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

The system was reversed.

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

Loop of length 28 starting with a string of length 9
using right expansion and the encoding { 0 ↦ a, 1 ↦ b, ... }:

.aaa.aaaaaa
	rule aaa-> bbbca at position 0
.bbbca.aaaaaa
	rule aaa-> bbbca at position 4
.bbbcbbbca.aaaa
	rule cb-> ac at position 3
.bbbacbbca.aaaa
	rule cb-> ac at position 4
.bbbaacbca.aaaa
	rule cb-> ac at position 5
.bbbaaacca.aaaa
	rule aaa-> bbbca at position 8
.bbbaaaccbbbca.aa
	rule cb-> ac at position 7
.bbbaaacacbbca.aa
	rule cb-> ac at position 8
.bbbaaacaacbca.aa
	rule cb-> ac at position 9
.bbbaaacaaacca.aa
	rule aaa-> bbbca at position 7
.bbbaaacbbbcacca.aa
	rule cb-> ac at position 6
.bbbaaaacbbcacca.aa
	rule cb-> ac at position 7
.bbbaaaaacbcacca.aa
	rule cb-> ac at position 8
.bbbaaaaaaccacca.aa
	rule aaa-> bbbca at position 14
.bbbaaaaaaccaccbbbca.
	rule cb-> ac at position 13
.bbbaaaaaaccacacbbca.
	rule cb-> ac at position 14
.bbbaaaaaaccacaacbca.
	rule cb-> ac at position 15
.bbbaaaaaaccacaaacca.
	rule aaa-> bbbca at position 13
.bbbaaaaaaccacbbbcacca.
	rule cb-> ac at position 12
.bbbaaaaaaccaacbbcacca.
	rule cb-> ac at position 13
.bbbaaaaaaccaaacbcacca.
	rule aaa-> bbbca at position 11
.bbbaaaaaaccbbbcacbcacca.
	rule cb-> ac at position 10
.bbbaaaaaacacbbcacbcacca.
	rule cb-> ac at position 11
.bbbaaaaaacaacbcacbcacca.
	rule cb-> ac at position 12
.bbbaaaaaacaaaccacbcacca.
	rule aaa-> bbbca at position 10
.bbbaaaaaacbbbcaccacbcacca.
	rule cb-> ac at position 9
.bbbaaaaaaacbbcaccacbcacca.
	rule cb-> ac at position 10
.bbbaaaaaaaacbcaccacbcacca.
	rule cb-> ac at position 11
.bbbaaaaaaaaaccaccacbcacca.