How to delete vowels in a string using pointers

I want to delete vowels from a string and print the remaining. But my if condition doesn't behave as expected.

    #include <stdio.h>

    void filter (char *p, char *q)
    {
      while (*p != '\0')
        {
          if (*p != 'a' || *p != 'e' || *p != 'i' || *p != 'o' || *p != 'u')
        {
          *q = *p;
          q++;
        }
          p++;
        }
      *q = '\0';
    }

    int main ()
    {
      char str1[10] = "hello";
      char str2[10];
      char *p, *q;
      p = &str1[0];
      q = &str2[0];
      filter (p, q);
      printf ("%s", str2);
      return 0;
    }

I expect the output to be hll but the output was hello. I would like to know the reason for the mistake and the way to fix it.