TSTP Solution File: LCL644+1.015 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : LCL644+1.015 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n009.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 16:22:59 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL644+1.015 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 4 20:41:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.51 (* PROOF-FOUND *)
% 0.18/0.51 % SZS status Theorem
% 0.18/0.51 (* BEGIN-PROOF *)
% 0.18/0.51 % SZS output start Proof
% 0.18/0.51 Theorem main : (~(exists X : zenon_U, (~((~((forall Y : zenon_U, ((~(r1 X Y))\/((~((p16 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p16 X)))))\/(p15 Y))))\/((forall Y : zenon_U, ((~(r1 X Y))\/((p16 Y)\/(~((p15 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p15 X)))/\(p15 Y)))))))\/(~((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/((~((p16 X)/\(forall Y : zenon_U, ((~(r1 X Y))\/(p16 Y)))))\/(p15 X))))\/((p16 Y)\/(~((p15 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p15 X)))/\(p15 Y))))))))/\((forall Y : zenon_U, ((~(r1 X Y))\/((~((p16 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p16 X)))))\/((p15 Y)\/(forall X : zenon_U, ((~(r1 Y X))\/((p16 X)\/(~((p15 X)/\((forall Y : zenon_U, ((~(r1 X Y))\/(p15 Y)))/\(p15 X)))))))))))/\(forall Y : zenon_U, ((~(r1 X Y))\/((~((p16 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p16 X)))))\/((p15 Y)\/((p16 Y)\/(~((p15 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p15 X)))/\(p15 Y)))))))))))))))\/((~((forall Y : zenon_U, ((~(r1 X Y))\/((~((p15 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p15 X)))))\/(p14 Y))))\/((forall Y : zenon_U, ((~(r1 X Y))\/((p15 Y)\/(~((p14 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p14 X)))/\(p14 Y)))))))\/(~((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/((~((p15 X)/\(forall Y : zenon_U, ((~(r1 X Y))\/(p15 Y)))))\/(p14 X))))\/((p15 Y)\/(~((p14 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p14 X)))/\(p14 Y))))))))/\((forall Y : zenon_U, ((~(r1 X Y))\/((~((p15 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p15 X)))))\/((p14 Y)\/(forall X : zenon_U, ((~(r1 Y X))\/((p15 X)\/(~((p14 X)/\((forall Y : zenon_U, ((~(r1 X Y))\/(p14 Y)))/\(p14 X)))))))))))/\(forall Y : zenon_U, ((~(r1 X Y))\/((~((p15 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p15 X)))))\/((p14 Y)\/((p15 Y)\/(~((p14 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p14 X)))/\(p14 Y)))))))))))))))\/((~((forall Y : zenon_U, ((~(r1 X Y))\/((~((p14 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p14 X)))))\/(p13 Y))))\/((forall Y : zenon_U, ((~(r1 X Y))\/((p14 Y)\/(~((p13 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p13 X)))/\(p13 Y)))))))\/(~((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/((~((p14 X)/\(forall Y : zenon_U, ((~(r1 X Y))\/(p14 Y)))))\/(p13 X))))\/((p14 Y)\/(~((p13 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p13 X)))/\(p13 Y))))))))/\((forall Y : zenon_U, ((~(r1 X Y))\/((~((p14 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p14 X)))))\/((p13 Y)\/(forall X : zenon_U, ((~(r1 Y X))\/((p14 X)\/(~((p13 X)/\((forall Y : zenon_U, ((~(r1 X Y))\/(p13 Y)))/\(p13 X)))))))))))/\(forall Y : zenon_U, ((~(r1 X Y))\/((~((p14 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p14 X)))))\/((p13 Y)\/((p14 Y)\/(~((p13 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p13 