%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : LAT085-1 : 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 : n024.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 18.57s 2.72s
% Output   : Proof 41.94s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT085-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug 24 04:41:39 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 18.57/2.72  Command-line arguments: --no-flatten-goal
% 18.57/2.72  
% 18.57/2.72  % SZS status Unsatisfiable
% 18.57/2.72  
% 34.19/4.88  % SZS output start Proof
% 34.19/4.88  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.
% 34.19/4.88  
% 34.19/4.88  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))).
% 34.19/4.88  Proof:
% 34.19/4.88    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)))
% 34.19/4.88  = { by axiom 1 (single_axiom) R->L }
% 34.19/4.88    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)))
% 34.19/4.88  = { by axiom 1 (single_axiom) }
% 34.19/4.90    join(meet(Y, Z), meet(Z, join(Y, Z)))
% 34.19/4.90  
% 34.19/4.90  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))).
% 34.19/4.90  Proof:
% 34.19/4.90    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)))
% 34.19/4.90  = { by lemma 2 R->L }
% 34.19/4.90    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)))
% 34.19/4.91  = { by lemma 2 R->L }
% 34.19/4.91    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)))
% 34.19/4.93  = { by lemma 2 R->L }
% 34.19/4.93    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)))
% 35.28/4.95  = { by lemma 2 R->L }
% 35.40/4.96    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)))
% 35.40/4.98  = { by lemma 2 R->L }
% 35.40/4.99    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)))
% 35.76/5.01  = { by lemma 2 R->L }
% 35.76/5.02    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)))
% 36.05/5.05  = { by lemma 2 R->L }
% 36.05/5.06    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)))
% 36.05/5.10  = { by lemma 2 R->L }
% 36.05/5.11    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)))
% 36.69/5.15  = { by lemma 2 R->L }
% 36.69/5.16    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)))
% 36.69/5.17  = { by lemma 2 R->L }
% 36.69/5.18    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)))
% 37.02/5.19  = { by lemma 2 R->L }
% 37.02/5.21    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)))
% 37.02/5.21  = { by lemma 2 R->L }
% 37.02/5.22    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)))
% 37.02/5.22  = { by lemma 2 R->L }
% 37.02/5.24    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)))
% 37.02/5.24  = { by lemma 2 }
% 37.02/5.24    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))))))))))
% 37.02/5.24  = { by lemma 2 }
% 37.02/5.24    join(meet(Y, Z), meet(Z, join(Y, Z)))
% 37.02/5.24  
% 37.02/5.24  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))).
% 37.02/5.24  Proof:
% 37.02/5.24    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)))
% 37.02/5.24  = { by lemma 3 R->L }
% 37.02/5.24    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)))
% 37.02/5.24  = { by lemma 3 R->L }
% 37.02/5.24    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)))
% 37.02/5.24  = { by lemma 3 }
% 37.43/5.25    join(meet(X, Y), meet(Y, join(X, Y)))
% 37.43/5.25  
% 37.43/5.25  Lemma 5: join(meet(X, Y), meet(X, join(X, Y))) = X.
% 37.43/5.25  Proof:
% 37.43/5.25    join(meet(X, Y), meet(X, join(X, Y)))
% 37.43/5.25  = { by axiom 1 (single_axiom) R->L }
% 37.43/5.25    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)))
% 37.43/5.25  = { by axiom 1 (single_axiom) R->L }
% 37.43/5.25    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)))
% 37.43/5.25  = { by axiom 1 (single_axiom) R->L }
% 37.43/5.25    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)))
% 37.43/5.25  = { by lemma 4 }
% 37.43/5.25    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)))))))
% 37.43/5.25  = { by axiom 1 (single_axiom) }
% 37.43/5.25    X
% 37.43/5.25  
% 37.43/5.25  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))).
% 37.43/5.25  Proof:
% 37.43/5.25    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)))
% 37.43/5.25  = { by lemma 5 R->L }
% 37.43/5.25    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)))
% 37.43/5.25  = { by lemma 2 }
% 37.52/5.26    join(meet(Y, X), meet(X, join(Y, X)))
% 37.52/5.26  
% 37.52/5.26  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.
