%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : LAT082-1 : 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 : n011.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 06:27:22 EDT 2023

% Result   : Unsatisfiable 15.62s 2.38s
% Output   : Proof 38.02s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT082-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.13  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.33  % Computer : n011.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 07:07:52 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 15.62/2.38  Command-line arguments: --no-flatten-goal
% 15.62/2.38  
% 15.62/2.38  % SZS status Unsatisfiable
% 15.62/2.38  
% 29.83/4.46  % SZS output start Proof
% 29.83/4.46  Axiom 1 (single_axiom): join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Z), meet(join(meet(X, join(join(meet(W, Y), meet(Y, V)), Y)), meet(join(meet(Y, meet(meet(join(W, join(Y, V)), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(W, join(Y, V)), join(U, Y)), Y)))), join(X, join(join(meet(W, Y), meet(Y, V)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z))) = Y.
% 29.83/4.46  
% 29.83/4.46  Lemma 2: join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), W), meet(join(meet(X, join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), W))) = join(meet(Y, Z), meet(Z, join(Y, Z))).
% 29.83/4.46  Proof:
% 29.83/4.46    join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), W), meet(join(meet(X, join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 29.83/4.46  = { by axiom 1 (single_axiom) R->L }
% 29.83/4.46    join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), W), meet(join(meet(X, join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), meet(meet(join(V, join(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(T, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(join(meet(Y, join(join(meet(S, Z), meet(Z, X2)), Z)), meet(join(meet(Z, meet(meet(join(S, join(Z, X2)), join(Y2, Z)), Z)), meet(Z2, join(Z, meet(meet(join(S, join(Z, X2)), join(Y2, Z)), Z)))), join(Y, join(join(meet(S, Z), meet(Z, X2)), Z)))), join(join(meet(Y, Z), meet(Z, join(Y, Z))), meet(meet(join(V, join(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(T, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(X, join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 29.83/4.46  = { by axiom 1 (single_axiom) }
% 29.83/4.47    join(meet(Y, Z), meet(Z, join(Y, Z)))
% 29.83/4.47  
% 29.83/4.47  Lemma 3: join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W))) = join(meet(Y, Z), meet(Z, join(Y, Z))).
% 29.83/4.47  Proof:
% 29.83/4.47    join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 29.83/4.48  = { by lemma 2 R->L }
% 29.83/4.48    join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 29.83/4.49  = { by lemma 2 R->L }
% 29.83/4.49    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)))
% 29.83/4.50  = { by lemma 2 R->L }
% 29.83/4.51    join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 29.83/4.53  = { by lemma 2 R->L }
% 29.83/4.53    join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 29.83/4.56  = { by lemma 2 R->L }
% 29.83/4.56    join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 29.83/4.59  = { by lemma 2 R->L }
% 29.83/4.60    join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 31.47/4.63  = { by lemma 2 R->L }
% 31.47/4.64    join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 31.47/4.68  = { by lemma 2 R->L }
% 31.47/4.69    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)))
% 32.05/4.74  = { by lemma 2 R->L }
% 32.05/4.75    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)))
% 32.05/4.76  = { by lemma 2 R->L }
% 32.05/4.78    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)))
% 32.54/4.79  = { by lemma 2 R->L }
% 32.54/4.80    join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 32.54/4.80  = { by lemma 2 R->L }
% 32.54/4.82    join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W)))
% 32.54/4.82  = { by lemma 2 R->L }
% 32.54/4.84    join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W)))
% 32.54/4.84  = { by lemma 2 }
% 32.54/4.84    join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))
% 32.54/4.84  = { by lemma 2 }
% 32.54/4.84    join(meet(Y, Z), meet(Z, join(Y, Z)))
% 32.54/4.84  
% 32.54/4.84  Lemma 4: join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Z), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z))) = join(meet(X, Y), meet(Y, join(X, Y))).
% 32.54/4.84  Proof:
% 32.54/4.84    join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Z), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 32.54/4.84  = { by lemma 3 R->L }
% 32.54/4.84    join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Z), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(join(meet(join(meet(W, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(W, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(W, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(W, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(join(meet(W, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(W, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(W, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(W, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), Z)))
% 32.54/4.84  = { by lemma 3 R->L }
% 32.54/4.84    join(meet(join(meet(join(meet(join(meet(W, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(W, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(W, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(W, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(join(meet(W, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(W, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(W, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(W, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), Z), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(join(meet(join(meet(W, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(W, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(W, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(W, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(join(meet(W, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(W, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(W, join(meet(X, Y), meet(Y, join(X, Y)))), meet(join(meet(X, Y), meet(Y, join(X, Y))), join(W, join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), join(meet(X, Y), meet(Y, join(X, Y)))))), Z)))
% 32.54/4.84  = { by lemma 3 }
% 32.54/4.85    join(meet(X, Y), meet(Y, join(X, Y)))
% 32.54/4.85  
% 32.54/4.85  Lemma 5: join(meet(X, Y), meet(X, join(X, Y))) = X.
