YES (ignored inputs)COMMENT Cops #647 - #721: generated ground TRSs; evenly distributed in the UNR/UNC/NFP/CR hierarchy submitted by: Bertram Felgenhauer Input: [ c -> h(a,h(f(f(f(f(c)))),h(a,h(b,b)))), h(h(c,f(f(a))),f(b)) -> a, h(c,f(f(c))) -> f(f(a)), h(f(h(c,b)),h(h(h(b,a),h(c,f(h(h(b,a),a)))),c)) -> c ] Make it flat: [ h(!cl_2,!cl_13) -> c, !cl_13 -> !cl_13, h(!cl_12,c) -> !cl_13, !cl_11 -> !cl_11, f(!cl_9) -> !cl_11, !cl_9 -> !cl_9, f(c) -> !cl_9, f(b) -> !cl_7, !cl_5 -> !cl_5, h(c,!cl_3) -> !cl_5, f(!cl_1) -> !cl_3, f(a) -> !cl_1, h(c,b) -> !cl_0, !cl_0 -> !cl_0, !cr_0 -> f(c), !cr_1 -> f(!cr_0), !cr_2 -> f(!cr_1), !cr_3 -> f(!cr_2), !cr_4 -> h(b,b), !cr_5 -> h(a,!cr_4), !cr_6 -> h(!cr_3,!cr_5), c -> h(a,!cr_6), f(!cl_0) -> !cl_2, !cl_2 -> !cl_2, h(b,a) -> !cl_4, h(!cl_4,a) -> !cl_6, f(!cl_6) -> !cl_8, h(!cl_5,!cl_7) -> a, !cr_7 -> f(a), h(c,!cl_8) -> !cl_10, !cl_10 -> !cl_10, h(!cl_4,!cl_10) -> !cl_12, !cl_12 -> !cl_12, h(c,!cl_11) -> f(!cr_7) ] Time: 0.002 [s] Make it Complete (R^): [ h(!cl_2,!cl_13) = h(a,!cr_6), h(!cl_2,!cl_13) = c, h(!cl_12,c) = !cl_13, f(!cr_0) = !cl_11, f(!cl_11) = f(!cr_1), f(!cl_11) = !cr_2, h(c,!cr_1) = f(!cr_7), h(c,!cr_1) = f(!cl_1), h(c,!cr_1) = h(c,!cl_11), h(c,!cr_1) = !cl_3, !cl_11 = !cr_1, f(!cl_9) = !cl_11, f(!cl_9) = f(!cr_0), f(!cl_9) = !cr_1, !cl_9 = !cr_0, f(c) = !cl_9, f(b) = !cl_7, h(c,!cl_3) = !cl_5, f(!cr_7) = !cl_3, !cl_3 = h(c,!cl_11), f(!cl_1) = !cl_3, f(!cl_1) = f(!cr_7), f(!cl_1) = h(c,!cl_11), !cl_1 = !cr_7, f(a) = !cl_1, h(c,b) = !cl_0, !cr_0 = f(c), !cr_1 = f(!cr_0), !cr_2 = f(!cr_1), !cr_3 = f(!cr_2), !cr_4 = h(b,b), !cr_5 = h(a,!cr_4), !cr_6 = h(!cr_3,!cr_5), c = h(a,!cr_6), f(!cl_0) = !cl_2, h(b,a) = !cl_4, h(!cl_4,a) = !cl_6, f(!cl_6) = !cl_8, h(!cl_5,!cl_7) = a, !cr_7 = f(a), h(c,!cl_8) = !cl_10, h(!cl_4,!cl_10) = !cl_12, h(c,!cl_11) = f(!cr_7) ] Time: 0.007 [s] CPNF: [ !cr_5 … h(a,h(b,b)), !cr_4 … h(b,b), !cl_3 … !cl_3, !cl_1 … !cl_1, b … b, !cl_6 … !cl_6, !cl_7 … !cl_7, a … a, !cl_8 … !cl_8, !cl_4 … !cl_4 ] 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: 0.012 [s] problems/650.trs: Success(UNC) real 0.03 user 0.02 sys 0.01