/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO After renaming modulo { a->0, b->1, c->2 }, it remains to prove termination of the 3-rule system { 0 0 -> 1 , 0 1 -> 2 0 , 2 2 -> 1 0 1 } Loop of length 17 starting with a string of length 8 using right expansion and the encoding { 0->a, 1->b, ... }: .ab.bbbabb rule ab-> ca at position 0 .ca.bbbabb rule ab-> ca at position 1 .cca.bbabb rule cc-> bab at position 0 .baba.bbabb rule ab-> ca at position 3 .babca.babb rule ab-> ca at position 4 .babcca.abb rule cc-> bab at position 3 .babbaba.abb rule ab-> ca at position 4 .babbcaa.abb rule aa-> b at position 6 .babbcab.bb rule ab-> ca at position 5 .babbcca.bb rule cc-> bab at position 4 .babbbaba.bb rule ab-> ca at position 5 .babbbcaa.bb rule ab-> ca at position 7 .babbbcaca.b rule ab-> ca at position 8 .babbbcacca. rule cc-> bab at position 7 .babbbcababa. rule ab-> ca at position 6 .babbbccaaba. rule cc-> bab at position 5 .babbbbabaaba. rule aa-> b at position 8 .babbbbabbba.