MAYBE

'Pop* (timeout of 60.0 seconds)'
--------------------------------
Answer:           MAYBE
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  minus(0(), y) -> 0()
     , minus(s(x), y) -> if(gt(s(x), y), x, y)
     , if(true(), x, y) -> s(minus(x, y))
     , if(false(), x, y) -> 0()
     , mod(x, 0()) -> 0()
     , mod(x, s(y)) -> if1(lt(x, s(y)), x, s(y))
     , if1(true(), x, y) -> x
     , if1(false(), x, y) -> mod(minus(x, y), y)
     , gt(0(), y) -> false()
     , gt(s(x), 0()) -> true()
     , gt(s(x), s(y)) -> gt(x, y)
     , lt(x, 0()) -> false()
     , lt(0(), s(x)) -> true()
     , lt(s(x), s(y)) -> lt(x, y)}

Proof Output:    
  The input cannot be shown compatible