TSTP Solution File: LCL660+1.001 by Zenon---0.7.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : LCL660+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n007.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 16:23:24 EDT 2022
% Result : Theorem 0.38s 0.61s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LCL660+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14 % Command : run_zenon %s %d
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 4 18:37:27 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.38/0.61 (* PROOF-FOUND *)
% 0.38/0.61 % SZS status Theorem
% 0.38/0.61 (* BEGIN-PROOF *)
% 0.38/0.61 % SZS output start Proof
% 0.38/0.61 Theorem main : (~(exists X : zenon_U, (~(((~(forall Y : zenon_U, ((~(r1 X Y))\/(~(p3 Y)))))/\((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X))))))))))))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p4 Y)))\/((~(forall Y : zenon_U, ((~(r1 X Y))\/((p4 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p4 Y)))\/(~(p4 X))))))))))\/(((~(forall Y : zenon_U, ((~(r1 X Y))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(~(p3 X))))))))/\((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X))))))))))))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))\/((~(forall Y : zenon_U, ((~(r1 X Y))\/((p1 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))\/(~(p1 X))))))))))\/(~(((((forall Y : zenon_U, ((~(r1 X Y))\/(forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(forall Y : zenon_U, ((~(r1 X 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))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X)))))))))))/\((p2 X)\/(~(forall Y : zenon_U, ((~(r1 X 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))\/(forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X)))))))))))\/(~(forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/(~(p2 Y)))))))))))/\((p2 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X))))))))\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(((forall X : zenon_U, ((~(r1 Y X))\/(forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X)))))))))))\/(~(forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/(~(p2 Y)))))))))))/\((p2 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X))))))))))\/(~(((forall Y : zenon_U, ((~(r1 X Y))\/(forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(forall Y : zenon_U, ((~(r1 X 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))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X)))))))))))/\((p2 X)\/(~(forall Y : zenon_U, ((~(r1 X 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)\/(~(forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/(~(p2 Y)))))))))))))))))))))))).
% 0.38/0.61 Proof.
% 0.38/0.61 assert (zenon_L1_ : forall (zenon_TY_g : zenon_U) (zenon_TX_h : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_h Y))\/(((forall X : zenon_U, ((~(r1 Y X))\/(forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X)))))))))))\/(~(forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/(~(p2 Y)))))))))))/\((p2 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X)))))))))) -> (r1 zenon_TX_h zenon_TY_g) -> (~(p2 zenon_TY_g)) -> (forall X : zenon_U, ((~(r1 zenon_TY_g X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X))))) -> False).
% 0.38/0.61 do 2 intro. intros zenon_H2 zenon_H3 zenon_H4 zenon_H5.
% 0.38/0.61 generalize (zenon_H2 zenon_TY_g). zenon_intro zenon_H8.
% 0.38/0.61 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_Ha | zenon_intro zenon_H9 ].
% 0.38/0.61 exact (zenon_Ha zenon_H3).
% 0.38/0.61 apply (zenon_and_s _ _ zenon_H9). zenon_intro zenon_Hc. zenon_intro zenon_Hb.
% 0.38/0.61 apply (zenon_or_s _ _ zenon_Hb); [ zenon_intro zenon_He | zenon_intro zenon_Hd ].
% 0.38/0.61 exact (zenon_H4 zenon_He).
% 0.38/0.61 exact (zenon_Hd zenon_H5).
% 0.38/0.61 (* end of lemma zenon_L1_ *)
% 0.38/0.61 assert (zenon_L2_ : forall (zenon_TX_h : zenon_U), (~((forall Y : zenon_U, ((~(r1 zenon_TX_h Y))\/(forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/(~(p2 Y)))))))))))\/(~(forall Y : zenon_U, ((~(r1 zenon_TX_h Y))\/((p2 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X)))))))))))) -> (~(forall Y : zenon_U, ((~(r1 zenon_TX_h Y))\/((p2 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X)))))))))) -> False).
% 0.38/0.61 do 1 intro. intros zenon_Hf zenon_H10.
% 0.38/0.61 apply (zenon_notor_s _ _ zenon_Hf). zenon_intro zenon_H12. zenon_intro zenon_H11.
% 0.38/0.61 exact (zenon_H11 zenon_H10).
