%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : LCL672+1.020 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n015.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 16:23:45 EDT 2022

% Result   : Theorem 206.76s 206.94s
% Output   : Proof 206.82s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : LCL672+1.020 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13  % Command  : run_zenon %s %d
% 0.14/0.34  % Computer : n015.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
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jul  3 11:37:30 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 206.76/206.94  (* PROOF-FOUND *)
% 206.76/206.94  % SZS status Theorem
% 206.76/206.94  (* BEGIN-PROOF *)
% 206.76/206.94  % SZS output start Proof
% 206.76/206.94  Theorem main : (~(exists X : zenon_U, (~(((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(~(p1 X))))))))/\(p1 X))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p2 X))))/\((~(forall X : zenon_U, ((~(r1 Y X))\/(~(forall Y : zenon_U, ((~(r1 X Y))\/False))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X 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Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))\/(((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(~(forall Y : zenon_U, ((~(r1 X Y))\/(~(p1 Y))))))))/\(p1 Y))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(~(forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))/\((~(forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/False))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))).
% 206.76/206.94  Proof.
% 206.76/206.94  assert (zenon_L1_ : forall (zenon_TX_h : zenon_U) (zenon_TY_i : zenon_U) (zenon_TX_j : zenon_U), (r1 zenon_TX_j zenon_TY_i) -> (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((r1 x y)->((r1 y z)->(r1 x z)))))) -> (~(r1 zenon_TX_j zenon_TX_h)) -> (r1 zenon_TY_i zenon_TX_h) -> False).
% 206.76/206.94  do 3 intro. intros zenon_H3 zenon_H4 zenon_H5 zenon_H6.
% 206.76/206.94  elim (classic ((~(zenon_TX_j = zenon_TY_i))/\(~(r1 zenon_TX_j zenon_TY_i)))); [ zenon_intro zenon_Ha | zenon_intro zenon_Hb ].
% 206.76/206.94  apply (zenon_and_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc.
% 206.76/206.94  exact (zenon_Hc zenon_H3).
% 206.76/206.94  cut ((r1 zenon_TY_i zenon_TX_h) = (r1 zenon_TX_j zenon_TX_h)).
% 206.76/206.94  intro zenon_D_pnotp.
% 206.76/206.94  apply zenon_H5.
% 206.76/206.94  rewrite <- zenon_D_pnotp.
% 206.76/206.94  exact zenon_H6.
% 206.76/206.94  cut ((zenon_TX_h = zenon_TX_h)); [idtac | apply NNPP; zenon_intro zenon_He].
% 206.76/206.94  cut ((zenon_TY_i = zenon_TX_j)); [idtac | apply NNPP; zenon_intro zenon_Hf].
% 206.76/206.94  congruence.
% 206.76/206.94  apply (zenon_notand_s _ _ zenon_Hb); [ zenon_intro zenon_H11 | zenon_intro zenon_H10 ].
% 206.76/206.94  apply zenon_H11. zenon_intro zenon_H12.
% 206.76/206.94  elim (classic (zenon_TX_j = zenon_TX_j)); [ zenon_intro zenon_H13 | zenon_intro zenon_H14 ].
% 206.76/206.94  cut ((zenon_TX_j = zenon_TX_j) = (zenon_TY_i = zenon_TX_j)).
% 206.76/206.94  intro zenon_D_pnotp.
% 206.76/206.94  apply zenon_Hf.
% 206.76/206.94  rewrite <- zenon_D_pnotp.
% 206.76/206.94  exact zenon_H13.
% 206.76/206.94  cut ((zenon_TX_j = zenon_TX_j)); [idtac | apply NNPP; zenon_intro zenon_H14].
% 206.76/206.94  cut ((zenon_TX_j = zenon_TY_i)); [idtac | apply NNPP; zenon_intro zenon_Hd].
% 206.76/206.94  congruence.
% 206.76/206.94  exact (zenon_Hd zenon_H12).
% 206.76/206.94  apply zenon_H14. apply refl_equal.
% 206.76/206.94  apply zenon_H14. apply refl_equal.
% 206.76/206.94  apply zenon_H10. zenon_intro zenon_H3.
% 206.76/206.94  generalize (zenon_H4 zenon_TX_j). zenon_intro zenon_H15.
% 206.76/206.94  generalize (zenon_H15 zenon_TY_i). zenon_intro zenon_H16.
% 206.76/206.94  generalize (zenon_H16 zenon_TX_h). zenon_intro zenon_H17.
% 206.76/206.94  apply (zenon_imply_s _ _ zenon_H17); [ zenon_intro zenon_Hc | zenon_intro zenon_H18 ].
% 206.76/206.94  exact (zenon_Hc zenon_H3).
% 206.76/206.94  apply (zenon_imply_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ].
% 206.76/206.94  exact (zenon_H1a zenon_H6).
% 206.76/206.94  exact (zenon_H5 zenon_H19).
% 206.76/206.94  apply zenon_He. apply refl_equal.
% 206.76/206.94  (* end of lemma zenon_L1_ *)
% 206.76/206.94  assert (zenon_L2_ : forall (zenon_TY_bd : zenon_U) (zenon_TX_h : zenon_U) (zenon_TY_i : zenon_U) (zenon_TX_j : zenon_U), (r1 zenon_TX_j zenon_TY_i) -> (r1 zenon_TY_i zenon_TX_h) -> (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((r1 x y)->((r1 y z)->(r1 x z)))))) -> (~(r1 zenon_TX_j zenon_TY_bd)) -> (r1 zenon_TX_h zenon_TY_bd) -> False).
% 206.76/206.94  do 4 intro. intros zenon_H3 zenon_H6 zenon_H4 zenon_H1b zenon_H1c.
% 206.76/206.94  elim (classic ((~(zenon_TX_j = zenon_TX_h))/\(~(r1 zenon_TX_j zenon_TX_h)))); [ zenon_intro zenon_H1e | zenon_intro zenon_H1f ].
% 206.76/206.94  apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_H20. zenon_intro zenon_H5.
% 206.76/206.94  apply (zenon_L1_ zenon_TX_h zenon_TY_i zenon_TX_j); trivial.
% 206.76/206.94  cut ((r1 zenon_TX_h zenon_TY_bd) = (r1 zenon_TX_j zenon_TY_bd)).
% 206.76/206.94  intro zenon_D_pnotp.
% 206.76/206.94  apply zenon_H1b.
% 206.76/206.94  rewrite <- zenon_D_pnotp.
% 206.76/206.94  exact zenon_H1c.
% 206.76/206.94  cut ((zenon_TY_bd = zenon_TY_bd)); [idtac | apply NNPP; zenon_intro zenon_H21].
% 206.76/206.94  cut ((zenon_TX_h = zenon_TX_j)); [idtac | apply NNPP; zenon_intro zenon_H22].
% 206.76/206.94  congruence.
% 206.76/206.94  apply (zenon_notand_s _ _ zenon_H1f); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ].
% 206.76/206.94  apply zenon_H24. zenon_intro zenon_H25.
% 206.76/206.94  elim (classic (zenon_TX_j = zenon_TX_j)); [ zenon_intro zenon_H13 | zenon_intro zenon_H14 ].
% 206.76/206.94  cut ((zenon_TX_j = zenon_TX_j) = (zenon_TX_h = zenon_TX_j)).
% 206.76/206.94  intro zenon_D_pnotp.
% 206.76/206.94  apply zenon_H22.
% 206.76/206.94  rewrite <- zenon_D_pnotp.
% 206.76/206.94  exact zenon_H13.
% 206.76/206.94  cut ((zenon_TX_j = zenon_TX_j)); [idtac | apply NNPP; zenon_intro zenon_H14].
% 206.76/206.94  cut ((zenon_TX_j = zenon_TX_h)); [idtac | apply NNPP; zenon_intro zenon_H20].
% 206.76/206.94  congruence.
% 206.76/206.94  exact (zenon_H20 zenon_H25).
% 206.76/206.94  apply zenon_H14. apply refl_equal.
% 206.76/206.94  apply zenon_H14. apply refl_equal.
% 206.76/206.94  apply zenon_H23. zenon_intro zenon_H19.
% 206.76/206.94  generalize (zenon_H4 zenon_TX_j). zenon_intro zenon_H15.
% 206.76/206.94  generalize (zenon_H15 zenon_TX_h). zenon_intro zenon_H26.
% 206.76/206.94  generalize (zenon_H26 zenon_TY_bd). zenon_intro zenon_H27.
% 206.76/206.94  apply (zenon_imply_s _ _ zenon_H27); [ zenon_intro zenon_H5 | zenon_intro zenon_H28 ].
% 206.76/206.94  exact (zenon_H5 zenon_H19).
% 206.76/206.94  apply (zenon_imply_s _ _ zenon_H28); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ].
% 206.76/206.94  exact (zenon_H2a zenon_H1c).
% 206.76/206.94  exact (zenon_H1b zenon_H29).
% 206.76/206.94  apply zenon_H21. apply refl_equal.
% 206.76/206.94  (* end of lemma zenon_L2_ *)
% 206.76/206.94  assert (zenon_L3_ : forall (zenon_TX_bt : zenon_U) (zenon_TY_bd : zenon_U) (zenon_TX_j : zenon_U) (zenon_TX_h : zenon_U) (zenon_TY_i : zenon_U), (r1 zenon_TY_i zenon_TX_h) -> (r1 zenon_TX_j zenon_TY_i) -> (r1 zenon_TX_h zenon_TY_bd) -> (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((r1 x y)->((r1 y z)->(r1 x z)))))) -> (~(r1 zenon_TX_j zenon_TX_bt)) -> (r1 zenon_TY_bd zenon_TX_bt) -> False).
% 206.76/206.94  do 5 intro. intros zenon_H6 zenon_H3 zenon_H1c zenon_H4 zenon_H2b zenon_H2c.
% 206.76/206.94  elim (classic ((~(zenon_TX_j = zenon_TY_bd))/\(~(r1 zenon_TX_j zenon_TY_bd)))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 206.76/206.94  apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H1b.
% 206.76/206.94  apply (zenon_L2_ zenon_TY_bd zenon_TX_h zenon_TY_i zenon_TX_j); trivial.
% 206.76/206.94  cut ((r1 zenon_TY_bd zenon_TX_bt) = (r1 zenon_TX_j zenon_TX_bt)).
% 206.76/206.94  intro zenon_D_pnotp.
% 206.76/206.94  apply zenon_H2b.
% 206.76/206.94  rewrite <- zenon_D_pnotp.
% 206.76/206.94  exact zenon_H2c.
% 206.76/206.94  cut ((zenon_TX_bt = zenon_TX_bt)); [idtac | apply NNPP; zenon_intro zenon_H31].
% 206.76/206.94  cut ((zenon_TY_bd = zenon_TX_j)); [idtac | apply NNPP; zenon_intro zenon_H32].
% 206.76/206.94  congruence.
% 206.76/206.94  apply (zenon_notand_s _ _ zenon_H2f); [ zenon_intro zenon_H34 | zenon_intro zenon_H33 ].
% 206.76/206.94  apply zenon_H34. zenon_intro zenon_H35.
% 206.76/206.94  elim (classic (zenon_TX_j = zenon_TX_j)); [ zenon_intro zenon_H13 | zenon_intro zenon_H14 ].
% 206.76/206.94  cut ((zenon_TX_j = zenon_TX_j) = (zenon_TY_bd = zenon_TX_j)).
% 206.76/206.94  intro zenon_D_pnotp.
% 206.76/206.94  apply zenon_H32.
% 206.76/206.94  rewrite <- zenon_D_pnotp.
% 206.76/206.94  exact zenon_H13.
% 206.76/206.94  cut ((zenon_TX_j = zenon_TX_j)); [idtac | apply NNPP; zenon_intro zenon_H14].
% 206.76/206.94  cut ((zenon_TX_j = zenon_TY_bd)); [idtac | apply NNPP; zenon_intro zenon_H30].
% 206.76/206.94  congruence.
% 206.76/206.94  exact (zenon_H30 zenon_H35).
% 206.76/206.94  apply zenon_H14. apply refl_equal.
% 206.76/206.94  apply zenon_H14. apply refl_equal.
% 206.76/206.94  apply zenon_H33. zenon_intro zenon_H29.
% 206.76/206.94  generalize (zenon_H4 zenon_TX_j). zenon_intro zenon_H15.
% 206.76/206.94  generalize (zenon_H15 zenon_TY_bd). zenon_intro zenon_H36.
% 206.76/206.94  generalize (zenon_H36 zenon_TX_bt). zenon_intro zenon_H37.
% 206.76/206.94  apply (zenon_imply_s _ _ zenon_H37); [ zenon_intro zenon_H1b | zenon_intro zenon_H38 ].
% 206.76/206.94  exact (zenon_H1b zenon_H29).
% 206.76/206.94  apply (zenon_imply_s _ _ zenon_H38); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ].
% 206.76/206.94  exact (zenon_H3a zenon_H2c).
% 206.76/206.94  exact (zenon_H2b zenon_H39).
% 206.76/206.94  apply zenon_H31. apply refl_equal.