% 37.52/5.26  Proof:
% 37.52/5.26    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)))
% 37.52/5.26  = { by axiom 1 (single_axiom) R->L }
% 37.52/5.26    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)))
% 37.52/5.27  = { by axiom 1 (single_axiom) R->L }
% 37.52/5.27    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, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, 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)))
% 37.52/5.28  = { by axiom 1 (single_axiom) R->L }
% 37.52/5.28    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)))
% 37.52/5.29  = { by axiom 1 (single_axiom) R->L }
% 37.52/5.29    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)))
% 37.88/5.31  = { by axiom 1 (single_axiom) R->L }
% 37.88/5.31    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)))
% 37.88/5.32  = { by axiom 1 (single_axiom) R->L }
% 37.88/5.33    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)))
% 37.88/5.35  = { by axiom 1 (single_axiom) R->L }
% 38.17/5.35    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, 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)))
% 38.17/5.37  = { by axiom 1 (single_axiom) R->L }
% 38.17/5.38    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(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)))
% 38.17/5.39  = { by axiom 1 (single_axiom) R->L }
% 38.17/5.40    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)))
% 38.17/5.43  = { by axiom 1 (single_axiom) R->L }
% 38.17/5.43    join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, 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join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, 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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)))
% 38.79/5.46  = { by axiom 1 (single_axiom) R->L }
% 38.79/5.47    join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, 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Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, 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)))
% 38.79/5.50  = { by axiom 1 (single_axiom) R->L }
% 38.79/5.51    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, 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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, 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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)))
% 38.79/5.54  = { by axiom 1 (single_axiom) R->L }
% 38.79/5.55    join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, 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Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, 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)))
% 38.79/5.58  = { by axiom 1 (single_axiom) R->L }
% 39.80/5.60    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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% 39.80/5.63  = { by axiom 1 (single_axiom) R->L }
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Y)), Y)), meet(S, 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, 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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)))
% 40.32/5.66  = { by axiom 1 (single_axiom) R->L }
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meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), 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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join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, 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)))
% 40.32/5.68  = { by axiom 1 (single_axiom) R->L }
% 40.32/5.69    join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), 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(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), Y))), Z)))
% 40.32/5.69  = { by axiom 1 (single_axiom) R->L }
% 40.32/5.71    join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, 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% 40.32/5.71  = { by axiom 1 (single_axiom) R->L }
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% 40.69/5.72  = { by lemma 3 }
% 40.69/5.72    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)))))))
% 40.69/5.72  = { by axiom 1 (single_axiom) }
% 40.69/5.72    Y
% 40.69/5.72  
% 40.69/5.72  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.
% 40.69/5.72  Proof:
% 40.69/5.72    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)))
% 40.69/5.72  = { by lemma 7 R->L }
% 40.69/5.72    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)))
% 40.69/5.72  = { by lemma 7 R->L }
% 40.69/5.72    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)))
% 40.69/5.73  = { by lemma 7 R->L }
% 40.69/5.73    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)))
% 40.69/5.73  = { by lemma 7 R->L }
% 40.69/5.73    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)))
% 40.69/5.73  = { by lemma 7 R->L }
% 40.69/5.73    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)))
% 40.69/5.74  = { by lemma 7 R->L }
% 40.69/5.74    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)))
% 40.69/5.74  = { by lemma 7 R->L }
% 40.69/5.74    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)))
% 40.69/5.74  = { by lemma 7 R->L }
% 40.69/5.75    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)))
% 40.69/5.75  = { by lemma 7 R->L }
% 40.69/5.75    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)))
% 40.99/5.75  = { by lemma 7 R->L }
% 40.99/5.75    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)))
% 40.99/5.75  = { by lemma 7 R->L }
% 40.99/5.75    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)))
% 40.99/5.75  = { by lemma 7 R->L }
% 40.99/5.76    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)))
% 40.99/5.76  = { by lemma 2 }
% 40.99/5.76    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)))
% 40.99/5.76  = { by lemma 7 }
% 40.99/5.76    Y
% 40.99/5.76  
% 40.99/5.76  Lemma 9: join(meet(X, Y), meet(Y, join(X, Y))) = Y.
% 40.99/5.76  Proof:
% 40.99/5.76    join(meet(X, Y), meet(Y, join(X, Y)))
% 40.99/5.76  = { by lemma 4 R->L }
% 40.99/5.76    join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Z), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 40.99/5.76  = { by lemma 6 R->L }
% 40.99/5.76    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)))
% 40.99/5.76  = { by lemma 6 R->L }
% 40.99/5.76    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)))
% 40.99/5.76  = { by lemma 6 R->L }
% 40.99/5.76    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)))
% 40.99/5.76  = { by lemma 8 }
% 40.99/5.76    Y
% 40.99/5.76  
% 40.99/5.76  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.
% 40.99/5.76  Proof:
% 40.99/5.76    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))))
% 40.99/5.76  = { by lemma 8 R->L }
% 40.99/5.76    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)))
% 40.99/5.76  = { by lemma 8 }
% 40.99/5.76    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)))
% 40.99/5.76  = { by lemma 8 }
% 40.99/5.76    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)))
% 40.99/5.76  = { by lemma 8 }
% 40.99/5.76    join(meet(Z, V), meet(Z, join(Z, V)))
% 40.99/5.76  = { by lemma 5 }
% 40.99/5.76    Z
% 40.99/5.77  
% 40.99/5.77  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.
% 40.99/5.77  Proof:
% 40.99/5.77    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))))
% 40.99/5.77  = { by lemma 10 R->L }
% 40.99/5.77    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))))))))
% 40.99/5.77  = { by lemma 5 R->L }
% 40.99/5.77    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))))))))
% 40.99/5.77  = { by lemma 9 R->L }
% 40.99/5.77    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))))))))
% 40.99/5.77  = { by lemma 9 R->L }
% 40.99/5.77    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))))))))
% 40.99/5.77  = { by axiom 1 (single_axiom) }
% 40.99/5.77    X
% 40.99/5.77  
% 40.99/5.77  Lemma 12: meet(meet(join(X, join(Y, Z)), join(W, Y)), Y) = Y.
