(ignored inputs)COMMENT TPDB SRS_Standard/Secret_07_SRS/x02
Rewrite Rules:
   [ a(b(?x)) -> c(d(?x)),
     d(d(?x)) -> b(e(?x)),
     b(?x) -> d(c(?x)),
     d(?x) -> ?x,
     e(c(?x)) -> d(a(?x)),
     a(?x) -> e(d(?x)) ]
Apply Direct Methods...
Inner CPs:
   [ a(d(c(?x_2))) = c(d(?x_2)),
     d(?x_3) = b(e(?x_3)),
     d(b(e(?x))) = b(e(d(?x))) ]
Outer CPs:
   [ c(d(?x)) = e(d(b(?x))),
     b(e(?x_1)) = d(?x_1) ]
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:
   [ e(d(d(c(?x)))) = c(d(?x)),
     e(d(b(?x))) = c(d(?x)),
     a(d(c(?x))) = c(d(?x)),
     b(e(?x_1)) = b(e(d(?x_1))),
     ?x = b(e(?x)),
     d(?x) = b(e(?x)),
     d(b(e(?x_1))) = b(e(d(?x_1))),
     b(e(b(e(?x_1)))) = d(b(e(d(?x_1)))),
     b(e(?x)) = d(b(e(?x))),
     b(e(d(?x))) = d(b(e(?x))),
     c(d(?x)) = a(d(c(?x))),
     b(e(?x_2)) = d(?x_2),
     c(d(?x_1)) = e(d(b(?x_1))) ]
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 <a(d(c(?x_2))), c(d(?x_2))> by Rules <2, 0> preceded by [(a,1)]
unknown Diagram Decreasing
check Non-Confluence...
obtain 9 rules by 3 steps unfolding
obtain 93 candidates for checking non-joinability
check by TCAP-Approximation (success)
Witness for Non-Confluence: <c(e(c_1)) <- d(d(d(c_1))) -> c_1>
Direct Methods: not CR

Combined result: not CR
957.trs: Success(not CR)
NO
(52 msec.)