% 32.54/4.85  Proof:
% 32.54/4.85    join(meet(X, Y), meet(X, join(X, Y)))
% 32.54/4.85  = { by axiom 1 (single_axiom) R->L }
% 32.54/4.85    join(meet(X, Y), meet(join(meet(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(W, X), meet(X, V)), X)), meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(T, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), join(Z, join(join(meet(W, X), meet(X, V)), X))))), meet(join(meet(Z, join(join(meet(W, X), meet(X, V)), X)), meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(T, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), join(Z, join(join(meet(W, X), meet(X, V)), X)))), join(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(W, X), meet(X, V)), X)), meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(T, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), join(Z, join(join(meet(W, X), meet(X, V)), X))))))), join(X, Y)))
% 32.54/4.85  = { by axiom 1 (single_axiom) R->L }
% 32.54/4.85    join(meet(X, Y), meet(join(meet(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(W, X), meet(X, V)), X)), meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(T, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), join(Z, join(join(meet(W, X), meet(X, V)), X))))), meet(join(meet(Z, join(join(meet(W, X), meet(X, V)), X)), meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(T, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), join(Z, join(join(meet(W, X), meet(X, V)), X)))), join(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(W, X), meet(X, V)), X)), meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(T, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), join(Z, join(join(meet(W, X), meet(X, V)), X))))))), join(join(meet(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(W, X), meet(X, V)), X)), meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(T, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), join(Z, join(join(meet(W, X), meet(X, V)), X))))), meet(join(meet(Z, join(join(meet(W, X), meet(X, V)), X)), meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(T, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), join(Z, join(join(meet(W, X), meet(X, V)), X)))), join(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(W, X), meet(X, V)), X)), meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(T, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), join(Z, join(join(meet(W, X), meet(X, V)), X))))))), Y)))
% 32.54/4.85  = { by axiom 1 (single_axiom) R->L }
% 32.54/4.85    join(meet(join(meet(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(W, X), meet(X, V)), X)), meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(T, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), join(Z, join(join(meet(W, X), meet(X, V)), X))))), meet(join(meet(Z, join(join(meet(W, X), meet(X, V)), X)), meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(T, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), join(Z, join(join(meet(W, X), meet(X, V)), X)))), join(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(W, X), meet(X, V)), X)), meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(T, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), join(Z, join(join(meet(W, X), meet(X, V)), X))))))), Y), meet(join(meet(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(W, X), meet(X, V)), X)), meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(T, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), join(Z, join(join(meet(W, X), meet(X, V)), X))))), meet(join(meet(Z, join(join(meet(W, X), meet(X, V)), X)), meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(T, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), join(Z, join(join(meet(W, X), meet(X, V)), X)))), join(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(W, X), meet(X, V)), X)), meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(T, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), join(Z, join(join(meet(W, X), meet(X, V)), X))))))), join(join(meet(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(W, X), meet(X, V)), X)), meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(T, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), join(Z, join(join(meet(W, X), meet(X, V)), X))))), meet(join(meet(Z, join(join(meet(W, X), meet(X, V)), X)), meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(T, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), join(Z, join(join(meet(W, X), meet(X, V)), X)))), join(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(W, X), meet(X, V)), X)), meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(T, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), join(Z, join(join(meet(W, X), meet(X, V)), X))))))), Y)))
% 32.54/4.85  = { by lemma 4 }
% 32.54/4.85    join(meet(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(W, X), meet(X, V)), X)), meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(T, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), join(Z, join(join(meet(W, X), meet(X, V)), X))))), meet(join(meet(Z, join(join(meet(W, X), meet(X, V)), X)), meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(T, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), join(Z, join(join(meet(W, X), meet(X, V)), X)))), join(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(W, X), meet(X, V)), X)), meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(T, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), join(Z, join(join(meet(W, X), meet(X, V)), X)))))))
% 32.54/4.85  = { by axiom 1 (single_axiom) }
% 32.54/4.85    X
% 32.54/4.85  
% 32.54/4.85  Lemma 6: join(meet(join(meet(X, join(meet(Y, X), meet(X, join(Y, X)))), meet(join(meet(Y, X), meet(X, join(Y, X))), join(X, join(meet(Y, X), meet(X, join(Y, X)))))), Z), meet(X, join(join(meet(X, join(meet(Y, X), meet(X, join(Y, X)))), meet(join(meet(Y, X), meet(X, join(Y, X))), join(X, join(meet(Y, X), meet(X, join(Y, X)))))), Z))) = join(meet(Y, X), meet(X, join(Y, X))).
% 32.54/4.85  Proof:
% 32.54/4.85    join(meet(join(meet(X, join(meet(Y, X), meet(X, join(Y, X)))), meet(join(meet(Y, X), meet(X, join(Y, X))), join(X, join(meet(Y, X), meet(X, join(Y, X)))))), Z), meet(X, join(join(meet(X, join(meet(Y, X), meet(X, join(Y, X)))), meet(join(meet(Y, X), meet(X, join(Y, X))), join(X, join(meet(Y, X), meet(X, join(Y, X)))))), Z)))
% 32.54/4.85  = { by lemma 5 R->L }
% 32.54/4.85    join(meet(join(meet(X, join(meet(Y, X), meet(X, join(Y, X)))), meet(join(meet(Y, X), meet(X, join(Y, X))), join(X, join(meet(Y, X), meet(X, join(Y, X)))))), Z), meet(join(meet(X, join(join(meet(W, join(meet(Y, X), meet(X, join(Y, X)))), meet(join(meet(Y, X), meet(X, join(Y, X))), V)), join(meet(Y, X), meet(X, join(Y, X))))), meet(X, join(X, join(join(meet(W, join(meet(Y, X), meet(X, join(Y, X)))), meet(join(meet(Y, X), meet(X, join(Y, X))), V)), join(meet(Y, X), meet(X, join(Y, X))))))), join(join(meet(X, join(meet(Y, X), meet(X, join(Y, X)))), meet(join(meet(Y, X), meet(X, join(Y, X))), join(X, join(meet(Y, X), meet(X, join(Y, X)))))), Z)))
% 32.54/4.85  = { by lemma 2 }
% 32.54/4.86    join(meet(Y, X), meet(X, join(Y, X)))
% 32.54/4.86  
% 32.54/4.86  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.
% 32.54/4.86  Proof:
% 32.54/4.86    join(meet(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z), meet(Y, join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 33.14/4.87  = { by axiom 1 (single_axiom) R->L }
% 33.14/4.87    join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z), meet(Y, join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 33.14/4.87  = { by axiom 1 (single_axiom) R->L }
% 33.14/4.88    join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z), meet(Y, join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 33.28/4.89  = { by axiom 1 (single_axiom) R->L }
% 33.28/4.89    join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z), meet(Y, join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 33.28/4.90  = { by axiom 1 (single_axiom) R->L }
% 33.28/4.90    join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z), meet(Y, join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 33.49/4.92  = { by axiom 1 (single_axiom) R->L }
% 33.49/4.92    join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(Y, join(X, Y))), Y))), Z), meet(Y, join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 33.57/4.93  = { by axiom 1 (single_axiom) R->L }
% 33.57/4.94    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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Y))), Y))), Z), meet(Y, join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 33.57/4.96  = { by axiom 1 (single_axiom) R->L }
% 33.57/4.96    join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, 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join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), Y))), Z), meet(Y, join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 33.57/4.98  = { by axiom 1 (single_axiom) R->L }
% 33.57/4.99    join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, 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meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), Z), meet(Y, join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 34.13/5.01  = { by axiom 1 (single_axiom) R->L }
% 34.13/5.02    join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, 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meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 34.13/5.04  = { by axiom 1 (single_axiom) R->L }
% 34.13/5.05    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)))
% 34.62/5.08  = { by axiom 1 (single_axiom) R->L }
% 34.62/5.09    join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, 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meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 34.62/5.12  = { by axiom 1 (single_axiom) R->L }
% 34.62/5.13    join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, 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join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, 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, 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meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 34.62/5.17  = { by axiom 1 (single_axiom) R->L }
% 34.62/5.18    join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, 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join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, 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meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), Z), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 34.62/5.22  = { by axiom 1 (single_axiom) R->L }
% 34.62/5.23    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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% 34.62/5.27  = { 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)))
% 36.15/5.30  = { by axiom 1 (single_axiom) R->L }
% 36.15/5.32    join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(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, Y))), Y))), Z)))
% 36.15/5.32  = { by axiom 1 (single_axiom) R->L }
% 36.37/5.34    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)))
% 36.37/5.34  = { by axiom 1 (single_axiom) R->L }
% 36.37/5.35    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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% 36.37/5.35  = { by axiom 1 (single_axiom) R->L }
% 36.37/5.37    join(meet(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, 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% 36.37/5.37  = { by lemma 3 }
% 36.37/5.37    join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))
% 36.37/5.37  = { by axiom 1 (single_axiom) }
% 36.37/5.37    Y
% 36.37/5.37  
% 36.37/5.37  Lemma 8: join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Z), meet(join(meet(X, join(join(meet(W, Y), meet(Y, V)), Y)), meet(Y, join(X, join(join(meet(W, Y), meet(Y, V)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z))) = Y.
