TSTP Solution File: ALG043+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : ALG043+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n023.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 : Thu Jul 14 18:29:04 EDT 2022
% Result : Theorem 0.43s 0.59s
% Output : Proof 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG043+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n023.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 : Wed Jun 8 07:15:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.43/0.59 (* PROOF-FOUND *)
% 0.43/0.59 % SZS status Theorem
% 0.43/0.59 (* BEGIN-PROOF *)
% 0.43/0.59 % SZS output start Proof
% 0.43/0.59 Theorem co1 : (((((op (e0) (e0)) = (e0))/\(((op (e1) (e1)) = (e0))/\(((op (e2) (e2)) = (e0))/\((op (e3) (e3)) = (e0)))))\/((((op (e0) (e0)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e2)) = (e1))/\((op (e3) (e3)) = (e1)))))\/((((op (e0) (e0)) = (e2))/\(((op (e1) (e1)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e3) (e3)) = (e2)))))\/(((op (e0) (e0)) = (e3))/\(((op (e1) (e1)) = (e3))/\(((op (e2) (e2)) = (e3))/\((op (e3) (e3)) = (e3))))))))/\((((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3)))))/\((((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3)))))/\((((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3)))))/\((((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3)))))/\((((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3)))))/\((((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3)))))/\((((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3)))))/\((((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3)))))/\((((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3)))))/\((((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3)))))/\((((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3)))))/\((((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3)))))/\((((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3)))))/\((((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3)))))/\((((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3)))))/\((((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3)))))/\(((op (unit) (e0)) = (e0))/\(((op (e0) (unit)) = (e0))/\(((op (unit) (e1)) = (e1))/\(((op (e1) (unit)) = (e1))/\(((op (unit) (e2)) = (e2))/\(((op (e2) (unit)) = (e2))/\(((op (unit) (e3)) = (e3))/\(((op (e3) (unit)) = (e3))/\((((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/((unit) = (e3)))))/\((((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0)))))/\((((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0)))))/\((((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1)))))/\((((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1)))))/\((((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2)))))/\((((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2)))))/\((((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3)))))/\((((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3)))))/\((((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0)))))/\((((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0)))))/\((((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1)))))/\((((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1)))))/\((((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2)))))/\((((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2)))))/\((((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3)))))/\((((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3)))))/\((((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0)))))/\((((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0)))))/\((((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1)))))/\((((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1)))))/\((((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2)))))/\((((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2)))))/\((((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3)))))/\((((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3)))))/\((((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0)))))/\((((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0)))))/\((((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1)))))/\((((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1)))))/\((((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2)))))/\((((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2)))))/\((((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3)))))/\(((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))).
% 0.43/0.59 Proof.
% 0.43/0.59 assert (zenon_L1_ : (~((unit) = (e0))) -> False).
% 0.43/0.59 do 0 intro. intros zenon_H4.
% 0.43/0.59 exact (zenon_H4 ax3).
% 0.43/0.59 (* end of lemma zenon_L1_ *)
% 0.43/0.59 assert (zenon_L2_ : (~((e0) = (e0))) -> False).
% 0.43/0.59 do 0 intro. intros zenon_H5.
% 0.43/0.59 apply zenon_H5. apply refl_equal.
% 0.43/0.59 (* end of lemma zenon_L2_ *)
% 0.43/0.59 assert (zenon_L3_ : (~((e1) = (e1))) -> False).
% 0.43/0.59 do 0 intro. intros zenon_H6.
% 0.43/0.59 apply zenon_H6. apply refl_equal.
% 0.43/0.59 (* end of lemma zenon_L3_ *)
% 0.43/0.59 assert (zenon_L4_ : (~((e2) = (e2))) -> False).
% 0.43/0.59 do 0 intro. intros zenon_H7.
% 0.43/0.59 apply zenon_H7. apply refl_equal.
% 0.43/0.59 (* end of lemma zenon_L4_ *)
% 0.43/0.59 assert (zenon_L5_ : (~((e3) = (e3))) -> False).
% 0.43/0.59 do 0 intro. intros zenon_H8.
% 0.43/0.59 apply zenon_H8. apply refl_equal.
% 0.43/0.59 (* end of lemma zenon_L5_ *)
% 0.43/0.59 apply NNPP. intro zenon_G.
