NO
af/ONE-SORTED/677.trs
Input rules:
   [ b -> h(b,c),
     c -> a,
     a -> f(a),
     b -> c,
     b -> b ]
Sorts having no ground terms: 
Rules applicable to ground terms:
   [ b -> h(b,c),
     c -> a,
     a -> f(a),
     b -> c,
     b -> b ]
Constructor pattern: [h(?x_1,?x_2),f(?x_1)]
Defined pattern: [a,c,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),a]
Defined pattern: [c,b]
Constructor subsystem:
   [ a -> f(a) ]
Modified Constructor subsystem:
   [ a -> f(a) ]
candidate for c:
   [ c -> a ]
candidate for b:
   [ b -> c ]
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}{}{a}{}{b}Supplemented Rules:
   [ ]
failed to supplement auxiliary rules
Retry with a different D/C-partition.
Constructor pattern: [h(?x_1,?x_2),f(?x_1),a,c]
Defined pattern: [b]
Constructor subsystem:
   [ c -> a,
     a -> f(a) ]
Modified Constructor subsystem:
   [ c -> a,
     a -> f(a) ]
candidate for b:
   [ b -> c ]
Find a quasi-ordering ...
order successfully found
Precedence:
 b : Mul;
 h : Mul;
 f : Mul;
 c : Mul;
 a : Mul;
Rules:
   [ b -> c,
     c -> a ]
Check confluence of constructor subsystem...
Check Termination...
Terminating, WCR: CR
Conjectures:
   [ b = h(b,c),
     b = b,
     a = f(a) ]
STEP 0
ES:
   [ b = h(b,c),
     b = b,
     a = f(a) ]
HS:
   [ ]
ES0:
   [ a = h(a,a),
     a = a,
     a = f(a) ]
HS0:
   [ ]
ES1:
   [ a = h(a,a),
     a = f(a) ]
HS1:
   [ ]
No equation to expand
check Non-Ground-Confluence...
ground constructor terms for instantiation: {}
ground terms for instantiation: {b: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(a,a) <- b -> f(a)>
: Success(not GCR)
(11 msec.)
0.03