0.04/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.04/0.14	% Command    : twee %s --tstp --casc --quiet --explain-encoding --conditional-encoding if --smaller --drop-non-horn
0.14/0.35	% Computer   : n007.cluster.edu
0.14/0.35	% Model      : x86_64 x86_64
0.14/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.35	% Memory     : 8042.1875MB
0.14/0.35	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.35	% CPULimit   : 180
0.14/0.35	% DateTime   : Thu Aug 29 12:46:36 EDT 2019
0.14/0.35	% CPUTime    : 
2.14/2.30	% SZS status Unsatisfiable
2.14/2.30	
2.14/2.30	% SZS output start Proof
2.14/2.30	Take the following subset of the input axioms:
2.14/2.30	  fof(prove_normal_axioms_1, negated_conjecture, a!=meet(a, a)).
2.14/2.30	  fof(single_axiom, axiom, ![B, A, C, D, E, F, G]: B=join(meet(join(meet(A, B), meet(B, join(A, B))), C), meet(join(meet(A, join(join(meet(D, B), meet(B, E)), B)), meet(join(meet(B, meet(meet(join(D, join(B, E)), join(F, B)), B)), meet(G, join(B, meet(meet(join(D, join(B, E)), join(F, B)), B)))), join(A, join(join(meet(D, B), meet(B, E)), B)))), join(join(meet(A, B), meet(B, join(A, B))), C)))).
2.14/2.30	
2.14/2.30	Now clausify the problem and encode Horn clauses using encoding 3 of
2.14/2.30	http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
2.14/2.30	We repeatedly replace C & s=t => u=v by the two clauses:
2.14/2.30	  fresh(y, y, x1...xn) = u
2.14/2.30	  C => fresh(s, t, x1...xn) = v
2.14/2.30	where fresh is a fresh function symbol and x1..xn are the free
2.14/2.30	variables of u and v.
2.14/2.30	A predicate p(X) is encoded as p(X)=true (this is sound, because the
2.14/2.30	input problem has no model of domain size 1).
2.14/2.30	
2.14/2.30	The encoding turns the above axioms into the following unit equations and goals:
2.14/2.30	
2.27/2.50	Axiom 1 (single_axiom): X = join(meet(join(meet(Y, X), meet(X, join(Y, X))), Z), meet(join(meet(Y, join(join(meet(W, X), meet(X, V)), X)), meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(T, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), join(Y, join(join(meet(W, X), meet(X, V)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), Z))).
2.27/2.50	
2.27/2.50	Lemma 2: join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), W), meet(join(meet(Z, join(join(meet(V, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), U)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(V, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), U)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), W))) = join(meet(X, Y), meet(Y, join(X, Y))).
2.27/2.50	Proof:
2.27/2.50	  join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), W), meet(join(meet(Z, join(join(meet(V, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), U)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(V, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), U)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), W)))
2.27/2.50	= { by axiom 1 (single_axiom) }
2.27/2.50	  join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), W), meet(join(meet(Z, join(join(meet(V, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), U)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), meet(meet(join(V, join(join(meet(X, Y), meet(Y, join(X, Y))), U)), join(?, join(meet(X, Y), meet(Y, join(X, Y))))), join(meet(X, Y), meet(Y, join(X, Y))))), meet(join(meet(X, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(X, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), meet(meet(join(V, join(join(meet(X, Y), meet(Y, join(X, Y))), U)), join(?, join(meet(X, Y), meet(Y, join(X, Y))))), join(meet(X, Y), meet(Y, join(X, Y))))))), join(Z, join(join(meet(V, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), U)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), W)))
2.27/2.50	= { by axiom 1 (single_axiom) }
2.59/2.79	  join(meet(X, Y), meet(Y, join(X, Y)))
2.59/2.79	
2.59/2.79	Lemma 3: join(meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), W), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), W))) = join(meet(X, Y), meet(Y, join(X, Y))).
