TSTP Solution File: LAT015-1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : LAT015-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:27:07 EDT 2023
% Result : Unsatisfiable 17.71s 2.71s
% Output : Proof 48.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT015-1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.35 % Computer : n005.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 : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 06:28:38 EDT 2023
% 0.14/0.36 % CPUTime :
% 17.71/2.71 Command-line arguments: --no-flatten-goal
% 17.71/2.71
% 17.71/2.71 % SZS status Unsatisfiable
% 17.71/2.71
% 36.78/5.21 % SZS output start Proof
% 36.78/5.21 Take the following subset of the input axioms:
% 36.78/5.21 fof(prove_normal_axioms, negated_conjecture, meet(a, a)!=a | (meet(a, b)!=meet(b, a) | (meet(meet(a, b), c)!=meet(a, meet(b, c)) | (join(a, a)!=a | (join(a, b)!=join(b, a) | (join(join(a, b), c)!=join(a, join(b, c)) | (meet(a, join(a, b))!=a | join(a, meet(a, b))!=a))))))).
% 36.78/5.21 fof(single_axiom, axiom, ![X, Y, Z, X1, X2, X3, U]: join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Z), meet(join(meet(X, join(join(meet(X1, Y), meet(Y, X2)), Y)), meet(join(meet(Y, meet(meet(join(X1, join(Y, X2)), join(X3, Y)), Y)), meet(U, join(Y, meet(meet(join(X1, join(Y, X2)), join(X3, Y)), Y)))), join(X, join(join(meet(X1, Y), meet(Y, X2)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))=Y).
% 36.78/5.21
% 36.78/5.21 Now clausify the problem and encode Horn clauses using encoding 3 of
% 36.78/5.21 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 36.78/5.21 We repeatedly replace C & s=t => u=v by the two clauses:
% 36.78/5.21 fresh(y, y, x1...xn) = u
% 36.78/5.21 C => fresh(s, t, x1...xn) = v
% 36.78/5.21 where fresh is a fresh function symbol and x1..xn are the free
% 36.78/5.21 variables of u and v.
% 36.78/5.21 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 36.78/5.21 input problem has no model of domain size 1).
% 36.78/5.21
% 36.78/5.21 The encoding turns the above axioms into the following unit equations and goals:
% 36.78/5.21
% 36.78/5.22 Axiom 1 (single_axiom): join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Z), meet(join(meet(X, join(join(meet(W, Y), meet(Y, V)), Y)), meet(join(meet(Y, meet(meet(join(W, join(Y, V)), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(W, join(Y, V)), join(U, Y)), Y)))), join(X, join(join(meet(W, Y), meet(Y, V)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z))) = Y.
% 36.78/5.22
% 36.78/5.22 Lemma 2: join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), W), meet(join(meet(X, join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), W))) = join(meet(Y, Z), meet(Z, join(Y, Z))).
% 36.78/5.22 Proof:
% 36.78/5.22 join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), W), meet(join(meet(X, join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 36.78/5.22 = { by axiom 1 (single_axiom) R->L }
% 36.78/5.22 join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), W), meet(join(meet(X, join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), meet(meet(join(V, join(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(T, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(join(meet(Y, join(join(meet(S, Z), meet(Z, X2)), Z)), meet(join(meet(Z, meet(meet(join(S, join(Z, X2)), join(Y2, Z)), Z)), meet(Z2, join(Z, meet(meet(join(S, join(Z, X2)), join(Y2, Z)), Z)))), join(Y, join(join(meet(S, Z), meet(Z, X2)), Z)))), join(join(meet(Y, Z), meet(Z, join(Y, Z))), meet(meet(join(V, join(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(T, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(X, join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 36.78/5.22 = { by axiom 1 (single_axiom) }
% 36.78/5.23 join(meet(Y, Z), meet(Z, join(Y, Z)))
% 36.78/5.23
% 36.78/5.23 Lemma 3: join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W))) = join(meet(Y, Z), meet(Z, join(Y, Z))).
% 36.78/5.23 Proof:
% 36.78/5.23 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 36.78/5.23 = { by lemma 2 R->L }
% 36.78/5.23 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 36.78/5.25 = { by lemma 2 R->L }
% 36.78/5.25 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 36.78/5.26 = { by lemma 2 R->L }
% 36.78/5.27 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 38.12/5.29 = { by lemma 2 R->L }
% 38.12/5.30 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 38.12/5.32 = { by lemma 2 R->L }
% 38.12/5.33 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 38.12/5.35 = { by lemma 2 R->L }
% 38.12/5.36 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 38.94/5.40 = { by lemma 2 R->L }
% 39.15/5.41 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 39.36/5.44 = { by lemma 2 R->L }
% 39.36/5.45 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 39.36/5.50 = { by lemma 2 R->L }
% 39.36/5.51 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 39.36/5.52 = { by lemma 2 R->L }
% 40.14/5.53 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 40.14/5.54 = { by lemma 2 R->L }
% 40.14/5.56 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 40.14/5.56 = { by lemma 2 R->L }
% 40.14/5.59 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W)))
% 40.14/5.59 = { by lemma 2 R->L }
% 40.71/5.62 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W)))
% 40.71/5.62 = { by lemma 2 }
% 40.71/5.62 join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))
% 40.71/5.62 = { by lemma 2 }
% 40.71/5.63 join(meet(Y, Z), meet(Z, join(Y, Z)))
% 40.71/5.63
% 40.71/5.63 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))).
% 40.71/5.63 Proof:
% 40.71/5.63 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)))
% 40.71/5.63 = { by lemma 3 R->L }
% 40.71/5.63 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(join(meet(join(meet(W, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(W, 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(W, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(W, 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(W, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(W, 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(W, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(W, 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)))
% 40.71/5.63 = { by lemma 3 R->L }
% 40.71/5.63 join(meet(join(meet(join(meet(join(meet(W, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(W, 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(W, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(W, 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(W, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(W, 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(W, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(W, 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(W, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(W, 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(W, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(W, 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(W, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(W, 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(W, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(W, 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)))
% 40.71/5.63 = { by lemma 3 }
% 40.71/5.64 join(meet(X, Y), meet(Y, join(X, Y)))
% 40.71/5.64
% 40.71/5.64 Lemma 5: join(meet(X, Y), meet(X, join(X, Y))) = X.
% 40.71/5.64 Proof:
% 40.71/5.64 join(meet(X, Y), meet(X, join(X, Y)))
% 40.71/5.64 = { by axiom 1 (single_axiom) R->L }
% 40.71/5.64 join(meet(X, Y), meet(join(meet(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, 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(Z, join(join(meet(W, X), meet(X, V)), X))))), meet(join(meet(Z, 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(Z, join(join(meet(W, X), meet(X, V)), X)))), join(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, 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(Z, join(join(meet(W, X), meet(X, V)), X))))))), join(X, Y)))
% 40.71/5.64 = { by axiom 1 (single_axiom) R->L }
% 40.71/5.64 join(meet(X, Y), meet(join(meet(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, 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(Z, join(join(meet(W, X), meet(X, V)), X))))), meet(join(meet(Z, 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(Z, join(join(meet(W, X), meet(X, V)), X)))), join(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, 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(Z, join(join(meet(W, X), meet(X, V)), X))))))), join(join(meet(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, 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(Z, join(join(meet(W, X), meet(X, V)), X))))), meet(join(meet(Z, 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(Z, join(join(meet(W, X), meet(X, V)), X)))), join(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, 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(Z, join(join(meet(W, X), meet(X, V)), X))))))), Y)))
% 40.71/5.64 = { by axiom 1 (single_axiom) R->L }
% 40.71/5.64 join(meet(join(meet(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, 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(Z, join(join(meet(W, X), meet(X, V)), X))))), meet(join(meet(Z, 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(Z, join(join(meet(W, X), meet(X, V)), X)))), join(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, 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(Z, join(join(meet(W, X), meet(X, V)), X))))))), Y), meet(join(meet(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, 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(Z, join(join(meet(W, X), meet(X, V)), X))))), meet(join(meet(Z, 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(Z, join(join(meet(W, X), meet(X, V)), X)))), join(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, 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(Z, join(join(meet(W, X), meet(X, V)), X))))))), join(join(meet(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, 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(Z, join(join(meet(W, X), meet(X, V)), X))))), meet(join(meet(Z, 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(Z, join(join(meet(W, X), meet(X, V)), X)))), join(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, 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(Z, join(join(meet(W, X), meet(X, V)), X))))))), Y)))
% 40.71/5.64 = { by lemma 4 }
% 40.71/5.65 join(meet(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, 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(Z, join(join(meet(W, X), meet(X, V)), X))))), meet(join(meet(Z, 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(Z, join(join(meet(W, X), meet(X, V)), X)))), join(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, 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(Z, join(join(meet(W, X), meet(X, V)), X)))))))
% 40.71/5.65 = { by axiom 1 (single_axiom) }
% 40.71/5.65 X
% 40.71/5.65
% 40.71/5.65 Lemma 6: 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)))))), Z), 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)))))), Z))) = join(meet(Y, X), meet(X, join(Y, X))).
