TSTP Solution File: LAT086-1 by Twee---2.4.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : LAT086-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : n026.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 06:27:23 EDT 2023
% Result : Unsatisfiable 8.15s 1.76s
% Output : Proof 38.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.17 % Problem : LAT086-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.17 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.37 % Computer : n026.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Thu Aug 24 09:39:47 EDT 2023
% 0.14/0.38 % CPUTime :
% 8.15/1.76 Command-line arguments: --no-flatten-goal
% 8.15/1.76
% 8.15/1.76 % SZS status Unsatisfiable
% 8.15/1.76
% 29.78/5.34 % SZS output start Proof
% 29.78/5.35 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.
% 29.78/5.35
% 29.78/5.35 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))).
% 29.78/5.35 Proof:
% 29.78/5.35 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)))
% 29.78/5.35 = { by axiom 1 (single_axiom) R->L }
% 29.78/5.35 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)))
% 29.78/5.35 = { by axiom 1 (single_axiom) }
% 29.85/5.36 join(meet(Y, Z), meet(Z, join(Y, Z)))
% 29.85/5.36
% 29.85/5.36 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))).
% 29.85/5.36 Proof:
% 29.85/5.36 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(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)))
% 29.85/5.38 = { by lemma 2 R->L }
% 29.85/5.38 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)))
% 29.85/5.40 = { by lemma 2 R->L }
% 29.85/5.40 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)))
% 30.15/5.44 = { by lemma 2 R->L }
% 30.15/5.44 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)))
% 30.38/5.47 = { by lemma 2 R->L }
% 30.38/5.48 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)))
% 30.38/5.52 = { by lemma 2 R->L }
% 30.38/5.54 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)))
% 31.00/5.59 = { by lemma 2 R->L }
% 31.00/5.60 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)))
% 31.28/5.64 = { by lemma 2 R->L }
% 31.33/5.66 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)))
% 31.33/5.71 = { by lemma 2 R->L }
% 31.65/5.73 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)))
% 31.65/5.79 = { by lemma 2 R->L }
% 31.65/5.81 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)))
% 31.65/5.84 = { by lemma 2 R->L }
% 31.65/5.86 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)))
% 31.65/5.89 = { by lemma 2 R->L }
% 32.24/5.92 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)))
% 32.24/5.92 = { by lemma 2 R->L }
% 32.24/5.94 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)))
% 32.24/5.94 = { by lemma 2 R->L }
% 32.24/5.97 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)))
% 32.24/5.97 = { by lemma 2 }
% 32.24/5.97 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))))))))))
% 32.24/5.97 = { by lemma 2 }
% 32.24/5.98 join(meet(Y, Z), meet(Z, join(Y, Z)))
% 32.24/5.98
% 32.24/5.98 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))).
% 32.24/5.98 Proof:
% 32.24/5.98 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)))
% 32.24/5.98 = { by lemma 3 R->L }
% 32.24/5.98 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)))
% 32.24/5.98 = { by lemma 3 R->L }
% 32.24/5.98 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)))
% 32.24/5.98 = { by lemma 3 }
% 32.24/5.99 join(meet(X, Y), meet(Y, join(X, Y)))
% 32.24/5.99
% 32.24/5.99 Lemma 5: join(meet(X, Y), meet(X, join(X, Y))) = X.
% 32.24/5.99 Proof:
% 32.24/5.99 join(meet(X, Y), meet(X, join(X, Y)))
% 32.24/5.99 = { by axiom 1 (single_axiom) R->L }
% 32.24/5.99 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)))
% 32.24/5.99 = { by axiom 1 (single_axiom) R->L }
% 32.24/5.99 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)))
% 32.24/5.99 = { by axiom 1 (single_axiom) R->L }
% 32.24/6.00 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)))
% 32.24/6.00 = { by lemma 4 }
% 32.24/6.00 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)))))))
% 32.24/6.00 = { by axiom 1 (single_axiom) }
% 32.24/6.00 X
% 32.24/6.00
% 32.24/6.00 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))).
% 32.24/6.00 Proof:
% 32.24/6.00 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)))
% 32.24/6.00 = { by lemma 5 R->L }
% 32.24/6.00 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)))
% 32.24/6.00 = { by lemma 2 }
% 33.14/6.01 join(meet(Y, X), meet(X, join(Y, X)))
% 33.14/6.01
% 33.14/6.01 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.
