TSTP Solution File: LAT082-1 by Twee---2.5.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.5.0
% Problem : LAT082-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee /export/starexec/sandbox2/benchmark/theBenchmark.p --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding
% Computer : n022.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 : Mon Jun 24 10:31:21 EDT 2024
% Result : Unsatisfiable 16.30s 2.42s
% Output : Proof 40.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT082-1 : TPTP v8.2.0. Released v2.6.0.
% 0.12/0.12 % Command : parallel-twee /export/starexec/sandbox2/benchmark/theBenchmark.p --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 22:16:54 EDT 2024
% 0.12/0.34 % CPUTime :
% 16.30/2.42 Command-line arguments: --no-flatten-goal
% 16.30/2.42
% 16.30/2.42 % SZS status Unsatisfiable
% 16.30/2.42
% 31.91/4.62 % SZS output start Proof
% 31.91/4.62 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.
% 31.91/4.62
% 31.91/4.62 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))).
% 31.91/4.62 Proof:
% 31.91/4.62 join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), 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)))
% 31.91/4.62 = { by axiom 1 (single_axiom) R->L }
% 31.91/4.63 join(meet(join(meet(X, join(meet(Y, Z), meet(Z, 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)))
% 31.91/4.63 = { by axiom 1 (single_axiom) }
% 32.58/4.64 join(meet(Y, Z), meet(Z, join(Y, Z)))
% 32.58/4.64
% 32.58/4.64 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))).
% 32.58/4.64 Proof:
% 32.58/4.64 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(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, 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)))
% 32.58/4.64 = { by lemma 2 R->L }
% 32.58/4.64 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(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, 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)))
% 32.58/4.65 = { by lemma 2 R->L }
% 32.58/4.66 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(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)))
% 32.58/4.67 = { by lemma 2 R->L }
% 32.58/4.68 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)))
% 33.03/4.70 = { by lemma 2 R->L }
% 33.03/4.70 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)))
% 33.03/4.73 = { by lemma 2 R->L }
% 33.03/4.73 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(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)))
% 33.52/4.76 = { by lemma 2 R->L }
% 33.56/4.77 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)))
% 33.80/4.81 = { by lemma 2 R->L }
% 33.80/4.82 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(Y, Z), meet(Z, join(Y, Z))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 34.01/4.85 = { by lemma 2 R->L }
% 34.01/4.86 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 34.01/4.90 = { by lemma 2 R->L }
% 34.01/4.92 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))))), join(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))), W)))
% 34.65/4.93 = { by lemma 2 R->L }
% 34.65/4.95 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)))
% 34.65/4.95 = { by lemma 2 R->L }
% 34.65/4.97 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(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)))
% 34.65/4.97 = { by lemma 2 R->L }
% 34.65/4.99 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(join(meet(V, join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), U)), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(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)))
% 34.65/4.99 = { by lemma 2 R->L }
% 34.65/5.00 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)))
% 34.65/5.00 = { by lemma 2 }
% 34.65/5.01 join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(T, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), S)), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))
% 34.65/5.01 = { by lemma 2 }
% 35.20/5.01 join(meet(Y, Z), meet(Z, join(Y, Z)))
% 35.20/5.01
% 35.20/5.01 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))).
% 35.20/5.01 Proof:
% 35.20/5.01 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)))
% 35.20/5.01 = { by lemma 3 R->L }
% 35.20/5.01 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)))
% 35.20/5.01 = { by lemma 3 R->L }
% 35.20/5.01 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)))
% 35.20/5.01 = { by lemma 3 }
% 35.20/5.01 join(meet(X, Y), meet(Y, join(X, Y)))
% 35.20/5.01
% 35.20/5.01 Lemma 5: join(meet(X, Y), meet(X, join(X, Y))) = X.
% 35.20/5.01 Proof:
% 35.20/5.01 join(meet(X, Y), meet(X, join(X, Y)))
% 35.20/5.01 = { by axiom 1 (single_axiom) R->L }
% 35.20/5.01 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)))
% 35.20/5.01 = { by axiom 1 (single_axiom) R->L }
% 35.20/5.01 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)))
% 35.20/5.01 = { by axiom 1 (single_axiom) R->L }
% 35.20/5.02 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)))
% 35.20/5.02 = { by lemma 4 }
% 35.20/5.02 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)))))))
% 35.20/5.02 = { by axiom 1 (single_axiom) }
% 35.20/5.02 X
% 35.20/5.02
% 35.20/5.02 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))).
% 35.20/5.02 Proof:
% 35.20/5.02 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)))
% 35.20/5.02 = { by lemma 5 R->L }
% 35.20/5.02 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)))
% 35.20/5.02 = { by lemma 2 }
% 35.20/5.03 join(meet(Y, X), meet(X, join(Y, X)))
% 35.20/5.03
% 35.20/5.03 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.