% 40.99/5.77  Proof:
% 40.99/5.77    meet(meet(join(X, join(Y, Z)), join(W, Y)), Y)
% 40.99/5.77  = { by lemma 9 R->L }
% 40.99/5.77    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))))
% 40.99/5.77  = { by lemma 11 }
% 40.99/5.77    Y
% 40.99/5.77  
% 40.99/5.77  Lemma 13: join(meet(X, X), meet(Y, join(X, X))) = X.
% 40.99/5.77  Proof:
% 40.99/5.77    join(meet(X, X), meet(Y, join(X, X)))
% 40.99/5.77  = { by lemma 12 R->L }
% 40.99/5.77    join(meet(X, X), meet(Y, join(X, meet(meet(join(Z, join(X, W)), join(V, X)), X))))
% 40.99/5.77  = { by lemma 12 R->L }
% 40.99/5.77    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))))
% 40.99/5.77  = { by lemma 11 }
% 40.99/5.77    X
% 40.99/5.77  
% 40.99/5.77  Lemma 14: join(X, X) = X.
% 40.99/5.77  Proof:
% 40.99/5.77    join(X, X)
% 40.99/5.77  = { by lemma 13 R->L }
% 40.99/5.77    join(meet(join(X, X), join(X, X)), meet(X, join(join(X, X), join(X, X))))
% 40.99/5.77  = { by lemma 9 R->L }
% 40.99/5.77    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))))
% 40.99/5.77  = { by lemma 10 R->L }
% 40.99/5.77    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))))
% 40.99/5.78  = { by lemma 10 R->L }
% 40.99/5.78    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))))
% 40.99/5.78  = { by lemma 10 R->L }
% 40.99/5.78    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))))
% 40.99/5.78  = { by lemma 10 R->L }
% 40.99/5.78    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))))
% 40.99/5.78  = { by lemma 10 R->L }
% 40.99/5.78    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))))
% 40.99/5.78  = { by lemma 10 R->L }
% 40.99/5.78    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))))))))
% 40.99/5.78  = { by lemma 9 R->L }
% 40.99/5.78    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))))))))
% 40.99/5.78  = { by lemma 9 R->L }
% 40.99/5.78    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))))))))
% 40.99/5.78  = { by lemma 9 R->L }
% 40.99/5.78    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))))))))
% 40.99/5.78  = { by lemma 9 R->L }
% 40.99/5.78    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))))))))
% 40.99/5.78  = { by lemma 9 R->L }
% 40.99/5.79    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))))))))
% 40.99/5.79  = { by lemma 9 R->L }
% 40.99/5.79    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))))))))
% 40.99/5.79  = { by lemma 9 R->L }
% 40.99/5.79    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))))))))
% 40.99/5.79  = { by lemma 9 R->L }
% 40.99/5.79    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))))))))
% 40.99/5.79  = { by lemma 9 R->L }
% 40.99/5.79    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))))))))
% 40.99/5.79  = { by lemma 9 R->L }
% 40.99/5.79    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))))))))
% 40.99/5.79  = { by lemma 9 R->L }
% 40.99/5.79    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))))))))
% 40.99/5.79  = { by lemma 9 R->L }
% 40.99/5.80    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))))))))
% 40.99/5.80  = { by lemma 9 R->L }
% 40.99/5.80    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))))))))
% 40.99/5.80  = { by lemma 9 R->L }
% 40.99/5.80    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))))))))
% 40.99/5.80  = { by lemma 9 R->L }
% 40.99/5.80    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))))))))
% 40.99/5.80  = { by lemma 9 R->L }
% 40.99/5.80    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))))))))
% 40.99/5.80  = { by lemma 9 R->L }
% 40.99/5.80    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))))))))
% 40.99/5.81  = { by lemma 9 R->L }
% 40.99/5.81    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))))))))
% 40.99/5.81  = { by lemma 9 R->L }
% 40.99/5.81    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))))))))
% 40.99/5.81  = { by lemma 9 R->L }
% 40.99/5.81    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))))))))
% 40.99/5.81  = { by lemma 9 R->L }
% 40.99/5.81    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))))))))
% 40.99/5.82  = { by lemma 9 R->L }
% 40.99/5.82    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))))))))
% 40.99/5.82  = { by lemma 9 R->L }
% 40.99/5.82    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))))))))
% 40.99/5.82  = { by lemma 9 R->L }
% 40.99/5.82    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))))))))
% 40.99/5.82  = { by lemma 9 R->L }
% 40.99/5.82    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))))))))
% 40.99/5.83  = { by lemma 9 R->L }
% 40.99/5.83    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))))))))
% 40.99/5.83  = { by lemma 9 R->L }
