NO
af/ONE-SORTED/661.trs
Input rules:
   [ b -> f(h(f(f(b)),c)),
     h(h(c,c),b) -> c,
     h(f(a),b) -> b ]
Sorts having no ground terms: 
Rules applicable to ground terms:
   [ b -> f(h(f(f(b)),c)),
     h(h(c,c),b) -> c,
     h(f(a),b) -> b ]
Constructor pattern: [f(?x_1),h(?x_1,?x_2),c,a]
Defined pattern: [b]
Constructor subsystem:
   [ ]
Modified Constructor subsystem:
   [ ]
No orientable rules for b. 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),c,a,b]
Defined pattern: []
Constructor subsystem:
   [ b -> f(h(f(f(b)),c)),
     h(h(c,c),b) -> c,
     h(f(a),b) -> b ]
Modified Constructor subsystem:
   [ b -> f(h(f(f(b)),c)),
     h(h(c,c),b) -> c,
     h(f(a),b) -> b ]
Find a quasi-ordering ...
order successfully found
Precedence:
 a : Mul;
 h : Mul;
 f : Mul;
 c : Mul,  b : Mul;
Rules:
   [ h(h(c,c),b) -> c,
     h(f(a),b) -> b ]
Check confluence of constructor subsystem...
Check Termination...
Terminating, WCR: CR
Conjectures:
   [ b = f(h(f(f(b)),c)) ]
STEP 0
ES:
   [ b = f(h(f(f(b)),c)) ]
HS:
   [ ]
ES0:
   [ b = f(h(f(f(b)),c)) ]
HS0:
   [ ]
ES1:
   [ b = f(h(f(f(b)),c)) ]
HS1:
   [ ]
No equation to expand
check Non-Ground-Confluence...
ground constructor terms for instantiation: {c,a,f(c),f(a),h(c,c),h(c,a),h(a,c),h(a,a)}
ground terms for instantiation: {c:o,a:o,f(c):o,f(a):o,h(c,c):o,h(c,a):o,h(a,c):o,h(a,a):o}
obtain 10 rules by 3 steps unfolding
obtain 59 candidates for checking non-joinability
check by TCAP-Approximation (success)
Witness for Non-Confluence: <h(h(c,c),f(h(f(f(b)),c))) <- h(h(c,c),h(f(a),b)) -> c>
: Success(not GCR)
(6 msec.)
0.02