% 206.76/206.94  (* end of lemma zenon_L3_ *)
% 206.76/206.94  assert (zenon_L4_ : forall (zenon_TY_cj : zenon_U) (zenon_TX_bt : zenon_U) (zenon_TY_i : zenon_U) (zenon_TX_j : zenon_U) (zenon_TY_bd : zenon_U) (zenon_TX_h : zenon_U), (r1 zenon_TX_h zenon_TY_bd) -> (r1 zenon_TX_j zenon_TY_i) -> (r1 zenon_TY_i zenon_TX_h) -> (r1 zenon_TY_bd zenon_TX_bt) -> (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((r1 x y)->((r1 y z)->(r1 x z)))))) -> (~(r1 zenon_TX_j zenon_TY_cj)) -> (r1 zenon_TX_bt zenon_TY_cj) -> False).
% 206.76/206.94  do 6 intro. intros zenon_H1c zenon_H3 zenon_H6 zenon_H2c zenon_H4 zenon_H3b zenon_H3c.
% 206.76/206.94  elim (classic ((~(zenon_TX_j = zenon_TX_bt))/\(~(r1 zenon_TX_j zenon_TX_bt)))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ].
% 206.76/206.94  apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H40. zenon_intro zenon_H2b.
% 206.76/206.94  apply (zenon_L3_ zenon_TX_bt zenon_TY_bd zenon_TX_j zenon_TX_h zenon_TY_i); trivial.
% 206.76/206.94  cut ((r1 zenon_TX_bt zenon_TY_cj) = (r1 zenon_TX_j zenon_TY_cj)).
% 206.76/206.94  intro zenon_D_pnotp.
% 206.76/206.94  apply zenon_H3b.
% 206.76/206.94  rewrite <- zenon_D_pnotp.
% 206.76/206.94  exact zenon_H3c.
% 206.76/206.94  cut ((zenon_TY_cj = zenon_TY_cj)); [idtac | apply NNPP; zenon_intro zenon_H41].
% 206.76/206.94  cut ((zenon_TX_bt = zenon_TX_j)); [idtac | apply NNPP; zenon_intro zenon_H42].
% 206.76/206.94  congruence.
% 206.76/206.94  apply (zenon_notand_s _ _ zenon_H3f); [ zenon_intro zenon_H44 | zenon_intro zenon_H43 ].
% 206.76/206.94  apply zenon_H44. zenon_intro zenon_H45.
% 206.76/206.94  elim (classic (zenon_TX_j = zenon_TX_j)); [ zenon_intro zenon_H13 | zenon_intro zenon_H14 ].
% 206.76/206.94  cut ((zenon_TX_j = zenon_TX_j) = (zenon_TX_bt = zenon_TX_j)).
% 206.76/206.94  intro zenon_D_pnotp.
% 206.76/206.94  apply zenon_H42.
% 206.76/206.94  rewrite <- zenon_D_pnotp.
% 206.76/206.94  exact zenon_H13.
% 206.76/206.94  cut ((zenon_TX_j = zenon_TX_j)); [idtac | apply NNPP; zenon_intro zenon_H14].
% 206.76/206.94  cut ((zenon_TX_j = zenon_TX_bt)); [idtac | apply NNPP; zenon_intro zenon_H40].
% 206.76/206.94  congruence.
% 206.76/206.94  exact (zenon_H40 zenon_H45).
% 206.76/206.94  apply zenon_H14. apply refl_equal.
% 206.76/206.94  apply zenon_H14. apply refl_equal.
% 206.76/206.94  apply zenon_H43. zenon_intro zenon_H39.
% 206.76/206.94  generalize (zenon_H4 zenon_TX_j). zenon_intro zenon_H15.
% 206.76/206.94  generalize (zenon_H15 zenon_TX_bt). zenon_intro zenon_H46.
% 206.76/206.94  generalize (zenon_H46 zenon_TY_cj). zenon_intro zenon_H47.
% 206.76/206.94  apply (zenon_imply_s _ _ zenon_H47); [ zenon_intro zenon_H2b | zenon_intro zenon_H48 ].
% 206.76/206.94  exact (zenon_H2b zenon_H39).
% 206.76/206.94  apply (zenon_imply_s _ _ zenon_H48); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ].
% 206.76/206.94  exact (zenon_H4a zenon_H3c).
% 206.76/206.94  exact (zenon_H3b zenon_H49).
% 206.76/206.94  apply zenon_H41. apply refl_equal.
% 206.76/206.94  (* end of lemma zenon_L4_ *)
% 206.76/206.94  assert (zenon_L5_ : forall (zenon_TX_cz : zenon_U) (zenon_TY_cj : zenon_U) (zenon_TX_j : zenon_U) (zenon_TX_h : zenon_U) (zenon_TY_i : zenon_U) (zenon_TX_bt : zenon_U) (zenon_TY_bd : zenon_U), (r1 zenon_TY_bd zenon_TX_bt) -> (r1 zenon_TY_i zenon_TX_h) -> (r1 zenon_TX_j zenon_TY_i) -> (r1 zenon_TX_h zenon_TY_bd) -> (r1 zenon_TX_bt zenon_TY_cj) -> (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((r1 x y)->((r1 y z)->(r1 x z)))))) -> (~(r1 zenon_TX_j zenon_TX_cz)) -> (r1 zenon_TY_cj zenon_TX_cz) -> False).
% 206.76/206.94  do 7 intro. intros zenon_H2c zenon_H6 zenon_H3 zenon_H1c zenon_H3c zenon_H4 zenon_H4b zenon_H4c.
% 206.76/206.94  elim (classic ((~(zenon_TX_j = zenon_TY_cj))/\(~(r1 zenon_TX_j zenon_TY_cj)))); [ zenon_intro zenon_H4e | zenon_intro zenon_H4f ].
% 206.76/206.94  apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H50. zenon_intro zenon_H3b.
% 206.76/206.94  apply (zenon_L4_ zenon_TY_cj zenon_TX_bt zenon_TY_i zenon_TX_j zenon_TY_bd zenon_TX_h); trivial.
% 206.76/206.94  cut ((r1 zenon_TY_cj zenon_TX_cz) = (r1 zenon_TX_j zenon_TX_cz)).
% 206.76/206.94  intro zenon_D_pnotp.
% 206.76/206.94  apply zenon_H4b.
% 206.76/206.94  rewrite <- zenon_D_pnotp.
% 206.76/206.94  exact zenon_H4c.
% 206.76/206.94  cut ((zenon_TX_cz = zenon_TX_cz)); [idtac | apply NNPP; zenon_intro zenon_H51].
% 206.76/206.94  cut ((zenon_TY_cj = zenon_TX_j)); [idtac | apply NNPP; zenon_intro zenon_H52].
% 206.76/206.94  congruence.
% 206.76/206.94  apply (zenon_notand_s _ _ zenon_H4f); [ zenon_intro zenon_H54 | zenon_intro zenon_H53 ].
% 206.76/206.94  apply zenon_H54. zenon_intro zenon_H55.
% 206.76/206.94  elim (classic (zenon_TX_j = zenon_TX_j)); [ zenon_intro zenon_H13 | zenon_intro zenon_H14 ].
% 206.76/206.94  cut ((zenon_TX_j = zenon_TX_j) = (zenon_TY_cj = zenon_TX_j)).
% 206.76/206.94  intro zenon_D_pnotp.
% 206.76/206.94  apply zenon_H52.
% 206.76/206.94  rewrite <- zenon_D_pnotp.
% 206.76/206.94  exact zenon_H13.
% 206.76/206.94  cut ((zenon_TX_j = zenon_TX_j)); [idtac | apply NNPP; zenon_intro zenon_H14].
% 206.76/206.94  cut ((zenon_TX_j = zenon_TY_cj)); [idtac | apply NNPP; zenon_intro zenon_H50].
% 206.76/206.94  congruence.
% 206.76/206.94  exact (zenon_H50 zenon_H55).
% 206.76/206.94  apply zenon_H14. apply refl_equal.
% 206.76/206.94  apply zenon_H14. apply refl_equal.
% 206.76/206.94  apply zenon_H53. zenon_intro zenon_H49.
% 206.76/206.94  generalize (zenon_H4 zenon_TX_j). zenon_intro zenon_H15.
% 206.76/206.94  generalize (zenon_H15 zenon_TY_cj). zenon_intro zenon_H56.
% 206.76/206.94  generalize (zenon_H56 zenon_TX_cz). zenon_intro zenon_H57.
% 206.76/206.94  apply (zenon_imply_s _ _ zenon_H57); [ zenon_intro zenon_H3b | zenon_intro zenon_H58 ].
% 206.76/206.94  exact (zenon_H3b zenon_H49).
% 206.76/206.94  apply (zenon_imply_s _ _ zenon_H58); [ zenon_intro zenon_H5a | zenon_intro zenon_H59 ].
% 206.76/206.94  exact (zenon_H5a zenon_H4c).
% 206.76/206.94  exact (zenon_H4b zenon_H59).
% 206.76/206.94  apply zenon_H51. apply refl_equal.
% 206.76/206.94  (* end of lemma zenon_L5_ *)
% 206.76/206.94  assert (zenon_L6_ : forall (zenon_TY_dp : zenon_U) (zenon_TX_cz : zenon_U) (zenon_TY_i : zenon_U) (zenon_TX_j : zenon_U) (zenon_TY_bd : zenon_U) (zenon_TX_h : zenon_U) (zenon_TY_cj : zenon_U) (zenon_TX_bt : zenon_U), (r1 zenon_TX_bt zenon_TY_cj) -> (r1 zenon_TX_h zenon_TY_bd) -> (r1 zenon_TX_j zenon_TY_i) -> (r1 zenon_TY_i zenon_TX_h) -> (r1 zenon_TY_bd zenon_TX_bt) -> (r1 zenon_TY_cj zenon_TX_cz) -> (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((r1 x y)->((r1 y z)->(r1 x z)))))) -> (~(r1 zenon_TX_j zenon_TY_dp)) -> (r1 zenon_TX_cz zenon_TY_dp) -> False).
% 206.76/206.95  do 8 intro. intros zenon_H3c zenon_H1c zenon_H3 zenon_H6 zenon_H2c zenon_H4c zenon_H4 zenon_H5b zenon_H5c.
% 206.76/206.95  elim (classic ((~(zenon_TX_j = zenon_TX_cz))/\(~(r1 zenon_TX_j zenon_TX_cz)))); [ zenon_intro zenon_H5e | zenon_intro zenon_H5f ].
% 206.76/206.95  apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H60. zenon_intro zenon_H4b.
% 206.76/206.95  apply (zenon_L5_ zenon_TX_cz zenon_TY_cj zenon_TX_j zenon_TX_h zenon_TY_i zenon_TX_bt zenon_TY_bd); trivial.
% 206.76/206.95  cut ((r1 zenon_TX_cz zenon_TY_dp) = (r1 zenon_TX_j zenon_TY_dp)).
% 206.76/206.95  intro zenon_D_pnotp.
% 206.76/206.95  apply zenon_H5b.
% 206.76/206.95  rewrite <- zenon_D_pnotp.
% 206.76/206.95  exact zenon_H5c.
% 206.76/206.95  cut ((zenon_TY_dp = zenon_TY_dp)); [idtac | apply NNPP; zenon_intro zenon_H61].
% 206.76/206.95  cut ((zenon_TX_cz = zenon_TX_j)); [idtac | apply NNPP; zenon_intro zenon_H62].
% 206.76/206.95  congruence.
% 206.76/206.95  apply (zenon_notand_s _ _ zenon_H5f); [ zenon_intro zenon_H64 | zenon_intro zenon_H63 ].
% 206.76/206.95  apply zenon_H64. zenon_intro zenon_H65.
% 206.76/206.95  elim (classic (zenon_TX_j = zenon_TX_j)); [ zenon_intro zenon_H13 | zenon_intro zenon_H14 ].
% 206.76/206.95  cut ((zenon_TX_j = zenon_TX_j) = (zenon_TX_cz = zenon_TX_j)).
% 206.76/206.95  intro zenon_D_pnotp.
% 206.76/206.95  apply zenon_H62.
% 206.76/206.95  rewrite <- zenon_D_pnotp.
% 206.76/206.95  exact zenon_H13.
% 206.76/206.95  cut ((zenon_TX_j = zenon_TX_j)); [idtac | apply NNPP; zenon_intro zenon_H14].
% 206.76/206.95  cut ((zenon_TX_j = zenon_TX_cz)); [idtac | apply NNPP; zenon_intro zenon_H60].
% 206.76/206.95  congruence.
% 206.76/206.95  exact (zenon_H60 zenon_H65).
% 206.76/206.95  apply zenon_H14. apply refl_equal.
% 206.76/206.95  apply zenon_H14. apply refl_equal.
% 206.76/206.95  apply zenon_H63. zenon_intro zenon_H59.
% 206.76/206.95  generalize (zenon_H4 zenon_TX_j). zenon_intro zenon_H15.
% 206.76/206.95  generalize (zenon_H15 zenon_TX_cz). zenon_intro zenon_H66.
% 206.76/206.95  generalize (zenon_H66 zenon_TY_dp). zenon_intro zenon_H67.
% 206.76/206.95  apply (zenon_imply_s _ _ zenon_H67); [ zenon_intro zenon_H4b | zenon_intro zenon_H68 ].
% 206.76/206.95  exact (zenon_H4b zenon_H59).
