TSTP Solution File: LCL644+1.010 by Zenon---0.7.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : LCL644+1.010 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n008.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 0.20s 0.50s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL644+1.010 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 3 16:33:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 (* PROOF-FOUND *)
% 0.20/0.50 % SZS status Theorem
% 0.20/0.50 (* BEGIN-PROOF *)
% 0.20/0.50 % SZS output start Proof
% 0.20/0.50 Theorem main : (~(exists X : zenon_U, (~((~((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))\/((~((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))\/((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)))/\(p10 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))))))))))))))))))))))))))))).
% 0.20/0.50 Proof.
% 0.20/0.50 apply NNPP. intro zenon_G.
% 0.20/0.50 apply zenon_G. zenon_intro zenon_H1.
% 0.20/0.50 elim zenon_H1. zenon_intro zenon_TX_c. zenon_intro zenon_H3.
% 0.20/0.50 apply (zenon_notor_s _ _ zenon_H3). zenon_intro zenon_H5. zenon_intro zenon_H4.
% 0.20/0.50 apply (zenon_notor_s _ _ zenon_H4). zenon_intro zenon_H7. zenon_intro zenon_H6.
% 0.20/0.50 apply (zenon_notor_s _ _ zenon_H6). zenon_intro zenon_H9. zenon_intro zenon_H8.
% 0.20/0.50 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha.
% 0.20/0.50 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc.
% 0.20/0.50 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He.
% 0.20/0.50 apply (zenon_notor_s _ _ zenon_He). zenon_intro zenon_H11. zenon_intro zenon_H10.
% 0.20/0.50 apply (zenon_notor_s _ _ zenon_H10). zenon_intro zenon_H13. zenon_intro zenon_H12.
% 0.20/0.50 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H13. zenon_intro zenon_H14.
% 0.20/0.50 apply (zenon_notallex_s (fun Y : zenon_U => ((~(r1 zenon_TX_c Y))\/((p10 Y)\/(~((forall X : zenon_U, ((~(r1 Y X))\/(p10 X)))/\(p10 Y)))))) zenon_H13); [ zenon_intro zenon_H15; idtac ].
% 0.20/0.50 elim zenon_H15. zenon_intro zenon_TY_w. zenon_intro zenon_H17.
% 0.20/0.50 apply (zenon_notor_s _ _ zenon_H17). zenon_intro zenon_H19. zenon_intro zenon_H18.
% 0.20/0.50 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a.
% 0.20/0.50 apply zenon_H1a. zenon_intro zenon_H1c.
% 0.20/0.50 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1e. zenon_intro zenon_H1d.
% 0.20/0.50 exact (zenon_H1b zenon_H1d).
% 0.20/0.50 Qed.
% 0.20/0.50 % SZS output end Proof
% 0.20/0.50 (* END-PROOF *)
% 0.20/0.50 nodes searched: 6
% 0.20/0.50 max branch formulas: 20
% 0.20/0.50 proof nodes created: 6
% 0.20/0.50 formulas created: 786
% 0.20/0.50
%------------------------------------------------------------------------------