% 36.37/5.37  Proof:
% 36.37/5.37    join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Z), meet(join(meet(X, join(join(meet(W, Y), meet(Y, V)), Y)), meet(Y, join(X, join(join(meet(W, Y), meet(Y, V)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 36.37/5.37  = { by lemma 7 R->L }
% 36.37/5.37    join(meet(join(meet(X, Y), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), join(X, Y))), Z), meet(join(meet(X, join(join(meet(W, Y), meet(Y, V)), Y)), meet(Y, join(X, join(join(meet(W, Y), meet(Y, V)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 36.37/5.37  = { by lemma 7 R->L }
% 36.37/5.37    join(meet(join(meet(X, Y), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), join(X, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))))), Z), meet(join(meet(X, join(join(meet(W, Y), meet(Y, V)), Y)), meet(Y, join(X, join(join(meet(W, Y), meet(Y, V)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 36.37/5.38  = { by lemma 7 R->L }
% 36.37/5.38    join(meet(join(meet(X, Y), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), join(X, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))))), Z), meet(join(meet(X, join(join(meet(W, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(Y, V)), Y)), meet(Y, join(X, join(join(meet(W, Y), meet(Y, V)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 36.37/5.38  = { by lemma 7 R->L }
% 36.37/5.38    join(meet(join(meet(X, Y), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), join(X, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))))), Z), meet(join(meet(X, join(join(meet(W, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), V)), Y)), meet(Y, join(X, join(join(meet(W, Y), meet(Y, V)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 36.37/5.38  = { by lemma 7 R->L }
% 36.37/5.38    join(meet(join(meet(X, Y), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), join(X, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))))), Z), meet(join(meet(X, join(join(meet(W, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), V)), join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))))), meet(Y, join(X, join(join(meet(W, Y), meet(Y, V)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 36.37/5.39  = { by lemma 7 R->L }
% 36.37/5.39    join(meet(join(meet(X, Y), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), join(X, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))))), Z), meet(join(meet(X, join(join(meet(W, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), V)), join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))))), meet(Y, join(X, join(join(meet(W, join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))), meet(Y, V)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 36.37/5.39  = { by lemma 7 R->L }
% 36.37/5.39    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)))
% 36.37/5.40  = { by lemma 7 R->L }
% 36.37/5.40    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)))
% 36.37/5.40  = { by lemma 7 R->L }
% 36.37/5.40    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)))
% 36.37/5.40  = { by lemma 7 R->L }
% 36.37/5.41    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)))
% 36.37/5.41  = { by lemma 7 R->L }
% 36.37/5.41    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)))
% 36.37/5.41  = { by lemma 7 R->L }
% 36.37/5.41    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)))
% 36.37/5.41  = { by lemma 2 }
% 36.37/5.41    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)))
% 36.37/5.41  = { by lemma 7 }
% 36.37/5.41    Y
% 36.37/5.41  
% 36.37/5.41  Lemma 9: join(meet(X, Y), meet(Y, join(X, Y))) = Y.
% 36.37/5.41  Proof:
% 36.37/5.41    join(meet(X, Y), meet(Y, join(X, Y)))
% 36.37/5.41  = { by lemma 4 R->L }
% 36.37/5.41    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)))
% 36.37/5.41  = { by lemma 6 R->L }
% 36.37/5.41    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)))
% 36.37/5.41  = { by lemma 6 R->L }
% 36.37/5.41    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)))
% 36.37/5.41  = { by lemma 6 R->L }
% 36.37/5.42    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)))
% 36.37/5.42  = { by lemma 8 }
% 36.37/5.42    Y
% 36.37/5.42  
% 36.37/5.42  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.
% 36.37/5.42  Proof:
% 36.37/5.42    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))))
% 36.37/5.42  = { by lemma 8 R->L }
% 36.37/5.42    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)))
% 36.37/5.42  = { by lemma 8 }
% 36.37/5.42    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)))
% 36.37/5.42  = { by lemma 8 }
% 36.37/5.42    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)))
% 36.37/5.42  = { by lemma 8 }
% 36.37/5.42    join(meet(Z, V), meet(Z, join(Z, V)))
% 36.37/5.42  = { by lemma 5 }
% 36.37/5.42    Z
% 36.37/5.42  
% 36.37/5.42  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.
% 36.37/5.42  Proof:
% 36.37/5.42    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))))
% 36.37/5.42  = { by lemma 10 R->L }
% 36.37/5.42    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))))))))
% 36.37/5.42  = { by lemma 5 R->L }
% 36.37/5.42    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))))))))
% 36.37/5.42  = { by lemma 9 R->L }
% 36.37/5.43    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))))))))
% 36.37/5.43  = { by lemma 9 R->L }
% 36.37/5.43    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))))))))
% 36.37/5.43  = { by axiom 1 (single_axiom) }
% 36.37/5.43    X
% 36.37/5.43  
% 36.37/5.43  Lemma 12: meet(meet(join(X, join(Y, Z)), join(W, Y)), Y) = Y.
% 36.37/5.43  Proof:
% 36.37/5.43    meet(meet(join(X, join(Y, Z)), join(W, Y)), Y)
% 36.37/5.43  = { by lemma 9 R->L }
% 36.37/5.43    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))))
% 36.37/5.43  = { by lemma 11 }
% 36.37/5.43    Y
% 36.37/5.43  
% 36.37/5.43  Lemma 13: join(meet(X, X), meet(Y, join(X, X))) = X.
% 36.37/5.43  Proof:
% 36.37/5.43    join(meet(X, X), meet(Y, join(X, X)))
% 36.37/5.43  = { by lemma 12 R->L }
% 36.37/5.43    join(meet(X, X), meet(Y, join(X, meet(meet(join(Z, join(X, W)), join(V, X)), X))))
% 36.37/5.43  = { by lemma 12 R->L }
% 36.37/5.43    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))))
% 36.37/5.43  = { by lemma 11 }
% 37.03/5.43    X
% 37.03/5.43  
% 37.03/5.43  Lemma 14: join(X, X) = X.
