%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT030-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:42:52 AM UTC 2026
% Result : Unsatisfiable 17.28s 2.63s
% Output : Proof 52.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT030-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n006.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 13:56:55 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.28/2.63 Command-line arguments: --no-flatten-goal
% 17.28/2.63
% 17.28/2.63 % SZS status Unsatisfiable
% 17.28/2.63
% 40.88/5.60 % SZS output start Proof
% 40.88/5.61 Axiom 1 (single_axiom): join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Z), meet(join(meet(X, join(join(meet(Y, W), meet(V, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, W), join(V, Y)), Y)), meet(U, join(Y, meet(meet(join(Y, W), join(V, Y)), Y)))), join(X, join(join(meet(Y, W), meet(V, Y)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z))) = Y.
% 40.88/5.61
% 40.88/5.61 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(join(meet(Y, Z), meet(Z, join(Y, Z))), V), meet(U, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), V), meet(U, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, 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))).
% 40.88/5.61 Proof:
% 40.88/5.61 join(meet(join(meet(X, join(meet(Y, Z), meet(Z, 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(join(meet(Y, Z), meet(Z, join(Y, Z))), V), meet(U, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), V), meet(U, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, 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)))
% 40.88/5.61 = { by axiom 1 (single_axiom) R->L }
% 40.88/5.61 join(meet(join(meet(X, join(meet(Y, Z), meet(Z, 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(join(meet(Y, Z), meet(Z, join(Y, Z))), V), meet(U, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), meet(meet(join(join(meet(Y, Z), meet(Z, join(Y, Z))), V), join(U, 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(Z, T), meet(S, Z)), Z)), meet(join(meet(Z, meet(meet(join(Z, T), join(S, Z)), Z)), meet(X2, join(Z, meet(meet(join(Z, T), join(S, Z)), Z)))), join(Y, join(join(meet(Z, T), meet(S, Z)), Z)))), join(join(meet(Y, Z), meet(Z, join(Y, Z))), meet(meet(join(join(meet(Y, Z), meet(Z, join(Y, Z))), V), join(U, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), V), meet(U, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, 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)))
% 40.88/5.61 = { by axiom 1 (single_axiom) }
% 40.88/5.62 join(meet(Y, Z), meet(Z, join(Y, Z)))
% 40.88/5.62
% 40.88/5.63 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))).
% 40.88/5.63 Proof:
% 40.88/5.63 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)))
% 40.88/5.64 = { by lemma 2 R->L }
% 40.88/5.64 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(join(meet(Y, Z), meet(Z, join(Y, Z))), V), meet(U, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(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(join(meet(Y, Z), meet(Z, join(Y, Z))), V), meet(U, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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)))
% 40.88/5.66 = { by lemma 2 R->L }
% 40.88/5.66 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, 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(join(meet(Y, Z), meet(Z, join(Y, Z))), V), meet(U, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(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(join(meet(Y, Z), meet(Z, join(Y, Z))), V), meet(U, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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)))
% 40.88/5.69 = { by lemma 2 R->L }
% 40.88/5.69 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, 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(join(meet(Y, Z), meet(Z, join(Y, Z))), V), meet(U, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(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(join(meet(Y, Z), meet(Z, join(Y, Z))), V), meet(U, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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)))
% 41.65/5.73 = { by lemma 2 R->L }
% 41.65/5.74 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, 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(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), V), meet(U, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(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(join(meet(Y, Z), meet(Z, join(Y, Z))), V), meet(U, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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)))
% 41.65/5.78 = { by lemma 2 R->L }
% 41.65/5.79 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, 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(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), V), meet(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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(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(join(meet(Y, Z), meet(Z, join(Y, Z))), V), meet(U, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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)))
% 42.48/5.84 = { by lemma 2 R->L }
% 42.48/5.85 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, 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(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), V), meet(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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(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(join(meet(Y, Z), meet(Z, join(Y, Z))), V), meet(U, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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)))
% 43.28/5.91 = { by lemma 2 R->L }
% 43.28/5.92 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, 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(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), V), meet(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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(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(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), V), meet(U, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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)))
% 43.28/5.98 = { by lemma 2 R->L }
% 43.28/6.00 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(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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, 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(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), V), meet(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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(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(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), V), meet(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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), 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)))
% 44.55/6.07 = { by lemma 2 R->L }
% 44.55/6.09 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, 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(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), V), meet(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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(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(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), V), meet(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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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)))
% 44.55/6.12 = { by lemma 2 R->L }
% 44.55/6.14 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, 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(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), V), meet(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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(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(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), V), meet(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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, 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)))
% 44.55/6.16 = { by lemma 2 R->L }
% 45.37/6.19 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, 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(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), V), meet(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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(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(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), V), meet(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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, 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)))
% 45.37/6.19 = { by lemma 2 R->L }
% 45.67/6.21 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, 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(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), V), meet(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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(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(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), V), meet(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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W)))
% 45.67/6.21 = { by lemma 2 R->L }
% 45.67/6.24 join(meet(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, 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(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), V), meet(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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(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(join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), V), meet(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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, 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(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))))), W)))
% 45.67/6.24 = { by lemma 2 }
% 45.67/6.24 join(meet(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z)))))))), meet(join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))), join(join(meet(X, join(meet(Y, Z), meet(Z, join(Y, Z)))), meet(join(meet(Y, Z), meet(Z, join(Y, Z))), join(X, join(meet(Y, Z), meet(Z, join(Y, Z)))))), join(meet(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))), meet(Z, join(X, join(join(meet(join(meet(Y, Z), meet(Z, join(Y, Z))), T), meet(S, join(meet(Y, Z), meet(Z, join(Y, Z))))), join(meet(Y, Z), meet(Z, join(Y, Z))))))))))
% 45.67/6.24 = { by lemma 2 }
% 45.67/6.25 join(meet(Y, Z), meet(Z, join(Y, Z)))
% 45.67/6.25
% 45.67/6.25 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))).
% 45.67/6.25 Proof:
% 45.67/6.25 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)))
% 45.67/6.25 = { by lemma 3 R->L }
% 45.67/6.25 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)))
% 45.67/6.25 = { by lemma 3 R->L }
% 45.67/6.25 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)))
% 45.67/6.25 = { by lemma 3 }
% 45.67/6.25 join(meet(X, Y), meet(Y, join(X, Y)))
% 45.67/6.25
% 45.67/6.25 Lemma 5: join(meet(X, Y), meet(X, join(X, Y))) = X.