% 0.38/0.61 (* end of lemma zenon_L2_ *)
% 0.38/0.61 assert (zenon_L3_ : forall (zenon_TX_h : zenon_U), (~((p2 zenon_TX_h)\/(~(forall Y : zenon_U, ((~(r1 zenon_TX_h Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/(~(p2 Y)))))))) -> (~(forall Y : zenon_U, ((~(r1 zenon_TX_h Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/(~(p2 Y)))))) -> False).
% 0.38/0.61 do 1 intro. intros zenon_H13 zenon_H14.
% 0.38/0.61 apply (zenon_notor_s _ _ zenon_H13). zenon_intro zenon_H16. zenon_intro zenon_H15.
% 0.38/0.61 exact (zenon_H15 zenon_H14).
% 0.38/0.61 (* end of lemma zenon_L3_ *)
% 0.38/0.61 assert (zenon_L4_ : forall (zenon_TX_ba : zenon_U), (~((forall Y : zenon_U, ((~(r1 zenon_TX_ba Y))\/(p2 Y)))\/(~(forall Y : zenon_U, ((~(r1 zenon_TX_ba Y))\/((p2 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X)))))))))))) -> (forall Y : zenon_U, ((~(r1 zenon_TX_ba Y))\/((p2 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/(~(p2 Y))))))))))))) -> ((((forall Y : zenon_U, ((~(r1 zenon_TX_ba Y))\/(forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/(~(p2 Y)))))))))))\/(~(forall Y : zenon_U, ((~(r1 zenon_TX_ba Y))\/((p2 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X)))))))))))/\((p2 zenon_TX_ba)\/(~(forall Y : zenon_U, ((~(r1 zenon_TX_ba Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/(~(p2 Y))))))))\/(~(forall Y : zenon_U, ((~(r1 zenon_TX_ba Y))\/((((forall X : zenon_U, ((~(r1 Y X))\/(forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X)))))))))))\/(~(forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/(~(p2 Y)))))))))))/\((p2 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X))))))))\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(((forall X : zenon_U, ((~(r1 Y X))\/(forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X)))))))))))\/(~(forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/(~(p2 Y)))))))))))/\((p2 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X))))))))))\/(~(((forall Y : zenon_U, ((~(r1 X Y))\/(forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(forall Y : zenon_U, ((~(r1 X 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))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X)))))))))))/\((p2 X)\/(~(forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/(~(p2 Y)))))))))))))))))) -> False).
% 0.38/0.61 do 1 intro. intros zenon_H17 zenon_H18 zenon_H19.
% 0.38/0.61 apply (zenon_notor_s _ _ zenon_H17). zenon_intro zenon_H1c. zenon_intro zenon_H1b.
% 0.38/0.61 apply (zenon_notallex_s (fun Y : zenon_U => ((~(r1 zenon_TX_ba Y))\/(p2 Y))) zenon_H1c); [ zenon_intro zenon_H1d; idtac ].
% 0.38/0.61 elim zenon_H1d. zenon_intro zenon_TY_be. zenon_intro zenon_H1f.
% 0.38/0.61 apply (zenon_notor_s _ _ zenon_H1f). zenon_intro zenon_H21. zenon_intro zenon_H20.
% 0.38/0.61 apply zenon_H21. zenon_intro zenon_H22.
% 0.38/0.61 apply zenon_H1b. zenon_intro zenon_H23.
% 0.38/0.61 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 0.38/0.61 apply (zenon_and_s _ _ zenon_H25). zenon_intro zenon_H27. zenon_intro zenon_H26.
% 0.38/0.61 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ].
% 0.38/0.61 generalize (zenon_H29 zenon_TY_be). zenon_intro zenon_H2a.
% 0.38/0.61 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ].
% 0.38/0.61 exact (zenon_H2c zenon_H22).
% 0.38/0.61 generalize (zenon_H18 zenon_TY_be). zenon_intro zenon_H2d.
% 0.38/0.61 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H2c | zenon_intro zenon_H2e ].
% 0.38/0.61 exact (zenon_H2c zenon_H22).
% 0.38/0.61 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 0.38/0.61 exact (zenon_H20 zenon_H30).
% 0.38/0.61 exact (zenon_H2f zenon_H2b).
