NO
af/ONE-SORTED/685.trs
Input rules:
   [ c -> c,
     a -> f(h(h(f(a),f(f(c))),b)),
     c -> a,
     h(c,f(b)) -> c ]
Sorts having no ground terms: 
Rules applicable to ground terms:
   [ c -> c,
     a -> f(h(h(f(a),f(f(c))),b)),
     c -> a,
     h(c,f(b)) -> c ]
Constructor pattern: [f(?x_1),h(?x_1,?x_2),b]
Defined pattern: [a,c]
Constructor subsystem:
   [ ]
Modified Constructor subsystem:
   [ ]
No orientable rules for a. Add rules, and retry...
failed to construct defining rules
Retry with a different D/C-partition.
Constructor pattern: [f(?x_1),h(?x_1,?x_2),b,a]
Defined pattern: [c]
Constructor subsystem:
   [ ]
Modified Constructor subsystem:
   [ ]
candidate for c:
   [ c -> a ]
Find a quasi-ordering ...
order successfully found
Precedence:
 f : Mul;
 c : Mul,  b : Mul;
 a : Mul;
 h : Mul;
Rules:
   [ c -> a ]
Conjectures:
   [ h(c,f(b)) = c,
     c = c,
     a = f(h(h(f(a),f(f(c))),b)) ]
STEP 0
ES:
   [ h(c,f(b)) = c,
     c = c,
     a = f(h(h(f(a),f(f(c))),b)) ]
HS:
   [ ]
ES0:
   [ h(a,f(b)) = a,
     a = a,
     a = f(h(h(f(a),f(f(a))),b)) ]
HS0:
   [ ]
ES1:
   [ h(a,f(b)) = a,
     a = f(h(h(f(a),f(f(a))),b)) ]
HS1:
   [ ]
No equation to expand
check Non-Ground-Confluence...
ground constructor terms for instantiation: {b,f(b),h(b,b)}
ground terms for instantiation: {b:o,f(b):o,h(b,b):o}
obtain 10 rules by 3 steps unfolding
obtain 100 candidates for checking non-joinability
check by TCAP-Approximation (success)
Witness for Non-Confluence: <h(f(h(h(f(a),f(f(a))),b)),f(b)) <- h(h(c,f(b)),f(b)) -> f(h(h(f(a),f(f(a))),b))>
: Success(not GCR)
(9 msec.)
0.02