% 45.67/6.25 Proof:
% 45.67/6.25 join(meet(X, Y), meet(X, join(X, Y)))
% 45.67/6.25 = { by axiom 1 (single_axiom) R->L }
% 45.67/6.26 join(meet(X, Y), meet(join(meet(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(X, W), meet(V, X)), X)), meet(join(meet(X, meet(meet(join(X, W), join(V, X)), X)), meet(U, join(X, meet(meet(join(X, W), join(V, X)), X)))), join(Z, join(join(meet(X, W), meet(V, X)), X))))), meet(join(meet(Z, join(join(meet(X, W), meet(V, X)), X)), meet(join(meet(X, meet(meet(join(X, W), join(V, X)), X)), meet(U, join(X, meet(meet(join(X, W), join(V, X)), X)))), join(Z, join(join(meet(X, W), meet(V, X)), X)))), join(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(X, W), meet(V, X)), X)), meet(join(meet(X, meet(meet(join(X, W), join(V, X)), X)), meet(U, join(X, meet(meet(join(X, W), join(V, X)), X)))), join(Z, join(join(meet(X, W), meet(V, X)), X))))))), join(X, Y)))
% 45.67/6.26 = { by axiom 1 (single_axiom) R->L }
% 45.67/6.26 join(meet(X, Y), meet(join(meet(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(X, W), meet(V, X)), X)), meet(join(meet(X, meet(meet(join(X, W), join(V, X)), X)), meet(U, join(X, meet(meet(join(X, W), join(V, X)), X)))), join(Z, join(join(meet(X, W), meet(V, X)), X))))), meet(join(meet(Z, join(join(meet(X, W), meet(V, X)), X)), meet(join(meet(X, meet(meet(join(X, W), join(V, X)), X)), meet(U, join(X, meet(meet(join(X, W), join(V, X)), X)))), join(Z, join(join(meet(X, W), meet(V, X)), X)))), join(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(X, W), meet(V, X)), X)), meet(join(meet(X, meet(meet(join(X, W), join(V, X)), X)), meet(U, join(X, meet(meet(join(X, W), join(V, X)), X)))), join(Z, join(join(meet(X, W), meet(V, X)), X))))))), join(join(meet(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(X, W), meet(V, X)), X)), meet(join(meet(X, meet(meet(join(X, W), join(V, X)), X)), meet(U, join(X, meet(meet(join(X, W), join(V, X)), X)))), join(Z, join(join(meet(X, W), meet(V, X)), X))))), meet(join(meet(Z, join(join(meet(X, W), meet(V, X)), X)), meet(join(meet(X, meet(meet(join(X, W), join(V, X)), X)), meet(U, join(X, meet(meet(join(X, W), join(V, X)), X)))), join(Z, join(join(meet(X, W), meet(V, X)), X)))), join(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(X, W), meet(V, X)), X)), meet(join(meet(X, meet(meet(join(X, W), join(V, X)), X)), meet(U, join(X, meet(meet(join(X, W), join(V, X)), X)))), join(Z, join(join(meet(X, W), meet(V, X)), X))))))), Y)))
% 45.67/6.26 = { by axiom 1 (single_axiom) R->L }
% 45.67/6.26 join(meet(join(meet(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(X, W), meet(V, X)), X)), meet(join(meet(X, meet(meet(join(X, W), join(V, X)), X)), meet(U, join(X, meet(meet(join(X, W), join(V, X)), X)))), join(Z, join(join(meet(X, W), meet(V, X)), X))))), meet(join(meet(Z, join(join(meet(X, W), meet(V, X)), X)), meet(join(meet(X, meet(meet(join(X, W), join(V, X)), X)), meet(U, join(X, meet(meet(join(X, W), join(V, X)), X)))), join(Z, join(join(meet(X, W), meet(V, X)), X)))), join(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(X, W), meet(V, X)), X)), meet(join(meet(X, meet(meet(join(X, W), join(V, X)), X)), meet(U, join(X, meet(meet(join(X, W), join(V, X)), X)))), join(Z, join(join(meet(X, W), meet(V, X)), X))))))), Y), meet(join(meet(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(X, W), meet(V, X)), X)), meet(join(meet(X, meet(meet(join(X, W), join(V, X)), X)), meet(U, join(X, meet(meet(join(X, W), join(V, X)), X)))), join(Z, join(join(meet(X, W), meet(V, X)), X))))), meet(join(meet(Z, join(join(meet(X, W), meet(V, X)), X)), meet(join(meet(X, meet(meet(join(X, W), join(V, X)), X)), meet(U, join(X, meet(meet(join(X, W), join(V, X)), X)))), join(Z, join(join(meet(X, W), meet(V, X)), X)))), join(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(X, W), meet(V, X)), X)), meet(join(meet(X, meet(meet(join(X, W), join(V, X)), X)), meet(U, join(X, meet(meet(join(X, W), join(V, X)), X)))), join(Z, join(join(meet(X, W), meet(V, X)), X))))))), join(join(meet(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(X, W), meet(V, X)), X)), meet(join(meet(X, meet(meet(join(X, W), join(V, X)), X)), meet(U, join(X, meet(meet(join(X, W), join(V, X)), X)))), join(Z, join(join(meet(X, W), meet(V, X)), X))))), meet(join(meet(Z, join(join(meet(X, W), meet(V, X)), X)), meet(join(meet(X, meet(meet(join(X, W), join(V, X)), X)), meet(U, join(X, meet(meet(join(X, W), join(V, X)), X)))), join(Z, join(join(meet(X, W), meet(V, X)), X)))), join(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(X, W), meet(V, X)), X)), meet(join(meet(X, meet(meet(join(X, W), join(V, X)), X)), meet(U, join(X, meet(meet(join(X, W), join(V, X)), X)))), join(Z, join(join(meet(X, W), meet(V, X)), X))))))), Y)))
% 45.67/6.26 = { by lemma 4 }
% 45.67/6.26 join(meet(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(X, W), meet(V, X)), X)), meet(join(meet(X, meet(meet(join(X, W), join(V, X)), X)), meet(U, join(X, meet(meet(join(X, W), join(V, X)), X)))), join(Z, join(join(meet(X, W), meet(V, X)), X))))), meet(join(meet(Z, join(join(meet(X, W), meet(V, X)), X)), meet(join(meet(X, meet(meet(join(X, W), join(V, X)), X)), meet(U, join(X, meet(meet(join(X, W), join(V, X)), X)))), join(Z, join(join(meet(X, W), meet(V, X)), X)))), join(join(meet(Z, X), meet(X, join(Z, X))), join(meet(Z, join(join(meet(X, W), meet(V, X)), X)), meet(join(meet(X, meet(meet(join(X, W), join(V, X)), X)), meet(U, join(X, meet(meet(join(X, W), join(V, X)), X)))), join(Z, join(join(meet(X, W), meet(V, X)), X)))))))
% 45.67/6.26 = { by axiom 1 (single_axiom) }
% 45.67/6.26 X
% 45.67/6.26
% 45.67/6.26 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))).
% 45.67/6.26 Proof:
% 45.67/6.26 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)))
% 45.67/6.26 = { by lemma 5 R->L }
% 45.67/6.26 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(join(meet(Y, X), meet(X, join(Y, X))), W), meet(V, join(meet(Y, X), meet(X, join(Y, X))))), join(meet(Y, X), meet(X, join(Y, X))))), meet(X, join(X, join(join(meet(join(meet(Y, X), meet(X, join(Y, X))), W), meet(V, join(meet(Y, X), meet(X, join(Y, X))))), 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)))
% 45.67/6.26 = { by lemma 2 }
% 45.67/6.28 join(meet(Y, X), meet(X, join(Y, X)))
% 45.67/6.28
% 45.67/6.28 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.
