TSTP Solution File: LCL636+1.005 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : LCL636+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n013.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 16:22:47 EDT 2022
% Result : Theorem 93.05s 93.24s
% Output : Proof 93.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : LCL636+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : run_zenon %s %d
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 2 21:14:29 EDT 2022
% 0.12/0.35 % CPUTime :
% 93.05/93.24 (* PROOF-FOUND *)
% 93.05/93.24 % SZS status Theorem
% 93.05/93.24 (* BEGIN-PROOF *)
% 93.05/93.24 % SZS output start Proof
% 93.05/93.24 Theorem main : (~(exists X : zenon_U, (~((~(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))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p3 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))\/(forall Y : zenon_U, ((~(r1 X Y))\/((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 Y))/\(p104 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 Y))/\(p103 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 Y))/\(p102 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 Y))/\(p101 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 Y))))\/(~(p105 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 Y))))\/(~(p104 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 Y))))\/(~(p103 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 Y))))\/(~(p102 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p105 Y)\/(~(p106 Y)))/\(((p104 Y)\/(~(p105 Y)))/\(((p103 Y)\/(~(p104 Y)))/\(((p102 Y)\/(~(p103 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 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))\/((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p6 Y))/\((~(p106 Y))/\(p105 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p6 Y)/\((~(p106 Y))/\(p105 Y))))))))\/(~((~(p105 X))/\(p104 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p5 Y))/\((~(p105 Y))/\(p104 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p5 Y)/\((~(p105 Y))/\(p104 Y))))))))\/(~((~(p104 X))/\(p103 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p4 Y))/\((~(p104 Y))/\(p103 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p4 Y)/\((~(p104 Y))/\(p103 Y))))))))\/(~((~(p103 X))/\(p102 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p3 Y))/\((~(p103 Y))/\(p102 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p3 Y)/\((~(p103 Y))/\(p102 Y))))))))\/(~((~(p102 X))/\(p101 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p2 Y))/\((~(p102 Y))/\(p101 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p2 Y)/\((~(p102 Y))/\(p101 Y))))))))\/(~((~(p101 X))/\(p100 X))))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p6 Y))\/(~(p105 Y)))))\/(p6 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p6 Y)\/(~(p105 Y)))))\/(~(p6 X))))\/(~(p105 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p5 Y))\/(~(p104 Y)))))\/(p5 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p5 Y)\/(~(p104 Y)))))\/(~(p5 X))))\/(~(p104 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p4 Y))\/(~(p103 Y)))))\/(p4 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p4 Y)\/(~(p103 Y)))))\/(~(p4 X))))\/(~(p103 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p3 Y))\/(~(p102 Y)))))\/(p3 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p3 Y)\/(~(p102 Y)))))\/(~(p3 X))))\/(~(p102 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p2 Y))\/(~(p101 Y)))))\/(p2 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(p101 Y)))))\/(~(p2 X))))\/(~(p101 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p1 Y))\/(~(p100 Y)))))\/(p1 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p1 Y)\/(~(p100 Y)))))\/(~(p1 X))))\/(~(p100 X)))/\(((p105 X)\/(~(p106 X)))/\(((p104 X)\/(~(p105 X)))/\(((p103 X)\/(~(p104 X)))/\(((p102 X)\/(~(p103 X)))/\(((p101 X)\/(~(p102 X)))/\((p100 X)\/(~(p101 X)))))))))))))))))))))))))))/\((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))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 Y))/\(p104 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 Y))/\(p103 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 Y))/\(p102 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 Y))/\(p101 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 Y))))\/(~(p105 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 Y))))\/(~(p104 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 Y))))\/(~(p103 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 Y))))\/(~(p102 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p105 Y)\/(~(p106 Y)))/\(((p104 Y)\/(~(p105 Y)))/\(((p103 Y)\/(~(p104 Y)))/\(((p102 Y)\/(~(p103 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 Y)))))))))))))))))))))))))/\((forall Y : zenon_U, ((~(r1 X Y))\/(forall X : zenon_U, ((~(r1 Y X))\/((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p6 Y))/\((~(p106 Y))/\(p105 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p6 Y)/\((~(p106 Y))/\(p105 Y))))))))\/(~((~(p105 X))/\(p104 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p5 Y))/\((~(p105 Y))/\(p104 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p5 Y)/\((~(p105 Y))/\(p104 Y))))))))\/(~((~(p104 X))/\(p103 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p4 Y))/\((~(p104 Y))/\(p103 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p4 Y)/\((~(p104 Y))/\(p103 Y))))))))\/(~((~(p103 X))/\(p102 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p3 Y))/\((~(p103 Y))/\(p102 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p3 Y)/\((~(p103 Y))/\(p102 Y))))))))\/(~((~(p102 X))/\(p101 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p2 Y))/\((~(p102 Y))/\(p101 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p2 Y)/\((~(p102 Y))/\(p101 Y))))))))\/(~((~(p101 X))/\(p100 X))))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p6 Y))\/(~(p105 Y)))))\/(p6 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p6 Y)\/(~(p105 Y)))))\/(~(p6 X))))\/(~(p105 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p5 Y))\/(~(p104 Y)))))\/(p5 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p5 Y)\/(~(p104 Y)))))\/(~(p5 X))))\/(~(p104 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p4 Y))\/(~(p103 Y)))))\/(p4 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p4 Y)\/(~(p103 Y)))))\/(~(p4 X))))\/(~(p103 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p3 Y))\/(~(p102 Y)))))\/(p3 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p3 Y)\/(~(p102 Y)))))\/(~(p3 X))))\/(~(p102 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p2 Y))\/(~(p101 Y)))))\/(p2 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(p101 Y)))))\/(~(p2 X))))\/(~(p101 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p1 Y))\/(~(p100 Y)))))\/(p1 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p1 Y)\/(~(p100 Y)))))\/(~(p1 X))))\/(~(p100 X)))/\(((p105 X)\/(~(p106 X)))/\(((p104 X)\/(~(p105 X)))/\(((p103 X)\/(~(p104 X)))/\(((p102 X)\/(~(p103 X)))/\(((p101 X)\/(~(p102 X)))/\((p100 X)\/(~(p101 X)))))))))))))))))))))))/\((forall Y : zenon_U, ((~(r1 X Y))\/((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 Y))/\(p104 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 Y))/\(p103 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 Y))/\(p102 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 Y))/\(p101 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 Y))))\/(~(p105 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 Y))))\/(~(p104 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 Y))))\/(~(p103 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 Y))))\/(~(p102 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p105 Y)\/(~(p106 Y)))/\(((p104 Y)\/(~(p105 Y)))/\(((p103 Y)\/(~(p104 Y)))/\(((p102 Y)\/(~(p103 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 Y)))))))))))))))))))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p6 Y))/\((~(p106 Y))/\(p105 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p6 Y)/\((~(p106 Y))/\(p105 Y))))))))\/(~((~(p105 X))/\(p104 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p5 Y))/\((~(p105 Y))/\(p104 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p5 Y)/\((~(p105 Y))/\(p104 Y))))))))\/(~((~(p104 X))/\(p103 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p4 Y))/\((~(p104 Y))/\(p103 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p4 Y)/\((~(p104 Y))/\(p103 Y))))))))\/(~((~(p103 X))/\(p102 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p3 Y))/\((~(p103 Y))/\(p102 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p3 Y)/\((~(p103 Y))/\(p102 Y))))))))\/(~((~(p102 X))/\(p101 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p2 Y))/\((~(p102 Y))/\(p101 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p2 Y)/\((~(p102 Y))/\(p101 Y))))))))\/(~((~(p101 X))/\(p100 X))))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p6 Y))\/(~(p105 Y)))))\/(p6 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p6 Y)\/(~(p105 Y)))))\/(~(p6 X))))\/(~(p105 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p5 Y))\/(~(p104 Y)))))\/(p5 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p5 Y)\/(~(p104 Y)))))\/(~(p5 X))))\/(~(p104 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p4 Y))\/(~(p103 Y)))))\/(p4 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p4 Y)\/(~(p103 Y)))))\/(~(p4 X))))\/(~(p103 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p3 Y))\/(~(p102 Y)))))\/(p3 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p3 Y)\/(~(p102 Y)))))\/(~(p3 X))))\/(~(p102 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p2 Y))\/(~(p101 Y)))))\/(p2 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(p101 Y)))))\/(~(p2 X))))\/(~(p101 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p1 Y))\/(~(p100 Y)))))\/(p1 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p1 Y)\/(~(p100 Y)))))\/(~(p1 X))))\/(~(p100 X)))/\(((p105 X)\/(~(p106 X)))/\(((p104 X)\/(~(p105 X)))/\(((p103 X)\/(~(p104 X)))/\(((p102 X)\/(~(p103 X)))/\(((p101 X)\/(~(p102 X)))/\(((p100 X)\/(~(p101 X)))/\((~(p101 X))/\(p100 X))))))))))))))))))))))))))))).
% 93.05/93.24 Proof.
% 93.05/93.24 assert (zenon_L1_ : forall (zenon_TX_e : zenon_U) (zenon_TX_f : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_f Y))\/(p3 Y))) -> (r1 zenon_TX_f zenon_TX_e) -> (~(p3 zenon_TX_e)) -> False).
% 93.05/93.24 do 2 intro. intros zenon_H1 zenon_H2 zenon_H3.
% 93.05/93.24 generalize (zenon_H1 zenon_TX_e). zenon_intro zenon_H6.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H6); [ zenon_intro zenon_H8 | zenon_intro zenon_H7 ].
% 93.05/93.24 exact (zenon_H8 zenon_H2).
% 93.05/93.24 exact (zenon_H3 zenon_H7).
% 93.05/93.24 (* end of lemma zenon_L1_ *)
% 93.05/93.24 assert (zenon_L2_ : forall (zenon_TX_e : zenon_U) (zenon_TX_f : zenon_U) (zenon_TX_l : zenon_U), (forall X : zenon_U, ((~(r1 zenon_TX_l X))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p3 Y))))) -> (r1 zenon_TX_l zenon_TX_f) -> (r1 zenon_TX_f zenon_TX_e) -> (~(p3 zenon_TX_e)) -> False).
% 93.05/93.24 do 3 intro. intros zenon_H9 zenon_Ha zenon_H2 zenon_H3.
% 93.05/93.24 generalize (zenon_H9 zenon_TX_f). zenon_intro zenon_Hc.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_Hc); [ zenon_intro zenon_Hd | zenon_intro zenon_H1 ].
% 93.05/93.24 exact (zenon_Hd zenon_Ha).
% 93.05/93.24 apply (zenon_L1_ zenon_TX_e zenon_TX_f); trivial.
% 93.05/93.24 (* end of lemma zenon_L2_ *)
% 93.05/93.24 assert (zenon_L3_ : forall (zenon_TX_e : zenon_U) (zenon_TX_f : zenon_U) (zenon_TX_l : zenon_U) (zenon_TX_q : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_q Y))\/(forall X : zenon_U, ((~(r1 Y X))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p3 Y))))))) -> (r1 zenon_TX_q zenon_TX_l) -> (r1 zenon_TX_l zenon_TX_f) -> (r1 zenon_TX_f zenon_TX_e) -> (~(p3 zenon_TX_e)) -> False).
% 93.05/93.24 do 4 intro. intros zenon_He zenon_Hf zenon_Ha zenon_H2 zenon_H3.
% 93.05/93.24 generalize (zenon_He zenon_TX_l). zenon_intro zenon_H11.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H12 | zenon_intro zenon_H9 ].
% 93.05/93.24 exact (zenon_H12 zenon_Hf).
% 93.05/93.24 apply (zenon_L2_ zenon_TX_e zenon_TX_f zenon_TX_l); trivial.
% 93.05/93.24 (* end of lemma zenon_L3_ *)
% 93.05/93.24 assert (zenon_L4_ : forall (zenon_TX_e : zenon_U) (zenon_TX_f : zenon_U) (zenon_TX_l : zenon_U) (zenon_TX_q : zenon_U) (zenon_TY_w : zenon_U) (zenon_TX_x : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(p3 Y))))))))))) -> (r1 zenon_TX_x zenon_TY_w) -> (r1 zenon_TY_w zenon_TX_q) -> (r1 zenon_TX_q zenon_TX_l) -> (r1 zenon_TX_l zenon_TX_f) -> (r1 zenon_TX_f zenon_TX_e) -> (~(p3 zenon_TX_e)) -> False).
% 93.05/93.24 do 6 intro. intros zenon_H13 zenon_H14 zenon_H15 zenon_Hf zenon_Ha zenon_H2 zenon_H3.
% 93.05/93.24 generalize (zenon_H13 zenon_TY_w). zenon_intro zenon_H18.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ].
% 93.05/93.24 exact (zenon_H1a zenon_H14).
% 93.05/93.24 generalize (zenon_H19 zenon_TX_q). zenon_intro zenon_H1b.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H1b); [ zenon_intro zenon_H1c | zenon_intro zenon_He ].
% 93.05/93.24 exact (zenon_H1c zenon_H15).
