YES (ignored inputs)COMMENT doi:10.1007/s00200-004-0148-6 [40] Example 3 Input: [ -(+(x,-(x))) -> 0, +(x,-(x)) -> 0, 0 -> -(0) ] Make it flat: [ -(!cl_1) -> 0, !cl_1 -> 0, !cl_1 -> !cl_1, +(x,!cl_0) -> !cl_1, 0 -> -(0), -(x) -> !cl_0 ] Time: 0.000 [s] Make it Complete (R^): [ -(!cl_1) = 0, !cl_1 = -(0), -(!cl_1) = !cl_1, -(!cl_1) = -(0), -(!cl_1) = +(x,!cl_0), +(x,!cl_0) = -(0), 0 = +(x,!cl_0), !cl_1 = 0, +(x,!cl_0) = !cl_1, 0 = -(0), -(x) = !cl_0 ] Time: 0.001 [s] CPNF: [ x … x, !cl_0 … !cl_0 ] Time: 0.000 [s] Now checking all the pairs in CW... Time to check pairs: 0.000 [s] The TRS has Uniqueness of Normal Forms. Total Time: 0.002 [s] problems/224.trs: Success(UNC) real 0.02 user 0.00 sys 0.02