Compact proof utilities in sp_trie. (#8574)

* validation extension in sp_io

* need paths

* arc impl

* missing host function in executor

* io to pkdot

* decode function.

* encode primitive.

* trailing tab

* multiple patch

* fix child trie logic

* restore master versionning

* bench compact proof size

* trie-db 22.3 is needed

* line width

* split line

* fixes for bench (additional root may not be needed as original issue was
with empty proof).

* revert compact from block size calculation.

* New error type for compression.

* Adding test (incomplete (failing)).
Also lacking real proof checking (no good primitives in sp-trie crate).

* There is currently no proof recording utility in sp_trie, removing
test.

* small test of child root in proof without a child proof.

* remove empty test.

* remove non compact proof size

* Missing revert.

* proof method to encode decode.