% 40.99/5.83    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))))))))
% 40.99/5.83  = { by lemma 9 R->L }
% 40.99/5.84    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))))))))
% 41.61/5.84  = { by lemma 9 R->L }
% 41.61/5.84    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))))))))
% 41.61/5.84  = { by lemma 9 R->L }
% 41.61/5.84    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))))))))
% 41.61/5.85  = { by lemma 9 R->L }
% 41.61/5.85    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))))))))
% 41.61/5.85  = { by lemma 9 R->L }
% 41.61/5.85    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))))))))
% 41.61/5.85  = { by lemma 9 R->L }
% 41.61/5.85    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))))))))
% 41.61/5.86  = { by lemma 9 R->L }
% 41.61/5.86    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))))))))
% 41.61/5.86  = { by lemma 9 R->L }
% 41.61/5.86    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))))))))
% 41.61/5.87  = { by lemma 9 R->L }
% 41.61/5.87    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))))))))
% 41.61/5.87  = { by lemma 9 R->L }
% 41.61/5.87    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))))))))
% 41.61/5.88  = { by lemma 9 R->L }
% 41.61/5.88    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))))))))
% 41.61/5.88  = { by lemma 9 R->L }
% 41.61/5.88    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))))))))
% 41.94/5.88  = { by lemma 9 R->L }
% 41.94/5.89    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))))))))
% 41.94/5.89  = { by lemma 9 R->L }
% 41.94/5.89    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))))))))
% 41.94/5.89  = { by lemma 9 R->L }
% 41.94/5.89    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))))))))
% 41.94/5.89  = { by lemma 9 R->L }
% 41.94/5.89    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)))))))))))
% 41.94/5.89  = { by lemma 2 R->L }
% 41.94/5.90    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)))))))))))
% 41.94/5.90  = { by lemma 10 }
% 41.94/5.90    join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))
% 41.94/5.90  = { by lemma 9 }
% 41.94/5.90    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)))))))
% 41.94/5.90  = { by lemma 9 }
% 41.94/5.90    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)))))))
% 41.94/5.90  = { by lemma 9 }
% 41.94/5.90    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)))))))
% 41.94/5.90  = { by lemma 9 }
% 41.94/5.90    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)))))))
% 41.94/5.90  = { by lemma 9 }
% 41.94/5.90    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)))))))
% 41.94/5.90  = { by lemma 9 }
% 41.94/5.90    join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))
% 41.94/5.90  = { by lemma 10 }
% 41.94/5.90    X
% 41.94/5.90  
% 41.94/5.90  Lemma 15: meet(X, X) = X.
% 41.94/5.90  Proof:
% 41.94/5.90    meet(X, X)
% 41.94/5.90  = { by lemma 14 R->L }
% 41.94/5.90    join(meet(X, X), meet(X, X))
% 41.94/5.90  = { by lemma 14 R->L }
% 41.94/5.90    join(meet(X, X), meet(X, join(X, X)))
% 41.94/5.90  = { by lemma 5 }
% 41.94/5.90    X
% 41.94/5.90  
% 41.94/5.90  Lemma 16: join(join(meet(X, Y), meet(Y, Z)), Y) = Y.
% 41.94/5.90  Proof:
% 41.94/5.90    join(join(meet(X, Y), meet(Y, Z)), Y)
% 41.94/5.90  = { by lemma 13 R->L }
% 41.94/5.90    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))))
% 41.94/5.90  = { by lemma 10 }
% 41.94/5.90    Y
% 41.94/5.90  
% 41.94/5.90  Lemma 17: join(join(X, meet(X, Y)), X) = X.
% 41.94/5.90  Proof:
% 41.94/5.90    join(join(X, meet(X, Y)), X)
% 41.94/5.90  = { by lemma 12 R->L }
% 41.94/5.90    join(join(meet(meet(join(Z, join(X, W)), join(V, X)), X), meet(X, Y)), X)
% 41.94/5.90  = { by lemma 16 }
% 41.94/5.90    X
% 41.94/5.90  
% 41.94/5.90  Lemma 18: meet(meet(X, Y), Y) = meet(X, Y).
% 41.94/5.90  Proof:
% 41.94/5.90    meet(meet(X, Y), Y)
% 41.94/5.90  = { by lemma 14 R->L }
% 41.94/5.90    join(meet(meet(X, Y), Y), meet(meet(X, Y), Y))
% 41.94/5.90  = { by lemma 16 R->L }
% 41.94/5.90    join(meet(meet(X, Y), Y), meet(meet(X, Y), join(join(meet(X, Y), meet(Y, meet(X, Y))), Y)))
% 41.94/5.90  = { by lemma 14 R->L }
% 41.94/5.90    join(meet(meet(X, Y), Y), meet(meet(X, Y), join(join(meet(X, Y), meet(Y, join(meet(X, Y), meet(X, Y)))), Y)))
% 41.94/5.90  = { by lemma 15 R->L }
% 41.94/5.90    join(meet(meet(X, Y), Y), meet(meet(X, Y), join(join(meet(meet(X, Y), meet(X, Y)), meet(Y, join(meet(X, Y), meet(X, Y)))), Y)))
% 41.94/5.90  = { by lemma 13 }
% 41.94/5.90    join(meet(meet(X, Y), Y), meet(meet(X, Y), join(meet(X, Y), Y)))
% 41.94/5.90  = { by lemma 5 }
% 41.94/5.90    meet(X, Y)
% 41.94/5.90  
% 41.94/5.90  Lemma 19: join(meet(X, X), join(X, X)) = X.
