(ignored inputs)COMMENT TPDB SRS_Standard/Zantema_04/z101
Rewrite Rules:
[ a(a(?x)) -> b(b(b(?x))),
b(b(b(b(?x)))) -> a(a(a(?x))) ]
Apply Direct Methods...
Inner CPs:
[ a(b(b(b(?x)))) = b(b(b(a(?x)))),
b(a(a(a(?x)))) = a(a(a(b(?x)))),
b(b(a(a(a(?x))))) = a(a(a(b(b(?x))))),
b(b(b(a(a(a(?x)))))) = a(a(a(b(b(b(?x)))))) ]
Outer CPs:
[ ]
not Overlay, check Termination...
unknown/not Terminating
unknown Knuth & Bendix
Linear
unknown Development Closed
unknown Strongly Closed
unknown Weakly-Non-Overlapping & Non-Collapsing & Shallow
inner CP cond (upside-parallel)
innter CP Cond (outside)
unknown Upside-Parallel-Closed/Outside-Closed
(inner) Parallel CPs: (not computed)
unknown Toyama (Parallel CPs)
Simultaneous CPs:
[ a(b(b(b(?x_1)))) = b(b(b(a(?x_1)))),
b(b(b(b(b(b(?x_1)))))) = a(b(b(b(a(?x_1))))),
b(b(b(a(?x)))) = a(b(b(b(?x)))),
b(a(a(a(?x_1)))) = a(a(a(b(?x_1)))),
b(b(a(a(a(?x_1))))) = a(a(a(b(b(?x_1))))),
b(b(b(a(a(a(?x_1)))))) = a(a(a(b(b(b(?x_1)))))),
a(a(a(a(a(a(?x_1)))))) = b(a(a(a(b(b(b(?x_1))))))),
a(a(a(a(a(a(?x_1)))))) = b(b(a(a(a(b(b(?x_1))))))),
a(a(a(b(a(a(a(?x_1))))))) = b(b(a(a(a(b(b(b(?x_1)))))))),
a(a(a(a(a(a(?x_1)))))) = b(b(b(a(a(a(b(?x_1))))))),
a(a(a(b(a(a(a(?x_1))))))) = b(b(b(a(a(a(b(b(?x_1)))))))),
a(a(a(b(b(a(a(a(?x_1)))))))) = b(b(b(a(a(a(b(b(b(?x_1))))))))),
a(a(a(b(?x)))) = b(a(a(a(?x)))),
a(a(a(b(b(?x))))) = b(b(a(a(a(?x))))),
a(a(a(b(b(b(?x)))))) = b(b(b(a(a(a(?x)))))) ]
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 by Rules <0, 0> preceded by [(a,1)]
unknown Diagram Decreasing
check Non-Confluence...
obtain 6 rules by 3 steps unfolding
obtain 100 candidates for checking non-joinability
check by TCAP-Approximation (success)
Witness for Non-Confluence: b(b(b(a(c_1))))>
Direct Methods: not CR
Combined result: not CR
946.trs: Success(not CR)
NO
(97 msec.)