0.00/0.02 NO 0.00/0.02 (ignored inputs)COMMENT COPS 82 84 COMMENT submitted by: Aart Middeldorp 0.00/0.02 Rewrite Rules (1): 0.00/0.02 [ f(a) -> f(f(a)), 0.00/0.02 f(?x) -> f(a) ] 0.00/0.02 Rewrite Rules (2): 0.00/0.02 [ a -> b, 0.00/0.02 f(a) -> g(a), 0.00/0.02 f(b) -> g(b) ] 0.00/0.02 both left-linear 0.00/0.02 check commutation with R1 := (1), R2 := (2) 0.00/0.02 check CPs are development closed... 0.00/0.02 ...failed 0.00/0.02 check commutation with R1 := (2), R2 := (1) 0.00/0.02 check CPs are development closed... 0.00/0.02 ...failed 0.00/0.02 check non-commutation 0.00/0.02 check with R1 := (1), R2 := (2) 0.00/0.02 check counter example from CPs... 0.00/0.02 check candidate: 0.00/0.02 check candidate: 0.00/0.02 Counter example: g(a) <-R2- f(a) -R1-> f(f(a)) 0.00/0.02 0.00/0.02 result: not COM 0.00/0.02 /export/starexec/sandbox2/benchmark/theBenchmark.trs: Success(not COM) 0.00/0.02 (1 msec.) 0.00/0.02 EOF