X)))/\(p13 Y)))))))))))))))\/((~((forall Y : zenon_U, ((~(r1 X Y))\/((~((p13 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p13 X)))))\/(p12 Y))))\/((forall Y : zenon_U, ((~(r1 X Y))\/((p13 Y)\/(~((p12 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p12 X)))/\(p12 Y)))))))\/(~((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/((~((p13 X)/\(forall Y : zenon_U, ((~(r1 X Y))\/(p13 Y)))))\/(p12 X))))\/((p13 Y)\/(~((p12 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p12 X)))/\(p12 Y))))))))/\((forall Y : zenon_U, ((~(r1 X Y))\/((~((p13 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p13 X)))))\/((p12 Y)\/(forall X : zenon_U, ((~(r1 Y X))\/((p13 X)\/(~((p12 X)/\((forall Y : zenon_U, ((~(r1 X Y))\/(p12 Y)))/\(p12 X)))))))))))/\(forall Y : zenon_U, ((~(r1 X Y))\/((~((p13 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p13 X)))))\/((p12 Y)\/((p13 Y)\/(~((p12 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p12 X)))/\(p12 Y)))))))))))))))\/((~((forall Y : zenon_U, ((~(r1 X Y))\/((~((p12 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p12 X)))))\/(p11 Y))))\/((forall Y : zenon_U, ((~(r1 X Y))\/((p12 Y)\/(~((p11 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p11 X)))/\(p11 Y)))))))\/(~((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/((~((p12 X)/\(forall Y : zenon_U, ((~(r1 X Y))\/(p12 Y)))))\/(p11 X))))\/((p12 Y)\/(~((p11 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p11 X)))/\(p11 Y))))))))/\((forall Y : zenon_U, ((~(r1 X Y))\/((~((p12 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p12 X)))))\/((p11 Y)\/(forall X : zenon_U, ((~(r1 Y X))\/((p12 X)\/(~((p11 X)/\((forall Y : zenon_U, ((~(r1 X Y))\/(p11 Y)))/\(p11 X)))))))))))/\(forall Y : zenon_U, ((~(r1 X Y))\/((~((p12 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p12 X)))))\/((p11 Y)\/((p12 Y)\/(~((p11 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p11 X)))/\(p11 Y)))))))))))))))\/((~((forall Y : zenon_U, ((~(r1 X Y))\/((~((p11 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p11 X)))))\/(p10 Y))))\/((forall Y : zenon_U, ((~(r1 X Y))\/((p11 Y)\/(~((p10 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p10 X)))/\(p10 Y)))))))\/(~((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/((~((p11 X)/\(forall Y : zenon_U, ((~(r1 X Y))\/(p11 Y)))))\/(p10 X))))\/((p11 Y)\/(~((p10 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p10 X)))/\(p10 Y))))))))/\((forall Y : zenon_U, ((~(r1 X Y))\/((~((p11 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p11 X)))))\/((p10 Y)\/(forall X : zenon_U, ((~(r1 Y X))\/((p11 X)\/(~((p10 X)/\((forall Y : zenon_U, ((~(r1 X Y))\/(p10 Y)))/\(p10 X)))))))))))/\(forall Y : zenon_U, ((~(r1 X Y))\/((~((p11 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p11 X)))))\/((p10 Y)\/((p11 Y)\/(~((p10 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p10 X)))/\(p10 Y)))))))))))))))\/((~((forall Y : zenon_U, ((~(r1 X Y))\/((~((p10 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p10 X)))))\/(p9 Y))))\/((forall Y : zenon_U, ((~(r1 X Y))\/((p10 Y)\/(~((p9 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p9 X)))/\(p9 Y)))))))\/(~((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/((~((p10 X)/\(forall Y : zenon_U, ((~(r1 X Y))\/(p10 Y)))))\/(p9 X))))\/((p10 Y)\/(~((p9 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p9 X)))/\(p9 Y))))))))/\((forall Y : zenon_U, ((~(r1 X Y))\/((~((p10 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p10 X)))))\/((p9 Y)\/(forall X : zenon_U, ((~(r1 Y X))\/((p10 X)\/(~((p9 X)/\((forall Y : zenon_U, ((~(r1 X Y))\/(p9 Y)))/\(p9 X)))))))))))/\(forall Y : zenon_U, ((~(r1 X Y))\/((~((p10 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p10 X)))))\/((p9 Y)\/((p10 Y)\/(~((p9 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p9 X)))/\(p9 Y)))))))))))))))\/((~((forall Y : zenon_U, ((~(r1 X Y))\/((~((p9 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p9 X)))))\/(p8 Y))))\/((forall Y : zenon_U, ((~(r1 X Y))\/((p9 Y)\/(~((p8 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p8 X)))/\(p8 Y)))))))\/(~((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/((~((p9 X)/\(forall Y : zenon_U, ((~(r1 X Y))\/(p9 Y)))))\/(p8 X))))\/((p9 Y)\/(~((p8 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p8 X)))/\(p8 Y))))))))/\((forall Y : zenon_U, ((~(r1 X Y))\/((~((p9 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p9 X)))))\/((p8 Y)\/(forall X : zenon_U, ((~(r1 Y X))\/((p9 X)\/(~((p8 X)/\((forall Y : zenon_U, ((~(r1 X Y))\/(p8 Y)))/\(p8 X)))))))))))/\(forall Y : zenon_U, ((~(r1 X Y))\/((~((p9 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p9 X)))))\/((p8 Y)\/((p9 Y)\/(~((p8 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p8 X)))/\(p8 Y)))))))))))))))\/((~((forall Y : zenon_U, ((~(r1 X Y))\/((~((p8 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p8 X)))))\/(p7 Y))))\/((forall Y : zenon_U, ((~(r1 X Y))\/((p8 Y)\/(~((p7 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p7 X)))/\(p7 Y)))))))\/(~((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/((~((p8 X)/\(forall Y : zenon_U, ((~(r1 X Y))\/(p8 Y)))))\/(p7 X))))\/((p8 Y)\/(~((p7 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p7 X)))/\(p7 Y))))))))/\((forall Y : zenon_U, ((~(r1 X Y))\/((~((p8 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p8 X)))))\/((p7 Y)\/(forall X : zenon_U, ((~(r1 Y X))\/((p8 X)\/(~((p7 X)/\((forall Y : zenon_U, ((~(r1 X Y))\/(p7 Y)))/\(p7 X)))))))))))/\(forall Y : zenon_U, ((~(r1 X Y))\/((~((p8 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p8 X)))))\/((p7 Y)\/((p8 Y)\/(~((p7 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p7 X)))/\(p7 Y)))))))))))))))\/((~((forall Y : zenon_U, ((~(r1 X Y))\/((~((p7 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p7 X)))))\/(p6 Y))))\/((forall Y : zenon_U, ((~(r1 X Y))\/((p7 Y)\/(~((p6 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p6 X)))/\(p6 Y)))))))\/(~((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/((~((p7 X)/\(forall Y : zenon_U, ((~(r1 X Y))\/(p7 Y)))))\/(p6 X))))\/((p7 Y)\/(~((p6 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p6 X)))/\(p6 Y))))))))/\((forall Y : zenon_U, ((~(r1 X Y))\/((~((p7 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p7 X)))))\/((p6 Y)\/(forall X : zenon_U, ((~(r1 Y X))\/((p7 X)\/(~((p6 X)/\((forall Y : zenon_U, ((~(r1 X Y))\/(p6 Y)))/\(p6 X)))))))))))/\(forall Y : zenon_U, ((~(r1 X Y))\/((~((p7 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p7 X)))))\/((p6 Y)\/((p7 Y)\/(~((p6 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p6 X)))/\(p6 Y)))))))))))))))\/((forall Y : zenon_U, ((~(r1 X Y))\/((p15 Y)\/(~((forall X : zenon_U, ((~(r1 Y X))\/(p15 X)))/\(p15 Y))))))\/((forall Y : zenon_U, ((~(r1 X Y))\/((p15 Y)\/(~((forall X : zenon_U, ((~(r1 