0.00/0.03 NO 0.00/0.03 (ignored inputs)COMMENT COPS 34 111 COMMENT submitted by: Kiraku Shintani 0.00/0.03 Rewrite Rules (1): 0.00/0.03 [ f(a,b) -> c, 0.00/0.03 a -> a', 0.00/0.03 b -> b', 0.00/0.03 c -> f(a',b), 0.00/0.03 c -> f(a,b'), 0.00/0.03 c -> f(a,b) ] 0.00/0.03 Rewrite Rules (2): 0.00/0.03 [ a -> b, 0.00/0.03 a -> c, 0.00/0.03 a -> e, 0.00/0.03 b -> d, 0.00/0.03 c -> a, 0.00/0.03 d -> a, 0.00/0.03 d -> e, 0.00/0.03 g(?x) -> h(a), 0.00/0.03 h(?x) -> e ] 0.00/0.03 both left-linear 0.00/0.03 check commutation with R1 := (1), R2 := (2) 0.00/0.03 check CPs are development closed... 0.00/0.03 ...failed 0.00/0.03 check commutation with R1 := (2), R2 := (1) 0.00/0.03 check CPs are development closed... 0.00/0.03 ...failed 0.00/0.03 check non-commutation 0.00/0.03 check with R1 := (1), R2 := (2) 0.00/0.03 check counter example from CPs... 0.00/0.03 check candidate: 0.00/0.03 Counter example: f(b,b) <-R2- f(a,b) -R1-> c 0.00/0.03 0.00/0.03 result: not COM 0.00/0.03 /export/starexec/sandbox/benchmark/theBenchmark.trs: Success(not COM) 0.00/0.03 (0 msec.) 0.00/0.03 EOF