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

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

Make it Complete (R^):
   [ h(!cl_0,!cl_0) = c,
     h(b,b) = c,
     h(b,a) = c,
     h(a,!cl_0) = c,
     h(!cl_0,!cl_0) = h(c,c),
     h(b,b) = h(c,c),
     h(b,a) = h(c,c),
     h(a,b) = h(c,c),
     h(a,a) = h(c,c),
     h(!cl_0,!cl_0) = h(a,!cl_0),
     h(b,b) = h(a,!cl_0),
     h(b,a) = h(a,!cl_0),
     h(a,b) = h(b,!cl_0),
     h(a,a) = h(b,!cl_0),
     h(b,b) = h(!cl_0,!cl_0),
     h(b,a) = h(!cl_0,!cl_0),
     h(!cl_0,b) = h(b,!cl_0),
     h(!cl_0,!cl_0) = h(!cl_0,a),
     h(b,b) = h(!cl_0,a),
     h(b,a) = h(!cl_0,a),
     h(a,!cl_0) = h(!cl_0,a),
     h(b,a) = h(b,!cl_0),
     h(!cl_0,a) = c,
     h(a,b) = c,
     c = h(a,a),
     h(!cl_0,b) = c,
     h(!cl_0,b) = h(a,!cl_0),
     h(b,a) = h(!cl_0,b),
     h(a,a) = h(!cl_0,b),
     h(!cl_0,!cl_0) = h(!cl_0,b),
     h(b,a) = h(a,b),
     h(a,a) = h(a,b),
     h(!cl_0,!cl_0) = h(a,b),
     h(!cl_0,b) = h(a,b),
     h(!cl_0,b) = h(b,b),
     h(a,b) = h(b,b),
     h(b,!cl_0) = h(b,b),
     h(b,a) = h(b,b),
     h(b,b) = h(a,a),
     h(b,a) = h(a,a),
     h(a,b) = h(a,!cl_0),
     h(a,!cl_0) = h(a,a),
     h(!cl_0,!cl_0) = h(a,a),
     h(a,a) = h(!cl_0,a),
     h(a,b) = h(!cl_0,a),
     h(!cl_0,b) = h(!cl_0,a),
     h(!cl_0,b) = h(c,c),
     h(!cl_0,a) = h(c,c),
     h(!cl_0,a) = h(b,!cl_0),
     h(!cl_0,!cl_0) = h(b,!cl_0),
     h(a,!cl_0) = h(b,!cl_0),
     h(a,!cl_0) = h(c,c),
     h(b,!cl_0) = h(c,c),
     h(b,!cl_0) = c,
     f(!cl_0) = a,
     a = b,
     a = f(c),
     f(a) = !cl_0,
     f(a) = a,
     f(a) = f(b),
     f(a) = f(c),
     f(a) = f(!cl_0),
     f(a) = b,
     a = !cl_0,
     a = f(b),
     f(!cl_0) = b,
     f(!cl_0) = f(c),
     f(!cl_0) = f(b),
     f(!cl_0) = !cl_0,
     !cl_0 = b,
     !cl_0 = f(b),
     f(c) = !cl_0,
     h(c,c) = c,
     f(c) = f(b),
     b = f(c),
     b = f(b) ]
Time: 0.084 [s]

CPNF:
   [ !cl_0 … f(!cl_0),
     !cl_0 … !cl_0,
     c … c ]
Time: 0.000 [s]

The TRS doesn't have Uniqueness of Normal Forms.
Counter Example: 
     f(!cl_0)
<->* !cl_0

proof:
     f(!cl_0)
->R^ !cl_0

     !cl_0
Total Time: 0.085 [s]

problems/665.trs: Success(not UNC)
real 0.10
user 0.09
sys 0.00