NO
(ignored inputs)COMMENT Cops #647 - #721: generated ground TRSs; evenly distributed in the UNR/UNC/NFP/CR hierarchy submitted by: Bertram Felgenhauer
Input:
   [ c -> f(h(b,b)),
     c -> b,
     b -> b,
     c -> a ]

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

Make it Complete (R^):
   [ h(b,c) = !cr_0,
     h(c,b) = !cr_0,
     h(b,a) = !cr_0,
     h(a,c) = !cr_0,
     h(a,a) = !cr_0,
     h(b,c) = h(a,b),
     h(c,b) = h(a,b),
     h(b,a) = h(a,b),
     h(c,b) = h(b,b),
     h(a,c) = h(b,b),
     h(b,c) = h(a,a),
     h(c,b) = h(a,a),
     h(b,a) = h(a,a),
     h(a,b) = h(a,a),
     h(c,a) = h(b,b),
     h(b,c) = h(b,a),
     h(c,b) = h(b,a),
     h(c,b) = h(b,c),
     h(b,c) = h(c,c),
     h(c,b) = h(c,c),
     h(b,a) = h(c,c),
     h(a,b) = h(c,c),
     h(c,c) = !cr_0,
     h(a,c) = h(c,c),
     h(c,a) = h(c,c),
     h(c,a) = h(a,a),
     h(c,a) = !cr_0,
     h(a,b) = h(c,a),
     h(b,c) = h(c,a),
     h(c,a) = h(b,a),
     h(c,a) = h(c,b),
     h(c,a) = h(a,c),
     h(c,b) = h(a,c),
     h(a,b) = h(a,c),
     h(b,c) = h(a,c),
     h(b,a) = h(a,c),
     h(a,c) = h(a,a),
     h(c,c) = h(a,a),
     h(c,c) = h(b,b),
     h(b,c) = h(b,b),
     h(b,a) = h(b,b),
     h(a,a) = h(b,b),
     h(a,b) = h(b,b),
     h(a,b) = !cr_0,
     !cr_0 = h(b,b),
     a = f(!cr_0),
     b = f(!cr_0),
     c = f(!cr_0),
     b = a,
     c = b,
     c = a ]
Time: 0.044 [s]

CPNF:
   [ a … f(h(a,a)),
     !cr_0 … h(a,a),
     a … a ]
Time: 0.000 [s]

The TRS doesn't have Uniqueness of Normal Forms.
Counter Example: 
     f(h(a,a))
<->* a

proof:
     f(h(a,a))
->R^ f(!cr_0)
->R^ c
->R^ a

     a
Total Time: 0.045 [s]

problems/698.trs: Success(not UNC)
real 0.06
user 0.05
sys 0.00