% 40.71/5.65 Proof:
% 40.71/5.65 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)))))), Z), 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)))))), Z)))
% 40.71/5.65 = { by lemma 5 R->L }
% 40.71/5.65 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)))))), Z), meet(join(meet(X, join(join(meet(W, join(meet(Y, X), meet(X, join(Y, X)))), meet(join(meet(Y, X), meet(X, join(Y, X))), V)), join(meet(Y, X), meet(X, join(Y, X))))), meet(X, join(X, join(join(meet(W, join(meet(Y, X), meet(X, join(Y, X)))), meet(join(meet(Y, X), meet(X, join(Y, X))), V)), join(meet(Y, X), meet(X, join(Y, 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)))))), Z)))
% 40.71/5.65 = { by lemma 2 }
% 40.71/5.66 join(meet(Y, X), meet(X, join(Y, X)))
% 40.71/5.67
% 40.71/5.67 Lemma 7: join(meet(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z), meet(Y, join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z))) = Y.
% 40.71/5.67 Proof:
% 40.71/5.67 join(meet(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z), meet(Y, join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 41.31/5.67 = { by axiom 1 (single_axiom) R->L }
% 41.31/5.68 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z), meet(Y, join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 41.31/5.69 = { by axiom 1 (single_axiom) R->L }
% 41.31/5.69 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z), meet(Y, join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 41.54/5.71 = { by axiom 1 (single_axiom) R->L }
% 41.54/5.71 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z), meet(Y, join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 41.54/5.72 = { by axiom 1 (single_axiom) R->L }
% 41.73/5.72 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z), meet(Y, join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 41.73/5.74 = { by axiom 1 (single_axiom) R->L }
% 41.73/5.74 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(Y, join(X, Y))), Y))), Z), meet(Y, join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 41.73/5.76 = { by axiom 1 (single_axiom) R->L }
% 41.73/5.76 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, 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join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, Y))), Y))), Z), meet(Y, join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 41.73/5.78 = { by axiom 1 (single_axiom) R->L }
% 41.73/5.78 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), Y))), Z), meet(Y, join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 41.73/5.80 = { by axiom 1 (single_axiom) R->L }
% 41.73/5.81 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, 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join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, 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meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), Z), meet(Y, join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 41.73/5.86 = { by axiom 1 (single_axiom) R->L }
% 41.73/5.88 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, 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meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 41.73/5.93 = { by axiom 1 (single_axiom) R->L }
% 41.73/5.96 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, 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join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, 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meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 43.20/5.99 = { by axiom 1 (single_axiom) R->L }
% 43.20/6.01 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, 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Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, 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% 44.14/6.05 = { by axiom 1 (single_axiom) R->L }
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meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 44.14/6.09 = { by axiom 1 (single_axiom) R->L }
% 44.14/6.10 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), Z), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 44.72/6.14 = { by axiom 1 (single_axiom) R->L }
% 44.72/6.15 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, 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% 45.15/6.19 = { by axiom 1 (single_axiom) R->L }
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Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, 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% 45.15/6.22 = { by axiom 1 (single_axiom) R->L }
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% 45.15/6.24 = { by axiom 1 (single_axiom) R->L }
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Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), Y))), Z)))
% 45.80/6.26 = { by axiom 1 (single_axiom) R->L }
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% 45.99/6.28 = { by axiom 1 (single_axiom) R->L }
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join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), Z)))
% 45.99/6.30 = { by lemma 3 }
% 45.99/6.30 join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))
% 45.99/6.31 = { by axiom 1 (single_axiom) }
% 45.99/6.31 Y
% 45.99/6.31
% 45.99/6.31 Lemma 8: join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Z), meet(join(meet(X, join(join(meet(W, Y), meet(Y, V)), Y)), meet(Y, join(X, join(join(meet(W, Y), meet(Y, V)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z))) = Y.
% 45.99/6.31 Proof:
% 45.99/6.31 join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Z), meet(join(meet(X, join(join(meet(W, Y), meet(Y, V)), Y)), meet(Y, join(X, join(join(meet(W, Y), meet(Y, V)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 45.99/6.31 = { by lemma 7 R->L }
% 45.99/6.31 join(meet(join(meet(X, Y), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), join(X, Y))), Z), meet(join(meet(X, join(join(meet(W, Y), meet(Y, V)), Y)), meet(Y, join(X, join(join(meet(W, Y), meet(Y, V)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 45.99/6.32 = { by lemma 7 R->L }
% 45.99/6.32 join(meet(join(meet(X, Y), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), join(X, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))))), Z), meet(join(meet(X, join(join(meet(W, Y), meet(Y, V)), Y)), meet(Y, join(X, join(join(meet(W, Y), meet(Y, V)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 45.99/6.32 = { by lemma 7 R->L }
% 45.99/6.32 join(meet(join(meet(X, Y), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), join(X, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))))), Z), meet(join(meet(X, join(join(meet(W, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(Y, V)), Y)), meet(Y, join(X, join(join(meet(W, Y), meet(Y, V)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 46.37/6.33 = { by lemma 7 R->L }
% 46.37/6.33 join(meet(join(meet(X, Y), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), join(X, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))))), Z), meet(join(meet(X, join(join(meet(W, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), V)), Y)), meet(Y, join(X, join(join(meet(W, Y), meet(Y, V)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 46.37/6.33 = { by lemma 7 R->L }
% 46.37/6.33 join(meet(join(meet(X, Y), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), join(X, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))))), Z), meet(join(meet(X, join(join(meet(W, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), V)), join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))))), meet(Y, join(X, join(join(meet(W, Y), meet(Y, V)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 46.37/6.34 = { by lemma 7 R->L }
% 46.52/6.34 join(meet(join(meet(X, Y), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), join(X, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))))), Z), meet(join(meet(X, join(join(meet(W, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), V)), join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))))), meet(Y, join(X, join(join(meet(W, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(Y, V)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 46.52/6.35 = { by lemma 7 R->L }
% 46.52/6.35 join(meet(join(meet(X, Y), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), join(X, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))))), Z), meet(join(meet(X, join(join(meet(W, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), V)), join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))))), meet(Y, join(X, join(join(meet(W, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), V)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 46.52/6.36 = { by lemma 7 R->L }
% 46.52/6.36 join(meet(join(meet(X, Y), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), join(X, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))))), Z), meet(join(meet(X, join(join(meet(W, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), V)), join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))))), meet(Y, join(X, join(join(meet(W, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), V)), join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))))))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 46.52/6.37 = { by lemma 7 R->L }
% 46.52/6.37 join(meet(join(meet(X, Y), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), join(X, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))))), Z), meet(join(meet(X, join(join(meet(W, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), V)), join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))))), meet(Y, join(X, join(join(meet(W, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), V)), join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))))))), join(join(meet(X, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(Y, join(X, Y))), Z)))
% 46.52/6.37 = { by lemma 7 R->L }
% 46.52/6.38 join(meet(join(meet(X, Y), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), join(X, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))))), Z), meet(join(meet(X, join(join(meet(W, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), V)), join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))))), meet(Y, join(X, join(join(meet(W, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), V)), join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))))))), join(join(meet(X, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), join(X, Y))), Z)))
% 46.52/6.38 = { by lemma 7 R->L }
% 46.52/6.38 join(meet(join(meet(X, Y), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), join(X, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))))), Z), meet(join(meet(X, join(join(meet(W, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), V)), join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))))), meet(Y, join(X, join(join(meet(W, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), V)), join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))))))), join(join(meet(X, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), join(X, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))))), Z)))
% 46.52/6.38 = { by lemma 7 R->L }
% 46.52/6.39 join(meet(join(meet(X, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), join(X, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))))), Z), meet(join(meet(X, join(join(meet(W, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), V)), join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))))), meet(Y, join(X, join(join(meet(W, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), V)), join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))))))), join(join(meet(X, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), join(X, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))))), Z)))
% 46.52/6.39 = { by lemma 2 }
% 46.52/6.39 join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))
% 46.52/6.39 = { by lemma 7 }
% 46.52/6.39 Y
% 46.52/6.39
% 46.52/6.39 Lemma 9: join(meet(X, Y), meet(Y, join(X, Y))) = Y.