% 33.14/6.01 Proof:
% 33.14/6.01 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)))
% 33.14/6.01 = { by axiom 1 (single_axiom) R->L }
% 33.14/6.01 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, 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)))
% 33.14/6.02 = { by axiom 1 (single_axiom) R->L }
% 33.14/6.02 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)))
% 33.14/6.04 = { by axiom 1 (single_axiom) R->L }
% 33.14/6.04 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)))
% 33.32/6.05 = { by axiom 1 (single_axiom) R->L }
% 33.32/6.06 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)))
% 33.32/6.08 = { by axiom 1 (single_axiom) R->L }
% 33.32/6.08 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)))
% 33.32/6.11 = { by axiom 1 (single_axiom) R->L }
% 33.32/6.11 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, 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)))
% 33.78/6.14 = { by axiom 1 (single_axiom) R->L }
% 33.78/6.15 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, 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, 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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)))
% 33.78/6.17 = { by axiom 1 (single_axiom) R->L }
% 33.78/6.18 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(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)))
% 34.05/6.21 = { by axiom 1 (single_axiom) R->L }
% 34.05/6.22 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)))
% 34.35/6.26 = { by axiom 1 (single_axiom) R->L }
% 34.40/6.27 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, 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)))
% 34.40/6.30 = { by axiom 1 (single_axiom) R->L }
% 34.64/6.32 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, 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), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 34.84/6.36 = { by axiom 1 (single_axiom) R->L }
% 34.84/6.37 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(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)))
% 34.84/6.42 = { by axiom 1 (single_axiom) R->L }
% 35.29/6.44 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)))
% 35.55/6.49 = { by axiom 1 (single_axiom) R->L }
% 35.55/6.51 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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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, 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% 35.55/6.60 = { by axiom 1 (single_axiom) R->L }
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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)))
% 35.55/6.65 = { by axiom 1 (single_axiom) R->L }
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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)))
% 35.55/6.70 = { by axiom 1 (single_axiom) R->L }
% 36.66/6.73 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)), 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, 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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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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(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)), 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Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), Y))), Z)))
% 36.66/6.73 = { by axiom 1 (single_axiom) R->L }
% 36.90/6.76 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, 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% 36.90/6.76 = { by axiom 1 (single_axiom) R->L }
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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)), 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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)), 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% 36.90/6.79 = { by lemma 3 }
% 36.90/6.79 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)))))))
% 36.90/6.79 = { by axiom 1 (single_axiom) }
% 36.90/6.79 Y
% 36.90/6.79
% 36.90/6.79 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.
% 36.90/6.79 Proof:
% 36.90/6.79 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)))
% 36.90/6.80 = { by lemma 7 R->L }
% 36.90/6.80 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)))
% 36.90/6.80 = { by lemma 7 R->L }
% 36.90/6.80 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)))
% 36.90/6.81 = { by lemma 7 R->L }
% 36.90/6.81 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)))
% 36.90/6.81 = { by lemma 7 R->L }
% 36.90/6.81 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)))
% 36.90/6.82 = { by lemma 7 R->L }
% 36.90/6.82 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)))
% 36.90/6.83 = { by lemma 7 R->L }
% 36.90/6.83 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)))
% 36.90/6.84 = { by lemma 7 R->L }
% 36.90/6.84 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)))
% 37.36/6.85 = { by lemma 7 R->L }
% 37.36/6.85 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)))
% 37.36/6.85 = { by lemma 7 R->L }
% 37.36/6.86 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)))
% 37.36/6.86 = { by lemma 7 R->L }
% 37.36/6.86 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)))
% 37.36/6.86 = { by lemma 7 R->L }
% 37.36/6.87 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)))
% 37.36/6.87 = { by lemma 7 R->L }
% 37.36/6.87 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)))
% 37.36/6.88 = { by lemma 2 }
% 37.36/6.88 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)))
% 37.36/6.88 = { by lemma 7 }
% 37.36/6.88 Y
% 37.36/6.88
% 37.36/6.88 Lemma 9: join(meet(X, Y), meet(Y, join(X, Y))) = Y.
