
The complete proof:
The Isar proof is in: proofs/isar_proof20.thy
The proof in the natural language form is in: proofs/nl_proof20.tex
The number of steps: 9
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_optimized20.thy
The proof in the natural language form is in: proofs/nl_proof_optimized20.tex
The number of steps: 5

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

Basic time: 0.58 seconds. 
Cleaning time: 0 seconds. 
Total time: 0.58 seconds. 

