/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES After renaming modulo the bijection { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2, 3 ↦ 3, 4 ↦ 4, 5 ↦ 5 }, it remains to prove termination of the 5-rule system { 0 1 2 3 4 ⟶ 0 2 3 1 4 , 0 5 1 2 3 4 ⟶ 0 1 2 5 3 4 , 0 5 1 2 3 4 ⟶ 0 5 2 1 3 4 , 0 5 1 2 3 4 ⟶ 5 0 2 3 1 4 , 0 5 2 3 1 4 ⟶ 0 1 5 2 3 4 } Applying sparse untiling TRFCU(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2, 3 ↦ 3, 4 ↦ 4, 5 ↦ 5 }, it remains to prove termination of the 2-rule system { 0 1 2 3 4 ⟶ 0 2 3 1 4 , 0 5 2 3 1 4 ⟶ 0 1 5 2 3 4 } Applying sparse untiling TRFCU(2) after reversal [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { }, it remains to prove termination of the 0-rule system { } The system is trivially terminating.