% 93.05/93.24 apply (zenon_L3_ zenon_TX_e zenon_TX_f zenon_TX_l zenon_TX_q); trivial.
% 93.05/93.24 (* end of lemma zenon_L4_ *)
% 93.05/93.24 assert (zenon_L5_ : forall (zenon_TX_l : zenon_U) (zenon_TX_q : zenon_U) (zenon_TY_w : zenon_U) (zenon_TX_x : zenon_U) (zenon_TX_e : zenon_U) (zenon_TX_f : zenon_U), (forall X : zenon_U, ((~(r1 zenon_TX_f X))\/((~(p3 X))\/(~(p102 X))))) -> (r1 zenon_TX_f zenon_TX_e) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(p3 Y))))))))))) -> (r1 zenon_TX_x zenon_TY_w) -> (r1 zenon_TY_w zenon_TX_q) -> (r1 zenon_TX_q zenon_TX_l) -> (r1 zenon_TX_l zenon_TX_f) -> (p102 zenon_TX_e) -> False).
% 93.05/93.24 do 6 intro. intros zenon_H1d zenon_H2 zenon_H13 zenon_H14 zenon_H15 zenon_Hf zenon_Ha zenon_H1e.
% 93.05/93.24 generalize (zenon_H1d zenon_TX_e). zenon_intro zenon_H1f.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H8 | zenon_intro zenon_H20 ].
% 93.05/93.24 exact (zenon_H8 zenon_H2).
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H3 | zenon_intro zenon_H21 ].
% 93.05/93.24 apply (zenon_L4_ zenon_TX_e zenon_TX_f zenon_TX_l zenon_TX_q zenon_TY_w zenon_TX_x); trivial.
% 93.05/93.24 exact (zenon_H21 zenon_H1e).
% 93.05/93.24 (* end of lemma zenon_L5_ *)
% 93.05/93.24 assert (zenon_L6_ : forall (zenon_TX_x : zenon_U) (zenon_TY_w : zenon_U) (zenon_TX_q : zenon_U) (zenon_TX_f : zenon_U) (zenon_TX_l : zenon_U) (zenon_TX_e : zenon_U), ((p102 zenon_TX_e)\/(~(p103 zenon_TX_e))) -> (p103 zenon_TX_e) -> (r1 zenon_TX_l zenon_TX_f) -> (r1 zenon_TX_q zenon_TX_l) -> (r1 zenon_TY_w zenon_TX_q) -> (r1 zenon_TX_x zenon_TY_w) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(p3 Y))))))))))) -> (r1 zenon_TX_f zenon_TX_e) -> (forall X : zenon_U, ((~(r1 zenon_TX_f X))\/((~(p3 X))\/(~(p102 X))))) -> False).
% 93.05/93.24 do 6 intro. intros zenon_H22 zenon_H23 zenon_Ha zenon_Hf zenon_H15 zenon_H14 zenon_H13 zenon_H2 zenon_H1d.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H1e | zenon_intro zenon_H24 ].
% 93.05/93.24 apply (zenon_L5_ zenon_TX_l zenon_TX_q zenon_TY_w zenon_TX_x zenon_TX_e zenon_TX_f); trivial.
% 93.05/93.24 exact (zenon_H24 zenon_H23).
% 93.05/93.24 (* end of lemma zenon_L6_ *)
% 93.05/93.24 assert (zenon_L7_ : forall (zenon_TX_l : zenon_U) (zenon_TX_q : zenon_U) (zenon_TY_w : zenon_U) (zenon_TX_x : zenon_U) (zenon_TX_f : zenon_U) (zenon_TX_e : zenon_U), ((p103 zenon_TX_e)\/(~(p104 zenon_TX_e))) -> (p104 zenon_TX_e) -> (forall X : zenon_U, ((~(r1 zenon_TX_f X))\/((~(p3 X))\/(~(p102 X))))) -> (r1 zenon_TX_f zenon_TX_e) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(p3 Y))))))))))) -> (r1 zenon_TX_x zenon_TY_w) -> (r1 zenon_TY_w zenon_TX_q) -> (r1 zenon_TX_q zenon_TX_l) -> (r1 zenon_TX_l zenon_TX_f) -> ((p102 zenon_TX_e)\/(~(p103 zenon_TX_e))) -> False).
% 93.05/93.24 do 6 intro. intros zenon_H25 zenon_H26 zenon_H1d zenon_H2 zenon_H13 zenon_H14 zenon_H15 zenon_Hf zenon_Ha zenon_H22.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H23 | zenon_intro zenon_H27 ].
% 93.05/93.24 apply (zenon_L6_ zenon_TX_x zenon_TY_w zenon_TX_q zenon_TX_f zenon_TX_l zenon_TX_e); trivial.
% 93.05/93.24 exact (zenon_H27 zenon_H26).
% 93.05/93.24 (* end of lemma zenon_L7_ *)
% 93.05/93.24 assert (zenon_L8_ : forall (zenon_TX_x : zenon_U) (zenon_TY_w : zenon_U) (zenon_TX_q : zenon_U) (zenon_TX_f : zenon_U) (zenon_TX_l : zenon_U) (zenon_TX_e : zenon_U), ((((~(forall X : zenon_U, ((~(r1 zenon_TX_e X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TX_e X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 zenon_TX_e))/\(p104 zenon_TX_e))))/\((((~(forall X : zenon_U, ((~(r1 zenon_TX_e X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TX_e X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 zenon_TX_e))/\(p103 zenon_TX_e))))/\((((~(forall X : zenon_U, ((~(r1 zenon_TX_e X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TX_e X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 zenon_TX_e))/\(p102 zenon_TX_e))))/\((((~(forall X : zenon_U, ((~(r1 zenon_TX_e X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TX_e X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 zenon_TX_e))/\(p101 zenon_TX_e))))/\((((~(forall X : zenon_U, ((~(r1 zenon_TX_e X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TX_e X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 zenon_TX_e))/\(p100 zenon_TX_e))))/\(((((forall X : zenon_U, ((~(r1 zenon_TX_e X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 zenon_TX_e))/\((forall X : zenon_U, ((~(r1 zenon_TX_e X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 zenon_TX_e))))\/(~(p105 zenon_TX_e)))/\(((((forall X : zenon_U, ((~(r1 zenon_TX_e X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 zenon_TX_e))/\((forall X : zenon_U, ((~(r1 zenon_TX_e X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 zenon_TX_e))))\/(~(p104 zenon_TX_e)))/\(((((forall X : zenon_U, ((~(r1 zenon_TX_e X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 zenon_TX_e))/\((forall X : zenon_U, ((~(r1 zenon_TX_e X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 zenon_TX_e))))\/(~(p103 zenon_TX_e)))/\(((((forall X : zenon_U, ((~(r1 zenon_TX_e X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 zenon_TX_e))/\((forall X : zenon_U, ((~(r1 zenon_TX_e X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 zenon_TX_e))))\/(~(p102 zenon_TX_e)))/\(((((forall X : zenon_U, ((~(r1 zenon_TX_e X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 zenon_TX_e))/\((forall X : zenon_U, ((~(r1 zenon_TX_e X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 zenon_TX_e))))\/(~(p101 zenon_TX_e)))/\(((((forall X : zenon_U, ((~(r1 zenon_TX_e X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 zenon_TX_e))/\((forall X : zenon_U, ((~(r1 zenon_TX_e X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 zenon_TX_e))))\/(~(p100 zenon_TX_e)))/\(((p105 zenon_TX_e)\/(~(p106 zenon_TX_e)))/\(((p104 zenon_TX_e)\/(~(p105 zenon_TX_e)))/\(((p103 zenon_TX_e)\/(~(p104 zenon_TX_e)))/\(((p102 zenon_TX_e)\/(~(p103 zenon_TX_e)))/\(((p101 zenon_TX_e)\/(~(p102 zenon_TX_e)))/\((p100 zenon_TX_e)\/(~(p101 zenon_TX_e))))))))))))))))))) -> (p105 zenon_TX_e) -> (r1 zenon_TX_l zenon_TX_f) -> (r1 zenon_TX_q zenon_TX_l) -> (r1 zenon_TY_w zenon_TX_q) -> (r1 zenon_TX_x zenon_TY_w) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(p3 Y))))))))))) -> (r1 zenon_TX_f zenon_TX_e) -> (forall X : zenon_U, ((~(r1 zenon_TX_f X))\/((~(p3 X))\/(~(p102 X))))) -> False).
% 93.05/93.24 do 6 intro. intros zenon_H28 zenon_H29 zenon_Ha zenon_Hf zenon_H15 zenon_H14 zenon_H13 zenon_H2 zenon_H1d.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H33. zenon_intro zenon_H32.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H35. zenon_intro zenon_H34.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H37. zenon_intro zenon_H36.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H39. zenon_intro zenon_H38.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H3b. zenon_intro zenon_H3a.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3d. zenon_intro zenon_H3c.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H3f. zenon_intro zenon_H3e.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H25. zenon_intro zenon_H44.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H22. zenon_intro zenon_H45.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H26 | zenon_intro zenon_H46 ].
% 93.05/93.24 apply (zenon_L7_ zenon_TX_l zenon_TX_q zenon_TY_w zenon_TX_x zenon_TX_f zenon_TX_e); trivial.
% 93.05/93.24 exact (zenon_H46 zenon_H29).
% 93.05/93.24 (* end of lemma zenon_L8_ *)
% 93.05/93.24 assert (zenon_L9_ : forall (zenon_TX_l : zenon_U) (zenon_TX_q : zenon_U) (zenon_TY_w : zenon_U) (zenon_TX_x : zenon_U) (zenon_TX_e : zenon_U) (zenon_TX_f : zenon_U), (forall X : zenon_U, ((~(r1 zenon_TX_f X))\/((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p6 Y))/\((~(p106 Y))/\(p105 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p6 Y)/\((~(p106 Y))/\(p105 Y))))))))\/(~((~(p105 X))/\(p104 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p5 Y))/\((~(p105 Y))/\(p104 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p5 Y)/\((~(p105 Y))/\(p104 Y))))))))\/(~((~(p104 X))/\(p103 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p4 Y))/\((~(p104 Y))/\(p103 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p4 Y)/\((~(p104 Y))/\(p103 Y))))))))\/(~((~(p103 X))/\(p102 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p3 Y))/\((~(p103 Y))/\(p102 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p3 Y)/\((~(p103 Y))/\(p102 Y))))))))\/(~((~(p102 X))/\(p101 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p2 Y))/\((~(p102 Y))/\(p101 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p2 Y)/\((~(p102 Y))/\(p101 Y))))))))\/(~((~(p101 X))/\(p100 X))))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p6 Y))\/(~(p105 Y)))))\/(p6 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p6 Y)\/(~(p105 Y)))))\/(~(p6 X))))\/(~(p105 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p5 Y))\/(~(p104 Y)))))\/(p5 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p5 Y)\/(~(p104 Y)))))\/(~(p5 X))))\/(~(p104 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p4 Y))\/(~(p103 Y)))))\/(p4 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p4 Y)\/(~(p103 Y)))))\/(~(p4 X))))\/(~(p103 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p3 Y))\/(~(p102 Y)))))\/(p3 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p3 Y)\/(~(p102 Y)))))\/(~(p3 X))))\/(~(p102 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p2 Y))\/(~(p101 Y)))))\/(p2 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(p101 Y)))))\/(~(p2 X))))\/(~(p101 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p1 Y))\/(~(p100 Y)))))\/(p1 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p1 Y)\/(~(p100 Y)))))\/(~(p1 X))))\/(~(p100 X)))/\(((p105 X)\/(~(p106 X)))/\(((p104 X)\/(~(p105 X)))/\(((p103 X)\/(~(p104 X)))/\(((p102 X)\/(~(p103 X)))/\(((p101 X)\/(~(p102 X)))/\((p100 X)\/(~(p101 X))))))))))))))))))))) -> (r1 zenon_TX_f zenon_TX_e) -> (forall X : zenon_U, ((~(r1 zenon_TX_f X))\/((~(p3 X))\/(~(p102 X))))) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(p3 Y))))))))))) -> (r1 zenon_TX_x zenon_TY_w) -> (r1 zenon_TY_w zenon_TX_q) -> (r1 zenon_TX_q zenon_TX_l) -> (r1 zenon_TX_l zenon_TX_f) -> (p105 zenon_TX_e) -> False).
% 93.05/93.24 do 6 intro. intros zenon_H47 zenon_H2 zenon_H1d zenon_H13 zenon_H14 zenon_H15 zenon_Hf zenon_Ha zenon_H29.
% 93.05/93.24 generalize (zenon_H47 zenon_TX_e). zenon_intro zenon_H48.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H8 | zenon_intro zenon_H28 ].
% 93.05/93.24 exact (zenon_H8 zenon_H2).
% 93.05/93.24 apply (zenon_L8_ zenon_TX_x zenon_TY_w zenon_TX_q zenon_TX_f zenon_TX_l zenon_TX_e); trivial.