% 37.36/6.88 Proof:
% 37.36/6.88 join(meet(X, Y), meet(Y, join(X, Y)))
% 37.36/6.88 = { by lemma 4 R->L }
% 37.36/6.88 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)))
% 37.36/6.88 = { by lemma 6 R->L }
% 37.36/6.88 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)))
% 37.36/6.88 = { by lemma 6 R->L }
% 37.36/6.88 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)))
% 37.36/6.88 = { by lemma 6 R->L }
% 37.36/6.88 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)))
% 37.36/6.88 = { by lemma 8 }
% 37.56/6.89 Y
% 37.56/6.89
% 37.56/6.89 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.
% 37.56/6.89 Proof:
% 37.56/6.89 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))))
% 37.56/6.89 = { by lemma 8 R->L }
% 37.56/6.89 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)))
% 37.56/6.89 = { by lemma 8 }
% 37.56/6.89 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)))
% 37.56/6.89 = { by lemma 8 }
% 37.56/6.89 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)))
% 37.56/6.89 = { by lemma 8 }
% 37.56/6.89 join(meet(Z, V), meet(Z, join(Z, V)))
% 37.56/6.89 = { by lemma 5 }
% 37.56/6.89 Z
% 37.56/6.89
% 37.56/6.89 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.
% 37.56/6.89 Proof:
% 37.56/6.89 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))))
% 37.56/6.90 = { by lemma 10 R->L }
% 37.56/6.90 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))))))))
% 37.56/6.90 = { by lemma 5 R->L }
% 37.56/6.90 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))))))))
% 37.56/6.90 = { by lemma 9 R->L }
% 37.56/6.90 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))))))))
% 37.56/6.90 = { by lemma 9 R->L }
% 37.56/6.90 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))))))))
% 37.56/6.90 = { by axiom 1 (single_axiom) }
% 37.56/6.90 X
% 37.56/6.90
% 37.56/6.90 Lemma 12: meet(meet(join(X, join(Y, Z)), join(W, Y)), Y) = Y.
% 37.56/6.90 Proof:
% 37.56/6.90 meet(meet(join(X, join(Y, Z)), join(W, Y)), Y)
% 37.56/6.90 = { by lemma 9 R->L }
% 37.56/6.90 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))))
% 37.56/6.90 = { by lemma 11 }
% 37.56/6.90 Y
% 37.56/6.90
% 37.56/6.90 Lemma 13: join(meet(X, X), meet(Y, join(X, X))) = X.
% 37.56/6.90 Proof:
% 37.56/6.90 join(meet(X, X), meet(Y, join(X, X)))
% 37.56/6.90 = { by lemma 12 R->L }
% 37.56/6.90 join(meet(X, X), meet(Y, join(X, meet(meet(join(Z, join(X, W)), join(V, X)), X))))
% 37.56/6.90 = { by lemma 12 R->L }
% 37.56/6.90 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))))
% 37.56/6.90 = { by lemma 11 }
% 37.56/6.91 X
% 37.56/6.91
% 37.56/6.91 Lemma 14: join(X, X) = X.
% 37.56/6.91 Proof:
% 37.56/6.91 join(X, X)
% 37.56/6.91 = { by lemma 13 R->L }
% 37.56/6.91 join(meet(join(X, X), join(X, X)), meet(X, join(join(X, X), join(X, X))))
% 37.56/6.91 = { by lemma 9 R->L }
% 37.56/6.91 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))))
% 37.56/6.91 = { by lemma 10 R->L }
% 37.56/6.91 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))))
% 37.56/6.91 = { by lemma 10 R->L }
% 37.56/6.92 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))))
% 37.56/6.92 = { by lemma 10 R->L }
% 37.56/6.92 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))))
% 37.56/6.92 = { by lemma 10 R->L }
% 37.56/6.92 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))))
% 37.56/6.92 = { by lemma 10 R->L }
% 37.56/6.92 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))))
% 37.56/6.92 = { by lemma 10 R->L }
% 37.56/6.92 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))))))))
% 37.56/6.92 = { by lemma 9 R->L }
% 37.56/6.92 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))))))))
% 37.56/6.92 = { by lemma 9 R->L }
% 37.56/6.93 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))))))))
% 37.56/6.93 = { by lemma 9 R->L }
% 37.56/6.93 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))))))))
% 37.56/6.93 = { by lemma 9 R->L }
% 37.56/6.93 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))))))))
% 37.56/6.93 = { by lemma 9 R->L }
% 37.56/6.93 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))))))))
% 37.82/6.94 = { by lemma 9 R->L }
% 37.82/6.94 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))))))))
% 37.82/6.94 = { by lemma 9 R->L }
% 37.82/6.94 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))))))))
% 37.82/6.94 = { by lemma 9 R->L }
% 37.82/6.94 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))))))))
% 37.82/6.94 = { by lemma 9 R->L }
% 37.82/6.95 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))))))))
% 37.87/6.95 = { by lemma 9 R->L }
% 37.87/6.95 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))))))))
