/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 2-rule system { 0 -> 1 , 1 1 1 2 -> 2 2 0 0 1 0 } Loop of length 25 starting with a string of length 11 using right expansion and the encoding { 0->a, 1->b, ... }: .a.bbcbbccbcc rule a-> b at position 0 .b.bbcbbccbcc rule bbbc-> ccaaba at position 0 .ccaaba.bbccbcc rule a-> b at position 2 .ccbaba.bbccbcc rule a-> b at position 3 .ccbbba.bbccbcc rule a-> b at position 5 .ccbbbb.bbccbcc rule bbbc-> ccaaba at position 5 .ccbbbccaaba.cbcc rule bbbc-> ccaaba at position 2 .ccccaabacaaba.cbcc rule a-> b at position 5 .ccccabbacaaba.cbcc rule a-> b at position 7 .ccccabbbcaaba.cbcc rule bbbc-> ccaaba at position 5 .ccccaccaabaaaba.cbcc rule a-> b at position 10 .ccccaccaabbaaba.cbcc rule a-> b at position 11 .ccccaccaabbbaba.cbcc rule a-> b at position 12 .ccccaccaabbbbba.cbcc rule a-> b at position 14 .ccccaccaabbbbbb.cbcc rule bbbc-> ccaaba at position 12 .ccccaccaabbbccaaba.bcc rule bbbc-> ccaaba at position 9 .ccccaccaaccaabacaaba.bcc rule a-> b at position 14 .ccccaccaaccaabbcaaba.bcc rule a-> b at position 16 .ccccaccaaccaabbcbaba.bcc rule a-> b at position 17 .ccccaccaaccaabbcbbba.bcc rule a-> b at position 19 .ccccaccaaccaabbcbbbb.bcc rule bbbc-> ccaaba at position 18 .ccccaccaaccaabbcbbccaaba.c rule a-> b at position 20 .ccccaccaaccaabbcbbccbaba.c rule a-> b at position 21 .ccccaccaaccaabbcbbccbbba.c rule a-> b at position 23 .ccccaccaaccaabbcbbccbbbb.c rule bbbc-> ccaaba at position 21 .ccccaccaaccaabbcbbccbccaaba.