2.59/2.79	Proof:
2.59/2.79	  join(meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), W), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), W)))
2.59/2.79	= { by lemma 2 }
2.59/2.80	  join(meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), W), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), W)))
2.59/2.80	= { by lemma 2 }
2.59/2.80	  join(meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), W), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), W)))
2.59/2.80	= { by lemma 2 }
2.59/2.80	  join(meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))))), W), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), W)))
2.59/2.80	= { by lemma 2 }
2.59/2.81	  join(meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))))), W), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), W)))
2.59/2.81	= { by lemma 2 }
2.59/2.81	  join(meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))))), W), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(join(meet(?, join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), W)))
2.59/2.81	= { by lemma 2 }
2.59/2.82	  join(meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))))), W), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(join(meet(?, join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), W)))
2.59/2.82	= { by lemma 2 }
2.59/2.82	  join(meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))))), W), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(join(meet(?, join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), ?)), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), W)))
2.59/2.82	= { by lemma 2 }
2.59/2.83	  join(meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))))), W), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(join(meet(?, join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), ?)), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(join(meet(?, join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), W)))
2.59/2.83	= { by lemma 2 }
2.59/2.84	  join(meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))))), W), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(join(meet(?, join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), ?)), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(join(meet(?, join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), W)))
2.59/2.84	= { by lemma 2 }
2.69/2.85	  join(meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))))), W), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(join(meet(?, join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), ?)), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(join(meet(?, join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), ?)), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))))))), join(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), W)))
2.69/2.85	= { by lemma 2 }
2.69/2.86	  join(meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))))), W), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(join(meet(?, join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), ?)), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(join(meet(?, join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), ?)), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))))))), join(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), W)))
2.69/2.86	= { by lemma 2 }
2.69/2.87	  join(meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))))), W), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(join(meet(?, join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), ?)), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(join(meet(?, join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), ?)), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))))))), join(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), W)))
2.69/2.88	= { by lemma 2 }
2.69/2.88	  join(meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), 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?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), ?)), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(join(meet(?, join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), ?)), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))))))), join(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))), meet(join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))))), W)))
2.69/2.89	= { by lemma 2 }
2.69/2.89	  join(meet(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y)))))))), meet(join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Z, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Z, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Z, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))))))
2.69/2.89	= { by lemma 2 }
2.69/2.89	  join(meet(X, Y), meet(Y, join(X, Y)))
2.69/2.89	
2.69/2.89	Lemma 4: join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Z), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z))) = join(meet(X, Y), meet(Y, join(X, Y))).
2.69/2.89	Proof:
2.69/2.89	  join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Z), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
2.69/2.89	= { by lemma 3 }
2.69/2.89	  join(meet(join(meet(join(meet(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(?, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(?, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(?, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(?, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), Z), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
2.69/2.89	= { by lemma 3 }
2.69/2.89	  join(meet(join(meet(join(meet(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(?, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(?, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(?, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(?, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), Z), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(join(meet(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(?, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(?, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(?, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(?, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), Z)))
2.69/2.89	= { by lemma 3 }
2.74/2.90	  join(meet(X, Y), meet(Y, join(X, Y)))
2.74/2.90	
2.74/2.90	Lemma 5: join(meet(Y, T), meet(Y, join(Y, T))) = Y.
2.74/2.90	Proof:
2.74/2.90	  join(meet(Y, T), meet(Y, join(Y, T)))
2.74/2.90	= { by axiom 1 (single_axiom) }
2.74/2.90	  join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), T), meet(Y, join(Y, T)))
2.74/2.90	= { by axiom 1 (single_axiom) }
2.74/2.90	  join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), T), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(Y, T)))
2.74/2.90	= { by axiom 1 (single_axiom) }
2.74/2.90	  join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), T), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), T)))
2.74/2.90	= { by lemma 4 }
2.74/2.90	  join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))
2.74/2.90	= { by axiom 1 (single_axiom) }
2.74/2.90	  Y
2.74/2.90	
2.74/2.90	Lemma 6: join(meet(join(meet(Y, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Y, join(meet(X, Y), meet(Y, join(X, Y)))))), Z), meet(Y, join(join(meet(Y, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Y, join(meet(X, Y), meet(Y, join(X, Y)))))), Z))) = join(meet(X, Y), meet(Y, join(X, Y))).
2.74/2.90	Proof:
2.74/2.90	  join(meet(join(meet(Y, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Y, join(meet(X, Y), meet(Y, join(X, Y)))))), Z), meet(Y, join(join(meet(Y, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Y, join(meet(X, Y), meet(Y, join(X, Y)))))), Z)))
2.74/2.90	= { by lemma 5 }
2.74/2.90	  join(meet(join(meet(Y, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Y, join(meet(X, Y), meet(Y, join(X, Y)))))), Z), meet(join(meet(Y, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))), meet(Y, join(Y, join(join(meet(?, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), ?)), join(meet(X, Y), meet(Y, join(X, Y))))))), join(join(meet(Y, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(Y, join(meet(X, Y), meet(Y, join(X, Y)))))), Z)))
2.74/2.90	= { by lemma 2 }
3.08/3.33	  join(meet(X, Y), meet(Y, join(X, Y)))
3.08/3.33	
3.08/3.33	Lemma 7: join(meet(join(meet(join(meet(T, Y), meet(Y, join(T, Y))), Y), meet(Y, join(join(meet(T, Y), meet(Y, join(T, Y))), Y))), S), meet(Y, join(join(meet(join(meet(T, Y), meet(Y, join(T, Y))), Y), meet(Y, join(join(meet(T, Y), meet(Y, join(T, Y))), Y))), S))) = Y.