% 37.87/6.95 = { by lemma 9 R->L }
% 37.87/6.95 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))))))))
% 37.87/6.95 = { by lemma 9 R->L }
% 37.87/6.95 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))))))))
% 37.87/6.96 = { by lemma 9 R->L }
% 37.87/6.96 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))))))))
% 37.87/6.96 = { by lemma 9 R->L }
% 37.87/6.96 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))))))))
% 37.87/6.96 = { by lemma 9 R->L }
% 37.87/6.96 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))))))))
% 37.87/6.96 = { by lemma 9 R->L }
% 37.87/6.96 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))))))))
% 37.87/6.96 = { by lemma 9 R->L }
% 37.87/6.97 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))))))))
% 37.87/6.97 = { by lemma 9 R->L }
% 37.87/6.97 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))))))))
% 37.87/6.97 = { by lemma 9 R->L }
% 37.87/6.97 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))))))))
% 37.87/6.97 = { by lemma 9 R->L }
% 37.87/6.97 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))))))))
% 37.87/6.97 = { by lemma 9 R->L }
% 37.87/6.98 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))))))))
% 37.87/6.98 = { by lemma 9 R->L }
% 37.87/6.98 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))))))))
% 37.87/6.98 = { by lemma 9 R->L }
% 37.87/6.98 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))))))))
% 37.87/6.98 = { by lemma 9 R->L }
% 37.87/6.98 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))))))))
% 37.87/6.99 = { by lemma 9 R->L }
% 37.87/6.99 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))))))))
% 37.87/6.99 = { by lemma 9 R->L }
% 37.87/6.99 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))))))))
% 37.87/6.99 = { by lemma 9 R->L }
% 37.87/6.99 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))))))))
% 37.87/7.00 = { by lemma 9 R->L }
% 37.87/7.00 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))))))))
% 37.87/7.00 = { by lemma 9 R->L }
% 37.87/7.00 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))))))))
% 37.87/7.01 = { by lemma 9 R->L }
% 38.17/7.01 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))))))))
% 38.17/7.01 = { by lemma 9 R->L }
% 38.17/7.01 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))))))))
% 38.17/7.02 = { by lemma 9 R->L }
% 38.17/7.02 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))))))))
% 38.17/7.02 = { by lemma 9 R->L }
% 38.17/7.02 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))))))))
% 38.17/7.03 = { by lemma 9 R->L }
% 38.17/7.03 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))))))))
% 38.17/7.04 = { by lemma 9 R->L }
% 38.17/7.04 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))))))))
% 38.17/7.04 = { by lemma 9 R->L }
% 38.17/7.05 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))))))))
% 38.17/7.05 = { by lemma 9 R->L }
% 38.17/7.05 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))))))))
% 38.41/7.06 = { by lemma 9 R->L }
% 38.41/7.07 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))))))))
% 38.41/7.07 = { by lemma 9 R->L }
% 38.41/7.08 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))))))))
% 38.41/7.08 = { by lemma 9 R->L }
% 38.41/7.08 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))))))))
% 38.41/7.09 = { by lemma 9 R->L }
% 38.41/7.09 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))))))))
% 38.41/7.09 = { by lemma 9 R->L }
% 38.41/7.10 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))))))))
% 38.41/7.10 = { by lemma 9 R->L }
% 38.41/7.10 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)))))))))))
% 38.41/7.10 = { by lemma 2 R->L }
% 38.41/7.11 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)))))))))))
% 38.41/7.11 = { by lemma 10 }
% 38.41/7.11 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)))))))
% 38.41/7.11 = { by lemma 9 }
% 38.41/7.11 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)))))))
% 38.41/7.11 = { by lemma 9 }
% 38.41/7.11 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)))))))
% 38.41/7.11 = { by lemma 9 }
% 38.41/7.11 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)))))))
% 38.41/7.11 = { by lemma 9 }
% 38.41/7.11 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)))))))
% 38.41/7.11 = { by lemma 9 }
% 38.41/7.11 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)))))))
% 38.41/7.11 = { by lemma 9 }
% 38.41/7.11 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))))
% 38.41/7.11 = { by lemma 10 }
% 38.41/7.11 X
% 38.41/7.11
% 38.41/7.11 Lemma 15: meet(X, X) = X.