% 41.94/5.90  Proof:
% 41.94/5.90    join(meet(X, X), join(X, X))
% 41.94/5.90  = { by lemma 12 R->L }
% 41.94/5.90    join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), join(X, X))
% 41.94/5.90  = { by lemma 12 R->L }
% 41.94/5.90    join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))
% 41.94/5.90  = { by lemma 12 R->L }
% 41.94/5.90    join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), meet(meet(join(V, join(join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), U)), join(T, join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)))), join(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X))))
% 41.94/5.90  = { by lemma 11 }
% 41.94/5.90    X
% 41.94/5.90  
% 41.94/5.90  Lemma 20: meet(meet(join(X, Y), join(Z, X)), X) = X.
% 41.94/5.90  Proof:
% 41.94/5.90    meet(meet(join(X, Y), join(Z, X)), X)
% 41.94/5.90  = { by lemma 14 R->L }
% 41.94/5.90    meet(meet(join(join(X, Y), join(X, Y)), join(Z, X)), X)
% 41.94/5.90  = { by lemma 12 }
% 41.94/5.90    X
% 41.94/5.90  
% 41.94/5.90  Lemma 21: meet(join(X, Y), X) = X.
% 41.94/5.90  Proof:
% 41.94/5.90    meet(join(X, Y), X)
% 41.94/5.90  = { by lemma 18 R->L }
% 41.94/5.90    meet(meet(join(X, Y), X), X)
% 41.94/5.90  = { by lemma 14 R->L }
% 41.94/5.90    meet(meet(join(join(X, X), Y), X), X)
% 41.94/5.90  = { by lemma 14 R->L }
% 41.94/5.90    meet(meet(join(join(X, X), Y), X), join(X, X))
% 41.94/5.90  = { by lemma 19 R->L }
% 41.94/5.90    meet(meet(join(join(X, X), Y), join(meet(X, X), join(X, X))), join(X, X))
% 41.94/5.90  = { by lemma 20 }
% 41.94/5.90    join(X, X)
% 41.94/5.90  = { by lemma 14 }
% 41.94/5.90    X
% 41.94/5.90  
% 41.94/5.90  Lemma 22: join(X, meet(X, Y)) = X.
% 41.94/5.90  Proof:
% 41.94/5.90    join(X, meet(X, Y))
% 41.94/5.90  = { by lemma 5 R->L }
% 41.94/5.90    join(meet(join(X, meet(X, Y)), X), meet(join(X, meet(X, Y)), join(join(X, meet(X, Y)), X)))
% 41.94/5.90  = { by lemma 17 }
% 41.94/5.90    join(meet(join(X, meet(X, Y)), X), meet(join(X, meet(X, Y)), X))
% 41.94/5.90  = { by lemma 14 }
% 41.94/5.90    meet(join(X, meet(X, Y)), X)
% 41.94/5.90  = { by lemma 21 }
% 41.94/5.90    X
% 41.94/5.90  
% 41.94/5.90  Lemma 23: meet(meet(X, Y), meet(Y, X)) = meet(Y, X).
% 41.94/5.90  Proof:
% 41.94/5.90    meet(meet(X, Y), meet(Y, X))
% 41.94/5.90  = { by lemma 22 R->L }
% 41.94/5.90    meet(meet(X, join(Y, meet(Y, X))), meet(Y, X))
% 41.94/5.90  = { by lemma 16 R->L }
% 41.94/5.90    meet(meet(X, join(Y, meet(Y, join(join(meet(Z, X), meet(X, W)), X)))), meet(Y, X))
% 41.94/5.90  = { by lemma 16 R->L }
% 41.94/5.90    meet(meet(X, join(Y, meet(Y, join(join(meet(Z, X), meet(X, W)), X)))), meet(Y, join(join(meet(Z, X), meet(X, W)), X)))
% 41.94/5.90  = { by lemma 10 R->L }
% 41.94/5.90    meet(meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(Y, meet(Y, join(join(meet(Z, X), meet(X, W)), X)))), meet(Y, join(join(meet(Z, X), meet(X, W)), X)))
% 41.94/5.90  = { by lemma 20 }
% 41.94/5.90    meet(Y, join(join(meet(Z, X), meet(X, W)), X))
% 41.94/5.90  = { by lemma 16 }
% 41.94/5.90    meet(Y, X)
% 41.94/5.90  
% 41.94/5.90  Lemma 24: meet(X, meet(X, Y)) = meet(X, Y).
% 41.94/5.90  Proof:
% 41.94/5.90    meet(X, meet(X, Y))
% 41.94/5.90  = { by lemma 5 R->L }
% 41.94/5.90    meet(join(meet(X, Y), meet(X, join(X, Y))), meet(X, Y))
% 41.94/5.90  = { by lemma 21 }
% 41.94/5.90    meet(X, Y)
% 41.94/5.90  
% 41.94/5.90  Lemma 25: join(meet(meet(X, Y), meet(X, join(X, Y))), meet(meet(X, Y), X)) = meet(X, Y).