% 206.76/206.95  apply (zenon_imply_s _ _ zenon_H68); [ zenon_intro zenon_H6a | zenon_intro zenon_H69 ].
% 206.76/206.95  exact (zenon_H6a zenon_H5c).
% 206.76/206.95  exact (zenon_H5b zenon_H69).
% 206.76/206.95  apply zenon_H61. apply refl_equal.
% 206.76/206.95  (* end of lemma zenon_L6_ *)
% 206.76/206.95  assert (zenon_L7_ : forall (zenon_TX_ef : zenon_U) (zenon_TY_dp : zenon_U) (zenon_TX_j : zenon_U) (zenon_TX_h : zenon_U) (zenon_TY_i : zenon_U) (zenon_TX_bt : zenon_U) (zenon_TY_bd : zenon_U) (zenon_TX_cz : zenon_U) (zenon_TY_cj : zenon_U), (r1 zenon_TY_cj zenon_TX_cz) -> (r1 zenon_TY_bd zenon_TX_bt) -> (r1 zenon_TY_i zenon_TX_h) -> (r1 zenon_TX_j zenon_TY_i) -> (r1 zenon_TX_h zenon_TY_bd) -> (r1 zenon_TX_bt zenon_TY_cj) -> (r1 zenon_TX_cz zenon_TY_dp) -> (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((r1 x y)->((r1 y z)->(r1 x z)))))) -> (~(r1 zenon_TX_j zenon_TX_ef)) -> (r1 zenon_TY_dp zenon_TX_ef) -> False).
% 206.76/206.95  do 9 intro. intros zenon_H4c zenon_H2c zenon_H6 zenon_H3 zenon_H1c zenon_H3c zenon_H5c zenon_H4 zenon_H6b zenon_H6c.
% 206.76/206.95  elim (classic ((~(zenon_TX_j = zenon_TY_dp))/\(~(r1 zenon_TX_j zenon_TY_dp)))); [ zenon_intro zenon_H6e | zenon_intro zenon_H6f ].
% 206.76/206.95  apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H70. zenon_intro zenon_H5b.
% 206.76/206.95  apply (zenon_L6_ zenon_TY_dp zenon_TX_cz zenon_TY_i zenon_TX_j zenon_TY_bd zenon_TX_h zenon_TY_cj zenon_TX_bt); trivial.
% 206.76/206.95  cut ((r1 zenon_TY_dp zenon_TX_ef) = (r1 zenon_TX_j zenon_TX_ef)).
% 206.76/206.95  intro zenon_D_pnotp.
% 206.76/206.95  apply zenon_H6b.
% 206.76/206.95  rewrite <- zenon_D_pnotp.
% 206.76/206.95  exact zenon_H6c.
% 206.76/206.95  cut ((zenon_TX_ef = zenon_TX_ef)); [idtac | apply NNPP; zenon_intro zenon_H71].
% 206.76/206.95  cut ((zenon_TY_dp = zenon_TX_j)); [idtac | apply NNPP; zenon_intro zenon_H72].
% 206.76/206.95  congruence.
% 206.76/206.95  apply (zenon_notand_s _ _ zenon_H6f); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ].
% 206.76/206.95  apply zenon_H74. zenon_intro zenon_H75.
% 206.76/206.95  elim (classic (zenon_TX_j = zenon_TX_j)); [ zenon_intro zenon_H13 | zenon_intro zenon_H14 ].
% 206.76/206.95  cut ((zenon_TX_j = zenon_TX_j) = (zenon_TY_dp = zenon_TX_j)).
% 206.76/206.95  intro zenon_D_pnotp.
% 206.76/206.95  apply zenon_H72.
% 206.76/206.95  rewrite <- zenon_D_pnotp.
% 206.76/206.95  exact zenon_H13.
% 206.76/206.95  cut ((zenon_TX_j = zenon_TX_j)); [idtac | apply NNPP; zenon_intro zenon_H14].
% 206.76/206.95  cut ((zenon_TX_j = zenon_TY_dp)); [idtac | apply NNPP; zenon_intro zenon_H70].
% 206.76/206.95  congruence.
% 206.76/206.95  exact (zenon_H70 zenon_H75).
% 206.76/206.95  apply zenon_H14. apply refl_equal.
% 206.76/206.95  apply zenon_H14. apply refl_equal.
% 206.76/206.95  apply zenon_H73. zenon_intro zenon_H69.
% 206.76/206.95  generalize (zenon_H4 zenon_TX_j). zenon_intro zenon_H15.
% 206.76/206.95  generalize (zenon_H15 zenon_TY_dp). zenon_intro zenon_H76.
% 206.76/206.95  generalize (zenon_H76 zenon_TX_ef). zenon_intro zenon_H77.
% 206.76/206.95  apply (zenon_imply_s _ _ zenon_H77); [ zenon_intro zenon_H5b | zenon_intro zenon_H78 ].
% 206.76/206.95  exact (zenon_H5b zenon_H69).
% 206.76/206.95  apply (zenon_imply_s _ _ zenon_H78); [ zenon_intro zenon_H7a | zenon_intro zenon_H79 ].
% 206.76/206.95  exact (zenon_H7a zenon_H6c).
% 206.76/206.95  exact (zenon_H6b zenon_H79).
% 206.76/206.95  apply zenon_H71. apply refl_equal.
% 206.76/206.95  (* end of lemma zenon_L7_ *)
% 206.76/206.95  assert (zenon_L8_ : forall (zenon_TY_ev : zenon_U) (zenon_TX_ef : zenon_U) (zenon_TY_i : zenon_U) (zenon_TX_j : zenon_U) (zenon_TY_bd : zenon_U) (zenon_TX_h : zenon_U) (zenon_TY_cj : zenon_U) (zenon_TX_bt : zenon_U) (zenon_TY_dp : zenon_U) (zenon_TX_cz : zenon_U), (r1 zenon_TX_cz zenon_TY_dp) -> (r1 zenon_TX_bt zenon_TY_cj) -> (r1 zenon_TX_h zenon_TY_bd) -> (r1 zenon_TX_j zenon_TY_i) -> (r1 zenon_TY_i zenon_TX_h) -> (r1 zenon_TY_bd zenon_TX_bt) -> (r1 zenon_TY_cj zenon_TX_cz) -> (r1 zenon_TY_dp zenon_TX_ef) -> (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((r1 x y)->((r1 y z)->(r1 x z)))))) -> (~(r1 zenon_TX_j zenon_TY_ev)) -> (r1 zenon_TX_ef zenon_TY_ev) -> False).
% 206.76/206.95  do 10 intro. intros zenon_H5c zenon_H3c zenon_H1c zenon_H3 zenon_H6 zenon_H2c zenon_H4c zenon_H6c zenon_H4 zenon_H7b zenon_H7c.
% 206.76/206.95  elim (classic ((~(zenon_TX_j = zenon_TX_ef))/\(~(r1 zenon_TX_j zenon_TX_ef)))); [ zenon_intro zenon_H7e | zenon_intro zenon_H7f ].
% 206.76/206.95  apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H80. zenon_intro zenon_H6b.
% 206.76/206.95  apply (zenon_L7_ zenon_TX_ef zenon_TY_dp zenon_TX_j zenon_TX_h zenon_TY_i zenon_TX_bt zenon_TY_bd zenon_TX_cz zenon_TY_cj); trivial.
% 206.76/206.95  cut ((r1 zenon_TX_ef zenon_TY_ev) = (r1 zenon_TX_j zenon_TY_ev)).
% 206.76/206.95  intro zenon_D_pnotp.
% 206.76/206.95  apply zenon_H7b.
% 206.76/206.95  rewrite <- zenon_D_pnotp.
% 206.76/206.95  exact zenon_H7c.
% 206.76/206.95  cut ((zenon_TY_ev = zenon_TY_ev)); [idtac | apply NNPP; zenon_intro zenon_H81].
% 206.76/206.95  cut ((zenon_TX_ef = zenon_TX_j)); [idtac | apply NNPP; zenon_intro zenon_H82].
% 206.76/206.95  congruence.
% 206.76/206.95  apply (zenon_notand_s _ _ zenon_H7f); [ zenon_intro zenon_H84 | zenon_intro zenon_H83 ].
% 206.76/206.95  apply zenon_H84. zenon_intro zenon_H85.
% 206.76/206.95  elim (classic (zenon_TX_j = zenon_TX_j)); [ zenon_intro zenon_H13 | zenon_intro zenon_H14 ].
% 206.76/206.95  cut ((zenon_TX_j = zenon_TX_j) = (zenon_TX_ef = zenon_TX_j)).
% 206.76/206.95  intro zenon_D_pnotp.
% 206.76/206.95  apply zenon_H82.
% 206.76/206.95  rewrite <- zenon_D_pnotp.
% 206.76/206.95  exact zenon_H13.
% 206.76/206.95  cut ((zenon_TX_j = zenon_TX_j)); [idtac | apply NNPP; zenon_intro zenon_H14].
% 206.76/206.95  cut ((zenon_TX_j = zenon_TX_ef)); [idtac | apply NNPP; zenon_intro zenon_H80].
% 206.76/206.95  congruence.
% 206.76/206.95  exact (zenon_H80 zenon_H85).
% 206.76/206.95  apply zenon_H14. apply refl_equal.
% 206.76/206.95  apply zenon_H14. apply refl_equal.
% 206.76/206.95  apply zenon_H83. zenon_intro zenon_H79.
% 206.76/206.95  generalize (zenon_H4 zenon_TX_j). zenon_intro zenon_H15.
% 206.76/206.95  generalize (zenon_H15 zenon_TX_ef). zenon_intro zenon_H86.
% 206.76/206.95  generalize (zenon_H86 zenon_TY_ev). zenon_intro zenon_H87.
% 206.76/206.95  apply (zenon_imply_s _ _ zenon_H87); [ zenon_intro zenon_H6b | zenon_intro zenon_H88 ].
% 206.76/206.95  exact (zenon_H6b zenon_H79).
% 206.76/206.95  apply (zenon_imply_s _ _ zenon_H88); [ zenon_intro zenon_H8a | zenon_intro zenon_H89 ].
% 206.76/206.95  exact (zenon_H8a zenon_H7c).
% 206.76/206.95  exact (zenon_H7b zenon_H89).
% 206.76/206.95  apply zenon_H81. apply refl_equal.
% 206.76/206.95  (* end of lemma zenon_L8_ *)
% 206.76/206.95  assert (zenon_L9_ : forall (zenon_TX_fl : zenon_U) (zenon_TY_ev : zenon_U) (zenon_TX_j : zenon_U) (zenon_TX_h : zenon_U) (zenon_TY_i : zenon_U) (zenon_TX_bt : zenon_U) (zenon_TY_bd : zenon_U) (zenon_TX_cz : zenon_U) (zenon_TY_cj : zenon_U) (zenon_TX_ef : zenon_U) (zenon_TY_dp : zenon_U), (r1 zenon_TY_dp zenon_TX_ef) -> (r1 zenon_TY_cj zenon_TX_cz) -> (r1 zenon_TY_bd zenon_TX_bt) -> (r1 zenon_TY_i zenon_TX_h) -> (r1 zenon_TX_j zenon_TY_i) -> (r1 zenon_TX_h zenon_TY_bd) -> (r1 zenon_TX_bt zenon_TY_cj) -> (r1 zenon_TX_cz zenon_TY_dp) -> (r1 zenon_TX_ef zenon_TY_ev) -> (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((r1 x y)->((r1 y z)->(r1 x z)))))) -> (~(r1 zenon_TX_j zenon_TX_fl)) -> (r1 zenon_TY_ev zenon_TX_fl) -> False).
% 206.76/206.95  do 11 intro. intros zenon_H6c zenon_H4c zenon_H2c zenon_H6 zenon_H3 zenon_H1c zenon_H3c zenon_H5c zenon_H7c zenon_H4 zenon_H8b zenon_H8c.
% 206.76/206.95  elim (classic ((~(zenon_TX_j = zenon_TY_ev))/\(~(r1 zenon_TX_j zenon_TY_ev)))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ].
% 206.76/206.95  apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H90. zenon_intro zenon_H7b.
% 206.76/206.95  apply (zenon_L8_ zenon_TY_ev zenon_TX_ef zenon_TY_i zenon_TX_j zenon_TY_bd zenon_TX_h zenon_TY_cj zenon_TX_bt zenon_TY_dp zenon_TX_cz); trivial.
% 206.76/206.95  cut ((r1 zenon_TY_ev zenon_TX_fl) = (r1 zenon_TX_j zenon_TX_fl)).
% 206.76/206.95  intro zenon_D_pnotp.
% 206.76/206.95  apply zenon_H8b.
% 206.76/206.95  rewrite <- zenon_D_pnotp.
% 206.76/206.95  exact zenon_H8c.
% 206.76/206.95  cut ((zenon_TX_fl = zenon_TX_fl)); [idtac | apply NNPP; zenon_intro zenon_H91].
% 206.76/206.95  cut ((zenon_TY_ev = zenon_TX_j)); [idtac | apply NNPP; zenon_intro zenon_H92].
% 206.76/206.95  congruence.
% 206.76/206.95  apply (zenon_notand_s _ _ zenon_H8f); [ zenon_intro zenon_H94 | zenon_intro zenon_H93 ].
