YES (ignored inputs)COMMENT Cops #647 - #721: generated ground TRSs; evenly distributed in the UNR/UNC/NFP/CR hierarchy submitted by: Bertram Felgenhauer Input: [ f(c) -> a, f(a) -> c, c -> f(h(a,h(f(c),c))), h(f(c),f(b)) -> f(h(a,c)) ] Make it flat: [ h(!cl_0,!cl_1) -> f(!cr_3), f(b) -> !cl_1, f(c) -> !cl_0, !cl_0 -> !cl_0, !cl_0 -> a, f(a) -> c, !cr_0 -> f(c), !cr_1 -> h(!cr_0,c), !cr_2 -> h(a,!cr_1), c -> f(!cr_2), !cr_3 -> h(a,c) ] Time: 0.000 [s] Make it Complete (R^): [ f(!cr_1) = h(!cl_0,!cl_1), h(a,!cl_1) = f(!cr_3), h(a,!cl_1) = f(!cr_1), f(!cr_1) = f(!cr_3), f(!cr_1) = h(!cr_0,!cl_1), h(a,!cl_1) = h(!cr_0,!cl_1), h(a,!cl_1) = h(!cl_0,!cl_1), h(!cr_0,!cl_1) = h(!cl_0,!cl_1), h(!cr_0,!cl_1) = f(!cr_3), h(!cl_0,!cl_1) = f(!cr_3), f(b) = !cl_1, a = f(c), h(!cl_0,c) = !cr_1, !cr_0 = a, f(!cr_0) = f(!cr_2), f(!cr_0) = f(a), f(!cr_0) = f(!cl_0), f(!cr_0) = c, h(!cr_0,!cr_1) = !cr_2, h(!cr_0,!cr_1) = h(a,!cr_1), h(!cr_0,c) = !cr_3, h(!cl_0,c) = h(!cr_0,c), h(a,!cr_3) = !cr_2, h(!cl_0,!cr_3) = !cr_2, h(a,!cr_3) = h(!cl_0,!cr_1), h(!cl_0,!cr_1) = h(!cl_0,!cr_3), h(a,!cr_3) = h(!cl_0,!cr_3), h(a,!cr_3) = h(a,!cr_1), h(!cl_0,!cr_1) = h(!cr_0,!cr_3), h(a,!cr_3) = h(!cr_0,!cr_3), h(!cr_0,!cr_3) = !cr_2, h(a,!cr_3) = h(!cr_0,!cr_1), h(!cr_0,!cr_3) = h(!cr_0,!cr_1), h(!cl_0,!cr_1) = h(!cr_0,!cr_1), h(!cr_0,!cr_1) = h(!cl_0,!cr_3), h(!cr_0,!cr_3) = h(!cl_0,!cr_3), h(!cr_0,!cr_3) = h(a,!cr_1), h(!cl_0,!cr_3) = h(a,!cr_1), !cr_1 = !cr_3, h(a,c) = !cr_1, h(!cr_0,c) = h(a,c), !cl_0 = !cr_0, f(c) = !cl_0, h(!cl_0,c) = h(a,c), h(!cl_0,c) = !cr_3, h(!cl_0,!cr_1) = h(a,!cr_1), h(!cl_0,!cr_1) = !cr_2, f(!cl_0) = c, f(!cl_0) = f(a), f(!cl_0) = f(!cr_2), !cl_0 = a, f(a) = f(!cr_2), f(a) = c, !cr_0 = f(c), !cr_1 = h(!cr_0,c), !cr_2 = h(a,!cr_1), c = f(!cr_2), !cr_3 = h(a,c) ] Time: 0.023 [s] CPNF: [ b … b, !cl_1 … !cl_1, !cl_0 … a ] 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: 0.025 [s] problems/663.trs: Success(UNC) real 0.04 user 0.03 sys 0.00