% 93.05/93.24 (* end of lemma zenon_L9_ *)
% 93.05/93.24 assert (zenon_L10_ : forall (zenon_TX_q : zenon_U) (zenon_TY_w : zenon_U) (zenon_TX_x : zenon_U) (zenon_TX_e : zenon_U) (zenon_TX_f : zenon_U) (zenon_TX_l : zenon_U), (forall X : zenon_U, ((~(r1 zenon_TX_l X))\/(forall Y : zenon_U, ((~(r1 X Y))\/((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 Y))/\(p104 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 Y))/\(p103 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 Y))/\(p102 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 Y))/\(p101 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 Y))))\/(~(p105 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 Y))))\/(~(p104 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 Y))))\/(~(p103 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 Y))))\/(~(p102 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p105 Y)\/(~(p106 Y)))/\(((p104 Y)\/(~(p105 Y)))/\(((p103 Y)\/(~(p104 Y)))/\(((p102 Y)\/(~(p103 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 Y))))))))))))))))))))))) -> (r1 zenon_TX_l zenon_TX_f) -> (r1 zenon_TX_f zenon_TX_e) -> (forall X : zenon_U, ((~(r1 zenon_TX_f X))\/((~(p3 X))\/(~(p102 X))))) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(p3 Y))))))))))) -> (r1 zenon_TX_x zenon_TY_w) -> (r1 zenon_TY_w zenon_TX_q) -> (r1 zenon_TX_q zenon_TX_l) -> (p105 zenon_TX_e) -> False).
% 93.05/93.24 do 6 intro. intros zenon_H49 zenon_Ha zenon_H2 zenon_H1d zenon_H13 zenon_H14 zenon_H15 zenon_Hf zenon_H29.
% 93.05/93.24 generalize (zenon_H49 zenon_TX_f). zenon_intro zenon_H4a.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_Hd | zenon_intro zenon_H47 ].
% 93.05/93.24 exact (zenon_Hd zenon_Ha).
% 93.05/93.24 apply (zenon_L9_ zenon_TX_l zenon_TX_q zenon_TY_w zenon_TX_x zenon_TX_e zenon_TX_f); trivial.
% 93.05/93.24 (* end of lemma zenon_L10_ *)
% 93.05/93.24 assert (zenon_L11_ : forall (zenon_TY_w : zenon_U) (zenon_TX_x : zenon_U) (zenon_TX_e : zenon_U) (zenon_TX_f : zenon_U) (zenon_TX_l : zenon_U) (zenon_TX_q : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_q Y))\/(forall X : zenon_U, ((~(r1 Y X))\/(forall Y : zenon_U, ((~(r1 X Y))\/((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 Y))/\(p104 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 Y))/\(p103 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 Y))/\(p102 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 Y))/\(p101 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 Y))))\/(~(p105 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 Y))))\/(~(p104 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 Y))))\/(~(p103 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 Y))))\/(~(p102 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p105 Y)\/(~(p106 Y)))/\(((p104 Y)\/(~(p105 Y)))/\(((p103 Y)\/(~(p104 Y)))/\(((p102 Y)\/(~(p103 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 Y))))))))))))))))))))))))) -> (r1 zenon_TX_q zenon_TX_l) -> (r1 zenon_TX_l zenon_TX_f) -> (r1 zenon_TX_f zenon_TX_e) -> (forall X : zenon_U, ((~(r1 zenon_TX_f X))\/((~(p3 X))\/(~(p102 X))))) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(p3 Y))))))))))) -> (r1 zenon_TX_x zenon_TY_w) -> (r1 zenon_TY_w zenon_TX_q) -> (p105 zenon_TX_e) -> False).
% 93.05/93.24 do 6 intro. intros zenon_H4b zenon_Hf zenon_Ha zenon_H2 zenon_H1d zenon_H13 zenon_H14 zenon_H15 zenon_H29.
% 93.05/93.24 generalize (zenon_H4b zenon_TX_l). zenon_intro zenon_H4c.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H12 | zenon_intro zenon_H49 ].
% 93.05/93.24 exact (zenon_H12 zenon_Hf).
% 93.05/93.24 apply (zenon_L10_ zenon_TX_q zenon_TY_w zenon_TX_x zenon_TX_e zenon_TX_f zenon_TX_l); trivial.
% 93.05/93.24 (* end of lemma zenon_L11_ *)
% 93.05/93.24 assert (zenon_L12_ : forall (zenon_TX_e : zenon_U) (zenon_TX_f : zenon_U) (zenon_TX_l : zenon_U) (zenon_TX_q : zenon_U) (zenon_TY_w : zenon_U) (zenon_TX_x : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 Y))/\(p104 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 Y))/\(p103 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 Y))/\(p102 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 Y))/\(p101 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 Y))))\/(~(p105 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 Y))))\/(~(p104 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 Y))))\/(~(p103 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 Y))))\/(~(p102 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p105 Y)\/(~(p106 Y)))/\(((p104 Y)\/(~(p105 Y)))/\(((p103 Y)\/(~(p104 Y)))/\(((p102 Y)\/(~(p103 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 Y))))))))))))))))))))))))))))) -> (r1 zenon_TX_x zenon_TY_w) -> (r1 zenon_TY_w zenon_TX_q) -> (r1 zenon_TX_q zenon_TX_l) -> (r1 zenon_TX_l zenon_TX_f) -> (r1 zenon_TX_f zenon_TX_e) -> (forall X : zenon_U, ((~(r1 zenon_TX_f X))\/((~(p3 X))\/(~(p102 X))))) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(p3 Y))))))))))) -> (p105 zenon_TX_e) -> False).
% 93.05/93.24 do 6 intro. intros zenon_H4d zenon_H14 zenon_H15 zenon_Hf zenon_Ha zenon_H2 zenon_H1d zenon_H13 zenon_H29.
% 93.05/93.24 generalize (zenon_H4d zenon_TY_w). zenon_intro zenon_H4e.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1a | zenon_intro zenon_H4f ].
% 93.05/93.24 exact (zenon_H1a zenon_H14).
% 93.05/93.24 generalize (zenon_H4f zenon_TX_q). zenon_intro zenon_H50.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H1c | zenon_intro zenon_H4b ].
% 93.05/93.24 exact (zenon_H1c zenon_H15).
% 93.05/93.24 apply (zenon_L11_ zenon_TY_w zenon_TX_x zenon_TX_e zenon_TX_f zenon_TX_l zenon_TX_q); trivial.
% 93.05/93.24 (* end of lemma zenon_L12_ *)
% 93.05/93.24 assert (zenon_L13_ : forall (zenon_TX_f : zenon_U) (zenon_TX_l : zenon_U), (forall X : zenon_U, ((~(r1 zenon_TX_l X))\/((~(p3 X))\/(~(p102 X))))) -> (r1 zenon_TX_l zenon_TX_f) -> (p3 zenon_TX_f) -> (p102 zenon_TX_f) -> False).
% 93.05/93.24 do 2 intro. intros zenon_H51 zenon_Ha zenon_H52 zenon_H53.
% 93.05/93.24 generalize (zenon_H51 zenon_TX_f). zenon_intro zenon_H54.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_Hd | zenon_intro zenon_H55 ].
% 93.05/93.24 exact (zenon_Hd zenon_Ha).
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H57 | zenon_intro zenon_H56 ].
% 93.05/93.24 exact (zenon_H57 zenon_H52).
% 93.05/93.24 exact (zenon_H56 zenon_H53).
% 93.05/93.24 (* end of lemma zenon_L13_ *)
% 93.05/93.24 assert (zenon_L14_ : forall (zenon_TY_w : zenon_U) (zenon_TX_q : zenon_U) (zenon_TX_x : zenon_U) (zenon_TX_e : zenon_U) (zenon_TX_l : zenon_U) (zenon_TX_f : zenon_U), ((forall X : zenon_U, ((~(r1 zenon_TX_f X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 zenon_TX_f)) -> (forall X : zenon_U, ((~(r1 zenon_TX_l X))\/((~(p3 X))\/(~(p102 X))))) -> (p103 zenon_TX_f) -> ((p102 zenon_TX_f)\/(~(p103 zenon_TX_f))) -> (p105 zenon_TX_e) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(p3 Y))))))))))) -> (r1 zenon_TX_f zenon_TX_e) -> (r1 zenon_TX_l zenon_TX_f) -> (r1 zenon_TX_q zenon_TX_l) -> (r1 zenon_TY_w zenon_TX_q) -> (r1 zenon_TX_x zenon_TY_w) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 Y))/\(p104 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 Y))/\(p103 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 Y))/\(p102 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 Y))/\(p101 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 Y))))\/(~(p105 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 Y))))\/(~(p104 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 Y))))\/(~(p103 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 Y))))\/(~(p102 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p105 Y)\/(~(p106 Y)))/\(((p104 Y)\/(~(p105 Y)))/\(((p103 Y)\/(~(p104 Y)))/\(((p102 Y)\/(~(p103 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 Y))))))))))))))))))))))))))))) -> False).
% 93.05/93.24 do 6 intro. intros zenon_H58 zenon_H51 zenon_H59 zenon_H5a zenon_H29 zenon_H13 zenon_H2 zenon_Ha zenon_Hf zenon_H15 zenon_H14 zenon_H4d.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H1d | zenon_intro zenon_H52 ].
% 93.05/93.24 apply (zenon_L12_ zenon_TX_e zenon_TX_f zenon_TX_l zenon_TX_q zenon_TY_w zenon_TX_x); trivial.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H53 | zenon_intro zenon_H5b ].
% 93.05/93.24 apply (zenon_L13_ zenon_TX_f zenon_TX_l); trivial.
% 93.05/93.24 exact (zenon_H5b zenon_H59).
% 93.05/93.24 (* end of lemma zenon_L14_ *)
% 93.05/93.24 assert (zenon_L15_ : forall (zenon_TX_f : zenon_U), ((p102 zenon_TX_f)\/(~(p103 zenon_TX_f))) -> (p103 zenon_TX_f) -> (~(p102 zenon_TX_f)) -> False).
% 93.05/93.24 do 1 intro. intros zenon_H5a zenon_H59 zenon_H56.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H53 | zenon_intro zenon_H5b ].
% 93.05/93.24 exact (zenon_H56 zenon_H53).
% 93.05/93.24 exact (zenon_H5b zenon_H59).
% 93.05/93.24 (* end of lemma zenon_L15_ *)
% 93.05/93.24 assert (zenon_L16_ : forall (zenon_TX_f : zenon_U), ((p103 zenon_TX_f)\/(~(p104 zenon_TX_f))) -> (p104 zenon_TX_f) -> (~(p102 zenon_TX_f)) -> ((p102 zenon_TX_f)\/(~(p103 zenon_TX_f))) -> False).
% 93.05/93.24 do 1 intro. intros zenon_H5c zenon_H5d zenon_H56 zenon_H5a.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H59 | zenon_intro zenon_H5e ].
% 93.05/93.24 apply (zenon_L15_ zenon_TX_f); trivial.
% 93.05/93.24 exact (zenon_H5e zenon_H5d).
% 93.05/93.24 (* end of lemma zenon_L16_ *)
% 93.05/93.24 assert (zenon_L17_ : forall (zenon_TX_l : zenon_U) (zenon_TX_q : zenon_U) (zenon_TY_w : zenon_U) (zenon_TX_x : zenon_U) (zenon_TX_f : zenon_U), ((((~(forall X : zenon_U, ((~(r1 zenon_TX_f X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TX_f X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 zenon_TX_f))/\(p104 zenon_TX_f))))/\((((~(forall X : zenon_U, ((~(r1 zenon_TX_f X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TX_f X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 zenon_TX_f))/\(p103 zenon_TX_f))))/\((((~(forall X : zenon_U, ((~(r1 zenon_TX_f X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TX_f X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 zenon_TX_f))/\(p102 zenon_TX_f))))/\((((~(forall X : zenon_U, ((~(r1 zenon_TX_f X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TX_f X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 zenon_TX_f))/\(p101 zenon_TX_f))))/\((((~(forall X : zenon_U, ((~(r1 zenon_TX_f X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TX_f X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 zenon_TX_f))/\(p100 zenon_TX_f))))/\(((((forall X : zenon_U, ((~(r1 zenon_TX_f X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 zenon_TX_f))/\((forall X : zenon_U, ((~(r1 zenon_TX_f X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 zenon_TX_f))))\/(~(p105 zenon_TX_f)))/\(((((forall X : zenon_U, ((~(r1 zenon_TX_f X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 zenon_TX_f))/\((forall X : zenon_U, ((~(r1 zenon_TX_f X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 zenon_TX_f))))\/(~(p104 zenon_TX_f)))/\(((((forall X : zenon_U, ((~(r1 zenon_TX_f X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 zenon_TX_f))/\((forall X : zenon_U, ((~(r1 zenon_TX_f X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 zenon_TX_f))))\/(~(p103 zenon_TX_f)))/\(((((forall X : zenon_U, ((~(r1 zenon_TX_f X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 zenon_TX_f))/\((forall X : zenon_U, ((~(r1 zenon_TX_f X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 zenon_TX_f))))\/(~(p102 zenon_TX_f)))/\(((((forall X : zenon_U, ((~(r1 zenon_TX_f X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 zenon_TX_f))/\((forall X : zenon_U, ((~(r1 zenon_TX_f X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 zenon_TX_f))))\/(~(p101 zenon_TX_f)))/\(((((forall X : zenon_U, ((~(r1 zenon_TX_f X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 zenon_TX_f))/\((forall X : zenon_U, ((~(r1 zenon_TX_f X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 zenon_TX_f))))\/(~(p100 zenon_TX_f)))/\(((p105 zenon_TX_f)\/(~(p106 zenon_TX_f)))/\(((p104 zenon_TX_f)\/(~(p105 zenon_TX_f)))/\(((p103 zenon_TX_f)\/(~(p104 zenon_TX_f)))/\(((p102 zenon_TX_f)\/(~(p103 zenon_TX_f)))/\(((p101 zenon_TX_f)\/(~(p102 zenon_TX_f)))/\((p100 zenon_TX_f)\/(~(p101 zenon_TX_f))))))))))))))))))) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 Y))/\(p104 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 Y))/\(p103 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 Y))/\(p102 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 Y))/\(p101 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 Y))))\/(~(p105 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 Y))))\/(~(p104 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 Y))))\/(~(p103 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 Y))))\/(~(p102 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p105 Y)\/(~(p106 Y)))/\(((p104 Y)\/(~(p105 Y)))/\(((p103 Y)\/(~(p104 Y)))/\(((p102 Y)\/(~(p103 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 Y))))))))))))))))))))))))))))) -> (r1 zenon_TX_x zenon_TY_w) -> (r1 zenon_TY_w zenon_TX_q) -> (r1 zenon_TX_q zenon_TX_l) -> (r1 zenon_TX_l zenon_TX_f) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(p3 Y))))))))))) -> (forall X : zenon_U, ((~(r1 zenon_TX_l X))\/((~(p3 X))\/(~(p102 X))))) -> (~(p105 zenon_TX_f)) -> (p104 zenon_TX_f) -> False).
