NO
af/ONE-SORTED/660.trs
Input rules:
   [ b -> f(b),
     f(a) -> f(h(h(h(h(c,b),a),f(c)),c)),
     c -> h(f(c),f(h(c,a))),
     c -> f(b) ]
Sorts having no ground terms: 
Rules applicable to ground terms:
   [ b -> f(b),
     f(a) -> f(h(h(h(h(c,b),a),f(c)),c)),
     c -> h(f(c),f(h(c,a))),
     c -> f(b) ]
Constructor pattern: [f(?x_1),a,h(?x_1,?x_2)]
Defined pattern: [c,b]
Constructor subsystem:
   [ ]
Modified Constructor subsystem:
   [ ]
candidate for c:
   [ c -> f(b) ]
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),a,h(?x_1,?x_2),b]
Defined pattern: [c]
Constructor subsystem:
   [ b -> f(b) ]
Modified Constructor subsystem:
   [ b -> f(b) ]
candidate for c:
   [ c -> f(b) ]
Find a quasi-ordering ...
encodeSameNthStatus h/0, h/1
encodeSameNthStatus(sub) logArF:1, logArG:1
failed to find an ordering.
Try to supplement auxiliary rules.
{b}{f(c),f(h(h(h(h(c,b),a),f(c)),c))}{c}{}Supplemented Rules:
   [ ]
failed to supplement auxiliary rules
Retry with a different D/C-partition.
Constructor pattern: [f(?x_1),a,h(?x_1,?x_2),b,c]
Defined pattern: []
Constructor subsystem:
   [ b -> f(b),
     f(a) -> f(h(h(h(h(c,b),a),f(c)),c)),
     c -> h(f(c),f(h(c,a))),
     c -> f(b) ]
Modified Constructor subsystem:
   [ b -> f(b),
     f(a) -> f(h(h(h(h(c,b),a),f(c)),c)),
     c -> h(f(c),f(h(c,a))),
     c -> f(b) ]
Find a quasi-ordering ...
order successfully found
Precedence:
 c : Mul;
 b : Mul;
 h : Mul;
 f : Mul;
 a : Mul;
Rules:
   [ c -> f(b) ]
Check confluence of constructor subsystem...
Check Termination...
Terminating, WCR: CR
Conjectures:
   [ b = f(b),
     f(a) = f(h(h(h(h(c,b),a),f(c)),c)),
     c = h(f(c),f(h(c,a))) ]
STEP 0
ES:
   [ b = f(b),
     f(a) = f(h(h(h(h(c,b),a),f(c)),c)),
     c = h(f(c),f(h(c,a))) ]
HS:
   [ ]
ES0:
   [ b = f(b),
     f(a) = f(h(h(h(h(f(b),b),a),f(f(b))),f(b))),
     f(b) = h(f(f(b)),f(h(f(b),a))) ]
HS0:
   [ ]
ES1:
   [ b = f(b),
     f(a) = f(h(h(h(h(f(b),b),a),f(f(b))),f(b))),
     f(b) = h(f(f(b)),f(h(f(b),a))) ]
HS1:
   [ ]
: Success(not GCR)
(320 msec.)
0.32