MAYBE

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

Proof:
 DP Processor:
  DPs:
   -#(s(x),s(y)) -> -#(x,y)
   +#(s(x),y) -> +#(x,y)
   *#(x,s(y)) -> *#(x,y)
   *#(x,s(y)) -> +#(x,*(x,y))
   f#(s(x)) -> *#(s(x),s(x))
   f#(s(x)) -> p#(*(s(x),s(x)))
   f#(s(x)) -> -#(p(*(s(x),s(x))),*(s(x),s(x)))
   f#(s(x)) -> f#(-(p(*(s(x),s(x))),*(s(x),s(x))))
  TRS:
   -(x,0()) -> x
   -(s(x),s(y)) -> -(x,y)
   +(0(),y) -> y
   +(s(x),y) -> s(+(x,y))
   *(x,0()) -> 0()
   *(x,s(y)) -> +(x,*(x,y))
   p(s(x)) -> x
   f(s(x)) -> f(-(p(*(s(x),s(x))),*(s(x),s(x))))
  Open