TSTP Solution File: ALG044+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : ALG044+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n019.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 0.42s 0.60s
% Output : Proof 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG044+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.13 % Command : run_zenon %s %d
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 8 01:09:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.42/0.60 (* PROOF-FOUND *)
% 0.42/0.60 % SZS status Theorem
% 0.42/0.60 (* BEGIN-PROOF *)
% 0.42/0.60 % SZS output start Proof
% 0.42/0.60 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))).
% 0.42/0.60 Proof.
% 0.42/0.60 assert (zenon_L1_ : (~((e3) = (e3))) -> False).
% 0.42/0.60 do 0 intro. intros zenon_H4.
% 0.42/0.60 apply zenon_H4. apply refl_equal.
% 0.42/0.60 (* end of lemma zenon_L1_ *)
% 0.42/0.60 assert (zenon_L2_ : (~((e0) = (e0))) -> False).
% 0.42/0.60 do 0 intro. intros zenon_H5.
% 0.42/0.60 apply zenon_H5. apply refl_equal.
% 0.42/0.60 (* end of lemma zenon_L2_ *)
% 0.42/0.60 assert (zenon_L3_ : (~((unit) = (e0))) -> False).
% 0.42/0.60 do 0 intro. intros zenon_H6.
% 0.42/0.60 exact (zenon_H6 ax3).
% 0.42/0.60 (* end of lemma zenon_L3_ *)
% 0.42/0.60 assert (zenon_L4_ : (~((e1) = (e1))) -> False).
% 0.42/0.60 do 0 intro. intros zenon_H7.
% 0.42/0.60 apply zenon_H7. apply refl_equal.
% 0.42/0.60 (* end of lemma zenon_L4_ *)
% 0.42/0.60 assert (zenon_L5_ : (~((e2) = (e2))) -> False).
% 0.42/0.60 do 0 intro. intros zenon_H8.
% 0.42/0.60 apply zenon_H8. apply refl_equal.
% 0.42/0.60 (* end of lemma zenon_L5_ *)
% 0.42/0.60 apply NNPP. intro zenon_G.
% 0.42/0.60 apply (zenon_and_s _ _ ax1). zenon_intro zenon_Ha. zenon_intro zenon_H9.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H9). zenon_intro zenon_Hc. zenon_intro zenon_Hb.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_Hb). zenon_intro zenon_He. zenon_intro zenon_Hd.
% 0.42/0.60 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H10. zenon_intro zenon_Hf.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_Hf). zenon_intro zenon_H12. zenon_intro zenon_H11.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H11). zenon_intro zenon_H14. zenon_intro zenon_H13.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H13). zenon_intro zenon_H16. zenon_intro zenon_H15.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H18. zenon_intro zenon_H17.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H1a. zenon_intro zenon_H19.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1c. zenon_intro zenon_H1b.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H20. zenon_intro zenon_H1f.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H22. zenon_intro zenon_H21.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H24. zenon_intro zenon_H23.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H26. zenon_intro zenon_H25.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H25). zenon_intro zenon_H28. zenon_intro zenon_H27.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H2c. zenon_intro zenon_H2b.
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ].
% 0.42/0.60 apply zenon_H2e. zenon_intro zenon_H2f.
% 0.42/0.60 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ].
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H10. zenon_intro zenon_H32.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H34. zenon_intro zenon_H33.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H2b.
% 0.42/0.60 cut (((op (e2) (e2)) = (e3)) = ((e0) = (e3))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_He.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_H24.
% 0.42/0.60 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 0.42/0.60 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 0.42/0.60 congruence.
% 0.42/0.60 exact (zenon_H36 zenon_H35).
% 0.42/0.60 apply zenon_H4. apply refl_equal.
% 0.42/0.60 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ].
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H3a. zenon_intro zenon_H39.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3e. zenon_intro zenon_H3d.
% 0.42/0.60 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H3f | zenon_intro zenon_H7 ].
% 0.42/0.60 cut (((e1) = (e1)) = ((e0) = (e1))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_Ha.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_H3f.