% 93.05/93.24 do 5 intro. intros zenon_H5f zenon_H4d zenon_H14 zenon_H15 zenon_Hf zenon_Ha zenon_H13 zenon_H51 zenon_H60 zenon_H5d.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H66. zenon_intro zenon_H65.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H6c. zenon_intro zenon_H6b.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H6e. zenon_intro zenon_H6d.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H72. zenon_intro zenon_H71.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H74. zenon_intro zenon_H73.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H76. zenon_intro zenon_H75.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H5c. zenon_intro zenon_H7b.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H5a. zenon_intro zenon_H7c.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H7e | zenon_intro zenon_H7d ].
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H80. zenon_intro zenon_H7f.
% 93.05/93.24 apply (zenon_notallex_s (fun X : zenon_U => ((~(r1 zenon_TX_f X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))) zenon_H80); [ zenon_intro zenon_H81; idtac ].
% 93.05/93.24 elim zenon_H81. zenon_intro zenon_TX_e. zenon_intro zenon_H82.
% 93.05/93.24 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H84. zenon_intro zenon_H83.
% 93.05/93.24 apply zenon_H83. zenon_intro zenon_H85.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H87. zenon_intro zenon_H86.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H88. zenon_intro zenon_H29.
% 93.05/93.24 apply zenon_H84. zenon_intro zenon_H2.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H89 | zenon_intro zenon_H56 ].
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H58. zenon_intro zenon_H8a.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H59 | zenon_intro zenon_H5e ].
% 93.05/93.24 apply (zenon_L14_ zenon_TY_w zenon_TX_q zenon_TX_x zenon_TX_e zenon_TX_l zenon_TX_f); trivial.
% 93.05/93.24 exact (zenon_H5e zenon_H5d).
% 93.05/93.24 apply (zenon_L16_ zenon_TX_f); trivial.
% 93.05/93.24 apply (zenon_notand_s _ _ zenon_H7d); [ zenon_intro zenon_H8b | zenon_intro zenon_H5e ].
% 93.05/93.24 exact (zenon_H8b zenon_H60).
% 93.05/93.24 exact (zenon_H5e zenon_H5d).
% 93.05/93.24 (* end of lemma zenon_L17_ *)
% 93.05/93.24 assert (zenon_L18_ : forall (zenon_TY_w : zenon_U) (zenon_TX_q : zenon_U) (zenon_TX_x : zenon_U) (zenon_TX_f : zenon_U) (zenon_TX_l : zenon_U), (forall X : zenon_U, ((~(r1 zenon_TX_l X))\/((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p6 Y))/\((~(p106 Y))/\(p105 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p6 Y)/\((~(p106 Y))/\(p105 Y))))))))\/(~((~(p105 X))/\(p104 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p5 Y))/\((~(p105 Y))/\(p104 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p5 Y)/\((~(p105 Y))/\(p104 Y))))))))\/(~((~(p104 X))/\(p103 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p4 Y))/\((~(p104 Y))/\(p103 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p4 Y)/\((~(p104 Y))/\(p103 Y))))))))\/(~((~(p103 X))/\(p102 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p3 Y))/\((~(p103 Y))/\(p102 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p3 Y)/\((~(p103 Y))/\(p102 Y))))))))\/(~((~(p102 X))/\(p101 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p2 Y))/\((~(p102 Y))/\(p101 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p2 Y)/\((~(p102 Y))/\(p101 Y))))))))\/(~((~(p101 X))/\(p100 X))))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p6 Y))\/(~(p105 Y)))))\/(p6 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p6 Y)\/(~(p105 Y)))))\/(~(p6 X))))\/(~(p105 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p5 Y))\/(~(p104 Y)))))\/(p5 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p5 Y)\/(~(p104 Y)))))\/(~(p5 X))))\/(~(p104 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p4 Y))\/(~(p103 Y)))))\/(p4 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p4 Y)\/(~(p103 Y)))))\/(~(p4 X))))\/(~(p103 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p3 Y))\/(~(p102 Y)))))\/(p3 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p3 Y)\/(~(p102 Y)))))\/(~(p3 X))))\/(~(p102 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p2 Y))\/(~(p101 Y)))))\/(p2 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(p101 Y)))))\/(~(p2 X))))\/(~(p101 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p1 Y))\/(~(p100 Y)))))\/(p1 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p1 Y)\/(~(p100 Y)))))\/(~(p1 X))))\/(~(p100 X)))/\(((p105 X)\/(~(p106 X)))/\(((p104 X)\/(~(p105 X)))/\(((p103 X)\/(~(p104 X)))/\(((p102 X)\/(~(p103 X)))/\(((p101 X)\/(~(p102 X)))/\((p100 X)\/(~(p101 X))))))))))))))))))))) -> (r1 zenon_TX_l zenon_TX_f) -> (forall X : zenon_U, ((~(r1 zenon_TX_l X))\/((~(p3 X))\/(~(p102 X))))) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(p3 Y))))))))))) -> (r1 zenon_TX_q zenon_TX_l) -> (r1 zenon_TY_w zenon_TX_q) -> (r1 zenon_TX_x zenon_TY_w) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 Y))/\(p104 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 Y))/\(p103 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 Y))/\(p102 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 Y))/\(p101 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 Y))))\/(~(p105 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 Y))))\/(~(p104 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 Y))))\/(~(p103 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 Y))))\/(~(p102 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p105 Y)\/(~(p106 Y)))/\(((p104 Y)\/(~(p105 Y)))/\(((p103 Y)\/(~(p104 Y)))/\(((p102 Y)\/(~(p103 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 Y))))))))))))))))))))))))))))) -> (p104 zenon_TX_f) -> (~(p105 zenon_TX_f)) -> False).
% 93.05/93.24 do 5 intro. intros zenon_H8c zenon_Ha zenon_H51 zenon_H13 zenon_Hf zenon_H15 zenon_H14 zenon_H4d zenon_H5d zenon_H60.
% 93.05/93.24 generalize (zenon_H8c zenon_TX_f). zenon_intro zenon_H8d.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_Hd | zenon_intro zenon_H5f ].
% 93.05/93.24 exact (zenon_Hd zenon_Ha).
% 93.05/93.24 apply (zenon_L17_ zenon_TX_l zenon_TX_q zenon_TY_w zenon_TX_x zenon_TX_f); trivial.
% 93.05/93.24 (* end of lemma zenon_L18_ *)
% 93.05/93.24 assert (zenon_L19_ : forall (zenon_TY_w : zenon_U) (zenon_TX_x : zenon_U) (zenon_TX_f : zenon_U) (zenon_TX_l : zenon_U) (zenon_TX_q : zenon_U), (forall X : zenon_U, ((~(r1 zenon_TX_q X))\/(forall Y : zenon_U, ((~(r1 X Y))\/((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 Y))/\(p104 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 Y))/\(p103 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 Y))/\(p102 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 Y))/\(p101 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 Y))))\/(~(p105 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 Y))))\/(~(p104 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 Y))))\/(~(p103 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 Y))))\/(~(p102 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p105 Y)\/(~(p106 Y)))/\(((p104 Y)\/(~(p105 Y)))/\(((p103 Y)\/(~(p104 Y)))/\(((p102 Y)\/(~(p103 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 Y))))))))))))))))))))))) -> (r1 zenon_TX_q zenon_TX_l) -> (r1 zenon_TX_l zenon_TX_f) -> (forall X : zenon_U, ((~(r1 zenon_TX_l X))\/((~(p3 X))\/(~(p102 X))))) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(p3 Y))))))))))) -> (r1 zenon_TY_w zenon_TX_q) -> (r1 zenon_TX_x zenon_TY_w) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 Y))/\(p104 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 Y))/\(p103 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 Y))/\(p102 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 Y))/\(p101 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 Y))))\/(~(p105 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 Y))))\/(~(p104 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 Y))))\/(~(p103 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 Y))))\/(~(p102 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p105 Y)\/(~(p106 Y)))/\(((p104 Y)\/(~(p105 Y)))/\(((p103 Y)\/(~(p104 Y)))/\(((p102 Y)\/(~(p103 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 Y))))))))))))))))))))))))))))) -> (p104 zenon_TX_f) -> (~(p105 zenon_TX_f)) -> False).
% 93.05/93.24 do 5 intro. intros zenon_H8e zenon_Hf zenon_Ha zenon_H51 zenon_H13 zenon_H15 zenon_H14 zenon_H4d zenon_H5d zenon_H60.
% 93.05/93.24 generalize (zenon_H8e zenon_TX_l). zenon_intro zenon_H8f.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H12 | zenon_intro zenon_H8c ].
% 93.05/93.24 exact (zenon_H12 zenon_Hf).
% 93.05/93.24 apply (zenon_L18_ zenon_TY_w zenon_TX_q zenon_TX_x zenon_TX_f zenon_TX_l); trivial.
% 93.05/93.24 (* end of lemma zenon_L19_ *)
% 93.05/93.24 assert (zenon_L20_ : forall (zenon_TX_f : zenon_U) (zenon_TX_l : zenon_U) (zenon_TX_q : zenon_U) (zenon_TY_w : zenon_U) (zenon_TX_x : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(~((~(p6 Y))/\((~(p106 Y))/\(p105 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p6 Y)/\((~(p106 Y))/\(p105 Y))))))))\/(~((~(p105 X))/\(p104 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p5 Y))/\((~(p105 Y))/\(p104 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p5 Y)/\((~(p105 Y))/\(p104 Y))))))))\/(~((~(p104 X))/\(p103 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p4 Y))/\((~(p104 Y))/\(p103 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p4 Y)/\((~(p104 Y))/\(p103 Y))))))))\/(~((~(p103 X))/\(p102 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p3 Y))/\((~(p103 Y))/\(p102 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p3 Y)/\((~(p103 Y))/\(p102 Y))))))))\/(~((~(p102 X))/\(p101 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p2 Y))/\((~(p102 Y))/\(p101 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p2 Y)/\((~(p102 Y))/\(p101 Y))))))))\/(~((~(p101 X))/\(p100 X))))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p6 Y))\/(~(p105 Y)))))\/(p6 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p6 Y)\/(~(p105 Y)))))\/(~(p6 X))))\/(~(p105 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p5 Y))\/(~(p104 Y)))))\/(p5 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p5 Y)\/(~(p104 Y)))))\/(~(p5 X))))\/(~(p104 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p4 Y))\/(~(p103 Y)))))\/(p4 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p4 Y)\/(~(p103 Y)))))\/(~(p4 X))))\/(~(p103 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p3 Y))\/(~(p102 Y)))))\/(p3 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p3 Y)\/(~(p102 Y)))))\/(~(p3 X))))\/(~(p102 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p2 Y))\/(~(p101 Y)))))\/(p2 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(p101 Y)))))\/(~(p2 X))))\/(~(p101 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p1 Y))\/(~(p100 Y)))))\/(p1 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p1 Y)\/(~(p100 Y)))))\/(~(p1 X))))\/(~(p100 X)))/\(((p105 X)\/(~(p106 X)))/\(((p104 X)\/(~(p105 X)))/\(((p103 X)\/(~(p104 X)))/\(((p102 X)\/(~(p103 X)))/\(((p101 X)\/(~(p102 X)))/\((p100 X)\/(~(p101 X))))))))))))))))))))))))))) -> (r1 zenon_TX_x zenon_TY_w) -> (r1 zenon_TY_w zenon_TX_q) -> (r1 zenon_TX_q zenon_TX_l) -> (r1 zenon_TX_l zenon_TX_f) -> (forall X : zenon_U, ((~(r1 zenon_TX_l X))\/((~(p3 X))\/(~(p102 X))))) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(p3 Y))))))))))) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 Y))/\(p104 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 Y))/\(p103 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 Y))/\(p102 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 Y))/\(p101 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 Y))))\/(~(p105 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 Y))))\/(~(p104 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 Y))))\/(~(p103 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 Y))))\/(~(p102 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p105 Y)\/(~(p106 Y)))/\(((p104 Y)\/(~(p105 Y)))/\(((p103 Y)\/(~(p104 Y)))/\(((p102 Y)\/(~(p103 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 Y))))))))))))))))))))))))))))) -> (p104 zenon_TX_f) -> (~(p105 zenon_TX_f)) -> False).