% 35.20/5.03 Proof:
% 35.20/5.03 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)))
% 35.20/5.03 = { by axiom 1 (single_axiom) R->L }
% 35.20/5.03 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)))
% 35.20/5.04 = { by axiom 1 (single_axiom) R->L }
% 35.20/5.04 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), 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)))
% 35.20/5.05 = { by axiom 1 (single_axiom) R->L }
% 35.20/5.05 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, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(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)))
% 35.20/5.06 = { by axiom 1 (single_axiom) R->L }
% 35.20/5.06 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z), meet(Y, join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 35.72/5.08 = { by axiom 1 (single_axiom) R->L }
% 35.72/5.08 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(Y, join(X, Y))), Y))), Z), meet(Y, join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 35.79/5.10 = { by axiom 1 (single_axiom) R->L }
% 35.79/5.10 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, 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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)))
% 36.00/5.12 = { by axiom 1 (single_axiom) R->L }
% 36.00/5.13 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, 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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)))
% 36.00/5.14 = { by axiom 1 (single_axiom) R->L }
% 36.00/5.15 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, 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meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, 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)))
% 36.00/5.17 = { by axiom 1 (single_axiom) R->L }
% 36.00/5.18 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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meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(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)))
% 36.00/5.21 = { by axiom 1 (single_axiom) R->L }
% 36.64/5.22 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, 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meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(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)))
% 36.64/5.24 = { by axiom 1 (single_axiom) R->L }
% 36.64/5.25 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)))
% 36.64/5.29 = { by axiom 1 (single_axiom) R->L }
% 37.26/5.30 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, 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join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, 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meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 37.26/5.33 = { by axiom 1 (single_axiom) R->L }
% 37.26/5.34 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(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 37.84/5.38 = { by axiom 1 (single_axiom) R->L }
% 37.89/5.40 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, 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Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, 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% 38.10/5.45 = { 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)))
% 38.10/5.48 = { by axiom 1 (single_axiom) R->L }
% 38.10/5.50 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, 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join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, 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meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, 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join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(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)))
% 38.10/5.50 = { by axiom 1 (single_axiom) R->L }
% 38.81/5.52 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, 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meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), 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join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, 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)))
% 38.81/5.52 = { by axiom 1 (single_axiom) R->L }
% 38.81/5.54 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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% 38.81/5.54 = { by axiom 1 (single_axiom) R->L }
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U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))))), join(join(meet(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), 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% 38.81/5.55 = { by lemma 3 }
% 38.81/5.55 join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y))))), meet(join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(V, Y), meet(Y, U)), Y)), meet(join(meet(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)), meet(S, join(Y, meet(meet(join(V, join(Y, U)), join(T, Y)), Y)))), join(W, join(join(meet(V, Y), meet(Y, U)), Y)))))))
% 38.81/5.55 = { by axiom 1 (single_axiom) }
% 38.81/5.55 Y
% 38.81/5.55
% 38.81/5.55 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.
% 38.81/5.55 Proof:
% 38.81/5.55 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)))
% 38.81/5.55 = { by lemma 7 R->L }
% 38.81/5.55 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)))
% 38.81/5.55 = { by lemma 7 R->L }
% 38.81/5.55 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)))
% 38.81/5.56 = { by lemma 7 R->L }
% 38.81/5.56 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)))
% 38.81/5.56 = { by lemma 7 R->L }
% 38.81/5.56 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)))
% 38.81/5.56 = { by lemma 7 R->L }
% 38.81/5.56 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)))
% 38.81/5.57 = { by lemma 7 R->L }
% 38.81/5.57 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)))
% 38.81/5.57 = { by lemma 7 R->L }
% 38.81/5.57 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)))
% 38.81/5.58 = { by lemma 7 R->L }
% 38.81/5.58 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)))
% 38.81/5.58 = { by lemma 7 R->L }
% 38.81/5.58 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)))
% 38.81/5.58 = { by lemma 7 R->L }
% 38.81/5.59 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)))
% 38.81/5.59 = { by lemma 7 R->L }
% 38.81/5.59 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)))
% 38.81/5.59 = { by lemma 7 R->L }
% 38.81/5.59 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)))
% 38.81/5.59 = { by lemma 2 }
% 38.81/5.59 join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))
% 38.81/5.59 = { by lemma 7 }
% 38.81/5.59 Y
% 38.81/5.59
% 38.81/5.59 Lemma 9: join(meet(X, Y), meet(Y, join(X, Y))) = Y.
% 38.81/5.59 Proof:
% 38.81/5.59 join(meet(X, Y), meet(Y, join(X, Y)))
% 38.81/5.59 = { by lemma 4 R->L }
% 38.81/5.59 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)))
% 38.81/5.59 = { by lemma 6 R->L }
% 38.81/5.59 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)))
% 38.81/5.59 = { by lemma 6 R->L }
% 38.81/5.59 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)))
% 38.81/5.59 = { by lemma 6 R->L }
% 38.81/5.60 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)))
% 38.81/5.60 = { by lemma 8 }
% 38.81/5.60 Y
% 38.81/5.60
% 38.81/5.60 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.
