YES
af/ONE-SORTED/662.trs
Input rules:
   [ f(b) -> c,
     c -> c,
     f(c) -> b,
     a -> b ]
Sorts having no ground terms: 
Rules applicable to ground terms:
   [ f(b) -> c,
     c -> c,
     f(c) -> b,
     a -> b ]
Constructor pattern: [b]
Defined pattern: [a,c,f(?x_1)]
Constructor subsystem:
   [ ]
Modified Constructor subsystem:
   [ ]
candidate for a:
   [ a -> b ]
No orientable rules for c. Add rules, and retry...
failed to construct defining rules
Retry with a different D/C-partition.
Constructor pattern: [b,c]
Defined pattern: [a,f(?x_1)]
Constructor subsystem:
   [ c -> c ]
c -> c
{}
   [  ]
Modified Constructor subsystem:
   [ ]
candidate for a:
   [ a -> b ]
candidate for f(?x_1):
   [ f(b) -> c,
     f(c) -> b ]
Find a quasi-ordering ...
order successfully found
Precedence:
 a : Mul;
 f : Mul;
 b : Mul;
 c : Mul;
Rules:
   [ a -> b,
     f(b) -> c,
     f(c) -> b ]
Conjectures:
   [ ]
STEP 0
ES:
   [ ]
HS:
   [ ]
ES0:
   [ ]
HS0:
   [ ]
ES1:
   [ ]
HS1:
   [ ]
: Success(GCR)
(3 msec.)
0.02