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

Make it flat:
   [ h(!cl_4,!cl_7) -> f(!cr_1),
     h(!cl_6,b) -> !cl_7,
     f(b) -> !cl_5,
     f(!cl_2) -> !cl_3,
     h(c,!cl_0) -> !cl_1,
     f(c) -> b,
     h(b,c) -> !cl_0,
     !cr_0 -> f(a),
     !cr_1 -> h(b,!cr_0),
     f(!cl_1) -> !cl_2,
     f(!cl_3) -> !cl_4,
     f(!cl_5) -> !cl_6 ]
Time: 0.001 [s]

Make it Complete (R^):
   [ h(!cl_4,!cl_7) = f(!cr_1),
     h(!cl_6,b) = !cl_7,
     f(b) = !cl_5,
     f(!cl_2) = !cl_3,
     h(c,!cl_0) = !cl_1,
     f(c) = b,
     h(b,c) = !cl_0,
     !cr_0 = f(a),
     !cr_1 = h(b,!cr_0),
     f(!cl_1) = !cl_2,
     f(!cl_3) = !cl_4,
     f(!cl_5) = !cl_6 ]
Time: 0.000 [s]

CPNF:
   [ !cr_1 … h(b,f(a)),
     !cr_0 … f(a),
     !cl_7 … !cl_7,
     c … c,
     !cl_0 … !cl_0,
     a … a,
     b … b,
     !cl_1 … !cl_1,
     !cl_2 … !cl_2,
     !cl_3 … !cl_3,
     !cl_4 … !cl_4,
     !cl_5 … !cl_5,
     !cl_6 … !cl_6 ]
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: 0.002 [s]

problems/681.trs: Success(UNC)
real 0.04
user 0.01
sys 0.01