YES
(ignored inputs)COMMENT submitted by: Johannes Waldmann
input TRS:
   [ c(a(?x)) -> b(c(?x)),
     a(b(?x)) -> c(b(?x)),
     a(a(?x)) -> b(a(?x)),
     a(c(?x)) -> a(b(?x)),
     c(c(?x)) -> c(a(?x)),
     c(c(?x)) -> c(b(?x)),
     a(c(?x)) -> c(b(?x)),
     c(c(?x)) -> a(c(?x)),
     b(a(?x)) -> c(a(?x)),
     b(c(?x)) -> a(a(?x)),
     b(a(?x)) -> a(c(?x)),
     a(c(?x)) -> a(a(?x)),
     b(c(?x)) -> c(a(?x)),
     b(b(?x)) -> c(a(?x)),
     b(a(?x)) -> a(a(?x)),
     a(c(?x)) -> a(a(?x)),
     a(c(?x)) -> a(c(?x)),
     b(b(?x)) -> c(a(?x)),
     b(a(?x)) -> b(a(?x)),
     c(b(?x)) -> c(b(?x)) ]
TRS:
   [ c(a(?x)) -> b(c(?x)),
     a(b(?x)) -> c(b(?x)),
     a(a(?x)) -> b(a(?x)),
     a(c(?x)) -> a(b(?x)),
     c(c(?x)) -> c(a(?x)),
     c(c(?x)) -> c(b(?x)),
     a(c(?x)) -> c(b(?x)),
     c(c(?x)) -> a(c(?x)),
     b(a(?x)) -> c(a(?x)),
     b(c(?x)) -> a(a(?x)),
     b(a(?x)) -> a(c(?x)),
     a(c(?x)) -> a(a(?x)),
     b(c(?x)) -> c(a(?x)),
     b(b(?x)) -> c(a(?x)),
     b(a(?x)) -> a(a(?x)),
     a(c(?x)) -> a(a(?x)),
     a(c(?x)) -> a(c(?x)),
     b(b(?x)) -> c(a(?x)),
     b(a(?x)) -> b(a(?x)),
     c(b(?x)) -> c(b(?x)) ]
Right-Reducible
problems/1035.trs: Success(UNC)
(0 msec.)