% 46.52/6.39 Proof:
% 46.52/6.39 join(meet(X, Y), meet(Y, join(X, Y)))
% 46.52/6.39 = { by lemma 4 R->L }
% 46.52/6.39 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)))
% 46.52/6.39 = { by lemma 6 R->L }
% 46.52/6.39 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(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)))))), Y), 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)))))), Y))), Z)))
% 46.52/6.39 = { by lemma 6 R->L }
% 46.52/6.39 join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Z), meet(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)))))), join(join(meet(W, Y), meet(Y, V)), Y)), 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)))))), join(join(meet(W, Y), meet(Y, V)), Y)))), join(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)))))), Y), 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)))))), Y))), Z)))
% 46.52/6.39 = { by lemma 6 R->L }
% 46.52/6.39 join(meet(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)))))), Y), 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)))))), Y))), Z), meet(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)))))), join(join(meet(W, Y), meet(Y, V)), Y)), 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)))))), join(join(meet(W, Y), meet(Y, V)), Y)))), join(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)))))), Y), 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)))))), Y))), Z)))
% 46.52/6.39 = { by lemma 8 }
% 46.52/6.40 Y
% 46.52/6.40
% 46.52/6.40 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.
% 46.52/6.40 Proof:
% 46.52/6.40 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))))
% 46.52/6.40 = { by lemma 8 R->L }
% 46.52/6.40 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))))))), V), meet(join(meet(join(meet(X, Z), meet(Z, join(X, Z))), join(join(meet(U, 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)))), T)), 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(U, 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)))), T)), 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))))))), V)))
% 46.52/6.40 = { by lemma 8 }
% 46.52/6.40 join(meet(Z, V), meet(join(meet(join(meet(X, Z), meet(Z, join(X, Z))), join(join(meet(U, 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)))), T)), 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(U, 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)))), T)), 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))))))), V)))
% 46.52/6.40 = { by lemma 8 }
% 46.52/6.40 join(meet(Z, V), 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))))))), V)))
% 46.52/6.40 = { by lemma 8 }
% 46.52/6.40 join(meet(Z, V), meet(Z, join(Z, V)))
% 46.52/6.40 = { by lemma 5 }
% 46.52/6.40 Z
% 46.52/6.40
% 46.52/6.40 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.
% 46.52/6.40 Proof:
% 46.52/6.40 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))))
% 46.52/6.41 = { by lemma 10 R->L }
% 46.52/6.41 join(meet(X, join(join(meet(U, 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)))), T)), 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(U, 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)))), T)), 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))))))))
% 46.52/6.41 = { by lemma 5 R->L }
% 46.52/6.41 join(meet(X, join(join(meet(U, 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)))), T)), 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(U, 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)))), T)), 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))))))))
% 46.52/6.41 = { by lemma 9 R->L }
% 46.52/6.41 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(U, 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)))), T)), 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(U, 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)))), T)), 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))))))))
% 46.52/6.41 = { by lemma 9 R->L }
% 46.52/6.41 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(U, 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)))), T)), 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(U, 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)))), T)), 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))))))))
% 46.52/6.41 = { by axiom 1 (single_axiom) }
% 46.52/6.41 X
% 46.52/6.41
% 46.52/6.41 Lemma 12: meet(meet(join(X, join(Y, Z)), join(W, Y)), Y) = Y.
% 46.52/6.41 Proof:
% 46.52/6.41 meet(meet(join(X, join(Y, Z)), join(W, Y)), Y)
% 46.52/6.41 = { by lemma 9 R->L }
% 46.52/6.41 join(meet(Y, meet(meet(join(X, join(Y, Z)), join(W, Y)), Y)), meet(meet(meet(join(X, join(Y, Z)), join(W, Y)), Y), join(Y, meet(meet(join(X, join(Y, Z)), join(W, Y)), Y))))
% 46.52/6.41 = { by lemma 11 }
% 46.52/6.41 Y
% 46.52/6.41
% 46.52/6.41 Lemma 13: join(meet(X, X), meet(Y, join(X, X))) = X.
% 46.52/6.41 Proof:
% 46.52/6.41 join(meet(X, X), meet(Y, join(X, X)))
% 46.52/6.41 = { by lemma 12 R->L }
% 46.52/6.41 join(meet(X, X), meet(Y, join(X, meet(meet(join(Z, join(X, W)), join(V, X)), X))))
% 46.52/6.41 = { by lemma 12 R->L }
% 46.52/6.41 join(meet(X, meet(meet(join(Z, join(X, W)), join(V, X)), X)), meet(Y, join(X, meet(meet(join(Z, join(X, W)), join(V, X)), X))))
% 46.52/6.41 = { by lemma 11 }
% 47.13/6.42 X
% 47.13/6.42
% 47.13/6.42 Lemma 14: join(X, X) = X.
% 47.13/6.42 Proof:
% 47.13/6.42 join(X, X)
% 47.13/6.42 = { by lemma 13 R->L }
% 47.13/6.42 join(meet(join(X, X), join(X, X)), meet(X, join(join(X, X), join(X, X))))
% 47.13/6.42 = { by lemma 9 R->L }
% 47.13/6.42 join(meet(join(X, X), join(X, X)), meet(X, join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), X), meet(X, join(join(meet(Y, X), meet(X, join(Y, X))), X))), X))))
% 47.13/6.42 = { by lemma 10 R->L }
% 47.13/6.42 join(meet(join(X, X), join(X, join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))))), meet(X, join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), X), meet(X, join(join(meet(Y, X), meet(X, join(Y, X))), X))), X))))
% 47.13/6.43 = { by lemma 10 R->L }
% 47.13/6.43 join(meet(join(X, X), join(X, join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), X), meet(X, join(join(meet(Y, X), meet(X, join(Y, X))), X))), X))))
% 47.13/6.43 = { by lemma 10 R->L }
% 47.13/6.43 join(meet(join(X, X), join(X, join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(X, join(join(meet(Y, X), meet(X, join(Y, X))), X))), X))))
% 47.13/6.43 = { by lemma 10 R->L }
% 47.13/6.43 join(meet(join(X, X), join(X, join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), X))), X))))
% 47.13/6.43 = { by lemma 10 R->L }
% 47.13/6.43 join(meet(join(X, X), join(X, join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), X))))
% 47.13/6.43 = { by lemma 10 R->L }
% 47.13/6.43 join(meet(join(X, X), join(X, join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.13/6.43 = { by lemma 9 R->L }
% 47.13/6.43 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.13/6.43 = { by lemma 9 R->L }
% 47.13/6.43 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.13/6.43 = { by lemma 9 R->L }
% 47.13/6.43 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.13/6.43 = { by lemma 9 R->L }
% 47.13/6.43 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.13/6.44 = { by lemma 9 R->L }
% 47.13/6.44 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(X, W)), X)))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.13/6.44 = { by lemma 9 R->L }
% 47.13/6.44 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), X)))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.13/6.44 = { by lemma 9 R->L }
% 47.13/6.44 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.13/6.44 = { by lemma 9 R->L }
% 47.13/6.44 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.13/6.44 = { by lemma 9 R->L }
% 47.13/6.44 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.13/6.45 = { by lemma 9 R->L }
% 47.13/6.45 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.13/6.45 = { by lemma 9 R->L }
% 47.13/6.45 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.13/6.45 = { by lemma 9 R->L }
% 47.13/6.45 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.13/6.45 = { by lemma 9 R->L }
