/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 5: a is interpreted by / \ | 1 2 0 0 0 | | 0 1 0 0 0 | | 0 0 0 0 0 | | 0 0 0 0 1 | | 0 1 1 1 0 | \ / b is interpreted by / \ | 1 3 0 0 0 | | 0 1 0 0 0 | | 0 0 0 0 0 | | 0 1 1 1 0 | | 0 1 0 0 1 | \ / c is interpreted by / \ | 1 0 1 0 2 | | 0 1 0 0 0 | | 0 0 0 1 0 | | 0 0 3 0 0 | | 0 1 0 0 2 | \ / Remains to prove termination of the 2-rule system { b b a a -> a a b b , b b b b -> a a a a a a } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: a is interpreted by / \ | 1 0 | | 0 1 | \ / b is interpreted by / \ | 1 1 | | 0 1 | \ / c is interpreted by / \ | 1 0 | | 0 1 | \ / Remains to prove termination of the 1-rule system { b b a a -> a a b b } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 5: a is interpreted by / \ | 1 0 1 0 0 | | 0 1 0 0 0 | | 0 0 0 0 0 | | 0 0 0 0 1 | | 0 1 0 1 0 | \ / b is interpreted by / \ | 2 0 1 0 0 | | 0 1 0 0 0 | | 0 0 0 1 0 | | 0 0 1 0 0 | | 0 0 1 0 0 | \ / c is interpreted by / \ | 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 | \ / Remains to prove termination of the 0-rule system { } The system is trivially terminating.