NO
(ignored inputs)COMMENT submitted by: Johannes Waldmann
input TRS:
   [ a(b(?x)) -> b(c(?x)),
     c(b(?x)) -> b(c(?x)),
     c(b(?x)) -> c(c(?x)),
     b(b(?x)) -> a(c(?x)),
     a(b(?x)) -> a(b(?x)),
     c(c(?x)) -> c(b(?x)),
     a(c(?x)) -> c(a(?x)) ]
TRS:
   [ a(b(?x)) -> b(c(?x)),
     c(b(?x)) -> b(c(?x)),
     c(b(?x)) -> c(c(?x)),
     b(b(?x)) -> a(c(?x)),
     a(b(?x)) -> a(b(?x)),
     c(c(?x)) -> c(b(?x)),
     a(c(?x)) -> c(a(?x)) ]
New rules by rule reversing:
   [ a(b(?x)) -> b(c(?x)),
     c(b(?x)) -> b(c(?x)),
     c(b(?x)) -> c(c(?x)),
     b(b(?x)) -> a(c(?x)),
     c(c(?x)) -> c(b(?x)),
     a(c(?x)) -> c(a(?x)) ]
constructed TRS:
   [ a(b(?x)) -> b(c(?x)),
     c(b(?x)) -> b(c(?x)),
     c(b(?x)) -> c(c(?x)),
     b(b(?x)) -> a(c(?x)),
     c(c(?x)) -> c(b(?x)),
     a(c(?x)) -> c(a(?x)),
     a(a(c(?x_3))) -> b(c(b(?x_3))),
     c(a(c(?x_3))) -> b(c(b(?x_3))),
     c(a(c(?x_3))) -> c(c(b(?x_3))),
     c(b(c(?x_1))) -> c(b(b(?x_1))),
     c(c(c(?x_2))) -> c(b(b(?x_2))),
     a(b(c(?x_1))) -> c(a(b(?x_1))),
     a(c(c(?x_2))) -> c(a(b(?x_2))),
     a(c(b(?x_4))) -> c(a(c(?x_4))),
     a(c(b(?x))) -> b(c(a(?x))),
     c(c(?x_1)) -> b(c(?x_1)),
     c(b(c(b(?x_7)))) -> c(b(a(c(?x_7)))),
     c(c(c(b(?x_8)))) -> c(b(a(c(?x_8)))),
     c(c(b(b(?x_9)))) -> c(b(b(c(?x_9)))),
     c(c(b(b(?x_10)))) -> c(b(c(c(?x_10)))),
     a(b(c(b(?x_7)))) -> c(a(a(c(?x_7)))),
     a(c(c(b(?x_8)))) -> c(a(a(c(?x_8)))),
     a(c(b(b(?x_9)))) -> c(a(b(c(?x_9)))),
     a(c(b(b(?x_10)))) -> c(a(c(c(?x_10)))),
     a(b(c(?x_15))) -> c(a(c(?x_15))),
     a(a(b(c(?x_1)))) -> b(c(b(b(?x_1)))),
     a(a(c(c(?x_2)))) -> b(c(b(b(?x_2)))),
     a(a(c(b(?x_4)))) -> b(c(b(c(?x_4)))),
     b(c(b(?x_5))) -> c(a(a(?x_5))),
     a(a(b(c(b(?x_7))))) -> b(c(b(a(c(?x_7))))),
     a(a(c(c(b(?x_8))))) -> b(c(b(a(c(?x_8))))),
     a(a(c(b(b(?x_9))))) -> b(c(b(b(c(?x_9))))),
     a(a(c(b(b(?x_10))))) -> b(c(b(c(c(?x_10))))),
     a(c(a(b(?x_12)))) -> b(c(b(c(?x_12)))),
     a(c(a(c(?x_13)))) -> b(c(b(b(?x_13)))),
     a(b(c(a(?x_14)))) -> b(c(b(b(?x_14)))),
     a(a(b(c(?x_15)))) -> b(c(b(c(?x_15)))),
     c(a(b(c(?x_1)))) -> b(c(b(b(?x_1)))),
     c(a(c(c(?x_2)))) -> b(c(b(b(?x_2)))),
     c(a(c(b(?x_4)))) -> b(c(b(c(?x_4)))),
     b(c(b(?x_5))) -> b(c(a(?x_5))),
     c(a(c(c(b(?x_8))))) -> b(c(b(a(c(?x_8))))),
     c(a(c(b(b(?x_9))))) -> b(c(b(b(c(?x_9))))),
     c(a(c(b(b(?x_10))))) -> b(c(b(c(c(?x_10))))),
     c(c(a(c(?x_13)))) -> b(c(b(b(?x_13)))),
     c(b(c(a(?x_14)))) -> b(c(b(b(?x_14)))),
     c(a(b(c(?x_15)))) -> b(c(b(c(?x_15)))),
     c(a(b(c(?x_1)))) -> c(c(b(b(?x_1)))),
