%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : LCL644+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_super_zenon -p0 -itptp -om -max-time %d %s

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 14:52:15 EDT 2022

% Result   : Theorem 0.20s 0.41s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : LCL644+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.14/0.34  % Computer : n020.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jul  3 16:24:45 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.41  % SZS status Theorem
% 0.20/0.41  (* PROOF-FOUND *)
% 0.20/0.41  (* BEGIN-PROOF *)
% 0.20/0.41  % SZS output start Proof
% 0.20/0.41  1. (p5 T_0) (-. (p5 T_0))   ### Axiom
% 0.20/0.41  2. (-. ((-. (r1 T_1 T_0)) \/ ((p5 T_0) \/ (-. ((All X, ((-. (r1 T_0 X)) \/ (p5 X))) /\ (p5 T_0))))))   ### ConjTree 1
% 0.20/0.41  3. (-. (All Y, ((-. (r1 T_1 Y)) \/ ((p5 Y) \/ (-. ((All X, ((-. (r1 Y X)) \/ (p5 X))) /\ (p5 Y)))))))   ### NotAllEx 2
% 0.20/0.41  4. (-. ((-. ((All Y, ((-. (r1 T_1 Y)) \/ ((-. ((p6 Y) /\ (All X, ((-. (r1 Y X)) \/ (p6 X))))) \/ (p5 Y)))) \/ ((All Y, ((-. (r1 T_1 Y)) \/ ((p6 Y) \/ (-. ((p5 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p5 X))) /\ (p5 Y))))))) \/ (-. ((All Y, ((-. (r1 T_1 Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((-. ((p6 X) /\ (All Y, ((-. (r1 X Y)) \/ (p6 Y))))) \/ (p5 X)))) \/ ((p6 Y) \/ (-. ((p5 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p5 X))) /\ (p5 Y)))))))) /\ ((All Y, ((-. (r1 T_1 Y)) \/ ((-. ((p6 Y) /\ (All X, ((-. (r1 Y X)) \/ (p6 X))))) \/ ((p5 Y) \/ (All X, ((-. (r1 Y X)) \/ ((p6 X) \/ (-. ((p5 X) /\ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) /\ (p5 X))))))))))) /\ (All Y, ((-. (r1 T_1 Y)) \/ ((-. ((p6 Y) /\ (All X, ((-. (r1 Y X)) \/ (p6 X))))) \/ ((p5 Y) \/ ((p6 Y) \/ (-. ((p5 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p5 X))) /\ (p5 Y))))))))))))))) \/ ((-. ((All Y, ((-. (r1 T_1 Y)) \/ ((-. ((p5 Y) /\ (All X, ((-. (r1 Y X)) \/ (p5 X))))) \/ (p4 Y)))) \/ ((All Y, ((-. (r1 T_1 Y)) \/ ((p5 Y) \/ (-. ((p4 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p4 X))) /\ (p4 Y))))))) \/ (-. ((All Y, ((-. (r1 T_1 Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((-. ((p5 X) /\ (All Y, ((-. (r1 X Y)) \/ (p5 Y))))) \/ (p4 X)))) \/ ((p5 Y) \/ (-. ((p4 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p4 X))) /\ (p4 Y)))))))) /\ ((All Y, ((-. (r1 T_1 Y)) \/ ((-. ((p5 Y) /\ (All X, ((-. (r1 Y X)) \/ (p5 X))))) \/ ((p4 Y) \/ (All X, ((-. (r1 Y X)) \/ ((p5 X) \/ (-. ((p4 X) /\ ((All Y, ((-. (r1 X Y)) \/ (p4 Y))) /\ (p4 X))))))))))) /\ (All Y, ((-. (r1 T_1 Y)) \/ ((-. ((p5 Y) /\ (All X, ((-. (r1 Y X)) \/ (p5 X))))) \/ ((p4 Y) \/ ((p5 Y) \/ (-. ((p4 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p4 X))) /\ (p4 Y))))))))))))))) \/ ((-. ((All Y, ((-. (r1 T_1 Y)) \/ ((-. ((p4 Y) /\ (All X, ((-. (r1 Y X)) \/ (p4 X))))) \/ (p3 Y)))) \/ ((All Y, ((-. (r1 T_1 Y)) \/ ((p4 Y) \/ (-. ((p3 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p3 X))) /\ (p3 Y))))))) \/ (-. ((All Y, ((-. (r1 T_1 Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((-. ((p4 X) /\ (All Y, ((-. (r1 X Y)) \/ (p4 Y))))) \/ (p3 X)))) \/ ((p4 Y) \/ (-. ((p3 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p3 X))) /\ (p3 Y)))))))) /\ ((All Y, ((-. (r1 T_1 Y)) \/ ((-. ((p4 Y) /\ (All X, ((-. (r1 Y X)) \/ (p4 X))))) \/ ((p3 Y) \/ (All X, ((-. (r1 Y X)) \/ ((p4 X) \/ (-. ((p3 X) /\ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) /\ (p3 X))))))))))) /\ (All Y, ((-. (r1 T_1 Y)) \/ ((-. ((p4 Y) /\ (All X, ((-. (r1 Y X)) \/ (p4 X))))) \/ ((p3 Y) \/ ((p4 Y) \/ (-. ((p3 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p3 X))) /\ (p3 Y))))))))))))))) \/ ((-. ((All Y, ((-. (r1 T_1 Y)) \/ ((-. ((p3 Y) /\ (All X, ((-. (r1 Y X)) \/ (p3 X))))) \/ (p2 Y)))) \/ ((All Y, ((-. (r1 T_1 Y)) \/ ((p3 Y) \/ (-. ((p2 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p2 X))) /\ (p2 Y))))))) \/ (-. ((All Y, ((-. (r1 T_1 Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((-. ((p3 X) /\ (All Y, ((-. (r1 X Y)) \/ (p3 Y))))) \/ (p2 X)))) \/ ((p3 Y) \/ (-. ((p2 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p2 X))) /\ (p2 Y)))))))) /\ ((All Y, ((-. (r1 T_1 Y)) \/ ((-. ((p3 Y) /\ (All X, ((-. (r1 Y X)) \/ (p3 X))))) \/ ((p2 Y) \/ (All X, ((-. (r1 Y X)) \/ ((p3 X) \/ (-. ((p2 X) /\ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) /\ (p2 X))))))))))) /\ (All Y, ((-. (r1 T_1 Y)) \/ ((-. ((p3 Y) /\ (All X, ((-. (r1 Y X)) \/ (p3 X))))) \/ ((p2 Y) \/ ((p3 Y) \/ (-. ((p2 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p2 X))) /\ (p2 Y))))))))))))))) \/ ((All Y, ((-. (r1 T_1 Y)) \/ ((p5 Y) \/ (-. ((All X, ((-. (r1 Y X)) \/ (p5 X))) /\ (p5 Y)))))) \/ ((All Y, ((-. (r1 T_1 Y)) \/ ((p5 Y) \/ (-. ((All X, ((-. (r1 Y X)) \/ (p5 X))) /\ (p5 Y)))))) \/ (-. ((All Y, ((-. (r1 T_1 Y)) \/ ((-. ((p2 Y) /\ (All X, ((-. (r1 Y X)) \/ (p2 X))))) \/ (p1 Y)))) \/ ((All Y, ((-. (r1 T_1 Y)) \/ ((p2 Y) \/ (-. ((p1 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p1 X))) /\ (p1 Y))))))) \/ (-. ((All Y, ((-. (r1 T_1 Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((-. ((p2 X) /\ (All Y, ((-. (r1 X Y)) \/ (p2 Y))))) \/ (p1 X)))) \/ ((p2 Y) \/ (-. ((p1 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p1 X))) /\ (p1 Y)))))))) /\ ((All Y, ((-. (r1 T_1 Y)) \/ ((-. ((p2 Y) /\ (All X, ((-. (r1 Y X)) \/ (p2 X))))) \/ ((p1 Y) \/ (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. ((p1 X) /\ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) /\ (p1 X))))))))))) /\ (All Y, ((-. (r1 T_1 Y)) \/ ((-. ((p2 Y) /\ (All X, ((-. (r1 Y X)) \/ (p2 X))))) \/ ((p1 Y) \/ ((p2 Y) \/ (-. ((p1 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p1 X))) /\ (p1 Y))))))))))))))))))))))   ### ConjTree 3
