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

Make it flat:
   [ h(!cl_1,!cl_5) -> c,
     f(!cl_4) -> !cl_5,
     h(!cl_2,c) -> !cl_3,
     f(b) -> b,
     f(!cl_0) -> a,
     !cl_1 -> !cl_1,
     h(b,b) -> !cl_1,
     h(a,c) -> !cl_0,
     b -> c,
     h(c,c) -> !cl_2,
     f(!cl_3) -> !cl_4 ]
Time: 0.000 [s]

Make it Complete (R^):
   [ b = h(!cl_1,!cl_5),
     h(!cl_2,!cl_5) = c,
     h(!cl_1,!cl_5) = f(c),
     f(c) = h(!cl_2,!cl_5),
     h(!cl_2,!cl_5) = b,
     h(!cl_2,!cl_5) = h(!cl_1,!cl_5),
     h(!cl_2,!cl_5) = f(b),
     h(!cl_1,!cl_5) = f(b),
     h(!cl_1,!cl_5) = c,
     f(!cl_4) = !cl_5,
     h(!cl_2,b) = !cl_3,
     h(!cl_1,b) = !cl_3,
     h(!cl_2,b) = h(!cl_1,c),
     h(!cl_2,b) = h(!cl_1,b),
     h(!cl_1,c) = h(!cl_1,b),
     h(!cl_2,b) = h(!cl_2,c),
     h(!cl_1,b) = h(!cl_2,c),
     h(!cl_1,c) = h(!cl_2,c),
     h(!cl_1,c) = !cl_3,
     h(!cl_2,c) = !cl_3,
     c = f(b),
     c = f(c),
     f(c) = f(b),
     f(c) = b,
     f(b) = b,
     f(!cl_0) = a,
     h(b,c) = !cl_1,
     h(c,b) = !cl_1,
     !cl_1 = h(c,c),
     !cl_1 = !cl_2,
     h(b,b) = !cl_1,
     h(a,b) = h(a,c),
     h(a,b) = !cl_0,
     h(a,c) = !cl_0,
     h(c,b) = !cl_2,
     h(b,b) = !cl_2,
     h(c,b) = h(b,c),
     h(c,b) = h(b,b),
     h(b,c) = h(b,b),
     h(c,b) = h(c,c),
     h(b,b) = h(c,c),
     h(b,c) = h(c,c),
     h(b,c) = !cl_2,
     b = c,
     h(c,c) = !cl_2,
     f(!cl_3) = !cl_4 ]
Time: 0.013 [s]

CPNF:
   [ b … h(!cl_2,!cl_5),
     !cl_5 … !cl_5,
     a … a,
     !cl_0 … !cl_0,
     b … c,
     !cl_1 … !cl_2,
     !cl_3 … !cl_3,
     !cl_4 … !cl_4 ]
Time: 0.000 [s]

The TRS doesn't have Uniqueness of Normal Forms.
Counter Example: 
     h(!cl_2,!cl_5)
<->* c

proof:
     h(!cl_2,!cl_5)
->R^ h(!cl_1,!cl_5)
->R^ c
->R^ b

     c
->R^ b
Total Time: 0.015 [s]

problems/675.trs: Success(not UNC)
real 0.03
user 0.02
sys 0.01