% 37.03/5.43  Proof:
% 37.03/5.43    join(X, X)
% 37.03/5.43  = { by lemma 13 R->L }
% 37.03/5.43    join(meet(join(X, X), join(X, X)), meet(X, join(join(X, X), join(X, X))))
% 37.03/5.43  = { by lemma 9 R->L }
% 37.03/5.43    join(meet(join(X, X), join(X, X)), meet(X, join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), X), meet(X, join(join(meet(Y, X), meet(X, join(Y, X))), X))), X))))
% 37.03/5.43  = { by lemma 10 R->L }
% 37.03/5.43    join(meet(join(X, X), join(X, join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))))), meet(X, join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), X), meet(X, join(join(meet(Y, X), meet(X, join(Y, X))), X))), X))))
% 37.03/5.43  = { by lemma 10 R->L }
% 37.03/5.43    join(meet(join(X, X), join(X, join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), X), meet(X, join(join(meet(Y, X), meet(X, join(Y, X))), X))), X))))
% 37.03/5.43  = { by lemma 10 R->L }
% 37.03/5.43    join(meet(join(X, X), join(X, join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(X, join(join(meet(Y, X), meet(X, join(Y, X))), X))), X))))
% 37.03/5.43  = { by lemma 10 R->L }
% 37.03/5.43    join(meet(join(X, X), join(X, join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), X))), X))))
% 37.03/5.43  = { by lemma 10 R->L }
% 37.03/5.43    join(meet(join(X, X), join(X, join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), X))))
% 37.03/5.44  = { by lemma 10 R->L }
% 37.03/5.44    join(meet(join(X, X), join(X, join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.44  = { by lemma 9 R->L }
% 37.03/5.44    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.44  = { by lemma 9 R->L }
% 37.03/5.44    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.44  = { by lemma 9 R->L }
% 37.03/5.44    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.44  = { by lemma 9 R->L }
% 37.03/5.44    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.44  = { by lemma 9 R->L }
% 37.03/5.44    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(X, W)), X)))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.44  = { by lemma 9 R->L }
% 37.03/5.44    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), X)))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.44  = { by lemma 9 R->L }
% 37.03/5.45    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.45  = { by lemma 9 R->L }
% 37.03/5.45    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.45  = { by lemma 9 R->L }
% 37.03/5.45    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.45  = { by lemma 9 R->L }
% 37.03/5.45    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.45  = { by lemma 9 R->L }
% 37.03/5.45    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(X, W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.45  = { by lemma 9 R->L }
% 37.03/5.45    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), X)))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.45  = { by lemma 9 R->L }
% 37.03/5.46    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.46  = { by lemma 9 R->L }
% 37.03/5.46    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.46  = { by lemma 9 R->L }
% 37.03/5.46    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.46  = { by lemma 9 R->L }
% 37.03/5.46    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.46  = { by lemma 9 R->L }
% 37.03/5.46    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.47  = { by lemma 9 R->L }
% 37.03/5.47    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.47  = { by lemma 9 R->L }
% 37.03/5.47    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.47  = { by lemma 9 R->L }
% 37.03/5.47    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(X, W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.47  = { by lemma 9 R->L }
% 37.03/5.47    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), X))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.48  = { by lemma 9 R->L }
% 37.03/5.48    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.48  = { by lemma 9 R->L }
% 37.03/5.48    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.48  = { by lemma 9 R->L }
% 37.03/5.48    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.48  = { by lemma 9 R->L }
% 37.03/5.48    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.49  = { by lemma 9 R->L }
% 37.03/5.49    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(X, W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.49  = { by lemma 9 R->L }
% 37.03/5.49    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), X)))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.03/5.49  = { by lemma 9 R->L }
% 37.52/5.50    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, X), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.52/5.50  = { by lemma 9 R->L }
% 37.52/5.50    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(X, join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.52/5.50  = { by lemma 9 R->L }
% 37.52/5.50    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, X))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.52/5.51  = { by lemma 9 R->L }
% 37.52/5.51    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.52/5.51  = { by lemma 9 R->L }
% 37.52/5.51    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.52/5.51  = { by lemma 9 R->L }
% 37.52/5.52    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.52/5.52  = { by lemma 9 R->L }
% 37.52/5.52    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.52/5.52  = { by lemma 9 R->L }
% 37.52/5.52    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, 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))))))))
% 37.52/5.53  = { by lemma 9 R->L }
% 37.52/5.53    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), X))))))), join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.52/5.53  = { by lemma 9 R->L }
% 37.52/5.53    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), 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))))))))
% 37.52/5.54  = { by lemma 9 R->L }
% 37.52/5.54    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.52/5.54  = { by lemma 9 R->L }
% 37.52/5.54    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.52/5.55  = { by lemma 9 R->L }
% 37.52/5.55    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))))))
% 37.52/5.55  = { by lemma 9 R->L }
% 37.52/5.55    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(X, W)), X))))))))
% 37.52/5.55  = { by lemma 9 R->L }
% 37.52/5.55    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), X))))))))
% 37.52/5.55  = { by lemma 9 R->L }
% 37.52/5.56    join(meet(join(X, X), join(join(meet(V, X), meet(X, join(V, X))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(X, X), join(join(meet(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))), meet(join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))))), join(join(meet(Y, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), join(Y, join(meet(V, X), meet(X, join(V, X)))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))))), join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))))))
% 37.52/5.56  = { by lemma 2 R->L }
% 37.52/5.56    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)))))))))))
% 37.52/5.56  = { by lemma 10 }
% 37.52/5.56    join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))
% 37.52/5.56  = { by lemma 9 }
% 37.52/5.56    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)))))))
% 37.52/5.56  = { by lemma 9 }
% 37.52/5.56    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)))))))
% 37.52/5.56  = { by lemma 9 }
% 37.52/5.56    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)))))))
% 37.52/5.56  = { by lemma 9 }
% 37.52/5.56    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)))))))
% 37.52/5.56  = { by lemma 9 }
% 37.52/5.56    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)))))))
% 37.52/5.56  = { by lemma 9 }
% 37.52/5.56    join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))
% 37.52/5.56  = { by lemma 10 }
% 37.52/5.56    X
% 37.52/5.56  
% 37.52/5.56  Lemma 15: meet(X, X) = X.
% 37.52/5.56  Proof:
% 37.52/5.56    meet(X, X)
% 37.52/5.56  = { by lemma 14 R->L }
% 37.52/5.56    join(meet(X, X), meet(X, X))
% 37.52/5.56  = { by lemma 14 R->L }
% 37.52/5.56    join(meet(X, X), meet(X, join(X, X)))
% 37.52/5.56  = { by lemma 5 }
% 37.52/5.56    X
% 37.52/5.56  
% 37.52/5.56  Lemma 16: join(join(meet(X, Y), meet(Y, Z)), Y) = Y.
