NO
af/ONE-SORTED/666.trs
Input rules:
   [ b -> b,
     a -> h(f(c),h(a,f(c))),
     f(f(h(a,h(b,b)))) -> a,
     h(c,c) -> b,
     b -> h(f(b),b) ]
Sorts having no ground terms: 
Rules applicable to ground terms:
   [ b -> b,
     a -> h(f(c),h(a,f(c))),
     f(f(h(a,h(b,b)))) -> a,
     h(c,c) -> b,
     b -> h(f(b),b) ]
Constructor pattern: [h(?x_1,?x_2),f(?x_1),c]
Defined pattern: [a,b]
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: [h(?x_1,?x_2),f(?x_1),c,a]
Defined pattern: [b]
Constructor subsystem:
   [ a -> h(f(c),h(a,f(c))) ]
Modified Constructor subsystem:
   [ a -> h(f(c),h(a,f(c))) ]
No orientable rules for b. 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),c,a,b]
Defined pattern: []
Constructor subsystem:
   [ b -> b,
     a -> h(f(c),h(a,f(c))),
     f(f(h(a,h(b,b)))) -> a,
     h(c,c) -> b,
     b -> h(f(b),b) ]
b -> b
{}
   [  ]
Modified Constructor subsystem:
   [ a -> h(f(c),h(a,f(c))),
     f(f(h(a,h(b,b)))) -> a,
     h(c,c) -> b,
     b -> h(f(b),b) ]
Find a quasi-ordering ...
order successfully found
Precedence:
 c : Mul,  b : Mul;
 f : Mul;
 h : Mul;
 a : Mul;
Rules:
   [ f(f(h(a,h(b,b)))) -> a,
     h(c,c) -> b ]
Check confluence of constructor subsystem...
Check Termination...
Terminating, WCR: CR
Conjectures:
   [ a = h(f(c),h(a,f(c))),
     b = h(f(b),b) ]
STEP 0
ES:
   [ a = h(f(c),h(a,f(c))),
     b = h(f(b),b) ]
HS:
   [ ]
ES0:
   [ a = h(f(c),h(a,f(c))),
     b = h(f(b),b) ]
HS0:
   [ ]
ES1:
   [ a = h(f(c),h(a,f(c))),
     b = h(f(b),b) ]
HS1:
   [ ]
No equation to expand
check Non-Ground-Confluence...
ground constructor terms for instantiation: {c,h(c,c),f(c)}
ground terms for instantiation: {c:o,h(c,c):o,f(c):o}
obtain 10 rules by 3 steps unfolding
obtain 100 candidates for checking non-joinability
check by TCAP-Approximation (success)
Witness for Non-Confluence: <f(f(h(h(f(c),h(a,f(c))),h(b,b)))) <- f(f(h(a,h(b,b)))) -> h(f(c),h(a,f(c)))>
: Success(not GCR)
(14 msec.)
0.03