Y X))\/(p15 X)))/\(p15 Y))))))\/((~((forall Y : zenon_U, ((~(r1 X Y))\/((~((p6 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p6 X)))))\/(p5 Y))))\/((forall Y : zenon_U, ((~(r1 X Y))\/((p6 Y)\/(~((p5 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p5 X)))/\(p5 Y)))))))\/(~((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/((~((p6 X)/\(forall Y : zenon_U, ((~(r1 X Y))\/(p6 Y)))))\/(p5 X))))\/((p6 Y)\/(~((p5 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p5 X)))/\(p5 Y))))))))/\((forall Y : zenon_U, ((~(r1 X Y))\/((~((p6 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p6 X)))))\/((p5 Y)\/(forall X : zenon_U, ((~(r1 Y X))\/((p6 X)\/(~((p5 X)/\((forall Y : zenon_U, ((~(r1 X Y))\/(p5 Y)))/\(p5 X)))))))))))/\(forall Y : zenon_U, ((~(r1 X Y))\/((~((p6 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p6 X)))))\/((p5 Y)\/((p6 Y)\/(~((p5 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p5 X)))/\(p5 Y)))))))))))))))\/((~((forall Y : zenon_U, ((~(r1 X Y))\/((~((p5 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p5 X)))))\/(p4 Y))))\/((forall Y : zenon_U, ((~(r1 X Y))\/((p5 Y)\/(~((p4 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p4 X)))/\(p4 Y)))))))\/(~((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/((~((p5 X)/\(forall Y : zenon_U, ((~(r1 X Y))\/(p5 Y)))))\/(p4 X))))\/((p5 Y)\/(~((p4 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p4 X)))/\(p4 Y))))))))/\((forall Y : zenon_U, ((~(r1 X Y))\/((~((p5 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p5 X)))))\/((p4 Y)\/(forall X : zenon_U, ((~(r1 Y X))\/((p5 X)\/(~((p4 X)/\((forall Y : zenon_U, ((~(r1 X Y))\/(p4 Y)))/\(p4 X)))))))))))/\(forall Y : zenon_U, ((~(r1 X Y))\/((~((p5 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p5 X)))))\/((p4 Y)\/((p5 Y)\/(~((p4 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p4 X)))/\(p4 Y)))))))))))))))\/((~((forall Y : zenon_U, ((~(r1 X Y))\/((~((p4 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p4 X)))))\/(p3 Y))))\/((forall Y : zenon_U, ((~(r1 X Y))\/((p4 Y)\/(~((p3 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p3 X)))/\(p3 Y)))))))\/(~((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/((~((p4 X)/\(forall Y : zenon_U, ((~(r1 X Y))\/(p4 Y)))))\/(p3 X))))\/((p4 Y)\/(~((p3 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p3 X)))/\(p3 Y))))))))/\((forall Y : zenon_U, ((~(r1 X Y))\/((~((p4 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p4 X)))))\/((p3 Y)\/(forall X : zenon_U, ((~(r1 Y X))\/((p4 X)\/(~((p3 X)/\((forall Y : zenon_U, ((~(r1 X Y))\/(p3 Y)))/\(p3 X)))))))))))/\(forall Y : zenon_U, ((~(r1 X Y))\/((~((p4 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p4 X)))))\/((p3 Y)\/((p4 Y)\/(~((p3 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p3 X)))/\(p3 Y)))))))))))))))\/((~((forall Y : zenon_U, ((~(r1 X Y))\/((~((p3 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p3 X)))))\/(p2 Y))))\/((forall Y : zenon_U, ((~(r1 X Y))\/((p3 Y)\/(~((p2 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))/\(p2 Y)))))))\/(~((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/((~((p3 X)/\(forall Y : zenon_U, ((~(r1 X Y))\/(p3 Y)))))\/(p2 X))))\/((p3 Y)\/(~((p2 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))/\(p2 Y))))))))/\((forall Y : zenon_U, ((~(r1 X Y))\/((~((p3 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p3 X)))))\/((p2 