Snapping existing raster to another existing raster using ArcGIS for Desktop?

[المشرف العام]

I have got two existing rasters that have the same cell size (5x5m). The corner of cells from raster A are located exactly at the centres of cells in raster B. I want to place raster B exactly on top of my raster A.

I have tried these options:

1. the tool 'resample' on raster B, while maintaining the same cell size and snapping to raster A.
2. the tools 'raster to points' and consequently 'points to raster' on raster B, again, maintaining the grid size and snapping to raster A.
3. the tool 'copy raster', snapping raster B-copy to raster A.

All options have the same result: raster B is still exactly where it lay before, with the corners of cells in B at the centre of cells in A.

Whenever Google this problem, I end up at 'environment settings' when making the grid for the first time - but I do not have the data on which the grid was based. Do you have any suggestions on how I could solve this, without a need for the original data?

I am working in ArcGIS 10.2.1. I've got a basic license, but might be able to do an upgrade to Standard or Advanced if necessary.

Edit: the raster files are .asc files.



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