MAYBE af/ONE-SORTED/705.trs Input rules: [ a -> c, c -> a, c -> h(a,c) ] Sorts having no ground terms: Rules applicable to ground terms: [ a -> c, c -> a, c -> h(a,c) ] Constructor pattern: [h(?x_1,?x_2)] Defined pattern: [c,a] Constructor subsystem: [ ] Modified Constructor subsystem: [ ] candidate for c: [ c -> a ] candidate for a: [ a -> c ] Find a quasi-ordering ... encodeSameNthStatus h/0, h/1 encodeSameNthStatus(sub) logArF:1, logArG:1 failed to find an ordering. Try to supplement auxiliary rules. {}{}{c}Supplemented Rules: [ ] failed to supplement auxiliary rules check Non-Ground-Confluence... ground constructor terms for instantiation: {} ground terms for instantiation: {a:o} obtain 10 rules by 3 steps unfolding obtain 100 candidates for checking non-joinability check by TCAP-Approximation (failure) check by Ordering(rpo), check by Tree-Automata Approximation (failure) check by Interpretation(mod2) (failure) check by Descendants-Approximation, check by Ordering(poly) (failure) : Failure(unknown) (727 msec.) 2.79