YES
(ignored inputs)COMMENT doi:10.23638/LMCS-13 ( 2:4 ) 2017 [131] Example 5.2 submitted by: Julian Nagele
Input:
   [ a -> b,
     a -> d,
     b -> a,
     c -> a,
     c -> b ]

Make it flat:
   [ a -> b,
     a -> d,
     b -> a,
     c -> a,
     c -> b ]
Time: 0.000 [s]

Make it Complete (R^):
   [ a = b,
     d = b,
     d = c,
     a = d,
     c = a,
     c = b ]
Time: 0.001 [s]

The number of normal forms that must be checked: 1
Time: 0.000 [s]

Now checking all the pairs...

Time to check pairs: 0.000 [s]

The TRS has Uniqueness of Normal Forms.
Total Time: 0.001 [s]

problems/761.trs: Success(UNC)
real 0.04
user 0.01
sys 0.00