% 93.05/93.24 do 5 intro. intros zenon_H90 zenon_H14 zenon_H15 zenon_Hf zenon_Ha zenon_H51 zenon_H13 zenon_H4d zenon_H5d zenon_H60.
% 93.05/93.24 generalize (zenon_H90 zenon_TY_w). zenon_intro zenon_H91.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1a | zenon_intro zenon_H92 ].
% 93.05/93.24 exact (zenon_H1a zenon_H14).
% 93.05/93.24 generalize (zenon_H92 zenon_TX_q). zenon_intro zenon_H93.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H1c | zenon_intro zenon_H8e ].
% 93.05/93.24 exact (zenon_H1c zenon_H15).
% 93.05/93.24 apply (zenon_L19_ zenon_TY_w zenon_TX_x zenon_TX_f zenon_TX_l zenon_TX_q); trivial.
% 93.05/93.24 (* end of lemma zenon_L20_ *)
% 93.05/93.24 assert (zenon_L21_ : forall (zenon_TX_l : zenon_U) (zenon_TX_q : zenon_U), (forall X : zenon_U, ((~(r1 zenon_TX_q X))\/((~(p3 X))\/(~(p102 X))))) -> (r1 zenon_TX_q zenon_TX_l) -> (p3 zenon_TX_l) -> (p102 zenon_TX_l) -> False).
% 93.05/93.24 do 2 intro. intros zenon_H94 zenon_Hf zenon_H95 zenon_H96.
% 93.05/93.24 generalize (zenon_H94 zenon_TX_l). zenon_intro zenon_H97.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H12 | zenon_intro zenon_H98 ].
% 93.05/93.24 exact (zenon_H12 zenon_Hf).
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ].
% 93.05/93.24 exact (zenon_H9a zenon_H95).
% 93.05/93.24 exact (zenon_H99 zenon_H96).
% 93.05/93.24 (* end of lemma zenon_L21_ *)
% 93.05/93.24 assert (zenon_L22_ : forall (zenon_TX_l : zenon_U), ((p102 zenon_TX_l)\/(~(p103 zenon_TX_l))) -> (p103 zenon_TX_l) -> (~(p102 zenon_TX_l)) -> False).
% 93.05/93.24 do 1 intro. intros zenon_H9b zenon_H9c zenon_H99.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 93.05/93.24 exact (zenon_H99 zenon_H96).
% 93.05/93.24 exact (zenon_H9d zenon_H9c).
% 93.05/93.24 (* end of lemma zenon_L22_ *)
% 93.05/93.24 assert (zenon_L23_ : forall (zenon_TY_w : zenon_U) (zenon_TX_x : zenon_U) (zenon_TX_q : zenon_U) (zenon_TX_l : zenon_U), ((((~(forall X : zenon_U, ((~(r1 zenon_TX_l X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TX_l X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 zenon_TX_l))/\(p104 zenon_TX_l))))/\((((~(forall X : zenon_U, ((~(r1 zenon_TX_l X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TX_l X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 zenon_TX_l))/\(p103 zenon_TX_l))))/\((((~(forall X : zenon_U, ((~(r1 zenon_TX_l X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TX_l X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 zenon_TX_l))/\(p102 zenon_TX_l))))/\((((~(forall X : zenon_U, ((~(r1 zenon_TX_l X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TX_l X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 zenon_TX_l))/\(p101 zenon_TX_l))))/\((((~(forall X : zenon_U, ((~(r1 zenon_TX_l X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TX_l X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 zenon_TX_l))/\(p100 zenon_TX_l))))/\(((((forall X : zenon_U, ((~(r1 zenon_TX_l X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 zenon_TX_l))/\((forall X : zenon_U, ((~(r1 zenon_TX_l X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 zenon_TX_l))))\/(~(p105 zenon_TX_l)))/\(((((forall X : zenon_U, ((~(r1 zenon_TX_l X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 zenon_TX_l))/\((forall X : zenon_U, ((~(r1 zenon_TX_l X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 zenon_TX_l))))\/(~(p104 zenon_TX_l)))/\(((((forall X : zenon_U, ((~(r1 zenon_TX_l X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 zenon_TX_l))/\((forall X : zenon_U, ((~(r1 zenon_TX_l X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 zenon_TX_l))))\/(~(p103 zenon_TX_l)))/\(((((forall X : zenon_U, ((~(r1 zenon_TX_l X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 zenon_TX_l))/\((forall X : zenon_U, ((~(r1 zenon_TX_l X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 zenon_TX_l))))\/(~(p102 zenon_TX_l)))/\(((((forall X : zenon_U, ((~(r1 zenon_TX_l X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 zenon_TX_l))/\((forall X : zenon_U, ((~(r1 zenon_TX_l X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 zenon_TX_l))))\/(~(p101 zenon_TX_l)))/\(((((forall X : zenon_U, ((~(r1 zenon_TX_l X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 zenon_TX_l))/\((forall X : zenon_U, ((~(r1 zenon_TX_l X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 zenon_TX_l))))\/(~(p100 zenon_TX_l)))/\(((p105 zenon_TX_l)\/(~(p106 zenon_TX_l)))/\(((p104 zenon_TX_l)\/(~(p105 zenon_TX_l)))/\(((p103 zenon_TX_l)\/(~(p104 zenon_TX_l)))/\(((p102 zenon_TX_l)\/(~(p103 zenon_TX_l)))/\(((p101 zenon_TX_l)\/(~(p102 zenon_TX_l)))/\((p100 zenon_TX_l)\/(~(p101 zenon_TX_l))))))))))))))))))) -> (forall X : zenon_U, ((~(r1 zenon_TX_q X))\/((~(p3 X))\/(~(p102 X))))) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 Y))/\(p104 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 Y))/\(p103 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 Y))/\(p102 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 Y))/\(p101 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 Y))))\/(~(p105 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 Y))))\/(~(p104 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 Y))))\/(~(p103 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 Y))))\/(~(p102 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p105 Y)\/(~(p106 Y)))/\(((p104 Y)\/(~(p105 Y)))/\(((p103 Y)\/(~(p104 Y)))/\(((p102 Y)\/(~(p103 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 Y))))))))))))))))))))))))))))) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(p3 Y))))))))))) -> (r1 zenon_TX_q zenon_TX_l) -> (r1 zenon_TY_w zenon_TX_q) -> (r1 zenon_TX_x zenon_TY_w) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(~((~(p6 Y))/\((~(p106 Y))/\(p105 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p6 Y)/\((~(p106 Y))/\(p105 Y))))))))\/(~((~(p105 X))/\(p104 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p5 Y))/\((~(p105 Y))/\(p104 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p5 Y)/\((~(p105 Y))/\(p104 Y))))))))\/(~((~(p104 X))/\(p103 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p4 Y))/\((~(p104 Y))/\(p103 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p4 Y)/\((~(p104 Y))/\(p103 Y))))))))\/(~((~(p103 X))/\(p102 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p3 Y))/\((~(p103 Y))/\(p102 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p3 Y)/\((~(p103 Y))/\(p102 Y))))))))\/(~((~(p102 X))/\(p101 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p2 Y))/\((~(p102 Y))/\(p101 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p2 Y)/\((~(p102 Y))/\(p101 Y))))))))\/(~((~(p101 X))/\(p100 X))))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p6 Y))\/(~(p105 Y)))))\/(p6 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p6 Y)\/(~(p105 Y)))))\/(~(p6 X))))\/(~(p105 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p5 Y))\/(~(p104 Y)))))\/(p5 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p5 Y)\/(~(p104 Y)))))\/(~(p5 X))))\/(~(p104 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p4 Y))\/(~(p103 Y)))))\/(p4 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p4 Y)\/(~(p103 Y)))))\/(~(p4 X))))\/(~(p103 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p3 Y))\/(~(p102 Y)))))\/(p3 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p3 Y)\/(~(p102 Y)))))\/(~(p3 X))))\/(~(p102 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p2 Y))\/(~(p101 Y)))))\/(p2 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(p101 Y)))))\/(~(p2 X))))\/(~(p101 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p1 Y))\/(~(p100 Y)))))\/(p1 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p1 Y)\/(~(p100 Y)))))\/(~(p1 X))))\/(~(p100 X)))/\(((p105 X)\/(~(p106 X)))/\(((p104 X)\/(~(p105 X)))/\(((p103 X)\/(~(p104 X)))/\(((p102 X)\/(~(p103 X)))/\(((p101 X)\/(~(p102 X)))/\((p100 X)\/(~(p101 X))))))))))))))))))))))))))) -> (~(p104 zenon_TX_l)) -> (p103 zenon_TX_l) -> False).
% 93.05/93.24 do 4 intro. intros zenon_H9e zenon_H94 zenon_H4d zenon_H13 zenon_Hf zenon_H15 zenon_H14 zenon_H90 zenon_H9f zenon_H9c.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_Ha1. zenon_intro zenon_Ha0.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Ha3. zenon_intro zenon_Ha2.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha4.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha6.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_Ha9. zenon_intro zenon_Ha8.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Hab. zenon_intro zenon_Haa.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_Had. zenon_intro zenon_Hac.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Haf. zenon_intro zenon_Hae.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hb7. zenon_intro zenon_Hb6.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_Hb9. zenon_intro zenon_Hb8.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hbb. zenon_intro zenon_Hba.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H9b. zenon_intro zenon_Hbc.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hbd ].
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hc0. zenon_intro zenon_Hbf.
% 93.05/93.24 apply (zenon_notallex_s (fun X : zenon_U => ((~(r1 zenon_TX_l X))\/(~((p5 X)/\((~(p105 X))/\(p104 X)))))) zenon_Hbf); [ zenon_intro zenon_Hc1; idtac ].
% 93.05/93.24 elim zenon_Hc1. zenon_intro zenon_TX_f. zenon_intro zenon_Hc2.
% 93.05/93.24 apply (zenon_notor_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3.
% 93.05/93.24 apply zenon_Hc3. zenon_intro zenon_Hc5.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H60. zenon_intro zenon_H5d.
% 93.05/93.24 apply zenon_Hc4. zenon_intro zenon_Ha.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H99 ].
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H51 | zenon_intro zenon_H95 ].
% 93.05/93.24 apply (zenon_L20_ zenon_TX_f zenon_TX_l zenon_TX_q zenon_TY_w zenon_TX_x); trivial.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 93.05/93.24 apply (zenon_L21_ zenon_TX_l zenon_TX_q); trivial.
% 93.05/93.24 exact (zenon_H9d zenon_H9c).
% 93.05/93.24 apply (zenon_L22_ zenon_TX_l); trivial.
% 93.05/93.24 apply (zenon_notand_s _ _ zenon_Hbd); [ zenon_intro zenon_Hcb | zenon_intro zenon_H9d ].
% 93.05/93.24 exact (zenon_Hcb zenon_H9f).
% 93.05/93.24 exact (zenon_H9d zenon_H9c).