% 38.81/5.60 Proof:
% 38.81/5.60 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))))
% 38.81/5.60 = { by lemma 8 R->L }
% 38.81/5.60 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)))
% 38.81/5.60 = { by lemma 8 }
% 38.81/5.60 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)))
% 38.81/5.60 = { by lemma 8 }
% 38.81/5.60 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)))
% 38.81/5.60 = { by lemma 8 }
% 38.81/5.60 join(meet(Z, V), meet(Z, join(Z, V)))
% 38.81/5.60 = { by lemma 5 }
% 38.81/5.60 Z
% 38.81/5.60
% 38.81/5.60 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.
% 38.81/5.60 Proof:
% 38.81/5.60 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))))
% 39.39/5.60 = { by lemma 10 R->L }
% 39.39/5.60 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))))))))
% 39.39/5.60 = { by lemma 5 R->L }
% 39.39/5.60 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))))))))
% 39.39/5.60 = { by lemma 9 R->L }
% 39.39/5.61 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))))))))
% 39.39/5.61 = { by lemma 9 R->L }
% 39.39/5.61 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))))))))
% 39.39/5.61 = { by axiom 1 (single_axiom) }
% 39.39/5.61 X
% 39.39/5.61
% 39.39/5.61 Lemma 12: meet(meet(join(X, join(Y, Z)), join(W, Y)), Y) = Y.
% 39.39/5.61 Proof:
% 39.39/5.61 meet(meet(join(X, join(Y, Z)), join(W, Y)), Y)
% 39.39/5.61 = { by lemma 9 R->L }
% 39.39/5.61 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))))
% 39.39/5.61 = { by lemma 11 }
% 39.39/5.61 Y
% 39.39/5.61
% 39.39/5.61 Lemma 13: join(meet(X, X), meet(Y, join(X, X))) = X.
% 39.39/5.61 Proof:
% 39.39/5.61 join(meet(X, X), meet(Y, join(X, X)))
% 39.39/5.61 = { by lemma 12 R->L }
% 39.39/5.61 join(meet(X, X), meet(Y, join(X, meet(meet(join(Z, join(X, W)), join(V, X)), X))))
% 39.39/5.61 = { by lemma 12 R->L }
% 39.39/5.61 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))))
% 39.39/5.61 = { by lemma 11 }
% 39.39/5.61 X
% 39.39/5.61
% 39.39/5.61 Lemma 14: join(X, X) = X.
% 39.39/5.61 Proof:
% 39.39/5.61 join(X, X)
% 39.39/5.61 = { by lemma 13 R->L }
% 39.39/5.61 join(meet(join(X, X), join(X, X)), meet(X, join(join(X, X), join(X, X))))
% 39.39/5.61 = { by lemma 9 R->L }
% 39.39/5.61 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))))
% 39.39/5.61 = { by lemma 10 R->L }
% 39.39/5.61 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))))
% 39.39/5.61 = { by lemma 10 R->L }
% 39.39/5.61 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))))
% 39.39/5.61 = { by lemma 10 R->L }
% 39.39/5.61 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))))
% 39.39/5.61 = { by lemma 10 R->L }
% 39.39/5.61 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))))
% 39.39/5.61 = { by lemma 10 R->L }
% 39.39/5.62 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))))
% 39.39/5.62 = { by lemma 10 R->L }
% 39.39/5.62 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))))))))
% 39.39/5.62 = { by lemma 9 R->L }
% 39.39/5.62 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))))))))
% 39.39/5.62 = { by lemma 9 R->L }
% 39.39/5.62 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))))))))
% 39.39/5.62 = { by lemma 9 R->L }
% 39.39/5.62 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))))))))
% 39.39/5.62 = { by lemma 9 R->L }
% 39.39/5.62 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))))))))
% 39.39/5.62 = { by lemma 9 R->L }
% 39.39/5.62 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))))))))
% 39.39/5.63 = { by lemma 9 R->L }
% 39.39/5.63 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))))))))
% 39.39/5.63 = { by lemma 9 R->L }
% 39.39/5.63 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))))))))
% 39.39/5.63 = { by lemma 9 R->L }
% 39.39/5.63 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))))))))
% 39.39/5.63 = { by lemma 9 R->L }
% 39.39/5.63 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))))))))
% 39.39/5.63 = { by lemma 9 R->L }
% 39.39/5.63 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))))))))
% 39.39/5.63 = { by lemma 9 R->L }
% 39.39/5.63 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))))))))
% 39.39/5.63 = { by lemma 9 R->L }
% 39.39/5.64 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))))))))
% 39.39/5.64 = { by lemma 9 R->L }
% 39.39/5.64 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))))))))
% 39.39/5.64 = { by lemma 9 R->L }
% 39.39/5.64 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))))))))
% 39.39/5.64 = { by lemma 9 R->L }
% 39.39/5.64 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))))))))
% 39.39/5.64 = { by lemma 9 R->L }
% 39.39/5.64 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))))))))
% 39.39/5.65 = { by lemma 9 R->L }