% 38.41/7.11 Proof:
% 38.41/7.11 meet(X, X)
% 38.41/7.11 = { by lemma 14 R->L }
% 38.41/7.11 join(meet(X, X), meet(X, X))
% 38.41/7.11 = { by lemma 14 R->L }
% 38.41/7.11 join(meet(X, X), meet(X, join(X, X)))
% 38.41/7.11 = { by lemma 5 }
% 38.41/7.11 X
% 38.41/7.11
% 38.41/7.11 Lemma 16: join(join(meet(X, Y), meet(Y, Z)), Y) = Y.
% 38.41/7.11 Proof:
% 38.41/7.11 join(join(meet(X, Y), meet(Y, Z)), Y)
% 38.41/7.11 = { by lemma 13 R->L }
% 38.41/7.11 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))))
% 38.41/7.11 = { by lemma 10 }
% 38.41/7.11 Y
% 38.41/7.11
% 38.41/7.11 Lemma 17: meet(join(X, Y), X) = X.
% 38.41/7.11 Proof:
% 38.41/7.11 meet(join(X, Y), X)
% 38.41/7.11 = { by lemma 5 R->L }
% 38.41/7.11 join(meet(meet(join(X, Y), X), X), meet(meet(join(X, Y), X), join(meet(join(X, Y), X), X)))
% 38.41/7.11 = { by lemma 13 R->L }
% 38.41/7.11 join(meet(meet(join(X, Y), X), X), meet(meet(join(X, Y), X), join(join(meet(meet(join(X, Y), X), meet(join(X, Y), X)), meet(X, join(meet(join(X, Y), X), meet(join(X, Y), X)))), X)))
% 38.41/7.11 = { by lemma 15 }
% 38.41/7.11 join(meet(meet(join(X, Y), X), X), meet(meet(join(X, Y), X), join(join(meet(join(X, Y), X), meet(X, join(meet(join(X, Y), X), meet(join(X, Y), X)))), X)))
% 38.41/7.11 = { by lemma 14 }
% 38.41/7.11 join(meet(meet(join(X, Y), X), X), meet(meet(join(X, Y), X), join(join(meet(join(X, Y), X), meet(X, meet(join(X, Y), X))), X)))
% 38.41/7.11 = { by lemma 16 }
% 38.41/7.11 join(meet(meet(join(X, Y), X), X), meet(meet(join(X, Y), X), X))
% 38.41/7.11 = { by lemma 14 }
% 38.41/7.11 meet(meet(join(X, Y), X), X)
% 38.41/7.12 = { by lemma 14 R->L }
% 38.41/7.12 meet(meet(join(join(X, X), Y), X), X)
% 38.41/7.12 = { by lemma 14 R->L }
% 38.41/7.12 meet(meet(join(join(X, X), Y), X), join(X, X))
% 38.41/7.12 = { by lemma 11 R->L }
% 38.41/7.12 meet(meet(join(join(X, X), Y), join(meet(X, meet(meet(join(Z, join(X, W)), join(V, X)), X)), meet(meet(join(U, join(join(X, meet(meet(join(Z, join(X, W)), join(V, X)), X)), T)), join(S, join(X, meet(meet(join(Z, join(X, W)), join(V, X)), X)))), join(X, meet(meet(join(Z, join(X, W)), join(V, X)), X))))), join(X, X))
% 38.41/7.12 = { by lemma 12 }
% 38.41/7.12 meet(meet(join(join(X, X), Y), join(meet(X, meet(meet(join(Z, join(X, W)), join(V, X)), X)), join(X, meet(meet(join(Z, join(X, W)), join(V, X)), X)))), join(X, X))
% 38.41/7.12 = { by lemma 12 }
% 38.41/7.12 meet(meet(join(join(X, X), Y), join(meet(X, meet(meet(join(Z, join(X, W)), join(V, X)), X)), join(X, X))), join(X, X))
% 38.41/7.12 = { by lemma 12 }
% 38.41/7.12 meet(meet(join(join(X, X), Y), join(meet(X, X), join(X, X))), join(X, X))
% 38.41/7.12 = { by lemma 14 R->L }
% 38.41/7.12 meet(meet(join(join(join(X, X), Y), join(join(X, X), Y)), join(meet(X, X), join(X, X))), join(X, X))
% 38.41/7.12 = { by lemma 12 }
% 38.41/7.12 join(X, X)
% 38.41/7.12 = { by lemma 14 }
% 38.41/7.12 X
% 38.41/7.12
% 38.41/7.12 Goal 1 (prove_normal_axioms_7): meet(a, join(a, b)) = a.