% 206.76/206.95  apply zenon_H94. zenon_intro zenon_H95.
% 206.76/206.95  elim (classic (zenon_TX_j = zenon_TX_j)); [ zenon_intro zenon_H13 | zenon_intro zenon_H14 ].
% 206.76/206.95  cut ((zenon_TX_j = zenon_TX_j) = (zenon_TY_ev = zenon_TX_j)).
% 206.76/206.95  intro zenon_D_pnotp.
% 206.76/206.95  apply zenon_H92.
% 206.76/206.95  rewrite <- zenon_D_pnotp.
% 206.76/206.95  exact zenon_H13.
% 206.76/206.95  cut ((zenon_TX_j = zenon_TX_j)); [idtac | apply NNPP; zenon_intro zenon_H14].
% 206.76/206.95  cut ((zenon_TX_j = zenon_TY_ev)); [idtac | apply NNPP; zenon_intro zenon_H90].
% 206.76/206.95  congruence.
% 206.76/206.95  exact (zenon_H90 zenon_H95).
% 206.76/206.95  apply zenon_H14. apply refl_equal.
% 206.76/206.95  apply zenon_H14. apply refl_equal.
% 206.76/206.95  apply zenon_H93. zenon_intro zenon_H89.
% 206.76/206.95  generalize (zenon_H4 zenon_TX_j). zenon_intro zenon_H15.
% 206.76/206.95  generalize (zenon_H15 zenon_TY_ev). zenon_intro zenon_H96.
% 206.76/206.95  generalize (zenon_H96 zenon_TX_fl). zenon_intro zenon_H97.
% 206.76/206.95  apply (zenon_imply_s _ _ zenon_H97); [ zenon_intro zenon_H7b | zenon_intro zenon_H98 ].
% 206.76/206.95  exact (zenon_H7b zenon_H89).
% 206.76/206.95  apply (zenon_imply_s _ _ zenon_H98); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ].
% 206.76/206.95  exact (zenon_H9a zenon_H8c).
% 206.76/206.95  exact (zenon_H8b zenon_H99).
% 206.76/206.95  apply zenon_H91. apply refl_equal.
% 206.76/206.95  (* end of lemma zenon_L9_ *)
% 206.76/206.95  assert (zenon_L10_ : forall (zenon_TY_gb : zenon_U) (zenon_TX_fl : zenon_U) (zenon_TY_i : zenon_U) (zenon_TX_j : zenon_U) (zenon_TY_bd : zenon_U) (zenon_TX_h : zenon_U) (zenon_TY_cj : zenon_U) (zenon_TX_bt : zenon_U) (zenon_TY_dp : zenon_U) (zenon_TX_cz : zenon_U) (zenon_TY_ev : zenon_U) (zenon_TX_ef : zenon_U), (r1 zenon_TX_ef zenon_TY_ev) -> (r1 zenon_TX_cz zenon_TY_dp) -> (r1 zenon_TX_bt zenon_TY_cj) -> (r1 zenon_TX_h zenon_TY_bd) -> (r1 zenon_TX_j zenon_TY_i) -> (r1 zenon_TY_i zenon_TX_h) -> (r1 zenon_TY_bd zenon_TX_bt) -> (r1 zenon_TY_cj zenon_TX_cz) -> (r1 zenon_TY_dp zenon_TX_ef) -> (r1 zenon_TY_ev zenon_TX_fl) -> (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((r1 x y)->((r1 y z)->(r1 x z)))))) -> (~(r1 zenon_TX_j zenon_TY_gb)) -> (r1 zenon_TX_fl zenon_TY_gb) -> False).
% 206.76/206.95  do 12 intro. intros zenon_H7c zenon_H5c zenon_H3c zenon_H1c zenon_H3 zenon_H6 zenon_H2c zenon_H4c zenon_H6c zenon_H8c zenon_H4 zenon_H9b zenon_H9c.
% 206.76/206.95  elim (classic ((~(zenon_TX_j = zenon_TX_fl))/\(~(r1 zenon_TX_j zenon_TX_fl)))); [ zenon_intro zenon_H9e | zenon_intro zenon_H9f ].
% 206.76/206.95  apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_Ha0. zenon_intro zenon_H8b.
% 206.76/206.95  apply (zenon_L9_ zenon_TX_fl zenon_TY_ev zenon_TX_j zenon_TX_h zenon_TY_i zenon_TX_bt zenon_TY_bd zenon_TX_cz zenon_TY_cj zenon_TX_ef zenon_TY_dp); trivial.
% 206.76/206.95  cut ((r1 zenon_TX_fl zenon_TY_gb) = (r1 zenon_TX_j zenon_TY_gb)).
% 206.76/206.95  intro zenon_D_pnotp.
% 206.76/206.95  apply zenon_H9b.
% 206.76/206.95  rewrite <- zenon_D_pnotp.
% 206.76/206.95  exact zenon_H9c.
% 206.76/206.95  cut ((zenon_TY_gb = zenon_TY_gb)); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 206.76/206.95  cut ((zenon_TX_fl = zenon_TX_j)); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 206.76/206.95  congruence.
% 206.76/206.95  apply (zenon_notand_s _ _ zenon_H9f); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha3 ].
% 206.76/206.95  apply zenon_Ha4. zenon_intro zenon_Ha5.
% 206.76/206.95  elim (classic (zenon_TX_j = zenon_TX_j)); [ zenon_intro zenon_H13 | zenon_intro zenon_H14 ].
% 206.76/206.95  cut ((zenon_TX_j = zenon_TX_j) = (zenon_TX_fl = zenon_TX_j)).
% 206.76/206.95  intro zenon_D_pnotp.
% 206.76/206.95  apply zenon_Ha2.
% 206.76/206.95  rewrite <- zenon_D_pnotp.
% 206.76/206.95  exact zenon_H13.
% 206.76/206.95  cut ((zenon_TX_j = zenon_TX_j)); [idtac | apply NNPP; zenon_intro zenon_H14].
% 206.76/206.95  cut ((zenon_TX_j = zenon_TX_fl)); [idtac | apply NNPP; zenon_intro zenon_Ha0].
% 206.76/206.95  congruence.
% 206.76/206.95  exact (zenon_Ha0 zenon_Ha5).
% 206.76/206.95  apply zenon_H14. apply refl_equal.
% 206.76/206.95  apply zenon_H14. apply refl_equal.
% 206.76/206.95  apply zenon_Ha3. zenon_intro zenon_H99.
% 206.76/206.95  generalize (zenon_H4 zenon_TX_j). zenon_intro zenon_H15.
% 206.76/206.95  generalize (zenon_H15 zenon_TX_fl). zenon_intro zenon_Ha6.
% 206.76/206.95  generalize (zenon_Ha6 zenon_TY_gb). zenon_intro zenon_Ha7.
% 206.76/206.95  apply (zenon_imply_s _ _ zenon_Ha7); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 206.76/206.95  exact (zenon_H8b zenon_H99).
% 206.76/206.95  apply (zenon_imply_s _ _ zenon_Ha8); [ zenon_intro zenon_Haa | zenon_intro zenon_Ha9 ].
% 206.76/206.95  exact (zenon_Haa zenon_H9c).
% 206.76/206.95  exact (zenon_H9b zenon_Ha9).
% 206.76/206.95  apply zenon_Ha1. apply refl_equal.
% 206.76/206.95  (* end of lemma zenon_L10_ *)
% 206.76/206.95  assert (zenon_L11_ : forall (zenon_TY_gs : zenon_U) (zenon_TX_gt : zenon_U) (zenon_TY_gb : zenon_U), (r1 zenon_TY_gb zenon_TX_gt) -> (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((r1 x y)->((r1 y z)->(r1 x z)))))) -> (~(r1 zenon_TY_gb zenon_TY_gs)) -> (r1 zenon_TX_gt zenon_TY_gs) -> False).
% 206.76/206.95  do 3 intro. intros zenon_Hab zenon_H4 zenon_Hac zenon_Had.
% 206.76/206.95  elim (classic ((~(zenon_TY_gb = zenon_TX_gt))/\(~(r1 zenon_TY_gb zenon_TX_gt)))); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb1 ].
% 206.76/206.95  apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2.
% 206.76/206.95  exact (zenon_Hb2 zenon_Hab).
% 206.76/206.95  cut ((r1 zenon_TX_gt zenon_TY_gs) = (r1 zenon_TY_gb zenon_TY_gs)).
% 206.76/206.95  intro zenon_D_pnotp.
% 206.76/206.95  apply zenon_Hac.
% 206.76/206.95  rewrite <- zenon_D_pnotp.
% 206.76/206.95  exact zenon_Had.
% 206.76/206.95  cut ((zenon_TY_gs = zenon_TY_gs)); [idtac | apply NNPP; zenon_intro zenon_Hb4].
% 206.76/206.95  cut ((zenon_TX_gt = zenon_TY_gb)); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 206.76/206.95  congruence.
% 206.76/206.95  apply (zenon_notand_s _ _ zenon_Hb1); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hb6 ].
% 206.76/206.95  apply zenon_Hb7. zenon_intro zenon_Hb8.
% 206.76/206.95  elim (classic (zenon_TY_gb = zenon_TY_gb)); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Ha1 ].
% 206.76/206.95  cut ((zenon_TY_gb = zenon_TY_gb) = (zenon_TX_gt = zenon_TY_gb)).
% 206.76/206.95  intro zenon_D_pnotp.
% 206.76/206.95  apply zenon_Hb5.
% 206.76/206.95  rewrite <- zenon_D_pnotp.
% 206.76/206.95  exact zenon_Hb9.
% 206.76/206.95  cut ((zenon_TY_gb = zenon_TY_gb)); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 206.76/206.95  cut ((zenon_TY_gb = zenon_TX_gt)); [idtac | apply NNPP; zenon_intro zenon_Hb3].
% 206.76/206.95  congruence.
% 206.76/206.95  exact (zenon_Hb3 zenon_Hb8).
% 206.76/206.95  apply zenon_Ha1. apply refl_equal.
% 206.76/206.95  apply zenon_Ha1. apply refl_equal.
% 206.76/206.95  apply zenon_Hb6. zenon_intro zenon_Hab.
% 206.76/206.95  generalize (zenon_H4 zenon_TY_gb). zenon_intro zenon_Hba.
% 206.76/206.95  generalize (zenon_Hba zenon_TX_gt). zenon_intro zenon_Hbb.
% 206.76/206.95  generalize (zenon_Hbb zenon_TY_gs). zenon_intro zenon_Hbc.
% 206.76/206.95  apply (zenon_imply_s _ _ zenon_Hbc); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hbd ].
% 206.76/206.95  exact (zenon_Hb2 zenon_Hab).
% 206.76/206.95  apply (zenon_imply_s _ _ zenon_Hbd); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ].
% 206.76/206.95  exact (zenon_Hbf zenon_Had).
% 206.76/206.95  exact (zenon_Hac zenon_Hbe).
% 206.76/206.95  apply zenon_Hb4. apply refl_equal.
% 206.76/206.95  (* end of lemma zenon_L11_ *)
% 206.76/206.95  assert (zenon_L12_ : forall (zenon_TY_hn : zenon_U) (zenon_TX_ho : zenon_U) (zenon_TY_gb : zenon_U) (zenon_TY_gs : zenon_U) (zenon_TX_gt : zenon_U), (r1 zenon_TX_gt zenon_TY_gs) -> (r1 zenon_TY_gb zenon_TX_gt) -> (r1 zenon_TY_gs zenon_TX_ho) -> (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((r1 x y)->((r1 y z)->(r1 x z)))))) -> (~(r1 zenon_TY_gb zenon_TY_hn)) -> (r1 zenon_TX_ho zenon_TY_hn) -> False).
% 206.76/206.95  do 5 intro. intros zenon_Had zenon_Hab zenon_Hc0 zenon_H4 zenon_Hc1 zenon_Hc2.
% 206.76/206.95  elim (classic ((~(zenon_TY_gb = zenon_TX_ho))/\(~(r1 zenon_TY_gb zenon_TX_ho)))); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hc6 ].
% 206.76/206.95  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 206.76/206.95  elim (classic ((~(zenon_TY_gb = zenon_TY_gs))/\(~(r1 zenon_TY_gb zenon_TY_gs)))); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hca ].
% 206.76/206.95  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hac.
% 206.76/206.95  apply (zenon_L11_ zenon_TY_gs zenon_TX_gt zenon_TY_gb); trivial.
% 206.76/206.95  cut ((r1 zenon_TY_gs zenon_TX_ho) = (r1 zenon_TY_gb zenon_TX_ho)).
% 206.76/206.95  intro zenon_D_pnotp.
% 206.76/206.95  apply zenon_Hc7.
% 206.76/206.95  rewrite <- zenon_D_pnotp.
% 206.76/206.95  exact zenon_Hc0.
% 206.76/206.95  cut ((zenon_TX_ho = zenon_TX_ho)); [idtac | apply NNPP; zenon_intro zenon_Hcc].
% 206.76/206.95  cut ((zenon_TY_gs = zenon_TY_gb)); [idtac | apply NNPP; zenon_intro zenon_Hcd].
% 206.76/206.95  congruence.
% 206.76/206.95  apply (zenon_notand_s _ _ zenon_Hca); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hce ].