% 47.13/6.45 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.13/6.45 = { by lemma 9 R->L }
% 47.13/6.45 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.13/6.46 = { by lemma 9 R->L }
% 47.13/6.46 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.13/6.46 = { by lemma 9 R->L }
% 47.13/6.46 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.13/6.46 = { by lemma 9 R->L }
% 47.13/6.46 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.13/6.46 = { by lemma 9 R->L }
% 47.13/6.46 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.13/6.46 = { by lemma 9 R->L }
% 47.13/6.47 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.13/6.47 = { by lemma 9 R->L }
% 47.13/6.47 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.55/6.47 = { by lemma 9 R->L }
% 47.55/6.47 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.55/6.47 = { by lemma 9 R->L }
% 47.55/6.47 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.55/6.48 = { by lemma 9 R->L }
% 47.55/6.48 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.55/6.48 = { by lemma 9 R->L }
% 47.55/6.48 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.55/6.48 = { by lemma 9 R->L }
% 47.55/6.48 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.55/6.49 = { by lemma 9 R->L }
% 47.55/6.49 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.55/6.49 = { by lemma 9 R->L }
% 47.55/6.49 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.55/6.49 = { by lemma 9 R->L }
% 47.55/6.49 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.55/6.50 = { by lemma 9 R->L }
% 47.55/6.50 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.55/6.50 = { by lemma 9 R->L }
% 47.55/6.50 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.55/6.51 = { by lemma 9 R->L }
% 47.55/6.51 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.55/6.51 = { by lemma 9 R->L }
% 47.55/6.51 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.55/6.52 = { by lemma 9 R->L }
% 47.55/6.52 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.55/6.52 = { by lemma 9 R->L }
% 47.55/6.52 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.55/6.53 = { by lemma 9 R->L }
% 47.55/6.53 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.55/6.53 = { by lemma 9 R->L }
% 47.55/6.53 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.55/6.53 = { by lemma 9 R->L }
% 47.55/6.54 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.55/6.54 = { by lemma 9 R->L }
% 47.55/6.54 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 47.55/6.55 = { by lemma 9 R->L }
% 47.55/6.55 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 48.20/6.55 = { by lemma 9 R->L }
% 48.20/6.55 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 48.20/6.56 = { by lemma 9 R->L }
% 48.20/6.56 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(X, W)), X))))))))
% 48.20/6.56 = { by lemma 9 R->L }
% 48.20/6.56 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), X))))))))
% 48.20/6.56 = { by lemma 9 R->L }
% 48.20/6.56 join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))))))
% 48.20/6.56 = { by lemma 2 R->L }
% 48.20/6.57 join(meet(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))))))
% 48.20/6.57 = { by lemma 10 }
% 48.20/6.57 join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))
% 48.20/6.57 = { by lemma 9 }
% 48.20/6.57 join(meet(Y, join(join(meet(Z, X), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))
% 48.20/6.57 = { by lemma 9 }
% 48.20/6.57 join(meet(Y, join(join(meet(Z, X), meet(X, W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))
% 48.20/6.57 = { by lemma 9 }
% 48.20/6.57 join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))
% 48.20/6.57 = { by lemma 9 }
% 48.20/6.57 join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))
% 48.20/6.57 = { by lemma 9 }
% 48.20/6.57 join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), join(meet(V, X), meet(X, join(V, X)))))))
% 48.20/6.57 = { by lemma 9 }
% 48.20/6.57 join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))
% 48.20/6.57 = { by lemma 10 }
% 48.20/6.57 X
% 48.20/6.57
% 48.20/6.57 Lemma 15: meet(X, X) = X.
% 48.20/6.57 Proof:
% 48.20/6.57 meet(X, X)
% 48.20/6.57 = { by lemma 14 R->L }
% 48.20/6.57 join(meet(X, X), meet(X, X))
% 48.20/6.57 = { by lemma 14 R->L }
% 48.20/6.57 join(meet(X, X), meet(X, join(X, X)))
% 48.20/6.57 = { by lemma 5 }
% 48.20/6.57 X
% 48.20/6.57
% 48.20/6.57 Lemma 16: join(join(meet(X, Y), meet(Y, Z)), Y) = Y.
% 48.20/6.57 Proof:
% 48.20/6.57 join(join(meet(X, Y), meet(Y, Z)), Y)
% 48.20/6.57 = { by lemma 13 R->L }
% 48.20/6.57 join(meet(join(join(meet(X, Y), meet(Y, Z)), Y), join(join(meet(X, Y), meet(Y, Z)), Y)), meet(Y, join(join(join(meet(X, Y), meet(Y, Z)), Y), join(join(meet(X, Y), meet(Y, Z)), Y))))
% 48.20/6.57 = { by lemma 10 }
% 48.20/6.57 Y
% 48.20/6.57
% 48.20/6.57 Lemma 17: join(join(X, meet(X, Y)), X) = X.
% 48.20/6.57 Proof:
% 48.20/6.57 join(join(X, meet(X, Y)), X)
% 48.20/6.57 = { by lemma 12 R->L }
% 48.20/6.57 join(join(meet(meet(join(Z, join(X, W)), join(V, X)), X), meet(X, Y)), X)
% 48.20/6.57 = { by lemma 16 }
% 48.20/6.57 X
% 48.20/6.57
% 48.20/6.57 Lemma 18: join(X, meet(Y, X)) = X.
% 48.20/6.57 Proof:
% 48.20/6.57 join(X, meet(Y, X))
% 48.20/6.57 = { by lemma 14 R->L }
% 48.20/6.57 join(X, meet(Y, join(X, X)))
% 48.20/6.57 = { by lemma 15 R->L }
% 48.20/6.57 join(meet(X, X), meet(Y, join(X, X)))
% 48.20/6.57 = { by lemma 13 }
% 48.20/6.57 X
% 48.20/6.57
% 48.20/6.57 Lemma 19: meet(meet(X, Y), Y) = meet(X, Y).
% 48.20/6.57 Proof:
% 48.20/6.57 meet(meet(X, Y), Y)
% 48.20/6.57 = { by lemma 14 R->L }
% 48.20/6.57 join(meet(meet(X, Y), Y), meet(meet(X, Y), Y))
% 48.20/6.57 = { by lemma 16 R->L }
% 48.20/6.57 join(meet(meet(X, Y), Y), meet(meet(X, Y), join(join(meet(X, Y), meet(Y, meet(X, Y))), Y)))
% 48.20/6.57 = { by lemma 18 }
% 48.20/6.57 join(meet(meet(X, Y), Y), meet(meet(X, Y), join(meet(X, Y), Y)))
% 48.20/6.57 = { by lemma 5 }
% 48.20/6.57 meet(X, Y)
% 48.20/6.57
% 48.20/6.57 Lemma 20: join(meet(X, X), join(X, X)) = X.
% 48.20/6.57 Proof:
% 48.20/6.57 join(meet(X, X), join(X, X))
% 48.20/6.57 = { by lemma 12 R->L }
% 48.20/6.57 join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), join(X, X))
% 48.20/6.57 = { by lemma 12 R->L }
% 48.20/6.57 join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))
% 48.20/6.57 = { by lemma 12 R->L }
% 48.20/6.57 join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(meet(join(V, join(join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), U)), join(T, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X))))
% 48.20/6.57 = { by lemma 11 }
% 48.20/6.57 X
% 48.20/6.57
% 48.20/6.57 Lemma 21: meet(meet(join(X, Y), join(Z, X)), X) = X.
% 48.20/6.57 Proof:
% 48.20/6.57 meet(meet(join(X, Y), join(Z, X)), X)
% 48.20/6.57 = { by lemma 14 R->L }
% 48.20/6.57 meet(meet(join(join(X, Y), join(X, Y)), join(Z, X)), X)
% 48.20/6.57 = { by lemma 12 }
% 48.20/6.57 X
% 48.20/6.57
% 48.20/6.57 Lemma 22: meet(join(X, Y), X) = X.
% 48.20/6.57 Proof:
% 48.20/6.57 meet(join(X, Y), X)
% 48.20/6.57 = { by lemma 19 R->L }
% 48.20/6.57 meet(meet(join(X, Y), X), X)
% 48.20/6.57 = { by lemma 14 R->L }
% 48.20/6.57 meet(meet(join(join(X, X), Y), X), X)
% 48.20/6.57 = { by lemma 14 R->L }
% 48.20/6.57 meet(meet(join(join(X, X), Y), X), join(X, X))
% 48.20/6.57 = { by lemma 20 R->L }
% 48.20/6.57 meet(meet(join(join(X, X), Y), join(meet(X, X), join(X, X))), join(X, X))
% 48.20/6.57 = { by lemma 21 }
% 48.20/6.57 join(X, X)
% 48.20/6.57 = { by lemma 14 }
% 48.20/6.57 X
% 48.20/6.57
% 48.20/6.57 Lemma 23: join(X, meet(X, Y)) = X.
% 48.20/6.57 Proof:
% 48.20/6.57 join(X, meet(X, Y))
% 48.20/6.57 = { by lemma 5 R->L }
% 48.20/6.57 join(meet(join(X, meet(X, Y)), X), meet(join(X, meet(X, Y)), join(join(X, meet(X, Y)), X)))
% 48.20/6.57 = { by lemma 17 }
% 48.20/6.57 join(meet(join(X, meet(X, Y)), X), meet(join(X, meet(X, Y)), X))
% 48.20/6.57 = { by lemma 14 }
% 48.20/6.57 meet(join(X, meet(X, Y)), X)
% 48.20/6.57 = { by lemma 22 }
% 48.20/6.57 X
% 48.20/6.57
% 48.20/6.57 Lemma 24: meet(meet(X, Y), meet(Y, X)) = meet(Y, X).
