NO af/ONE-SORTED/698.trs Input rules: [ c -> f(h(b,b)), c -> b, b -> b, c -> a ] Sorts having no ground terms: Rules applicable to ground terms: [ c -> f(h(b,b)), c -> b, b -> b, c -> a ] Constructor pattern: [f(?x_1),h(?x_1,?x_2),a] Defined pattern: [b,c] Constructor subsystem: [ ] Modified Constructor subsystem: [ ] No orientable rules for b. Add rules, and retry... failed to construct defining rules Retry with a different D/C-partition. Constructor pattern: [f(?x_1),h(?x_1,?x_2),a,b] Defined pattern: [c] Constructor subsystem: [ b -> b ] b -> b {} [ ] Modified Constructor subsystem: [ ] candidate for c: [ c -> f(h(b,b)) ] [ c -> b ] [ c -> a ] Find a quasi-ordering ... order successfully found Precedence: f : Mul; c : Mul, b : Mul; a : Mul; h : Mul; Rules: [ c -> a ] Conjectures: [ c = f(h(b,b)), c = b ] STEP 0 ES: [ c = f(h(b,b)), c = b ] HS: [ ] ES0: [ a = f(h(b,b)), a = b ] HS0: [ ] ES1: [ a = f(h(b,b)), a = b ] HS1: [ ] : Success(not GCR) (3 msec.) 0.02