/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 4-rule system { 0 -> , 0 1 -> 1 0 2 0 , 2 1 -> , 2 2 -> 1 } Loop of length 17 starting with a string of length 8 using right expansion and the encoding { 0->a, 1->b, ... }: .ab.cbcbbc rule ab-> baca at position 0 .baca.cbcbbc rule a-> at position 3 .bac.cbcbbc rule cc-> b at position 2 .bab.bcbbc rule ab-> baca at position 1 .bbaca.bcbbc rule ab-> baca at position 4 .bbacbaca.cbbc rule cb-> at position 3 .bbaaca.cbbc rule a-> at position 5 .bbaac.cbbc rule cc-> b at position 4 .bbaab.bbc rule ab-> baca at position 3 .bbabaca.bbc rule a-> at position 4 .bbabca.bbc rule ab-> baca at position 5 .bbabcbaca.bc rule a-> at position 6 .bbabcbca.bc rule ab-> baca at position 7 .bbabcbcbaca.c rule a-> at position 10 .bbabcbcbac.c rule cc-> b at position 9 .bbabcbcbab. rule ab-> baca at position 8 .bbabcbcbbaca. rule a-> at position 9 .bbabcbcbbca.