% 39.39/5.65 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))))))))
% 39.39/5.65 = { by lemma 9 R->L }
% 39.39/5.65 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))))))))
% 39.39/5.65 = { by lemma 9 R->L }
% 39.39/5.65 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))))))))
% 39.39/5.65 = { by lemma 9 R->L }
% 39.39/5.65 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))))))))
% 39.39/5.66 = { by lemma 9 R->L }
% 39.39/5.66 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))))))))
% 39.39/5.66 = { by lemma 9 R->L }
% 39.39/5.66 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))))))))
% 39.39/5.66 = { by lemma 9 R->L }
% 39.39/5.66 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))))))))
% 39.39/5.66 = { by lemma 9 R->L }
% 39.39/5.66 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))))))))
% 39.39/5.67 = { by lemma 9 R->L }
% 39.39/5.67 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))))))))
% 39.39/5.67 = { by lemma 9 R->L }
% 39.39/5.67 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))))))))
% 39.39/5.67 = { by lemma 9 R->L }
% 39.39/5.68 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))))))))
% 39.39/5.68 = { by lemma 9 R->L }
% 39.39/5.68 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))))))))
% 39.39/5.68 = { by lemma 9 R->L }
% 39.39/5.68 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))))))))
% 39.39/5.69 = { by lemma 9 R->L }
% 39.39/5.69 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))))))))
% 40.00/5.69 = { by lemma 9 R->L }
% 40.00/5.69 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))))))))
% 40.00/5.70 = { by lemma 9 R->L }
% 40.00/5.70 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))))))))
% 40.00/5.70 = { by lemma 9 R->L }
% 40.00/5.70 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))))))))
% 40.00/5.70 = { by lemma 9 R->L }
% 40.00/5.71 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))))))))
% 40.00/5.71 = { by lemma 9 R->L }
% 40.00/5.71 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))))))))
% 40.00/5.71 = { by lemma 9 R->L }
% 40.00/5.71 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))))))))
% 40.00/5.72 = { by lemma 9 R->L }
% 40.00/5.72 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))))))))
% 40.00/5.72 = { by lemma 9 R->L }
% 40.00/5.72 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))))))))
% 40.00/5.73 = { by lemma 9 R->L }
% 40.00/5.73 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))))))))
% 40.00/5.73 = { by lemma 9 R->L }
% 40.00/5.73 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))))))))
% 40.00/5.74 = { by lemma 9 R->L }
% 40.00/5.74 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))))))))
% 40.00/5.74 = { by lemma 9 R->L }
% 40.00/5.74 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))))))))
% 40.00/5.74 = { by lemma 9 R->L }
% 40.00/5.74 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)))))))))))
% 40.00/5.74 = { by lemma 2 R->L }
% 40.00/5.75 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)))))))))))
% 40.00/5.75 = { by lemma 10 }
% 40.00/5.75 join(meet(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X))))), meet(X, join(Y, join(join(meet(Z, join(meet(V, X), meet(X, join(V, X)))), meet(join(meet(V, X), meet(X, join(V, X))), W)), join(meet(V, X), meet(X, join(V, X)))))))
% 40.00/5.75 = { by lemma 9 }
% 40.00/5.75 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)))))))
% 40.00/5.75 = { by lemma 9 }
% 40.00/5.75 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)))))))
% 40.00/5.75 = { by lemma 9 }
% 40.00/5.75 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)))))))
% 40.00/5.75 = { by lemma 9 }
% 40.00/5.75 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)))))))
% 40.00/5.75 = { by lemma 9 }
% 40.00/5.75 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)))))))
% 40.00/5.75 = { by lemma 9 }
% 40.00/5.75 join(meet(Y, join(join(meet(Z, X), meet(X, W)), X)), meet(X, join(Y, join(join(meet(Z, X), meet(X, W)), X))))
% 40.00/5.75 = { by lemma 10 }
% 40.00/5.75 X
% 40.00/5.75
% 40.00/5.75 Lemma 15: meet(X, X) = X.
% 40.00/5.75 Proof:
% 40.00/5.75 meet(X, X)
% 40.00/5.75 = { by lemma 14 R->L }
% 40.00/5.75 join(meet(X, X), meet(X, X))
% 40.00/5.75 = { by lemma 14 R->L }
% 40.00/5.75 join(meet(X, X), meet(X, join(X, X)))
% 40.00/5.75 = { by lemma 5 }
% 40.00/5.75 X
% 40.00/5.75
% 40.00/5.75 Lemma 16: join(join(meet(X, Y), meet(Y, Z)), Y) = Y.
% 40.00/5.75 Proof:
% 40.00/5.75 join(join(meet(X, Y), meet(Y, Z)), Y)
% 40.00/5.75 = { by lemma 13 R->L }
% 40.00/5.75 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))))
% 40.00/5.75 = { by lemma 10 }
% 40.00/5.75 Y
% 40.00/5.75
% 40.00/5.75 Lemma 17: join(join(X, meet(X, Y)), X) = X.