% 0.42/0.60 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 0.42/0.60 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 0.42/0.60 congruence.
% 0.42/0.60 cut (((op (e3) (e3)) = (e0)) = ((e1) = (e0))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_H40.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_H2b.
% 0.42/0.60 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 0.42/0.60 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 0.42/0.60 congruence.
% 0.42/0.60 exact (zenon_H41 zenon_H3d).
% 0.42/0.60 apply zenon_H5. apply refl_equal.
% 0.42/0.60 apply zenon_H7. apply refl_equal.
% 0.42/0.60 apply zenon_H7. apply refl_equal.
% 0.42/0.60 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H43 | zenon_intro zenon_H42 ].
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H45. zenon_intro zenon_H44.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 0.42/0.60 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H4a | zenon_intro zenon_H8 ].
% 0.42/0.60 cut (((e2) = (e2)) = ((e0) = (e2))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_Hc.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_H4a.
% 0.42/0.60 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H8].
% 0.42/0.60 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 0.42/0.60 congruence.
% 0.42/0.60 cut (((op (e3) (e3)) = (e0)) = ((e2) = (e0))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_H4b.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_H2b.
% 0.42/0.60 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 0.42/0.60 cut (((op (e3) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4c].
% 0.42/0.60 congruence.
% 0.42/0.60 exact (zenon_H4c zenon_H48).
% 0.42/0.60 apply zenon_H5. apply refl_equal.
% 0.42/0.60 apply zenon_H8. apply refl_equal.
% 0.42/0.60 apply zenon_H8. apply refl_equal.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H4e. zenon_intro zenon_H4d.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H1a. zenon_intro zenon_H4f.
% 0.42/0.60 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H24. zenon_intro zenon_H50.
% 0.42/0.60 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H51 | zenon_intro zenon_H4 ].
% 0.42/0.60 cut (((e3) = (e3)) = ((e0) = (e3))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_He.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_H51.
% 0.42/0.60 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 0.42/0.60 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 0.42/0.60 congruence.
% 0.42/0.60 cut (((op (e3) (e3)) = (e0)) = ((e3) = (e0))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_H52.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_H2b.
% 0.42/0.60 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 0.42/0.60 cut (((op (e3) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 0.42/0.60 congruence.
% 0.42/0.60 exact (zenon_H53 zenon_H50).
% 0.42/0.60 apply zenon_H5. apply refl_equal.
% 0.42/0.60 apply zenon_H4. apply refl_equal.
% 0.42/0.60 apply zenon_H4. apply refl_equal.
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_H55 | zenon_intro zenon_H54 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H55). zenon_intro zenon_H57. zenon_intro zenon_H56.
% 0.42/0.60 exact (zenon_H57 zenon_H10).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H54); [ zenon_intro zenon_H59 | zenon_intro zenon_H58 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H59). zenon_intro zenon_H5b. zenon_intro zenon_H5a.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c.
% 0.42/0.60 exact (zenon_H5d zenon_H12).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H58); [ zenon_intro zenon_H5f | zenon_intro zenon_H5e ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H5f). zenon_intro zenon_H61. zenon_intro zenon_H60.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H60). zenon_intro zenon_H63. zenon_intro zenon_H62.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H62). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 0.42/0.60 exact (zenon_H65 zenon_H14).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H5e); [ zenon_intro zenon_H67 | zenon_intro zenon_H66 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H69. zenon_intro zenon_H68.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H68). zenon_intro zenon_H6b. zenon_intro zenon_H6a.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H6a). zenon_intro zenon_H6d. zenon_intro zenon_H6c.
% 0.42/0.60 exact (zenon_H6c zenon_H16).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H66); [ zenon_intro zenon_H6f | zenon_intro zenon_H6e ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H6f). zenon_intro zenon_H71. zenon_intro zenon_H70.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72.
% 0.42/0.60 exact (zenon_H73 zenon_H18).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H6e); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H75). zenon_intro zenon_H77. zenon_intro zenon_H76.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a.
