/usr/lib/gcc/arm-linux-gnueabihf/4.5.3/include/ is in gcc-4.5-arm-linux-gnueabihf 4.5.3-12ubuntu2cross1.61.
This file is owned by root:root, with mode 0o755.
..
/usr/lib/gcc/arm-linux-gnueabihf/4.5.3/include-fixed/README
/usr/lib/gcc/arm-linux-gnueabihf/4.5.3/include-fixed/limits.h
/usr/lib/gcc/arm-linux-gnueabihf/4.5.3/include-fixed/linux/
/usr/lib/gcc/arm-linux-gnueabihf/4.5.3/include-fixed/linux/a.out.h
/usr/lib/gcc/arm-linux-gnueabihf/4.5.3/include-fixed/syslimits.h
/usr/lib/gcc/arm-linux-gnueabihf/4.5.3/include/arm_neon.h
/usr/lib/gcc/arm-linux-gnueabihf/4.5.3/include/float.h
/usr/lib/gcc/arm-linux-gnueabihf/4.5.3/include/iso646.h
/usr/lib/gcc/arm-linux-gnueabihf/4.5.3/include/mmintrin.h
/usr/lib/gcc/arm-linux-gnueabihf/4.5.3/include/omp.h
/usr/lib/gcc/arm-linux-gnueabihf/4.5.3/include/stdarg.h
/usr/lib/gcc/arm-linux-gnueabihf/4.5.3/include/stdbool.h
/usr/lib/gcc/arm-linux-gnueabihf/4.5.3/include/stddef.h
/usr/lib/gcc/arm-linux-gnueabihf/4.5.3/include/stdfix.h
/usr/lib/gcc/arm-linux-gnueabihf/4.5.3/include/stdint-gcc.h
/usr/lib/gcc/arm-linux-gnueabihf/4.5.3/include/stdint.h
/usr/lib/gcc/arm-linux-gnueabihf/4.5.3/include/unwind.h
/usr/lib/gcc/arm-linux-gnueabihf/4.5.3/include/varargs.h