% 206.76/206.95  apply zenon_Hcf. zenon_intro zenon_Hd0.
% 206.76/206.95  elim (classic (zenon_TY_gb = zenon_TY_gb)); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Ha1 ].
% 206.76/206.95  cut ((zenon_TY_gb = zenon_TY_gb) = (zenon_TY_gs = zenon_TY_gb)).
% 206.76/206.95  intro zenon_D_pnotp.
% 206.76/206.95  apply zenon_Hcd.
% 206.76/206.95  rewrite <- zenon_D_pnotp.
% 206.76/206.95  exact zenon_Hb9.
% 206.76/206.95  cut ((zenon_TY_gb = zenon_TY_gb)); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 206.76/206.95  cut ((zenon_TY_gb = zenon_TY_gs)); [idtac | apply NNPP; zenon_intro zenon_Hcb].
% 206.76/206.95  congruence.
% 206.76/206.95  exact (zenon_Hcb zenon_Hd0).
% 206.76/206.95  apply zenon_Ha1. apply refl_equal.
% 206.76/206.95  apply zenon_Ha1. apply refl_equal.
% 206.76/206.95  apply zenon_Hce. zenon_intro zenon_Hbe.
% 206.76/206.95  generalize (zenon_H4 zenon_TY_gb). zenon_intro zenon_Hba.
% 206.76/206.95  generalize (zenon_Hba zenon_TY_gs). zenon_intro zenon_Hd1.
% 206.76/206.95  generalize (zenon_Hd1 zenon_TX_ho). zenon_intro zenon_Hd2.
% 206.76/206.95  apply (zenon_imply_s _ _ zenon_Hd2); [ zenon_intro zenon_Hac | zenon_intro zenon_Hd3 ].
% 206.76/206.95  exact (zenon_Hac zenon_Hbe).
% 206.76/206.95  apply (zenon_imply_s _ _ zenon_Hd3); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd4 ].
% 206.76/206.95  exact (zenon_Hd5 zenon_Hc0).
% 206.76/206.95  exact (zenon_Hc7 zenon_Hd4).
% 206.76/206.95  apply zenon_Hcc. apply refl_equal.
% 206.76/206.95  cut ((r1 zenon_TX_ho zenon_TY_hn) = (r1 zenon_TY_gb zenon_TY_hn)).
% 206.76/206.95  intro zenon_D_pnotp.
% 206.76/206.95  apply zenon_Hc1.
% 206.76/206.95  rewrite <- zenon_D_pnotp.
% 206.76/206.95  exact zenon_Hc2.
% 206.76/206.95  cut ((zenon_TY_hn = zenon_TY_hn)); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 206.76/206.95  cut ((zenon_TX_ho = zenon_TY_gb)); [idtac | apply NNPP; zenon_intro zenon_Hd7].
% 206.76/206.95  congruence.
% 206.76/206.95  apply (zenon_notand_s _ _ zenon_Hc6); [ zenon_intro zenon_Hd9 | zenon_intro zenon_Hd8 ].
% 206.76/206.95  apply zenon_Hd9. zenon_intro zenon_Hda.
% 206.76/206.95  elim (classic (zenon_TY_gb = zenon_TY_gb)); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Ha1 ].
% 206.76/206.95  cut ((zenon_TY_gb = zenon_TY_gb) = (zenon_TX_ho = zenon_TY_gb)).
% 206.76/206.95  intro zenon_D_pnotp.
% 206.76/206.95  apply zenon_Hd7.
% 206.76/206.95  rewrite <- zenon_D_pnotp.
% 206.76/206.95  exact zenon_Hb9.
% 206.76/206.95  cut ((zenon_TY_gb = zenon_TY_gb)); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 206.76/206.95  cut ((zenon_TY_gb = zenon_TX_ho)); [idtac | apply NNPP; zenon_intro zenon_Hc8].
% 206.76/206.95  congruence.
% 206.76/206.95  exact (zenon_Hc8 zenon_Hda).
% 206.76/206.95  apply zenon_Ha1. apply refl_equal.
% 206.76/206.95  apply zenon_Ha1. apply refl_equal.
% 206.76/206.95  apply zenon_Hd8. zenon_intro zenon_Hd4.
% 206.76/206.95  generalize (zenon_H4 zenon_TY_gb). zenon_intro zenon_Hba.
% 206.76/206.95  generalize (zenon_Hba zenon_TX_ho). zenon_intro zenon_Hdb.
% 206.76/206.95  generalize (zenon_Hdb zenon_TY_hn). zenon_intro zenon_Hdc.
% 206.76/206.95  apply (zenon_imply_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hdd ].
% 206.76/206.95  exact (zenon_Hc7 zenon_Hd4).
% 206.76/206.95  apply (zenon_imply_s _ _ zenon_Hdd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hde ].
% 206.76/206.95  exact (zenon_Hdf zenon_Hc2).
% 206.76/206.95  exact (zenon_Hc1 zenon_Hde).
% 206.76/206.95  apply zenon_Hd6. apply refl_equal.
% 206.76/206.95  (* end of lemma zenon_L12_ *)
% 206.76/206.95  assert (zenon_L13_ : forall (zenon_TX_is : zenon_U) (zenon_TY_hn : zenon_U) (zenon_TX_gt : zenon_U) (zenon_TY_gb : zenon_U) (zenon_TX_ho : zenon_U) (zenon_TY_gs : zenon_U), (r1 zenon_TY_gs zenon_TX_ho) -> (r1 zenon_TY_gb zenon_TX_gt) -> (r1 zenon_TX_gt zenon_TY_gs) -> (r1 zenon_TX_ho zenon_TY_hn) -> (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((r1 x y)->((r1 y z)->(r1 x z)))))) -> (~(r1 zenon_TY_gb zenon_TX_is)) -> (r1 zenon_TY_hn zenon_TX_is) -> False).
% 206.76/206.95  do 6 intro. intros zenon_Hc0 zenon_Hab zenon_Had zenon_Hc2 zenon_H4 zenon_He0 zenon_He1.
% 206.76/206.95  elim (classic ((~(zenon_TY_gb = zenon_TY_hn))/\(~(r1 zenon_TY_gb zenon_TY_hn)))); [ zenon_intro zenon_He3 | zenon_intro zenon_He4 ].
% 206.76/206.95  apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_Hc1.
% 206.76/206.95  apply (zenon_L12_ zenon_TY_hn zenon_TX_ho zenon_TY_gb zenon_TY_gs zenon_TX_gt); trivial.
% 206.76/206.95  cut ((r1 zenon_TY_hn zenon_TX_is) = (r1 zenon_TY_gb zenon_TX_is)).
% 206.76/206.95  intro zenon_D_pnotp.
% 206.76/206.95  apply zenon_He0.
% 206.76/206.95  rewrite <- zenon_D_pnotp.
% 206.76/206.95  exact zenon_He1.
% 206.76/206.95  cut ((zenon_TX_is = zenon_TX_is)); [idtac | apply NNPP; zenon_intro zenon_He6].
% 206.76/206.95  cut ((zenon_TY_hn = zenon_TY_gb)); [idtac | apply NNPP; zenon_intro zenon_He7].
% 206.76/206.95  congruence.
% 206.76/206.95  apply (zenon_notand_s _ _ zenon_He4); [ zenon_intro zenon_He9 | zenon_intro zenon_He8 ].
% 206.76/206.95  apply zenon_He9. zenon_intro zenon_Hea.
% 206.76/206.95  elim (classic (zenon_TY_gb = zenon_TY_gb)); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Ha1 ].
% 206.76/206.95  cut ((zenon_TY_gb = zenon_TY_gb) = (zenon_TY_hn = zenon_TY_gb)).
% 206.76/206.95  intro zenon_D_pnotp.
% 206.76/206.95  apply zenon_He7.
% 206.76/206.95  rewrite <- zenon_D_pnotp.
% 206.76/206.95  exact zenon_Hb9.
% 206.76/206.95  cut ((zenon_TY_gb = zenon_TY_gb)); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 206.76/206.95  cut ((zenon_TY_gb = zenon_TY_hn)); [idtac | apply NNPP; zenon_intro zenon_He5].
% 206.76/206.95  congruence.
% 206.76/206.95  exact (zenon_He5 zenon_Hea).
% 206.76/206.95  apply zenon_Ha1. apply refl_equal.
% 206.76/206.95  apply zenon_Ha1. apply refl_equal.
% 206.76/206.95  apply zenon_He8. zenon_intro zenon_Hde.
% 206.76/206.95  generalize (zenon_H4 zenon_TY_gb). zenon_intro zenon_Hba.
% 206.76/206.95  generalize (zenon_Hba zenon_TY_hn). zenon_intro zenon_Heb.
% 206.76/206.95  generalize (zenon_Heb zenon_TX_is). zenon_intro zenon_Hec.
% 206.76/206.95  apply (zenon_imply_s _ _ zenon_Hec); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hed ].
% 206.76/206.95  exact (zenon_Hc1 zenon_Hde).
% 206.76/206.95  apply (zenon_imply_s _ _ zenon_Hed); [ zenon_intro zenon_Hef | zenon_intro zenon_Hee ].
% 206.76/206.95  exact (zenon_Hef zenon_He1).
% 206.76/206.95  exact (zenon_He0 zenon_Hee).
% 206.76/206.95  apply zenon_He6. apply refl_equal.
% 206.76/206.95  (* end of lemma zenon_L13_ *)
% 206.76/206.95  assert (zenon_L14_ : forall (zenon_TY_ji : zenon_U) (zenon_TX_is : zenon_U) (zenon_TY_gb : zenon_U) (zenon_TY_gs : zenon_U) (zenon_TX_gt : zenon_U) (zenon_TY_hn : zenon_U) (zenon_TX_ho : zenon_U), (r1 zenon_TX_ho zenon_TY_hn) -> (r1 zenon_TX_gt zenon_TY_gs) -> (r1 zenon_TY_gb zenon_TX_gt) -> (r1 zenon_TY_gs zenon_TX_ho) -> (r1 zenon_TY_hn zenon_TX_is) -> (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((r1 x y)->((r1 y z)->(r1 x z)))))) -> (~(r1 zenon_TY_gb zenon_TY_ji)) -> (r1 zenon_TX_is zenon_TY_ji) -> False).
% 206.76/206.95  do 7 intro. intros zenon_Hc2 zenon_Had zenon_Hab zenon_Hc0 zenon_He1 zenon_H4 zenon_Hf0 zenon_Hf1.
% 206.76/206.95  elim (classic ((~(zenon_TY_gb = zenon_TX_is))/\(~(r1 zenon_TY_gb zenon_TX_is)))); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hf4 ].
% 206.76/206.95  apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf5. zenon_intro zenon_He0.
% 206.76/206.95  apply (zenon_L13_ zenon_TX_is zenon_TY_hn zenon_TX_gt zenon_TY_gb zenon_TX_ho zenon_TY_gs); trivial.
% 206.76/206.95  cut ((r1 zenon_TX_is zenon_TY_ji) = (r1 zenon_TY_gb zenon_TY_ji)).
% 206.76/206.95  intro zenon_D_pnotp.
% 206.76/206.95  apply zenon_Hf0.
% 206.76/206.95  rewrite <- zenon_D_pnotp.
% 206.76/206.95  exact zenon_Hf1.
% 206.76/206.95  cut ((zenon_TY_ji = zenon_TY_ji)); [idtac | apply NNPP; zenon_intro zenon_Hf6].
% 206.76/206.95  cut ((zenon_TX_is = zenon_TY_gb)); [idtac | apply NNPP; zenon_intro zenon_Hf7].
% 206.76/206.95  congruence.
% 206.76/206.95  apply (zenon_notand_s _ _ zenon_Hf4); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hf8 ].
% 206.76/206.95  apply zenon_Hf9. zenon_intro zenon_Hfa.
% 206.76/206.95  elim (classic (zenon_TY_gb = zenon_TY_gb)); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Ha1 ].
% 206.76/206.95  cut ((zenon_TY_gb = zenon_TY_gb) = (zenon_TX_is = zenon_TY_gb)).
% 206.76/206.95  intro zenon_D_pnotp.
% 206.76/206.95  apply zenon_Hf7.
% 206.76/206.95  rewrite <- zenon_D_pnotp.
% 206.76/206.95  exact zenon_Hb9.
% 206.76/206.95  cut ((zenon_TY_gb = zenon_TY_gb)); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 206.76/206.95  cut ((zenon_TY_gb = zenon_TX_is)); [idtac | apply NNPP; zenon_intro zenon_Hf5].
% 206.76/206.95  congruence.
% 206.76/206.95  exact (zenon_Hf5 zenon_Hfa).
% 206.76/206.95  apply zenon_Ha1. apply refl_equal.
% 206.76/206.95  apply zenon_Ha1. apply refl_equal.
% 206.76/206.95  apply zenon_Hf8. zenon_intro zenon_Hee.
% 206.76/206.95  generalize (zenon_H4 zenon_TY_gb). zenon_intro zenon_Hba.
% 206.76/206.95  generalize (zenon_Hba zenon_TX_is). zenon_intro zenon_Hfb.
% 206.76/206.95  generalize (zenon_Hfb zenon_TY_ji). zenon_intro zenon_Hfc.