3.08/3.33	Proof:
3.08/3.33	  join(meet(join(meet(join(meet(T, Y), meet(Y, join(T, Y))), Y), meet(Y, join(join(meet(T, Y), meet(Y, join(T, Y))), Y))), S), meet(Y, join(join(meet(join(meet(T, Y), meet(Y, join(T, Y))), Y), meet(Y, join(join(meet(T, Y), meet(Y, join(T, Y))), Y))), S)))
3.08/3.33	= { by axiom 1 (single_axiom) }
3.08/3.33	  join(meet(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(Y, join(T, Y))), Y), meet(Y, join(join(meet(T, Y), meet(Y, join(T, Y))), Y))), S), meet(Y, join(join(meet(join(meet(T, Y), meet(Y, join(T, Y))), Y), meet(Y, join(join(meet(T, Y), meet(Y, join(T, Y))), Y))), S)))
3.08/3.33	= { by axiom 1 (single_axiom) }
3.08/3.33	  join(meet(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, Y))), Y), meet(Y, join(join(meet(T, Y), meet(Y, join(T, Y))), Y))), S), meet(Y, join(join(meet(join(meet(T, Y), meet(Y, join(T, Y))), Y), meet(Y, join(join(meet(T, Y), meet(Y, join(T, Y))), Y))), S)))
3.08/3.33	= { by axiom 1 (single_axiom) }
3.08/3.33	  join(meet(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), Y), meet(Y, join(join(meet(T, Y), meet(Y, join(T, Y))), Y))), S), meet(Y, join(join(meet(join(meet(T, Y), meet(Y, join(T, Y))), Y), meet(Y, join(join(meet(T, Y), meet(Y, join(T, Y))), Y))), S)))
3.08/3.33	= { by axiom 1 (single_axiom) }
3.08/3.34	  join(meet(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(Y, join(join(meet(T, Y), meet(Y, join(T, Y))), Y))), S), meet(Y, join(join(meet(join(meet(T, Y), meet(Y, join(T, Y))), Y), meet(Y, join(join(meet(T, Y), meet(Y, join(T, Y))), Y))), S)))
3.08/3.34	= { by axiom 1 (single_axiom) }
3.08/3.34	  join(meet(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(T, Y), meet(Y, join(T, Y))), Y))), S), meet(Y, join(join(meet(join(meet(T, Y), meet(Y, join(T, Y))), Y), meet(Y, join(join(meet(T, Y), meet(Y, join(T, Y))), Y))), S)))
3.08/3.34	= { by axiom 1 (single_axiom) }
3.08/3.34	  join(meet(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(Y, join(T, Y))), Y))), S), meet(Y, join(join(meet(join(meet(T, Y), meet(Y, join(T, Y))), Y), meet(Y, join(join(meet(T, Y), meet(Y, join(T, Y))), Y))), S)))
3.08/3.34	= { by axiom 1 (single_axiom) }
3.08/3.35	  join(meet(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, Y))), Y))), S), meet(Y, join(join(meet(join(meet(T, Y), meet(Y, join(T, Y))), Y), meet(Y, join(join(meet(T, Y), meet(Y, join(T, Y))), Y))), S)))
3.08/3.35	= { by axiom 1 (single_axiom) }
3.08/3.35	  join(meet(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), Y))), S), meet(Y, join(join(meet(join(meet(T, Y), meet(Y, join(T, Y))), Y), meet(Y, join(join(meet(T, Y), meet(Y, join(T, Y))), Y))), S)))
3.08/3.36	= { by axiom 1 (single_axiom) }
3.08/3.36	  join(meet(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), S), meet(Y, join(join(meet(join(meet(T, Y), meet(Y, join(T, Y))), Y), meet(Y, join(join(meet(T, Y), meet(Y, join(T, Y))), Y))), S)))
3.08/3.36	= { by axiom 1 (single_axiom) }
3.19/3.37	  join(meet(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), S), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(join(meet(T, Y), meet(Y, join(T, Y))), Y), meet(Y, join(join(meet(T, Y), meet(Y, join(T, Y))), Y))), S)))
3.19/3.37	= { by axiom 1 (single_axiom) }
3.19/3.38	  join(meet(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), S), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(Y, join(T, Y))), Y), meet(Y, join(join(meet(T, Y), meet(Y, join(T, Y))), Y))), S)))
3.19/3.38	= { by axiom 1 (single_axiom) }
3.19/3.38	  join(meet(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), S), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, Y))), Y), meet(Y, join(join(meet(T, Y), meet(Y, join(T, Y))), Y))), S)))
3.19/3.38	= { by axiom 1 (single_axiom) }
3.19/3.39	  join(meet(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), S), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), Y), meet(Y, join(join(meet(T, Y), meet(Y, join(T, Y))), Y))), S)))
3.19/3.39	= { by axiom 1 (single_axiom) }
3.19/3.40	  join(meet(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), S), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(Y, join(join(meet(T, Y), meet(Y, join(T, Y))), Y))), S)))
3.19/3.40	= { by axiom 1 (single_axiom) }
3.19/3.41	  join(meet(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), 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?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), 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join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(T, Y), meet(Y, join(T, Y))), Y))), S)))
3.19/3.41	= { by axiom 1 (single_axiom) }
3.25/3.42	  join(meet(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, 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?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), 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join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, 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3.25/3.42	= { by axiom 1 (single_axiom) }