% 0.20/0.41  5. (Ex X, (-. ((-. ((All Y, ((-. (r1 X Y)) \/ ((-. ((p6 Y) /\ (All X, ((-. (r1 Y X)) \/ (p6 X))))) \/ (p5 Y)))) \/ ((All Y, ((-. (r1 X Y)) \/ ((p6 Y) \/ (-. ((p5 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p5 X))) /\ (p5 Y))))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((-. ((p6 X) /\ (All Y, ((-. (r1 X Y)) \/ (p6 Y))))) \/ (p5 X)))) \/ ((p6 Y) \/ (-. ((p5 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p5 X))) /\ (p5 Y)))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((-. ((p6 Y) /\ (All X, ((-. (r1 Y X)) \/ (p6 X))))) \/ ((p5 Y) \/ (All X, ((-. (r1 Y X)) \/ ((p6 X) \/ (-. ((p5 X) /\ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) /\ (p5 X))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((-. ((p6 Y) /\ (All X, ((-. (r1 Y X)) \/ (p6 X))))) \/ ((p5 Y) \/ ((p6 Y) \/ (-. ((p5 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p5 X))) /\ (p5 Y))))))))))))))) \/ ((-. ((All Y, ((-. (r1 X Y)) \/ ((-. ((p5 Y) /\ (All X, ((-. (r1 Y X)) \/ (p5 X))))) \/ (p4 Y)))) \/ ((All Y, ((-. (r1 X Y)) \/ ((p5 Y) \/ (-. ((p4 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p4 X))) /\ (p4 Y))))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((-. ((p5 X) /\ (All Y, ((-. (r1 X Y)) \/ (p5 Y))))) \/ (p4 X)))) \/ ((p5 Y) \/ (-. ((p4 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p4 X))) /\ (p4 Y)))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((-. ((p5 Y) /\ (All X, ((-. (r1 Y X)) \/ (p5 X))))) \/ ((p4 Y) \/ (All X, ((-. (r1 Y X)) \/ ((p5 X) \/ (-. ((p4 X) /\ ((All Y, ((-. (r1 X Y)) \/ (p4 Y))) /\ (p4 X))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((-. ((p5 Y) /\ (All X, ((-. (r1 Y X)) \/ (p5 X))))) \/ ((p4 Y) \/ ((p5 Y) \/ (-. ((p4 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p4 X))) /\ (p4 Y))))))))))))))) \/ ((-. ((All Y, ((-. (r1 X Y)) \/ ((-. ((p4 Y) /\ (All X, ((-. (r1 Y X)) \/ (p4 X))))) \/ (p3 Y)))) \/ ((All Y, ((-. (r1 X Y)) \/ ((p4 Y) \/ (-. ((p3 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p3 X))) /\ (p3 Y))))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((-. ((p4 X) /\ (All Y, ((-. (r1 X Y)) \/ (p4 Y))))) \/ (p3 X)))) \/ ((p4 Y) \/ (-. ((p3 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p3 X))) /\ (p3 Y)))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((-. ((p4 Y) /\ (All X, ((-. (r1 Y X)) \/ (p4 X))))) \/ ((p3 Y) \/ (All X, ((-. (r1 Y X)) \/ ((p4 X) \/ (-. ((p3 X) /\ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) /\ (p3 X))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((-. ((p4 Y) /\ (All X, ((-. (r1 Y X)) \/ (p4 X))))) \/ ((p3 Y) \/ ((p4 Y) \/ (-. ((p3 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p3 X))) /\ (p3 Y))))))))))))))) \/ ((-. ((All Y, ((-. (r1 X Y)) \/ ((-. ((p3 Y) /\ (All X, ((-. (r1 Y X)) \/ (p3 X))))) \/ (p2 Y)))) \/ ((All Y, ((-. (r1 X Y)) \/ ((p3 Y) \/ (-. ((p2 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p2 X))) /\ (p2 Y))))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((-. ((p3 X) /\ (All Y, ((-. (r1 X Y)) \/ (p3 Y))))) \/ (p2 X)))) \/ ((p3 Y) \/ (-. ((p2 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p2 X))) /\ (p2 Y)))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((-. ((p3 Y) /\ (All X, ((-. (r1 Y X)) \/ (p3 X))))) \/ ((p2 Y) \/ (All X, ((-. (r1 Y X)) \/ ((p3 X) \/ (-. ((p2 X) /\ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) /\ (p2 X))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((-. ((p3 Y) /\ (All X, ((-. (r1 Y X)) \/ (p3 X))))) \/ ((p2 