% 0.43/0.59 apply (zenon_and_s _ _ ax2). zenon_intro zenon_Ha. zenon_intro zenon_H9.
% 0.43/0.59 apply (zenon_and_s _ _ zenon_H9). zenon_intro zenon_Hc. zenon_intro zenon_Hb.
% 0.43/0.59 apply (zenon_and_s _ _ zenon_Hb). zenon_intro zenon_He. zenon_intro zenon_Hd.
% 0.43/0.59 apply (zenon_and_s _ _ zenon_Hd). zenon_intro zenon_H10. zenon_intro zenon_Hf.
% 0.43/0.59 apply (zenon_and_s _ _ zenon_Hf). zenon_intro zenon_H12. zenon_intro zenon_H11.
% 0.43/0.59 apply (zenon_and_s _ _ zenon_H11). zenon_intro zenon_H14. zenon_intro zenon_H13.
% 0.43/0.59 apply (zenon_and_s _ _ zenon_H13). zenon_intro zenon_H16. zenon_intro zenon_H15.
% 0.43/0.59 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H18. zenon_intro zenon_H17.
% 0.43/0.59 apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H1a. zenon_intro zenon_H19.
% 0.43/0.59 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1c. zenon_intro zenon_H1b.
% 0.43/0.59 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d.
% 0.43/0.59 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H20. zenon_intro zenon_H1f.
% 0.43/0.59 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H22. zenon_intro zenon_H21.
% 0.43/0.59 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H24. zenon_intro zenon_H23.
% 0.43/0.59 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H26. zenon_intro zenon_H25.
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H2a); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ].
% 0.43/0.59 exact (zenon_H2c zenon_Ha).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H2b); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ].
% 0.43/0.59 exact (zenon_H2e zenon_H14).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 0.43/0.59 exact (zenon_H30 zenon_H1e).
% 0.43/0.59 exact (zenon_H2f zenon_H25).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H27); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H32). zenon_intro zenon_H2c. zenon_intro zenon_H33.
% 0.43/0.59 exact (zenon_H2c zenon_Ha).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H31); [ zenon_intro zenon_H35 | zenon_intro zenon_H34 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H35). zenon_intro zenon_H37. zenon_intro zenon_H36.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H36). zenon_intro zenon_H39. zenon_intro zenon_H38.
% 0.43/0.59 exact (zenon_H39 zenon_Hc).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H34); [ zenon_intro zenon_H3b | zenon_intro zenon_H3a ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H3c.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H3c). zenon_intro zenon_H3f. zenon_intro zenon_H3e.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40.
% 0.43/0.59 exact (zenon_H41 zenon_He).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H3a); [ zenon_intro zenon_H43 | zenon_intro zenon_H42 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H43). zenon_intro zenon_H45. zenon_intro zenon_H44.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 0.43/0.59 exact (zenon_H48 zenon_H10).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H42); [ zenon_intro zenon_H4b | zenon_intro zenon_H4a ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H4b). zenon_intro zenon_H4d. zenon_intro zenon_H4c.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 0.43/0.59 exact (zenon_H4f zenon_H12).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H4a); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H51). zenon_intro zenon_H2e. zenon_intro zenon_H52.
% 0.43/0.59 exact (zenon_H2e zenon_H14).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H50); [ zenon_intro zenon_H54 | zenon_intro zenon_H53 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H55). zenon_intro zenon_H58. zenon_intro zenon_H57.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H57). zenon_intro zenon_H5a. zenon_intro zenon_H59.
% 0.43/0.59 exact (zenon_H59 zenon_H16).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H53); [ zenon_intro zenon_H5c | zenon_intro zenon_H5b ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H5e. zenon_intro zenon_H5d.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H5d). zenon_intro zenon_H60. zenon_intro zenon_H5f.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H5f). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 0.43/0.59 exact (zenon_H62 zenon_H18).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H5b); [ zenon_intro zenon_H64 | zenon_intro zenon_H63 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H65.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69.
% 0.43/0.59 exact (zenon_H6a zenon_H1a).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H63); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H6c). zenon_intro zenon_H6e. zenon_intro zenon_H6d.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H6f). zenon_intro zenon_H72. zenon_intro zenon_H71.
