YES
Input TRS:
      1: minus(minus(x)) -> x
      2: minus(+(x,y)) -> *(minus(minus(minus(x))),minus(minus(minus(y))))
      3: minus(*(x,y)) -> +(minus(minus(minus(x))),minus(minus(minus(y))))
      4: f(minus(x)) -> minus(minus(minus(f(x))))
Number of strict rules: 4
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #minus(+(x,y)) -> #minus(minus(minus(x)))
     #2: #minus(+(x,y)) -> #minus(minus(x))
     #3: #minus(+(x,y)) -> #minus(x)
     #4: #minus(+(x,y)) -> #minus(minus(minus(y)))
     #5: #minus(+(x,y)) -> #minus(minus(y))
     #6: #minus(+(x,y)) -> #minus(y)
     #7: #minus(*(x,y)) -> #minus(minus(minus(x)))
     #8: #minus(*(x,y)) -> #minus(minus(x))
     #9: #minus(*(x,y)) -> #minus(x)
     #10: #minus(*(x,y)) -> #minus(minus(minus(y)))
     #11: #minus(*(x,y)) -> #minus(minus(y))
     #12: #minus(*(x,y)) -> #minus(y)
     #13: #f(minus(x)) -> #minus(minus(minus(f(x))))
     #14: #f(minus(x)) -> #minus(minus(f(x)))
     #15: #f(minus(x)) -> #minus(f(x))
     #16: #f(minus(x)) -> #f(x)
Number of SCCs: 2, DPs: 13
  SCC { #16 }
POLO(Sum)... succeeded.
      minus	w: x1 + 1
      f 	w: 0
      #f 	w: x1
      #minus	w: 0
      + 	w: 0
      * 	w: 0
    USABLE RULES: { }
    Removed DPs: #16
Number of SCCs: 1, DPs: 12
  SCC { #1..12 }
POLO(Sum)... succeeded.
      minus	w: x1
      f 	w: 0
      #f 	w: 0
      #minus	w: x1
      + 	w: x1 + x2 + 21239
      * 	w: x1 + x2 + 21239
    USABLE RULES: { 1..3 }
    Removed DPs: #1..12
Number of SCCs: 0, DPs: 0