% 48.20/6.57 Proof:
% 48.20/6.57 meet(meet(X, Y), meet(Y, X))
% 48.20/6.57 = { by lemma 23 R->L }
% 48.20/6.57 meet(meet(X, join(Y, meet(Y, X))), meet(Y, X))
% 48.20/6.57 = { by lemma 16 R->L }
% 48.20/6.57 meet(meet(X, join(Y, meet(Y, join(join(meet(Z, X), meet(X, W)), X)))), meet(Y, X))
% 48.20/6.57 = { by lemma 16 R->L }
% 48.20/6.57 meet(meet(X, join(Y, meet(Y, join(join(meet(Z, X), meet(X, W)), X)))), meet(Y, join(join(meet(Z, X), meet(X, W)), X)))
% 48.20/6.57 = { by lemma 10 R->L }
% 48.20/6.57 meet(meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(Y, meet(Y, join(join(meet(Z, X), meet(X, W)), X)))), meet(Y, join(join(meet(Z, X), meet(X, W)), X)))
% 48.20/6.57 = { by lemma 21 }
% 48.20/6.57 meet(Y, join(join(meet(Z, X), meet(X, W)), X))
% 48.20/6.57 = { by lemma 16 }
% 48.20/6.57 meet(Y, X)
% 48.20/6.57
% 48.20/6.57 Lemma 25: meet(X, meet(X, Y)) = meet(X, Y).
% 48.20/6.57 Proof:
% 48.20/6.57 meet(X, meet(X, Y))
% 48.20/6.57 = { by lemma 5 R->L }
% 48.20/6.57 meet(join(meet(X, Y), meet(X, join(X, Y))), meet(X, Y))
% 48.20/6.57 = { by lemma 22 }
% 48.20/6.57 meet(X, Y)
% 48.20/6.57
% 48.20/6.57 Lemma 26: join(meet(meet(X, Y), meet(X, join(X, Y))), meet(meet(X, Y), X)) = meet(X, Y).
% 48.20/6.57 Proof:
% 48.20/6.57 join(meet(meet(X, Y), meet(X, join(X, Y))), meet(meet(X, Y), X))
% 48.20/6.57 = { by lemma 5 R->L }
% 48.20/6.57 join(meet(meet(X, Y), meet(X, join(X, Y))), meet(meet(X, Y), join(meet(X, Y), meet(X, join(X, Y)))))
% 48.20/6.57 = { by lemma 5 }
% 48.20/6.57 meet(X, Y)
% 48.20/6.57
% 48.20/6.58 Lemma 27: meet(X, Y) = meet(Y, X).
% 48.20/6.58 Proof:
% 48.20/6.58 meet(X, Y)
% 48.20/6.58 = { by lemma 24 R->L }
% 48.20/6.58 meet(meet(Y, X), meet(X, Y))
% 48.20/6.58 = { by lemma 25 R->L }
% 48.20/6.58 meet(meet(Y, X), meet(meet(Y, X), meet(X, Y)))
% 48.20/6.58 = { by lemma 26 R->L }
% 48.20/6.58 join(meet(meet(meet(Y, X), meet(meet(Y, X), meet(X, Y))), meet(meet(Y, X), join(meet(Y, X), meet(meet(Y, X), meet(X, Y))))), meet(meet(meet(Y, X), meet(meet(Y, X), meet(X, Y))), meet(Y, X)))
% 48.20/6.58 = { by lemma 25 }
% 48.20/6.58 join(meet(meet(meet(Y, X), meet(X, Y)), meet(meet(Y, X), join(meet(Y, X), meet(meet(Y, X), meet(X, Y))))), meet(meet(meet(Y, X), meet(meet(Y, X), meet(X, Y))), meet(Y, X)))
% 48.20/6.58 = { by lemma 23 }
% 48.20/6.58 join(meet(meet(meet(Y, X), meet(X, Y)), meet(meet(Y, X), meet(Y, X))), meet(meet(meet(Y, X), meet(meet(Y, X), meet(X, Y))), meet(Y, X)))
% 48.20/6.58 = { by lemma 15 }
% 48.20/6.58 join(meet(meet(meet(Y, X), meet(X, Y)), meet(Y, X)), meet(meet(meet(Y, X), meet(meet(Y, X), meet(X, Y))), meet(Y, X)))
% 48.20/6.58 = { by lemma 25 }
% 48.20/6.59 join(meet(meet(meet(Y, X), meet(X, Y)), meet(Y, X)), meet(meet(meet(Y, X), meet(X, Y)), meet(Y, X)))
% 48.20/6.59 = { by lemma 14 }
% 48.20/6.59 meet(meet(meet(Y, X), meet(X, Y)), meet(Y, X))
% 48.20/6.59 = { by lemma 24 }
% 48.20/6.59 meet(meet(X, Y), meet(Y, X))
% 48.20/6.59 = { by lemma 24 }
% 48.20/6.59 meet(Y, X)
% 48.20/6.59
% 48.20/6.59 Lemma 28: meet(X, join(Y, X)) = X.
% 48.20/6.59 Proof:
% 48.20/6.59 meet(X, join(Y, X))
% 48.20/6.59 = { by lemma 5 R->L }
% 48.20/6.59 join(meet(meet(X, join(Y, X)), meet(meet(X, join(Y, X)), X)), meet(meet(X, join(Y, X)), join(meet(X, join(Y, X)), meet(meet(X, join(Y, X)), X))))
% 48.20/6.59 = { by lemma 25 }
% 48.20/6.59 join(meet(meet(X, join(Y, X)), X), meet(meet(X, join(Y, X)), join(meet(X, join(Y, X)), meet(meet(X, join(Y, X)), X))))
% 48.20/6.59 = { by lemma 23 }
% 48.20/6.59 join(meet(meet(X, join(Y, X)), X), meet(meet(X, join(Y, X)), meet(X, join(Y, X))))
% 48.20/6.59 = { by lemma 15 }
% 48.20/6.59 join(meet(meet(X, join(Y, X)), X), meet(X, join(Y, X)))
% 48.20/6.59 = { by lemma 20 R->L }
% 48.20/6.59 join(meet(meet(join(meet(X, X), join(X, X)), join(Y, X)), X), meet(X, join(Y, X)))
% 48.20/6.59 = { by lemma 12 }
% 48.20/6.59 join(X, meet(X, join(Y, X)))
% 48.20/6.59 = { by lemma 23 }
% 48.20/6.59 X
% 48.20/6.59
% 48.20/6.59 Lemma 29: join(join(meet(X, join(Y, Z)), Y), join(Y, Z)) = join(Y, Z).
% 48.20/6.59 Proof:
% 48.20/6.59 join(join(meet(X, join(Y, Z)), Y), join(Y, Z))
% 48.20/6.59 = { by lemma 22 R->L }
% 48.20/6.59 join(join(meet(X, join(Y, Z)), meet(join(Y, Z), Y)), join(Y, Z))
% 48.20/6.59 = { by lemma 16 }
% 48.20/6.59 join(Y, Z)
% 48.20/6.59
% 48.20/6.59 Lemma 30: join(join(X, Y), join(Y, X)) = join(Y, X).
% 48.20/6.59 Proof:
% 48.20/6.59 join(join(X, Y), join(Y, X))
% 48.20/6.59 = { by lemma 28 R->L }
% 48.20/6.59 join(join(meet(X, join(Y, X)), Y), join(Y, X))
% 48.20/6.59 = { by lemma 29 }
% 48.20/6.59 join(Y, X)
% 48.20/6.59
% 48.20/6.59 Lemma 31: join(join(X, Y), X) = join(X, Y).
% 48.20/6.59 Proof:
% 48.20/6.59 join(join(X, Y), X)
% 48.20/6.59 = { by lemma 22 R->L }
% 48.20/6.59 join(join(X, Y), meet(join(X, Y), X))
% 48.20/6.59 = { by lemma 23 }
% 48.20/6.59 join(X, Y)
% 48.20/6.59
% 48.20/6.59 Lemma 32: join(X, Y) = join(Y, X).
