NO
(ignored inputs)SIG ( f 2 ) ( a 0 ) ( b 0 ) ( c 0 ) COMMENT [111] Example 1 with additional constant c submitted by: Franziska Rapp
input TRS:
   [ a -> b,
     f(?x,a) -> f(b,b),
     f(b,?x) -> f(b,b),
     f(f(?x,?y),?z) -> f(b,b) ]
TRS:
   [ a -> b,
     f(?x,a) -> f(b,b),
     f(b,?x) -> f(b,b),
     f(f(?x,?y),?z) -> f(b,b) ]
constructed TRS:
   [ a -> b,
     f(?x,a) -> f(b,b),
     f(b,?x) -> f(b,b),
     f(f(?x,?y),?z) -> f(b,b) ]
convertible distinct normal forms: f(?x,b) = f(?x_1,b)
UNC Completion (Development Closed)
problems/557.trs: Success(not UNC)
(0 msec.)