NO af/ONE-SORTED/673.trs Input rules: [ b -> c, h(b,b) -> a, h(c,c) -> c, c -> c ] Sorts having no ground terms: Rules applicable to ground terms: [ b -> c, h(b,b) -> a, h(c,c) -> c, c -> c ] Constructor pattern: [h(?x_1,?x_2),a] Defined pattern: [c,b] Constructor subsystem: [ ] Modified Constructor subsystem: [ ] No orientable rules for c. Add rules, and retry... failed to construct defining rules Retry with a different D/C-partition. Constructor pattern: [h(?x_1,?x_2),a,c] Defined pattern: [b] Constructor subsystem: [ h(c,c) -> c, c -> c ] c -> c {} [ ] Modified Constructor subsystem: [ h(c,c) -> c ] candidate for b: [ b -> c ] Find a quasi-ordering ... order successfully found Precedence: b : Mul; h : Mul; c : Mul; a : Mul; Rules: [ b -> c, h(c,c) -> c ] Check confluence of constructor subsystem... Check Termination... Terminating, WCR: CR Conjectures: [ h(b,b) = a ] STEP 0 ES: [ h(b,b) = a ] HS: [ ] ES0: [ c = a ] HS0: [ ] ES1: [ c = a ] HS1: [ ] : Success(not GCR) (2 msec.) 0.01