3.25/3.43	  join(meet(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, 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meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), S), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, 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join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, Y))), Y))), S)))
3.25/3.43	= { by axiom 1 (single_axiom) }
3.25/3.44	  join(meet(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), S), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), Y))), S)))
3.25/3.44	= { by axiom 1 (single_axiom) }
3.25/3.45	  join(meet(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), S), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(join(meet(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))), meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))))), join(T, join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))))), S)))
3.25/3.45	= { by lemma 3 }
3.25/3.45	  join(meet(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y))))), meet(join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))), join(join(meet(?, Y), meet(Y, join(?, Y))), join(meet(?, join(join(meet(?, Y), meet(Y, ?)), Y)), meet(join(meet(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)), meet(?, join(Y, meet(meet(join(?, join(Y, ?)), join(?, Y)), Y)))), join(?, join(join(meet(?, Y), meet(Y, ?)), Y)))))))
3.25/3.45	= { by axiom 1 (single_axiom) }
3.30/3.49	  Y
3.30/3.49	
3.30/3.49	Lemma 8: join(meet(join(meet(Z, Y), meet(Y, join(Z, Y))), W), meet(join(meet(Z, join(join(meet(V, Y), meet(Y, U)), Y)), meet(Y, join(Z, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(Z, Y), meet(Y, join(Z, Y))), W))) = Y.
3.30/3.49	Proof:
3.30/3.49	  join(meet(join(meet(Z, Y), meet(Y, join(Z, Y))), W), meet(join(meet(Z, join(join(meet(V, Y), meet(Y, U)), Y)), meet(Y, join(Z, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(Z, Y), meet(Y, join(Z, Y))), W)))
3.30/3.49	= { by lemma 7 }
3.30/3.49	  join(meet(join(meet(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(Y, join(Z, Y))), W), meet(join(meet(Z, join(join(meet(V, Y), meet(Y, U)), Y)), meet(Y, join(Z, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(Z, Y), meet(Y, join(Z, Y))), W)))
3.30/3.49	= { by lemma 7 }
3.30/3.49	  join(meet(join(meet(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), join(Z, Y))), W), meet(join(meet(Z, join(join(meet(V, Y), meet(Y, U)), Y)), meet(Y, join(Z, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(Z, Y), meet(Y, join(Z, Y))), W)))
3.30/3.49	= { by lemma 7 }
3.30/3.49	  join(meet(join(meet(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), join(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))))), W), meet(join(meet(Z, join(join(meet(V, Y), meet(Y, U)), Y)), meet(Y, join(Z, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(Z, Y), meet(Y, join(Z, Y))), W)))
3.30/3.49	= { by lemma 7 }
3.30/3.49	  join(meet(join(meet(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), join(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))))), W), meet(join(meet(Z, join(join(meet(V, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(Y, U)), Y)), meet(Y, join(Z, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(Z, Y), meet(Y, join(Z, Y))), W)))
3.30/3.49	= { by lemma 7 }
3.30/3.49	  join(meet(join(meet(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), join(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))))), W), meet(join(meet(Z, join(join(meet(V, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), U)), Y)), meet(Y, join(Z, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(Z, Y), meet(Y, join(Z, Y))), W)))
3.30/3.49	= { by lemma 7 }
3.30/3.50	  join(meet(join(meet(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), join(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))))), W), meet(join(meet(Z, join(join(meet(V, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), U)), join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))))), meet(Y, join(Z, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(Z, Y), meet(Y, join(Z, Y))), W)))
3.30/3.50	= { by lemma 7 }
3.30/3.50	  join(meet(join(meet(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), join(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))))), W), meet(join(meet(Z, join(join(meet(V, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), U)), join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))))), meet(Y, join(Z, join(join(meet(V, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(Y, U)), Y)))), join(join(meet(Z, Y), meet(Y, join(Z, Y))), W)))