% 0.42/0.60 exact (zenon_H7a zenon_H1a).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H74); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H7d). zenon_intro zenon_H7f. zenon_intro zenon_H7e.
% 0.42/0.60 exact (zenon_H7f zenon_H1c).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H7c); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H81). zenon_intro zenon_H83. zenon_intro zenon_H82.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86.
% 0.42/0.60 exact (zenon_H87 zenon_H1e).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H80); [ zenon_intro zenon_H89 | zenon_intro zenon_H88 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H89). zenon_intro zenon_H8b. zenon_intro zenon_H8a.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H8c). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 0.42/0.60 exact (zenon_H8f zenon_H20).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H88); [ zenon_intro zenon_H91 | zenon_intro zenon_H90 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H91). zenon_intro zenon_H93. zenon_intro zenon_H92.
% 0.42/0.60 exact (zenon_H93 zenon_H22).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H90); [ zenon_intro zenon_H95 | zenon_intro zenon_H94 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H95). zenon_intro zenon_H36. zenon_intro zenon_H96.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H96). zenon_intro zenon_H98. zenon_intro zenon_H97.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H97). zenon_intro zenon_H9a. zenon_intro zenon_H99.
% 0.42/0.60 exact (zenon_H99 zenon_H24).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H94); [ zenon_intro zenon_H9c | zenon_intro zenon_H9b ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H9d.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H9d). zenon_intro zenon_Ha0. zenon_intro zenon_H9f.
% 0.42/0.60 exact (zenon_Ha0 zenon_H26).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H9b); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha1 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_Ha2). zenon_intro zenon_Ha4. zenon_intro zenon_Ha3.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_Ha3). zenon_intro zenon_Ha6. zenon_intro zenon_Ha5.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_Ha5). zenon_intro zenon_Ha8. zenon_intro zenon_Ha7.
% 0.42/0.60 exact (zenon_Ha7 zenon_H28).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_Ha1); [ zenon_intro zenon_Haa | zenon_intro zenon_Ha9 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_Haa). zenon_intro zenon_Hac. zenon_intro zenon_Hab.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_Hab). zenon_intro zenon_Hae. zenon_intro zenon_Had.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_Had). zenon_intro zenon_Hb0. zenon_intro zenon_Haf.
% 0.42/0.60 exact (zenon_Hb0 zenon_H2a).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_Ha9); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb1 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_Hb2). zenon_intro zenon_Hb4. zenon_intro zenon_Hb3.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_Hb3). zenon_intro zenon_Hb6. zenon_intro zenon_Hb5.
% 0.42/0.60 exact (zenon_Hb6 zenon_H2c).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_Hb1); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hb7 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_Hb8). zenon_intro zenon_Hba. zenon_intro zenon_Hb9.
% 0.42/0.60 exact (zenon_Hba zenon_H2b).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_Hb7); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hbb ].
% 0.42/0.60 cut (((op (e0) (e0)) = (e0)) = ((op (unit) (e0)) = (e0))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_Hbc.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_H10.
% 0.42/0.60 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 0.42/0.60 cut (((op (e0) (e0)) = (op (unit) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hbd].
% 0.42/0.60 congruence.
% 0.42/0.60 elim (classic ((op (unit) (e0)) = (op (unit) (e0)))); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hbf ].
% 0.42/0.60 cut (((op (unit) (e0)) = (op (unit) (e0))) = ((op (e0) (e0)) = (op (unit) (e0)))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_Hbd.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_Hbe.
% 0.42/0.60 cut (((op (unit) (e0)) = (op (unit) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hbf].
% 0.42/0.60 cut (((op (unit) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc0].
% 0.42/0.60 congruence.
% 0.42/0.60 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 0.42/0.60 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 0.42/0.60 congruence.
% 0.42/0.60 exact (zenon_H6 ax3).
% 0.42/0.60 apply zenon_H5. apply refl_equal.
% 0.42/0.60 apply zenon_Hbf. apply refl_equal.
% 0.42/0.60 apply zenon_Hbf. apply refl_equal.