     c(a(c(c(?x_2)))) -> c(c(b(b(?x_2)))),
     c(a(c(b(?x_4)))) -> c(c(b(c(?x_4)))),
     c(c(b(?x_5))) -> b(c(a(?x_5))),
     c(a(b(c(b(?x_7))))) -> c(c(b(a(c(?x_7))))),
     c(a(c(b(b(?x_9))))) -> c(c(b(b(c(?x_9))))),
     c(a(c(b(b(?x_10))))) -> c(c(b(c(c(?x_10))))),
     c(c(a(c(?x_13)))) -> c(c(b(b(?x_13)))),
     c(b(c(a(?x_14)))) -> c(c(b(b(?x_14)))),
     c(a(b(c(?x_15)))) -> c(c(b(c(?x_15)))),
     c(b(b(c(?x_1)))) -> c(b(b(b(?x_1)))),
     c(b(c(c(?x_2)))) -> c(b(b(b(?x_2)))),
     c(b(b(c(b(?x_7))))) -> c(b(b(a(c(?x_7))))),
     c(b(c(c(b(?x_8))))) -> c(b(b(a(c(?x_8))))),
     c(b(c(b(b(?x_10))))) -> c(b(b(c(c(?x_10))))),
     c(c(b(c(?x_1)))) -> c(b(b(b(?x_1)))),
     c(c(c(c(?x_2)))) -> c(b(b(b(?x_2)))),
     c(c(b(c(b(?x_7))))) -> c(b(b(a(c(?x_7))))),
     c(c(c(c(b(?x_8))))) -> c(b(b(a(c(?x_8))))),
     c(c(c(b(b(?x_9))))) -> c(b(b(b(c(?x_9))))),
     a(b(b(c(?x_1)))) -> c(a(b(b(?x_1)))),
     a(b(c(c(?x_2)))) -> c(a(b(b(?x_2)))),
     a(b(c(b(?x_4)))) -> c(a(b(c(?x_4)))),
     a(b(b(c(b(?x_7))))) -> c(a(b(a(c(?x_7))))),
     a(b(c(c(b(?x_8))))) -> c(a(b(a(c(?x_8))))),
     a(b(c(b(b(?x_9))))) -> c(a(b(b(c(?x_9))))),
     a(b(c(b(b(?x_10))))) -> c(a(b(c(c(?x_10))))),
     a(b(b(c(?x_15)))) -> c(a(b(c(?x_15)))),
     a(c(b(c(?x_1)))) -> c(a(b(b(?x_1)))),
     a(c(c(c(?x_2)))) -> c(a(b(b(?x_2)))),
     a(c(b(c(b(?x_7))))) -> c(a(b(a(c(?x_7))))),
     a(c(c(c(b(?x_8))))) -> c(a(b(a(c(?x_8))))),
     a(c(c(b(b(?x_9))))) -> c(a(b(b(c(?x_9))))),
     a(c(c(b(b(?x_10))))) -> c(a(b(c(c(?x_10))))),
     a(c(a(c(?x_3)))) -> c(a(c(b(?x_3)))),
     a(b(c(?x_1))) -> b(c(a(?x_1))),
     a(c(c(?x_2))) -> b(c(a(?x_2))),
     a(c(a(c(?x_3)))) -> b(c(a(b(?x_3)))),
     a(c(b(b(?x_9)))) -> b(c(a(c(?x_9)))),
     c(b(c(?x_1))) -> b(c(b(?x_1))),
     c(c(c(?x_2))) -> b(c(b(?x_2))),
     c(c(b(?x_4))) -> b(c(c(?x_4))),
     c(b(c(b(?x_7)))) -> b(c(a(c(?x_7)))),
     c(c(c(b(?x_8)))) -> b(c(a(c(?x_8)))),
     c(c(b(b(?x_9)))) -> b(c(b(c(?x_9)))),
     c(c(b(b(?x_10)))) -> b(c(c(c(?x_10)))),
     b(a(c(?x))) -> b(c(a(?x))),
     c(a(b(c(b(?x))))) -> b(c(b(a(c(?x))))),
     c(a(c(c(b(?x))))) -> c(c(b(a(c(?x))))),
     c(b(c(b(b(?x))))) -> c(b(b(b(c(?x))))),
     c(c(c(b(b(?x))))) -> c(b(b(c(c(?x))))),
     b(c(c(?x_11))) -> c(a(b(?x_11))),
     c(a(c(?x_12))) -> c(a(b(?x_12))),
     c(a(b(?x_13))) -> c(a(c(?x_13))),
     c(a(b(?x_14))) -> b(c(a(?x_14))),
     c(a(c(?x_13))) -> b(c(a(?x_13))) ]
convertible distinct normal forms: c(a(a(?x_28))) = b(c(a(?x_28)))
UNC Completion (Development Closed)
problems/999.trs: Success(not UNC)
(5492 msec.)