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(h(b,h(h(c,h(a,f(h(f(c),c)))),h(h(h(h(a,c),h(f(a),b)),b),f(f(a))))),f(h(a,c))) -> c, c -> h(f(h(f(h(b,h(c,b))),f(a))),h(c,h(f(h(b,h(a,h(h(h(c,c),a),b)))),c))), c -> h(h(c,h(a,f(h(c,c)))),a), a -> c, b -> h(c,h(a,c)) ] Make it flat: [ h(!cl_13,!cl_14) -> c, !cl_14 -> !cl_14, f(!cl_5) -> !cl_14, !cl_12 -> !cl_12, h(!cl_4,!cl_11) -> !cl_12, !cl_10 -> !cl_10, f(!cl_6) -> !cl_10, !cl_8 -> !cl_8, h(!cl_5,!cl_7) -> !cl_8, !cl_6 -> !cl_6, f(a) -> !cl_6, !cl_4 -> !cl_4, h(c,!cl_3) -> !cl_4, !cl_2 -> !cl_2, f(!cl_1) -> !cl_2, !cl_0 -> !cl_0, f(c) -> !cl_0, b -> h(c,!cr_18), !cr_18 -> h(a,c), a -> c, c -> h(!cr_17,a), !cr_17 -> h(c,!cr_16), !cr_16 -> h(a,!cr_15), !cr_15 -> f(!cr_14), !cr_14 -> h(c,c), c -> h(!cr_5,!cr_13), !cr_13 -> h(c,!cr_12), !cr_12 -> h(!cr_11,c), !cr_11 -> f(!cr_10), !cr_10 -> h(b,!cr_9), !cr_9 -> h(a,!cr_8), !cr_8 -> h(!cr_7,b), !cr_7 -> h(!cr_6,a), !cr_6 -> h(c,c), !cr_5 -> f(!cr_4), !cr_4 -> h(!cr_2,!cr_3), !cr_3 -> f(a), !cr_2 -> f(!cr_1), !cr_1 -> h(b,!cr_0), !cr_0 -> h(c,b), h(!cl_0,c) -> !cl_1, !cl_1 -> !cl_1, h(a,!cl_2) -> !cl_3, !cl_3 -> !cl_3, h(a,c) -> !cl_5, !cl_5 -> !cl_5, h(!cl_6,b) -> !cl_7, !cl_7 -> !cl_7, h(!cl_8,b) -> !cl_9, !cl_9 -> !cl_9, h(!cl_9,!cl_10) -> !cl_11, !cl_11 -> !cl_11, h(b,!cl_12) -> !cl_13, !cl_13 -> !cl_13 ] Time: 0.010 [s] Make it Complete (R^): [ a = h(!cl_13,!cl_14), h(!cl_13,!cr_15) = c, h(!cl_13,!cl_14) = h(!cr_5,!cr_13), h(!cl_13,!cl_14) = h(!cr_17,a), h(!cr_17,a) = h(!cl_13,!cr_15), h(!cl_13,!cr_15) = h(!cr_5,!cr_13), h(!cl_13,!cr_15) = a, h(!cl_13,!cr_15) = h(!cl_13,!cl_14), h(!cl_13,!cr_15) = h(!cr_17,c), h(!cl_13,!cl_14) = h(!cr_17,c), h(!cl_13,!cl_14) = c, f(!cr_14) = !cl_14, f(!cr_6) = !cl_14, f(!cr_18) = !cl_14, h(a,!cl_14) = !cr_16, h(c,!cl_14) = !cr_16, h(a,!cl_14) = h(c,!cr_15), h(c,!cr_15) = h(c,!cl_14), h(a,!cl_14) = h(c,!cl_14), h(a,!cl_14) = h(a,!cr_15), h(c,!cl_14) = h(a,!cr_15), !cl_14 = !cr_15, f(!cl_5) = !cl_14, h(!cl_4,!cl_11) = !cl_12, f(!cl_0) = !cl_10, f(!cl_0) = f(!cr_3), f(!cl_0) = f(!cl_6), f(!cr_3) = f(!cl_6), f(!cr_3) = !cl_10, f(!cl_6) = !cl_10, h(!cr_14,!cl_7) = !cl_8, h(!cr_6,!cl_7) = !cl_8, h(!cr_14,!cl_7) = h(!cr_18,!cl_7), h(!cr_6,!cl_7) = h(!cr_18,!cl_7), h(!cr_6,!cl_7) = h(!cl_5,!cl_7), h(!cr_6,!cl_7) = h(!cr_14,!cl_7), h(!cr_14,!cl_7) = h(!cl_5,!cl_7), h(!cr_18,!cl_7) = h(!cl_5,!cl_7), h(!cr_18,!cl_7) = !cl_8, h(!cl_5,!cl_7) = !cl_8, f(c) = !cl_6, !cl_6 = !cr_3, h(!cl_6,c) = !cl_1, h(!cl_6,a) = !cl_1, h(!cl_6,c) = h(!cl_0,a), h(!cl_6,a) = h(!cl_0,c), h(!cl_6,c) = h(!cr_3,a), h(!cl_0,c) = h(!cl_6,c), h(!cl_6,c) = h(!cl_6,a), h(!cl_6,c) = h(!cr_3,c), h(!cl_6,a) = h(!cr_3,a), h(!cl_6,a) = h(!cl_0,a), h(!cl_6,a) = h(!cr_3,c), h(!cr_2,!cl_6) = !cr_4, h(!cr_2,!cl_0) = h(!cr_2,!cl_6), h(!cr_2,!cl_6) = h(!cr_2,!cr_3), h(!cr_3,b) = !cl_7, h(!cl_0,b) = h(!cr_3,b), h(!cr_3,b) = h(!cl_6,b), h(!cl_0,b) = h(!cl_6,b), h(!cl_0,b) = !cl_7, !cl_6 = !cl_0, f(a) = !cl_6, h(a,!cl_3) = h(c,!cl_3), h(a,!cl_3) = !cl_4, h(c,!cl_3) = !cl_4, f(!cl_1) = !cl_2, f(a) = !cl_0, h(!cr_2,!cl_0) = h(!cr_2,!cr_3), h(!cr_2,!cl_0) = !cr_4, h(!cr_3,c) = !cl_1, h(!cr_3,a) = !cl_1, h(!cr_3,c) = h(!cl_0,a), h(!cl_0,a) = h(!cr_3,a), h(!cr_3,c) = h(!cr_3,a), h(!cr_3,c) = h(!cl_0,c), h(!cr_3,a) = h(!cl_0,c), !cl_0 = !cr_3, f(c) = !cl_0, h(a,!cr_18) = b, h(c,!cr_6) = b, h(c,!cr_14) = b, h(a,!cl_5) = b, h(a,!cr_18) = h(c,!cl_5), h(c,!cr_6) = h(c,!cl_5), h(c,!cr_14) = h(c,!cl_5), h(a,!cl_5) = h(c,!cr_18), h(c,!cr_14) = h(c,!cr_18), h(a,!cr_18) = h(c,!cr_6), h(c,!cr_14) = h(c,!cr_6), h(a,!cr_18) = h(a,!cr_6), h(c,!cr_6) = h(a,!cr_6), h(c,!cr_14) = h(a,!cr_6), h(c,!cl_5) = h(a,!cr_6), h(a,!cr_14) = h(c,!cr_18), h(a,!cr_18) = h(c,!cr_18), h(a,!cr_14) = h(c,!cl_5), h(c,!cr_6) = h(a,!cr_14), h(a,!cl_5) = h(a,!cr_14), h(a,!cr_18) = h(a,!cr_14), h(a,!cr_14) = h(c,!cr_14), h(a,!cr_18) = h(c,!cr_14), h(c,!cr_14) = h(a,!cl_5), h(c,!cl_5) = h(a,!cl_5), h(c,!cr_6) = h(a,!cl_5), h(a,!cr_18) = h(a,!cl_5), h(a,!cl_5) = h(a,!cr_6), h(a,!cr_14) = h(a,!cr_6), h(a,!cr_14) = b, h(a,!cr_6) = b, h(a,!cr_6) = h(c,!cr_18), h(c,!cr_6) = h(c,!cr_18), h(c,!cl_5) = h(c,!cr_18), h(c,!cl_5) = b, b = h(c,!cr_18), h(a,a) = !cr_18, h(c,c) = !cr_18, !cr_18 = !cl_5, !cr_18 = h(c,a), !cr_18 = !cr_14, h(!cr_18,a) = !cr_7, h(!cr_18,a) = h(!cr_14,a), f(!cr_18) = !cr_15, f(!cr_18) = f(!cr_14), h(!cr_18,a) = h(!cr_14,c), h(!cr_18,a) = h(!cr_6,c), h(!cr_18,c) = h(!cr_6,a), h(!cr_18,c) = h(!cr_14,c), h(!cr_18,c) = h(!cr_14,a), h(!cr_18,c) = !cr_7, h(!cr_18,c) = h(!cl_5,a), h(!cr_6,c) = h(!cr_18,c), h(!cr_18,c) = h(!cr_18,a), h(!cr_18,c) = h(!cl_5,c), h(!cr_18,a) = h(!cl_5,c), f(!cr_6) = f(!cr_18), f(!cr_18) = f(!cl_5), h(!cr_6,a) = h(!cr_18,a), h(!cr_18,a) = h(!cl_5,a), !cr_18 = !cr_6, !cr_18 = h(a,c), h(a,a) = !cl_5, h(!cl_0,a) = h(!cl_0,c), h(!cl_0,a) = !cl_1, h(a,b) = h(c,b), h(a,b) = !cr_0, h(c,a) = !cr_6, h(a,c) = !cr_6, h(!cr_11,a) = h(!cr_11,c), h(!cr_11,a) = !cr_12, h(a,!cr_12) = h(c,!cr_12), h(a,!cr_12) = !cr_13, a = h(!cr_5,!cr_13), h(c,a) = !cr_14, h(a,c) = !cr_14, h(a,!cr_16) = h(c,!cr_16), h(a,!cr_16) = !cr_17, a = h(!cr_17,a), h(c,a) = !cl_5, h(a,a) = !cr_6, h(a,a) = !cr_14, h(a,a) = h(c,c), h(a,a) = h(c,a), h(c,c) = h(c,a), h(a,a) = h(a,c), h(c,a) = h(a,c), h(c,c) = h(a,c), !cl_5 = !cr_6, h(!cl_5,a) = !cr_7, h(!cl_5,a) = h(!cr_6,a), f(!cl_5) = !cr_15, f(!cr_14) = f(!cl_5), f(!cl_5) = f(!cr_6), h(!cl_5,c) = h(!cr_6,a), h(!cl_5,c) = h(!cr_6,c), h(!cl_5,c) = h(!cr_14,a), h(!cl_5,c) = h(!cl_5,a), h(!cl_5,a) = h(!cr_14,c), h(!cl_5,a) = h(!cr_14,a), h(!cl_5,a) = h(!cr_6,c), h(!cl_5,c) = h(!cr_14,c), h(!cl_5,c) = !cr_7, !cl_5 = !cr_14, h(c,c) = !cl_5, h(c,!cl_2) = h(a,!cl_2), h(c,!cl_2) = !cl_3, f(c) = f(a), f(c) = !cr_3, h(!cr_6,c) = !cr_7, h(c,!cr_8) = h(a,!cr_8), h(c,!cr_8) = !cr_9, h(!cr_14,c) = !cr_7, h(!cr_6,c) = h(!cr_14,a), h(!cr_14,a) = h(!cr_14,c), h(!cr_6,c) = h(!cr_14,c), h(!cr_6,c) = h(!cr_6,a), h(!cr_14,c) = h(!cr_6,a), h(c,!cr_15) = h(a,!cr_15), h(c,!cr_15) = !cr_16, a = h(!cr_17,c), h(!cr_17,c) = c, h(!cr_17,c) = h(!cr_17,a), h(!cr_17,c) = h(!cr_5,!cr_13), a = c, h(!cr_17,a) = h(!cr_5,!cr_13), c = h(!cr_17,a), !cr_17 = h(c,!cr_16), !cr_16 = h(a,!cr_15), f(!cr_6) = f(!cr_14), f(!cr_6) = !cr_15, !cr_15 = f(!cr_14), h(!cr_14,a) = h(!cr_6,a), h(!cr_14,a) = !cr_7, !cr_14 = !cr_6, !cr_14 = h(c,c), c = h(!cr_5,!cr_13), !cr_13 = h(c,!cr_12), !cr_12 = h(!cr_11,c), !cr_11 = f(!cr_10), !cr_10 = h(b,!cr_9), !cr_9 = h(a,!cr_8), !cr_8 = h(!cr_7,b), !cr_7 = h(!cr_6,a), !cr_6 = h(c,c), !cr_5 = f(!cr_4), !cr_4 = h(!cr_2,!cr_3), !cr_3 = f(a), !cr_2 = f(!cr_1), !cr_1 = h(b,!cr_0), !cr_0 = h(c,b), h(!cl_0,c) = !cl_1, h(a,!cl_2) = !cl_3, h(a,c) = !cl_5, h(!cl_6,b) = !cl_7, h(!cl_8,b) = !cl_9, h(!cl_9,!cl_10) = !cl_11, h(b,!cl_12) = !cl_13 ] Time: 0.389 [s] CPNF: [ ] Time: 0.001 [s] Now checking all the pairs in CW... Time to check pairs: 0.001 [s] The TRS has Uniqueness of Normal Forms. Total Time: 0.421 [s] problems/699.trs: Success(UNC) real 0.44 user 0.43 sys 0.01