Problem:
 -(x,x) -> 0()
 -(s(x),s(y)) -> -(x,y)
 +(x,y) -> +(y,x)
 +(0(),x) -> x
 +(x,0()) -> x
 +(s(x),y) -> s(+(x,y))
 +(x,s(y)) -> s(+(y,x))
 +(p(x),y) -> p(+(x,y))
 +(x,p(y)) -> p(+(y,x))
 s(p(x)) -> x
 p(s(x)) -> x

Proof:
 Nonconfluence Processor:
  terms: -(x414,s(y)) *<- -(s(p(x414)),s(y)) ->* -(p(x414),y)
  Qed