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 -> f(f(c)),
     h(h(h(b,b),f(f(a))),f(f(f(a)))) -> a,
     b -> h(h(f(a),c),f(a)) ]

Make it flat:
   [ h(!cl_3,!cl_4) -> a,
     f(!cl_2) -> !cl_4,
     f(!cl_1) -> !cl_2,
     c -> f(!cr_0),
     !cr_0 -> f(c),
     !cl_0 -> !cl_0,
     h(b,b) -> !cl_0,
     b -> h(!cr_2,!cr_3),
     !cr_3 -> f(a),
     !cr_2 -> h(!cr_1,c),
     !cr_1 -> f(a),
     f(a) -> !cl_1,
     h(!cl_0,!cl_2) -> !cl_3,
     !cl_3 -> !cl_3 ]
Time: 0.000 [s]

Make it Complete (R^):
   [ h(!cl_3,!cl_4) = a,
     f(!cl_2) = !cl_4,
     f(!cr_1) = !cl_2,
     f(!cr_1) = f(!cr_3),
     f(!cr_1) = f(!cl_1),
     f(!cr_3) = f(!cl_1),
     f(!cr_3) = !cl_2,
     f(!cl_1) = !cl_2,
     c = f(!cr_0),
     !cr_0 = f(c),
     h(b,b) = !cl_0,
     h(!cr_2,!cr_1) = b,
     h(!cr_2,!cr_1) = h(!cr_2,!cl_1),
     h(!cr_2,!cr_1) = h(!cr_2,!cr_3),
     h(!cr_2,!cl_1) = h(!cr_2,!cr_3),
     h(!cr_2,!cl_1) = b,
     b = h(!cr_2,!cr_3),
     !cr_3 = !cl_1,
     h(!cr_3,c) = !cr_2,
     h(!cr_1,c) = h(!cr_3,c),
     h(!cr_3,c) = h(!cl_1,c),
     !cr_3 = !cr_1,
     !cr_3 = f(a),
     h(!cl_1,c) = h(!cr_1,c),
     h(!cl_1,c) = !cr_2,
     !cr_2 = h(!cr_1,c),
     !cr_1 = !cl_1,
     !cr_1 = f(a),
     f(a) = !cl_1,
     h(!cl_0,!cl_2) = !cl_3 ]
Time: 0.004 [s]

CPNF:
   [ !cl_4 … !cl_4,
     a … a,
     !cl_1 … !cl_1,
     !cl_2 … !cl_2 ]
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: 0.006 [s]

problems/676.trs: Success(UNC)
real 0.02
user 0.01
sys 0.01