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()))  | n ->* s(n')
  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)  | n ->* s(n')
  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 obtained from input
is proven infeasible
using TCAP on
|(0()
 ,mod(0(),s(s(0())))
 ,power(x2
       ,div(0()
           ,s(s(0()))))) ->* |(s(x1)
                              ,0()
                              ,x4)

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