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

Make it flat:
   [ h(!cl_0,!cl_6) -> f(c),
     h(!cl_4,!cl_5) -> !cl_6,
     f(!cl_3) -> b,
     f(!cl_2) -> !cl_4,
     f(a) -> !cl_2,
     h(a,a) -> !cl_0,
     f(b) -> !cl_1,
     f(!cl_1) -> !cl_3,
     h(c,b) -> !cl_5 ]
Time: 0.000 [s]

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

CPNF:
   [ !cl_6 … !cl_6,
     !cl_4 … !cl_4,
     !cl_2 … !cl_2,
     a … a,
     !cl_0 … !cl_0,
     !cl_1 … !cl_1,
     !cl_3 … !cl_3,
     b … b,
     c … c,
     !cl_5 … !cl_5 ]
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: 0.001 [s]

problems/671.trs: Success(UNC)
real 0.01
user 0.01
sys 0.00