% 206.76/206.95  apply (zenon_imply_s _ _ zenon_Hfc); [ zenon_intro zenon_He0 | zenon_intro zenon_Hfd ].
% 206.76/206.95  exact (zenon_He0 zenon_Hee).
% 206.76/206.95  apply (zenon_imply_s _ _ zenon_Hfd); [ zenon_intro zenon_Hff | zenon_intro zenon_Hfe ].
% 206.76/206.95  exact (zenon_Hff zenon_Hf1).
% 206.76/206.95  exact (zenon_Hf0 zenon_Hfe).
% 206.76/206.95  apply zenon_Hf6. apply refl_equal.
% 206.76/206.95  (* end of lemma zenon_L14_ *)
% 206.76/206.95  assert (zenon_L15_ : forall (zenon_TX_jy : zenon_U) (zenon_TY_ji : zenon_U) (zenon_TX_gt : zenon_U) (zenon_TY_gb : zenon_U) (zenon_TX_ho : zenon_U) (zenon_TY_gs : zenon_U) (zenon_TX_is : zenon_U) (zenon_TY_hn : zenon_U), (r1 zenon_TY_hn zenon_TX_is) -> (r1 zenon_TY_gs zenon_TX_ho) -> (r1 zenon_TY_gb zenon_TX_gt) -> (r1 zenon_TX_gt zenon_TY_gs) -> (r1 zenon_TX_ho zenon_TY_hn) -> (r1 zenon_TX_is zenon_TY_ji) -> (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((r1 x y)->((r1 y z)->(r1 x z)))))) -> (~(r1 zenon_TY_gb zenon_TX_jy)) -> (r1 zenon_TY_ji zenon_TX_jy) -> False).
% 206.76/206.95  do 8 intro. intros zenon_He1 zenon_Hc0 zenon_Hab zenon_Had zenon_Hc2 zenon_Hf1 zenon_H4 zenon_H100 zenon_H101.
% 206.76/206.95  elim (classic ((~(zenon_TY_gb = zenon_TY_ji))/\(~(r1 zenon_TY_gb zenon_TY_ji)))); [ zenon_intro zenon_H103 | zenon_intro zenon_H104 ].
% 206.76/206.95  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_H105. zenon_intro zenon_Hf0.
% 206.76/206.95  apply (zenon_L14_ zenon_TY_ji zenon_TX_is zenon_TY_gb zenon_TY_gs zenon_TX_gt zenon_TY_hn zenon_TX_ho); trivial.
% 206.76/206.95  cut ((r1 zenon_TY_ji zenon_TX_jy) = (r1 zenon_TY_gb zenon_TX_jy)).
% 206.76/206.95  intro zenon_D_pnotp.
% 206.76/206.95  apply zenon_H100.
% 206.76/206.95  rewrite <- zenon_D_pnotp.
% 206.76/206.95  exact zenon_H101.
% 206.76/206.95  cut ((zenon_TX_jy = zenon_TX_jy)); [idtac | apply NNPP; zenon_intro zenon_H106].
% 206.76/206.95  cut ((zenon_TY_ji = zenon_TY_gb)); [idtac | apply NNPP; zenon_intro zenon_H107].
% 206.76/206.95  congruence.
% 206.76/206.95  apply (zenon_notand_s _ _ zenon_H104); [ zenon_intro zenon_H109 | zenon_intro zenon_H108 ].
% 206.76/206.95  apply zenon_H109. zenon_intro zenon_H10a.
% 206.76/206.95  elim (classic (zenon_TY_gb = zenon_TY_gb)); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Ha1 ].
% 206.76/206.95  cut ((zenon_TY_gb = zenon_TY_gb) = (zenon_TY_ji = zenon_TY_gb)).
% 206.76/206.95  intro zenon_D_pnotp.
% 206.76/206.95  apply zenon_H107.
% 206.76/206.95  rewrite <- zenon_D_pnotp.
% 206.76/206.95  exact zenon_Hb9.
% 206.76/206.95  cut ((zenon_TY_gb = zenon_TY_gb)); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 206.76/206.95  cut ((zenon_TY_gb = zenon_TY_ji)); [idtac | apply NNPP; zenon_intro zenon_H105].
% 206.76/206.95  congruence.
% 206.76/206.95  exact (zenon_H105 zenon_H10a).
% 206.76/206.95  apply zenon_Ha1. apply refl_equal.
% 206.76/206.95  apply zenon_Ha1. apply refl_equal.
% 206.76/206.95  apply zenon_H108. zenon_intro zenon_Hfe.
% 206.76/206.95  generalize (zenon_H4 zenon_TY_gb). zenon_intro zenon_Hba.
% 206.76/206.95  generalize (zenon_Hba zenon_TY_ji). zenon_intro zenon_H10b.
% 206.76/206.95  generalize (zenon_H10b zenon_TX_jy). zenon_intro zenon_H10c.
% 206.76/206.95  apply (zenon_imply_s _ _ zenon_H10c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H10d ].
% 206.76/206.95  exact (zenon_Hf0 zenon_Hfe).
% 206.76/206.95  apply (zenon_imply_s _ _ zenon_H10d); [ zenon_intro zenon_H10f | zenon_intro zenon_H10e ].
% 206.76/206.95  exact (zenon_H10f zenon_H101).
% 206.76/206.95  exact (zenon_H100 zenon_H10e).
% 206.76/206.95  apply zenon_H106. apply refl_equal.
% 206.76/206.95  (* end of lemma zenon_L15_ *)
% 206.76/206.95  assert (zenon_L16_ : forall (zenon_TY_ko : zenon_U) (zenon_TX_jy : zenon_U) (zenon_TY_gb : zenon_U) (zenon_TY_gs : zenon_U) (zenon_TX_gt : zenon_U) (zenon_TY_hn : zenon_U) (zenon_TX_ho : zenon_U) (zenon_TY_ji : zenon_U) (zenon_TX_is : zenon_U), (r1 zenon_TX_is zenon_TY_ji) -> (r1 zenon_TX_ho zenon_TY_hn) -> (r1 zenon_TX_gt zenon_TY_gs) -> (r1 zenon_TY_gb zenon_TX_gt) -> (r1 zenon_TY_gs zenon_TX_ho) -> (r1 zenon_TY_hn zenon_TX_is) -> (r1 zenon_TY_ji zenon_TX_jy) -> (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((r1 x y)->((r1 y z)->(r1 x z)))))) -> (~(r1 zenon_TY_gb zenon_TY_ko)) -> (r1 zenon_TX_jy zenon_TY_ko) -> False).
% 206.76/206.95  do 9 intro. intros zenon_Hf1 zenon_Hc2 zenon_Had zenon_Hab zenon_Hc0 zenon_He1 zenon_H101 zenon_H4 zenon_H110 zenon_H111.
% 206.76/206.95  elim (classic ((~(zenon_TY_gb = zenon_TX_jy))/\(~(r1 zenon_TY_gb zenon_TX_jy)))); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ].
% 206.76/206.95  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H115. zenon_intro zenon_H100.
% 206.76/206.95  apply (zenon_L15_ zenon_TX_jy zenon_TY_ji zenon_TX_gt zenon_TY_gb zenon_TX_ho zenon_TY_gs zenon_TX_is zenon_TY_hn); trivial.
% 206.76/206.95  cut ((r1 zenon_TX_jy zenon_TY_ko) = (r1 zenon_TY_gb zenon_TY_ko)).
% 206.76/206.95  intro zenon_D_pnotp.
% 206.76/206.95  apply zenon_H110.
% 206.76/206.95  rewrite <- zenon_D_pnotp.
% 206.76/206.95  exact zenon_H111.
% 206.76/206.95  cut ((zenon_TY_ko = zenon_TY_ko)); [idtac | apply NNPP; zenon_intro zenon_H116].
% 206.76/206.95  cut ((zenon_TX_jy = zenon_TY_gb)); [idtac | apply NNPP; zenon_intro zenon_H117].
% 206.76/206.95  congruence.
% 206.76/206.95  apply (zenon_notand_s _ _ zenon_H114); [ zenon_intro zenon_H119 | zenon_intro zenon_H118 ].
% 206.76/206.95  apply zenon_H119. zenon_intro zenon_H11a.
% 206.76/206.95  elim (classic (zenon_TY_gb = zenon_TY_gb)); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Ha1 ].
% 206.76/206.95  cut ((zenon_TY_gb = zenon_TY_gb) = (zenon_TX_jy = zenon_TY_gb)).
% 206.76/206.95  intro zenon_D_pnotp.
% 206.76/206.95  apply zenon_H117.
% 206.76/206.95  rewrite <- zenon_D_pnotp.
% 206.76/206.95  exact zenon_Hb9.
% 206.76/206.95  cut ((zenon_TY_gb = zenon_TY_gb)); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 206.76/206.95  cut ((zenon_TY_gb = zenon_TX_jy)); [idtac | apply NNPP; zenon_intro zenon_H115].
% 206.76/206.95  congruence.
% 206.76/206.95  exact (zenon_H115 zenon_H11a).
% 206.76/206.95  apply zenon_Ha1. apply refl_equal.
% 206.76/206.95  apply zenon_Ha1. apply refl_equal.
% 206.76/206.95  apply zenon_H118. zenon_intro zenon_H10e.
% 206.76/206.95  generalize (zenon_H4 zenon_TY_gb). zenon_intro zenon_Hba.
% 206.76/206.95  generalize (zenon_Hba zenon_TX_jy). zenon_intro zenon_H11b.
% 206.76/206.95  generalize (zenon_H11b zenon_TY_ko). zenon_intro zenon_H11c.
% 206.76/206.95  apply (zenon_imply_s _ _ zenon_H11c); [ zenon_intro zenon_H100 | zenon_intro zenon_H11d ].
% 206.76/206.95  exact (zenon_H100 zenon_H10e).
% 206.76/206.95  apply (zenon_imply_s _ _ zenon_H11d); [ zenon_intro zenon_H11f | zenon_intro zenon_H11e ].
% 206.76/206.95  exact (zenon_H11f zenon_H111).
% 206.76/206.95  exact (zenon_H110 zenon_H11e).
% 206.76/206.95  apply zenon_H116. apply refl_equal.
% 206.76/206.95  (* end of lemma zenon_L16_ *)
% 206.76/206.95  apply NNPP. intro zenon_G.
% 206.76/206.95  elim (classic (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((r1 x y)->((r1 y z)->(r1 x z))))))); [ zenon_intro zenon_H4 | zenon_intro zenon_H120 ].
% 206.76/206.95  apply zenon_G. zenon_intro zenon_H121.
