TSTP Solution File: LCL654+1.001 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : LCL654+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 16:23:14 EDT 2022
% Result : Theorem 0.40s 0.57s
% Output : Proof 0.40s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL654+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n029.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 06:31:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.40/0.57 (* PROOF-FOUND *)
% 0.40/0.57 % SZS status Theorem
% 0.40/0.57 (* BEGIN-PROOF *)
% 0.40/0.57 % SZS output start Proof
% 0.40/0.57 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))\/(~(p1 Y))))))))/\(p1 Y))))))\/((~(forall Y : zenon_U, ((~(r1 X Y))\/(forall X : zenon_U, ((~(r1 Y X))\/(~((~(forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))))))\/((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(~(forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))))\/((~(forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/False))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))))))))))).
% 0.40/0.57 Proof.
% 0.40/0.57 assert (zenon_L1_ : forall (zenon_TX_h : zenon_U) (zenon_TY_i : zenon_U) (zenon_TX_j : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_j Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(~(forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))))))) -> (r1 zenon_TX_j zenon_TY_i) -> (r1 zenon_TY_i zenon_TX_h) -> (forall Y : zenon_U, ((~(r1 zenon_TX_h Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))))) -> (forall X : zenon_U, ((~(r1 zenon_TY_i X))\/(p1 X))) -> False).
% 0.40/0.57 do 3 intro. intros zenon_H2 zenon_H3 zenon_H4 zenon_H5 zenon_H6.
% 0.40/0.57 generalize (zenon_H2 zenon_TY_i). zenon_intro zenon_Ha.
% 0.40/0.57 apply (zenon_or_s _ _ zenon_Ha); [ zenon_intro zenon_Hc | zenon_intro zenon_Hb ].
% 0.40/0.57 exact (zenon_Hc zenon_H3).
% 0.40/0.57 apply (zenon_notand_s _ _ zenon_Hb); [ zenon_intro zenon_He | zenon_intro zenon_Hd ].
% 0.40/0.57 apply zenon_He. zenon_intro zenon_Hf.
% 0.40/0.57 generalize (zenon_Hf zenon_TX_h). zenon_intro zenon_H10.
% 0.40/0.57 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ].
% 0.40/0.57 exact (zenon_H12 zenon_H4).
% 0.40/0.57 exact (zenon_H11 zenon_H5).
% 0.40/0.57 apply zenon_Hd. zenon_intro zenon_H13.
% 0.40/0.57 generalize (zenon_H13 zenon_TY_i). zenon_intro zenon_H14.
% 0.40/0.57 apply (zenon_or_s _ _ zenon_H14); [ zenon_intro zenon_H16 | zenon_intro zenon_H15 ].
% 0.40/0.57 generalize (reflexivity zenon_TY_i). zenon_intro zenon_H17.
% 0.40/0.57 exact (zenon_H16 zenon_H17).
% 0.40/0.57 exact (zenon_H15 zenon_H6).
% 0.40/0.57 (* end of lemma zenon_L1_ *)
% 0.40/0.57 apply NNPP. intro zenon_G.
% 0.40/0.57 apply zenon_G. zenon_intro zenon_H18.
% 0.40/0.57 elim zenon_H18. zenon_intro zenon_TX_j. zenon_intro zenon_H19.
% 0.40/0.57 apply (zenon_notor_s _ _ zenon_H19). zenon_intro zenon_H1b. zenon_intro zenon_H1a.
% 0.40/0.57 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c.
% 0.40/0.57 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e.
% 0.40/0.57 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20.
% 0.40/0.57 apply zenon_H1f. zenon_intro zenon_H2.
% 0.40/0.57 apply zenon_H1d. zenon_intro zenon_H22.
% 0.40/0.57 apply (zenon_notallex_s (fun Y : zenon_U => ((~(r1 zenon_TX_j Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p1 X))))))) zenon_H20); [ zenon_intro zenon_H23; idtac ].
% 0.40/0.57 elim zenon_H23. zenon_intro zenon_TY_i. zenon_intro zenon_H24.
% 0.40/0.57 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H26. zenon_intro zenon_H25.
% 0.40/0.57 apply (zenon_notor_s _ _ zenon_H25). zenon_intro zenon_H28. zenon_intro zenon_H27.
% 0.40/0.57 apply zenon_H27. zenon_intro zenon_H6.
% 0.40/0.57 apply zenon_H26. zenon_intro zenon_H3.
% 0.40/0.57 apply (zenon_notallex_s (fun X : zenon_U => ((~(r1 zenon_TY_i X))\/(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))) zenon_H28); [ zenon_intro zenon_H29; idtac ].
% 0.40/0.57 elim zenon_H29. zenon_intro zenon_TX_h. zenon_intro zenon_H2a.
% 0.40/0.57 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2c. zenon_intro zenon_H2b.
% 0.40/0.57 apply zenon_H2c. zenon_intro zenon_H4.
% 0.40/0.57 generalize (zenon_H22 zenon_TY_i). zenon_intro zenon_H2d.
% 0.40/0.57 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_Hc | zenon_intro zenon_H2e ].
% 0.40/0.57 exact (zenon_Hc zenon_H3).
% 0.40/0.57 generalize (zenon_H2e zenon_TX_h). zenon_intro zenon_H2f.
% 0.40/0.57 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H12 | zenon_intro zenon_H30 ].
% 0.40/0.57 exact (zenon_H12 zenon_H4).
% 0.40/0.57 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 0.40/0.57 apply zenon_H32. zenon_intro zenon_H5.
% 0.40/0.57 apply (zenon_L1_ zenon_TX_h zenon_TY_i zenon_TX_j); trivial.
% 0.40/0.57 exact (zenon_H31 zenon_H2b).
% 0.40/0.57 Qed.
% 0.40/0.57 % SZS output end Proof
% 0.40/0.57 (* END-PROOF *)
% 0.40/0.57 nodes searched: 2536
% 0.40/0.57 max branch formulas: 1252
% 0.40/0.57 proof nodes created: 321
% 0.40/0.57 formulas created: 11829
% 0.40/0.57
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