XYPHERS INFORMATION LAW REPRODUCTION The verification needs Python 3 with python-flint (tested with 0.6.0): python3 -m pip install python-flint==0.6.0 From this directory: python3 verify.py > my-verification.txt diff verification.txt my-verification.txt No output from diff means your run reproduced the recorded output exactly. The run takes about nine seconds and ends with checks failed: 0 OVERALL PASS The SHA-256 of verification.txt is e9eab00f19c90229536977b4e8bed4235384e6b5cf57f2d2776ac44896831bed The independent check, written from THEOREM.md alone, needs the same Python. From independent/: python3 check.py > my-output.txt diff output.txt my-output.txt It takes about thirty-five seconds and ends with checks: 18496 agree, 0 disagree, 102 claims OVERALL PASS independent/output-run1.txt is its first run, on the first version of the theorem. It ends with OVERALL FAIL because that version printed one formula, the demon world's limit, with the argument of a logarithm inverted (THEOREM.md section 11). Every other check agreed.