3.30/3.50	= { by lemma 7 }
3.30/3.50	  join(meet(join(meet(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), join(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))))), W), meet(join(meet(Z, join(join(meet(V, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), U)), join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))))), meet(Y, join(Z, join(join(meet(V, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), U)), Y)))), join(join(meet(Z, Y), meet(Y, join(Z, Y))), W)))
3.30/3.50	= { by lemma 7 }
3.30/3.50	  join(meet(join(meet(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), join(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))))), W), meet(join(meet(Z, join(join(meet(V, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), U)), join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))))), meet(Y, join(Z, join(join(meet(V, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), U)), join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))))))), join(join(meet(Z, Y), meet(Y, join(Z, Y))), W)))
3.30/3.50	= { by lemma 7 }
3.30/3.50	  join(meet(join(meet(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), join(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))))), W), meet(join(meet(Z, join(join(meet(V, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), U)), join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))))), meet(Y, join(Z, join(join(meet(V, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), U)), join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))))))), join(join(meet(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(Y, join(Z, Y))), W)))
3.30/3.50	= { by lemma 7 }
3.30/3.50	  join(meet(join(meet(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), join(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))))), W), meet(join(meet(Z, join(join(meet(V, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), U)), join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))))), meet(Y, join(Z, join(join(meet(V, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), U)), join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))))))), join(join(meet(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), join(Z, Y))), W)))
3.30/3.50	= { by lemma 7 }
3.30/3.50	  join(meet(join(meet(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), join(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))))), W), meet(join(meet(Z, join(join(meet(V, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), U)), join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))))), meet(Y, join(Z, join(join(meet(V, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), U)), join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))))))), join(join(meet(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y))), join(Z, join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))))), W)))
3.30/3.50	= { by lemma 2 }
3.30/3.50	  join(meet(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(?, Y), meet(Y, join(?, Y))), Y), meet(Y, join(join(meet(?, Y), meet(Y, join(?, Y))), Y))), Y)))
3.30/3.50	= { by lemma 7 }
3.30/3.51	  Y
3.30/3.51	
3.30/3.51	Lemma 9: join(meet(Y, X), meet(X, join(Y, X))) = X.
3.30/3.51	Proof:
3.30/3.51	  join(meet(Y, X), meet(X, join(Y, X)))
3.30/3.51	= { by lemma 4 }
3.30/3.51	  join(meet(join(meet(Y, X), meet(X, join(Y, X))), ?), meet(join(meet(Y, X), meet(X, join(Y, X))), join(join(meet(Y, X), meet(X, join(Y, X))), ?)))
3.30/3.51	= { by lemma 6 }
3.30/3.51	  join(meet(join(meet(join(meet(X, join(meet(Y, X), meet(X, join(Y, X)))), meet(join(meet(Y, X), meet(X, join(Y, X))), join(X, join(meet(Y, X), meet(X, join(Y, X)))))), X), meet(X, join(join(meet(X, join(meet(Y, X), meet(X, join(Y, X)))), meet(join(meet(Y, X), meet(X, join(Y, X))), join(X, join(meet(Y, X), meet(X, join(Y, X)))))), X))), ?), meet(join(meet(Y, X), meet(X, join(Y, X))), join(join(meet(Y, X), meet(X, join(Y, X))), ?)))
3.30/3.51	= { by lemma 6 }
3.30/3.51	  join(meet(join(meet(join(meet(X, join(meet(Y, X), meet(X, join(Y, X)))), meet(join(meet(Y, X), meet(X, join(Y, X))), join(X, join(meet(Y, X), meet(X, join(Y, X)))))), X), meet(X, join(join(meet(X, join(meet(Y, X), meet(X, join(Y, X)))), meet(join(meet(Y, X), meet(X, join(Y, X))), join(X, join(meet(Y, X), meet(X, join(Y, X)))))), X))), ?), meet(join(meet(join(meet(X, join(meet(Y, X), meet(X, join(Y, X)))), meet(join(meet(Y, X), meet(X, join(Y, X))), join(X, join(meet(Y, X), meet(X, join(Y, X)))))), join(join(meet(?, X), meet(X, ?)), X)), meet(X, join(join(meet(X, join(meet(Y, X), meet(X, join(Y, X)))), meet(join(meet(Y, X), meet(X, join(Y, X))), join(X, join(meet(Y, X), meet(X, join(Y, X)))))), join(join(meet(?, X), meet(X, ?)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), ?)))
