NO
(ignored inputs)COMMENT TPDB SRS_Standard/Zantema_04/z110
input TRS:
   [ a(a(?x)) -> b(?x),
     b(a(?x)) -> a(b(?x)),
     b(b(c(?x))) -> c(a(?x)),
     b(b(?x)) -> a(a(a(?x))),
     c(a(?x)) -> b(a(c(?x))) ]
TRS:
   [ a(a(?x)) -> b(?x),
     b(a(?x)) -> a(b(?x)),
     b(b(c(?x))) -> c(a(?x)),
     b(b(?x)) -> a(a(a(?x))),
     c(a(?x)) -> b(a(c(?x))) ]
New rules by rule reversing:
   [ a(a(?x)) -> b(?x),
     b(a(?x)) -> a(b(?x)),
     b(b(c(?x))) -> c(a(?x)),
     b(b(?x)) -> b(b(?x)),
     a(a(a(?x))) -> b(b(?x)),
     c(a(?x)) -> c(a(?x)),
     b(a(c(?x))) -> c(a(?x)) ]
constructed TRS:
   [ a(a(?x)) -> b(?x),
     b(a(?x)) -> a(b(?x)),
     b(b(c(?x))) -> c(a(?x)),
     b(b(?x)) -> b(b(?x)),
     a(a(a(?x))) -> b(b(?x)),
     c(a(?x)) -> c(a(?x)),
     b(a(c(?x))) -> c(a(?x)),
     b(b(?x_4)) -> a(b(?x_4)),
     a(b(b(?x_4))) -> b(b(?x_4)),
     a(b(a(?x))) -> b(b(?x)),
     b(b(b(?x_4))) -> a(b(b(?x_4))),
     c(a(?x_6)) -> a(b(c(?x_6))),
     b(b(a(?x))) -> b(b(?x)),
     a(b(b(?x))) -> b(b(a(?x))),
     b(b(a(b(c(?x_11))))) -> c(b(?x_11)),
     b(b(b(b(?x_8)))) -> a(b(b(?x_8))),
     b(b(b(b(?x_13)))) -> b(b(b(?x_13))),
     b(a(a(b(c(?x_11))))) -> c(b(?x_11)),
     b(a(b(?x_1))) -> b(b(?x_1)),
     b(c(a(?x_2))) -> a(c(a(?x_2))),
     a(b(a(b(?x_1)))) -> b(b(?x_1)),
     a(c(a(?x_2))) -> a(b(c(?x_2))),
     a(b(c(a(?x_2)))) -> b(c(a(?x_2))),
     a(b(c(a(?x)))) -> c(b(?x)),
     c(b(b(?x_4))) -> a(b(c(b(?x_4)))),
     a(b(c(b(b(?x_8))))) -> c(b(b(?x_8))),
     a(b(c(b(a(?x_9))))) -> c(b(b(?x_9))),
     b(a(b(?x_1))) -> a(b(?x_1)),
     b(c(a(?x_6))) -> a(b(c(?x_6))),
     a(c(a(?x_2))) -> b(c(a(?x_2))),
     a(b(c(a(?x_6)))) -> b(b(b(c(?x_6)))),
     b(b(a(b(a(?x_12))))) -> b(b(b(?x_12))) ]
convertible distinct normal forms: a(b(c(b(?x_17)))) = a(c(b(?x_17)))
UNC Completion (Strongly Closed)
problems/986.trs: Success(not UNC)
(232 msec.)