YES
(ignored inputs)COMMENT reduction failed
Rewrite Rules:
   [ a -> c,
     c -> a,
     c -> h(a,c) ]
Apply Direct Methods...
Inner CPs:
   [  ]
Outer CPs:
   [ a = h(a,c) ]
Overlay, check Innermost Termination...
unknown Innermost Terminating
unknown Knuth & Bendix
Linear
unknown Development Closed
unknown Strongly Closed
unknown Weakly-Non-Overlapping & Non-Collapsing & Shallow
unknown Upside-Parallel-Closed/Outside-Closed
(inner) Parallel CPs: (not computed)
unknown Toyama (Parallel CPs)
Simultaneous CPs:
   [ h(a,c) = a,
     a = h(a,c) ]
unknown Okui (Simultaneous CPs)
unknown Strongly Depth-Preserving & Root-E-Closed/Non-E-Overlapping
unknown Strongly Weight-Preserving & Root-E-Closed/Non-E-Overlapping
check Locally Decreasing Diagrams by Rule Labelling...
Critical Pair <h(a,c), a> by Rules <2, 1> preceded by []
 joinable by a reduction of rules <[], [([],0),([],2)]>
Satisfiable by 2>1,3; h(0,0); 2>1,3
Diagram Decreasing
Direct Methods: CR

Combined result: CR
/tmp/fileJmM9pw.trs: Success(CR)
(2 msec.)