3.30/3.51	= { by lemma 6 }
3.30/3.51	  join(meet(join(meet(join(meet(X, join(meet(Y, X), meet(X, join(Y, X)))), meet(join(meet(Y, X), meet(X, join(Y, X))), join(X, join(meet(Y, X), meet(X, join(Y, X)))))), X), meet(X, join(join(meet(X, join(meet(Y, X), meet(X, join(Y, X)))), meet(join(meet(Y, X), meet(X, join(Y, X))), join(X, join(meet(Y, X), meet(X, join(Y, X)))))), X))), ?), meet(join(meet(join(meet(X, join(meet(Y, X), meet(X, join(Y, X)))), meet(join(meet(Y, X), meet(X, join(Y, X))), join(X, join(meet(Y, X), meet(X, join(Y, X)))))), join(join(meet(?, X), meet(X, ?)), X)), meet(X, join(join(meet(X, join(meet(Y, X), meet(X, join(Y, X)))), meet(join(meet(Y, X), meet(X, join(Y, X))), join(X, join(meet(Y, X), meet(X, join(Y, X)))))), join(join(meet(?, X), meet(X, ?)), X)))), join(join(meet(join(meet(X, join(meet(Y, X), meet(X, join(Y, X)))), meet(join(meet(Y, X), meet(X, join(Y, X))), join(X, join(meet(Y, X), meet(X, join(Y, X)))))), X), meet(X, join(join(meet(X, join(meet(Y, X), meet(X, join(Y, X)))), meet(join(meet(Y, X), meet(X, join(Y, X))), join(X, join(meet(Y, X), meet(X, join(Y, X)))))), X))), ?)))
3.30/3.51	= { by lemma 8 }
3.30/3.51	  X
3.30/3.51	
3.30/3.51	Lemma 10: join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z)))) = Z.
3.30/3.51	Proof:
3.30/3.51	  join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z))))
3.30/3.51	= { by lemma 8 }
3.30/3.51	  join(meet(join(meet(join(meet(X, Z), meet(Z, join(X, Z))), join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z))))), meet(join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z)))), join(join(meet(X, Z), meet(Z, join(X, Z))), join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z))))))), ?), meet(join(meet(join(meet(X, Z), meet(Z, join(X, Z))), join(join(meet(?, join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z))))), meet(join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z)))), ?)), join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z)))))), meet(join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z)))), join(join(meet(X, Z), meet(Z, join(X, Z))), join(join(meet(?, join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z))))), meet(join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z)))), ?)), join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z)))))))), join(join(meet(join(meet(X, Z), meet(Z, join(X, Z))), join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z))))), meet(join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z)))), join(join(meet(X, Z), meet(Z, join(X, Z))), join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z))))))), ?)))
3.30/3.51	= { by lemma 8 }
3.30/3.51	  join(meet(Z, ?), meet(join(meet(join(meet(X, Z), meet(Z, join(X, Z))), join(join(meet(?, join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z))))), meet(join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z)))), ?)), join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z)))))), meet(join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z)))), join(join(meet(X, Z), meet(Z, join(X, Z))), join(join(meet(?, join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z))))), meet(join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z)))), ?)), join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z)))))))), join(join(meet(join(meet(X, Z), meet(Z, join(X, Z))), join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z))))), meet(join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z)))), join(join(meet(X, Z), meet(Z, join(X, Z))), join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z))))))), ?)))
3.30/3.51	= { by lemma 8 }
3.30/3.51	  join(meet(Z, ?), meet(Z, join(join(meet(join(meet(X, Z), meet(Z, join(X, Z))), join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z))))), meet(join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z)))), join(join(meet(X, Z), meet(Z, join(X, Z))), join(meet(X, join(join(meet(Y, Z), meet(Z, W)), Z)), meet(Z, join(X, join(join(meet(Y, Z), meet(Z, W)), Z))))))), ?)))
3.30/3.51	= { by lemma 8 }
3.30/3.51	  join(meet(Z, ?), meet(Z, join(Z, ?)))
3.30/3.51	= { by lemma 5 }
3.30/3.52	  Z
3.30/3.52	
3.30/3.52	Lemma 11: join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))) = X.
3.30/3.52	Proof:
3.30/3.52	  join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X))))
3.30/3.52	= { by lemma 10 }
3.30/3.52	  join(meet(X, join(join(meet(?, join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X))))), meet(join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), ?)), join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))))), meet(join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), join(X, join(join(meet(?, join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X))))), meet(join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), ?)), join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X))))))))
3.30/3.52	= { by lemma 9 }
3.30/3.52	  join(meet(join(meet(join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), X), meet(X, join(join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), X))), join(join(meet(?, join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X))))), meet(join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), ?)), join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))))), meet(join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), join(X, join(join(meet(?, join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X))))), meet(join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), ?)), join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X))))))))
3.30/3.52	= { by lemma 5 }
3.30/3.52	  join(meet(join(meet(join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), X), meet(X, join(join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), X))), join(join(meet(?, join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X))))), meet(join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), ?)), join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))))), meet(join(meet(join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), join(join(meet(Y, X), meet(X, Z)), X)), meet(join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), join(join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), join(join(meet(Y, X), meet(X, Z)), X)))), join(X, join(join(meet(?, join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X))))), meet(join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), ?)), join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X))))))))
3.30/3.52	= { by lemma 9 }
3.30/3.52	  join(meet(join(meet(join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), X), meet(X, join(join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), X))), join(join(meet(?, join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X))))), meet(join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), ?)), join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))))), meet(join(meet(join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), join(join(meet(Y, X), meet(X, Z)), X)), meet(join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), join(join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), join(join(meet(Y, X), meet(X, Z)), X)))), join(join(meet(join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), X), meet(X, join(join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), X))), join(join(meet(?, join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X))))), meet(join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), ?)), join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(V, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X))))))))
3.30/3.52	= { by axiom 1 (single_axiom) }
3.30/3.52	  X
3.30/3.52	
3.30/3.52	Lemma 12: meet(meet(join(Y, join(X, Z)), join(W, X)), X) = X.
