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

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

Make it Complete (R^):
   [ h(b,!cl_0) = b,
     h(a,a) = a,
     h(c,c) = a,
     c = h(c,a),
     h(c,a) = h(c,!cr_1),
     h(a,a) = h(a,!cr_1),
     h(c,!cr_1) = h(c,c),
     h(a,c) = h(a,!cr_1),
     h(c,c) = c,
     h(a,a) = h(c,c),
     h(a,a) = h(a,c),
     h(c,c) = h(a,c),
     h(a,a) = h(c,a),
     c = h(a,c),
     h(a,a) = c,
     h(a,a) = h(c,!cr_1),
     h(a,c) = h(c,!cr_1),
     h(a,c) = a,
     h(a,c) = h(c,a),
     h(c,c) = h(c,a),
     h(c,c) = h(a,!cr_1),
     h(c,a) = h(a,!cr_1),
     a = h(c,a),
     a = h(a,!cr_1),
     f(a) = f(c),
     f(a) = !cl_0,
     h(b,c) = h(b,a),
     h(b,c) = !cr_0,
     h(!cr_0,c) = h(!cr_0,a),
     h(!cr_0,c) = !cr_1,
     a = h(c,!cr_1),
     h(c,!cr_1) = h(a,!cr_1),
     h(c,!cr_1) = c,
     a = c,
     f(c) = !cl_0,
     c = h(a,!cr_1),
     !cr_1 = h(!cr_0,a),
     !cr_0 = h(b,a) ]
Time: 0.013 [s]

CPNF:
   [ b … b ]
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: 0.014 [s]

problems/668.trs: Success(UNC)
real 0.03
user 0.02
sys 0.00