% 48.20/6.59 Proof:
% 48.20/6.59 join(X, Y)
% 48.20/6.59 = { by lemma 30 R->L }
% 48.20/6.59 join(join(Y, X), join(X, Y))
% 48.20/6.59 = { by lemma 31 R->L }
% 48.20/6.59 join(join(join(Y, X), join(X, Y)), join(Y, X))
% 48.20/6.59 = { by lemma 30 }
% 48.20/6.59 join(join(X, Y), join(Y, X))
% 48.20/6.59 = { by lemma 30 }
% 48.20/6.59 join(Y, X)
% 48.20/6.59
% 48.20/6.59 Lemma 33: meet(X, join(X, Y)) = X.
% 48.20/6.59 Proof:
% 48.20/6.59 meet(X, join(X, Y))
% 48.20/6.60 = { by lemma 14 R->L }
% 48.20/6.60 join(meet(X, join(X, Y)), meet(X, join(X, Y)))
% 48.20/6.60 = { by lemma 15 R->L }
% 48.20/6.60 join(meet(X, meet(join(X, Y), join(X, Y))), meet(X, join(X, Y)))
% 48.20/6.60 = { by lemma 22 R->L }
% 48.20/6.60 join(meet(meet(join(X, Y), X), meet(join(X, Y), join(X, Y))), meet(X, join(X, Y)))
% 48.20/6.60 = { by lemma 22 R->L }
% 48.20/6.60 join(meet(meet(join(X, Y), X), meet(join(X, Y), join(X, Y))), meet(meet(join(X, Y), X), join(X, Y)))
% 48.20/6.60 = { by lemma 31 R->L }
% 48.20/6.60 join(meet(meet(join(X, Y), X), meet(join(X, Y), join(join(X, Y), X))), meet(meet(join(X, Y), X), join(X, Y)))
% 48.20/6.60 = { by lemma 26 }
% 48.20/6.60 meet(join(X, Y), X)
% 48.20/6.60 = { by lemma 22 }
% 48.20/6.60 X
% 48.20/6.60
% 48.20/6.60 Lemma 34: meet(join(X, join(Y, Z)), Y) = Y.
% 48.20/6.60 Proof:
% 48.20/6.60 meet(join(X, join(Y, Z)), Y)
% 48.20/6.60 = { by lemma 19 R->L }
% 48.20/6.60 meet(meet(join(X, join(Y, Z)), Y), Y)
% 48.20/6.60 = { by lemma 14 R->L }
% 48.20/6.60 meet(meet(join(X, join(Y, Z)), join(Y, Y)), Y)
% 48.20/6.60 = { by lemma 12 }
% 48.20/6.60 Y
% 48.20/6.60
% 48.20/6.60 Lemma 35: meet(join(X, Y), meet(Z, Y)) = meet(Z, Y).
% 48.20/6.60 Proof:
% 48.20/6.60 meet(join(X, Y), meet(Z, Y))
% 48.20/6.60 = { by lemma 19 R->L }
% 48.20/6.60 meet(join(X, Y), meet(meet(Z, Y), Y))
% 48.20/6.60 = { by lemma 28 R->L }
% 48.20/6.60 meet(join(X, meet(Y, join(Z, Y))), meet(meet(Z, Y), Y))
% 48.20/6.60 = { by lemma 28 R->L }
% 48.20/6.60 meet(join(X, meet(Y, join(Z, Y))), meet(meet(Z, Y), meet(Y, join(Z, Y))))
% 48.20/6.60 = { by lemma 9 R->L }
% 48.20/6.60 meet(join(X, join(meet(meet(Z, Y), meet(Y, join(Z, Y))), meet(meet(Y, join(Z, Y)), join(meet(Z, Y), meet(Y, join(Z, Y)))))), meet(meet(Z, Y), meet(Y, join(Z, Y))))
% 48.20/6.60 = { by lemma 9 }
% 48.20/6.60 meet(join(X, join(meet(meet(Z, Y), meet(Y, join(Z, Y))), meet(meet(Y, join(Z, Y)), Y))), meet(meet(Z, Y), meet(Y, join(Z, Y))))
% 48.20/6.60 = { by lemma 34 }
% 48.20/6.60 meet(meet(Z, Y), meet(Y, join(Z, Y)))
% 48.20/6.60 = { by lemma 28 }
% 48.20/6.60 meet(meet(Z, Y), Y)
% 48.20/6.60 = { by lemma 19 }
% 48.20/6.60 meet(Z, Y)
% 48.20/6.60
% 48.20/6.60 Lemma 36: meet(X, meet(Y, meet(Z, X))) = meet(Y, meet(Z, X)).
% 48.20/6.60 Proof:
% 48.20/6.60 meet(X, meet(Y, meet(Z, X)))
% 48.20/6.60 = { by lemma 18 R->L }
% 48.20/6.60 meet(X, meet(Y, meet(Z, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))))
% 48.20/6.60 = { by lemma 11 R->L }
% 48.20/6.60 meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(Z, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), meet(Y, meet(Z, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))))
% 48.20/6.60 = { by lemma 35 }
% 48.20/6.60 meet(Y, meet(Z, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X))))
% 48.20/6.60 = { by lemma 18 }
% 48.20/6.60 meet(Y, meet(Z, X))
% 48.20/6.60
% 48.20/6.60 Lemma 37: meet(meet(X, Y), meet(X, Z)) = meet(Z, meet(X, Y)).
% 48.20/6.60 Proof:
% 48.20/6.60 meet(meet(X, Y), meet(X, Z))
% 48.20/6.60 = { by lemma 27 R->L }
% 48.20/6.60 meet(meet(X, Y), meet(Z, X))
% 48.20/6.60 = { by lemma 27 R->L }
% 48.20/6.60 meet(meet(Y, X), meet(Z, X))
% 48.20/6.60 = { by lemma 11 R->L }
% 48.20/6.60 meet(meet(Y, X), meet(Z, join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(Y, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X))))))
% 48.20/6.60 = { by lemma 17 R->L }
% 48.20/6.60 meet(meet(Y, X), meet(Z, join(join(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(Y, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(Y, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), meet(Z, meet(Y, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))))), join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(Y, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))))))
% 48.20/6.60 = { by lemma 35 }
% 48.20/6.61 meet(meet(Y, X), meet(Z, join(join(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(Y, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), meet(Z, meet(Y, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X))))), join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(Y, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))))))
% 48.20/6.61 = { by lemma 31 }
% 48.20/6.61 meet(meet(Y, X), meet(Z, join(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(Y, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), meet(Z, meet(Y, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))))))
% 48.20/6.61 = { by lemma 11 }
% 48.20/6.61 meet(meet(Y, X), meet(Z, join(X, meet(Z, meet(Y, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))))))
% 48.20/6.61 = { by lemma 18 }
% 48.20/6.61 meet(meet(Y, X), meet(Z, join(X, meet(Z, meet(Y, X)))))
% 48.20/6.61 = { by lemma 27 R->L }
% 48.20/6.61 meet(meet(Y, X), meet(join(X, meet(Z, meet(Y, X))), Z))
% 48.20/6.61 = { by lemma 36 R->L }
% 48.20/6.61 meet(Z, meet(meet(Y, X), meet(join(X, meet(Z, meet(Y, X))), Z)))
% 48.20/6.61 = { by lemma 27 R->L }
% 48.20/6.61 meet(Z, meet(meet(join(X, meet(Z, meet(Y, X))), Z), meet(Y, X)))
% 48.20/6.62 = { by lemma 27 R->L }
% 48.20/6.62 meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), meet(Y, X)), Z)
% 48.20/6.62 = { by lemma 18 R->L }
% 48.20/6.62 meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), Z)
% 48.20/6.62 = { by lemma 18 R->L }
% 48.20/6.62 meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), join(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z)))
% 48.20/6.62 = { by lemma 12 R->L }
% 48.20/6.62 meet(meet(join(meet(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X))), join(meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), join(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z))), meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), join(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), join(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z)))))), join(meet(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z)), meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), join(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z))))), meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), join(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z))))
% 48.20/6.62 = { by lemma 5 }
% 48.20/6.62 meet(meet(join(meet(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X))), meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X))))), join(meet(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z)), meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), join(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z))))), meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), join(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z))))
