csharp, 129 bytes

Result

WA

Code [DL]

using System;class E{static void Main(){for(;;)Console.Write(Math.Sqrt(8*Convert.ToByte(Console.ReadLine()||"",2)+1)%2==1?1:0);}}

stdin

01111000
00101100
10011001
00011011
10111001
00110111
11100111
01101011
01100110
00000111
10111110
00111000
01000011
11100111
11011010
01011011
00001111
01000100
10010000
01101001
00100100
11010000
00010100
00000001
01001110
10101011
11000001
00000110
10001000
00001100
01111011
00000011
00001010
10100111
11111101
01000010
11100110
10001111
11010010
00011100
00110100
00000010
00101101
00000000
11011000
00110001
00000001
10100011
00010101
11011101

stdout

Compilation failed: 1 error(s), 0 warnings

stderr

/tmp/code.cs(1,97): error CS0019: Operator `||' cannot be applied to operands of type `string' and `string'
Cannot open assembly '/tmp/code.exe': No such file or directory.
rm: cannot remove '/tmp/code.exe': No such file or directory

strace