% 41.94/5.90  Proof:
% 41.94/5.90    join(meet(meet(X, Y), meet(X, join(X, Y))), meet(meet(X, Y), X))
% 41.94/5.90  = { by lemma 5 R->L }
% 41.94/5.90    join(meet(meet(X, Y), meet(X, join(X, Y))), meet(meet(X, Y), join(meet(X, Y), meet(X, join(X, Y)))))
% 41.94/5.90  = { by lemma 5 }
% 41.94/5.90    meet(X, Y)
% 41.94/5.90  
% 41.94/5.90  Lemma 26: meet(X, Y) = meet(Y, X).
% 41.94/5.90  Proof:
% 41.94/5.90    meet(X, Y)
% 41.94/5.90  = { by lemma 23 R->L }
% 41.94/5.90    meet(meet(Y, X), meet(X, Y))
% 41.94/5.90  = { by lemma 24 R->L }
% 41.94/5.90    meet(meet(Y, X), meet(meet(Y, X), meet(X, Y)))
% 41.94/5.90  = { by lemma 25 R->L }
% 41.94/5.90    join(meet(meet(meet(Y, X), meet(meet(Y, X), meet(X, Y))), meet(meet(Y, X), join(meet(Y, X), meet(meet(Y, X), meet(X, Y))))), meet(meet(meet(Y, X), meet(meet(Y, X), meet(X, Y))), meet(Y, X)))
% 41.94/5.90  = { by lemma 24 }
% 41.94/5.90    join(meet(meet(meet(Y, X), meet(X, Y)), meet(meet(Y, X), join(meet(Y, X), meet(meet(Y, X), meet(X, Y))))), meet(meet(meet(Y, X), meet(meet(Y, X), meet(X, Y))), meet(Y, X)))
% 41.94/5.90  = { by lemma 22 }
% 41.94/5.90    join(meet(meet(meet(Y, X), meet(X, Y)), meet(meet(Y, X), meet(Y, X))), meet(meet(meet(Y, X), meet(meet(Y, X), meet(X, Y))), meet(Y, X)))
% 41.94/5.90  = { by lemma 15 }
% 41.94/5.90    join(meet(meet(meet(Y, X), meet(X, Y)), meet(Y, X)), meet(meet(meet(Y, X), meet(meet(Y, X), meet(X, Y))), meet(Y, X)))
% 41.94/5.90  = { by lemma 24 }
% 41.94/5.90    join(meet(meet(meet(Y, X), meet(X, Y)), meet(Y, X)), meet(meet(meet(Y, X), meet(X, Y)), meet(Y, X)))
% 41.94/5.90  = { by lemma 14 }
% 41.94/5.90    meet(meet(meet(Y, X), meet(X, Y)), meet(Y, X))
% 41.94/5.90  = { by lemma 23 }
% 41.94/5.90    meet(meet(X, Y), meet(Y, X))
% 41.94/5.90  = { by lemma 23 }
% 41.94/5.90    meet(Y, X)
% 41.94/5.90  
% 41.94/5.90  Lemma 27: join(join(meet(X, join(Y, Z)), Y), join(Y, Z)) = join(Y, Z).
% 41.94/5.90  Proof:
% 41.94/5.90    join(join(meet(X, join(Y, Z)), Y), join(Y, Z))
% 41.94/5.90  = { by lemma 21 R->L }
% 41.94/5.90    join(join(meet(X, join(Y, Z)), meet(join(Y, Z), Y)), join(Y, Z))
% 41.94/5.90  = { by lemma 16 }
% 41.94/5.90    join(Y, Z)
% 41.94/5.90  
% 41.94/5.90  Lemma 28: join(join(X, Y), join(Y, X)) = join(Y, X).
% 41.94/5.90  Proof:
% 41.94/5.90    join(join(X, Y), join(Y, X))
% 41.94/5.90  = { by lemma 22 R->L }
% 41.94/5.90    join(join(join(X, meet(X, join(Y, X))), Y), join(Y, X))
% 41.94/5.90  = { by lemma 12 R->L }
% 41.94/5.90    join(join(join(meet(meet(join(meet(X, X), join(X, X)), join(Y, X)), X), meet(X, join(Y, X))), Y), join(Y, X))
% 41.94/5.90  = { by lemma 19 }
% 41.94/5.90    join(join(join(meet(meet(X, join(Y, X)), X), meet(X, join(Y, X))), Y), join(Y, X))
% 41.94/5.90  = { by lemma 15 R->L }
% 41.94/5.90    join(join(join(meet(meet(X, join(Y, X)), X), meet(meet(X, join(Y, X)), meet(X, join(Y, X)))), Y), join(Y, X))
% 41.94/5.90  = { by lemma 22 R->L }
% 41.94/5.90    join(join(join(meet(meet(X, join(Y, X)), X), meet(meet(X, join(Y, X)), join(meet(X, join(Y, X)), meet(meet(X, join(Y, X)), X)))), Y), join(Y, X))
% 41.94/5.90  = { by lemma 24 R->L }
% 41.94/5.90    join(join(join(meet(meet(X, join(Y, X)), meet(meet(X, join(Y, X)), X)), meet(meet(X, join(Y, X)), join(meet(X, join(Y, X)), meet(meet(X, join(Y, X)), X)))), Y), join(Y, X))
% 41.94/5.90  = { by lemma 5 }
% 41.94/5.90    join(join(meet(X, join(Y, X)), Y), join(Y, X))
% 41.94/5.90  = { by lemma 27 }
% 41.94/5.90    join(Y, X)
% 41.94/5.90  
% 41.94/5.90  Lemma 29: join(join(X, Y), X) = join(X, Y).
