
The complete proof:
The Isar proof is in: proofs/isar_proof1.thy
The proof in the natural language form is in: proofs/nl_proof1.tex
The number of steps: 125
The number of axioms used: 8
The list of used axioms:
ax_g1 ax_col_132 ax_D2 ax_D1 ax_D6a ax_g4 ax_D1a ax_I1 

The clean proof: 
The Isar proof is in: proofs/isar_proof_optimized1.thy
The proof in the natural language form is in: proofs/nl_proof_optimized1.tex
The number of steps: 13

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

Basic time: 0.77 seconds. 
Cleaning time: 0.01 seconds. 
Total time: 0.78 seconds. 