% 45.67/6.28 Proof:
% 45.67/6.28 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)))
% 45.67/6.28 = { by axiom 1 (single_axiom) R->L }
% 45.67/6.29 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), 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)))
% 45.67/6.30 = { by axiom 1 (single_axiom) R->L }
% 45.67/6.30 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(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), 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)))
% 46.44/6.31 = { by axiom 1 (single_axiom) R->L }
% 46.44/6.31 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(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)))
% 46.44/6.33 = { by axiom 1 (single_axiom) R->L }
% 46.44/6.34 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(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), 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)))
% 46.44/6.35 = { by axiom 1 (single_axiom) R->L }
% 46.44/6.36 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(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), 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)))
% 46.44/6.38 = { by axiom 1 (single_axiom) R->L }
% 46.44/6.39 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(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), 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)))
% 47.25/6.42 = { by axiom 1 (single_axiom) R->L }
% 47.25/6.43 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, 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join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), 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)))
% 47.25/6.46 = { by axiom 1 (single_axiom) R->L }
% 47.25/6.47 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(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)))
% 47.25/6.50 = { by axiom 1 (single_axiom) R->L }
% 48.02/6.51 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), Z), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), 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)))
% 48.02/6.55 = { by axiom 1 (single_axiom) R->L }
% 48.02/6.56 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(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), Z), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(join(meet(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(Y, join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 48.84/6.60 = { by axiom 1 (single_axiom) R->L }
% 48.84/6.62 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(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), Z), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(join(meet(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, Y))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 48.84/6.66 = { by axiom 1 (single_axiom) R->L }
% 48.84/6.68 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, 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join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), 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Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, 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Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), Y), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 49.60/6.73 = { by axiom 1 (single_axiom) R->L }
% 49.60/6.75 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(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, 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join(join(meet(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(Y, join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 49.60/6.80 = { by axiom 1 (single_axiom) R->L }
% 50.42/6.82 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(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), Z), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(join(meet(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(join(meet(X, Y), meet(Y, join(X, Y))), Y))), Z)))
% 50.42/6.88 = { by axiom 1 (single_axiom) R->L }
% 50.42/6.90 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, 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meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, 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join(join(meet(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(Y, join(X, Y))), Y))), Z)))
% 51.19/6.92 = { by axiom 1 (single_axiom) R->L }
% 51.19/6.94 join(meet(join(meet(join(meet(X, Y), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, 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join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), 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% 51.19/6.96 = { by axiom 1 (single_axiom) R->L }
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% 51.19/6.98 = { by axiom 1 (single_axiom) R->L }
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% 51.19/7.01 = { by axiom 1 (single_axiom) R->L }
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meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(join(meet(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))), meet(join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))))), join(X, join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))))), Z)))
% 51.19/7.03 = { by lemma 3 }
% 51.19/7.03 join(meet(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y))))), meet(join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))), join(join(meet(W, Y), meet(Y, join(W, Y))), join(meet(W, join(join(meet(Y, V), meet(U, Y)), Y)), meet(join(meet(Y, meet(meet(join(Y, V), join(U, Y)), Y)), meet(T, join(Y, meet(meet(join(Y, V), join(U, Y)), Y)))), join(W, join(join(meet(Y, V), meet(U, Y)), Y)))))))
% 51.19/7.03 = { by axiom 1 (single_axiom) }
% 51.19/7.03 Y
% 51.19/7.03
% 51.19/7.03 Lemma 8: join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Z), meet(join(meet(X, join(join(meet(Y, W), meet(V, Y)), Y)), meet(Y, join(X, join(join(meet(Y, W), meet(V, Y)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z))) = Y.
% 51.19/7.03 Proof:
% 51.19/7.03 join(meet(join(meet(X, Y), meet(Y, join(X, Y))), Z), meet(join(meet(X, join(join(meet(Y, W), meet(V, Y)), Y)), meet(Y, join(X, join(join(meet(Y, W), meet(V, Y)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 51.19/7.03 = { by lemma 7 R->L }
% 51.19/7.04 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(Y, W), meet(V, Y)), Y)), meet(Y, join(X, join(join(meet(Y, W), meet(V, Y)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 51.19/7.04 = { by lemma 7 R->L }
% 51.19/7.04 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(Y, W), meet(V, Y)), Y)), meet(Y, join(X, join(join(meet(Y, W), meet(V, Y)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 51.19/7.04 = { by lemma 7 R->L }
% 51.19/7.04 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(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), W), meet(V, Y)), Y)), meet(Y, join(X, join(join(meet(Y, W), meet(V, Y)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 51.19/7.05 = { by lemma 7 R->L }
% 51.19/7.05 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(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), W), meet(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))))), Y)), meet(Y, join(X, join(join(meet(Y, W), meet(V, Y)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 51.19/7.05 = { by lemma 7 R->L }
% 51.19/7.06 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(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), W), meet(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(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, 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(Y, W), meet(V, Y)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 51.19/7.06 = { by lemma 7 R->L }
% 51.19/7.06 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(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), W), meet(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(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, 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(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), W), meet(V, Y)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 51.19/7.07 = { by lemma 7 R->L }
% 52.47/7.07 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(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), W), meet(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(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, 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(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), W), meet(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))))), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), Z)))
% 52.47/7.08 = { by lemma 7 R->L }
% 52.47/7.08 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(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), W), meet(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(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, 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(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), W), meet(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(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(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)))
% 52.47/7.08 = { by lemma 7 R->L }
% 52.47/7.09 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(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), W), meet(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(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, 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(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), W), meet(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(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(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)))
% 52.47/7.09 = { by lemma 7 R->L }
% 52.47/7.10 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(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), W), meet(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(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, 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(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), W), meet(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(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(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)))
% 52.47/7.10 = { by lemma 7 R->L }
% 52.47/7.10 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(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), W), meet(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(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, 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(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), W), meet(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(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(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)))
% 52.47/7.10 = { by lemma 7 R->L }
% 52.47/7.10 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(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), W), meet(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(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, 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(join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y))), W), meet(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(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(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)))
% 52.47/7.11 = { by lemma 2 }
% 52.47/7.11 join(meet(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y), meet(Y, join(join(meet(join(meet(U, Y), meet(Y, join(U, Y))), Y), meet(Y, join(join(meet(U, Y), meet(Y, join(U, Y))), Y))), Y)))
% 52.47/7.11 = { by lemma 7 }
% 52.47/7.11 Y
% 52.47/7.11
% 52.47/7.11 Lemma 9: join(meet(X, Y), meet(Y, join(X, Y))) = Y.
% 52.47/7.11 Proof:
% 52.47/7.11 join(meet(X, Y), meet(Y, join(X, Y)))
% 52.47/7.11 = { by lemma 4 R->L }
% 52.47/7.11 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)))
% 52.47/7.11 = { by lemma 6 R->L }
% 52.47/7.11 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)))
% 52.47/7.11 = { by lemma 6 R->L }
% 52.47/7.11 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(Y, W), meet(V, 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)))))), join(join(meet(Y, W), meet(V, Y)), 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)))
% 52.47/7.11 = { by lemma 6 R->L }
% 52.47/7.11 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(Y, W), meet(V, 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)))))), join(join(meet(Y, W), meet(V, Y)), 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)))
% 52.47/7.11 = { by lemma 8 }
% 52.47/7.11 Y
% 52.47/7.11
% 52.47/7.11 Lemma 10: join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y)))) = Y.
