0.00/0.04 NO 0.00/0.04 /export/starexec/sandbox/benchmark/theBenchmark.trs 0.00/0.04 Input rules: 0.00/0.04 [ a -> f(a,b), 0.00/0.04 f(a,b) -> f(b,a) ] 0.00/0.04 Sorts having no ground terms: 0.00/0.04 Rules applicable to ground terms: 0.00/0.04 [ a -> f(a,b), 0.00/0.04 f(a,b) -> f(b,a) ] 0.00/0.04 Constructor pattern: [f(?x_1,?x_2),b] 0.00/0.04 Defined pattern: [a] 0.00/0.04 Constructor subsystem: 0.00/0.04 [ ] 0.00/0.04 Modified Constructor subsystem: 0.00/0.04 [ ] 0.00/0.04 No orientable rules for a. Add rules, and retry... 0.00/0.04 failed to construct defining rules 0.00/0.04 Retry with a different D/C-partition. 0.00/0.04 Constructor pattern: [f(?x_1,?x_2),b,a] 0.00/0.04 Defined pattern: [] 0.00/0.04 Constructor subsystem: 0.00/0.04 [ a -> f(a,b), 0.00/0.04 f(a,b) -> f(b,a) ] 0.00/0.04 Modified Constructor subsystem: 0.00/0.04 [ a -> f(a,b), 0.00/0.04 f(a,b) -> f(b,a) ] 0.00/0.04 Find a quasi-ordering ... 0.00/0.04 order successfully found 0.00/0.04 Precedence: 0.00/0.04 a : Mul, b : Mul; 0.00/0.04 f : Mul; 0.00/0.04 Rules: 0.00/0.04 [ f(a,b) -> f(b,a) ] 0.00/0.04 Check confluence of constructor subsystem... 0.00/0.04 Check Termination... 0.00/0.04 unknown Terminating, Linear, Oostrom: CR 0.00/0.04 Conjectures: 0.00/0.04 [ a = f(a,b) ] 0.00/0.04 STEP 0 0.00/0.04 ES: 0.00/0.04 [ a = f(a,b) ] 0.00/0.04 HS: 0.00/0.04 [ ] 0.00/0.04 ES0: 0.00/0.04 [ a = f(a,b) ] 0.00/0.04 HS0: 0.00/0.04 [ ] 0.00/0.04 ES1: 0.00/0.04 [ a = f(a,b) ] 0.00/0.04 HS1: 0.00/0.04 [ ] 0.00/0.04 No equation to expand 0.00/0.04 check Non-Ground-Confluence... 0.00/0.04 ground constructor terms for instantiation: {b,f(b,b)} 0.00/0.04 ground terms for instantiation: {b:o,f(b,b):o} 0.00/0.04 obtain 10 rules by 3 steps unfolding 0.00/0.04 obtain 100 candidates for checking non-joinability 0.00/0.04 check by TCAP-Approximation (success) 0.00/0.04 Witness for Non-Confluence: f(b,a)> 0.00/0.04 : Success(not GCR) 0.00/0.04 (10 msec.) 0.00/0.04 0.00/0.04 ============================= 0.00/0.04 Total: 1 Success, 0 Failure: 11 millisec. 0.00/0.04 EOF