NO
af/ONE-SORTED/657.trs
Input rules:
   [ h(f(b),a) -> h(f(h(c,a)),f(a)),
     c -> f(c),
     c -> h(f(b),c),
     a -> c,
     f(a) -> b ]
Sorts having no ground terms: 
Rules applicable to ground terms:
   [ h(f(b),a) -> h(f(h(c,a)),f(a)),
     c -> f(c),
     c -> h(f(b),c),
     a -> c,
     f(a) -> b ]
Constructor pattern: [h(?x_1,?x_2),f(?x_1),b]
Defined pattern: [c,a]
Constructor subsystem:
   [ ]
Modified Constructor subsystem:
   [ ]
No orientable rules for c. 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),b,c]
Defined pattern: [a]
Constructor subsystem:
   [ c -> f(c),
     c -> h(f(b),c) ]
Modified Constructor subsystem:
   [ c -> f(c),
     c -> h(f(b),c) ]
candidate for a:
   [ a -> 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.
{h(c,a),h(f(h(c,a)),f(a))}{c}{c}{}{}Supplemented Rules:
   [ h(f(b),a) -> h(f(h(c,c)),b) ]
Constructor subsystem:
   [ c -> f(c),
     c -> h(f(b),c) ]
Modified Constructor subsystem:
   [ c -> f(c),
     c -> h(f(b),c) ]
candidate for a:
   [ a -> 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.
{h(c,a),h(f(h(c,a)),f(a))}{c}{c}{}{}{h(c,c),h(f(h(c,c)),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),b,c,a]
Defined pattern: []
Constructor subsystem:
   [ h(f(b),a) -> h(f(h(c,a)),f(a)),
     c -> f(c),
     c -> h(f(b),c),
     a -> c,
     f(a) -> b ]
Modified Constructor subsystem:
   [ h(f(b),a) -> h(f(h(c,a)),f(a)),
     c -> f(c),
     c -> h(f(b),c),
     a -> c,
     f(a) -> b ]
Find a quasi-ordering ...
order successfully found
Precedence:
 c : Mul,  a : Mul;
 b : Mul;
 h : Mul;
 f : Mul;
Rules:
   [ f(a) -> b,
     a -> c ]
Check confluence of constructor subsystem...
Check Termination...
unknown Terminating, Linear, unknown Oostrom, unknown strongly closed: Can't judge
...failed
failed to find an ordering.
Try to supplement auxiliary rules.
{h(c,a),h(f(h(c,a)),f(a))}{c}{c}{}{}Supplemented Rules:
   [ ]
failed to supplement auxiliary rules
check Non-Ground-Confluence...
ground constructor terms for instantiation: {b,h(b,b),f(b)}
ground terms for instantiation: {b:o,h(b,b):o,f(b):o}
obtain 11 rules by 3 steps unfolding
obtain 100 candidates for checking non-joinability
check by TCAP-Approximation (failure)
check by Ordering(rpo), check by Tree-Automata Approximation (success)
Witness for Non-Confluence: <f(c) <- f(a) -> b>
: Success(not GCR)
(49 msec.)
0.07