% 0.42/0.60 apply zenon_H5. apply refl_equal.
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_Hbb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hc1 ].
% 0.42/0.60 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (unit)) = (e0))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_Hc2.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_H10.
% 0.42/0.60 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 0.42/0.60 cut (((op (e0) (e0)) = (op (e0) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Hc3].
% 0.42/0.60 congruence.
% 0.42/0.60 elim (classic ((op (e0) (unit)) = (op (e0) (unit)))); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc5 ].
% 0.42/0.60 cut (((op (e0) (unit)) = (op (e0) (unit))) = ((op (e0) (e0)) = (op (e0) (unit)))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_Hc3.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_Hc4.
% 0.42/0.60 cut (((op (e0) (unit)) = (op (e0) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Hc5].
% 0.42/0.60 cut (((op (e0) (unit)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc6].
% 0.42/0.60 congruence.
% 0.42/0.60 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 0.42/0.60 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 0.42/0.60 congruence.
% 0.42/0.60 apply zenon_H5. apply refl_equal.
% 0.42/0.60 exact (zenon_H6 ax3).
% 0.42/0.60 apply zenon_Hc5. apply refl_equal.
% 0.42/0.60 apply zenon_Hc5. apply refl_equal.
% 0.42/0.60 apply zenon_H5. apply refl_equal.
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hc7 ].
% 0.42/0.60 cut (((op (e0) (e1)) = (e1)) = ((op (unit) (e1)) = (e1))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_Hc8.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_H12.
% 0.42/0.60 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 0.42/0.60 cut (((op (e0) (e1)) = (op (unit) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hc9].
% 0.42/0.60 congruence.
% 0.42/0.60 elim (classic ((op (unit) (e1)) = (op (unit) (e1)))); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ].
% 0.42/0.60 cut (((op (unit) (e1)) = (op (unit) (e1))) = ((op (e0) (e1)) = (op (unit) (e1)))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_Hc9.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_Hca.
% 0.42/0.60 cut (((op (unit) (e1)) = (op (unit) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hcb].
% 0.42/0.60 cut (((op (unit) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hcc].
% 0.42/0.60 congruence.
% 0.42/0.60 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 0.42/0.60 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 0.42/0.60 congruence.
% 0.42/0.60 exact (zenon_H6 ax3).
% 0.42/0.60 apply zenon_H7. apply refl_equal.
% 0.42/0.60 apply zenon_Hcb. apply refl_equal.
% 0.42/0.60 apply zenon_Hcb. apply refl_equal.
% 0.42/0.60 apply zenon_H7. apply refl_equal.
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_Hc7); [ zenon_intro zenon_Hce | zenon_intro zenon_Hcd ].
% 0.42/0.60 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (unit)) = (e1))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_Hce.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_H18.
% 0.42/0.60 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 0.42/0.60 cut (((op (e1) (e0)) = (op (e1) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 0.42/0.60 congruence.
% 0.42/0.60 elim (classic ((op (e1) (unit)) = (op (e1) (unit)))); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hd1 ].
% 0.42/0.60 cut (((op (e1) (unit)) = (op (e1) (unit))) = ((op (e1) (e0)) = (op (e1) (unit)))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_Hcf.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_Hd0.
% 0.42/0.60 cut (((op (e1) (unit)) = (op (e1) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 0.42/0.60 cut (((op (e1) (unit)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 0.42/0.60 congruence.
% 0.42/0.60 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 0.42/0.60 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 0.42/0.60 congruence.
% 0.42/0.60 apply zenon_H7. apply refl_equal.
% 0.42/0.60 exact (zenon_H6 ax3).
% 0.42/0.60 apply zenon_Hd1. apply refl_equal.
% 0.42/0.60 apply zenon_Hd1. apply refl_equal.
% 0.42/0.60 apply zenon_H7. apply refl_equal.
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_Hcd); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd3 ].
% 0.42/0.60 cut (((op (e0) (e2)) = (e2)) = ((op (unit) (e2)) = (e2))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_Hd4.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_H14.
