NO
af/ONE-SORTED/702.trs
Input rules:
   [ h(b,a) -> a,
     a -> c,
     h(c,c) -> a,
     f(b) -> c ]
Sorts having no ground terms: 
Rules applicable to ground terms:
   [ h(b,a) -> a,
     a -> c,
     h(c,c) -> a,
     f(b) -> c ]
Constructor pattern: [h(?x_1,?x_2),b,c,f(?x_1)]
Defined pattern: [a]
Constructor subsystem:
   [ f(b) -> c ]
Modified Constructor subsystem:
   [ f(b) -> c ]
candidate for a:
   [ a -> c ]
Find a quasi-ordering ...
order successfully found
Precedence:
 b : Mul;
 h : Mul;
 f : Mul;
 a : Mul;
 c : Mul;
Rules:
   [ a -> c,
     f(b) -> c ]
Check confluence of constructor subsystem...
Check Termination...
Terminating, WCR: CR
Conjectures:
   [ h(b,a) = a,
     h(c,c) = a ]
STEP 0
ES:
   [ h(b,a) = a,
     h(c,c) = a ]
HS:
   [ ]
ES0:
   [ h(b,c) = c,
     h(c,c) = c ]
HS0:
   [ ]
ES1:
   [ h(b,c) = c,
     h(c,c) = c ]
HS1:
   [ ]
No equation to expand
check Non-Ground-Confluence...
ground constructor terms for instantiation: {b,c,h(b,b),h(b,c),h(c,b),h(c,c),f(b),f(c)}
ground terms for instantiation: {b:o,c:o,h(b,b):o,h(b,c):o,h(c,b):o,h(c,c):o,f(b):o,f(c):o}
obtain 11 rules by 3 steps unfolding
obtain 10 candidates for checking non-joinability
check by TCAP-Approximation (success)
Witness for Non-Confluence: <h(b,c) <- h(b,a) -> c>
: Success(not GCR)
(4 msec.)
0.02