% 37.52/5.56  Proof:
% 37.52/5.56    join(join(meet(X, Y), meet(Y, Z)), Y)
% 37.52/5.56  = { by lemma 13 R->L }
% 37.52/5.56    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))))
% 37.52/5.56  = { by lemma 10 }
% 37.52/5.56    Y
% 37.52/5.56  
% 37.52/5.56  Lemma 17: join(join(X, meet(X, Y)), X) = X.
% 37.52/5.56  Proof:
% 37.52/5.56    join(join(X, meet(X, Y)), X)
% 37.52/5.56  = { by lemma 12 R->L }
% 37.52/5.56    join(join(meet(meet(join(Z, join(X, W)), join(V, X)), X), meet(X, Y)), X)
% 37.52/5.56  = { by lemma 16 }
% 37.52/5.56    X
% 37.52/5.56  
% 37.52/5.56  Lemma 18: join(X, meet(Y, X)) = X.
% 37.52/5.56  Proof:
% 37.52/5.56    join(X, meet(Y, X))
% 37.52/5.56  = { by lemma 14 R->L }
% 37.52/5.56    join(X, meet(Y, join(X, X)))
% 37.52/5.56  = { by lemma 15 R->L }
% 37.52/5.56    join(meet(X, X), meet(Y, join(X, X)))
% 37.52/5.56  = { by lemma 13 }
% 37.52/5.56    X
% 37.52/5.56  
% 37.52/5.56  Lemma 19: meet(meet(X, Y), Y) = meet(X, Y).
% 37.52/5.56  Proof:
% 37.52/5.56    meet(meet(X, Y), Y)
% 37.52/5.56  = { by lemma 14 R->L }
% 37.52/5.56    join(meet(meet(X, Y), Y), meet(meet(X, Y), Y))
% 37.52/5.56  = { by lemma 16 R->L }
% 37.52/5.56    join(meet(meet(X, Y), Y), meet(meet(X, Y), join(join(meet(X, Y), meet(Y, meet(X, Y))), Y)))
% 37.52/5.56  = { by lemma 18 }
% 37.52/5.56    join(meet(meet(X, Y), Y), meet(meet(X, Y), join(meet(X, Y), Y)))
% 37.52/5.56  = { by lemma 5 }
% 37.52/5.56    meet(X, Y)
% 37.52/5.56  
% 37.52/5.56  Lemma 20: join(meet(X, X), join(X, X)) = X.
% 37.52/5.56  Proof:
% 37.52/5.56    join(meet(X, X), join(X, X))
% 37.52/5.56  = { by lemma 12 R->L }
% 37.52/5.56    join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), join(X, X))
% 37.52/5.56  = { by lemma 12 R->L }
% 37.52/5.56    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)))
% 37.52/5.56  = { by lemma 12 R->L }
% 37.52/5.56    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))))
% 37.52/5.56  = { by lemma 11 }
% 37.52/5.56    X
% 37.52/5.56  
% 37.52/5.56  Lemma 21: meet(meet(join(X, Y), join(Z, X)), X) = X.
% 37.52/5.56  Proof:
% 37.52/5.56    meet(meet(join(X, Y), join(Z, X)), X)
% 37.52/5.56  = { by lemma 14 R->L }
% 37.52/5.56    meet(meet(join(join(X, Y), join(X, Y)), join(Z, X)), X)
% 37.52/5.56  = { by lemma 12 }
% 38.01/5.56    X
% 38.01/5.56  
% 38.01/5.56  Lemma 22: meet(join(X, Y), X) = X.
% 38.01/5.56  Proof:
% 38.01/5.56    meet(join(X, Y), X)
% 38.01/5.56  = { by lemma 19 R->L }
% 38.01/5.56    meet(meet(join(X, Y), X), X)
% 38.01/5.56  = { by lemma 14 R->L }
% 38.01/5.56    meet(meet(join(join(X, X), Y), X), X)
% 38.01/5.56  = { by lemma 14 R->L }
% 38.01/5.56    meet(meet(join(join(X, X), Y), X), join(X, X))
% 38.01/5.56  = { by lemma 20 R->L }
% 38.01/5.56    meet(meet(join(join(X, X), Y), join(meet(X, X), join(X, X))), join(X, X))
% 38.01/5.56  = { by lemma 21 }
% 38.01/5.56    join(X, X)
% 38.01/5.56  = { by lemma 14 }
% 38.01/5.56    X
% 38.01/5.56  
% 38.01/5.56  Lemma 23: join(X, meet(X, Y)) = X.
% 38.01/5.56  Proof:
% 38.01/5.56    join(X, meet(X, Y))
% 38.01/5.56  = { by lemma 5 R->L }
% 38.01/5.56    join(meet(join(X, meet(X, Y)), X), meet(join(X, meet(X, Y)), join(join(X, meet(X, Y)), X)))
% 38.01/5.56  = { by lemma 17 }
% 38.01/5.56    join(meet(join(X, meet(X, Y)), X), meet(join(X, meet(X, Y)), X))
% 38.01/5.56  = { by lemma 14 }
% 38.01/5.56    meet(join(X, meet(X, Y)), X)
% 38.01/5.56  = { by lemma 22 }
% 38.02/5.56    X
% 38.02/5.56  
% 38.02/5.56  Lemma 24: meet(meet(X, Y), meet(Y, X)) = meet(Y, X).
% 38.02/5.56  Proof:
% 38.02/5.56    meet(meet(X, Y), meet(Y, X))
% 38.02/5.56  = { by lemma 23 R->L }
% 38.02/5.56    meet(meet(X, join(Y, meet(Y, X))), meet(Y, X))
% 38.02/5.56  = { by lemma 16 R->L }
% 38.02/5.56    meet(meet(X, join(Y, meet(Y, join(join(meet(Z, X), meet(X, W)), X)))), meet(Y, X))
% 38.02/5.56  = { by lemma 16 R->L }
% 38.02/5.56    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)))
% 38.02/5.56  = { by lemma 10 R->L }
% 38.02/5.56    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)))
% 38.02/5.57  = { by lemma 21 }
% 38.02/5.57    meet(Y, join(join(meet(Z, X), meet(X, W)), X))
% 38.02/5.57  = { by lemma 16 }
% 38.02/5.57    meet(Y, X)
% 38.02/5.57  
% 38.02/5.57  Lemma 25: meet(X, meet(X, Y)) = meet(X, Y).
