YES
Did not drop rules.
Inlined conditions for 3 rules:
  div(s(x)
     ,s(y)) -> s(div(minus(x,y)
                    ,s(y)))  | lte(s(x)
                                  ,y) ->* false()
  power(x,n) -> mult(mult(power(x
                               ,div(n,s(s(0()))))
                         ,power(x,div(n,s(s(0())))))
                    ,s(0()))  | mod(n
                                   ,s(s(0()))) ->* 0()
  power(x,n) -> mult(mult(power(x
                               ,div(n,s(s(0()))))
                         ,power(x,div(n,s(s(0())))))
                    ,x)  | mod(n,s(s(0()))) ->* s(z)
Left-inlined conditions for 0 rules.
Due to Ifrit-method removed 0 infeasible rules.
Did not use redundant rules method.
INFEASIBLE because

problem |(mod(0(),s(s(0())))
         ,power(x2
               ,div(0()
                   ,s(s(0()))))) ->* |(s(x1),x4)
obtained from input
requires
  [problem mod(0()
              ,s(s(0()))) ->* s(x1)
  obtained from
  root-nonreachability
  requires
    [problem obtained from
    narrowing is proven infeasible
    using the symbol transition graph on
    0() ->* s(x1)
    ,problem mod(0()
                ,s(s(0()))) ->* s(x1)
    obtained from
    root-nonreachability
    requires
      [problem obtained from
      narrowing is proven infeasible
      using the symbol transition graph on
      0() ->* s(x1)]
    ,problem obtained from narrowing
    is proven infeasible
    since unification failed for
    mod(0(),s(s(0()))) ~ s(x1)
    ,problem mod(0()
                ,s(s(0()))) ->* s(x1)
    obtained from
    root-nonreachability
    requires
      [problem lte(s(s(0()))
                  ,0()) ->* true()
      obtained from narrowing
      requires
        [problem obtained from
        narrowing is proven infeasible
        using the symbol transition graph on
        false() ->* true()
        ,problem obtained from narrowing
        is proven infeasible
        since unification failed for
        lte(s(s(0())),0()) ~ true()]]]]

where | is used as a fresh function symbol, since it is illegal in the input format.