% 0.43/0.59 exact (zenon_H71 zenon_H1c).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H6b); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H30. zenon_intro zenon_H75.
% 0.43/0.59 exact (zenon_H30 zenon_H1e).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H73); [ zenon_intro zenon_H77 | zenon_intro zenon_H76 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H77). zenon_intro zenon_H79. zenon_intro zenon_H78.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a.
% 0.43/0.59 exact (zenon_H7b zenon_H20).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H76); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H7d). zenon_intro zenon_H7f. zenon_intro zenon_H7e.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82.
% 0.43/0.59 exact (zenon_H82 zenon_H22).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H7c); [ zenon_intro zenon_H85 | zenon_intro zenon_H84 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H85). zenon_intro zenon_H87. zenon_intro zenon_H86.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a.
% 0.43/0.59 exact (zenon_H8b zenon_H24).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H84); [ zenon_intro zenon_H8d | zenon_intro zenon_H8c ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H8d). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 0.43/0.59 exact (zenon_H91 zenon_H26).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H8c); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H93). zenon_intro zenon_H2f. zenon_intro zenon_H94.
% 0.43/0.59 exact (zenon_H2f zenon_H25).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H92); [ zenon_intro zenon_H96 | zenon_intro zenon_H95 ].
% 0.43/0.59 cut (((op (e0) (e0)) = (e0)) = ((op (unit) (e0)) = (e0))).
% 0.43/0.59 intro zenon_D_pnotp.
% 0.43/0.59 apply zenon_H96.
% 0.43/0.59 rewrite <- zenon_D_pnotp.
% 0.43/0.59 exact zenon_Ha.
% 0.43/0.59 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 0.43/0.59 cut (((op (e0) (e0)) = (op (unit) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 0.43/0.59 congruence.
% 0.43/0.59 elim (classic ((op (unit) (e0)) = (op (unit) (e0)))); [ zenon_intro zenon_H98 | zenon_intro zenon_H99 ].
% 0.43/0.59 cut (((op (unit) (e0)) = (op (unit) (e0))) = ((op (e0) (e0)) = (op (unit) (e0)))).
% 0.43/0.59 intro zenon_D_pnotp.
% 0.43/0.59 apply zenon_H97.
% 0.43/0.59 rewrite <- zenon_D_pnotp.
% 0.43/0.59 exact zenon_H98.
% 0.43/0.59 cut (((op (unit) (e0)) = (op (unit) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H99].
% 0.43/0.59 cut (((op (unit) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 0.43/0.59 congruence.
% 0.43/0.59 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 0.43/0.59 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 0.43/0.59 congruence.
% 0.43/0.59 exact (zenon_H4 ax3).
% 0.43/0.59 apply zenon_H5. apply refl_equal.
% 0.43/0.59 apply zenon_H99. apply refl_equal.
% 0.43/0.59 apply zenon_H99. apply refl_equal.
% 0.43/0.59 apply zenon_H5. apply refl_equal.
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H95); [ zenon_intro zenon_H9c | zenon_intro zenon_H9b ].
% 0.43/0.59 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (unit)) = (e0))).
% 0.43/0.59 intro zenon_D_pnotp.
% 0.43/0.59 apply zenon_H9c.
% 0.43/0.59 rewrite <- zenon_D_pnotp.
% 0.43/0.59 exact zenon_Ha.
% 0.43/0.59 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 0.43/0.59 cut (((op (e0) (e0)) = (op (e0) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H9d].
% 0.43/0.59 congruence.
% 0.43/0.59 elim (classic ((op (e0) (unit)) = (op (e0) (unit)))); [ zenon_intro zenon_H9e | zenon_intro zenon_H9f ].
% 0.43/0.59 cut (((op (e0) (unit)) = (op (e0) (unit))) = ((op (e0) (e0)) = (op (e0) (unit)))).
% 0.43/0.59 intro zenon_D_pnotp.
% 0.43/0.59 apply zenon_H9d.
% 0.43/0.59 rewrite <- zenon_D_pnotp.
% 0.43/0.59 exact zenon_H9e.
% 0.43/0.59 cut (((op (e0) (unit)) = (op (e0) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H9f].
% 0.43/0.59 cut (((op (e0) (unit)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Ha0].
