/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 0 1 2 -> 2 2 0 0 0 0 } Loop of length 24 starting with a string of length 11 using right expansion and the encoding { 0->a, 1->b, ... }: .a.abcabccbcc rule a-> b at position 0 .b.abcabccbcc rule babc-> ccaaaa at position 0 .ccaaaa.abccbcc rule a-> b at position 2 .ccbaaa.abccbcc rule a-> b at position 4 .ccbaba.abccbcc rule a-> b at position 5 .ccbabb.abccbcc rule babc-> ccaaaa at position 5 .ccbabccaaaa.cbcc rule babc-> ccaaaa at position 2 .ccccaaaacaaaa.cbcc rule a-> b at position 5 .ccccabaacaaaa.cbcc rule a-> b at position 7 .ccccababcaaaa.cbcc rule babc-> ccaaaa at position 5 .ccccaccaaaaaaaa.cbcc rule a-> b at position 9 .ccccaccaabaaaaa.cbcc rule a-> b at position 11 .ccccaccaababaaa.cbcc rule a-> b at position 12 .ccccaccaababbaa.cbcc rule a-> b at position 14 .ccccaccaababbab.cbcc rule babc-> ccaaaa at position 12 .ccccaccaababccaaaa.bcc rule babc-> ccaaaa at position 9 .ccccaccaaccaaaacaaaa.bcc rule a-> b at position 14 .ccccaccaaccaaabcaaaa.bcc rule a-> b at position 17 .ccccaccaaccaaabcabaa.bcc rule a-> b at position 18 .ccccaccaaccaaabcabba.bcc rule babc-> ccaaaa at position 18 .ccccaccaaccaaabcabccaaaa.c rule a-> b at position 20 .ccccaccaaccaaabcabccbaaa.c rule a-> b at position 21 .ccccaccaaccaaabcabccbbaa.c rule a-> b at position 23 .ccccaccaaccaaabcabccbbab.c rule babc-> ccaaaa at position 21 .ccccaccaaccaaabcabccbccaaaa.