NO
(ignored inputs)COMMENT [111] p. 30 ( GUN & ~UN & ~GUNC )
Rewrite Rules:
   [ b -> a,
     b -> c,
     c -> c,
     d -> c,
     d -> e,
     f(?x,a) -> A,
     f(?x,e) -> A,
     f(?x,A) -> A,
     f(c,?x) -> A ]
Apply Direct Methods...
Inner CPs:
   [ f(c,?x_3) = A ]
Outer CPs:
   [ a = c,
     c = e,
     A = A,
     A = A,
     A = A ]
not Overlay, check Termination...
unknown/not 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:
   [ c = a,
     a = c,
     A = f(c,?x_3),
     e = c,
     c = e,
     A = A,
     f(c,?x) = A ]
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 <f(c,?x_3), A> by Rules <2, 8> preceded by [(f,1)]
 joinable by a reduction of rules <[([],8)], []>
Critical Pair <c, a> by Rules <1, 0> preceded by []
unknown Diagram Decreasing
check Non-Confluence...
obtain 11 rules by 3 steps unfolding
obtain 6 candidates for checking non-joinability
check by TCAP-Approximation (failure)
check by Ordering(rpo), check by Tree-Automata Approximation (success)
Witness for Non-Confluence: <c <- b -> a>
Direct Methods: not CR

Combined result: not CR
511.trs: Success(not CR)
(12 msec.)