% 38.02/5.57  Proof:
% 38.02/5.57    meet(X, meet(X, Y))
% 38.02/5.57  = { by lemma 5 R->L }
% 38.02/5.57    meet(join(meet(X, Y), meet(X, join(X, Y))), meet(X, Y))
% 38.02/5.57  = { by lemma 22 }
% 38.02/5.57    meet(X, Y)
% 38.02/5.57  
% 38.02/5.57  Lemma 26: join(meet(meet(X, Y), meet(X, join(X, Y))), meet(meet(X, Y), X)) = meet(X, Y).
% 38.02/5.57  Proof:
% 38.02/5.57    join(meet(meet(X, Y), meet(X, join(X, Y))), meet(meet(X, Y), X))
% 38.02/5.57  = { by lemma 5 R->L }
% 38.02/5.57    join(meet(meet(X, Y), meet(X, join(X, Y))), meet(meet(X, Y), join(meet(X, Y), meet(X, join(X, Y)))))
% 38.02/5.57  = { by lemma 5 }
% 38.02/5.57    meet(X, Y)
% 38.02/5.57  
% 38.02/5.57  Lemma 27: meet(X, Y) = meet(Y, X).
% 38.02/5.57  Proof:
% 38.02/5.57    meet(X, Y)
% 38.02/5.57  = { by lemma 24 R->L }
% 38.02/5.57    meet(meet(Y, X), meet(X, Y))
% 38.02/5.57  = { by lemma 25 R->L }
% 38.02/5.57    meet(meet(Y, X), meet(meet(Y, X), meet(X, Y)))
% 38.02/5.57  = { by lemma 26 R->L }
% 38.02/5.57    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)))
% 38.02/5.57  = { by lemma 25 }
% 38.02/5.57    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)))
% 38.02/5.57  = { by lemma 23 }
% 38.02/5.57    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)))
% 38.02/5.57  = { by lemma 15 }
% 38.02/5.57    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)))
% 38.02/5.57  = { by lemma 25 }
% 38.02/5.57    join(meet(meet(meet(Y, X), meet(X, Y)), meet(Y, X)), meet(meet(meet(Y, X), meet(X, Y)), meet(Y, X)))
% 38.02/5.57  = { by lemma 14 }
% 38.02/5.57    meet(meet(meet(Y, X), meet(X, Y)), meet(Y, X))
% 38.02/5.57  = { by lemma 24 }
% 38.02/5.57    meet(meet(X, Y), meet(Y, X))
% 38.02/5.57  = { by lemma 24 }
% 38.02/5.57    meet(Y, X)
% 38.02/5.57  
% 38.02/5.57  Lemma 28: meet(X, join(Y, X)) = X.
% 38.02/5.57  Proof:
% 38.02/5.57    meet(X, join(Y, X))
% 38.02/5.57  = { by lemma 5 R->L }
% 38.02/5.57    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))))
% 38.02/5.57  = { by lemma 25 }
% 38.02/5.57    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))))
% 38.02/5.57  = { by lemma 23 }
% 38.02/5.57    join(meet(meet(X, join(Y, X)), X), meet(meet(X, join(Y, X)), meet(X, join(Y, X))))
% 38.02/5.57  = { by lemma 15 }
% 38.02/5.57    join(meet(meet(X, join(Y, X)), X), meet(X, join(Y, X)))
% 38.02/5.57  = { by lemma 20 R->L }
% 38.02/5.57    join(meet(meet(join(meet(X, X), join(X, X)), join(Y, X)), X), meet(X, join(Y, X)))
% 38.02/5.57  = { by lemma 12 }
% 38.02/5.57    join(X, meet(X, join(Y, X)))
% 38.02/5.57  = { by lemma 23 }
% 38.02/5.57    X
% 38.02/5.57  
% 38.02/5.57  Lemma 29: join(join(X, Y), X) = join(X, Y).
% 38.02/5.57  Proof:
% 38.02/5.57    join(join(X, Y), X)
% 38.02/5.57  = { by lemma 22 R->L }
% 38.02/5.57    join(join(X, Y), meet(join(X, Y), X))
% 38.02/5.57  = { by lemma 23 }
% 38.02/5.57    join(X, Y)
% 38.02/5.57  
% 38.02/5.57  Lemma 30: meet(join(X, Y), meet(Z, Y)) = meet(Z, Y).
% 38.02/5.57  Proof:
% 38.02/5.57    meet(join(X, Y), meet(Z, Y))
% 38.02/5.57  = { by lemma 19 R->L }
% 38.02/5.57    meet(join(X, Y), meet(meet(Z, Y), Y))
% 38.02/5.57  = { by lemma 28 R->L }
% 38.02/5.57    meet(join(X, meet(Y, join(Z, Y))), meet(meet(Z, Y), Y))
% 38.02/5.57  = { by lemma 28 R->L }
% 38.02/5.57    meet(join(X, meet(Y, join(Z, Y))), meet(meet(Z, Y), meet(Y, join(Z, Y))))
% 38.02/5.57  = { by lemma 9 R->L }
% 38.02/5.57    meet(join(X, join(meet(meet(Z, Y), meet(Y, join(Z, Y))), meet(meet(Y, join(Z, Y)), join(meet(Z, Y), meet(Y, join(Z, Y)))))), meet(meet(Z, Y), meet(Y, join(Z, Y))))
% 38.02/5.57  = { by lemma 9 }
% 38.02/5.57    meet(join(X, join(meet(meet(Z, Y), meet(Y, join(Z, Y))), meet(meet(Y, join(Z, Y)), Y))), meet(meet(Z, Y), meet(Y, join(Z, Y))))
% 38.02/5.57  = { by lemma 19 R->L }
% 38.02/5.57    meet(meet(join(X, join(meet(meet(Z, Y), meet(Y, join(Z, Y))), meet(meet(Y, join(Z, Y)), Y))), meet(meet(Z, Y), meet(Y, join(Z, Y)))), meet(meet(Z, Y), meet(Y, join(Z, Y))))
% 38.02/5.57  = { by lemma 14 R->L }
% 38.02/5.57    meet(meet(join(X, join(meet(meet(Z, Y), meet(Y, join(Z, Y))), meet(meet(Y, join(Z, Y)), Y))), join(meet(meet(Z, Y), meet(Y, join(Z, Y))), meet(meet(Z, Y), meet(Y, join(Z, Y))))), meet(meet(Z, Y), meet(Y, join(Z, Y))))
% 38.02/5.57  = { by lemma 12 }
% 38.02/5.57    meet(meet(Z, Y), meet(Y, join(Z, Y)))
% 38.02/5.57  = { by lemma 28 }
% 38.02/5.57    meet(meet(Z, Y), Y)
% 38.02/5.57  = { by lemma 19 }
% 38.02/5.57    meet(Z, Y)
% 38.02/5.57  
% 38.02/5.57  Lemma 31: meet(X, meet(Y, meet(Z, X))) = meet(Y, meet(Z, X)).
