YES (ignored inputs)COMMENT Cops #647 - #721: generated ground TRSs; evenly distributed in the UNR/UNC/NFP/CR hierarchy submitted by: Bertram Felgenhauer Input: [ h(f(f(c)),b) -> f(h(h(h(c,h(f(h(c,f(b))),a)),b),c)), c -> c, f(f(h(h(f(a),a),c))) -> f(h(f(c),b)), h(f(h(f(b),h(h(f(h(c,f(c))),b),a))),h(a,c)) -> c ] Make it flat: [ h(!cl_12,!cl_13) -> c, !cl_13 -> !cl_13, h(a,c) -> !cl_13, !cl_11 -> !cl_11, f(!cl_9) -> !cl_11, !cl_9 -> !cl_9, h(!cl_7,c) -> !cl_9, h(!cl_5,a) -> !cl_7, f(a) -> !cl_5, !cl_3 -> !cl_3, f(!cl_1) -> !cl_3, !cl_1 -> !cl_1, f(c) -> !cl_1, f(b) -> !cl_0, !cr_0 -> f(b), !cr_1 -> h(c,!cr_0), !cr_2 -> f(!cr_1), !cr_3 -> h(!cr_2,a), !cr_4 -> h(c,!cr_3), !cr_5 -> h(!cr_4,b), !cr_6 -> h(!cr_5,c), h(c,!cl_1) -> !cl_2, !cl_2 -> !cl_2, f(!cl_2) -> !cl_4, !cl_4 -> !cl_4, h(!cl_3,b) -> f(!cr_6), c -> c, !cr_7 -> f(c), !cr_8 -> h(!cr_7,b), h(!cl_4,b) -> !cl_6, !cl_6 -> !cl_6, h(!cl_6,a) -> !cl_8, !cl_8 -> !cl_8, h(!cl_0,!cl_8) -> !cl_10, !cl_10 -> !cl_10, f(!cl_10) -> !cl_12, !cl_12 -> !cl_12, f(!cl_11) -> f(!cr_8) ] Time: 0.004 [s] Make it Complete (R^): [ h(!cl_12,!cl_13) = c, h(a,c) = !cl_13, f(!cl_9) = !cl_11, h(!cl_7,c) = !cl_9, h(!cl_5,a) = !cl_7, f(a) = !cl_5, f(!cr_7) = f(!cl_1), f(!cr_7) = !cl_3, f(!cl_1) = !cl_3, h(!cl_1,b) = h(!cr_7,b), h(!cl_1,b) = !cr_8, h(c,!cr_7) = h(c,!cl_1), h(c,!cr_7) = !cl_2, !cl_1 = !cr_7, f(c) = !cl_1, h(c,!cl_0) = h(c,!cr_0), h(c,!cl_0) = !cr_1, h(!cr_0,!cl_8) = h(!cl_0,!cl_8), h(!cr_0,!cl_8) = !cl_10, !cl_0 = !cr_0, f(b) = !cl_0, !cr_0 = f(b), !cr_1 = h(c,!cr_0), !cr_2 = f(!cr_1), !cr_3 = h(!cr_2,a), !cr_4 = h(c,!cr_3), !cr_5 = h(!cr_4,b), !cr_6 = h(!cr_5,c), h(c,!cl_1) = !cl_2, f(!cl_2) = !cl_4, h(!cl_3,b) = f(!cr_6), !cr_7 = f(c), !cr_8 = h(!cr_7,b), h(!cl_4,b) = !cl_6, h(!cl_6,a) = !cl_8, h(!cl_0,!cl_8) = !cl_10, f(!cl_10) = !cl_12, f(!cl_11) = f(!cr_8) ] Time: 0.006 [s] CPNF: [ !cl_7 … !cl_7, !cl_5 … !cl_5, b … b, a … a, !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: 0.014 [s] problems/690.trs: Success(UNC) real 0.04 user 0.02 sys 0.01