0.00/0.07 YES 0.00/0.07 /export/starexec/sandbox/benchmark/theBenchmark.trs 0.00/0.07 Input rules: 0.00/0.07 [ f(a,b) -> c, 0.00/0.07 a -> a', 0.00/0.07 b -> b', 0.00/0.07 c -> f(a',b), 0.00/0.07 c -> f(a,b'), 0.00/0.07 c -> f(a,b) ] 0.00/0.07 Sorts having no ground terms: 0.00/0.07 Rules applicable to ground terms: 0.00/0.07 [ f(a,b) -> c, 0.00/0.07 a -> a', 0.00/0.07 b -> b', 0.00/0.07 c -> f(a',b), 0.00/0.07 c -> f(a,b'), 0.00/0.07 c -> f(a,b) ] 0.00/0.07 Constructor pattern: [f(?x_1,?x_2),a',b'] 0.00/0.07 Defined pattern: [c,b,a] 0.00/0.07 Constructor subsystem: 0.00/0.07 [ ] 0.00/0.07 Modified Constructor subsystem: 0.00/0.07 [ ] 0.00/0.07 candidate for c: 0.00/0.07 [ c -> f(a,b) ] 0.00/0.07 [ c -> f(a,b') ] 0.00/0.07 [ c -> f(a',b) ] 0.00/0.07 candidate for b: 0.00/0.07 [ b -> b' ] 0.00/0.07 candidate for a: 0.00/0.07 [ a -> a' ] 0.00/0.07 Find a quasi-ordering ... 0.00/0.07 order successfully found 0.00/0.07 Precedence: 0.00/0.07 c : Mul, b : Mul; 0.00/0.07 f : Mul; 0.00/0.07 b' : Mul; 0.00/0.07 a : Mul; 0.00/0.07 a' : Mul; 0.00/0.07 Rules: 0.00/0.07 [ c -> f(a,b'), 0.00/0.07 b -> b', 0.00/0.07 a -> a' ] 0.00/0.07 Conjectures: 0.00/0.07 [ f(a,b) = c, 0.00/0.07 c = f(a',b), 0.00/0.07 c = f(a,b) ] 0.00/0.07 STEP 0 0.00/0.07 ES: 0.00/0.07 [ f(a,b) = c, 0.00/0.07 c = f(a',b), 0.00/0.07 c = f(a,b) ] 0.00/0.07 HS: 0.00/0.07 [ ] 0.00/0.07 ES0: 0.00/0.07 [ f(a',b') = f(a',b'), 0.00/0.07 f(a',b') = f(a',b'), 0.00/0.07 f(a',b') = f(a',b') ] 0.00/0.07 HS0: 0.00/0.07 [ ] 0.00/0.07 ES1: 0.00/0.07 [ ] 0.00/0.07 HS1: 0.00/0.07 [ ] 0.00/0.07 : Success(GCR) 0.00/0.07 (12 msec.) 0.00/0.07 0.00/0.07 ============================= 0.00/0.07 Total: 1 Success, 0 Failure: 13 millisec. 0.00/0.07 EOF