% 93.05/93.24 (* end of lemma zenon_L23_ *)
% 93.05/93.24 assert (zenon_L24_ : forall (zenon_TY_w : zenon_U) (zenon_TX_x : zenon_U) (zenon_TX_l : zenon_U) (zenon_TX_q : zenon_U), (forall X : zenon_U, ((~(r1 zenon_TX_q X))\/((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p6 Y))/\((~(p106 Y))/\(p105 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p6 Y)/\((~(p106 Y))/\(p105 Y))))))))\/(~((~(p105 X))/\(p104 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p5 Y))/\((~(p105 Y))/\(p104 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p5 Y)/\((~(p105 Y))/\(p104 Y))))))))\/(~((~(p104 X))/\(p103 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p4 Y))/\((~(p104 Y))/\(p103 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p4 Y)/\((~(p104 Y))/\(p103 Y))))))))\/(~((~(p103 X))/\(p102 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p3 Y))/\((~(p103 Y))/\(p102 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p3 Y)/\((~(p103 Y))/\(p102 Y))))))))\/(~((~(p102 X))/\(p101 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p2 Y))/\((~(p102 Y))/\(p101 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p2 Y)/\((~(p102 Y))/\(p101 Y))))))))\/(~((~(p101 X))/\(p100 X))))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p6 Y))\/(~(p105 Y)))))\/(p6 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p6 Y)\/(~(p105 Y)))))\/(~(p6 X))))\/(~(p105 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p5 Y))\/(~(p104 Y)))))\/(p5 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p5 Y)\/(~(p104 Y)))))\/(~(p5 X))))\/(~(p104 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p4 Y))\/(~(p103 Y)))))\/(p4 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p4 Y)\/(~(p103 Y)))))\/(~(p4 X))))\/(~(p103 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p3 Y))\/(~(p102 Y)))))\/(p3 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p3 Y)\/(~(p102 Y)))))\/(~(p3 X))))\/(~(p102 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p2 Y))\/(~(p101 Y)))))\/(p2 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(p101 Y)))))\/(~(p2 X))))\/(~(p101 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p1 Y))\/(~(p100 Y)))))\/(p1 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p1 Y)\/(~(p100 Y)))))\/(~(p1 X))))\/(~(p100 X)))/\(((p105 X)\/(~(p106 X)))/\(((p104 X)\/(~(p105 X)))/\(((p103 X)\/(~(p104 X)))/\(((p102 X)\/(~(p103 X)))/\(((p101 X)\/(~(p102 X)))/\((p100 X)\/(~(p101 X))))))))))))))))))))) -> (r1 zenon_TX_q zenon_TX_l) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(~((~(p6 Y))/\((~(p106 Y))/\(p105 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p6 Y)/\((~(p106 Y))/\(p105 Y))))))))\/(~((~(p105 X))/\(p104 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p5 Y))/\((~(p105 Y))/\(p104 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p5 Y)/\((~(p105 Y))/\(p104 Y))))))))\/(~((~(p104 X))/\(p103 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p4 Y))/\((~(p104 Y))/\(p103 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p4 Y)/\((~(p104 Y))/\(p103 Y))))))))\/(~((~(p103 X))/\(p102 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p3 Y))/\((~(p103 Y))/\(p102 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p3 Y)/\((~(p103 Y))/\(p102 Y))))))))\/(~((~(p102 X))/\(p101 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p2 Y))/\((~(p102 Y))/\(p101 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p2 Y)/\((~(p102 Y))/\(p101 Y))))))))\/(~((~(p101 X))/\(p100 X))))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p6 Y))\/(~(p105 Y)))))\/(p6 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p6 Y)\/(~(p105 Y)))))\/(~(p6 X))))\/(~(p105 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p5 Y))\/(~(p104 Y)))))\/(p5 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p5 Y)\/(~(p104 Y)))))\/(~(p5 X))))\/(~(p104 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p4 Y))\/(~(p103 Y)))))\/(p4 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p4 Y)\/(~(p103 Y)))))\/(~(p4 X))))\/(~(p103 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p3 Y))\/(~(p102 Y)))))\/(p3 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p3 Y)\/(~(p102 Y)))))\/(~(p3 X))))\/(~(p102 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p2 Y))\/(~(p101 Y)))))\/(p2 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(p101 Y)))))\/(~(p2 X))))\/(~(p101 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p1 Y))\/(~(p100 Y)))))\/(p1 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p1 Y)\/(~(p100 Y)))))\/(~(p1 X))))\/(~(p100 X)))/\(((p105 X)\/(~(p106 X)))/\(((p104 X)\/(~(p105 X)))/\(((p103 X)\/(~(p104 X)))/\(((p102 X)\/(~(p103 X)))/\(((p101 X)\/(~(p102 X)))/\((p100 X)\/(~(p101 X))))))))))))))))))))))))))) -> (r1 zenon_TX_x zenon_TY_w) -> (r1 zenon_TY_w zenon_TX_q) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(p3 Y))))))))))) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 Y))/\(p104 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 Y))/\(p103 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 Y))/\(p102 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 Y))/\(p101 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 Y))))\/(~(p105 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 Y))))\/(~(p104 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 Y))))\/(~(p103 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 Y))))\/(~(p102 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p105 Y)\/(~(p106 Y)))/\(((p104 Y)\/(~(p105 Y)))/\(((p103 Y)\/(~(p104 Y)))/\(((p102 Y)\/(~(p103 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 Y))))))))))))))))))))))))))))) -> (p103 zenon_TX_l) -> (forall X : zenon_U, ((~(r1 zenon_TX_q X))\/((~(p3 X))\/(~(p102 X))))) -> (~(p104 zenon_TX_l)) -> False).
% 93.05/93.24 do 4 intro. intros zenon_Hcc zenon_Hf zenon_H90 zenon_H14 zenon_H15 zenon_H13 zenon_H4d zenon_H9c zenon_H94 zenon_H9f.
% 93.05/93.24 generalize (zenon_Hcc zenon_TX_l). zenon_intro zenon_Hcd.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H12 | zenon_intro zenon_H9e ].
% 93.05/93.24 exact (zenon_H12 zenon_Hf).
% 93.05/93.24 apply (zenon_L23_ zenon_TY_w zenon_TX_x zenon_TX_q zenon_TX_l); trivial.
% 93.05/93.24 (* end of lemma zenon_L24_ *)
% 93.05/93.24 assert (zenon_L25_ : forall (zenon_TX_x : zenon_U) (zenon_TX_l : zenon_U) (zenon_TX_q : zenon_U) (zenon_TY_w : zenon_U), (forall X : zenon_U, ((~(r1 zenon_TY_w X))\/(forall Y : zenon_U, ((~(r1 X Y))\/((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 Y))/\(p104 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 Y))/\(p103 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 Y))/\(p102 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 Y))/\(p101 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 Y))))\/(~(p105 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 Y))))\/(~(p104 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 Y))))\/(~(p103 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 Y))))\/(~(p102 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p105 Y)\/(~(p106 Y)))/\(((p104 Y)\/(~(p105 Y)))/\(((p103 Y)\/(~(p104 Y)))/\(((p102 Y)\/(~(p103 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 Y))))))))))))))))))))))) -> (r1 zenon_TY_w zenon_TX_q) -> (r1 zenon_TX_q zenon_TX_l) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(~((~(p6 Y))/\((~(p106 Y))/\(p105 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p6 Y)/\((~(p106 Y))/\(p105 Y))))))))\/(~((~(p105 X))/\(p104 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p5 Y))/\((~(p105 Y))/\(p104 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p5 Y)/\((~(p105 Y))/\(p104 Y))))))))\/(~((~(p104 X))/\(p103 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p4 Y))/\((~(p104 Y))/\(p103 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p4 Y)/\((~(p104 Y))/\(p103 Y))))))))\/(~((~(p103 X))/\(p102 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p3 Y))/\((~(p103 Y))/\(p102 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p3 Y)/\((~(p103 Y))/\(p102 Y))))))))\/(~((~(p102 X))/\(p101 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p2 Y))/\((~(p102 Y))/\(p101 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p2 Y)/\((~(p102 Y))/\(p101 Y))))))))\/(~((~(p101 X))/\(p100 X))))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p6 Y))\/(~(p105 Y)))))\/(p6 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p6 Y)\/(~(p105 Y)))))\/(~(p6 X))))\/(~(p105 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p5 Y))\/(~(p104 Y)))))\/(p5 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p5 Y)\/(~(p104 Y)))))\/(~(p5 X))))\/(~(p104 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p4 Y))\/(~(p103 Y)))))\/(p4 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p4 Y)\/(~(p103 Y)))))\/(~(p4 X))))\/(~(p103 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p3 Y))\/(~(p102 Y)))))\/(p3 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p3 Y)\/(~(p102 Y)))))\/(~(p3 X))))\/(~(p102 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p2 Y))\/(~(p101 Y)))))\/(p2 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(p101 Y)))))\/(~(p2 X))))\/(~(p101 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p1 Y))\/(~(p100 Y)))))\/(p1 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p1 Y)\/(~(p100 Y)))))\/(~(p1 X))))\/(~(p100 X)))/\(((p105 X)\/(~(p106 X)))/\(((p104 X)\/(~(p105 X)))/\(((p103 X)\/(~(p104 X)))/\(((p102 X)\/(~(p103 X)))/\(((p101 X)\/(~(p102 X)))/\((p100 X)\/(~(p101 X))))))))))))))))))))))))))) -> (r1 zenon_TX_x zenon_TY_w) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(p3 Y))))))))))) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 Y))/\(p104 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 Y))/\(p103 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 Y))/\(p102 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 Y))/\(p101 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 Y))))\/(~(p105 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 Y))))\/(~(p104 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 Y))))\/(~(p103 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 Y))))\/(~(p102 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p105 Y)\/(~(p106 Y)))/\(((p104 Y)\/(~(p105 Y)))/\(((p103 Y)\/(~(p104 Y)))/\(((p102 Y)\/(~(p103 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 Y))))))))))))))))))))))))))))) -> (p103 zenon_TX_l) -> (forall X : zenon_U, ((~(r1 zenon_TX_q X))\/((~(p3 X))\/(~(p102 X))))) -> (~(p104 zenon_TX_l)) -> False).
% 93.05/93.24 do 4 intro. intros zenon_Hce zenon_H15 zenon_Hf zenon_H90 zenon_H14 zenon_H13 zenon_H4d zenon_H9c zenon_H94 zenon_H9f.
% 93.05/93.24 generalize (zenon_Hce zenon_TX_q). zenon_intro zenon_Hcf.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H1c | zenon_intro zenon_Hcc ].
% 93.05/93.24 exact (zenon_H1c zenon_H15).
% 93.05/93.24 apply (zenon_L24_ zenon_TY_w zenon_TX_x zenon_TX_l zenon_TX_q); trivial.
% 93.05/93.24 (* end of lemma zenon_L25_ *)
% 93.05/93.24 assert (zenon_L26_ : forall (zenon_TY_w : zenon_U) (zenon_TX_x : zenon_U) (zenon_TX_q : zenon_U), ((((~(forall X : zenon_U, ((~(r1 zenon_TX_q X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TX_q X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 zenon_TX_q))/\(p104 zenon_TX_q))))/\((((~(forall X : zenon_U, ((~(r1 zenon_TX_q X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TX_q X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 zenon_TX_q))/\(p103 zenon_TX_q))))/\((((~(forall X : zenon_U, ((~(r1 zenon_TX_q X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TX_q X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 zenon_TX_q))/\(p102 zenon_TX_q))))/\((((~(forall X : zenon_U, ((~(r1 zenon_TX_q X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TX_q X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 zenon_TX_q))/\(p101 zenon_TX_q))))/\((((~(forall X : zenon_U, ((~(r1 zenon_TX_q X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TX_q X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 zenon_TX_q))/\(p100 zenon_TX_q))))/\(((((forall X : zenon_U, ((~(r1 zenon_TX_q X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 zenon_TX_q))/\((forall X : zenon_U, ((~(r1 zenon_TX_q X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 zenon_TX_q))))\/(~(p105 zenon_TX_q)))/\(((((forall X : zenon_U, ((~(r1 zenon_TX_q X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 zenon_TX_q))/\((forall X : zenon_U, ((~(r1 zenon_TX_q X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 zenon_TX_q))))\/(~(p104 zenon_TX_q)))/\(((((forall X : zenon_U, ((~(r1 zenon_TX_q X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 zenon_TX_q))/\((forall X : zenon_U, ((~(r1 zenon_TX_q X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 zenon_TX_q))))\/(~(p103 zenon_TX_q)))/\(((((forall X : zenon_U, ((~(r1 zenon_TX_q X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 zenon_TX_q))/\((forall X : zenon_U, ((~(r1 zenon_TX_q X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 zenon_TX_q))))\/(~(p102 zenon_TX_q)))/\(((((forall X : zenon_U, ((~(r1 zenon_TX_q X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 zenon_TX_q))/\((forall X : zenon_U, ((~(r1 zenon_TX_q X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 zenon_TX_q))))\/(~(p101 zenon_TX_q)))/\(((((forall X : zenon_U, ((~(r1 zenon_TX_q X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 zenon_TX_q))/\((forall X : zenon_U, ((~(r1 zenon_TX_q X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 zenon_TX_q))))\/(~(p100 zenon_TX_q)))/\(((p105 zenon_TX_q)\/(~(p106 zenon_TX_q)))/\(((p104 zenon_TX_q)\/(~(p105 zenon_TX_q)))/\(((p103 zenon_TX_q)\/(~(p104 zenon_TX_q)))/\(((p102 zenon_TX_q)\/(~(p103 zenon_TX_q)))/\(((p101 zenon_TX_q)\/(~(p102 zenon_TX_q)))/\((p100 zenon_TX_q)\/(~(p101 zenon_TX_q))))))))))))))))))) -> (~(p3 zenon_TX_q)) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 Y))/\(p104 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 Y))/\(p103 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 Y))/\(p102 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 Y))/\(p101 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 Y))))\/(~(p105 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 Y))))\/(~(p104 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 Y))))\/(~(p103 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 Y))))\/(~(p102 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p105 Y)\/(~(p106 Y)))/\(((p104 Y)\/(~(p105 Y)))/\(((p103 Y)\/(~(p104 Y)))/\(((p102 Y)\/(~(p103 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 Y))))))))))))))))))))))))))))) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(p3 Y))))))))))) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(~((~(p6 Y))/\((~(p106 Y))/\(p105 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p6 Y)/\((~(p106 Y))/\(p105 Y))))))))\/(~((~(p105 X))/\(p104 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p5 Y))/\((~(p105 Y))/\(p104 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p5 Y)/\((~(p105 Y))/\(p104 Y))))))))\/(~((~(p104 X))/\(p103 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p4 Y))/\((~(p104 Y))/\(p103 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p4 Y)/\((~(p104 Y))/\(p103 Y))))))))\/(~((~(p103 X))/\(p102 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p3 Y))/\((~(p103 Y))/\(p102 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p3 Y)/\((~(p103 Y))/\(p102 Y))))))))\/(~((~(p102 X))/\(p101 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p2 Y))/\((~(p102 Y))/\(p101 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p2 Y)/\((~(p102 Y))/\(p101 Y))))))))\/(~((~(p101 X))/\(p100 X))))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p6 Y))\/(~(p105 Y)))))\/(p6 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p6 Y)\/(~(p105 Y)))))\/(~(p6 X))))\/(~(p105 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p5 Y))\/(~(p104 Y)))))\/(p5 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p5 Y)\/(~(p104 Y)))))\/(~(p5 X))))\/(~(p104 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p4 Y))\/(~(p103 Y)))))\/(p4 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p4 Y)\/(~(p103 Y)))))\/(~(p4 X))))\/(~(p103 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p3 Y))\/(~(p102 Y)))))\/(p3 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p3 Y)\/(~(p102 Y)))))\/(~(p3 X))))\/(~(p102 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p2 Y))\/(~(p101 Y)))))\/(p2 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(p101 Y)))))\/(~(p2 X))))\/(~(p101 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p1 Y))\/(~(p100 Y)))))\/(p1 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p1 Y)\/(~(p100 Y)))))\/(~(p1 X))))\/(~(p100 X)))/\(((p105 X)\/(~(p106 X)))/\(((p104 X)\/(~(p105 X)))/\(((p103 X)\/(~(p104 X)))/\(((p102 X)\/(~(p103 X)))/\(((p101 X)\/(~(p102 X)))/\((p100 X)\/(~(p101 X))))))))))))))))))))))))))) -> (r1 zenon_TY_w zenon_TX_q) -> (r1 zenon_TX_x zenon_TY_w) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(forall X : zenon_U, ((~(r1 Y X))\/(forall Y : zenon_U, ((~(r1 X Y))\/((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 Y))/\(p104 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 Y))/\(p103 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 Y))/\(p102 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 Y))/\(p101 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 Y))))\/(~(p105 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 Y))))\/(~(p104 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 Y))))\/(~(p103 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 Y))))\/(~(p102 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p105 Y)\/(~(p106 Y)))/\(((p104 Y)\/(~(p105 Y)))/\(((p103 Y)\/(~(p104 Y)))/\(((p102 Y)\/(~(p103 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 Y))))))))))))))))))))))))) -> (~(p103 zenon_TX_q)) -> (p102 zenon_TX_q) -> False).