% 0.43/0.59 congruence.
% 0.43/0.59 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 0.43/0.59 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 0.43/0.59 congruence.
% 0.43/0.59 apply zenon_H5. apply refl_equal.
% 0.43/0.59 exact (zenon_H4 ax3).
% 0.43/0.59 apply zenon_H9f. apply refl_equal.
% 0.43/0.59 apply zenon_H9f. apply refl_equal.
% 0.43/0.59 apply zenon_H5. apply refl_equal.
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H9b); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha1 ].
% 0.43/0.59 cut (((op (e0) (e1)) = (e1)) = ((op (unit) (e1)) = (e1))).
% 0.43/0.59 intro zenon_D_pnotp.
% 0.43/0.59 apply zenon_Ha2.
% 0.43/0.59 rewrite <- zenon_D_pnotp.
% 0.43/0.59 exact zenon_Hc.
% 0.43/0.59 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 0.43/0.59 cut (((op (e0) (e1)) = (op (unit) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 0.43/0.59 congruence.
% 0.43/0.59 elim (classic ((op (unit) (e1)) = (op (unit) (e1)))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha5 ].
% 0.43/0.59 cut (((op (unit) (e1)) = (op (unit) (e1))) = ((op (e0) (e1)) = (op (unit) (e1)))).
% 0.43/0.59 intro zenon_D_pnotp.
% 0.43/0.59 apply zenon_Ha3.
% 0.43/0.59 rewrite <- zenon_D_pnotp.
% 0.43/0.59 exact zenon_Ha4.
% 0.43/0.59 cut (((op (unit) (e1)) = (op (unit) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha5].
% 0.43/0.59 cut (((op (unit) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 0.43/0.59 congruence.
% 0.43/0.59 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 0.43/0.59 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 0.43/0.59 congruence.
% 0.43/0.59 exact (zenon_H4 ax3).
% 0.43/0.59 apply zenon_H6. apply refl_equal.
% 0.43/0.59 apply zenon_Ha5. apply refl_equal.
% 0.43/0.59 apply zenon_Ha5. apply refl_equal.
% 0.43/0.59 apply zenon_H6. apply refl_equal.
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 0.43/0.59 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (unit)) = (e1))).
% 0.43/0.59 intro zenon_D_pnotp.
% 0.43/0.59 apply zenon_Ha8.
% 0.43/0.59 rewrite <- zenon_D_pnotp.
% 0.43/0.59 exact zenon_H12.
% 0.43/0.59 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 0.43/0.59 cut (((op (e1) (e0)) = (op (e1) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 0.43/0.59 congruence.
% 0.43/0.59 elim (classic ((op (e1) (unit)) = (op (e1) (unit)))); [ zenon_intro zenon_Haa | zenon_intro zenon_Hab ].
% 0.43/0.59 cut (((op (e1) (unit)) = (op (e1) (unit))) = ((op (e1) (e0)) = (op (e1) (unit)))).
% 0.43/0.59 intro zenon_D_pnotp.
% 0.43/0.59 apply zenon_Ha9.
% 0.43/0.59 rewrite <- zenon_D_pnotp.
% 0.43/0.59 exact zenon_Haa.
% 0.43/0.59 cut (((op (e1) (unit)) = (op (e1) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Hab].
% 0.43/0.59 cut (((op (e1) (unit)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hac].
% 0.43/0.59 congruence.
% 0.43/0.59 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 0.43/0.59 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 0.43/0.59 congruence.
% 0.43/0.59 apply zenon_H6. apply refl_equal.
% 0.43/0.59 exact (zenon_H4 ax3).
% 0.43/0.59 apply zenon_Hab. apply refl_equal.
% 0.43/0.59 apply zenon_Hab. apply refl_equal.
% 0.43/0.59 apply zenon_H6. apply refl_equal.
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_Ha7); [ zenon_intro zenon_Hae | zenon_intro zenon_Had ].
% 0.43/0.59 cut (((op (e0) (e2)) = (e2)) = ((op (unit) (e2)) = (e2))).
% 0.43/0.59 intro zenon_D_pnotp.
% 0.43/0.59 apply zenon_Hae.
% 0.43/0.59 rewrite <- zenon_D_pnotp.
% 0.43/0.59 exact zenon_He.
