NO
af/ONE-SORTED/715.trs
Input rules:
   [ c -> c,
     b -> f(c),
     h(b,h(a,f(h(a,f(f(f(b))))))) -> h(a,f(a)),
     b -> h(b,a),
     h(f(b),c) -> f(c) ]
Sorts having no ground terms: 
Rules applicable to ground terms:
   [ c -> c,
     b -> f(c),
     h(b,h(a,f(h(a,f(f(f(b))))))) -> h(a,f(a)),
     b -> h(b,a),
     h(f(b),c) -> f(c) ]
Constructor pattern: [f(?x_1),h(?x_1,?x_2),a]
Defined pattern: [b,c]
Constructor subsystem:
   [ ]
Modified Constructor subsystem:
   [ ]
candidate for b:
   [ b -> f(c) ]
No orientable rules for c. 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),a,c]
Defined pattern: [b]
Constructor subsystem:
   [ c -> c ]
c -> c
{}
   [  ]
Modified Constructor subsystem:
   [ ]
candidate for b:
   [ b -> f(c) ]
Find a quasi-ordering ...
order successfully found
Precedence:
 b : Mul;
 h : Mul;
 c : Mul;
 f : Mul;
 a : Mul;
Rules:
   [ b -> f(c) ]
Conjectures:
   [ h(b,h(a,f(h(a,f(f(f(b))))))) = h(a,f(a)),
     h(f(b),c) = f(c),
     b = h(b,a) ]
STEP 0
ES:
   [ h(b,h(a,f(h(a,f(f(f(b))))))) = h(a,f(a)),
     h(f(b),c) = f(c),
     b = h(b,a) ]
HS:
   [ ]
ES0:
   [ h(f(c),h(a,f(h(a,f(f(f(f(c)))))))) = h(a,f(a)),
     h(f(f(c)),c) = f(c),
     f(c) = h(f(c),a) ]
HS0:
   [ ]
ES1:
   [ h(f(c),h(a,f(h(a,f(f(f(f(c)))))))) = h(a,f(a)),
     h(f(f(c)),c) = f(c),
     f(c) = h(f(c),a) ]
HS1:
   [ ]
No equation to expand
check Non-Ground-Confluence...
ground constructor terms for instantiation: {a,f(a),h(a,a)}
ground terms for instantiation: {a:o,f(a):o,h(a,a):o}
obtain 11 rules by 3 steps unfolding
obtain 100 candidates for checking non-joinability
check by TCAP-Approximation (success)
Witness for Non-Confluence: <h(b,a) <- b -> f(c)>
: Success(not GCR)
(9 msec.)
0.02