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

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

Make it Complete (R^):
   [ h(a,a) = c,
     h(b,c) = b,
     h(b,b) = b,
     h(a,a) = b,
     h(c,a) = b,
     a = h(b,a),
     c = h(b,a),
     h(b,a) = f(c),
     h(b,a) = f(a),
     h(b,c) = f(b),
     h(b,b) = f(b),
     h(a,a) = f(b),
     f(a) = h(c,a),
     f(c) = h(c,a),
     h(c,c) = f(b),
     h(c,b) = f(b),
     h(c,a) = a,
     h(c,a) = c,
     h(b,c) = h(c,a),
     h(b,b) = h(c,a),
     h(a,a) = h(c,a),
     h(c,c) = h(b,a),
     h(a,a) = h(b,a),
     h(b,c) = h(c,b),
     h(b,b) = h(c,b),
     h(a,a) = h(c,b),
     h(c,a) = h(c,b),
     h(a,b) = h(b,a),
     h(b,b) = h(b,a),
     a = h(c,b),
     c = h(c,b),
     h(a,b) = b,
     h(c,c) = b,
     h(c,b) = f(c),
     h(a,b) = f(a),
     h(b,b) = f(a),
     f(c) = h(c,c),
     h(a,c) = f(a),
     h(b,c) = f(a),
     h(c,c) = c,
     h(c,c) = a,
     h(a,b) = h(c,c),
     h(c,a) = h(c,c),
     h(b,b) = h(c,c),
     h(a,b) = h(a,c),
     h(c,a) = h(a,c),
     h(b,b) = h(a,c),
     h(c,c) = h(a,c),
     h(a,b) = h(c,b),
     h(a,c) = h(b,a),
     a = h(a,c),
     c = h(a,c),
     h(a,c) = f(c),
     f(c) = h(a,b),
     h(a,b) = a,
     h(a,b) = c,
     h(b,b) = h(a,a),
     f(c) = h(a,a),
     h(b,b) = a,
     c = h(b,c),
     h(b,b) = c,
     h(b,b) = f(c),
     h(b,c) = f(c),
     a = h(b,c),
     h(a,a) = a,
     h(a,a) = f(a),
     h(c,c) = h(a,a),
     h(c,c) = h(b,c),
     h(a,c) = h(b,c),
     h(b,b) = h(a,b),
     h(a,b) = h(b,c),
     h(b,b) = h(b,c),
     h(b,a) = h(b,c),
     h(b,c) = h(a,a),
     h(a,c) = h(a,a),
     h(a,a) = h(a,b),
     h(a,b) = h(c,a),
     h(a,b) = f(b),
     h(a,c) = f(b),
     h(a,c) = b,
     h(a,c) = h(c,b),
     h(c,c) = h(c,b),
     h(c,c) = f(a),
     h(c,b) = f(a),
     h(c,b) = b,
     h(c,b) = h(b,a),
     h(c,a) = h(b,a),
     h(c,a) = f(b),
     h(b,a) = f(b),
     b = h(b,a),
     b = c,
     f(b) = c,
     f(b) = f(c),
     f(b) = a,
     f(b) = f(a),
     f(b) = b,
     b = f(a),
     b = f(c),
     b = a,
     a = f(c),
     a = f(a),
     f(a) = f(c),
     f(a) = c,
     f(c) = c,
     c = a ]
Time: 0.239 [s]

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

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

proof:
     f(a)
->R^ c
->R^ a

     a
Total Time: 0.241 [s]

problems/695.trs: Success(not UNC)
real 0.26
user 0.24
sys 0.02