YES af/ONE-SORTED/671.trs Input rules: [ f(f(f(b))) -> b, h(h(a,a),h(f(f(a)),h(c,b))) -> f(c) ] Sorts having no ground terms: Rules applicable to ground terms: [ f(f(f(b))) -> b, h(h(a,a),h(f(f(a)),h(c,b))) -> f(c) ] Constructor pattern: [f(?x_1),b,h(?x_1,?x_2),a,c] Defined pattern: [] Constructor subsystem: [ f(f(f(b))) -> b, h(h(a,a),h(f(f(a)),h(c,b))) -> f(c) ] Modified Constructor subsystem: [ f(f(f(b))) -> b, h(h(a,a),h(f(f(a)),h(c,b))) -> f(c) ] Find a quasi-ordering ... order successfully found Precedence: c : Mul, b : Mul; h : Mul; a : Mul; f : Mul; Rules: [ f(f(f(b))) -> b, h(h(a,a),h(f(f(a)),h(c,b))) -> f(c) ] Check confluence of constructor subsystem... Check Termination... Terminating, WCR: CR Conjectures: [ ] STEP 0 ES: [ ] HS: [ ] ES0: [ ] HS0: [ ] ES1: [ ] HS1: [ ] : Success(GCR) (4 msec.) 0.02