% 0.43/0.59 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 0.43/0.59 cut (((op (e0) (e2)) = (op (unit) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 0.43/0.59 congruence.
% 0.43/0.59 elim (classic ((op (unit) (e2)) = (op (unit) (e2)))); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb1 ].
% 0.43/0.59 cut (((op (unit) (e2)) = (op (unit) (e2))) = ((op (e0) (e2)) = (op (unit) (e2)))).
% 0.43/0.59 intro zenon_D_pnotp.
% 0.43/0.59 apply zenon_Haf.
% 0.43/0.59 rewrite <- zenon_D_pnotp.
% 0.43/0.59 exact zenon_Hb0.
% 0.43/0.59 cut (((op (unit) (e2)) = (op (unit) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb1].
% 0.43/0.59 cut (((op (unit) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb2].
% 0.43/0.59 congruence.
% 0.43/0.59 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 0.43/0.59 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 0.43/0.59 congruence.
% 0.43/0.59 exact (zenon_H4 ax3).
% 0.43/0.59 apply zenon_H7. apply refl_equal.
% 0.43/0.59 apply zenon_Hb1. apply refl_equal.
% 0.43/0.59 apply zenon_Hb1. apply refl_equal.
% 0.43/0.59 apply zenon_H7. apply refl_equal.
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_Had); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ].
% 0.43/0.59 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (unit)) = (e2))).
% 0.43/0.59 intro zenon_D_pnotp.
% 0.43/0.59 apply zenon_Hb4.
% 0.43/0.59 rewrite <- zenon_D_pnotp.
% 0.43/0.59 exact zenon_H1a.
% 0.43/0.59 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 0.43/0.59 cut (((op (e2) (e0)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 0.43/0.59 congruence.
% 0.43/0.59 elim (classic ((op (e2) (unit)) = (op (e2) (unit)))); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb7 ].
% 0.43/0.59 cut (((op (e2) (unit)) = (op (e2) (unit))) = ((op (e2) (e0)) = (op (e2) (unit)))).
% 0.43/0.59 intro zenon_D_pnotp.
% 0.43/0.59 apply zenon_Hb5.
% 0.43/0.59 rewrite <- zenon_D_pnotp.
% 0.43/0.59 exact zenon_Hb6.
% 0.43/0.59 cut (((op (e2) (unit)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Hb7].
% 0.43/0.59 cut (((op (e2) (unit)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb8].
% 0.43/0.59 congruence.
% 0.43/0.59 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 0.43/0.59 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 0.43/0.59 congruence.
% 0.43/0.59 apply zenon_H7. apply refl_equal.
% 0.43/0.59 exact (zenon_H4 ax3).
% 0.43/0.59 apply zenon_Hb7. apply refl_equal.
% 0.43/0.59 apply zenon_Hb7. apply refl_equal.
% 0.43/0.59 apply zenon_H7. apply refl_equal.
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_Hb3); [ zenon_intro zenon_Hba | zenon_intro zenon_Hb9 ].
% 0.43/0.59 cut (((op (e0) (e3)) = (e3)) = ((op (unit) (e3)) = (e3))).
% 0.43/0.59 intro zenon_D_pnotp.
% 0.43/0.59 apply zenon_Hba.
% 0.43/0.59 rewrite <- zenon_D_pnotp.
% 0.43/0.59 exact zenon_H10.
% 0.43/0.59 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8].
% 0.43/0.59 cut (((op (e0) (e3)) = (op (unit) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hbb].
% 0.43/0.59 congruence.
% 0.43/0.59 elim (classic ((op (unit) (e3)) = (op (unit) (e3)))); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hbd ].
% 0.43/0.59 cut (((op (unit) (e3)) = (op (unit) (e3))) = ((op (e0) (e3)) = (op (unit) (e3)))).
% 0.43/0.59 intro zenon_D_pnotp.
% 0.43/0.59 apply zenon_Hbb.
% 0.43/0.59 rewrite <- zenon_D_pnotp.
% 0.43/0.59 exact zenon_Hbc.
% 0.43/0.59 cut (((op (unit) (e3)) = (op (unit) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hbd].
% 0.43/0.59 cut (((op (unit) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 0.43/0.59 congruence.
% 0.43/0.59 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8].