% 0.42/0.60 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H8].
% 0.42/0.60 cut (((op (e0) (e2)) = (op (unit) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hd5].
% 0.42/0.60 congruence.
% 0.42/0.60 elim (classic ((op (unit) (e2)) = (op (unit) (e2)))); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hd7 ].
% 0.42/0.60 cut (((op (unit) (e2)) = (op (unit) (e2))) = ((op (e0) (e2)) = (op (unit) (e2)))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_Hd5.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_Hd6.
% 0.42/0.60 cut (((op (unit) (e2)) = (op (unit) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hd7].
% 0.42/0.60 cut (((op (unit) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 0.42/0.60 congruence.
% 0.42/0.60 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H8].
% 0.42/0.60 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 0.42/0.60 congruence.
% 0.42/0.60 exact (zenon_H6 ax3).
% 0.42/0.60 apply zenon_H8. apply refl_equal.
% 0.42/0.60 apply zenon_Hd7. apply refl_equal.
% 0.42/0.60 apply zenon_Hd7. apply refl_equal.
% 0.42/0.60 apply zenon_H8. apply refl_equal.
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_Hd3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hd9 ].
% 0.42/0.60 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (unit)) = (e2))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_Hda.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_H20.
% 0.42/0.60 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H8].
% 0.42/0.60 cut (((op (e2) (e0)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 0.42/0.60 congruence.
% 0.42/0.60 elim (classic ((op (e2) (unit)) = (op (e2) (unit)))); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdd ].
% 0.42/0.60 cut (((op (e2) (unit)) = (op (e2) (unit))) = ((op (e2) (e0)) = (op (e2) (unit)))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_Hdb.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_Hdc.
% 0.42/0.60 cut (((op (e2) (unit)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Hdd].
% 0.42/0.60 cut (((op (e2) (unit)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hde].
% 0.42/0.60 congruence.
% 0.42/0.60 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 0.42/0.60 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H8].
% 0.42/0.60 congruence.
% 0.42/0.60 apply zenon_H8. apply refl_equal.
% 0.42/0.60 exact (zenon_H6 ax3).
% 0.42/0.60 apply zenon_Hdd. apply refl_equal.
% 0.42/0.60 apply zenon_Hdd. apply refl_equal.
% 0.42/0.60 apply zenon_H8. apply refl_equal.
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_Hd9); [ zenon_intro zenon_He0 | zenon_intro zenon_Hdf ].
% 0.42/0.60 cut (((op (e0) (e3)) = (e3)) = ((op (unit) (e3)) = (e3))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_He0.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_H16.
% 0.42/0.60 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 0.42/0.60 cut (((op (e0) (e3)) = (op (unit) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He1].
% 0.42/0.60 congruence.
% 0.42/0.60 elim (classic ((op (unit) (e3)) = (op (unit) (e3)))); [ zenon_intro zenon_He2 | zenon_intro zenon_He3 ].
% 0.42/0.60 cut (((op (unit) (e3)) = (op (unit) (e3))) = ((op (e0) (e3)) = (op (unit) (e3)))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_He1.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_He2.
% 0.42/0.60 cut (((op (unit) (e3)) = (op (unit) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He3].
% 0.42/0.60 cut (((op (unit) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He4].
% 0.42/0.60 congruence.
% 0.42/0.60 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 0.42/0.60 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 0.42/0.60 congruence.
% 0.42/0.60 exact (zenon_H6 ax3).
% 0.42/0.60 apply zenon_H4. apply refl_equal.
% 0.42/0.60 apply zenon_He3. apply refl_equal.
% 0.42/0.60 apply zenon_He3. apply refl_equal.
% 0.42/0.60 apply zenon_H4. apply refl_equal.
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_Hdf); [ zenon_intro zenon_He6 | zenon_intro zenon_He5 ].
% 0.42/0.60 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (unit)) = (e3))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_He6.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_H28.
% 0.42/0.60 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 0.42/0.60 cut (((op (e3) (e0)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_He7].