Y)\/(forall X : zenon_U, ((~(r1 Y X))\/((p3 X)\/(~((p2 X)/\((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))/\(p2 X)))))))))))/\(forall Y : zenon_U, ((~(r1 X Y))\/((~((p3 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p3 X)))))\/((p2 Y)\/((p3 Y)\/(~((p2 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))/\(p2 Y)))))))))))))))\/(~((forall Y : zenon_U, ((~(r1 X Y))\/((~((p2 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))))\/(p1 Y))))\/((forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~((p1 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))/\(p1 Y)))))))\/(~((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/((~((p2 X)/\(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))))\/(p1 X))))\/((p2 Y)\/(~((p1 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))/\(p1 Y))))))))/\((forall Y : zenon_U, ((~(r1 X Y))\/((~((p2 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))))\/((p1 Y)\/(forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~((p1 X)/\((forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))/\(p1 X)))))))))))/\(forall Y : zenon_U, ((~(r1 X Y))\/((~((p2 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))))\/((p1 Y)\/((p2 Y)\/(~((p1 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))/\(p1 Y)))))))))))))))))))))))))))))))))).
% 0.18/0.51 Proof.
% 0.18/0.51 apply NNPP. intro zenon_G.
% 0.18/0.51 apply zenon_G. zenon_intro zenon_H1.
% 0.18/0.51 elim zenon_H1. zenon_intro zenon_TX_c. zenon_intro zenon_H3.
% 0.18/0.51 apply (zenon_notor_s _ _ zenon_H3). zenon_intro zenon_H5. zenon_intro zenon_H4.
% 0.18/0.51 apply (zenon_notor_s _ _ zenon_H4). zenon_intro zenon_H7. zenon_intro zenon_H6.
% 0.18/0.51 apply (zenon_notor_s _ _ zenon_H6). zenon_intro zenon_H9. zenon_intro zenon_H8.
% 0.18/0.51 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha.
% 0.18/0.51 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc.
% 0.18/0.51 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He.
% 0.18/0.51 apply (zenon_notor_s _ _ zenon_He). zenon_intro zenon_H11. zenon_intro zenon_H10.
% 0.18/0.51 apply (zenon_notor_s _ _ zenon_H10). zenon_intro zenon_H13. zenon_intro zenon_H12.
% 0.18/0.51 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14.
% 0.18/0.51 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16.
% 0.18/0.51 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18.
% 0.18/0.51 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H19. zenon_intro zenon_H1a.
% 0.18/0.51 apply (zenon_notallex_s (fun Y : zenon_U => ((~(r1 zenon_TX_c Y))\/((p15 Y)\/(~((forall X : zenon_U, ((~(r1 Y X))\/(p15 X)))/\(p15 Y)))))) zenon_H19); [ zenon_intro zenon_H1b; idtac ].
% 0.18/0.51 elim zenon_H1b. zenon_intro zenon_TY_bc. zenon_intro zenon_H1d.
% 0.18/0.51 apply (zenon_notor_s _ _ zenon_H1d). zenon_intro zenon_H1f. zenon_intro zenon_H1e.
% 0.18/0.51 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20.
% 0.18/0.51 apply zenon_H20. zenon_intro zenon_H22.
% 0.18/0.51 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H24. zenon_intro zenon_H23.
% 0.18/0.51 exact (zenon_H21 zenon_H23).
% 0.18/0.51 Qed.
% 0.18/0.51 % SZS output end Proof
% 0.18/0.51 (* END-PROOF *)
% 0.18/0.51 nodes searched: 6
% 0.18/0.51 max branch formulas: 25
% 0.18/0.51 proof nodes created: 6
% 0.18/0.51 formulas created: 1138
% 0.18/0.51
%------------------------------------------------------------------------------