% 206.76/206.95  elim zenon_H121. zenon_intro zenon_TX_j. zenon_intro zenon_H122.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H123). zenon_intro zenon_H126. zenon_intro zenon_H125.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H125). zenon_intro zenon_H128. zenon_intro zenon_H127.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H127). zenon_intro zenon_H12a. zenon_intro zenon_H129.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H129). zenon_intro zenon_H12c. zenon_intro zenon_H12b.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H12b). zenon_intro zenon_H12e. zenon_intro zenon_H12d.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H12d). zenon_intro zenon_H130. zenon_intro zenon_H12f.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H12f). zenon_intro zenon_H132. zenon_intro zenon_H131.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H131). zenon_intro zenon_H134. zenon_intro zenon_H133.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H133). zenon_intro zenon_H136. zenon_intro zenon_H135.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H135). zenon_intro zenon_H138. zenon_intro zenon_H137.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H137). zenon_intro zenon_H12c. zenon_intro zenon_H139.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H139). zenon_intro zenon_H12e. zenon_intro zenon_H13a.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H13a). zenon_intro zenon_H130. zenon_intro zenon_H13b.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H13b). zenon_intro zenon_H13d. zenon_intro zenon_H13c.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H13c). zenon_intro zenon_H13f. zenon_intro zenon_H13e.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H13e). zenon_intro zenon_H141. zenon_intro zenon_H140.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H140). zenon_intro zenon_H143. zenon_intro zenon_H142.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H142). zenon_intro zenon_H12c. zenon_intro zenon_H144.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H144). zenon_intro zenon_H12e. zenon_intro zenon_H145.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H145). zenon_intro zenon_H130. zenon_intro zenon_H146.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H146). zenon_intro zenon_H148. zenon_intro zenon_H147.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H14d). zenon_intro zenon_H12c. zenon_intro zenon_H14f.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H14f). zenon_intro zenon_H12e. zenon_intro zenon_H150.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H150). zenon_intro zenon_H130. zenon_intro zenon_H151.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H151). zenon_intro zenon_H153. zenon_intro zenon_H152.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H152). zenon_intro zenon_H155. zenon_intro zenon_H154.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H154). zenon_intro zenon_H157. zenon_intro zenon_H156.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H156). zenon_intro zenon_H159. zenon_intro zenon_H158.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H15a.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H15a). zenon_intro zenon_H12e. zenon_intro zenon_H15b.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H15b). zenon_intro zenon_H130. zenon_intro zenon_H15c.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H15c). zenon_intro zenon_H15e. zenon_intro zenon_H15d.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H15d). zenon_intro zenon_H160. zenon_intro zenon_H15f.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H15f). zenon_intro zenon_H162. zenon_intro zenon_H161.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H161). zenon_intro zenon_H164. zenon_intro zenon_H163.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H163). zenon_intro zenon_H12c. zenon_intro zenon_H165.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H165). zenon_intro zenon_H12e. zenon_intro zenon_H166.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H166). zenon_intro zenon_H130. zenon_intro zenon_H167.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H167). zenon_intro zenon_H169. zenon_intro zenon_H168.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H16c). zenon_intro zenon_H16f. zenon_intro zenon_H16e.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H16e). zenon_intro zenon_H12c. zenon_intro zenon_H170.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H170). zenon_intro zenon_H12e. zenon_intro zenon_H171.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H171). zenon_intro zenon_H130. zenon_intro zenon_H172.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H172). zenon_intro zenon_H174. zenon_intro zenon_H173.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H179). zenon_intro zenon_H12c. zenon_intro zenon_H17b.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H17b). zenon_intro zenon_H12e. zenon_intro zenon_H17c.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H17c). zenon_intro zenon_H130. zenon_intro zenon_H17d.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H17d). zenon_intro zenon_H17f. zenon_intro zenon_H17e.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H17e). zenon_intro zenon_H181. zenon_intro zenon_H180.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H180). zenon_intro zenon_H183. zenon_intro zenon_H182.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H182). zenon_intro zenon_H185. zenon_intro zenon_H184.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H184). zenon_intro zenon_H12c. zenon_intro zenon_H186.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H186). zenon_intro zenon_H12e. zenon_intro zenon_H187.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H187). zenon_intro zenon_H130. zenon_intro zenon_H188.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H188). zenon_intro zenon_H18a. zenon_intro zenon_H189.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H189). zenon_intro zenon_H18c. zenon_intro zenon_H18b.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H18b). zenon_intro zenon_H18e. zenon_intro zenon_H18d.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H18d). zenon_intro zenon_H190. zenon_intro zenon_H18f.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H18f). zenon_intro zenon_H12c. zenon_intro zenon_H191.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H191). zenon_intro zenon_H12e. zenon_intro zenon_H192.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H192). zenon_intro zenon_H130. zenon_intro zenon_H193.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H193). zenon_intro zenon_H195. zenon_intro zenon_H194.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H19a). zenon_intro zenon_H12c. zenon_intro zenon_H19c.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H19c). zenon_intro zenon_H12e. zenon_intro zenon_H19d.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H19d). zenon_intro zenon_H130. zenon_intro zenon_H19e.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H19e). zenon_intro zenon_H1a0. zenon_intro zenon_H19f.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H19f). zenon_intro zenon_H1a2. zenon_intro zenon_H1a1.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1a1). zenon_intro zenon_H1a4. zenon_intro zenon_H1a3.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1a3). zenon_intro zenon_H1a6. zenon_intro zenon_H1a5.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a7.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1a7). zenon_intro zenon_H12e. zenon_intro zenon_H1a8.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1a8). zenon_intro zenon_H130. zenon_intro zenon_H1a9.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1a9). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1aa). zenon_intro zenon_H1ad. zenon_intro zenon_H1ac.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1ac). zenon_intro zenon_H1af. zenon_intro zenon_H1ae.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1ae). zenon_intro zenon_H1b1. zenon_intro zenon_H1b0.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1b0). zenon_intro zenon_H12c. zenon_intro zenon_H1b2.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1b2). zenon_intro zenon_H12e. zenon_intro zenon_H1b3.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1b3). zenon_intro zenon_H130. zenon_intro zenon_H1b4.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1b4). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1b5). zenon_intro zenon_H1b8. zenon_intro zenon_H1b7.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1b7). zenon_intro zenon_H1ba. zenon_intro zenon_H1b9.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1b9). zenon_intro zenon_H1bc. zenon_intro zenon_H1bb.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H1bd.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1bd). zenon_intro zenon_H12e. zenon_intro zenon_H1be.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1be). zenon_intro zenon_H130. zenon_intro zenon_H1bf.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1bf). zenon_intro zenon_H1c1. zenon_intro zenon_H1c0.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1c0). zenon_intro zenon_H1c3. zenon_intro zenon_H1c2.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1c2). zenon_intro zenon_H1c5. zenon_intro zenon_H1c4.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1c4). zenon_intro zenon_H1c7. zenon_intro zenon_H1c6.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1c6). zenon_intro zenon_H12c. zenon_intro zenon_H1c8.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1c8). zenon_intro zenon_H12e. zenon_intro zenon_H1c9.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1c9). zenon_intro zenon_H130. zenon_intro zenon_H1ca.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1ca). zenon_intro zenon_H1cc. zenon_intro zenon_H1cb.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1cb). zenon_intro zenon_H1ce. zenon_intro zenon_H1cd.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1cd). zenon_intro zenon_H1d0. zenon_intro zenon_H1cf.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1cf). zenon_intro zenon_H1d2. zenon_intro zenon_H1d1.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1d1). zenon_intro zenon_H12c. zenon_intro zenon_H1d3.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1d3). zenon_intro zenon_H12e. zenon_intro zenon_H1d4.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1d4). zenon_intro zenon_H130. zenon_intro zenon_H1d5.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1d5). zenon_intro zenon_H1d7. zenon_intro zenon_H1d6.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1d6). zenon_intro zenon_H1d9. zenon_intro zenon_H1d8.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1d8). zenon_intro zenon_H1db. zenon_intro zenon_H1da.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1da). zenon_intro zenon_H1dd. zenon_intro zenon_H1dc.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1dc). zenon_intro zenon_H12c. zenon_intro zenon_H1de.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1de). zenon_intro zenon_H12e. zenon_intro zenon_H1df.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1df). zenon_intro zenon_H130. zenon_intro zenon_H1e0.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1e0). zenon_intro zenon_H1e2. zenon_intro zenon_H1e1.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1e1). zenon_intro zenon_H1e4. zenon_intro zenon_H1e3.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1e3). zenon_intro zenon_H1e6. zenon_intro zenon_H1e5.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1e5). zenon_intro zenon_H1e8. zenon_intro zenon_H1e7.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1e7). zenon_intro zenon_H12c. zenon_intro zenon_H1e9.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1e9). zenon_intro zenon_H12e. zenon_intro zenon_H1ea.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1ea). zenon_intro zenon_H130. zenon_intro zenon_H1eb.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1eb). zenon_intro zenon_H1ed. zenon_intro zenon_H1ec.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1ec). zenon_intro zenon_H1ef. zenon_intro zenon_H1ee.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1ee). zenon_intro zenon_H1f1. zenon_intro zenon_H1f0.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1f0). zenon_intro zenon_H1f3. zenon_intro zenon_H1f2.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1f2). zenon_intro zenon_H12c. zenon_intro zenon_H1f4.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1f4). zenon_intro zenon_H12e. zenon_intro zenon_H1f5.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1f5). zenon_intro zenon_H130. zenon_intro zenon_H1f6.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1f6). zenon_intro zenon_H1f8. zenon_intro zenon_H1f7.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1f7). zenon_intro zenon_H1fa. zenon_intro zenon_H1f9.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1f9). zenon_intro zenon_H1fc. zenon_intro zenon_H1fb.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1fb). zenon_intro zenon_H1fe. zenon_intro zenon_H1fd.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1fd). zenon_intro zenon_H12c. zenon_intro zenon_H1ff.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H1ff). zenon_intro zenon_H12e. zenon_intro zenon_H130.
% 206.76/206.95  apply (zenon_notallex_s (fun Y : zenon_U => ((~(r1 zenon_TX_j Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))) zenon_H12e); [ zenon_intro zenon_H200; idtac ].
% 206.76/206.95  elim zenon_H200. zenon_intro zenon_TY_i. zenon_intro zenon_H201.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H201). zenon_intro zenon_H10. zenon_intro zenon_H202.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H202). zenon_intro zenon_H204. zenon_intro zenon_H203.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H203). zenon_intro zenon_H206. zenon_intro zenon_H205.
% 206.76/206.95  apply zenon_H10. zenon_intro zenon_H3.
% 206.76/206.95  apply (zenon_notallex_s (fun X : zenon_U => ((~(r1 zenon_TY_i X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))) zenon_H206); [ zenon_intro zenon_H207; idtac ].
% 206.76/206.95  elim zenon_H207. zenon_intro zenon_TX_h. zenon_intro zenon_H208.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H208). zenon_intro zenon_H20a. zenon_intro zenon_H209.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H209). zenon_intro zenon_H20c. zenon_intro zenon_H20b.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H20b). zenon_intro zenon_H20e. zenon_intro zenon_H20d.
% 206.76/206.95  apply zenon_H20a. zenon_intro zenon_H6.
% 206.76/206.95  apply (zenon_notallex_s (fun Y : zenon_U => ((~(r1 zenon_TX_h Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))) zenon_H20e); [ zenon_intro zenon_H20f; idtac ].
% 206.76/206.95  elim zenon_H20f. zenon_intro zenon_TY_bd. zenon_intro zenon_H210.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H210). zenon_intro zenon_H212. zenon_intro zenon_H211.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H211). zenon_intro zenon_H214. zenon_intro zenon_H213.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H213). zenon_intro zenon_H216. zenon_intro zenon_H215.
% 206.76/206.95  apply zenon_H212. zenon_intro zenon_H1c.
% 206.76/206.95  apply (zenon_notallex_s (fun X : zenon_U => ((~(r1 zenon_TY_bd X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))) zenon_H216); [ zenon_intro zenon_H217; idtac ].
% 206.76/206.95  elim zenon_H217. zenon_intro zenon_TX_bt. zenon_intro zenon_H218.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d.
% 206.76/206.95  apply zenon_H21a. zenon_intro zenon_H2c.
% 206.76/206.95  apply (zenon_notallex_s (fun Y : zenon_U => ((~(r1 zenon_TX_bt Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))) zenon_H21e); [ zenon_intro zenon_H21f; idtac ].
% 206.76/206.95  elim zenon_H21f. zenon_intro zenon_TY_cj. zenon_intro zenon_H220.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H220). zenon_intro zenon_H222. zenon_intro zenon_H221.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H221). zenon_intro zenon_H224. zenon_intro zenon_H223.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H223). zenon_intro zenon_H226. zenon_intro zenon_H225.
% 206.76/206.95  apply zenon_H222. zenon_intro zenon_H3c.
% 206.76/206.95  apply (zenon_notallex_s (fun X : zenon_U => ((~(r1 zenon_TY_cj X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))) zenon_H226); [ zenon_intro zenon_H227; idtac ].
% 206.76/206.95  elim zenon_H227. zenon_intro zenon_TX_cz. zenon_intro zenon_H228.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H228). zenon_intro zenon_H22a. zenon_intro zenon_H229.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H229). zenon_intro zenon_H22c. zenon_intro zenon_H22b.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H22b). zenon_intro zenon_H22e. zenon_intro zenon_H22d.
% 206.76/206.95  apply zenon_H22a. zenon_intro zenon_H4c.
% 206.76/206.95  apply (zenon_notallex_s (fun Y : zenon_U => ((~(r1 zenon_TX_cz Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))) zenon_H22e); [ zenon_intro zenon_H22f; idtac ].
% 206.76/206.95  elim zenon_H22f. zenon_intro zenon_TY_dp. zenon_intro zenon_H230.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H231). zenon_intro zenon_H234. zenon_intro zenon_H233.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H233). zenon_intro zenon_H236. zenon_intro zenon_H235.
% 206.76/206.95  apply zenon_H232. zenon_intro zenon_H5c.
% 206.76/206.95  apply (zenon_notallex_s (fun X : zenon_U => ((~(r1 zenon_TY_dp X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))) zenon_H236); [ zenon_intro zenon_H237; idtac ].
% 206.76/206.95  elim zenon_H237. zenon_intro zenon_TX_ef. zenon_intro zenon_H238.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H238). zenon_intro zenon_H23a. zenon_intro zenon_H239.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H239). zenon_intro zenon_H23c. zenon_intro zenon_H23b.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H23b). zenon_intro zenon_H23e. zenon_intro zenon_H23d.
% 206.76/206.95  apply zenon_H23a. zenon_intro zenon_H6c.
% 206.76/206.95  apply (zenon_notallex_s (fun Y : zenon_U => ((~(r1 zenon_TX_ef Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))) zenon_H23e); [ zenon_intro zenon_H23f; idtac ].
% 206.76/206.95  elim zenon_H23f. zenon_intro zenon_TY_ev. zenon_intro zenon_H240.
% 206.76/206.95  apply (zenon_notor_s _ _ zenon_H240). zenon_intro zenon_H242. zenon_intro zenon_H241.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H241). zenon_intro zenon_H244. zenon_intro zenon_H243.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H243). zenon_intro zenon_H246. zenon_intro zenon_H245.
% 206.76/206.96  apply zenon_H242. zenon_intro zenon_H7c.
% 206.76/206.96  apply (zenon_notallex_s (fun X : zenon_U => ((~(r1 zenon_TY_ev X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))) zenon_H246); [ zenon_intro zenon_H247; idtac ].
% 206.76/206.96  elim zenon_H247. zenon_intro zenon_TX_fl. zenon_intro zenon_H248.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H248). zenon_intro zenon_H24a. zenon_intro zenon_H249.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H249). zenon_intro zenon_H24c. zenon_intro zenon_H24b.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H24b). zenon_intro zenon_H24e. zenon_intro zenon_H24d.