% 48.20/6.62 = { by lemma 27 }
% 48.20/6.62 meet(meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), join(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z))), meet(join(meet(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X))), meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X))))), join(meet(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z)), meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), join(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z))))))
% 48.20/6.62 = { by lemma 11 }
% 48.20/6.62 meet(meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), join(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z))), meet(join(meet(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X))), meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X))))), Z))
% 48.20/6.62 = { by lemma 18 }
% 48.20/6.62 meet(meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), Z), meet(join(meet(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X))), meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X))))), Z))
% 48.20/6.62 = { by lemma 27 }
% 48.20/6.62 meet(meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), Z), meet(Z, join(meet(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X))), meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))))))
% 48.20/6.62 = { by lemma 11 }
% 48.20/6.62 meet(meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), Z), meet(Z, meet(Y, X)))
% 48.20/6.62 = { by lemma 18 }
% 48.20/6.62 meet(meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), meet(Y, X)), Z), meet(Z, meet(Y, X)))
% 48.20/6.62 = { by lemma 27 }
% 48.20/6.62 meet(meet(Z, meet(Y, X)), meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), meet(Y, X)), Z))
% 48.20/6.62 = { by lemma 27 }
% 48.20/6.62 meet(meet(Z, meet(Y, X)), meet(Z, meet(meet(join(X, meet(Z, meet(Y, X))), Z), meet(Y, X))))
% 48.20/6.62 = { by lemma 27 }
% 48.20/6.62 meet(meet(Z, meet(Y, X)), meet(Z, meet(meet(Y, X), meet(join(X, meet(Z, meet(Y, X))), Z))))
% 48.20/6.62 = { by lemma 36 }
% 48.20/6.62 meet(meet(Z, meet(Y, X)), meet(meet(Y, X), meet(join(X, meet(Z, meet(Y, X))), Z)))
% 48.20/6.62 = { by lemma 27 }
% 48.20/6.62 meet(meet(Z, meet(Y, X)), meet(meet(Y, X), meet(Z, join(X, meet(Z, meet(Y, X))))))
% 48.20/6.62 = { by lemma 5 R->L }
% 48.20/6.62 meet(meet(Z, meet(Y, X)), meet(meet(Y, X), join(meet(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X))), meet(meet(Z, join(X, meet(Z, meet(Y, X)))), join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X)))))))
% 48.20/6.62 = { by lemma 5 R->L }
% 48.20/6.62 meet(meet(Z, meet(Y, X)), meet(meet(Y, X), join(meet(meet(join(meet(Z, meet(Y, X)), meet(Z, join(Z, meet(Y, X)))), join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X))), meet(meet(Z, join(X, meet(Z, meet(Y, X)))), join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X)))))))
% 48.20/6.62 = { by lemma 21 }
% 48.20/6.62 meet(meet(Z, meet(Y, X)), meet(meet(Y, X), join(meet(Z, meet(Y, X)), meet(meet(Z, join(X, meet(Z, meet(Y, X)))), join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X)))))))
% 48.20/6.62 = { by lemma 33 }
% 48.20/6.62 meet(meet(Z, meet(Y, X)), meet(meet(Y, X), join(meet(Z, meet(Y, X)), meet(Z, join(X, meet(Z, meet(Y, X)))))))
% 48.20/6.62 = { by lemma 27 R->L }
% 48.20/6.62 meet(meet(Z, meet(Y, X)), meet(join(meet(Z, meet(Y, X)), meet(Z, join(X, meet(Z, meet(Y, X))))), meet(Y, X)))
% 48.20/6.62 = { by lemma 27 R->L }
% 48.20/6.62 meet(meet(join(meet(Z, meet(Y, X)), meet(Z, join(X, meet(Z, meet(Y, X))))), meet(Y, X)), meet(Z, meet(Y, X)))
% 48.20/6.62 = { by lemma 18 R->L }
% 48.20/6.62 meet(meet(join(meet(Z, join(meet(Y, X), meet(meet(join(V2, join(meet(Y, X), U2)), join(T2, meet(Y, X))), meet(Y, X)))), meet(Z, join(X, meet(Z, meet(Y, X))))), meet(Y, X)), meet(Z, meet(Y, X)))
% 48.20/6.62 = { by lemma 18 R->L }
% 48.20/6.62 meet(meet(join(meet(Z, join(meet(Y, X), meet(meet(join(V2, join(meet(Y, X), U2)), join(T2, meet(Y, X))), meet(Y, X)))), meet(Z, join(X, meet(Z, meet(Y, X))))), meet(Y, X)), meet(Z, join(meet(Y, X), meet(meet(join(V2, join(meet(Y, X), U2)), join(T2, meet(Y, X))), meet(Y, X)))))
% 48.20/6.62 = { by lemma 11 R->L }
% 48.20/6.62 meet(meet(join(meet(Z, join(meet(Y, X), meet(meet(join(V2, join(meet(Y, X), U2)), join(T2, meet(Y, X))), meet(Y, X)))), meet(Z, join(X, meet(Z, meet(Y, X))))), join(meet(meet(Y, X), meet(meet(join(V2, join(meet(Y, X), U2)), join(T2, meet(Y, X))), meet(Y, X))), meet(Z, join(meet(Y, X), meet(meet(join(V2, join(meet(Y, X), U2)), join(T2, meet(Y, X))), meet(Y, X)))))), meet(Z, join(meet(Y, X), meet(meet(join(V2, join(meet(Y, X), U2)), join(T2, meet(Y, X))), meet(Y, X)))))
% 48.20/6.62 = { by lemma 21 }
% 48.20/6.62 meet(Z, join(meet(Y, X), meet(meet(join(V2, join(meet(Y, X), U2)), join(T2, meet(Y, X))), meet(Y, X))))
% 48.20/6.62 = { by lemma 18 }
% 48.20/6.62 meet(Z, meet(Y, X))
% 48.20/6.62 = { by lemma 27 }
% 48.20/6.62 meet(Z, meet(X, Y))
% 48.20/6.62
% 48.20/6.62 Lemma 38: meet(Y, meet(X, Z)) = meet(X, meet(Y, Z)).
% 48.20/6.62 Proof:
% 48.20/6.62 meet(Y, meet(X, Z))
% 48.20/6.62 = { by lemma 27 R->L }
% 48.20/6.62 meet(Y, meet(Z, X))
% 48.20/6.62 = { by lemma 37 R->L }
% 48.20/6.62 meet(meet(Z, X), meet(Z, Y))
% 48.20/6.62 = { by lemma 25 R->L }
% 48.20/6.62 meet(meet(Z, X), meet(Z, meet(Z, Y)))
% 48.20/6.62 = { by lemma 37 }
% 48.20/6.62 meet(meet(Z, Y), meet(Z, X))
% 48.20/6.62 = { by lemma 37 }
% 48.20/6.62 meet(X, meet(Z, Y))
% 48.20/6.62 = { by lemma 27 }
% 48.20/6.62 meet(X, meet(Y, Z))
% 48.20/6.62
% 48.20/6.62 Lemma 39: join(join(X, Y), join(X, join(Y, Z))) = join(X, join(Y, Z)).
% 48.20/6.62 Proof:
% 48.20/6.62 join(join(X, Y), join(X, join(Y, Z)))
% 48.20/6.62 = { by lemma 32 R->L }
% 48.20/6.62 join(join(Y, X), join(X, join(Y, Z)))
% 48.20/6.62 = { by lemma 5 R->L }
% 48.20/6.62 join(join(join(meet(Y, join(X, join(Y, Z))), meet(Y, join(Y, join(X, join(Y, Z))))), X), join(X, join(Y, Z)))
% 48.20/6.62 = { by lemma 33 R->L }
% 48.20/6.62 join(join(join(meet(Y, join(X, join(Y, Z))), meet(Y, join(Y, meet(join(X, join(Y, Z)), join(join(X, join(Y, Z)), Y))))), X), join(X, join(Y, Z)))
% 48.20/6.62 = { by lemma 34 R->L }
% 48.20/6.62 join(join(join(meet(Y, join(X, join(Y, Z))), meet(Y, join(meet(join(X, join(Y, Z)), Y), meet(join(X, join(Y, Z)), join(join(X, join(Y, Z)), Y))))), X), join(X, join(Y, Z)))
% 48.20/6.62 = { by lemma 5 }
% 48.20/6.62 join(join(join(meet(Y, join(X, join(Y, Z))), meet(Y, join(X, join(Y, Z)))), X), join(X, join(Y, Z)))
% 48.20/6.62 = { by lemma 14 }
% 48.20/6.62 join(join(meet(Y, join(X, join(Y, Z))), X), join(X, join(Y, Z)))
% 48.20/6.62 = { by lemma 29 }
% 48.20/6.62 join(X, join(Y, Z))
% 48.20/6.62
% 48.20/6.62 Lemma 40: join(join(X, Y), join(X, Z)) = join(Z, join(X, Y)).