% 38.02/5.57  Proof:
% 38.02/5.57    meet(X, meet(Y, meet(Z, X)))
% 38.02/5.57  = { by lemma 18 R->L }
% 38.02/5.57    meet(X, meet(Y, meet(Z, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))))
% 38.02/5.57  = { by lemma 11 R->L }
% 38.02/5.57    meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(Z, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), meet(Y, meet(Z, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))))
% 38.02/5.57  = { by lemma 30 }
% 38.02/5.57    meet(Y, meet(Z, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X))))
% 38.02/5.57  = { by lemma 18 }
% 38.02/5.57    meet(Y, meet(Z, X))
% 38.02/5.57  
% 38.02/5.57  Lemma 32: meet(meet(X, Y), meet(X, Z)) = meet(Z, meet(X, Y)).
% 38.02/5.57  Proof:
% 38.02/5.57    meet(meet(X, Y), meet(X, Z))
% 38.02/5.57  = { by lemma 27 R->L }
% 38.02/5.57    meet(meet(X, Y), meet(Z, X))
% 38.02/5.57  = { by lemma 27 R->L }
% 38.02/5.57    meet(meet(Y, X), meet(Z, X))
% 38.02/5.57  = { by lemma 11 R->L }
% 38.02/5.57    meet(meet(Y, X), meet(Z, join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(Y, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X))))))
% 38.02/5.57  = { by lemma 17 R->L }
% 38.02/5.57    meet(meet(Y, X), meet(Z, join(join(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(Y, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), meet(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(Y, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), meet(Z, meet(Y, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))))), join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(Y, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))))))
% 38.02/5.57  = { by lemma 30 }
% 38.02/5.57    meet(meet(Y, X), meet(Z, join(join(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(Y, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), meet(Z, meet(Y, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X))))), join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(Y, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))))))
% 38.02/5.57  = { by lemma 29 }
% 38.02/5.57    meet(meet(Y, X), meet(Z, join(join(meet(X, meet(meet(join(W, join(X, V)), join(U, X)), X)), meet(Y, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))), meet(Z, meet(Y, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))))))
% 38.02/5.57  = { by lemma 11 }
% 38.02/5.57    meet(meet(Y, X), meet(Z, join(X, meet(Z, meet(Y, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))))))
% 38.02/5.57  = { by lemma 18 }
% 38.02/5.57    meet(meet(Y, X), meet(Z, join(X, meet(Z, meet(Y, X)))))
% 38.02/5.57  = { by lemma 27 R->L }
% 38.02/5.57    meet(meet(Y, X), meet(join(X, meet(Z, meet(Y, X))), Z))
% 38.02/5.57  = { by lemma 31 R->L }
% 38.02/5.57    meet(Z, meet(meet(Y, X), meet(join(X, meet(Z, meet(Y, X))), Z)))
% 38.02/5.57  = { by lemma 27 R->L }
% 38.02/5.57    meet(Z, meet(meet(join(X, meet(Z, meet(Y, X))), Z), meet(Y, X)))
% 38.02/5.57  = { by lemma 27 R->L }
% 38.02/5.57    meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), meet(Y, X)), Z)
% 38.02/5.58  = { by lemma 18 R->L }
% 38.02/5.58    meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), Z)
% 38.02/5.58  = { by lemma 18 R->L }
% 38.02/5.58    meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), join(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z)))
% 38.02/5.58  = { by lemma 12 R->L }
% 38.02/5.58    meet(meet(join(meet(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X))), join(meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), join(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z))), meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), join(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), join(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z)))))), join(meet(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z)), meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), join(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z))))), meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), join(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z))))
% 38.02/5.58  = { by lemma 5 }
% 38.02/5.58    meet(meet(join(meet(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X))), meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X))))), join(meet(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z)), meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), join(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z))))), meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), join(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z))))
% 38.02/5.58  = { by lemma 27 }
% 38.02/5.58    meet(meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), join(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z))), meet(join(meet(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X))), meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X))))), join(meet(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z)), meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), join(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z))))))
% 38.02/5.58  = { by lemma 11 }
% 38.02/5.58    meet(meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), join(Z, meet(meet(join(Y2, join(Z, Z2)), join(W2, Z)), Z))), meet(join(meet(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X))), meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X))))), Z))
% 38.02/5.58  = { by lemma 18 }
% 38.02/5.58    meet(meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), Z), meet(join(meet(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X))), meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X))))), Z))
% 38.02/5.58  = { by lemma 27 }
% 38.02/5.58    meet(meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), Z), meet(Z, join(meet(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X))), meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))))))
% 38.02/5.58  = { by lemma 11 }
% 38.02/5.58    meet(meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), join(meet(Y, X), meet(meet(join(T, join(meet(Y, X), S)), join(X2, meet(Y, X))), meet(Y, X)))), Z), meet(Z, meet(Y, X)))
% 38.02/5.58  = { by lemma 18 }
% 38.02/5.58    meet(meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), meet(Y, X)), Z), meet(Z, meet(Y, X)))
% 38.02/5.58  = { by lemma 27 }
% 38.02/5.58    meet(meet(Z, meet(Y, X)), meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), meet(Y, X)), Z))
% 38.02/5.58  = { by lemma 27 }