% 206.76/206.96  apply zenon_H24a. zenon_intro zenon_H8c.
% 206.76/206.96  apply (zenon_notallex_s (fun Y : zenon_U => ((~(r1 zenon_TX_fl Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))) zenon_H24e); [ zenon_intro zenon_H24f; idtac ].
% 206.76/206.96  elim zenon_H24f. zenon_intro zenon_TY_gb. zenon_intro zenon_H250.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H250). zenon_intro zenon_H252. zenon_intro zenon_H251.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H251). zenon_intro zenon_H254. zenon_intro zenon_H253.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H253). zenon_intro zenon_H256. zenon_intro zenon_H255.
% 206.76/206.96  apply zenon_H252. zenon_intro zenon_H9c.
% 206.76/206.96  apply (zenon_notallex_s (fun X : zenon_U => ((~(r1 zenon_TY_gb X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))) zenon_H256); [ zenon_intro zenon_H257; idtac ].
% 206.76/206.96  elim zenon_H257. zenon_intro zenon_TX_gt. zenon_intro zenon_H258.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H258). zenon_intro zenon_Hb6. zenon_intro zenon_H259.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H259). zenon_intro zenon_H25b. zenon_intro zenon_H25a.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H25a). zenon_intro zenon_H25d. zenon_intro zenon_H25c.
% 206.76/206.96  apply zenon_Hb6. zenon_intro zenon_Hab.
% 206.76/206.96  apply (zenon_notallex_s (fun Y : zenon_U => ((~(r1 zenon_TX_gt Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))) zenon_H25d); [ zenon_intro zenon_H25e; idtac ].
% 206.76/206.96  elim zenon_H25e. zenon_intro zenon_TY_gs. zenon_intro zenon_H25f.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H25f). zenon_intro zenon_H261. zenon_intro zenon_H260.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H260). zenon_intro zenon_H263. zenon_intro zenon_H262.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H262). zenon_intro zenon_H265. zenon_intro zenon_H264.
% 206.76/206.96  apply zenon_H261. zenon_intro zenon_Had.
% 206.76/206.96  apply (zenon_notallex_s (fun X : zenon_U => ((~(r1 zenon_TY_gs X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))) zenon_H265); [ zenon_intro zenon_H266; idtac ].
% 206.76/206.96  elim zenon_H266. zenon_intro zenon_TX_ho. zenon_intro zenon_H267.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H267). zenon_intro zenon_H269. zenon_intro zenon_H268.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H268). zenon_intro zenon_H26b. zenon_intro zenon_H26a.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H26a). zenon_intro zenon_H26d. zenon_intro zenon_H26c.
% 206.76/206.96  apply zenon_H269. zenon_intro zenon_Hc0.
% 206.76/206.96  apply (zenon_notallex_s (fun Y : zenon_U => ((~(r1 zenon_TX_ho Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))) zenon_H26d); [ zenon_intro zenon_H26e; idtac ].
% 206.76/206.96  elim zenon_H26e. zenon_intro zenon_TY_hn. zenon_intro zenon_H26f.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H26f). zenon_intro zenon_H271. zenon_intro zenon_H270.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H270). zenon_intro zenon_H273. zenon_intro zenon_H272.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H272). zenon_intro zenon_H275. zenon_intro zenon_H274.
% 206.76/206.96  apply zenon_H271. zenon_intro zenon_Hc2.
% 206.76/206.96  apply (zenon_notallex_s (fun X : zenon_U => ((~(r1 zenon_TY_hn X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))) zenon_H275); [ zenon_intro zenon_H276; idtac ].
% 206.76/206.96  elim zenon_H276. zenon_intro zenon_TX_is. zenon_intro zenon_H277.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H277). zenon_intro zenon_H279. zenon_intro zenon_H278.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H278). zenon_intro zenon_H27b. zenon_intro zenon_H27a.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H27a). zenon_intro zenon_H27d. zenon_intro zenon_H27c.
% 206.76/206.96  apply zenon_H279. zenon_intro zenon_He1.
% 206.76/206.96  apply (zenon_notallex_s (fun Y : zenon_U => ((~(r1 zenon_TX_is Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))) zenon_H27d); [ zenon_intro zenon_H27e; idtac ].
% 206.76/206.96  elim zenon_H27e. zenon_intro zenon_TY_ji. zenon_intro zenon_H27f.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H27f). zenon_intro zenon_H281. zenon_intro zenon_H280.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H280). zenon_intro zenon_H283. zenon_intro zenon_H282.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H282). zenon_intro zenon_H285. zenon_intro zenon_H284.
% 206.76/206.96  apply zenon_H281. zenon_intro zenon_Hf1.
% 206.76/206.96  apply (zenon_notallex_s (fun X : zenon_U => ((~(r1 zenon_TY_ji X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))) zenon_H285); [ zenon_intro zenon_H286; idtac ].
% 206.76/206.96  elim zenon_H286. zenon_intro zenon_TX_jy. zenon_intro zenon_H287.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H287). zenon_intro zenon_H289. zenon_intro zenon_H288.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H288). zenon_intro zenon_H28b. zenon_intro zenon_H28a.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H28a). zenon_intro zenon_H28d. zenon_intro zenon_H28c.
% 206.76/206.96  apply zenon_H289. zenon_intro zenon_H101.
% 206.76/206.96  apply (zenon_notallex_s (fun Y : zenon_U => ((~(r1 zenon_TX_jy Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))\/(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))) zenon_H28d); [ zenon_intro zenon_H28e; idtac ].
% 206.76/206.96  elim zenon_H28e. zenon_intro zenon_TY_ko. zenon_intro zenon_H28f.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H28f). zenon_intro zenon_H291. zenon_intro zenon_H290.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H290). zenon_intro zenon_H293. zenon_intro zenon_H292.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H292). zenon_intro zenon_H295. zenon_intro zenon_H294.
% 206.76/206.96  apply zenon_H291. zenon_intro zenon_H111.
% 206.76/206.96  apply (zenon_notallex_s (fun X : zenon_U => ((~(r1 zenon_TY_ko X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))) zenon_H295); [ zenon_intro zenon_H296; idtac ].
% 206.76/206.96  elim zenon_H296. zenon_intro zenon_TX_zn. zenon_intro zenon_H298.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H298). zenon_intro zenon_H29a. zenon_intro zenon_H299.
% 206.76/206.96  apply (zenon_notor_s _ _ zenon_H299). zenon_intro zenon_H29c. zenon_intro zenon_H29b.
% 206.76/206.96  apply zenon_H29a. zenon_intro zenon_H29d.
% 206.76/206.96  apply (zenon_notand_s _ _ zenon_H1fa); [ zenon_intro zenon_H29f | zenon_intro zenon_H29e ].
% 206.76/206.96  exact (zenon_H29f zenon_H12c).
% 206.76/206.96  apply (zenon_notand_s _ _ zenon_H29e); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2a0 ].
% 206.76/206.96  apply zenon_H2a1. zenon_intro zenon_H2a2.
% 206.76/206.96  generalize (zenon_H2a2 zenon_TY_gb). zenon_intro zenon_H2a3.
% 206.76/206.96  apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H9b | zenon_intro zenon_H2a4 ].
% 206.76/206.96  apply (zenon_L10_ zenon_TY_gb zenon_TX_fl zenon_TY_i zenon_TX_j zenon_TY_bd zenon_TX_h zenon_TY_cj zenon_TX_bt zenon_TY_dp zenon_TX_cz zenon_TY_ev zenon_TX_ef); trivial.
% 206.76/206.96  generalize (zenon_H2a4 zenon_TX_zn). zenon_intro zenon_H2a5.
% 206.76/206.96  apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ].
% 206.76/206.96  elim (classic ((~(zenon_TY_gb = zenon_TY_ko))/\(~(r1 zenon_TY_gb zenon_TY_ko)))); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2a9 ].
% 206.76/206.96  apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H110.
% 206.76/206.96  apply (zenon_L16_ zenon_TY_ko zenon_TX_jy zenon_TY_gb zenon_TY_gs zenon_TX_gt zenon_TY_hn zenon_TX_ho zenon_TY_ji zenon_TX_is); trivial.
% 206.76/206.96  cut ((r1 zenon_TY_ko zenon_TX_zn) = (r1 zenon_TY_gb zenon_TX_zn)).
% 206.76/206.96  intro zenon_D_pnotp.
% 206.76/206.96  apply zenon_H2a7.
% 206.76/206.96  rewrite <- zenon_D_pnotp.
% 206.76/206.96  exact zenon_H29d.
% 206.76/206.96  cut ((zenon_TX_zn = zenon_TX_zn)); [idtac | apply NNPP; zenon_intro zenon_H2ab].
% 206.76/206.96  cut ((zenon_TY_ko = zenon_TY_gb)); [idtac | apply NNPP; zenon_intro zenon_H2ac].
% 206.76/206.96  congruence.
% 206.76/206.96  apply (zenon_notand_s _ _ zenon_H2a9); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2ad ].
% 206.76/206.96  apply zenon_H2ae. zenon_intro zenon_H2af.
% 206.76/206.96  elim (classic (zenon_TY_gb = zenon_TY_gb)); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Ha1 ].
% 206.76/206.96  cut ((zenon_TY_gb = zenon_TY_gb) = (zenon_TY_ko = zenon_TY_gb)).
% 206.76/206.96  intro zenon_D_pnotp.
% 206.76/206.96  apply zenon_H2ac.
% 206.76/206.96  rewrite <- zenon_D_pnotp.
% 206.76/206.96  exact zenon_Hb9.
% 206.76/206.96  cut ((zenon_TY_gb = zenon_TY_gb)); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 206.76/206.96  cut ((zenon_TY_gb = zenon_TY_ko)); [idtac | apply NNPP; zenon_intro zenon_H2aa].
% 206.76/206.96  congruence.
% 206.76/206.96  exact (zenon_H2aa zenon_H2af).
% 206.76/206.96  apply zenon_Ha1. apply refl_equal.
% 206.76/206.96  apply zenon_Ha1. apply refl_equal.
% 206.76/206.96  apply zenon_H2ad. zenon_intro zenon_H11e.
% 206.76/206.96  generalize (zenon_H4 zenon_TY_gb). zenon_intro zenon_Hba.
% 206.76/206.96  generalize (zenon_Hba zenon_TY_ko). zenon_intro zenon_H2b0.
% 206.76/206.96  generalize (zenon_H2b0 zenon_TX_zn). zenon_intro zenon_H2b1.
% 206.82/207.02  apply (zenon_imply_s _ _ zenon_H2b1); [ zenon_intro zenon_H110 | zenon_intro zenon_H2b2 ].
% 206.82/207.02  exact (zenon_H110 zenon_H11e).
% 206.82/207.02  apply (zenon_imply_s _ _ zenon_H2b2); [ zenon_intro zenon_H2b4 | zenon_intro zenon_H2b3 ].
% 206.82/207.02  exact (zenon_H2b4 zenon_H29d).
% 206.82/207.02  exact (zenon_H2a7 zenon_H2b3).
% 206.82/207.02  apply zenon_H2ab. apply refl_equal.
% 206.82/207.02  apply (zenon_notand_s _ _ zenon_H2a6); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H2b5 ].
% 206.82/207.02  exact (zenon_H2b6 zenon_H29c).
% 206.82/207.02  exact (zenon_H2b5 zenon_H29b).
% 206.82/207.02  exact (zenon_H2a0 zenon_H130).
% 206.82/207.02  apply zenon_H120. zenon_intro zenon_Tx_bat. apply NNPP. zenon_intro zenon_H2b8.
% 206.82/207.02  apply zenon_H2b8. zenon_intro zenon_Ty_bav. apply NNPP. zenon_intro zenon_H2ba.
% 206.82/207.02  apply zenon_H2ba. zenon_intro zenon_Tz_bax. apply NNPP. zenon_intro zenon_H2bc.
% 206.82/207.02  apply (zenon_notimply_s _ _ zenon_H2bc). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 206.82/207.02  apply (zenon_notimply_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 206.82/207.02  generalize (transitivity zenon_Tx_bat). zenon_intro zenon_H2c1.
% 206.82/207.02  generalize (zenon_H2c1 zenon_Ty_bav). zenon_intro zenon_H2c2.
% 206.82/207.02  generalize (zenon_H2c2 zenon_Tz_bax). zenon_intro zenon_H2c3.
% 206.82/207.02  apply (zenon_imply_s _ _ zenon_H2c3); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H2c4 ].
% 206.82/207.02  apply (zenon_notand_s _ _ zenon_H2c5); [ zenon_intro zenon_H2c7 | zenon_intro zenon_H2c6 ].
% 206.82/207.02  exact (zenon_H2c7 zenon_H2be).
% 206.82/207.02  exact (zenon_H2c6 zenon_H2c0).
% 206.82/207.02  exact (zenon_H2bf zenon_H2c4).
% 206.82/207.02  Qed.
% 206.82/207.02  % SZS output end Proof
% 206.82/207.02  (* END-PROOF *)
% 206.82/207.02  nodes searched: 3432149
% 206.82/207.02  max branch formulas: 346383
% 206.82/207.02  proof nodes created: 273476
% 206.82/207.02  formulas created: 8726189
% 206.82/207.02  
%------------------------------------------------------------------------------