YES
(ignored inputs)COMMENT doi:10.1007/BFb0017487 [19] Example 4.4 submitted by: Takahito Aoto , Junichi Yoshida , and Yoshihito Toyama
Input:
   [ F(?x,?y) -> c(A),
     G(?x) -> ?x,
     h(?x) -> c(?x) ]

Make it flat:
   [ F(?x,?y) -> c(A),
     G(?x) -> ?x,
     h(?x) -> c(?x) ]
Time: 0.000 [s]

Make it Complete (R^):
   [ h(A) = c(A),
     F(?x,?y) = h(A),
     F(?x,?y) = F(?x_1,?y_1),
     F(?x,?y) = c(A),
     G(?x) = ?x,
     h(?x) = c(?x) ]
Time: 0.002 [s]

CPNF:
   [ A … A ]
Time: 0.000 [s]

Now checking all the pairs in CW...

Time to check pairs: 0.000 [s]

The TRS has Uniqueness of Normal Forms.
Total Time: 0.002 [s]

problems/69.trs: Success(UNC)
real 0.03
user 0.00
sys 0.02