/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/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 1 2 -> 1 0 2 ,
  0 1 2 -> 0 1 1 ,
  2 1 2 -> 2 0 1 ,
  1 0 0 -> 2 0 2 ,
  2 2 0 -> 1 2 1 ,
  1 1 1 ->= 2 0 0 }


Loop of length 50 starting with a string of length 13
using right expansion and the encoding { 0->a, 1->b, ... }:

.abc.aacaaacaba
	rule abc-> abb at position 0
.abb.aacaaacaba
	rule baa-> cac at position 2
.abcac.caaacaba
	rule abc-> abb at position 0
.abbac.caaacaba
	rule cca-> bcb at position 4
.abbabcb.aacaba
	rule baa-> cac at position 6
.abbabccac.caba
	rule cca-> bcb at position 8
.abbabccabcb.ba
	rule abc-> abb at position 7
.abbabccabbb.ba
	rule bbb->= caa at position 9
.abbabccabcaa.a
	rule abc-> abb at position 7
.abbabccabbaa.a
	rule baa-> cac at position 9
.abbabccabcac.a
	rule abc-> abb at position 7
.abbabccabbac.a
	rule cca-> bcb at position 5
.abbabbcbbbac.a
	rule bbb->= caa at position 7
.abbabbccaaac.a
	rule cca-> bcb at position 6
.abbabbbcbaac.a
	rule baa-> cac at position 8
.abbabbbccacc.a
	rule cca-> bcb at position 7
.abbabbbbcbcc.a
	rule bbb->= caa at position 5
.abbabcaacbcc.a
	rule abc-> abb at position 3
.abbabbaacbcc.a
	rule baa-> cac at position 5
.abbabcaccbcc.a
	rule abc-> bac at position 3
.abbbacaccbcc.a
	rule cbc-> cab at position 8
.abbbacaccabc.a
	rule abc-> abb at position 9
.abbbacaccabb.a
	rule cca-> bcb at position 7
.abbbacabcbbb.a
	rule abc-> bac at position 6
.abbbacbacbbb.a
	rule bbb->= caa at position 9
.abbbacbaccaa.a
	rule cca-> bcb at position 8
.abbbacbabcba.a
	rule abc-> bac at position 7
.abbbacbbacba.a
	rule baa-> cac at position 10
.abbbacbbaccac.
	rule cca-> bcb at position 9
.abbbacbbabcbc.
	rule abc-> bac at position 8
.abbbacbbbacbc.
	rule bbb->= caa at position 6
.abbbaccaaacbc.
	rule cca-> bcb at position 5
.abbbabcbaacbc.
	rule abc-> bac at position 4
.abbbbacbaacbc.
	rule bbb->= caa at position 2
.abcaaacbaacbc.
	rule baa-> cac at position 7
.abcaaaccaccbc.
	rule cbc-> cab at position 10
.abcaaaccaccab.
	rule cca-> bcb at position 9
.abcaaaccabcbb.
	rule abc-> abb at position 8
.abcaaaccabbbb.
	rule bbb->= caa at position 10
.abcaaaccabcaa.
	rule abc-> abb at position 8
.abcaaaccabbaa.
	rule cca-> bcb at position 6
.abcaaabcbbbaa.
	rule abc-> bac at position 5
.abcaabacbbbaa.
	rule bbb->= caa at position 8
.abcaabaccaaaa.
	rule cca-> bcb at position 7
.abcaababcbaaa.
	rule abc-> bac at position 6
.abcaabbacbaaa.
	rule baa-> cac at position 9
.abcaabbaccaca.
	rule cca-> bcb at position 8
.abcaabbabcbca.
	rule abc-> bac at position 7
.abcaabbbacbca.
	rule bbb->= caa at position 5
.abcaacaaacbca.
	rule cbc-> cab at position 9
.abcaacaaacaba.