% 38.41/7.12 Proof:
% 38.41/7.12 meet(a, join(a, b))
% 38.41/7.12 = { by lemma 14 R->L }
% 38.41/7.12 join(meet(a, join(a, b)), meet(a, join(a, b)))
% 38.41/7.12 = { by lemma 15 R->L }
% 38.41/7.12 join(meet(a, meet(join(a, b), join(a, b))), meet(a, join(a, b)))
% 38.41/7.12 = { by lemma 17 R->L }
% 38.41/7.12 join(meet(meet(join(a, b), a), meet(join(a, b), join(a, b))), meet(a, join(a, b)))
% 38.41/7.12 = { by lemma 17 R->L }
% 38.41/7.12 join(meet(meet(join(a, b), a), meet(join(a, b), join(a, b))), meet(meet(join(a, b), a), join(a, b)))
% 38.41/7.12 = { by lemma 17 R->L }
% 38.41/7.12 join(meet(meet(join(a, b), a), meet(join(a, b), meet(join(join(a, b), meet(join(a, b), a)), join(a, b)))), meet(meet(join(a, b), a), join(a, b)))
% 38.41/7.12 = { by lemma 14 R->L }
% 38.41/7.12 join(meet(meet(join(a, b), a), meet(join(a, b), join(meet(join(join(a, b), meet(join(a, b), a)), join(a, b)), meet(join(join(a, b), meet(join(a, b), a)), join(a, b))))), meet(meet(join(a, b), a), join(a, b)))
% 38.41/7.12 = { by lemma 16 R->L }
% 38.41/7.12 join(meet(meet(join(a, b), a), meet(join(a, b), join(meet(join(join(a, b), meet(join(a, b), a)), join(a, b)), meet(join(join(a, b), meet(join(a, b), a)), join(join(meet(meet(join(X, join(join(a, b), Y)), join(Z, join(a, b))), join(a, b)), meet(join(a, b), a)), join(a, b)))))), meet(meet(join(a, b), a), join(a, b)))
% 38.41/7.12 = { by lemma 12 }
% 38.41/7.12 join(meet(meet(join(a, b), a), meet(join(a, b), join(meet(join(join(a, b), meet(join(a, b), a)), join(a, b)), meet(join(join(a, b), meet(join(a, b), a)), join(join(join(a, b), meet(join(a, b), a)), join(a, b)))))), meet(meet(join(a, b), a), join(a, b)))
% 38.41/7.12 = { by lemma 5 }
% 38.41/7.12 join(meet(meet(join(a, b), a), meet(join(a, b), join(join(a, b), meet(join(a, b), a)))), meet(meet(join(a, b), a), join(a, b)))
% 38.41/7.12 = { by lemma 17 }
% 38.41/7.12 join(meet(meet(join(a, b), a), meet(join(a, b), join(join(a, b), a))), meet(meet(join(a, b), a), join(a, b)))
% 38.41/7.12 = { by lemma 5 R->L }
% 38.41/7.12 join(meet(meet(join(a, b), a), meet(join(a, b), join(join(a, b), a))), meet(meet(join(a, b), a), join(meet(join(a, b), a), meet(join(a, b), join(join(a, b), a)))))
% 38.41/7.12 = { by lemma 5 }
% 38.41/7.12 meet(join(a, b), a)
% 38.41/7.12 = { by lemma 17 }
% 38.41/7.12 a
% 38.41/7.12 % SZS output end Proof
% 38.41/7.12
% 38.41/7.12 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------