% 0.42/0.60 congruence.
% 0.42/0.60 elim (classic ((op (e3) (unit)) = (op (e3) (unit)))); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ].
% 0.42/0.60 cut (((op (e3) (unit)) = (op (e3) (unit))) = ((op (e3) (e0)) = (op (e3) (unit)))).
% 0.42/0.60 intro zenon_D_pnotp.
% 0.42/0.60 apply zenon_He7.
% 0.42/0.60 rewrite <- zenon_D_pnotp.
% 0.42/0.60 exact zenon_He8.
% 0.42/0.60 cut (((op (e3) (unit)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_He9].
% 0.42/0.60 cut (((op (e3) (unit)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 0.42/0.60 congruence.
% 0.42/0.60 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 0.42/0.60 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 0.42/0.60 congruence.
% 0.42/0.60 apply zenon_H4. apply refl_equal.
% 0.42/0.60 exact (zenon_H6 ax3).
% 0.42/0.60 apply zenon_He9. apply refl_equal.
% 0.42/0.60 apply zenon_He9. apply refl_equal.
% 0.42/0.60 apply zenon_H4. apply refl_equal.
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_He5); [ zenon_intro zenon_Hec | zenon_intro zenon_Heb ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_Hec). zenon_intro zenon_H6. zenon_intro zenon_Hed.
% 0.42/0.60 exact (zenon_H6 ax3).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_Heb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hee ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_Hef). zenon_intro zenon_H57. zenon_intro zenon_Hf0.
% 0.42/0.60 exact (zenon_H57 zenon_H10).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_Hee); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf1 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_Hf2). zenon_intro zenon_H57. zenon_intro zenon_Hf3.
% 0.42/0.60 exact (zenon_H57 zenon_H10).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_Hf1); [ zenon_intro zenon_Hf5 | zenon_intro zenon_Hf4 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_Hf5). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_Hf6). zenon_intro zenon_H5d. zenon_intro zenon_Hf8.
% 0.42/0.60 exact (zenon_H5d zenon_H12).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_Hf4); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hf9 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_Hfa). zenon_intro zenon_Hf7. zenon_intro zenon_Hfb.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_Hfb). zenon_intro zenon_H73. zenon_intro zenon_Hfc.
% 0.42/0.60 exact (zenon_H73 zenon_H18).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_Hf9); [ zenon_intro zenon_Hfe | zenon_intro zenon_Hfd ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_Hfe). zenon_intro zenon_H100. zenon_intro zenon_Hff.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_Hff). zenon_intro zenon_H102. zenon_intro zenon_H101.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H101). zenon_intro zenon_H65. zenon_intro zenon_H6d.
% 0.42/0.60 exact (zenon_H65 zenon_H14).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_Hfd); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H104). zenon_intro zenon_H100. zenon_intro zenon_H105.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H105). zenon_intro zenon_H107. zenon_intro zenon_H106.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H106). zenon_intro zenon_H8f. zenon_intro zenon_Ha8.
% 0.42/0.60 exact (zenon_H8f zenon_H20).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H103); [ zenon_intro zenon_H109 | zenon_intro zenon_H108 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H109). zenon_intro zenon_H10b. zenon_intro zenon_H10a.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H10a). zenon_intro zenon_H10d. zenon_intro zenon_H10c.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H10c). zenon_intro zenon_H64. zenon_intro zenon_H6c.
% 0.42/0.60 exact (zenon_H6c zenon_H16).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H108); [ zenon_intro zenon_H10f | zenon_intro zenon_H10e ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H10f). zenon_intro zenon_H10b. zenon_intro zenon_H110.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H110). zenon_intro zenon_H112. zenon_intro zenon_H111.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H111). zenon_intro zenon_H8e. zenon_intro zenon_Ha7.
% 0.42/0.60 exact (zenon_Ha7 zenon_H28).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H10e); [ zenon_intro zenon_H114 | zenon_intro zenon_H113 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H114). zenon_intro zenon_H71. zenon_intro zenon_H115.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H115). zenon_intro zenon_H77. zenon_intro zenon_H116.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H116). zenon_intro zenon_H7f. zenon_intro zenon_H83.
