(ignored inputs)COMMENT TPDB SRS_Standard/Zantema_04/syracuse
Rewrite Rules:
   [ h(1(1(?x))) -> 1(h(?x)),
     1(1(h(b(?x)))) -> 1(1(s(b(?x)))),
     1(s(?x)) -> s(1(?x)),
     b(s(?x)) -> b(h(?x)),
     h(1(b(?x))) -> t(1(1(b(?x)))),
     1(t(?x)) -> t(1(1(1(?x)))),
     b(t(?x)) -> b(h(?x)) ]
Apply Direct Methods...
Inner CPs:
   [ h(1(1(s(b(?x_1))))) = 1(h(h(b(?x_1)))),
     h(1(1(1(s(b(?x_1)))))) = 1(h(1(h(b(?x_1))))),
     h(1(s(1(?x_2)))) = 1(h(s(?x_2))),
     h(1(t(1(1(1(?x_5)))))) = 1(h(t(?x_5))),
     1(1(h(b(h(?x_3))))) = 1(1(s(b(s(?x_3))))),
     1(1(h(b(h(?x_6))))) = 1(1(s(b(t(?x_6))))),
     h(1(b(h(?x_3)))) = t(1(1(b(s(?x_3))))),
     h(1(b(h(?x_6)))) = t(1(1(b(t(?x_6))))) ]
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:
   [ h(1(1(s(b(?x_2))))) = 1(h(h(b(?x_2)))),
     h(1(1(1(s(b(?x_2)))))) = 1(h(1(h(b(?x_2))))),
     h(1(s(1(?x_3)))) = 1(h(s(?x_3))),
     h(1(t(1(1(1(?x_6)))))) = 1(h(t(?x_6))),
     1(1(h(b(h(?x_4))))) = 1(1(s(b(s(?x_4))))),
     1(1(h(b(h(?x_7))))) = 1(1(s(b(t(?x_7))))),
     1(h(h(b(h(?x_4))))) = h(1(1(s(b(s(?x_4)))))),
     1(h(h(b(h(?x_7))))) = h(1(1(s(b(t(?x_7)))))),
     1(h(1(h(b(h(?x_4)))))) = h(1(1(1(s(b(s(?x_4))))))),
     1(h(1(h(b(h(?x_7)))))) = h(1(1(1(s(b(t(?x_7))))))),
     1(h(h(b(?x)))) = h(1(1(s(b(?x))))),
     1(h(1(h(b(?x))))) = h(1(1(1(s(b(?x)))))),
     1(h(s(?x))) = h(1(s(1(?x)))),
     1(1(s(b(s(?x))))) = 1(1(h(b(h(?x))))),
     t(1(1(b(s(?x))))) = h(1(b(h(?x)))),
     h(1(b(h(?x_5)))) = t(1(1(b(s(?x_5))))),
     h(1(b(h(?x_7)))) = t(1(1(b(t(?x_7))))),
     1(h(t(?x))) = h(1(t(1(1(1(?x)))))),
     1(1(s(b(t(?x))))) = 1(1(h(b(h(?x))))),
     t(1(1(b(t(?x))))) = h(1(b(h(?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 <h(1(1(s(b(?x_1))))), 1(h(h(b(?x_1))))> by Rules <1, 0> preceded by [(h,1)]
unknown Diagram Decreasing
check Non-Confluence...
obtain 11 rules by 3 steps unfolding
obtain 100 candidates for checking non-joinability
check by TCAP-Approximation (success)
Witness for Non-Confluence: <h(s(1(1(c_1)))) <- h(1(1(s(c_1)))) -> 1(h(s(c_1)))>
Direct Methods: not CR

Combined result: not CR
961.trs: Success(not CR)
NO
(105 msec.)