Y) \/ ((p3 Y) \/ (-. ((p2 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p2 X))) /\ (p2 Y))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ ((p5 Y) \/ (-. ((All X, ((-. (r1 Y X)) \/ (p5 X))) /\ (p5 Y)))))) \/ ((All Y, ((-. (r1 X Y)) \/ ((p5 Y) \/ (-. ((All X, ((-. (r1 Y X)) \/ (p5 X))) /\ (p5 Y)))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ ((-. ((p2 Y) /\ (All X, ((-. (r1 Y X)) \/ (p2 X))))) \/ (p1 Y)))) \/ ((All Y, ((-. (r1 X Y)) \/ ((p2 Y) \/ (-. ((p1 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p1 X))) /\ (p1 Y))))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((-. ((p2 X) /\ (All Y, ((-. (r1 X Y)) \/ (p2 Y))))) \/ (p1 X)))) \/ ((p2 Y) \/ (-. ((p1 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p1 X))) /\ (p1 Y)))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((-. ((p2 Y) /\ (All X, ((-. (r1 Y X)) \/ (p2 X))))) \/ ((p1 Y) \/ (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. ((p1 X) /\ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) /\ (p1 X))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((-. ((p2 Y) /\ (All X, ((-. (r1 Y X)) \/ (p2 X))))) \/ ((p1 Y) \/ ((p2 Y) \/ (-. ((p1 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p1 X))) /\ (p1 Y)))))))))))))))))))))))   ### Exists 4
% 0.20/0.41  6. (-. (-. (Ex X, (-. ((-. ((All Y, ((-. (r1 X Y)) \/ ((-. ((p6 Y) /\ (All X, ((-. (r1 Y X)) \/ (p6 X))))) \/ (p5 Y)))) \/ ((All Y, ((-. (r1 X Y)) \/ ((p6 Y) \/ (-. ((p5 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p5 X))) /\ (p5 Y))))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((-. ((p6 X) /\ (All Y, ((-. (r1 X Y)) \/ (p6 Y))))) \/ (p5 X)))) \/ ((p6 Y) \/ (-. ((p5 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p5 X))) /\ (p5 Y)))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((-. ((p6 Y) /\ (All X, ((-. (r1 Y X)) \/ (p6 X))))) \/ ((p5 Y) \/ (All X, ((-. (r1 Y X)) \/ ((p6 X) \/ (-. ((p5 X) /\ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) /\ (p5 X))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((-. ((p6 Y) /\ (All X, ((-. (r1 Y X)) \/ (p6 X))))) \/ ((p5 Y) \/ ((p6 Y) \/ (-. ((p5 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p5 X))) /\ (p5 Y))))))))))))))) \/ ((-. ((All Y, ((-. (r1 X Y)) \/ ((-. ((p5 Y) /\ (All X, ((-. (r1 Y X)) \/ (p5 X))))) \/ (p4 Y)))) \/ ((All Y, ((-. (r1 X Y)) \/ ((p5 Y) \/ (-. ((p4 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p4 X))) /\ (p4 Y))))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((-. ((p5 X) /\ (All Y, ((-. (r1 X Y)) \/ (p5 Y))))) \/ (p4 X)))) \/ ((p5 Y) \/ (-. ((p4 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p4 X))) /\ (p4 Y)))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((-. ((p5 Y) /\ (All X, ((-. (r1 Y X)) \/ (p5 X))))) \/ ((p4 Y) \/ (All X, ((-. (r1 Y X)) \/ ((p5 X) \/ (-. ((p4 X) /\ ((All Y, ((-. (r1 X Y)) \/ (p4 Y))) /\ (p4 X))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((-. ((p5 Y) /\ (All X, ((-. (r1 Y X)) \/ (p5 X))))) \/ ((p4 Y) \/ ((p5 Y) \/ (-. ((p4 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p4 X))) /\ (p4 Y))))))))))))))) \/ ((-. ((All Y, ((-. (r1 X Y)) \/ ((-. ((p4 Y) /\ (All X, ((-. (r1 Y X)) \/ (p4 X))))) \/ (p3 Y)))) \/ ((All Y, ((-. (r1 X Y)) \/ ((p4 Y) \/ (-. ((p3 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p3 X))) /\ (p3 Y))))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((-. ((p4 X) /\ (All Y, ((-. (r1 X Y)) \/ (p4 Y))))) \/ (p3 X)))) \/ ((p4 Y) \/ (-. ((p3 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p3 X))) /\ (p3 Y)))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((-. ((p4 Y) /\ (All X, ((-. (r1 Y X)) \/ (p4 X))))) \/ ((p3 Y) \/ (All X, ((-. (r1 Y X)) \/ ((p4 X) \/ (-. ((p3 X) /\ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) /\ (p3 X))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((-. ((p4 Y) /\ (All X, ((-. (r1 Y X)) \/ (p4 X))))) \/ ((p3 Y) \/ ((p4 Y) \/ (-. ((p3 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p3 X))) /\ (p3 Y))))))))))))))) \/ ((-. ((All Y, ((-. (r1 X Y)) \/ ((-. ((p3 Y) /\ (All X, ((-. (r1 Y X)) \/ (p3 X))))) \/ (p2 Y)))) \/ ((All Y, ((-. (r1 X Y)) \/ ((p3 Y) \/ (-. ((p2 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p2 X))) /\ (p2 Y))))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((-. ((p3 X) /\ (All Y, ((-. (r1 X Y)) \/ (p3 Y))))) \/ (p2 X)))) \/ ((p3 Y) \/ (-. ((p2 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p2 X))) /\ (p2 Y)))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((-. ((p3 Y) /\ (All X, ((-. (r1 Y X)) \/ (p3 X))))) \/ ((p2 Y) \/ (All X, ((-. (r1 Y X)) \/ ((p3 X) \/ (-. ((p2 X) /\ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) /\ (p2 X))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((-. ((p3 Y) /\ (All X, ((-. (r1 Y X)) \/ (p3 X))))) \/ ((p2 Y) \/ ((p3 Y) \/ (-. ((p2 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p2 X))) /\ (p2 Y))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ ((p5 Y) \/ (-. ((All X, ((-. (r1 Y X)) \/ (p5 X))) /\ (p5 Y)))))) \/ ((All Y, ((-. (r1 X Y)) \/ ((p5 Y) \/ (-. ((All X, ((-. (r1 Y X)) \/ (p5 X))) /\ (p5 Y)))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ ((-. ((p2 Y) /\ (All X, ((-. (r1 Y X)) \/ (p2 X))))) \/ (p1 Y)))) \/ ((All Y, ((-. (r1 X Y)) \/ ((p2 Y) \/ (-. ((p1 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p1 X))) /\ (p1 Y))))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((-. ((p2 X) /\ (All Y, ((-. (r1 X Y)) \/ (p2 Y))))) \/ (p1 X)))) \/ ((p2 Y) \/ (-. ((p1 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p1 X))) /\ (p1 Y)))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((-. ((p2 Y) /\ (All X, ((-. (r1 Y X)) \/ (p2 X))))) \/ ((p1 Y) \/ (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. ((p1 X) /\ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) /\ (p1 X))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((-. ((p2 Y) /\ (All X, ((-. (r1 Y X)) \/ (p2 X))))) \/ ((p1 Y) \/ ((p2 Y) \/ (-. ((p1 Y) /\ ((All X, ((-. (r1 Y X)) \/ (p1 X))) /\ (p1 Y)))))))))))))))))))))))))   ### NotNot 5
% 0.20/0.41  % SZS output end Proof
% 0.20/0.41  (* END-PROOF *)
%------------------------------------------------------------------------------