% 0.42/0.60 exact (zenon_H7f zenon_H1c).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H113); [ zenon_intro zenon_H118 | zenon_intro zenon_H117 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H118). zenon_intro zenon_H5b. zenon_intro zenon_H119.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H119). zenon_intro zenon_H77. zenon_intro zenon_H11a.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H11a). zenon_intro zenon_H93. zenon_intro zenon_Hac.
% 0.42/0.60 exact (zenon_H93 zenon_H22).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H117); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H11c). zenon_intro zenon_H73. zenon_intro zenon_H11d.
% 0.42/0.60 exact (zenon_H73 zenon_H18).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H11b); [ zenon_intro zenon_H11f | zenon_intro zenon_H11e ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H11f). zenon_intro zenon_H5d. zenon_intro zenon_H120.
% 0.42/0.60 exact (zenon_H5d zenon_H12).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H11e); [ zenon_intro zenon_H122 | zenon_intro zenon_H121 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H122). zenon_intro zenon_H107. zenon_intro zenon_H123.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H123). zenon_intro zenon_H7b. zenon_intro zenon_H124.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H124). zenon_intro zenon_H125. zenon_intro zenon_H87.
% 0.42/0.60 exact (zenon_H87 zenon_H1e).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H121); [ zenon_intro zenon_H127 | zenon_intro zenon_H126 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H127). zenon_intro zenon_H102. zenon_intro zenon_H128.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H128). zenon_intro zenon_H7b. zenon_intro zenon_H129.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_Hb0.
% 0.42/0.60 exact (zenon_Hb0 zenon_H2a).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H126); [ zenon_intro zenon_H12c | zenon_intro zenon_H12b ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H12c). zenon_intro zenon_H112. zenon_intro zenon_H12d.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H12d). zenon_intro zenon_H7a. zenon_intro zenon_H12e.
% 0.42/0.60 exact (zenon_H7a zenon_H1a).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H12b); [ zenon_intro zenon_H130 | zenon_intro zenon_H12f ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H130). zenon_intro zenon_H10d. zenon_intro zenon_H131.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H131). zenon_intro zenon_H7a. zenon_intro zenon_H132.
% 0.42/0.60 exact (zenon_H7a zenon_H1a).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H12f); [ zenon_intro zenon_H134 | zenon_intro zenon_H133 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H134). zenon_intro zenon_H8b. zenon_intro zenon_H135.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H135). zenon_intro zenon_H93. zenon_intro zenon_H136.
% 0.42/0.60 exact (zenon_H93 zenon_H22).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H133); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H138). zenon_intro zenon_H61. zenon_intro zenon_H139.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H139). zenon_intro zenon_H7f. zenon_intro zenon_H13a.
% 0.42/0.60 exact (zenon_H7f zenon_H1c).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H137); [ zenon_intro zenon_H13c | zenon_intro zenon_H13b ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H13c). zenon_intro zenon_H8d. zenon_intro zenon_H13d.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H13d). zenon_intro zenon_H13f. zenon_intro zenon_H13e.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H13e). zenon_intro zenon_H98. zenon_intro zenon_Ha0.
% 0.42/0.60 exact (zenon_Ha0 zenon_H26).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H13b); [ zenon_intro zenon_H141 | zenon_intro zenon_H140 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H141). zenon_intro zenon_H63. zenon_intro zenon_H142.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H142). zenon_intro zenon_H144. zenon_intro zenon_H143.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H143). zenon_intro zenon_H98. zenon_intro zenon_Hb6.
% 0.42/0.60 exact (zenon_Hb6 zenon_H2c).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H140); [ zenon_intro zenon_H146 | zenon_intro zenon_H145 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H146). zenon_intro zenon_H8f. zenon_intro zenon_H147.