% 93.05/93.24 do 3 intro. intros zenon_Hd0 zenon_Hd1 zenon_H4d zenon_H13 zenon_H90 zenon_H15 zenon_H14 zenon_Hd2 zenon_Hd3 zenon_Hd4.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hd6. zenon_intro zenon_Hd5.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Hd8. zenon_intro zenon_Hd7.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hda. zenon_intro zenon_Hd9.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_He0. zenon_intro zenon_Hdf.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_He2. zenon_intro zenon_He1.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_He4. zenon_intro zenon_He3.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He6. zenon_intro zenon_He5.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_He8 | zenon_intro zenon_He7 ].
% 93.05/93.24 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hea. zenon_intro zenon_He9.
% 93.05/93.24 apply (zenon_notallex_s (fun X : zenon_U => ((~(r1 zenon_TX_q X))\/(~((p4 X)/\((~(p104 X))/\(p103 X)))))) zenon_He9); [ zenon_intro zenon_Heb; idtac ].
% 93.05/93.24 elim zenon_Heb. zenon_intro zenon_TX_l. zenon_intro zenon_Hec.
% 93.05/93.24 apply (zenon_notor_s _ _ zenon_Hec). zenon_intro zenon_Hee. zenon_intro zenon_Hed.
% 93.05/93.24 apply zenon_Hed. zenon_intro zenon_Hef.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf1. zenon_intro zenon_Hf0.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H9f. zenon_intro zenon_H9c.
% 93.05/93.24 apply zenon_Hee. zenon_intro zenon_Hf.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hf2 ].
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf5. zenon_intro zenon_Hf4.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf6 ].
% 93.05/93.24 generalize (zenon_Hd2 zenon_TY_w). zenon_intro zenon_Hf7.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H1a | zenon_intro zenon_Hce ].
% 93.05/93.24 exact (zenon_H1a zenon_H14).
% 93.05/93.24 apply (zenon_L25_ zenon_TX_x zenon_TX_l zenon_TX_q zenon_TY_w); trivial.
% 93.05/93.24 exact (zenon_Hd1 zenon_Hf6).
% 93.05/93.24 exact (zenon_Hf2 zenon_Hd4).
% 93.05/93.24 apply (zenon_notand_s _ _ zenon_He7); [ zenon_intro zenon_Hf8 | zenon_intro zenon_Hf2 ].
% 93.05/93.24 exact (zenon_Hf8 zenon_Hd3).
% 93.05/93.24 exact (zenon_Hf2 zenon_Hd4).
% 93.05/93.24 (* end of lemma zenon_L26_ *)
% 93.05/93.24 assert (zenon_L27_ : forall (zenon_TX_x : zenon_U) (zenon_TX_q : zenon_U) (zenon_TY_w : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TY_w Y))\/((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 Y))/\(p104 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 Y))/\(p103 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 Y))/\(p102 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 Y))/\(p101 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 Y))))\/(~(p105 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 Y))))\/(~(p104 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 Y))))\/(~(p103 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 Y))))\/(~(p102 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p105 Y)\/(~(p106 Y)))/\(((p104 Y)\/(~(p105 Y)))/\(((p103 Y)\/(~(p104 Y)))/\(((p102 Y)\/(~(p103 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 Y))))))))))))))))))))) -> (r1 zenon_TY_w zenon_TX_q) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(forall X : zenon_U, ((~(r1 Y X))\/(forall Y : zenon_U, ((~(r1 X Y))\/((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 Y))/\(p104 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 Y))/\(p103 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 Y))/\(p102 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 Y))/\(p101 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 Y))))\/(~(p105 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 Y))))\/(~(p104 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 Y))))\/(~(p103 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 Y))))\/(~(p102 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p105 Y)\/(~(p106 Y)))/\(((p104 Y)\/(~(p105 Y)))/\(((p103 Y)\/(~(p104 Y)))/\(((p102 Y)\/(~(p103 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 Y))))))))))))))))))))))))) -> (r1 zenon_TX_x zenon_TY_w) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(~((~(p6 Y))/\((~(p106 Y))/\(p105 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p6 Y)/\((~(p106 Y))/\(p105 Y))))))))\/(~((~(p105 X))/\(p104 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p5 Y))/\((~(p105 Y))/\(p104 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p5 Y)/\((~(p105 Y))/\(p104 Y))))))))\/(~((~(p104 X))/\(p103 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p4 Y))/\((~(p104 Y))/\(p103 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p4 Y)/\((~(p104 Y))/\(p103 Y))))))))\/(~((~(p103 X))/\(p102 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p3 Y))/\((~(p103 Y))/\(p102 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p3 Y)/\((~(p103 Y))/\(p102 Y))))))))\/(~((~(p102 X))/\(p101 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p2 Y))/\((~(p102 Y))/\(p101 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p2 Y)/\((~(p102 Y))/\(p101 Y))))))))\/(~((~(p101 X))/\(p100 X))))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p6 Y))\/(~(p105 Y)))))\/(p6 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p6 Y)\/(~(p105 Y)))))\/(~(p6 X))))\/(~(p105 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p5 Y))\/(~(p104 Y)))))\/(p5 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p5 Y)\/(~(p104 Y)))))\/(~(p5 X))))\/(~(p104 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p4 Y))\/(~(p103 Y)))))\/(p4 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p4 Y)\/(~(p103 Y)))))\/(~(p4 X))))\/(~(p103 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p3 Y))\/(~(p102 Y)))))\/(p3 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p3 Y)\/(~(p102 Y)))))\/(~(p3 X))))\/(~(p102 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p2 Y))\/(~(p101 Y)))))\/(p2 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(p101 Y)))))\/(~(p2 X))))\/(~(p101 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p1 Y))\/(~(p100 Y)))))\/(p1 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p1 Y)\/(~(p100 Y)))))\/(~(p1 X))))\/(~(p100 X)))/\(((p105 X)\/(~(p106 X)))/\(((p104 X)\/(~(p105 X)))/\(((p103 X)\/(~(p104 X)))/\(((p102 X)\/(~(p103 X)))/\(((p101 X)\/(~(p102 X)))/\((p100 X)\/(~(p101 X))))))))))))))))))))))))))) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(p3 Y))))))))))) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 Y))/\(p104 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 Y))/\(p103 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 Y))/\(p102 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 Y))/\(p101 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 Y))))\/(~(p105 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 Y))))\/(~(p104 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 Y))))\/(~(p103 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 Y))))\/(~(p102 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p105 Y)\/(~(p106 Y)))/\(((p104 Y)\/(~(p105 Y)))/\(((p103 Y)\/(~(p104 Y)))/\(((p102 Y)\/(~(p103 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 Y))))))))))))))))))))))))))))) -> (~(p3 zenon_TX_q)) -> (p102 zenon_TX_q) -> (~(p103 zenon_TX_q)) -> False).
% 93.05/93.24 do 3 intro. intros zenon_Hf9 zenon_H15 zenon_Hd2 zenon_H14 zenon_H90 zenon_H13 zenon_H4d zenon_Hd1 zenon_Hd4 zenon_Hd3.
% 93.05/93.24 generalize (zenon_Hf9 zenon_TX_q). zenon_intro zenon_Hfa.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H1c | zenon_intro zenon_Hd0 ].
% 93.05/93.24 exact (zenon_H1c zenon_H15).
% 93.05/93.24 apply (zenon_L26_ zenon_TY_w zenon_TX_x zenon_TX_q); trivial.