% 41.94/5.90  Proof:
% 41.94/5.90    join(join(X, Y), X)
% 41.94/5.90  = { by lemma 21 R->L }
% 41.94/5.90    join(join(X, Y), meet(join(X, Y), X))
% 41.94/5.90  = { by lemma 22 }
% 41.94/5.90    join(X, Y)
% 41.94/5.90  
% 41.94/5.90  Lemma 30: join(X, Y) = join(Y, X).
% 41.94/5.90  Proof:
% 41.94/5.90    join(X, Y)
% 41.94/5.90  = { by lemma 28 R->L }
% 41.94/5.90    join(join(Y, X), join(X, Y))
% 41.94/5.90  = { by lemma 29 R->L }
% 41.94/5.90    join(join(join(Y, X), join(X, Y)), join(Y, X))
% 41.94/5.90  = { by lemma 28 }
% 41.94/5.90    join(join(X, Y), join(Y, X))
% 41.94/5.90  = { by lemma 28 }
% 41.94/5.90    join(Y, X)
% 41.94/5.90  
% 41.94/5.90  Lemma 31: meet(X, join(X, Y)) = X.
% 41.94/5.90  Proof:
% 41.94/5.90    meet(X, join(X, Y))
% 41.94/5.90  = { by lemma 14 R->L }
% 41.94/5.90    join(meet(X, join(X, Y)), meet(X, join(X, Y)))
% 41.94/5.90  = { by lemma 15 R->L }
% 41.94/5.90    join(meet(X, meet(join(X, Y), join(X, Y))), meet(X, join(X, Y)))
% 41.94/5.90  = { by lemma 21 R->L }
% 41.94/5.90    join(meet(meet(join(X, Y), X), meet(join(X, Y), join(X, Y))), meet(X, join(X, Y)))
% 41.94/5.90  = { by lemma 21 R->L }
% 41.94/5.90    join(meet(meet(join(X, Y), X), meet(join(X, Y), join(X, Y))), meet(meet(join(X, Y), X), join(X, Y)))
% 41.94/5.90  = { by lemma 29 R->L }
% 41.94/5.90    join(meet(meet(join(X, Y), X), meet(join(X, Y), join(join(X, Y), X))), meet(meet(join(X, Y), X), join(X, Y)))
% 41.94/5.90  = { by lemma 25 }
% 41.94/5.90    meet(join(X, Y), X)
% 41.94/5.90  = { by lemma 21 }
% 41.94/5.90    X
% 41.94/5.90  
% 41.94/5.90  Lemma 32: join(join(X, Y), join(X, join(Y, Z))) = join(X, join(Y, Z)).
% 41.94/5.90  Proof:
% 41.94/5.90    join(join(X, Y), join(X, join(Y, Z)))
% 41.94/5.90  = { by lemma 30 R->L }
% 41.94/5.91    join(join(Y, X), join(X, join(Y, Z)))
% 41.94/5.91  = { by lemma 5 R->L }
% 41.94/5.91    join(join(join(meet(Y, join(X, join(Y, Z))), meet(Y, join(Y, join(X, join(Y, Z))))), X), join(X, join(Y, Z)))
% 41.94/5.91  = { by lemma 31 R->L }
% 41.94/5.91    join(join(join(meet(Y, join(X, join(Y, Z))), meet(Y, join(Y, meet(join(X, join(Y, Z)), join(join(X, join(Y, Z)), Y))))), X), join(X, join(Y, Z)))
% 41.94/5.91  = { by lemma 12 R->L }
% 41.94/5.91    join(join(join(meet(Y, join(X, join(Y, Z))), meet(Y, join(meet(meet(join(X, join(Y, Z)), join(Y, Y)), Y), meet(join(X, join(Y, Z)), join(join(X, join(Y, Z)), Y))))), X), join(X, join(Y, Z)))
% 41.94/5.91  = { by lemma 14 }
% 41.94/5.91    join(join(join(meet(Y, join(X, join(Y, Z))), meet(Y, join(meet(meet(join(X, join(Y, Z)), Y), Y), meet(join(X, join(Y, Z)), join(join(X, join(Y, Z)), Y))))), X), join(X, join(Y, Z)))
% 41.94/5.91  = { by lemma 18 }
% 41.94/5.91    join(join(join(meet(Y, join(X, join(Y, Z))), meet(Y, join(meet(join(X, join(Y, Z)), Y), meet(join(X, join(Y, Z)), join(join(X, join(Y, Z)), Y))))), X), join(X, join(Y, Z)))
% 41.94/5.91  = { by lemma 5 }
% 41.94/5.91    join(join(join(meet(Y, join(X, join(Y, Z))), meet(Y, join(X, join(Y, Z)))), X), join(X, join(Y, Z)))
% 41.94/5.91  = { by lemma 14 }
% 41.94/5.91    join(join(meet(Y, join(X, join(Y, Z))), X), join(X, join(Y, Z)))
% 41.94/5.91  = { by lemma 27 }
% 41.94/5.91    join(X, join(Y, Z))
% 41.94/5.91  
% 41.94/5.91  Lemma 33: join(join(X, Y), join(X, Z)) = join(Z, join(X, Y)).