% 40.00/5.75 Proof:
% 40.00/5.75 join(join(X, meet(X, Y)), X)
% 40.00/5.75 = { by lemma 12 R->L }
% 40.00/5.75 join(join(meet(meet(join(Z, join(X, W)), join(V, X)), X), meet(X, Y)), X)
% 40.00/5.75 = { by lemma 16 }
% 40.00/5.75 X
% 40.00/5.75
% 40.00/5.75 Lemma 18: join(X, meet(Y, X)) = X.
% 40.00/5.75 Proof:
% 40.00/5.75 join(X, meet(Y, X))
% 40.00/5.75 = { by lemma 14 R->L }
% 40.00/5.75 join(X, meet(Y, join(X, X)))
% 40.00/5.75 = { by lemma 15 R->L }
% 40.00/5.75 join(meet(X, X), meet(Y, join(X, X)))
% 40.00/5.75 = { by lemma 13 }
% 40.00/5.75 X
% 40.00/5.75
% 40.00/5.75 Lemma 19: meet(meet(X, Y), Y) = meet(X, Y).
% 40.00/5.75 Proof:
% 40.00/5.75 meet(meet(X, Y), Y)
% 40.00/5.75 = { by lemma 14 R->L }
% 40.00/5.75 join(meet(meet(X, Y), Y), meet(meet(X, Y), Y))
% 40.00/5.75 = { by lemma 16 R->L }
% 40.00/5.75 join(meet(meet(X, Y), Y), meet(meet(X, Y), join(join(meet(X, Y), meet(Y, meet(X, Y))), Y)))
% 40.00/5.75 = { by lemma 18 }
% 40.00/5.75 join(meet(meet(X, Y), Y), meet(meet(X, Y), join(meet(X, Y), Y)))
% 40.00/5.75 = { by lemma 5 }
% 40.00/5.75 meet(X, Y)
% 40.00/5.75
% 40.00/5.75 Lemma 20: join(meet(X, X), join(X, X)) = X.
% 40.00/5.75 Proof:
% 40.00/5.75 join(meet(X, X), join(X, X))
% 40.00/5.75 = { by lemma 12 R->L }
% 40.00/5.75 join(meet(X, meet(meet(join(Y, join(X, Z)), join(W, X)), X)), join(X, X))
% 40.00/5.75 = { by lemma 12 R->L }
% 40.00/5.75 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)))
% 40.00/5.75 = { by lemma 12 R->L }
% 40.00/5.75 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))))
% 40.00/5.75 = { by lemma 11 }
% 40.00/5.75 X
% 40.00/5.75
% 40.00/5.75 Lemma 21: meet(meet(join(X, Y), join(Z, X)), X) = X.
% 40.00/5.75 Proof:
% 40.00/5.75 meet(meet(join(X, Y), join(Z, X)), X)
% 40.00/5.75 = { by lemma 14 R->L }
% 40.00/5.75 meet(meet(join(join(X, Y), join(X, Y)), join(Z, X)), X)
% 40.00/5.75 = { by lemma 12 }
% 40.00/5.75 X
% 40.00/5.75
% 40.00/5.75 Lemma 22: meet(join(X, Y), X) = X.
% 40.00/5.75 Proof:
% 40.00/5.75 meet(join(X, Y), X)
% 40.00/5.75 = { by lemma 19 R->L }
% 40.00/5.75 meet(meet(join(X, Y), X), X)
% 40.00/5.75 = { by lemma 14 R->L }
% 40.00/5.75 meet(meet(join(join(X, X), Y), X), X)
% 40.00/5.75 = { by lemma 14 R->L }
% 40.00/5.75 meet(meet(join(join(X, X), Y), X), join(X, X))
% 40.00/5.75 = { by lemma 20 R->L }
% 40.00/5.75 meet(meet(join(join(X, X), Y), join(meet(X, X), join(X, X))), join(X, X))
% 40.00/5.75 = { by lemma 21 }
% 40.00/5.75 join(X, X)
% 40.00/5.75 = { by lemma 14 }
% 40.00/5.75 X
% 40.00/5.75
% 40.00/5.75 Lemma 23: join(X, meet(X, Y)) = X.
% 40.00/5.75 Proof:
% 40.00/5.75 join(X, meet(X, Y))
% 40.00/5.75 = { by lemma 5 R->L }
% 40.00/5.75 join(meet(join(X, meet(X, Y)), X), meet(join(X, meet(X, Y)), join(join(X, meet(X, Y)), X)))
% 40.00/5.75 = { by lemma 17 }
% 40.00/5.75 join(meet(join(X, meet(X, Y)), X), meet(join(X, meet(X, Y)), X))
% 40.00/5.75 = { by lemma 14 }
% 40.00/5.75 meet(join(X, meet(X, Y)), X)
% 40.00/5.75 = { by lemma 22 }
% 40.00/5.75 X
% 40.00/5.75
% 40.00/5.75 Lemma 24: meet(meet(X, Y), meet(Y, X)) = meet(Y, X).
