YES
(ignored inputs)COMMENT Cops #647 - #721: generated ground TRSs; evenly distributed in the UNR/UNC/NFP/CR hierarchy submitted by: Bertram Felgenhauer
Input:
   [ a -> a,
     a -> h(a,b),
     b -> h(b,f(f(b))),
     b -> b,
     h(b,h(f(a),a)) -> a ]

Make it flat:
   [ h(b,!cl_1) -> a,
     !cl_1 -> !cl_1,
     h(!cl_0,a) -> !cl_1,
     f(a) -> !cl_0,
     !cl_0 -> !cl_0,
     a -> a,
     a -> h(a,b),
     !cr_0 -> f(b),
     !cr_1 -> f(!cr_0),
     b -> h(b,!cr_1),
     b -> b ]
Time: 0.000 [s]

Make it Complete (R^):
   [ h(b,!cl_1) = h(a,b),
     h(b,!cl_1) = a,
     h(!cl_0,a) = !cl_1,
     f(a) = !cl_0,
     a = h(a,b),
     !cr_0 = f(b),
     !cr_1 = f(!cr_0),
     b = h(b,!cr_1) ]
Time: 0.001 [s]

CPNF:
   [  ]
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/672.trs: Success(UNC)
real 0.02
user 0.01
sys 0.01