3.30/3.52	Proof:
3.30/3.52	  meet(meet(join(Y, join(X, Z)), join(W, X)), X)
3.30/3.52	= { by lemma 9 }
3.30/3.52	  join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(meet(meet(join(Y, join(X, Z)), join(W, X)), X), join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X))))
3.30/3.52	= { by lemma 11 }
3.49/3.67	  X
3.49/3.67	
3.49/3.67	Lemma 13: join(X, X) = X.
3.49/3.67	Proof:
3.49/3.67	  join(X, X)
3.49/3.67	= { by lemma 11 }
3.49/3.67	  join(meet(join(X, X), meet(meet(join(?, join(join(X, X), ?)), join(?, join(X, X))), join(X, X))), meet(X, join(join(X, X), meet(meet(join(?, join(join(X, X), ?)), join(?, join(X, X))), join(X, X)))))
3.49/3.67	= { by lemma 12 }
3.49/3.67	  join(meet(join(X, X), join(X, X)), meet(X, join(join(X, X), meet(meet(join(?, join(join(X, X), ?)), join(?, join(X, X))), join(X, X)))))
3.49/3.67	= { by lemma 9 }
3.49/3.67	  join(meet(join(X, X), join(join(meet(?, X), meet(X, join(?, X))), X)), meet(X, join(join(X, X), meet(meet(join(?, join(join(X, X), ?)), join(?, join(X, X))), join(X, X)))))
3.49/3.67	= { by lemma 2 }
3.49/3.67	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), X)), meet(X, join(join(X, X), meet(meet(join(?, join(join(X, X), ?)), join(?, join(X, X))), join(X, X)))))
3.49/3.67	= { by lemma 10 }
3.49/3.67	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, X), meet(X, ?)), X)), meet(X, join(?, join(join(meet(?, X), meet(X, ?)), X)))))), meet(X, join(join(X, X), meet(meet(join(?, join(join(X, X), ?)), join(?, join(X, X))), join(X, X)))))
3.49/3.67	= { by lemma 9 }
3.49/3.67	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(X, ?)), X)), meet(X, join(?, join(join(meet(?, X), meet(X, ?)), X)))))), meet(X, join(join(X, X), meet(meet(join(?, join(join(X, X), ?)), join(?, join(X, X))), join(X, X)))))
3.49/3.67	= { by lemma 9 }
3.49/3.67	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), X)), meet(X, join(?, join(join(meet(?, X), meet(X, ?)), X)))))), meet(X, join(join(X, X), meet(meet(join(?, join(join(X, X), ?)), join(?, join(X, X))), join(X, X)))))
3.49/3.67	= { by lemma 9 }
3.49/3.67	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, X), meet(X, ?)), X)))))), meet(X, join(join(X, X), meet(meet(join(?, join(join(X, X), ?)), join(?, join(X, X))), join(X, X)))))
3.49/3.67	= { by lemma 9 }
3.49/3.68	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(X, ?)), X)))))), meet(X, join(join(X, X), meet(meet(join(?, join(join(X, X), ?)), join(?, join(X, X))), join(X, X)))))
3.49/3.68	= { by lemma 9 }
3.49/3.68	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), X)))))), meet(X, join(join(X, X), meet(meet(join(?, join(join(X, X), ?)), join(?, join(X, X))), join(X, X)))))
3.49/3.68	= { by lemma 9 }
3.49/3.68	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))))), meet(X, join(join(X, X), meet(meet(join(?, join(join(X, X), ?)), join(?, join(X, X))), join(X, X)))))
3.49/3.68	= { by lemma 10 }
3.49/3.68	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))))), meet(join(meet(?, join(join(meet(?, X), meet(X, ?)), X)), meet(X, join(?, join(join(meet(?, X), meet(X, ?)), X)))), join(join(X, X), meet(meet(join(?, join(join(X, X), ?)), join(?, join(X, X))), join(X, X)))))
3.49/3.68	= { by lemma 9 }
3.49/3.68	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(X, ?)), X)), meet(X, join(?, join(join(meet(?, X), meet(X, ?)), X)))), join(join(X, X), meet(meet(join(?, join(join(X, X), ?)), join(?, join(X, X))), join(X, X)))))
3.49/3.68	= { by lemma 9 }
3.49/3.68	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), X)), meet(X, join(?, join(join(meet(?, X), meet(X, ?)), X)))), join(join(X, X), meet(meet(join(?, join(join(X, X), ?)), join(?, join(X, X))), join(X, X)))))
3.49/3.68	= { by lemma 9 }
3.49/3.68	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, X), meet(X, ?)), X)))), join(join(X, X), meet(meet(join(?, join(join(X, X), ?)), join(?, join(X, X))), join(X, X)))))