% 41.94/5.91  Proof:
% 41.94/5.91    join(join(X, Y), join(X, Z))
% 41.94/5.91  = { by lemma 30 R->L }
% 41.94/5.91    join(join(X, Y), join(Z, X))
% 41.94/5.91  = { by lemma 32 R->L }
% 41.94/5.91    join(join(join(X, Y), Z), join(join(X, Y), join(Z, X)))
% 41.94/5.91  = { by lemma 31 R->L }
% 41.94/5.91    join(join(join(X, Y), Z), join(join(X, Y), meet(join(Z, X), join(join(Z, X), join(Z, join(X, Y))))))
% 41.94/5.91  = { by lemma 32 }
% 41.94/5.91    join(join(join(X, Y), Z), join(join(X, Y), meet(join(Z, X), join(Z, join(X, Y)))))
% 41.94/5.91  = { by lemma 30 }
% 41.94/5.91    join(join(join(X, Y), Z), join(join(X, Y), meet(join(Z, X), join(join(X, Y), Z))))
% 41.94/5.91  = { by lemma 26 R->L }
% 41.94/5.91    join(join(join(X, Y), Z), join(join(X, Y), meet(join(join(X, Y), Z), join(Z, X))))
% 41.94/5.91  = { by lemma 21 R->L }
% 41.94/5.91    join(join(join(X, Y), Z), join(meet(join(join(X, Y), Z), join(X, Y)), meet(join(join(X, Y), Z), join(Z, X))))
% 41.94/5.91  = { by lemma 26 R->L }
% 41.94/5.91    join(join(join(X, Y), Z), join(meet(join(X, Y), join(join(X, Y), Z)), meet(join(join(X, Y), Z), join(Z, X))))
% 41.94/5.91  = { by lemma 29 R->L }
% 41.94/5.91    join(join(join(join(X, Y), Z), join(meet(join(X, Y), join(join(X, Y), Z)), meet(join(join(X, Y), Z), join(Z, X)))), join(join(X, Y), Z))
% 41.94/5.91  = { by lemma 5 R->L }
% 41.94/5.91    join(join(join(join(X, Y), Z), join(meet(join(meet(join(X, Y), join(join(X, Y), Z)), meet(join(join(X, Y), Z), join(Z, X))), join(join(X, Y), Z)), meet(join(meet(join(X, Y), join(join(X, Y), Z)), meet(join(join(X, Y), Z), join(Z, X))), join(join(meet(join(X, Y), join(join(X, Y), Z)), meet(join(join(X, Y), Z), join(Z, X))), join(join(X, Y), Z))))), join(join(X, Y), Z))
% 41.94/5.91  = { by lemma 16 }
% 41.94/5.91    join(join(join(join(X, Y), Z), join(meet(join(meet(join(X, Y), join(join(X, Y), Z)), meet(join(join(X, Y), Z), join(Z, X))), join(join(X, Y), Z)), meet(join(meet(join(X, Y), join(join(X, Y), Z)), meet(join(join(X, Y), Z), join(Z, X))), join(join(X, Y), Z)))), join(join(X, Y), Z))
% 41.94/5.91  = { by lemma 14 }
% 41.94/5.91    join(join(join(join(X, Y), Z), meet(join(meet(join(X, Y), join(join(X, Y), Z)), meet(join(join(X, Y), Z), join(Z, X))), join(join(X, Y), Z))), join(join(X, Y), Z))
% 41.94/5.91  = { by lemma 26 }
% 41.94/5.91    join(join(join(join(X, Y), Z), meet(join(join(X, Y), Z), join(meet(join(X, Y), join(join(X, Y), Z)), meet(join(join(X, Y), Z), join(Z, X))))), join(join(X, Y), Z))
% 41.94/5.91  = { by lemma 17 }
% 41.94/5.91    join(join(X, Y), Z)
% 41.94/5.91  = { by lemma 30 }
% 41.94/5.91    join(Z, join(X, Y))
% 41.94/5.91  
% 41.94/5.91  Goal 1 (prove_normal_axioms_6): join(join(a, b), c) = join(a, join(b, c)).
% 41.94/5.91  Proof:
% 41.94/5.91    join(join(a, b), c)
% 41.94/5.91  = { by lemma 30 }
% 41.94/5.91    join(c, join(a, b))
% 41.94/5.91  = { by lemma 30 R->L }
% 41.94/5.91    join(c, join(b, a))
% 41.94/5.91  = { by lemma 33 R->L }
% 41.94/5.91    join(join(b, a), join(b, c))
% 41.94/5.91  = { by lemma 30 R->L }
% 41.94/5.91    join(join(b, c), join(b, a))
% 41.94/5.91  = { by lemma 33 }
% 41.94/5.91    join(a, join(b, c))
% 41.94/5.91  % SZS output end Proof
% 41.94/5.91  
% 41.94/5.91  RESULT: Unsatisfiable (the axioms are contradictory).
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