% 38.02/5.58    meet(meet(Z, meet(Y, X)), meet(Z, meet(meet(join(X, meet(Z, meet(Y, X))), Z), meet(Y, X))))
% 38.02/5.58  = { by lemma 27 }
% 38.02/5.58    meet(meet(Z, meet(Y, X)), meet(Z, meet(meet(Y, X), meet(join(X, meet(Z, meet(Y, X))), Z))))
% 38.02/5.58  = { by lemma 31 }
% 38.02/5.58    meet(meet(Z, meet(Y, X)), meet(meet(Y, X), meet(join(X, meet(Z, meet(Y, X))), Z)))
% 38.02/5.58  = { by lemma 27 }
% 38.02/5.58    meet(meet(Z, meet(Y, X)), meet(meet(Y, X), meet(Z, join(X, meet(Z, meet(Y, X))))))
% 38.02/5.58  = { by lemma 5 R->L }
% 38.02/5.58    meet(meet(Z, meet(Y, X)), meet(meet(Y, X), join(meet(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X))), meet(meet(Z, join(X, meet(Z, meet(Y, X)))), join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X)))))))
% 38.02/5.58  = { by lemma 5 R->L }
% 38.02/5.58    meet(meet(Z, meet(Y, X)), meet(meet(Y, X), join(meet(meet(join(meet(Z, meet(Y, X)), meet(Z, join(Z, meet(Y, X)))), join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X))), meet(meet(Z, join(X, meet(Z, meet(Y, X)))), join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X)))))))
% 38.02/5.58  = { by lemma 21 }
% 38.02/5.58    meet(meet(Z, meet(Y, X)), meet(meet(Y, X), join(meet(Z, meet(Y, X)), meet(meet(Z, join(X, meet(Z, meet(Y, X)))), join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X)))))))
% 38.02/5.58  = { by lemma 14 R->L }
% 38.02/5.58    meet(meet(Z, meet(Y, X)), meet(meet(Y, X), join(meet(Z, meet(Y, X)), join(meet(meet(Z, join(X, meet(Z, meet(Y, X)))), join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X)))), meet(meet(Z, join(X, meet(Z, meet(Y, X)))), join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X))))))))
% 38.02/5.58  = { by lemma 15 R->L }
% 38.02/5.58    meet(meet(Z, meet(Y, X)), meet(meet(Y, X), join(meet(Z, meet(Y, X)), join(meet(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X))), join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X))))), meet(meet(Z, join(X, meet(Z, meet(Y, X)))), join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X))))))))
% 38.02/5.58  = { by lemma 22 R->L }
% 38.02/5.58    meet(meet(Z, meet(Y, X)), meet(meet(Y, X), join(meet(Z, meet(Y, X)), join(meet(meet(join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X))), meet(Z, join(X, meet(Z, meet(Y, X))))), meet(join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X))), join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X))))), meet(meet(Z, join(X, meet(Z, meet(Y, X)))), join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X))))))))
% 38.02/5.58  = { by lemma 22 R->L }
% 38.02/5.58    meet(meet(Z, meet(Y, X)), meet(meet(Y, X), join(meet(Z, meet(Y, X)), join(meet(meet(join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X))), meet(Z, join(X, meet(Z, meet(Y, X))))), meet(join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X))), join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X))))), meet(meet(join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X))), meet(Z, join(X, meet(Z, meet(Y, X))))), join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X))))))))
% 38.02/5.58  = { by lemma 29 R->L }
% 38.02/5.58    meet(meet(Z, meet(Y, X)), meet(meet(Y, X), join(meet(Z, meet(Y, X)), join(meet(meet(join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X))), meet(Z, join(X, meet(Z, meet(Y, X))))), meet(join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X))), join(join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X))), meet(Z, join(X, meet(Z, meet(Y, X))))))), meet(meet(join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X))), meet(Z, join(X, meet(Z, meet(Y, X))))), join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X))))))))
% 38.02/5.58  = { by lemma 26 }
% 38.02/5.58    meet(meet(Z, meet(Y, X)), meet(meet(Y, X), join(meet(Z, meet(Y, X)), meet(join(meet(Z, join(X, meet(Z, meet(Y, X)))), meet(Z, meet(Y, X))), meet(Z, join(X, meet(Z, meet(Y, X))))))))
% 38.02/5.58  = { by lemma 22 }
% 38.02/5.58    meet(meet(Z, meet(Y, X)), meet(meet(Y, X), join(meet(Z, meet(Y, X)), meet(Z, join(X, meet(Z, meet(Y, X)))))))
% 38.02/5.58  = { by lemma 27 R->L }
% 38.02/5.58    meet(meet(Z, meet(Y, X)), meet(join(meet(Z, meet(Y, X)), meet(Z, join(X, meet(Z, meet(Y, X))))), meet(Y, X)))
% 38.02/5.58  = { by lemma 27 R->L }
% 38.02/5.58    meet(meet(join(meet(Z, meet(Y, X)), meet(Z, join(X, meet(Z, meet(Y, X))))), meet(Y, X)), meet(Z, meet(Y, X)))
% 38.02/5.58  = { by lemma 18 R->L }
% 38.02/5.58    meet(meet(join(meet(Z, join(meet(Y, X), meet(meet(join(V2, join(meet(Y, X), U2)), join(T2, meet(Y, X))), meet(Y, X)))), meet(Z, join(X, meet(Z, meet(Y, X))))), meet(Y, X)), meet(Z, meet(Y, X)))
% 38.02/5.58  = { by lemma 18 R->L }
% 38.02/5.58    meet(meet(join(meet(Z, join(meet(Y, X), meet(meet(join(V2, join(meet(Y, X), U2)), join(T2, meet(Y, X))), meet(Y, X)))), meet(Z, join(X, meet(Z, meet(Y, X))))), meet(Y, X)), meet(Z, join(meet(Y, X), meet(meet(join(V2, join(meet(Y, X), U2)), join(T2, meet(Y, X))), meet(Y, X)))))
% 38.02/5.58  = { by lemma 11 R->L }
% 38.02/5.58    meet(meet(join(meet(Z, join(meet(Y, X), meet(meet(join(V2, join(meet(Y, X), U2)), join(T2, meet(Y, X))), meet(Y, X)))), meet(Z, join(X, meet(Z, meet(Y, X))))), join(meet(meet(Y, X), meet(meet(join(V2, join(meet(Y, X), U2)), join(T2, meet(Y, X))), meet(Y, X))), meet(Z, join(meet(Y, X), meet(meet(join(V2, join(meet(Y, X), U2)), join(T2, meet(Y, X))), meet(Y, X)))))), meet(Z, join(meet(Y, X), meet(meet(join(V2, join(meet(Y, X), U2)), join(T2, meet(Y, X))), meet(Y, X)))))
% 38.02/5.58  = { by lemma 21 }
% 38.02/5.58    meet(Z, join(meet(Y, X), meet(meet(join(V2, join(meet(Y, X), U2)), join(T2, meet(Y, X))), meet(Y, X))))
% 38.02/5.58  = { by lemma 18 }
% 38.02/5.58    meet(Z, meet(Y, X))
% 38.02/5.58  = { by lemma 27 }
% 38.02/5.58    meet(Z, meet(X, Y))
% 38.02/5.58  
% 38.02/5.58  Goal 1 (prove_normal_axioms_3): meet(meet(a, b), c) = meet(a, meet(b, c)).
% 38.02/5.58  Proof:
% 38.02/5.58    meet(meet(a, b), c)
% 38.02/5.58  = { by lemma 27 }
% 38.02/5.58    meet(c, meet(a, b))
% 38.02/5.58  = { by lemma 27 R->L }
% 38.02/5.58    meet(c, meet(b, a))
% 38.02/5.58  = { by lemma 32 R->L }
% 38.02/5.58    meet(meet(b, a), meet(b, c))
% 38.02/5.58  = { by lemma 32 R->L }
% 38.02/5.58    meet(meet(b, c), meet(b, meet(b, a)))
% 38.02/5.58  = { by lemma 25 }
% 38.02/5.58    meet(meet(b, c), meet(b, a))
% 38.02/5.58  = { by lemma 32 }
% 38.02/5.58    meet(a, meet(b, c))
% 38.02/5.58  % SZS output end Proof
% 38.02/5.58  
% 38.02/5.58  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------