YES (ignored inputs)COMMENT Cops #647 - #721: generated ground TRSs; evenly distributed in the UNR/UNC/NFP/CR hierarchy submitted by: Bertram Felgenhauer Input: [ a -> f(f(h(a,c))), h(h(h(c,f(h(f(h(h(c,c),c)),b))),h(h(a,c),h(f(a),h(f(f(c)),h(c,b))))),h(f(a),c)) -> c ] Make it flat: [ h(!cl_14,!cl_15) -> c, !cl_15 -> !cl_15, h(!cl_7,c) -> !cl_15, !cl_13 -> !cl_13, h(!cl_6,!cl_12) -> !cl_13, h(!cl_9,!cl_10) -> !cl_11, f(!cl_8) -> !cl_9, !cl_7 -> !cl_7, f(a) -> !cl_7, h(c,!cl_4) -> !cl_5, h(!cl_2,b) -> !cl_3, h(!cl_0,c) -> !cl_1, h(c,c) -> !cl_0, !cr_0 -> h(a,c), !cr_1 -> f(!cr_0), a -> f(!cr_1), f(!cl_1) -> !cl_2, f(!cl_3) -> !cl_4, h(a,c) -> !cl_6, !cl_6 -> !cl_6, f(c) -> !cl_8, h(c,b) -> !cl_10, h(!cl_7,!cl_11) -> !cl_12, !cl_12 -> !cl_12, h(!cl_5,!cl_13) -> !cl_14, !cl_14 -> !cl_14 ] Time: 0.005 [s] Make it Complete (R^): [ h(!cl_14,!cl_15) = c, h(!cl_7,c) = !cl_15, h(!cr_0,!cl_12) = h(!cl_6,!cl_12), h(!cr_0,!cl_12) = !cl_13, h(!cl_6,!cl_12) = !cl_13, h(!cl_9,!cl_10) = !cl_11, f(!cl_8) = !cl_9, f(a) = !cl_7, h(c,!cl_4) = !cl_5, h(!cl_2,b) = !cl_3, h(!cl_0,c) = !cl_1, h(c,c) = !cl_0, f(!cl_6) = f(!cr_0), f(!cl_6) = !cr_1, !cr_0 = !cl_6, !cr_0 = h(a,c), !cr_1 = f(!cr_0), a = f(!cr_1), f(!cl_1) = !cl_2, f(!cl_3) = !cl_4, h(a,c) = !cl_6, f(c) = !cl_8, h(c,b) = !cl_10, h(!cl_7,!cl_11) = !cl_12, h(!cl_5,!cl_13) = !cl_14 ] Time: 0.001 [s] CPNF: [ !cl_9 … !cl_9, !cl_0 … !cl_0, !cl_1 … !cl_1, !cl_2 … !cl_2, !cl_3 … !cl_3, !cl_4 … !cl_4, !cl_8 … !cl_8, b … b, c … c, !cl_10 … !cl_10, !cl_11 … !cl_11, !cl_5 … !cl_5 ] 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: 0.008 [s] problems/703.trs: Success(UNC) real 0.02 user 0.02 sys 0.00