% 52.47/7.11 Proof:
% 52.47/7.11 join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y))))
% 52.47/7.11 = { by lemma 8 R->L }
% 52.47/7.11 join(meet(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y))))), meet(join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y))))))), V), meet(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y)))), U), meet(T, join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y)))))), join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y)))))), meet(join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y)))), U), meet(T, join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y)))))), join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y)))))))), join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y))))), meet(join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y))))))), V)))
% 52.47/7.11 = { by lemma 8 }
% 52.47/7.11 join(meet(Y, V), meet(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y)))), U), meet(T, join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y)))))), join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y)))))), meet(join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), join(join(meet(join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y)))), U), meet(T, join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y)))))), join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y)))))))), join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y))))), meet(join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y))))))), V)))
% 52.47/7.11 = { by lemma 8 }
% 52.47/7.12 join(meet(Y, V), meet(Y, join(join(meet(join(meet(X, Y), meet(Y, join(X, Y))), join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y))))), meet(join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y)))), join(join(meet(X, Y), meet(Y, join(X, Y))), join(meet(X, join(join(meet(Y, Z), meet(W, Y)), Y)), meet(Y, join(X, join(join(meet(Y, Z), meet(W, Y)), Y))))))), V)))
% 52.47/7.12 = { by lemma 8 }
% 52.47/7.12 join(meet(Y, V), meet(Y, join(Y, V)))
% 52.47/7.12 = { by lemma 5 }
% 52.47/7.12 Y
% 52.47/7.12
% 52.47/7.12 Lemma 11: join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))) = X.
% 52.47/7.12 Proof:
% 52.47/7.12 join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X))))
% 52.47/7.12 = { by lemma 10 R->L }
% 52.47/7.12 join(meet(X, join(join(meet(join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))), V), meet(U, join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))))), join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))))), meet(join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))), join(X, join(join(meet(join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))), V), meet(U, join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))))), join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X))))))))
% 52.47/7.12 = { by lemma 5 R->L }
% 52.47/7.12 join(meet(X, join(join(meet(join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))), V), meet(U, join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))))), join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))))), meet(join(meet(join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))), join(join(meet(X, Y), meet(Z, X)), X)), meet(join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))), join(join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))), join(join(meet(X, Y), meet(Z, X)), X)))), join(X, join(join(meet(join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))), V), meet(U, join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))))), join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X))))))))
% 52.47/7.12 = { by lemma 9 R->L }
% 52.47/7.12 join(meet(join(meet(join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))), X), meet(X, join(join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))), X))), join(join(meet(join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))), V), meet(U, join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))))), join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))))), meet(join(meet(join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))), join(join(meet(X, Y), meet(Z, X)), X)), meet(join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))), join(join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))), join(join(meet(X, Y), meet(Z, X)), X)))), join(X, join(join(meet(join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))), V), meet(U, join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))))), join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X))))))))
% 52.47/7.12 = { by lemma 9 R->L }
% 52.47/7.13 join(meet(join(meet(join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))), X), meet(X, join(join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))), X))), join(join(meet(join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))), V), meet(U, join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))))), join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))))), meet(join(meet(join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))), join(join(meet(X, Y), meet(Z, X)), X)), meet(join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))), join(join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))), join(join(meet(X, Y), meet(Z, X)), X)))), join(join(meet(join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))), X), meet(X, join(join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))), X))), join(join(meet(join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))), V), meet(U, join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X)))))), join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(W, join(X, meet(meet(join(X, Y), join(Z, X)), X))))))))
% 52.47/7.13 = { by axiom 1 (single_axiom) }
% 52.47/7.13 X
% 52.47/7.13
% 52.47/7.13 Lemma 12: meet(meet(join(X, Y), join(Z, X)), X) = X.
% 52.47/7.13 Proof:
% 52.47/7.13 meet(meet(join(X, Y), join(Z, X)), X)
% 52.47/7.13 = { by lemma 9 R->L }
% 52.47/7.13 join(meet(X, meet(meet(join(X, Y), join(Z, X)), X)), meet(meet(meet(join(X, Y), join(Z, X)), X), join(X, meet(meet(join(X, Y), join(Z, X)), X))))
% 52.47/7.13 = { by lemma 11 }
% 52.47/7.13 X
% 52.47/7.13
% 52.47/7.13 Lemma 13: join(meet(X, X), meet(Y, join(X, X))) = X.
% 52.47/7.13 Proof:
% 52.47/7.13 join(meet(X, X), meet(Y, join(X, X)))
% 52.47/7.13 = { by lemma 12 R->L }
% 52.47/7.13 join(meet(X, X), meet(Y, join(X, meet(meet(join(X, Z), join(W, X)), X))))
% 52.47/7.13 = { by lemma 12 R->L }
% 52.47/7.13 join(meet(X, meet(meet(join(X, Z), join(W, X)), X)), meet(Y, join(X, meet(meet(join(X, Z), join(W, X)), X))))
% 52.47/7.13 = { by lemma 11 }
% 52.47/7.13 X
% 52.47/7.13
% 52.47/7.13 Lemma 14: join(join(meet(X, Y), meet(Z, X)), X) = X.
% 52.47/7.13 Proof:
% 52.47/7.13 join(join(meet(X, Y), meet(Z, X)), X)
% 52.47/7.13 = { by lemma 13 R->L }
% 52.47/7.13 join(meet(join(join(meet(X, Y), meet(Z, X)), X), join(join(meet(X, Y), meet(Z, X)), X)), meet(X, join(join(join(meet(X, Y), meet(Z, X)), X), join(join(meet(X, Y), meet(Z, X)), X))))
% 52.47/7.13 = { by lemma 10 }
% 52.47/7.13 X
% 52.47/7.13
% 52.47/7.13 Lemma 15: meet(meet(join(X, Y), X), X) = X.
% 52.47/7.13 Proof:
% 52.47/7.13 meet(meet(join(X, Y), X), X)
% 52.47/7.13 = { by lemma 14 R->L }
% 52.47/7.13 meet(meet(join(X, Y), join(join(meet(X, Z), meet(W, X)), X)), X)
% 52.47/7.13 = { by lemma 12 }
% 52.47/7.13 X
% 52.47/7.13
% 52.47/7.13 Lemma 16: meet(meet(X, meet(X, Y)), meet(X, Y)) = meet(X, Y).
% 52.47/7.13 Proof:
% 52.47/7.13 meet(meet(X, meet(X, Y)), meet(X, Y))
% 52.47/7.13 = { by lemma 5 R->L }
% 52.47/7.13 meet(meet(join(meet(X, Y), meet(X, join(X, Y))), meet(X, Y)), meet(X, Y))
% 52.47/7.13 = { by lemma 15 }
% 52.47/7.13 meet(X, Y)
% 52.47/7.13
% 52.47/7.13 Lemma 17: meet(X, X) = X.
