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

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

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

CPNF:
   [ c … c,
     a … 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: 0.002 [s]

problems/647.trs: Success(UNC)
real 0.02
user 0.01
sys 0.01