccccc
	rule abbcccccc-> ccccccabbabbc at position 89
.ccccccabbccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbccccccabbabbc.ccccc
	rule abbcccccc-> ccccccabbabbc at position 86
.ccccccabbccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcccccccabbabbcabbabbc.ccccc
	rule abbcccccc-> ccccccabbabbc at position 82
.ccccccabbccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbccccccabbabbccabbabbcabbabbc.ccccc
	rule abbcccccc-> ccccccabbabbc at position 79
.ccccccabbccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccccccccabbabbcabbabbccabbabbcabbabbc.ccccc
	rule abbcccccc-> ccccccabbabbc at position 74
.ccccccabbccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbccccccabbabbcccabbabbcabbabbccabbabbcabbabbc.ccccc
	rule abbcccccc-> ccccccabbabbc at position 71
.ccccccabbccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcccccccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.ccccc
	rule abbcccccc-> ccccccabbabbc at position 67
.ccccccabbccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbccccccabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.ccccc
	rule abbcccccc-> ccccccabbabbc at position 64
.ccccccabbccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.ccccc
	rule abbcccccc-> ccccccabbabbc at position 58
.ccccccabbccccccccccccccccccccccccabbabbcabbabbccabbabbcabbccccccabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.ccccc
	rule abbcccccc-> ccccccabbabbc at position 55
.ccccccabbccccccccccccccccccccccccabbabbcabbabbccabbabbcccccccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.ccccc
	rule abbcccccc-> ccccccabbabbc at position 51
.ccccccabbccccccccccccccccccccccccabbabbcabbabbccabbccccccabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.ccccc
	rule abbcccccc-> ccccccabbabbc at position 48
.ccccccabbccccccccccccccccccccccccabbabbcabbabbccccccccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.ccccc
	rule abbcccccc-> ccccccabbabbc at position 43
.ccccccabbccccccccccccccccccccccccabbabbcabbccccccabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.ccccc
	rule abbcccccc-> ccccccabbabbc at position 40
.ccccccabbccccccccccccccccccccccccabbabbcccccccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.ccccc
	rule abbcccccc-> ccccccabbabbc at position 36
.ccccccabbccccccccccccccccccccccccabbccccccabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.ccccc
	rule abbcccccc-> ccccccabbabbc at position 33
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.ccccc
	rule abbcccccc-> ccccccabbabbc at position 158
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbccccccabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 155
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcccccccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 151
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbccccccabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 148
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccccccccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 143
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbccccccabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 140
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcccccccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 136
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbccccccabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 133
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 127
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbccccccabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 124
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcccccccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 120
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbccccccabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 117
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccccccccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 112
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbccccccabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 109
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcccccccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 105
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbccccccabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 102
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 95
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbccccccabbabbcccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 92
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcccccccabbabbcabbabbcccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 88
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbccccccabbabbccabbabbcabbabbcccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 85
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccccccccabbabbcabbabbccabbabbcabbabbcccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 80
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbccccccabbabbcccabbabbcabbabbccabbabbcabbabbcccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 77
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcccccccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbcccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 73
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbccccccabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbcccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 70
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbcccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 64
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbccccccabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbcccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 61
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcccccccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbcccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 57
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccabbccccccabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbcccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 54
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbabbccccccccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbcccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 49
.ccccccabbccccccccccccccccccccccccccccccabbabbcabbccccccabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbcccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 46
.ccccccabbccccccccccccccccccccccccccccccabbabbcccccccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbcccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 42
.ccccccabbccccccccccccccccccccccccccccccabbccccccabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbcccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.
	rule abbcccccc-> ccccccabbabbc at position 39
.ccccccabbccccccccccccccccccccccccccccccccccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbcccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbccccabbabbcabbabbccabbabbcabbabbcccabbabbcabbabbccabbabbcabbabbc.