% 52.47/7.13 Proof:
% 52.47/7.13 meet(X, X)
% 52.47/7.13 = { by lemma 12 R->L }
% 52.47/7.13 meet(meet(meet(join(X, Y), join(Z, X)), X), X)
% 52.47/7.13 = { by lemma 12 R->L }
% 52.47/7.13 meet(meet(meet(join(X, Y), join(Z, X)), X), meet(meet(join(X, Y), join(Z, X)), X))
% 52.47/7.13 = { by lemma 12 R->L }
% 52.47/7.13 meet(meet(meet(join(X, Y), join(Z, X)), meet(meet(join(X, Y), join(Z, X)), X)), meet(meet(join(X, Y), join(Z, X)), X))
% 52.47/7.13 = { by lemma 16 }
% 52.47/7.13 meet(meet(join(X, Y), join(Z, X)), X)
% 52.47/7.13 = { by lemma 12 }
% 52.47/7.13 X
% 52.47/7.13
% 52.47/7.13 Lemma 18: join(join(meet(X, Y), X), X) = X.
% 52.47/7.13 Proof:
% 52.47/7.13 join(join(meet(X, Y), X), X)
% 52.47/7.13 = { by lemma 12 R->L }
% 52.47/7.13 join(join(meet(X, Y), meet(meet(join(X, Z), join(W, X)), X)), X)
% 52.47/7.13 = { by lemma 14 }
% 52.47/7.13 X
% 52.47/7.13
% 52.47/7.13 Lemma 19: join(X, X) = X.
% 52.47/7.13 Proof:
% 52.47/7.13 join(X, X)
% 52.47/7.13 = { by lemma 17 R->L }
% 52.47/7.13 join(X, meet(X, X))
% 52.47/7.13 = { by lemma 12 R->L }
% 52.47/7.13 join(meet(meet(join(X, X), join(X, X)), X), meet(X, X))
% 52.47/7.13 = { by lemma 17 }
% 52.47/7.13 join(meet(join(X, X), X), meet(X, X))
% 52.47/7.13 = { by lemma 18 R->L }
% 52.47/7.13 join(meet(join(X, X), X), meet(X, join(join(meet(X, X), X), X)))
% 52.47/7.13 = { by lemma 17 }
% 52.47/7.13 join(meet(join(X, X), X), meet(X, join(join(X, X), X)))
% 52.47/7.13 = { by lemma 9 }
% 52.47/7.13 X
% 52.47/7.13
% 52.47/7.13 Lemma 20: join(X, meet(Y, X)) = X.
% 52.47/7.13 Proof:
% 52.47/7.13 join(X, meet(Y, X))
% 52.47/7.13 = { by lemma 17 R->L }
% 52.47/7.13 join(meet(X, X), meet(Y, X))
% 52.47/7.13 = { by lemma 19 R->L }
% 52.47/7.13 join(meet(X, X), meet(Y, join(X, X)))
% 52.47/7.13 = { by lemma 13 }
% 52.47/7.13 X
% 52.47/7.13
% 52.47/7.13 Lemma 21: meet(X, meet(Y, X)) = meet(Y, X).
% 52.47/7.13 Proof:
% 52.47/7.13 meet(X, meet(Y, X))
% 52.47/7.13 = { by lemma 18 R->L }
% 52.47/7.13 join(join(meet(meet(X, meet(Y, X)), meet(Y, X)), meet(X, meet(Y, X))), meet(X, meet(Y, X)))
% 52.47/7.13 = { by lemma 9 R->L }
% 52.47/7.13 join(join(meet(meet(join(meet(Y, X), meet(X, join(Y, X))), meet(Y, X)), meet(Y, X)), meet(X, meet(Y, X))), meet(X, meet(Y, X)))
% 52.47/7.13 = { by lemma 15 }
% 52.47/7.13 join(join(meet(Y, X), meet(X, meet(Y, X))), meet(X, meet(Y, X)))
% 52.47/7.13 = { by lemma 20 }
% 52.47/7.13 join(meet(Y, X), meet(X, meet(Y, X)))
% 52.47/7.13 = { by lemma 20 }
% 52.47/7.13 meet(Y, X)
% 52.47/7.13
% 52.47/7.13 Lemma 22: join(meet(meet(X, Y), meet(X, join(X, Y))), meet(meet(X, Y), X)) = meet(X, Y).
% 52.47/7.13 Proof:
% 52.47/7.13 join(meet(meet(X, Y), meet(X, join(X, Y))), meet(meet(X, Y), X))
% 52.47/7.13 = { by lemma 5 R->L }
% 52.47/7.13 join(meet(meet(X, Y), meet(X, join(X, Y))), meet(meet(X, Y), join(meet(X, Y), meet(X, join(X, Y)))))
% 52.47/7.13 = { by lemma 5 }
% 52.47/7.13 meet(X, Y)
% 52.47/7.13
% 52.47/7.13 Lemma 23: meet(meet(X, Y), Y) = meet(X, Y).
% 52.47/7.13 Proof:
% 52.47/7.13 meet(meet(X, Y), Y)
% 52.47/7.13 = { by lemma 19 R->L }
% 52.47/7.13 join(meet(meet(X, Y), Y), meet(meet(X, Y), Y))
% 52.47/7.13 = { by lemma 21 R->L }
% 52.47/7.13 join(meet(meet(X, Y), Y), meet(meet(Y, meet(X, Y)), Y))
% 52.47/7.13 = { by lemma 17 R->L }
% 52.47/7.13 join(meet(meet(X, Y), meet(Y, Y)), meet(meet(Y, meet(X, Y)), Y))
% 52.47/7.13 = { by lemma 20 R->L }
% 52.47/7.13 join(meet(meet(X, Y), meet(Y, join(Y, meet(X, Y)))), meet(meet(Y, meet(X, Y)), Y))
% 52.47/7.13 = { by lemma 21 R->L }
% 52.47/7.13 join(meet(meet(Y, meet(X, Y)), meet(Y, join(Y, meet(X, Y)))), meet(meet(Y, meet(X, Y)), Y))
% 52.47/7.13 = { by lemma 22 }
% 52.47/7.13 meet(Y, meet(X, Y))
% 52.47/7.13 = { by lemma 21 }
% 52.47/7.13 meet(X, Y)
% 52.47/7.13
% 52.47/7.13 Lemma 24: meet(join(X, Y), X) = X.
% 52.47/7.13 Proof:
% 52.47/7.13 meet(join(X, Y), X)
% 52.47/7.13 = { by lemma 23 R->L }
% 52.47/7.13 meet(meet(join(X, Y), X), X)
% 52.47/7.13 = { by lemma 15 }
% 52.47/7.13 X
% 52.47/7.13
% 52.47/7.13 Lemma 25: meet(X, meet(X, Y)) = meet(X, Y).
% 52.47/7.13 Proof:
% 52.47/7.13 meet(X, meet(X, Y))
% 52.47/7.13 = { by lemma 23 R->L }
% 52.47/7.13 meet(meet(X, meet(X, Y)), meet(X, Y))
% 52.47/7.13 = { by lemma 16 }
% 52.47/7.13 meet(X, Y)
% 52.47/7.13
% 52.47/7.13 Lemma 26: meet(meet(X, join(Y, X)), X) = X.
