YES
af/ONE-SORTED/656.trs
Input rules:
   [ a -> f(c),
     c -> c ]
Sorts having no ground terms: 
Rules applicable to ground terms:
   [ a -> f(c),
     c -> c ]
Constructor pattern: [f(?x_1)]
Defined pattern: [c,a]
Constructor subsystem:
   [ ]
Modified Constructor subsystem:
   [ ]
No orientable rules for c. Add rules, and retry...
failed to construct defining rules
Retry with a different D/C-partition.
Constructor pattern: [f(?x_1),c]
Defined pattern: [a]
Constructor subsystem:
   [ c -> c ]
c -> c
{}
   [  ]
Modified Constructor subsystem:
   [ ]
candidate for a:
   [ a -> f(c) ]
Find a quasi-ordering ...
order successfully found
Precedence:
 a : Mul;
 f : Mul;
 c : Mul;
Rules:
   [ a -> f(c) ]
Conjectures:
   [ ]
STEP 0
ES:
   [ ]
HS:
   [ ]
ES0:
   [ ]
HS0:
   [ ]
ES1:
   [ ]
HS1:
   [ ]
: Success(GCR)
(2 msec.)
0.01