% 40.00/5.75 Proof:
% 40.00/5.75 meet(meet(X, Y), meet(Y, X))
% 40.00/5.75 = { by lemma 23 R->L }
% 40.00/5.75 meet(meet(X, join(Y, meet(Y, X))), meet(Y, X))
% 40.00/5.75 = { by lemma 16 R->L }
% 40.00/5.75 meet(meet(X, join(Y, meet(Y, join(join(meet(Z, X), meet(X, W)), X)))), meet(Y, X))
% 40.00/5.75 = { by lemma 16 R->L }
% 40.00/5.75 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)))
% 40.00/5.75 = { by lemma 10 R->L }
% 40.00/5.75 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)))
% 40.00/5.75 = { by lemma 21 }
% 40.00/5.75 meet(Y, join(join(meet(Z, X), meet(X, W)), X))
% 40.00/5.75 = { by lemma 16 }
% 40.00/5.75 meet(Y, X)
% 40.00/5.75
% 40.00/5.75 Lemma 25: meet(X, meet(X, Y)) = meet(X, Y).
% 40.00/5.75 Proof:
% 40.00/5.75 meet(X, meet(X, Y))
% 40.00/5.75 = { by lemma 5 R->L }
% 40.00/5.75 meet(join(meet(X, Y), meet(X, join(X, Y))), meet(X, Y))
% 40.00/5.75 = { by lemma 22 }
% 40.00/5.76 meet(X, Y)
% 40.00/5.76
% 40.00/5.76 Lemma 26: join(meet(meet(X, Y), meet(X, join(X, Y))), meet(meet(X, Y), X)) = meet(X, Y).
% 40.00/5.76 Proof:
% 40.00/5.76 join(meet(meet(X, Y), meet(X, join(X, Y))), meet(meet(X, Y), X))
% 40.00/5.76 = { by lemma 5 R->L }
% 40.00/5.76 join(meet(meet(X, Y), meet(X, join(X, Y))), meet(meet(X, Y), join(meet(X, Y), meet(X, join(X, Y)))))
% 40.00/5.76 = { by lemma 5 }
% 40.00/5.76 meet(X, Y)
% 40.00/5.76
% 40.00/5.76 Lemma 27: meet(X, Y) = meet(Y, X).
% 40.00/5.76 Proof:
% 40.00/5.76 meet(X, Y)
% 40.00/5.76 = { by lemma 24 R->L }
% 40.00/5.76 meet(meet(Y, X), meet(X, Y))
% 40.00/5.76 = { by lemma 25 R->L }
% 40.00/5.76 meet(meet(Y, X), meet(meet(Y, X), meet(X, Y)))
% 40.00/5.76 = { by lemma 26 R->L }
% 40.00/5.76 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)))
% 40.00/5.76 = { by lemma 25 }
% 40.00/5.76 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)))
% 40.00/5.76 = { by lemma 23 }
% 40.00/5.76 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)))
% 40.00/5.76 = { by lemma 15 }
% 40.00/5.76 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)))
% 40.00/5.76 = { by lemma 25 }
% 40.00/5.76 join(meet(meet(meet(Y, X), meet(X, Y)), meet(Y, X)), meet(meet(meet(Y, X), meet(X, Y)), meet(Y, X)))
% 40.00/5.76 = { by lemma 14 }
% 40.00/5.76 meet(meet(meet(Y, X), meet(X, Y)), meet(Y, X))
% 40.00/5.76 = { by lemma 24 }
% 40.00/5.76 meet(meet(X, Y), meet(Y, X))
% 40.00/5.76 = { by lemma 24 }
% 40.00/5.76 meet(Y, X)
% 40.00/5.76
% 40.00/5.76 Lemma 28: meet(X, join(Y, X)) = X.
% 40.00/5.76 Proof:
% 40.00/5.76 meet(X, join(Y, X))
% 40.00/5.76 = { by lemma 5 R->L }
% 40.00/5.76 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))))
% 40.00/5.76 = { by lemma 25 }
% 40.00/5.76 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))))
% 40.00/5.76 = { by lemma 23 }
% 40.00/5.76 join(meet(meet(X, join(Y, X)), X), meet(meet(X, join(Y, X)), meet(X, join(Y, X))))
% 40.00/5.76 = { by lemma 15 }
% 40.00/5.76 join(meet(meet(X, join(Y, X)), X), meet(X, join(Y, X)))
% 40.00/5.76 = { by lemma 20 R->L }
% 40.00/5.76 join(meet(meet(join(meet(X, X), join(X, X)), join(Y, X)), X), meet(X, join(Y, X)))
% 40.00/5.76 = { by lemma 12 }
% 40.00/5.76 join(X, meet(X, join(Y, X)))
% 40.00/5.76 = { by lemma 23 }
% 40.00/5.76 X
% 40.00/5.76
% 40.00/5.76 Lemma 29: join(join(X, Y), X) = join(X, Y).
