NO
af/ONE-SORTED/688.trs
Input rules:
   [ c -> h(c,c),
     f(c) -> c,
     f(b) -> b,
     a -> b,
     a -> h(h(a,a),h(c,b)) ]
Sorts having no ground terms: 
Rules applicable to ground terms:
   [ c -> h(c,c),
     f(c) -> c,
     f(b) -> b,
     a -> b,
     a -> h(h(a,a),h(c,b)) ]
Constructor pattern: [h(?x_1,?x_2),f(?x_1),b]
Defined pattern: [a,c]
Constructor subsystem:
   [ f(b) -> b ]
Modified Constructor subsystem:
   [ f(b) -> b ]
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: [h(?x_1,?x_2),f(?x_1),b,c]
Defined pattern: [a]
Constructor subsystem:
   [ c -> h(c,c),
     f(c) -> c,
     f(b) -> b ]
Modified Constructor subsystem:
   [ c -> h(c,c),
     f(c) -> c,
     f(b) -> b ]
candidate for a:
   [ a -> b ]
Find a quasi-ordering ...
order successfully found
Precedence:
 f : Mul;
 a : Mul;
 c : Mul,  b : Mul;
 h : Mul;
Rules:
   [ a -> b,
     f(c) -> c,
     f(b) -> b ]
Check confluence of constructor subsystem...
Check Termination...
Terminating, WCR: CR
Conjectures:
   [ a = h(h(a,a),h(c,b)),
     c = h(c,c) ]
STEP 0
ES:
   [ a = h(h(a,a),h(c,b)),
     c = h(c,c) ]
HS:
   [ ]
ES0:
   [ b = h(h(b,b),h(c,b)),
     c = h(c,c) ]
HS0:
   [ ]
ES1:
   [ b = h(h(b,b),h(c,b)),
     c = h(c,c) ]
HS1:
   [ ]
: Success(not GCR)
(3 msec.)
0.02