% 52.47/7.13 Proof:
% 52.47/7.13 meet(meet(X, join(Y, X)), X)
% 52.47/7.13 = { by lemma 17 R->L }
% 52.47/7.13 meet(meet(X, join(Y, X)), meet(X, X))
% 52.47/7.13 = { by lemma 24 R->L }
% 52.47/7.13 meet(meet(meet(join(X, Z), X), join(Y, X)), meet(X, X))
% 52.47/7.13 = { by lemma 24 R->L }
% 52.47/7.13 meet(meet(meet(join(X, Z), X), join(Y, X)), meet(meet(join(X, Z), X), X))
% 52.47/7.13 = { by lemma 15 R->L }
% 52.47/7.13 meet(meet(meet(join(X, Z), X), join(Y, meet(meet(join(X, Z), X), X))), meet(meet(join(X, Z), X), X))
% 52.47/7.13 = { by lemma 5 R->L }
% 52.47/7.13 meet(meet(join(meet(meet(join(X, Z), X), X), meet(meet(join(X, Z), X), join(meet(join(X, Z), X), X))), join(Y, meet(meet(join(X, Z), X), X))), meet(meet(join(X, Z), X), X))
% 52.47/7.13 = { by lemma 12 }
% 52.47/7.13 meet(meet(join(X, Z), X), X)
% 52.47/7.13 = { by lemma 15 }
% 52.47/7.14 X
% 52.47/7.14
% 52.47/7.14 Lemma 27: meet(X, join(Y, X)) = X.
% 52.47/7.14 Proof:
% 52.47/7.14 meet(X, join(Y, X))
% 52.47/7.14 = { by lemma 5 R->L }
% 52.47/7.14 join(meet(meet(X, join(Y, X)), X), meet(meet(X, join(Y, X)), join(meet(X, join(Y, X)), X)))
% 52.47/7.14 = { by lemma 20 R->L }
% 52.47/7.14 join(meet(meet(X, join(Y, X)), X), meet(meet(X, join(Y, X)), join(join(meet(X, join(Y, X)), X), meet(X, join(meet(X, join(Y, X)), X)))))
% 52.47/7.14 = { by lemma 25 R->L }
% 52.47/7.14 join(meet(meet(X, join(Y, X)), X), meet(meet(X, join(Y, X)), join(join(meet(X, join(Y, X)), X), meet(X, meet(X, join(meet(X, join(Y, X)), X))))))
% 52.47/7.14 = { by lemma 26 R->L }
% 52.47/7.14 join(meet(meet(X, join(Y, X)), X), meet(meet(X, join(Y, X)), join(join(meet(X, join(Y, X)), X), meet(meet(meet(X, join(Y, X)), X), meet(X, join(meet(X, join(Y, X)), X))))))
% 52.47/7.14 = { by lemma 22 R->L }
% 52.47/7.14 join(meet(meet(X, join(Y, X)), X), meet(meet(X, join(Y, X)), join(join(meet(X, join(Y, X)), X), join(meet(meet(meet(meet(X, join(Y, X)), X), meet(X, join(meet(X, join(Y, X)), X))), meet(meet(meet(X, join(Y, X)), X), join(meet(meet(X, join(Y, X)), X), meet(X, join(meet(X, join(Y, X)), X))))), meet(meet(meet(meet(X, join(Y, X)), X), meet(X, join(meet(X, join(Y, X)), X))), meet(meet(X, join(Y, X)), X))))))
% 52.47/7.14 = { by lemma 9 }
% 52.47/7.14 join(meet(meet(X, join(Y, X)), X), meet(meet(X, join(Y, X)), join(join(meet(X, join(Y, X)), X), join(meet(meet(meet(meet(X, join(Y, X)), X), meet(X, join(meet(X, join(Y, X)), X))), meet(meet(meet(X, join(Y, X)), X), X)), meet(meet(meet(meet(X, join(Y, X)), X), meet(X, join(meet(X, join(Y, X)), X))), meet(meet(X, join(Y, X)), X))))))
% 52.47/7.14 = { by lemma 26 }
% 52.47/7.14 join(meet(meet(X, join(Y, X)), X), meet(meet(X, join(Y, X)), join(join(meet(X, join(Y, X)), X), join(meet(meet(X, meet(X, join(meet(X, join(Y, X)), X))), meet(meet(meet(X, join(Y, X)), X), X)), meet(meet(meet(meet(X, join(Y, X)), X), meet(X, join(meet(X, join(Y, X)), X))), meet(meet(X, join(Y, X)), X))))))
% 52.47/7.14 = { by lemma 25 }
% 52.47/7.14 join(meet(meet(X, join(Y, X)), X), meet(meet(X, join(Y, X)), join(join(meet(X, join(Y, X)), X), join(meet(meet(X, join(meet(X, join(Y, X)), X)), meet(meet(meet(X, join(Y, X)), X), X)), meet(meet(meet(meet(X, join(Y, X)), X), meet(X, join(meet(X, join(Y, X)), X))), meet(meet(X, join(Y, X)), X))))))
% 52.47/7.14 = { by lemma 23 }
% 52.47/7.14 join(meet(meet(X, join(Y, X)), X), meet(meet(X, join(Y, X)), join(join(meet(X, join(Y, X)), X), join(meet(meet(X, join(meet(X, join(Y, X)), X)), meet(meet(X, join(Y, X)), X)), meet(meet(meet(meet(X, join(Y, X)), X), meet(X, join(meet(X, join(Y, X)), X))), meet(meet(X, join(Y, X)), X))))))
% 52.47/7.14 = { by lemma 26 }
% 52.47/7.14 join(meet(meet(X, join(Y, X)), X), meet(meet(X, join(Y, X)), join(join(meet(X, join(Y, X)), X), join(meet(meet(X, join(meet(X, join(Y, X)), X)), X), meet(meet(meet(meet(X, join(Y, X)), X), meet(X, join(meet(X, join(Y, X)), X))), meet(meet(X, join(Y, X)), X))))))
% 52.47/7.14 = { by lemma 26 }
% 52.47/7.14 join(meet(meet(X, join(Y, X)), X), meet(meet(X, join(Y, X)), join(join(meet(X, join(Y, X)), X), join(meet(meet(X, join(meet(X, join(Y, X)), X)), X), meet(meet(X, meet(X, join(meet(X, join(Y, X)), X))), meet(meet(X, join(Y, X)), X))))))
% 52.47/7.14 = { by lemma 26 }
% 52.47/7.14 join(meet(meet(X, join(Y, X)), X), meet(meet(X, join(Y, X)), join(join(meet(X, join(Y, X)), X), join(meet(meet(X, join(meet(X, join(Y, X)), X)), X), meet(meet(X, meet(X, join(meet(X, join(Y, X)), X))), X)))))
% 52.47/7.14 = { by lemma 26 }
% 52.47/7.14 join(meet(meet(X, join(Y, X)), X), meet(meet(X, join(Y, X)), join(join(meet(X, join(Y, X)), X), join(X, meet(meet(X, meet(X, join(meet(X, join(Y, X)), X))), X)))))
% 52.47/7.14 = { by lemma 20 }
% 52.47/7.14 join(meet(meet(X, join(Y, X)), X), meet(meet(X, join(Y, X)), join(join(meet(X, join(Y, X)), X), X)))
% 52.47/7.14 = { by lemma 18 }
% 52.47/7.14 join(meet(meet(X, join(Y, X)), X), meet(meet(X, join(Y, X)), X))
% 52.47/7.14 = { by lemma 19 }
% 52.47/7.14 meet(meet(X, join(Y, X)), X)
% 52.47/7.14 = { by lemma 26 }
% 52.47/7.14 X
% 52.47/7.14
% 52.47/7.14 Lemma 28: meet(X, join(X, Y)) = X.