% 0.38/0.61 exact (zenon_H28 zenon_H23).
% 0.38/0.61 apply (zenon_notallex_s (fun Y : zenon_U => ((~(r1 zenon_TX_ba Y))\/((((forall X : zenon_U, ((~(r1 Y X))\/(forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X)))))))))))\/(~(forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/(~(p2 Y)))))))))))/\((p2 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X))))))))\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(((forall X : zenon_U, ((~(r1 Y X))\/(forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X)))))))))))\/(~(forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/(~(p2 Y)))))))))))/\((p2 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X))))))))))\/(~(((forall Y : zenon_U, ((~(r1 X Y))\/(forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(forall Y : zenon_U, ((~(r1 X 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))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X)))))))))))/\((p2 X)\/(~(forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))\/(~(p2 Y)))))))))))))))) zenon_H24); [ zenon_intro zenon_H31; idtac ].
% 0.38/0.61 elim zenon_H31. zenon_intro zenon_TY_by. zenon_intro zenon_H33.
% 0.38/0.61 apply (zenon_notor_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34.
% 0.38/0.61 apply (zenon_notor_s _ _ zenon_H34). zenon_intro zenon_H37. zenon_intro zenon_H36.
% 0.38/0.61 apply zenon_H36. zenon_intro zenon_H38.
% 0.38/0.61 apply zenon_H35. zenon_intro zenon_H39.
% 0.38/0.61 apply (zenon_notand_s _ _ zenon_H37); [ zenon_intro zenon_H3b | zenon_intro zenon_H3a ].
% 0.38/0.61 apply (zenon_notor_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H3c.
% 0.38/0.61 apply (zenon_notallex_s (fun X : zenon_U => ((~(r1 zenon_TY_by X))\/(forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X))))))))))) zenon_H3d); [ zenon_intro zenon_H3e; idtac ].
% 0.38/0.61 elim zenon_H3e. zenon_intro zenon_TX_h. zenon_intro zenon_H3f.
% 0.38/0.61 apply (zenon_notor_s _ _ zenon_H3f). zenon_intro zenon_H40. zenon_intro zenon_H10.
% 0.38/0.61 apply zenon_H40. zenon_intro zenon_H41.
% 0.38/0.61 apply (zenon_notallex_s (fun Y : zenon_U => ((~(r1 zenon_TX_h Y))\/((p2 Y)\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))\/(~(p2 X))))))))) zenon_H10); [ zenon_intro zenon_H42; idtac ].
% 0.38/0.61 elim zenon_H42. zenon_intro zenon_TY_g. zenon_intro zenon_H43.
% 0.38/0.61 apply (zenon_notor_s _ _ zenon_H43). zenon_intro zenon_H45. zenon_intro zenon_H44.
% 0.38/0.61 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H4. zenon_intro zenon_H46.
% 0.38/0.61 apply zenon_H46. zenon_intro zenon_H5.
% 0.38/0.61 apply zenon_H45. zenon_intro zenon_H3.
% 0.38/0.61 apply zenon_H3c. zenon_intro zenon_H47.
% 0.38/0.61 generalize (zenon_H47 zenon_TX_h). zenon_intro zenon_H48.
% 0.38/0.61 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ].
% 0.38/0.61 exact (zenon_H4a zenon_H41).
% 0.38/0.61 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H4b | zenon_intro zenon_H14 ].
% 0.38/0.61 generalize (zenon_H38 zenon_TX_h). zenon_intro zenon_H4c.
% 0.38/0.61 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4a | zenon_intro zenon_H4d ].
% 0.38/0.61 exact (zenon_H4a zenon_H41).
% 0.38/0.61 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H2 | zenon_intro zenon_H4e ].
% 0.38/0.61 apply (zenon_L1_ zenon_TY_g zenon_TX_h); trivial.
% 0.38/0.61 apply (zenon_notand_s _ _ zenon_H4e); [ zenon_intro zenon_Hf | zenon_intro zenon_H13 ].
% 0.38/0.61 apply (zenon_L2_ zenon_TX_h); trivial.
% 0.38/0.61 apply (zenon_notor_s _ _ zenon_H13). zenon_intro zenon_H16. zenon_intro zenon_H15.