% 0.43/0.59 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 0.43/0.59 congruence.
% 0.43/0.59 exact (zenon_H4 ax3).
% 0.43/0.59 apply zenon_H8. apply refl_equal.
% 0.43/0.59 apply zenon_Hbd. apply refl_equal.
% 0.43/0.59 apply zenon_Hbd. apply refl_equal.
% 0.43/0.59 apply zenon_H8. apply refl_equal.
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_Hb9); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hbf ].
% 0.43/0.59 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (unit)) = (e3))).
% 0.43/0.59 intro zenon_D_pnotp.
% 0.43/0.59 apply zenon_Hc0.
% 0.43/0.59 rewrite <- zenon_D_pnotp.
% 0.43/0.59 exact zenon_H22.
% 0.43/0.59 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8].
% 0.43/0.59 cut (((op (e3) (e0)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Hc1].
% 0.43/0.59 congruence.
% 0.43/0.59 elim (classic ((op (e3) (unit)) = (op (e3) (unit)))); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hc3 ].
% 0.43/0.59 cut (((op (e3) (unit)) = (op (e3) (unit))) = ((op (e3) (e0)) = (op (e3) (unit)))).
% 0.43/0.59 intro zenon_D_pnotp.
% 0.43/0.59 apply zenon_Hc1.
% 0.43/0.59 rewrite <- zenon_D_pnotp.
% 0.43/0.59 exact zenon_Hc2.
% 0.43/0.59 cut (((op (e3) (unit)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Hc3].
% 0.43/0.59 cut (((op (e3) (unit)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc4].
% 0.43/0.59 congruence.
% 0.43/0.59 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 0.43/0.59 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8].
% 0.43/0.59 congruence.
% 0.43/0.59 apply zenon_H8. apply refl_equal.
% 0.43/0.59 exact (zenon_H4 ax3).
% 0.43/0.59 apply zenon_Hc3. apply refl_equal.
% 0.43/0.59 apply zenon_Hc3. apply refl_equal.
% 0.43/0.59 apply zenon_H8. apply refl_equal.
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_Hbf); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc5 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_Hc6). zenon_intro zenon_H4. zenon_intro zenon_Hc7.
% 0.43/0.59 exact (zenon_H4 ax3).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_Hc5); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hc8 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_Hc9). zenon_intro zenon_H2c. zenon_intro zenon_Hca.
% 0.43/0.59 exact (zenon_H2c zenon_Ha).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_Hc8); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hcb ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_Hcc). zenon_intro zenon_H2c. zenon_intro zenon_Hcd.
% 0.43/0.59 exact (zenon_H2c zenon_Ha).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_Hcb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hce ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_Hcf). zenon_intro zenon_Hd1. zenon_intro zenon_Hd0.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_Hd0). zenon_intro zenon_H39. zenon_intro zenon_Hd2.
% 0.43/0.59 exact (zenon_H39 zenon_Hc).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_Hce); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd3 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_Hd4). zenon_intro zenon_Hd1. zenon_intro zenon_Hd5.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_Hd5). zenon_intro zenon_H4f. zenon_intro zenon_Hd6.
% 0.43/0.59 exact (zenon_H4f zenon_H12).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_Hd3); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_Hd8). zenon_intro zenon_Hda. zenon_intro zenon_Hd9.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_Hd9). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_Hdb). zenon_intro zenon_H41. zenon_intro zenon_H49.
% 0.43/0.59 exact (zenon_H41 zenon_He).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_Hd7); [ zenon_intro zenon_Hde | zenon_intro zenon_Hdd ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_Hde). zenon_intro zenon_Hda. zenon_intro zenon_Hdf.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_Hdf). zenon_intro zenon_He1. zenon_intro zenon_He0.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_He0). zenon_intro zenon_H6a. zenon_intro zenon_H83.
% 0.43/0.59 exact (zenon_H6a zenon_H1a).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_Hdd); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_He4). zenon_intro zenon_He7. zenon_intro zenon_He6.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_He6). zenon_intro zenon_H40. zenon_intro zenon_H48.
