
The complete proof:
The Isar proof is in: proofs/isar_proof9.thy
The proof in the natural language form is in: proofs/nl_proof9.tex
The number of steps: 184
The number of axioms used: 7
The list of used axioms:
ax_D3 ax_D8a ax_g1 ax_g5 ax_D3a ax_ncol_132 ax_comp_1324 

The clean proof: 
The Isar proof is in: proofs/isar_proof_optimized9.thy
The proof in the natural language form is in: proofs/nl_proof_optimized9.tex
The number of steps: 10

The list of all axioms considered (given and derived) is in: all_axioms.txt.

Basic time: 5.36 seconds. 
Cleaning time: 0.02 seconds. 
Total time: 5.38 seconds. 