% 52.47/7.14 Proof:
% 52.47/7.14 meet(X, join(X, Y))
% 52.47/7.14 = { by lemma 19 R->L }
% 52.47/7.14 join(meet(X, join(X, Y)), meet(X, join(X, Y)))
% 52.47/7.14 = { by lemma 18 R->L }
% 52.47/7.14 join(meet(X, join(X, Y)), meet(X, join(join(meet(join(X, Y), X), join(X, Y)), join(X, Y))))
% 52.47/7.14 = { by lemma 24 }
% 52.47/7.14 join(meet(X, join(X, Y)), meet(X, join(join(X, join(X, Y)), join(X, Y))))
% 52.47/7.15 = { by lemma 27 R->L }
% 52.47/7.15 join(meet(X, join(X, Y)), meet(X, join(join(X, join(X, Y)), meet(join(X, Y), join(X, join(X, Y))))))
% 52.47/7.15 = { by lemma 20 }
% 52.47/7.15 join(meet(X, join(X, Y)), meet(X, join(X, join(X, Y))))
% 52.47/7.15 = { by lemma 5 }
% 52.47/7.15 X
% 52.47/7.15
% 52.47/7.15 Lemma 29: meet(meet(X, Y), X) = meet(X, Y).
% 52.47/7.15 Proof:
% 52.47/7.15 meet(meet(X, Y), X)
% 52.47/7.15 = { by lemma 5 R->L }
% 52.47/7.15 meet(meet(X, Y), join(meet(X, Y), meet(X, join(X, Y))))
% 52.47/7.15 = { by lemma 28 }
% 52.47/7.15 meet(X, Y)
% 52.47/7.15
% 52.47/7.15 Lemma 30: join(X, meet(X, Y)) = X.
% 52.47/7.15 Proof:
% 52.47/7.15 join(X, meet(X, Y))
% 52.47/7.15 = { by lemma 19 R->L }
% 52.47/7.15 join(X, meet(join(X, X), Y))
% 52.47/7.15 = { by lemma 12 R->L }
% 52.47/7.15 join(meet(meet(join(X, Z), join(W, X)), X), meet(join(X, X), Y))
% 52.47/7.15 = { by lemma 12 R->L }
% 52.47/7.15 join(meet(meet(join(X, Z), join(W, X)), X), meet(join(X, meet(meet(join(X, Z), join(W, X)), X)), Y))
% 52.47/7.15 = { by lemma 21 R->L }
% 52.47/7.15 join(meet(X, meet(meet(join(X, Z), join(W, X)), X)), meet(join(X, meet(meet(join(X, Z), join(W, X)), X)), Y))
% 52.47/7.15 = { by lemma 29 R->L }
% 52.47/7.15 join(meet(X, meet(meet(join(X, Z), join(W, X)), X)), meet(meet(join(X, meet(meet(join(X, Z), join(W, X)), X)), Y), join(X, meet(meet(join(X, Z), join(W, X)), X))))
% 52.47/7.15 = { by lemma 11 }
% 52.47/7.15 X
% 52.47/7.15
% 52.47/7.15 Lemma 31: meet(meet(X, Y), meet(Y, X)) = meet(Y, X).
% 52.47/7.15 Proof:
% 52.47/7.15 meet(meet(X, Y), meet(Y, X))
% 52.47/7.15 = { by lemma 9 R->L }
% 52.47/7.15 meet(meet(join(meet(Y, X), meet(X, join(Y, X))), Y), meet(Y, X))
% 52.47/7.15 = { by lemma 29 R->L }
% 52.47/7.15 meet(meet(join(meet(Y, X), meet(X, join(Y, X))), Y), meet(meet(Y, X), Y))
% 52.47/7.15 = { by lemma 30 R->L }
% 52.47/7.15 meet(meet(join(meet(Y, X), meet(X, join(Y, X))), join(Y, meet(Y, X))), meet(meet(Y, X), Y))
% 52.47/7.15 = { by lemma 30 R->L }
% 52.47/7.15 meet(meet(join(meet(Y, X), meet(X, join(Y, X))), join(Y, meet(Y, X))), meet(meet(Y, X), join(Y, meet(Y, X))))
% 52.47/7.15 = { by lemma 27 R->L }
% 52.47/7.15 meet(meet(join(meet(meet(Y, X), join(Y, meet(Y, X))), meet(X, join(Y, X))), join(Y, meet(Y, X))), meet(meet(Y, X), join(Y, meet(Y, X))))
% 52.47/7.15 = { by lemma 20 R->L }
% 52.47/7.15 meet(meet(join(meet(meet(Y, X), join(join(Y, meet(Y, X)), meet(meet(join(join(Y, meet(Y, X)), Z), join(W, join(Y, meet(Y, X)))), join(Y, meet(Y, X))))), meet(X, join(Y, X))), join(Y, meet(Y, X))), meet(meet(Y, X), join(Y, meet(Y, X))))
% 52.47/7.15 = { by lemma 20 R->L }
% 52.47/7.15 meet(meet(join(meet(meet(Y, X), join(join(Y, meet(Y, X)), meet(meet(join(join(Y, meet(Y, X)), Z), join(W, join(Y, meet(Y, X)))), join(Y, meet(Y, X))))), meet(X, join(Y, X))), join(Y, meet(Y, X))), meet(meet(Y, X), join(join(Y, meet(Y, X)), meet(meet(join(join(Y, meet(Y, X)), Z), join(W, join(Y, meet(Y, X)))), join(Y, meet(Y, X))))))
% 52.47/7.15 = { by lemma 11 R->L }
% 52.47/7.15 meet(meet(join(meet(meet(Y, X), join(join(Y, meet(Y, X)), meet(meet(join(join(Y, meet(Y, X)), Z), join(W, join(Y, meet(Y, X)))), join(Y, meet(Y, X))))), meet(X, join(Y, X))), join(meet(join(Y, meet(Y, X)), meet(meet(join(join(Y, meet(Y, X)), Z), join(W, join(Y, meet(Y, X)))), join(Y, meet(Y, X)))), meet(meet(Y, X), join(join(Y, meet(Y, X)), meet(meet(join(join(Y, meet(Y, X)), Z), join(W, join(Y, meet(Y, X)))), join(Y, meet(Y, X))))))), meet(meet(Y, X), join(join(Y, meet(Y, X)), meet(meet(join(join(Y, meet(Y, X)), Z), join(W, join(Y, meet(Y, X)))), join(Y, meet(Y, X))))))
% 52.47/7.15 = { by lemma 12 }
% 52.47/7.15 meet(meet(Y, X), join(join(Y, meet(Y, X)), meet(meet(join(join(Y, meet(Y, X)), Z), join(W, join(Y, meet(Y, X)))), join(Y, meet(Y, X)))))
% 52.47/7.15 = { by lemma 20 }
% 52.47/7.15 meet(meet(Y, X), join(Y, meet(Y, X)))
% 52.47/7.15 = { by lemma 27 }
% 52.47/7.15 meet(Y, X)
% 52.47/7.15
% 52.47/7.15 Lemma 32: meet(Y, X) = meet(X, Y).
