/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO After renaming modulo { a->0, b->1, c->2 }, it remains to prove termination of the 3-rule system { 0 1 -> , 0 1 -> 1 2 , 0 2 -> 1 0 0 0 } 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 -> , 0 1 -> 2 0 , 2 1 -> 1 1 1 0 } Loop of length 24 starting with a string of length 8 using right expansion and the encoding { 0->a, 1->b, ... }: .ab.bbbbbb rule ab-> ca at position 0 .ca.bbbbbb rule ab-> ca at position 1 .cca.bbbbb rule ab-> ca at position 2 .ccca.bbbb rule ab-> ca at position 3 .cccca.bbb rule ab-> ca at position 4 .ccccca.bb rule ab-> at position 5 .ccccc.b rule cb-> bbba at position 4 .ccccbbba. rule cb-> bbba at position 3 .cccbbbabba. rule cb-> bbba at position 2 .ccbbbabbabba. rule cb-> bbba at position 1 .cbbbabbabbabba. rule cb-> bbba at position 0 .bbbabbabbabbabba. rule ab-> ca at position 6 .bbbabbcababbabba. rule ab-> ca at position 7 .bbbabbccaabbabba. rule ab-> ca at position 9 .bbbabbccacababba. rule ab-> at position 10 .bbbabbccacabba. rule ab-> at position 10 .bbbabbccacba. rule cb-> bbba at position 9 .bbbabbccabbbaa. rule ab-> ca at position 8 .bbbabbcccabbaa. rule ab-> at position 9 .bbbabbcccbaa. rule cb-> bbba at position 8 .bbbabbccbbbaaa. rule cb-> bbba at position 7 .bbbabbcbbbabbaaa. rule cb-> bbba at position 6 .bbbabbbbbabbabbaaa. rule ab-> at position 9 .bbbabbbbbbabbaaa. rule ab-> at position 10 .bbbabbbbbbbaaa.