% 40.00/5.76 Proof:
% 40.00/5.76 join(join(X, Y), X)
% 40.00/5.76 = { by lemma 22 R->L }
% 40.00/5.76 join(join(X, Y), meet(join(X, Y), X))
% 40.00/5.76 = { by lemma 23 }
% 40.00/5.76 join(X, Y)
% 40.00/5.76
% 40.00/5.76 Lemma 30: meet(join(X, Y), meet(Z, Y)) = meet(Z, Y).
% 40.00/5.76 Proof:
% 40.00/5.76 meet(join(X, Y), meet(Z, Y))
% 40.00/5.76 = { by lemma 19 R->L }
% 40.00/5.76 meet(join(X, Y), meet(meet(Z, Y), Y))
% 40.00/5.76 = { by lemma 28 R->L }
% 40.00/5.76 meet(join(X, meet(Y, join(Z, Y))), meet(meet(Z, Y), Y))
% 40.00/5.76 = { by lemma 28 R->L }
% 40.00/5.76 meet(join(X, meet(Y, join(Z, Y))), meet(meet(Z, Y), meet(Y, join(Z, Y))))
% 40.00/5.76 = { by lemma 9 R->L }
% 40.00/5.76 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))))
% 40.00/5.76 = { by lemma 9 }
% 40.00/5.76 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))))
% 40.00/5.76 = { by lemma 19 R->L }
% 40.00/5.76 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))))
% 40.00/5.76 = { by lemma 14 R->L }
% 40.00/5.76 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))))
% 40.00/5.76 = { by lemma 12 }
% 40.00/5.76 meet(meet(Z, Y), meet(Y, join(Z, Y)))
% 40.00/5.76 = { by lemma 28 }
% 40.00/5.76 meet(meet(Z, Y), Y)
% 40.00/5.76 = { by lemma 19 }
% 40.00/5.76 meet(Z, Y)
% 40.00/5.76
% 40.00/5.76 Lemma 31: meet(X, meet(Y, meet(Z, X))) = meet(Y, meet(Z, X)).
% 40.00/5.76 Proof:
% 40.00/5.76 meet(X, meet(Y, meet(Z, X)))
% 40.00/5.76 = { by lemma 18 R->L }
% 40.00/5.76 meet(X, meet(Y, meet(Z, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X)))))
% 40.00/5.76 = { by lemma 11 R->L }
% 40.00/5.76 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)))))
% 40.00/5.76 = { by lemma 30 }
% 40.00/5.76 meet(Y, meet(Z, join(X, meet(meet(join(W, join(X, V)), join(U, X)), X))))
% 40.00/5.76 = { by lemma 18 }
% 40.00/5.76 meet(Y, meet(Z, X))
% 40.00/5.76
% 40.00/5.76 Lemma 32: meet(meet(X, Y), meet(X, Z)) = meet(Z, meet(X, Y)).
% 40.00/5.76 Proof:
% 40.00/5.76 meet(meet(X, Y), meet(X, Z))
% 40.00/5.76 = { by lemma 27 R->L }
% 40.00/5.76 meet(meet(X, Y), meet(Z, X))
% 40.00/5.76 = { by lemma 27 R->L }
% 40.00/5.76 meet(meet(Y, X), meet(Z, X))
% 40.00/5.76 = { by lemma 11 R->L }
% 40.00/5.76 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))))))
% 40.00/5.76 = { by lemma 17 R->L }
% 40.00/5.76 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)))))))
% 40.00/5.76 = { by lemma 30 }
% 40.00/5.76 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)))))))
% 40.00/5.76 = { by lemma 29 }
% 40.00/5.76 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)))))))
% 40.00/5.76 = { by lemma 11 }
% 40.00/5.76 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)))))))
% 40.00/5.76 = { by lemma 18 }
% 40.00/5.76 meet(meet(Y, X), meet(Z, join(X, meet(Z, meet(Y, X)))))
% 40.00/5.77 = { by lemma 27 R->L }
% 40.00/5.77 meet(meet(Y, X), meet(join(X, meet(Z, meet(Y, X))), Z))
% 40.00/5.77 = { by lemma 31 R->L }
% 40.00/5.77 meet(Z, meet(meet(Y, X), meet(join(X, meet(Z, meet(Y, X))), Z)))
% 40.00/5.77 = { by lemma 27 R->L }
% 40.00/5.77 meet(Z, meet(meet(join(X, meet(Z, meet(Y, X))), Z), meet(Y, X)))
% 40.00/5.77 = { by lemma 27 R->L }
% 40.00/5.77 meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), meet(Y, X)), Z)
% 40.00/5.77 = { by lemma 18 R->L }
% 40.00/5.77 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)
% 40.00/5.77 = { by lemma 18 R->L }
% 40.00/5.77 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)))
% 40.00/5.77 = { by lemma 12 R->L }
% 40.00/5.77 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))))
% 40.00/5.77 = { by lemma 5 }
% 40.00/5.77 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))))
% 40.00/5.77 = { by lemma 27 }
% 40.00/5.77 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))))))
% 40.00/5.77 = { by lemma 11 }
