
The complete proof:
The Isar proof is in: proofs/isar_proof33.thy
The proof in the natural language form is in: proofs/nl_proof33.tex
The number of steps: 21
The number of axioms used: 2
The list of used axioms:
ax_comp_4123 ax_comp_2134 

The clean proof: 
The Isar proof is in: proofs/isar_proof_optimized33.thy
The proof in the natural language form is in: proofs/nl_proof_optimized33.tex
The number of steps: 10

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

Basic time: 1.99 seconds. 
Cleaning time: 0.01 seconds. 
Total time: 2 seconds. 