% 48.20/6.62 Proof:
% 48.20/6.62 join(join(X, Y), join(X, Z))
% 48.20/6.62 = { by lemma 32 R->L }
% 48.20/6.62 join(join(X, Y), join(Z, X))
% 48.20/6.62 = { by lemma 39 R->L }
% 48.20/6.62 join(join(join(X, Y), Z), join(join(X, Y), join(Z, X)))
% 48.20/6.63 = { by lemma 33 R->L }
% 48.20/6.63 join(join(join(X, Y), Z), join(join(X, Y), meet(join(Z, X), join(join(Z, X), join(Z, join(X, Y))))))
% 48.20/6.63 = { by lemma 39 }
% 48.20/6.63 join(join(join(X, Y), Z), join(join(X, Y), meet(join(Z, X), join(Z, join(X, Y)))))
% 48.20/6.63 = { by lemma 32 }
% 48.20/6.63 join(join(join(X, Y), Z), join(join(X, Y), meet(join(Z, X), join(join(X, Y), Z))))
% 48.20/6.63 = { by lemma 27 R->L }
% 48.20/6.63 join(join(join(X, Y), Z), join(join(X, Y), meet(join(join(X, Y), Z), join(Z, X))))
% 48.20/6.63 = { by lemma 22 R->L }
% 48.20/6.63 join(join(join(X, Y), Z), join(meet(join(join(X, Y), Z), join(X, Y)), meet(join(join(X, Y), Z), join(Z, X))))
% 48.20/6.63 = { by lemma 27 R->L }
% 48.20/6.63 join(join(join(X, Y), Z), join(meet(join(X, Y), join(join(X, Y), Z)), meet(join(join(X, Y), Z), join(Z, X))))
% 48.20/6.63 = { by lemma 31 R->L }
% 48.20/6.63 join(join(join(join(X, Y), Z), join(meet(join(X, Y), join(join(X, Y), Z)), meet(join(join(X, Y), Z), join(Z, X)))), join(join(X, Y), Z))
% 48.20/6.63 = { by lemma 5 R->L }
% 48.20/6.63 join(join(join(join(X, Y), Z), join(meet(join(meet(join(X, Y), join(join(X, Y), Z)), meet(join(join(X, Y), Z), join(Z, X))), join(join(X, Y), Z)), meet(join(meet(join(X, Y), join(join(X, Y), Z)), meet(join(join(X, Y), Z), join(Z, X))), join(join(meet(join(X, Y), join(join(X, Y), Z)), meet(join(join(X, Y), Z), join(Z, X))), join(join(X, Y), Z))))), join(join(X, Y), Z))
% 48.20/6.64 = { by lemma 16 }
% 48.20/6.64 join(join(join(join(X, Y), Z), join(meet(join(meet(join(X, Y), join(join(X, Y), Z)), meet(join(join(X, Y), Z), join(Z, X))), join(join(X, Y), Z)), meet(join(meet(join(X, Y), join(join(X, Y), Z)), meet(join(join(X, Y), Z), join(Z, X))), join(join(X, Y), Z)))), join(join(X, Y), Z))
% 48.20/6.64 = { by lemma 14 }
% 48.20/6.64 join(join(join(join(X, Y), Z), meet(join(meet(join(X, Y), join(join(X, Y), Z)), meet(join(join(X, Y), Z), join(Z, X))), join(join(X, Y), Z))), join(join(X, Y), Z))
% 48.20/6.64 = { by lemma 27 }
% 48.20/6.64 join(join(join(join(X, Y), Z), meet(join(join(X, Y), Z), join(meet(join(X, Y), join(join(X, Y), Z)), meet(join(join(X, Y), Z), join(Z, X))))), join(join(X, Y), Z))
% 48.20/6.64 = { by lemma 17 }
% 48.20/6.64 join(join(X, Y), Z)
% 48.20/6.64 = { by lemma 32 }
% 48.20/6.64 join(Z, join(X, Y))
% 48.20/6.64
% 48.20/6.64 Goal 1 (prove_normal_axioms): tuple(join(join(a, b), c), join(a, meet(a, b)), join(a, a), join(a, b), meet(meet(a, b), c), meet(a, join(a, b)), meet(a, a), meet(a, b)) = tuple(join(a, join(b, c)), a, a, join(b, a), meet(a, meet(b, c)), a, a, meet(b, a)).
% 48.20/6.64 Proof:
% 48.20/6.64 tuple(join(join(a, b), c), join(a, meet(a, b)), join(a, a), join(a, b), meet(meet(a, b), c), meet(a, join(a, b)), meet(a, a), meet(a, b))
% 48.20/6.64 = { by lemma 23 }
% 48.20/6.64 tuple(join(join(a, b), c), a, join(a, a), join(a, b), meet(meet(a, b), c), meet(a, join(a, b)), meet(a, a), meet(a, b))
% 48.20/6.64 = { by lemma 33 }
% 48.20/6.64 tuple(join(join(a, b), c), a, join(a, a), join(a, b), meet(meet(a, b), c), a, meet(a, a), meet(a, b))
% 48.20/6.64 = { by lemma 14 }
% 48.20/6.64 tuple(join(join(a, b), c), a, a, join(a, b), meet(meet(a, b), c), a, meet(a, a), meet(a, b))
% 48.20/6.64 = { by lemma 15 }
% 48.20/6.64 tuple(join(join(a, b), c), a, a, join(a, b), meet(meet(a, b), c), a, a, meet(a, b))
% 48.20/6.64 = { by lemma 32 }
% 48.20/6.64 tuple(join(c, join(a, b)), a, a, join(a, b), meet(meet(a, b), c), a, a, meet(a, b))
% 48.20/6.64 = { by lemma 27 R->L }
% 48.20/6.64 tuple(join(c, join(a, b)), a, a, join(a, b), meet(c, meet(a, b)), a, a, meet(a, b))
% 48.20/6.64 = { by lemma 38 R->L }
% 48.20/6.64 tuple(join(c, join(a, b)), a, a, join(a, b), meet(a, meet(c, b)), a, a, meet(a, b))
% 48.20/6.64 = { by lemma 32 }
% 48.20/6.64 tuple(join(c, join(b, a)), a, a, join(a, b), meet(a, meet(c, b)), a, a, meet(a, b))
% 48.20/6.64 = { by lemma 32 }
% 48.20/6.64 tuple(join(c, join(b, a)), a, a, join(b, a), meet(a, meet(c, b)), a, a, meet(a, b))
% 48.20/6.64 = { by lemma 27 }
% 48.20/6.64 tuple(join(c, join(b, a)), a, a, join(b, a), meet(a, meet(c, b)), a, a, meet(b, a))
% 48.20/6.64 = { by lemma 38 R->L }
% 48.20/6.64 tuple(join(c, join(b, a)), a, a, join(b, a), meet(c, meet(a, b)), a, a, meet(b, a))
% 48.20/6.64 = { by lemma 27 }
% 48.20/6.64 tuple(join(c, join(b, a)), a, a, join(b, a), meet(c, meet(b, a)), a, a, meet(b, a))
% 48.20/6.64 = { by lemma 40 R->L }
% 48.20/6.64 tuple(join(join(b, a), join(b, c)), a, a, join(b, a), meet(c, meet(b, a)), a, a, meet(b, a))
% 48.20/6.64 = { by lemma 32 }
% 48.20/6.64 tuple(join(join(b, c), join(b, a)), a, a, join(b, a), meet(c, meet(b, a)), a, a, meet(b, a))
% 48.20/6.64 = { by lemma 40 }
% 48.20/6.64 tuple(join(a, join(b, c)), a, a, join(b, a), meet(c, meet(b, a)), a, a, meet(b, a))
% 48.20/6.64 = { by lemma 32 }
% 48.20/6.64 tuple(join(a, join(c, b)), a, a, join(b, a), meet(c, meet(b, a)), a, a, meet(b, a))
% 48.20/6.64 = { by lemma 27 R->L }
% 48.20/6.64 tuple(join(a, join(c, b)), a, a, join(b, a), meet(c, meet(a, b)), a, a, meet(b, a))
% 48.20/6.64 = { by lemma 38 }
% 48.20/6.64 tuple(join(a, join(c, b)), a, a, join(b, a), meet(a, meet(c, b)), a, a, meet(b, a))
% 48.20/6.64 = { by lemma 27 R->L }
% 48.20/6.64 tuple(join(a, join(c, b)), a, a, join(b, a), meet(a, meet(b, c)), a, a, meet(b, a))
% 48.20/6.64 = { by lemma 32 R->L }
% 48.20/6.64 tuple(join(a, join(b, c)), a, a, join(b, a), meet(a, meet(b, c)), a, a, meet(b, a))
% 48.20/6.64 % SZS output end Proof
% 48.20/6.64
% 48.20/6.64 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------