% 93.05/93.24 (* end of lemma zenon_L27_ *)
% 93.05/93.24 assert (zenon_L28_ : forall (zenon_TX_x : zenon_U) (zenon_TY_w : zenon_U), ((((~(forall X : zenon_U, ((~(r1 zenon_TY_w X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TY_w X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 zenon_TY_w))/\(p104 zenon_TY_w))))/\((((~(forall X : zenon_U, ((~(r1 zenon_TY_w X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TY_w X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 zenon_TY_w))/\(p103 zenon_TY_w))))/\((((~(forall X : zenon_U, ((~(r1 zenon_TY_w X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TY_w X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 zenon_TY_w))/\(p102 zenon_TY_w))))/\((((~(forall X : zenon_U, ((~(r1 zenon_TY_w X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TY_w X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 zenon_TY_w))/\(p101 zenon_TY_w))))/\((((~(forall X : zenon_U, ((~(r1 zenon_TY_w X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 zenon_TY_w X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 zenon_TY_w))/\(p100 zenon_TY_w))))/\(((((forall X : zenon_U, ((~(r1 zenon_TY_w X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 zenon_TY_w))/\((forall X : zenon_U, ((~(r1 zenon_TY_w X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 zenon_TY_w))))\/(~(p105 zenon_TY_w)))/\(((((forall X : zenon_U, ((~(r1 zenon_TY_w X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 zenon_TY_w))/\((forall X : zenon_U, ((~(r1 zenon_TY_w X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 zenon_TY_w))))\/(~(p104 zenon_TY_w)))/\(((((forall X : zenon_U, ((~(r1 zenon_TY_w X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 zenon_TY_w))/\((forall X : zenon_U, ((~(r1 zenon_TY_w X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 zenon_TY_w))))\/(~(p103 zenon_TY_w)))/\(((((forall X : zenon_U, ((~(r1 zenon_TY_w X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 zenon_TY_w))/\((forall X : zenon_U, ((~(r1 zenon_TY_w X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 zenon_TY_w))))\/(~(p102 zenon_TY_w)))/\(((((forall X : zenon_U, ((~(r1 zenon_TY_w X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 zenon_TY_w))/\((forall X : zenon_U, ((~(r1 zenon_TY_w X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 zenon_TY_w))))\/(~(p101 zenon_TY_w)))/\(((((forall X : zenon_U, ((~(r1 zenon_TY_w X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 zenon_TY_w))/\((forall X : zenon_U, ((~(r1 zenon_TY_w X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 zenon_TY_w))))\/(~(p100 zenon_TY_w)))/\(((p105 zenon_TY_w)\/(~(p106 zenon_TY_w)))/\(((p104 zenon_TY_w)\/(~(p105 zenon_TY_w)))/\(((p103 zenon_TY_w)\/(~(p104 zenon_TY_w)))/\(((p102 zenon_TY_w)\/(~(p103 zenon_TY_w)))/\(((p101 zenon_TY_w)\/(~(p102 zenon_TY_w)))/\((p100 zenon_TY_w)\/(~(p101 zenon_TY_w))))))))))))))))))) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(forall X : zenon_U, ((~(r1 Y X))\/((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p6 Y))/\((~(p106 Y))/\(p105 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p6 Y)/\((~(p106 Y))/\(p105 Y))))))))\/(~((~(p105 X))/\(p104 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p5 Y))/\((~(p105 Y))/\(p104 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p5 Y)/\((~(p105 Y))/\(p104 Y))))))))\/(~((~(p104 X))/\(p103 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p4 Y))/\((~(p104 Y))/\(p103 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p4 Y)/\((~(p104 Y))/\(p103 Y))))))))\/(~((~(p103 X))/\(p102 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p3 Y))/\((~(p103 Y))/\(p102 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p3 Y)/\((~(p103 Y))/\(p102 Y))))))))\/(~((~(p102 X))/\(p101 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p2 Y))/\((~(p102 Y))/\(p101 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p2 Y)/\((~(p102 Y))/\(p101 Y))))))))\/(~((~(p101 X))/\(p100 X))))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p6 Y))\/(~(p105 Y)))))\/(p6 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p6 Y)\/(~(p105 Y)))))\/(~(p6 X))))\/(~(p105 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p5 Y))\/(~(p104 Y)))))\/(p5 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p5 Y)\/(~(p104 Y)))))\/(~(p5 X))))\/(~(p104 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p4 Y))\/(~(p103 Y)))))\/(p4 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p4 Y)\/(~(p103 Y)))))\/(~(p4 X))))\/(~(p103 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p3 Y))\/(~(p102 Y)))))\/(p3 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p3 Y)\/(~(p102 Y)))))\/(~(p3 X))))\/(~(p102 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p2 Y))\/(~(p101 Y)))))\/(p2 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(p101 Y)))))\/(~(p2 X))))\/(~(p101 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p1 Y))\/(~(p100 Y)))))\/(p1 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p1 Y)\/(~(p100 Y)))))\/(~(p1 X))))\/(~(p100 X)))/\(((p105 X)\/(~(p106 X)))/\(((p104 X)\/(~(p105 X)))/\(((p103 X)\/(~(p104 X)))/\(((p102 X)\/(~(p103 X)))/\(((p101 X)\/(~(p102 X)))/\((p100 X)\/(~(p101 X))))))))))))))))))))))) -> (r1 zenon_TX_x zenon_TY_w) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(forall X : zenon_U, ((~(r1 Y X))\/(forall Y : zenon_U, ((~(r1 X Y))\/((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 Y))/\(p104 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 Y))/\(p103 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 Y))/\(p102 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 Y))/\(p101 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 Y))))\/(~(p105 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 Y))))\/(~(p104 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 Y))))\/(~(p103 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 Y))))\/(~(p102 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p105 Y)\/(~(p106 Y)))/\(((p104 Y)\/(~(p105 Y)))/\(((p103 Y)\/(~(p104 Y)))/\(((p102 Y)\/(~(p103 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 Y))))))))))))))))))))))))) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(~((~(p6 Y))/\((~(p106 Y))/\(p105 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p6 Y)/\((~(p106 Y))/\(p105 Y))))))))\/(~((~(p105 X))/\(p104 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p5 Y))/\((~(p105 Y))/\(p104 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p5 Y)/\((~(p105 Y))/\(p104 Y))))))))\/(~((~(p104 X))/\(p103 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p4 Y))/\((~(p104 Y))/\(p103 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p4 Y)/\((~(p104 Y))/\(p103 Y))))))))\/(~((~(p103 X))/\(p102 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p3 Y))/\((~(p103 Y))/\(p102 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p3 Y)/\((~(p103 Y))/\(p102 Y))))))))\/(~((~(p102 X))/\(p101 X))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p2 Y))/\((~(p102 Y))/\(p101 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p2 Y)/\((~(p102 Y))/\(p101 Y))))))))\/(~((~(p101 X))/\(p100 X))))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p6 Y))\/(~(p105 Y)))))\/(p6 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p6 Y)\/(~(p105 Y)))))\/(~(p6 X))))\/(~(p105 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p5 Y))\/(~(p104 Y)))))\/(p5 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p5 Y)\/(~(p104 Y)))))\/(~(p5 X))))\/(~(p104 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p4 Y))\/(~(p103 Y)))))\/(p4 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p4 Y)\/(~(p103 Y)))))\/(~(p4 X))))\/(~(p103 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p3 Y))\/(~(p102 Y)))))\/(p3 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p3 Y)\/(~(p102 Y)))))\/(~(p3 X))))\/(~(p102 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p2 Y))\/(~(p101 Y)))))\/(p2 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(p101 Y)))))\/(~(p2 X))))\/(~(p101 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p1 Y))\/(~(p100 Y)))))\/(p1 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p1 Y)\/(~(p100 Y)))))\/(~(p1 X))))\/(~(p100 X)))/\(((p105 X)\/(~(p106 X)))/\(((p104 X)\/(~(p105 X)))/\(((p103 X)\/(~(p104 X)))/\(((p102 X)\/(~(p103 X)))/\(((p101 X)\/(~(p102 X)))/\((p100 X)\/(~(p101 X))))))))))))))))))))))))))) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/(p3 Y))))))))))) -> (forall Y : zenon_U, ((~(r1 zenon_TX_x Y))\/(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))\/((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p6 X))/\((~(p106 X))/\(p105 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p6 X)/\((~(p106 X))/\(p105 X))))))))\/(~((~(p105 Y))/\(p104 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p5 X))/\((~(p105 X))/\(p104 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p5 X)/\((~(p105 X))/\(p104 X))))))))\/(~((~(p104 Y))/\(p103 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p4 X))/\((~(p104 X))/\(p103 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p4 X)/\((~(p104 X))/\(p103 X))))))))\/(~((~(p103 Y))/\(p102 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p3 X)/\((~(p103 X))/\(p102 X))))))))\/(~((~(p102 Y))/\(p101 Y))))/\((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p6 X))\/(~(p105 X)))))\/(p6 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p6 X)\/(~(p105 X)))))\/(~(p6 Y))))\/(~(p105 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p5 X))\/(~(p104 X)))))\/(p5 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p5 X)\/(~(p104 X)))))\/(~(p5 Y))))\/(~(p104 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p4 X))\/(~(p103 X)))))\/(p4 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p4 X)\/(~(p103 X)))))\/(~(p4 Y))))\/(~(p103 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p3 X))\/(~(p102 X)))))\/(p3 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p3 X)\/(~(p102 X)))))\/(~(p3 Y))))\/(~(p102 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p105 Y)\/(~(p106 Y)))/\(((p104 Y)\/(~(p105 Y)))/\(((p103 Y)\/(~(p104 Y)))/\(((p102 Y)\/(~(p103 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 Y))))))))))))))))))))))))))))) -> (~(p102 zenon_TY_w)) -> (p101 zenon_TY_w) -> False).
% 93.05/93.24 do 2 intro. intros zenon_Hfb zenon_Hfc zenon_H14 zenon_Hd2 zenon_H90 zenon_H13 zenon_H4d zenon_Hfd zenon_Hfe.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_H100. zenon_intro zenon_Hff.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H102. zenon_intro zenon_H101.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H104. zenon_intro zenon_H103.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_H106. zenon_intro zenon_H105.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ].
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H10a. zenon_intro zenon_H109.
% 93.05/93.24 apply (zenon_notallex_s (fun X : zenon_U => ((~(r1 zenon_TY_w X))\/(~((~(p3 X))/\((~(p103 X))/\(p102 X)))))) zenon_H10a); [ zenon_intro zenon_H10b; idtac ].
% 93.05/93.24 elim zenon_H10b. zenon_intro zenon_TX_q. zenon_intro zenon_H10c.
% 93.05/93.24 apply (zenon_notor_s _ _ zenon_H10c). zenon_intro zenon_H10e. zenon_intro zenon_H10d.
% 93.05/93.24 apply zenon_H10d. zenon_intro zenon_H10f.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hd1. zenon_intro zenon_H110.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4.
% 93.05/93.24 apply zenon_H10e. zenon_intro zenon_H15.
% 93.05/93.24 generalize (zenon_Hfc zenon_TY_w). zenon_intro zenon_H111.
% 93.05/93.24 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H1a | zenon_intro zenon_Hf9 ].
% 93.05/93.24 exact (zenon_H1a zenon_H14).
% 93.05/93.24 apply (zenon_L27_ zenon_TX_x zenon_TX_q zenon_TY_w); trivial.
% 93.05/93.24 apply (zenon_notand_s _ _ zenon_H107); [ zenon_intro zenon_H113 | zenon_intro zenon_H112 ].
% 93.05/93.24 exact (zenon_H113 zenon_Hfd).
% 93.05/93.24 exact (zenon_H112 zenon_Hfe).
% 93.05/93.24 (* end of lemma zenon_L28_ *)
% 93.05/93.24 apply NNPP. intro zenon_G.
% 93.05/93.24 apply zenon_G. zenon_intro zenon_H114.
% 93.05/93.24 elim zenon_H114. zenon_intro zenon_TX_x. zenon_intro zenon_H115.
% 93.05/93.24 apply (zenon_notor_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116.
% 93.05/93.24 apply zenon_H116. zenon_intro zenon_H118.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H4d. zenon_intro zenon_H119.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H90. zenon_intro zenon_H11a.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_Hd2. zenon_intro zenon_H11b.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hfc. zenon_intro zenon_H11c.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11e. zenon_intro zenon_H11d.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H120. zenon_intro zenon_H11f.
% 93.05/93.24 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H122. zenon_intro zenon_H121.
% 93.05/93.25 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 93.05/93.25 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H126. zenon_intro zenon_H125.
% 93.05/93.25 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H128. zenon_intro zenon_H127.
% 93.05/93.25 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H12a. zenon_intro zenon_H129.
% 93.05/93.25 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12c. zenon_intro zenon_H12b.
% 93.05/93.25 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12e. zenon_intro zenon_H12d.
% 93.05/93.25 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H130. zenon_intro zenon_H12f.
% 93.05/93.25 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H132. zenon_intro zenon_H131.
% 93.05/93.25 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H134. zenon_intro zenon_H133.
% 93.05/93.25 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H136. zenon_intro zenon_H135.
% 93.05/93.25 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H138. zenon_intro zenon_H137.
% 93.05/93.25 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H13a. zenon_intro zenon_H139.
% 93.05/93.25 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b.
% 93.05/93.25 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d.
% 93.05/93.25 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f.
% 93.05/93.25 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141.
% 93.05/93.25 apply zenon_H117. zenon_intro zenon_H13.
% 93.05/93.25 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H144 | zenon_intro zenon_H143 ].
% 93.05/93.25 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H146. zenon_intro zenon_H145.
% 93.05/93.25 apply (zenon_notallex_s (fun Y : zenon_U => ((~(r1 zenon_TX_x Y))\/(~((p2 Y)/\((~(p102 Y))/\(p101 Y)))))) zenon_H145); [ zenon_intro zenon_H147; idtac ].
% 93.05/93.25 elim zenon_H147. zenon_intro zenon_TY_w. zenon_intro zenon_H148.
% 93.05/93.25 apply (zenon_notor_s _ _ zenon_H148). zenon_intro zenon_H14a. zenon_intro zenon_H149.
% 93.05/93.25 apply zenon_H149. zenon_intro zenon_H14b.
% 93.05/93.25 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14d. zenon_intro zenon_H14c.
% 93.05/93.25 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hfd. zenon_intro zenon_Hfe.
% 93.05/93.25 apply zenon_H14a. zenon_intro zenon_H14.
% 93.05/93.25 generalize (zenon_H11e zenon_TY_w). zenon_intro zenon_H14e.
% 93.05/93.25 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1a | zenon_intro zenon_Hfb ].
% 93.05/93.25 exact (zenon_H1a zenon_H14).
% 93.05/93.25 apply (zenon_L28_ zenon_TX_x zenon_TY_w); trivial.
% 93.05/93.25 apply (zenon_notand_s _ _ zenon_H143); [ zenon_intro zenon_H150 | zenon_intro zenon_H14f ].
% 93.05/93.25 exact (zenon_H150 zenon_H142).
% 93.05/93.25 exact (zenon_H14f zenon_H141).
% 93.05/93.25 Qed.
% 93.05/93.25 % SZS output end Proof
% 93.05/93.25 (* END-PROOF *)
% 93.05/93.25 nodes searched: 3034047
% 93.05/93.25 max branch formulas: 45540
% 93.05/93.25 proof nodes created: 328155
% 93.05/93.25 formulas created: 4998053
% 93.05/93.25
%------------------------------------------------------------------------------