% 40.00/5.77 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))
% 40.00/5.77 = { by lemma 18 }
% 40.00/5.77 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))
% 40.00/5.77 = { by lemma 27 }
% 40.00/5.77 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)))))))
% 40.00/5.77 = { by lemma 11 }
% 40.00/5.77 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)))
% 40.00/5.77 = { by lemma 18 }
% 40.00/5.77 meet(meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), meet(Y, X)), Z), meet(Z, meet(Y, X)))
% 40.00/5.77 = { by lemma 27 }
% 40.00/5.77 meet(meet(Z, meet(Y, X)), meet(meet(meet(join(X, meet(Z, meet(Y, X))), Z), meet(Y, X)), Z))
% 40.00/5.77 = { by lemma 27 }
% 40.00/5.77 meet(meet(Z, meet(Y, X)), meet(Z, meet(meet(join(X, meet(Z, meet(Y, X))), Z), meet(Y, X))))
% 40.00/5.77 = { by lemma 27 }
% 40.00/5.77 meet(meet(Z, meet(Y, X)), meet(Z, meet(meet(Y, X), meet(join(X, meet(Z, meet(Y, X))), Z))))
% 40.00/5.77 = { by lemma 31 }
% 40.00/5.77 meet(meet(Z, meet(Y, X)), meet(meet(Y, X), meet(join(X, meet(Z, meet(Y, X))), Z)))
% 40.00/5.77 = { by lemma 27 }
% 40.00/5.77 meet(meet(Z, meet(Y, X)), meet(meet(Y, X), meet(Z, join(X, meet(Z, meet(Y, X))))))
% 40.00/5.77 = { by lemma 5 R->L }
% 40.00/5.77 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)))))))
% 40.00/5.77 = { by lemma 5 R->L }
% 40.00/5.77 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)))))))
% 40.00/5.77 = { by lemma 21 }
% 40.00/5.77 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)))))))
% 40.00/5.77 = { by lemma 14 R->L }
% 40.00/5.77 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))))))))
% 40.00/5.77 = { by lemma 15 R->L }
% 40.00/5.77 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))))))))
% 40.00/5.77 = { by lemma 22 R->L }
% 40.00/5.77 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))))))))
% 40.00/5.77 = { by lemma 22 R->L }
% 40.00/5.77 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))))))))
% 40.00/5.77 = { by lemma 29 R->L }
% 40.00/5.77 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))))))))
% 40.00/5.77 = { by lemma 26 }
% 40.00/5.77 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))))))))
% 40.00/5.77 = { by lemma 22 }
% 40.00/5.77 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)))))))
% 40.00/5.77 = { by lemma 27 R->L }
% 40.00/5.77 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)))
% 40.00/5.77 = { by lemma 27 R->L }
% 40.00/5.77 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)))
% 40.00/5.77 = { by lemma 18 R->L }
% 40.00/5.77 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)))
% 40.00/5.77 = { by lemma 18 R->L }
% 40.00/5.77 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)))))
% 40.00/5.77 = { by lemma 11 R->L }
% 40.00/5.77 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)))))
% 40.00/5.77 = { by lemma 21 }
% 40.00/5.77 meet(Z, join(meet(Y, X), meet(meet(join(V2, join(meet(Y, X), U2)), join(T2, meet(Y, X))), meet(Y, X))))
% 40.00/5.77 = { by lemma 18 }
% 40.00/5.77 meet(Z, meet(Y, X))
% 40.00/5.77 = { by lemma 27 }
% 40.00/5.77 meet(Z, meet(X, Y))
% 40.00/5.77
% 40.00/5.77 Goal 1 (prove_normal_axioms_3): meet(meet(a, b), c) = meet(a, meet(b, c)).
% 40.00/5.77 Proof:
% 40.00/5.77 meet(meet(a, b), c)
% 40.00/5.77 = { by lemma 27 }
% 40.00/5.77 meet(c, meet(a, b))
% 40.00/5.77 = { by lemma 27 R->L }
% 40.00/5.77 meet(c, meet(b, a))
% 40.00/5.77 = { by lemma 32 R->L }
% 40.00/5.77 meet(meet(b, a), meet(b, c))
% 40.00/5.77 = { by lemma 32 R->L }
% 40.00/5.77 meet(meet(b, c), meet(b, meet(b, a)))
% 40.00/5.77 = { by lemma 25 }
% 40.00/5.77 meet(meet(b, c), meet(b, a))
% 40.00/5.77 = { by lemma 32 }
% 40.00/5.77 meet(a, meet(b, c))
% 40.00/5.77 % SZS output end Proof
% 40.00/5.77
% 40.00/5.77 RESULT: Unsatisfiable (the axioms are contradictory).
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