/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 { a->0, b->1, c->2 }, 
it remains to prove termination of the 6-rule system
{ 0 0 1 -> 2 1 0 ,
  0 1 2 -> 2 2 1 ,
  1 0 2 -> 0 0 0 ,
  1 0 1 ->= 2 0 1 ,
  1 1 2 ->= 2 2 0 ,
  0 2 0 ->= 0 1 1 }


The system was reversed.

After renaming modulo { 1->0, 0->1, 2->2 }, 
it remains to prove termination of the 6-rule system
{ 0 1 1 -> 1 0 2 ,
  2 0 1 -> 0 2 2 ,
  2 1 0 -> 1 1 1 ,
  0 1 0 ->= 0 1 2 ,
  2 0 0 ->= 1 2 2 ,
  1 2 1 ->= 0 0 1 }


Loop of length 34 starting with a string of length 12
using right expansion and the encoding { 0->a, 1->b, ... }:

.aba.bbbaaaaab
	rule aba->= abc at position 0
.abc.bbbaaaaab
	rule bcb->= aab at position 1
.aaab.bbaaaaab
	rule abb-> bac at position 2
.aabac.baaaaab
	rule cba-> bbb at position 4
.aababbb.aaaab
	rule abb-> bac at position 3
.aabbacb.aaaab
	rule abb-> bac at position 1
.abacacb.aaaab
	rule aba->= abc at position 0
.abccacb.aaaab
	rule cba-> bbb at position 5
.abccabbb.aaab
	rule abb-> bac at position 4
.abccbacb.aaab
	rule cba-> bbb at position 3
.abcbbbcb.aaab
	rule bcb->= aab at position 1
.aaabbbcb.aaab
	rule abb-> bac at position 2
.aabacbcb.aaab
	rule aba->= abc at position 1
.aabccbcb.aaab
	rule bcb->= aab at position 5
.aabccaab.aaab
	rule caa->= bcc at position 4
.aabcbccb.aaab
	rule cba-> bbb at position 6
.aabcbcbbb.aab
	rule bcb->= aab at position 4
.aabcaabbb.aab
	rule abb-> bac at position 5
.aabcabacb.aab
	rule aba->= abc at position 4
.aabcabccb.aab
	rule cba-> bbb at position 7
.aabcabcbbb.ab
	rule bcb->= aab at position 5
.aabcaaabbb.ab
	rule caa->= bcc at position 3
.aabbccabbb.ab
	rule abb-> bac at position 6
.aabbccbacb.ab
	rule cba-> bbb at position 5
.aabbcbbbcb.ab
	rule bcb->= aab at position 3
.aabaabbbcb.ab
	rule aba->= abc at position 1
.aabcabbbcb.ab
	rule abb-> bac at position 4
.aabcbacbcb.ab
	rule cba-> bbb at position 3
.aabbbbcbcb.ab
	rule abb-> bac at position 1
.abacbbcbcb.ab
	rule bcb->= aab at position 5
.abacbaabcb.ab
	rule cba-> bbb at position 3
.ababbbabcb.ab
	rule bcb->= aab at position 7
.ababbbaaab.ab
	rule aba->= abc at position 8
.ababbbaaabc.b
	rule bcb->= aab at position 9
.ababbbaaaaab.