% 0.43/0.59 exact (zenon_H48 zenon_H10).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_He2); [ zenon_intro zenon_He9 | zenon_intro zenon_He8 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_He9). zenon_intro zenon_He5. zenon_intro zenon_Hea.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_Hea). zenon_intro zenon_Hec. zenon_intro zenon_Heb.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_Heb). zenon_intro zenon_H69. zenon_intro zenon_H82.
% 0.43/0.59 exact (zenon_H82 zenon_H22).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_He8); [ zenon_intro zenon_Hee | zenon_intro zenon_Hed ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_Hee). zenon_intro zenon_H4d. zenon_intro zenon_Hef.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_Hef). zenon_intro zenon_H2e. zenon_intro zenon_Hf0.
% 0.43/0.59 exact (zenon_H2e zenon_H14).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_Hed); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf1 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_Hf2). zenon_intro zenon_H37. zenon_intro zenon_Hf3.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_Hf3). zenon_intro zenon_H2e. zenon_intro zenon_Hf4.
% 0.43/0.59 exact (zenon_H2e zenon_H14).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_Hf1); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hf5 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_Hf6). zenon_intro zenon_H4f. zenon_intro zenon_Hf7.
% 0.43/0.59 exact (zenon_H4f zenon_H12).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hf8 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_Hf9). zenon_intro zenon_H39. zenon_intro zenon_Hfa.
% 0.43/0.59 exact (zenon_H39 zenon_Hc).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_Hf8); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_Hfc). zenon_intro zenon_He1. zenon_intro zenon_Hfd.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_Hfd). zenon_intro zenon_Hff. zenon_intro zenon_Hfe.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_Hfe). zenon_intro zenon_H5a. zenon_intro zenon_H62.
% 0.43/0.59 exact (zenon_H62 zenon_H18).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_Hfb); [ zenon_intro zenon_H101 | zenon_intro zenon_H100 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H101). zenon_intro zenon_Hdc. zenon_intro zenon_H102.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H102). zenon_intro zenon_Hff. zenon_intro zenon_H103.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H103). zenon_intro zenon_H72. zenon_intro zenon_H8b.
% 0.43/0.59 exact (zenon_H8b zenon_H24).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H100); [ zenon_intro zenon_H105 | zenon_intro zenon_H104 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H105). zenon_intro zenon_Hec. zenon_intro zenon_H106.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H106). zenon_intro zenon_H108. zenon_intro zenon_H107.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H107). zenon_intro zenon_H59. zenon_intro zenon_H61.
% 0.43/0.59 exact (zenon_H59 zenon_H16).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H104); [ zenon_intro zenon_H10a | zenon_intro zenon_H109 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H10a). zenon_intro zenon_He7. zenon_intro zenon_H10b.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H10b). zenon_intro zenon_H108. zenon_intro zenon_H10c.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H10c). zenon_intro zenon_H71. zenon_intro zenon_H8a.
% 0.43/0.59 exact (zenon_H71 zenon_H1c).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H109); [ zenon_intro zenon_H10e | zenon_intro zenon_H10d ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H10e). zenon_intro zenon_H66. zenon_intro zenon_H10f.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H10f). zenon_intro zenon_H6e. zenon_intro zenon_H110.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H110). zenon_intro zenon_H30. zenon_intro zenon_H79.
% 0.43/0.59 exact (zenon_H30 zenon_H1e).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H10d); [ zenon_intro zenon_H112 | zenon_intro zenon_H111 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H112). zenon_intro zenon_H3d. zenon_intro zenon_H113.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H113). zenon_intro zenon_H56. zenon_intro zenon_H114.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H114). zenon_intro zenon_H30. zenon_intro zenon_H8f.
% 0.43/0.59 exact (zenon_H30 zenon_H1e).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H111); [ zenon_intro zenon_H116 | zenon_intro zenon_H115 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H116). zenon_intro zenon_H68. zenon_intro zenon_H117.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H117). zenon_intro zenon_H70. zenon_intro zenon_H118.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H118). zenon_intro zenon_H119. zenon_intro zenon_H7b.
% 0.43/0.59 exact (zenon_H7b zenon_H20).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H115); [ zenon_intro zenon_H11b | zenon_intro zenon_H11a ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H11b). zenon_intro zenon_H3f. zenon_intro zenon_H11c.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H11c). zenon_intro zenon_H58. zenon_intro zenon_H11d.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H11d). zenon_intro zenon_H119. zenon_intro zenon_H91.