3.49/3.68	= { by lemma 9 }
3.49/3.69	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(X, ?)), X)))), join(join(X, X), meet(meet(join(?, join(join(X, X), ?)), join(?, join(X, X))), join(X, X)))))
3.49/3.69	= { by lemma 9 }
3.49/3.69	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), X)))), join(join(X, X), meet(meet(join(?, join(join(X, X), ?)), join(?, join(X, X))), join(X, X)))))
3.49/3.69	= { by lemma 9 }
3.49/3.69	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(X, X), meet(meet(join(?, join(join(X, X), ?)), join(?, join(X, X))), join(X, X)))))
3.49/3.69	= { by lemma 12 }
3.49/3.69	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(X, X), join(X, X))))
3.49/3.69	= { by lemma 9 }
3.49/3.69	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(X, X), join(join(meet(?, X), meet(X, join(?, X))), X))))
3.49/3.69	= { by lemma 2 }
3.49/3.69	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), X))))
3.49/3.69	= { by lemma 10 }
3.49/3.69	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, X), meet(X, ?)), X)), meet(X, join(?, join(join(meet(?, X), meet(X, ?)), X))))))))
3.49/3.69	= { by lemma 9 }
3.49/3.70	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(X, ?)), X)), meet(X, join(?, join(join(meet(?, X), meet(X, ?)), X))))))))
3.49/3.70	= { by lemma 9 }
3.49/3.70	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), X)), meet(X, join(?, join(join(meet(?, X), meet(X, ?)), X))))))))
3.49/3.70	= { by lemma 9 }
3.49/3.70	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, X), meet(X, ?)), X))))))))
3.49/3.70	= { by lemma 9 }
3.49/3.70	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(X, ?)), X))))))))
3.49/3.70	= { by lemma 9 }
3.49/3.71	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), X))))))))
3.49/3.71	= { by lemma 9 }
3.49/3.71	  join(meet(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(X, X), join(join(meet(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))), meet(join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))))), join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), join(?, join(meet(?, X), meet(X, join(?, X)))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))), join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))))))
3.49/3.71	= { by lemma 10 }
3.49/3.71	  join(meet(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))
3.49/3.71	= { by lemma 9 }
3.49/3.71	  join(meet(?, join(join(meet(?, X), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))
3.49/3.71	= { by lemma 9 }
3.49/3.71	  join(meet(?, join(join(meet(?, X), meet(X, ?)), join(meet(?, X), meet(X, join(?, X))))), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))
3.49/3.71	= { by lemma 9 }
3.49/3.71	  join(meet(?, join(join(meet(?, X), meet(X, ?)), X)), meet(X, join(?, join(join(meet(?, join(meet(?, X), meet(X, join(?, X)))), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))
3.49/3.71	= { by lemma 9 }
3.49/3.71	  join(meet(?, join(join(meet(?, X), meet(X, ?)), X)), meet(X, join(?, join(join(meet(?, X), meet(join(meet(?, X), meet(X, join(?, X))), ?)), join(meet(?, X), meet(X, join(?, X)))))))
3.49/3.71	= { by lemma 9 }
3.49/3.71	  join(meet(?, join(join(meet(?, X), meet(X, ?)), X)), meet(X, join(?, join(join(meet(?, X), meet(X, ?)), join(meet(?, X), meet(X, join(?, X)))))))
3.49/3.71	= { by lemma 9 }
3.49/3.71	  join(meet(?, join(join(meet(?, X), meet(X, ?)), X)), meet(X, join(?, join(join(meet(?, X), meet(X, ?)), X))))
3.49/3.71	= { by lemma 10 }
3.49/3.71	  X
3.49/3.71	
3.49/3.71	Goal 1 (prove_normal_axioms_1): a = meet(a, a).
3.49/3.71	Proof:
3.49/3.71	  a
3.49/3.71	= { by lemma 5 }
3.49/3.71	  join(meet(a, a), meet(a, join(a, a)))
3.49/3.71	= { by lemma 13 }
3.49/3.71	  join(meet(a, a), meet(a, a))
3.49/3.71	= { by lemma 13 }
3.49/3.71	  meet(a, a)
3.49/3.71	% SZS output end Proof
3.49/3.71	
3.49/3.71	RESULT: Unsatisfiable (the axioms are contradictory).
3.49/3.71	EOF