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


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YES

After renaming modulo the bijection { b ↦ 0, a ↦ 1 },
it remains to prove termination of the 3-rule system
{ 0 0 0 1 0 ⟶ 0 1 0 0 1 0 ,
  0 1 0 0 ⟶ 0 0 1 0 1 0 ,
  0 1 0 1 1 0 0 ⟶ 0 1 1 0 1 1 0 0 0 1 0 }

The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 8:

0 ↦ ⎛                 ⎞
    ⎜ 1 0 1 1 0 0 0 0 ⎟
    ⎜ 0 1 0 0 0 0 0 0 ⎟
    ⎜ 0 0 0 0 0 0 0 0 ⎟
    ⎜ 0 0 0 0 1 0 0 0 ⎟
    ⎜ 0 0 0 0 0 0 0 0 ⎟
    ⎜ 0 0 0 0 0 0 0 0 ⎟
    ⎜ 0 0 0 0 0 1 0 1 ⎟
    ⎜ 0 1 0 0 0 0 0 0 ⎟
    ⎝                 ⎠

1 ↦ ⎛                 ⎞
    ⎜ 1 0 0 0 0 0 0 0 ⎟
    ⎜ 0 1 0 0 0 0 0 0 ⎟
    ⎜ 0 0 0 1 0 0 0 0 ⎟
    ⎜ 0 0 0 0 0 0 0 0 ⎟
    ⎜ 0 0 0 0 0 1 0 0 ⎟
    ⎜ 0 0 0 0 0 0 1 0 ⎟
    ⎜ 0 0 0 0 0 0 0 0 ⎟
    ⎜ 0 0 0 0 0 0 0 0 ⎟
    ⎝                 ⎠

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

The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 5:

0 ↦ ⎛           ⎞
    ⎜ 1 0 1 1 0 ⎟
    ⎜ 0 1 0 0 0 ⎟
    ⎜ 0 0 0 0 0 ⎟
    ⎜ 0 0 0 0 1 ⎟
    ⎜ 0 1 0 0 2 ⎟
    ⎝           ⎠

1 ↦ ⎛           ⎞
    ⎜ 1 0 0 0 0 ⎟
    ⎜ 0 1 0 0 0 ⎟
    ⎜ 0 0 0 1 0 ⎟
    ⎜ 0 0 0 0 0 ⎟
    ⎜ 0 0 0 1 0 ⎟
    ⎝           ⎠

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

The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 6:

0 ↦ ⎛             ⎞
    ⎜ 1 0 1 0 0 0 ⎟
    ⎜ 0 1 0 0 0 0 ⎟
    ⎜ 0 0 0 1 0 0 ⎟
    ⎜ 0 0 1 0 1 0 ⎟
    ⎜ 0 0 0 0 0 0 ⎟
    ⎜ 0 1 0 0 0 0 ⎟
    ⎝             ⎠

1 ↦ ⎛             ⎞
    ⎜ 1 0 0 0 0 0 ⎟
    ⎜ 0 1 0 0 0 0 ⎟
    ⎜ 0 0 0 0 0 0 ⎟
    ⎜ 0 0 0 0 0 0 ⎟
    ⎜ 0 0 0 0 0 1 ⎟
    ⎜ 0 0 0 0 0 0 ⎟
    ⎝             ⎠

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

The system is trivially terminating.