/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES After renaming modulo { b->0, c->1, a->2 }, it remains to prove termination of the 3-rule system { 0 1 -> 1 0 , 1 0 -> 2 2 2 , 2 2 2 2 -> 0 1 } The system was reversed. After renaming modulo { 1->0, 0->1, 2->2 }, it remains to prove termination of the 3-rule system { 0 1 -> 1 0 , 1 0 -> 2 2 2 , 2 2 2 2 -> 0 1 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 is interpreted by / \ | 1 7 | | 0 1 | \ / 1 is interpreted by / \ | 1 0 | | 0 1 | \ / 2 is interpreted by / \ | 1 2 | | 0 1 | \ / After renaming modulo { 0->0, 1->1 }, it remains to prove termination of the 1-rule system { 0 1 -> 1 0 } Applying sparse untiling TRFCU(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo { }, it remains to prove termination of the 0-rule system { }