% 52.47/7.15 Proof:
% 52.47/7.15 meet(Y, X)
% 52.47/7.15 = { by lemma 31 R->L }
% 52.47/7.15 meet(meet(X, Y), meet(Y, X))
% 52.47/7.15 = { by lemma 30 R->L }
% 52.47/7.15 meet(meet(X, Y), join(meet(Y, X), meet(meet(Y, X), meet(X, Y))))
% 52.47/7.15 = { by lemma 31 R->L }
% 52.47/7.15 meet(meet(meet(Y, X), meet(X, Y)), join(meet(Y, X), meet(meet(Y, X), meet(X, Y))))
% 52.47/7.15 = { by lemma 27 }
% 52.47/7.15 meet(meet(Y, X), meet(X, Y))
% 52.47/7.15 = { by lemma 31 }
% 52.47/7.15 meet(X, Y)
% 52.47/7.15
% 52.47/7.15 Lemma 33: join(join(X, Y), join(Y, X)) = join(Y, X).
% 52.47/7.15 Proof:
% 52.47/7.15 join(join(X, Y), join(Y, X))
% 52.47/7.15 = { by lemma 27 R->L }
% 52.47/7.15 join(join(meet(X, join(Y, X)), Y), join(Y, X))
% 52.47/7.15 = { by lemma 32 }
% 52.47/7.15 join(join(meet(join(Y, X), X), Y), join(Y, X))
% 52.47/7.15 = { by lemma 24 R->L }
% 52.47/7.15 join(join(meet(join(Y, X), X), meet(join(Y, X), Y)), join(Y, X))
% 52.47/7.15 = { by lemma 32 }
% 52.47/7.15 join(join(meet(join(Y, X), X), meet(Y, join(Y, X))), join(Y, X))
% 52.47/7.15 = { by lemma 14 }
% 52.47/7.15 join(Y, X)
% 52.47/7.15
% 52.47/7.15 Lemma 34: join(X, Y) = join(Y, X).
% 52.47/7.15 Proof:
% 52.47/7.15 join(X, Y)
% 52.47/7.15 = { by lemma 33 R->L }
% 52.47/7.15 join(join(Y, X), join(X, Y))
% 52.47/7.15 = { by lemma 20 R->L }
% 52.47/7.15 join(join(join(Y, X), join(X, Y)), meet(join(Y, X), join(join(Y, X), join(X, Y))))
% 52.47/7.15 = { by lemma 28 }
% 52.47/7.15 join(join(join(Y, X), join(X, Y)), join(Y, X))
% 52.47/7.15 = { by lemma 33 }
% 52.47/7.15 join(join(X, Y), join(Y, X))
% 52.47/7.15 = { by lemma 33 }
% 52.47/7.15 join(Y, X)
% 52.47/7.15
% 52.47/7.15 Goal 1 (prove_wal_axioms): tuple(join(join(meet(a, b), meet(c, b)), b), join(a, a), join(b, a), meet(meet(join(a, b), join(c, b)), b), meet(a, a), meet(b, a)) = tuple(b, a, join(a, b), b, a, meet(a, b)).
% 52.47/7.15 Proof:
% 52.47/7.15 tuple(join(join(meet(a, b), meet(c, b)), b), join(a, a), join(b, a), meet(meet(join(a, b), join(c, b)), b), meet(a, a), meet(b, a))
% 52.47/7.15 = { by lemma 21 R->L }
% 52.47/7.15 tuple(join(join(meet(b, meet(a, b)), meet(c, b)), b), join(a, a), join(b, a), meet(meet(join(a, b), join(c, b)), b), meet(a, a), meet(b, a))
% 52.47/7.15 = { by lemma 14 }
% 52.47/7.15 tuple(b, join(a, a), join(b, a), meet(meet(join(a, b), join(c, b)), b), meet(a, a), meet(b, a))
% 52.47/7.15 = { by lemma 19 }
% 52.47/7.15 tuple(b, a, join(b, a), meet(meet(join(a, b), join(c, b)), b), meet(a, a), meet(b, a))
% 52.47/7.15 = { by lemma 17 }
% 52.47/7.15 tuple(b, a, join(b, a), meet(meet(join(a, b), join(c, b)), b), a, meet(b, a))
% 52.47/7.15 = { by lemma 34 }
% 52.47/7.15 tuple(b, a, join(a, b), meet(meet(join(a, b), join(c, b)), b), a, meet(b, a))
% 52.47/7.15 = { by lemma 32 R->L }
% 52.47/7.15 tuple(b, a, join(a, b), meet(b, meet(join(a, b), join(c, b))), a, meet(b, a))
% 52.47/7.15 = { by lemma 32 R->L }
% 52.47/7.15 tuple(b, a, join(a, b), meet(b, meet(join(a, b), join(c, b))), a, meet(a, b))
% 52.47/7.15 = { by lemma 32 R->L }
% 52.47/7.15 tuple(b, a, join(a, b), meet(b, meet(join(c, b), join(a, b))), a, meet(a, b))
% 52.47/7.15 = { by lemma 34 R->L }
% 52.47/7.15 tuple(b, a, join(a, b), meet(b, meet(join(c, b), join(b, a))), a, meet(a, b))
% 52.47/7.15 = { by lemma 32 }
% 52.47/7.16 tuple(b, a, join(a, b), meet(b, meet(join(b, a), join(c, b))), a, meet(a, b))
% 52.47/7.16 = { by lemma 29 R->L }
% 52.47/7.16 tuple(b, a, join(a, b), meet(meet(b, meet(join(b, a), join(c, b))), b), a, meet(a, b))
% 52.47/7.16 = { by lemma 12 R->L }
% 52.47/7.16 tuple(b, a, join(a, b), meet(meet(b, meet(join(b, a), join(c, b))), meet(meet(join(b, a), join(c, b)), b)), a, meet(a, b))
% 52.47/7.16 = { by lemma 31 }
% 52.47/7.16 tuple(b, a, join(a, b), meet(meet(join(b, a), join(c, b)), b), a, meet(a, b))
% 52.47/7.16 = { by lemma 12 }
% 52.47/7.16 tuple(b, a, join(a, b), b, a, meet(a, b))
% 52.47/7.16 % SZS output end Proof
% 52.47/7.16
% 52.47/7.16 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------