% 0.42/0.60 exact (zenon_H8f zenon_H20).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H145); [ zenon_intro zenon_H149 | zenon_intro zenon_H148 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H149). zenon_intro zenon_H65. zenon_intro zenon_H14a.
% 0.42/0.60 exact (zenon_H65 zenon_H14).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H148); [ zenon_intro zenon_H14c | zenon_intro zenon_H14b ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H14c). zenon_intro zenon_H8e. zenon_intro zenon_H14d.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H14d). zenon_intro zenon_H14f. zenon_intro zenon_H14e.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H14e). zenon_intro zenon_H99. zenon_intro zenon_H150.
% 0.42/0.60 exact (zenon_H99 zenon_H24).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H14b); [ zenon_intro zenon_H152 | zenon_intro zenon_H151 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H152). zenon_intro zenon_H64. zenon_intro zenon_H153.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_H154.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H154). zenon_intro zenon_H99. zenon_intro zenon_H156.
% 0.42/0.60 exact (zenon_H99 zenon_H24).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H151); [ zenon_intro zenon_H158 | zenon_intro zenon_H157 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H158). zenon_intro zenon_Ha4. zenon_intro zenon_H159.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H159). zenon_intro zenon_Hac. zenon_intro zenon_H15a.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H15a). zenon_intro zenon_Hb4. zenon_intro zenon_Hba.
% 0.42/0.60 exact (zenon_Hba zenon_H2b).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H157); [ zenon_intro zenon_H15c | zenon_intro zenon_H15b ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H15c). zenon_intro zenon_H69. zenon_intro zenon_H15d.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H15d). zenon_intro zenon_H83. zenon_intro zenon_H15e.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H15e). zenon_intro zenon_H9e. zenon_intro zenon_Hba.
% 0.42/0.60 exact (zenon_Hba zenon_H2b).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H15b); [ zenon_intro zenon_H160 | zenon_intro zenon_H15f ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H160). zenon_intro zenon_Ha6. zenon_intro zenon_H161.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H161). zenon_intro zenon_Hae. zenon_intro zenon_H162.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H162). zenon_intro zenon_Hb6. zenon_intro zenon_H41.
% 0.42/0.60 exact (zenon_Hb6 zenon_H2c).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H15f); [ zenon_intro zenon_H164 | zenon_intro zenon_H163 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H164). zenon_intro zenon_H6b. zenon_intro zenon_H165.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H165). zenon_intro zenon_H85. zenon_intro zenon_H166.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H166). zenon_intro zenon_Ha0. zenon_intro zenon_H41.
% 0.42/0.60 exact (zenon_Ha0 zenon_H26).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H163); [ zenon_intro zenon_H168 | zenon_intro zenon_H167 ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H168). zenon_intro zenon_Ha8. zenon_intro zenon_H169.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H169). zenon_intro zenon_Hb0. zenon_intro zenon_H16a.
% 0.42/0.60 exact (zenon_Hb0 zenon_H2a).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H167); [ zenon_intro zenon_H16c | zenon_intro zenon_H16b ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H16c). zenon_intro zenon_H6d. zenon_intro zenon_H16d.
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H16d). zenon_intro zenon_H87. zenon_intro zenon_H16e.
% 0.42/0.60 exact (zenon_H87 zenon_H1e).
% 0.42/0.60 apply (zenon_notand_s _ _ zenon_H16b); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ].
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H170). zenon_intro zenon_Ha7. zenon_intro zenon_H171.
% 0.42/0.60 exact (zenon_Ha7 zenon_H28).
% 0.42/0.60 apply (zenon_notor_s _ _ zenon_H16f). zenon_intro zenon_H6c. zenon_intro zenon_H172.
% 0.42/0.60 exact (zenon_H6c zenon_H16).
% 0.42/0.60 Qed.
% 0.42/0.60 % SZS output end Proof
% 0.42/0.60 (* END-PROOF *)
% 0.42/0.60 nodes searched: 575
% 0.42/0.60 max branch formulas: 80
% 0.42/0.60 proof nodes created: 137
% 0.42/0.60 formulas created: 3764
% 0.42/0.60
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