% 0.38/0.61 exact (zenon_H16 zenon_H4b).
% 0.38/0.61 generalize (zenon_H38 zenon_TX_h). zenon_intro zenon_H4c.
% 0.38/0.61 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4a | zenon_intro zenon_H4d ].
% 0.38/0.61 exact (zenon_H4a zenon_H41).
% 0.38/0.61 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H2 | zenon_intro zenon_H4e ].
% 0.38/0.61 apply (zenon_L1_ zenon_TY_g zenon_TX_h); trivial.
% 0.38/0.61 apply (zenon_notand_s _ _ zenon_H4e); [ zenon_intro zenon_Hf | zenon_intro zenon_H13 ].
% 0.38/0.61 apply (zenon_L2_ zenon_TX_h); trivial.
% 0.38/0.61 apply (zenon_L3_ zenon_TX_h); trivial.
% 0.38/0.61 apply (zenon_notor_s _ _ zenon_H3a). zenon_intro zenon_H50. zenon_intro zenon_H4f.
% 0.38/0.61 apply zenon_H4f. zenon_intro zenon_H51.
% 0.38/0.61 generalize (zenon_H23 zenon_TY_by). zenon_intro zenon_H52.
% 0.38/0.61 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H54 | zenon_intro zenon_H53 ].
% 0.38/0.61 exact (zenon_H54 zenon_H39).
% 0.38/0.61 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H56 | zenon_intro zenon_H55 ].
% 0.38/0.61 exact (zenon_H50 zenon_H56).
% 0.38/0.61 exact (zenon_H55 zenon_H51).
% 0.38/0.61 (* end of lemma zenon_L4_ *)
% 0.38/0.61 apply NNPP. intro zenon_G.
% 0.38/0.61 apply zenon_G. zenon_intro zenon_H57.
% 0.38/0.61 elim zenon_H57. zenon_intro zenon_TX_ba. zenon_intro zenon_H58.
% 0.38/0.61 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5a. zenon_intro zenon_H59.
% 0.38/0.61 apply (zenon_notor_s _ _ zenon_H59). zenon_intro zenon_H5c. zenon_intro zenon_H5b.
% 0.38/0.61 apply (zenon_notor_s _ _ zenon_H5b). zenon_intro zenon_H5e. zenon_intro zenon_H5d.
% 0.38/0.61 apply (zenon_notor_s _ _ zenon_H5d). zenon_intro zenon_H60. zenon_intro zenon_H5f.
% 0.38/0.61 apply (zenon_notor_s _ _ zenon_H5f). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 0.38/0.61 apply (zenon_notor_s _ _ zenon_H61). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 0.38/0.61 apply zenon_H63. zenon_intro zenon_H65.
% 0.38/0.61 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H19. zenon_intro zenon_H18.
% 0.38/0.61 apply (zenon_notand_s _ _ zenon_H5a); [ zenon_intro zenon_H66 | zenon_intro zenon_H17 ].
% 0.38/0.61 apply zenon_H66. zenon_intro zenon_H67.
% 0.38/0.61 apply (zenon_notand_s _ _ zenon_H60); [ zenon_intro zenon_H68 | zenon_intro zenon_H17 ].
% 0.38/0.61 apply zenon_H68. zenon_intro zenon_H69.
% 0.38/0.61 generalize (zenon_H69 zenon_TX_ba). zenon_intro zenon_H6a.
% 0.38/0.61 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 0.38/0.61 generalize (reflexivity zenon_TX_ba). zenon_intro zenon_H6d.
% 0.38/0.61 exact (zenon_H6c zenon_H6d).
% 0.38/0.61 exact (zenon_H6b zenon_H67).
% 0.38/0.61 apply (zenon_L4_ zenon_TX_ba); trivial.
% 0.38/0.61 apply (zenon_L4_ zenon_TX_ba); trivial.
% 0.38/0.61 Qed.
% 0.38/0.61 % SZS output end Proof
% 0.38/0.61 (* END-PROOF *)
% 0.38/0.61 nodes searched: 2466
% 0.38/0.61 max branch formulas: 616
% 0.38/0.61 proof nodes created: 415
% 0.38/0.61 formulas created: 12380
% 0.38/0.61
%------------------------------------------------------------------------------