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(h(c,h(h(h(h(f(h(a,b)),a),h(h(h(f(f(a)),c),h(f(b),a)),a)),b),c))), h(f(f(b)),h(c,h(f(f(h(h(b,h(c,c)),h(f(a),c)))),f(a)))) -> h(b,b), f(c) -> c, f(f(h(f(h(c,h(a,f(a)))),f(c)))) -> b ] Make it flat: [ h(!cl_3,!cl_16) -> h(b,b), !cl_16 -> !cl_16, h(c,!cl_15) -> !cl_16, !cl_14 -> !cl_14, f(!cl_13) -> !cl_14, !cl_12 -> !cl_12, f(!cl_10) -> !cl_12, !cl_10 -> !cl_10, h(!cl_6,!cl_8) -> !cl_10, !cl_8 -> !cl_8, f(c) -> !cl_8, !cl_6 -> !cl_6, f(!cl_4) -> !cl_6, !cl_4 -> !cl_4, h(c,!cl_2) -> !cl_4, !cl_2 -> !cl_2, h(a,!cl_0) -> !cl_2, a -> f(!cr_13), !cr_13 -> h(c,!cr_12), !cr_12 -> h(!cr_11,c), !cr_11 -> h(!cr_10,b), !cr_10 -> h(!cr_2,!cr_9), !cr_9 -> h(!cr_8,a), !cr_8 -> h(!cr_5,!cr_7), !cr_7 -> h(!cr_6,a), !cr_6 -> f(b), !cr_5 -> h(!cr_4,c), !cr_4 -> f(!cr_3), !cr_3 -> f(a), !cr_2 -> h(!cr_1,a), !cr_1 -> f(!cr_0), !cr_0 -> h(a,b), !cl_0 -> !cl_0, f(a) -> !cl_0, f(b) -> !cl_1, f(!cl_1) -> !cl_3, h(c,c) -> !cl_5, h(b,!cl_5) -> !cl_7, h(!cl_0,c) -> !cl_9, !cl_9 -> !cl_9, h(!cl_7,!cl_9) -> !cl_11, !cl_11 -> !cl_11, f(!cl_11) -> !cl_13, !cl_13 -> !cl_13, f(!cl_12) -> b, !cl_8 -> c, h(!cl_14,!cl_0) -> !cl_15, !cl_15 -> !cl_15 ] Time: 0.008 [s] Make it Complete (R^): [ h(!cl_3,!cl_16) = h(b,b), h(!cl_8,!cl_15) = h(c,!cl_15), h(!cl_8,!cl_15) = !cl_16, h(c,!cl_15) = !cl_16, f(!cl_13) = !cl_14, f(!cl_10) = !cl_12, h(!cl_6,c) = h(!cl_6,!cl_8), h(!cl_6,c) = !cl_10, h(!cl_6,!cl_8) = !cl_10, c = f(c), c = f(!cl_8), f(!cl_8) = f(c), f(!cl_8) = !cl_8, f(c) = !cl_8, f(!cl_4) = !cl_6, h(!cl_8,!cl_2) = h(c,!cl_2), h(!cl_8,!cl_2) = !cl_4, h(c,!cl_2) = !cl_4, h(a,!cr_3) = h(a,!cl_0), h(a,!cr_3) = !cl_2, h(a,!cl_0) = !cl_2, a = f(!cr_13), h(!cl_8,!cr_12) = h(c,!cr_12), h(!cl_8,!cr_12) = !cr_13, !cr_13 = h(c,!cr_12), h(!cr_11,!cl_8) = h(!cr_11,c), h(!cr_11,!cl_8) = !cr_12, !cr_12 = h(!cr_11,c), !cr_11 = h(!cr_10,b), !cr_10 = h(!cr_2,!cr_9), !cr_9 = h(!cr_8,a), !cr_8 = h(!cr_5,!cr_7), h(!cl_1,a) = h(!cr_6,a), h(!cl_1,a) = !cr_7, !cr_7 = h(!cr_6,a), f(!cr_6) = f(!cl_1), f(!cr_6) = !cl_3, !cr_6 = !cl_1, !cr_6 = f(b), h(!cr_4,!cl_8) = h(!cr_4,c), h(!cr_4,!cl_8) = !cr_5, !cr_5 = h(!cr_4,c), f(!cl_0) = f(!cr_3), f(!cl_0) = !cr_4, !cr_4 = f(!cr_3), h(!cl_14,!cr_3) = h(!cl_14,!cl_0), h(!cl_14,!cr_3) = !cl_15, h(!cr_3,c) = !cl_9, h(!cr_3,!cl_8) = !cl_9, h(!cr_3,c) = h(!cl_0,!cl_8), h(!cl_0,!cl_8) = h(!cr_3,!cl_8), h(!cr_3,c) = h(!cr_3,!cl_8), h(!cr_3,c) = h(!cl_0,c), h(!cr_3,!cl_8) = h(!cl_0,c), !cr_3 = !cl_0, !cr_3 = f(a), !cr_2 = h(!cr_1,a), !cr_1 = f(!cr_0), !cr_0 = h(a,b), f(a) = !cl_0, f(b) = !cl_1, f(!cl_1) = !cl_3, h(c,!cl_8) = !cl_5, h(!cl_8,!cl_8) = !cl_5, h(c,!cl_8) = h(!cl_8,c), h(c,!cl_8) = h(!cl_8,!cl_8), h(!cl_8,c) = h(!cl_8,!cl_8), h(c,!cl_8) = h(c,c), h(!cl_8,!cl_8) = h(c,c), h(!cl_8,c) = h(c,c), h(!cl_8,c) = !cl_5, h(c,c) = !cl_5, h(b,!cl_5) = !cl_7, h(!cl_0,!cl_8) = h(!cl_0,c), h(!cl_0,!cl_8) = !cl_9, h(!cl_0,c) = !cl_9, h(!cl_7,!cl_9) = !cl_11, f(!cl_11) = !cl_13, f(!cl_12) = b, !cl_8 = c, h(!cl_14,!cl_0) = !cl_15 ] Time: 0.020 [s] CPNF: [ !cl_1 … !cl_1, !cl_3 … !cl_3, !cl_5 … !cl_5, !cl_7 … !cl_7, b … b, !cl_8 … c ] Time: 0.001 [s] Now checking all the pairs in CW... Time to check pairs: 0.000 [s] The TRS has Uniqueness of Normal Forms. Total Time: 0.034 [s] problems/654.trs: Success(UNC) real 0.05 user 0.04 sys 0.01