% 0.43/0.59 exact (zenon_H91 zenon_H26).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H11a); [ zenon_intro zenon_H11f | zenon_intro zenon_H11e ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H11f). zenon_intro zenon_H6a. zenon_intro zenon_H120.
% 0.43/0.59 exact (zenon_H6a zenon_H1a).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H11e); [ zenon_intro zenon_H122 | zenon_intro zenon_H121 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H122). zenon_intro zenon_H41. zenon_intro zenon_H123.
% 0.43/0.59 exact (zenon_H41 zenon_He).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H121); [ zenon_intro zenon_H125 | zenon_intro zenon_H124 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H125). zenon_intro zenon_H69. zenon_intro zenon_H126.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H126). zenon_intro zenon_H71. zenon_intro zenon_H127.
% 0.43/0.59 exact (zenon_H71 zenon_H1c).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H124); [ zenon_intro zenon_H129 | zenon_intro zenon_H128 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H129). zenon_intro zenon_H40. zenon_intro zenon_H12a.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H12a). zenon_intro zenon_H59. zenon_intro zenon_H12b.
% 0.43/0.59 exact (zenon_H59 zenon_H16).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H128); [ zenon_intro zenon_H12d | zenon_intro zenon_H12c ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H12d). zenon_intro zenon_H7f. zenon_intro zenon_H12e.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H12e). zenon_intro zenon_H87. zenon_intro zenon_H12f.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H12f). zenon_intro zenon_H8f. zenon_intro zenon_H2f.
% 0.43/0.59 exact (zenon_H2f zenon_H25).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H12c); [ zenon_intro zenon_H131 | zenon_intro zenon_H130 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H131). zenon_intro zenon_H45. zenon_intro zenon_H132.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H132). zenon_intro zenon_H5e. zenon_intro zenon_H133.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H133). zenon_intro zenon_H79. zenon_intro zenon_H2f.
% 0.43/0.59 exact (zenon_H2f zenon_H25).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H130); [ zenon_intro zenon_H135 | zenon_intro zenon_H134 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H135). zenon_intro zenon_H81. zenon_intro zenon_H136.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H136). zenon_intro zenon_H89. zenon_intro zenon_H137.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H137). zenon_intro zenon_H91. zenon_intro zenon_H138.
% 0.43/0.59 exact (zenon_H91 zenon_H26).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H134); [ zenon_intro zenon_H13a | zenon_intro zenon_H139 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H13a). zenon_intro zenon_H47. zenon_intro zenon_H13b.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H13b). zenon_intro zenon_H60. zenon_intro zenon_H13c.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H13c). zenon_intro zenon_H7b. zenon_intro zenon_H138.
% 0.43/0.59 exact (zenon_H7b zenon_H20).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H139); [ zenon_intro zenon_H13e | zenon_intro zenon_H13d ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H13e). zenon_intro zenon_H83. zenon_intro zenon_H13f.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H13f). zenon_intro zenon_H8b. zenon_intro zenon_H140.
% 0.43/0.59 exact (zenon_H8b zenon_H24).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H13d); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H142). zenon_intro zenon_H49. zenon_intro zenon_H143.
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H143). zenon_intro zenon_H62. zenon_intro zenon_H144.
% 0.43/0.59 exact (zenon_H62 zenon_H18).
% 0.43/0.59 apply (zenon_notand_s _ _ zenon_H141); [ zenon_intro zenon_H146 | zenon_intro zenon_H145 ].
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H146). zenon_intro zenon_H82. zenon_intro zenon_H147.
% 0.43/0.59 exact (zenon_H82 zenon_H22).
% 0.43/0.59 apply (zenon_notor_s _ _ zenon_H145). zenon_intro zenon_H48. zenon_intro zenon_H148.
% 0.43/0.59 exact (zenon_H48 zenon_H10).
% 0.43/0.59 Qed.
% 0.43/0.59 % SZS output end Proof
% 0.43/0.59 (* END-PROOF *)
% 0.43/0.59 nodes searched: 547
% 0.43/0.59 max branch formulas: 80
% 0.43/0.59 proof nodes created: 126
% 0.43/0.59 formulas created: 3630
% 0.43/0.59
%------------------------------------------------------------------------------