TSTP Solution File: ALG065+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : ALG065+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n024.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 18:29:07 EDT 2022
% Result : Theorem 33.91s 34.08s
% Output : Proof 33.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG065+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 8 02:11:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 33.91/34.08 (* PROOF-FOUND *)
% 33.91/34.08 % SZS status Theorem
% 33.91/34.08 (* BEGIN-PROOF *)
% 33.91/34.08 % SZS output start Proof
% 33.91/34.08 Theorem co1 : (~(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e0) (e0)) = (e4)))\/((op (e0) (e4)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e1) (e1)) = (e4)))\/((op (e1) (e4)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\(((~((op (e2) (e2)) = (e4)))\/((op (e2) (e4)) = (e2)))/\(((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))/\(((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))/\(((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))/\(((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))/\(((~((op (e3) (e3)) = (e4)))\/((op (e3) (e4)) = (e3)))/\(((~((op (e4) (e4)) = (e0)))\/((op (e4) (e0)) = (e4)))/\(((~((op (e4) (e4)) = (e1)))\/((op (e4) (e1)) = (e4)))/\(((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4)))/\(((~((op (e4) (e4)) = (e3)))\/((op (e4) (e3)) = (e4)))/\(((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4)))/\((((~((op (e0) (op (e0) (e0))) = (e0)))/\((op (e0) (op (e0) (e0))) = (e0)))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((op (e0) (op (e1) (e0))) = (e1)))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((op (e0) (op (e2) (e0))) = (e2)))\/(((~((op (e3) (op (e3) (e0))) = (e0)))/\((op (e0) (op (e3) (e0))) = (e3)))\/((~((op (e4) (op (e4) (e0))) = (e0)))/\((op (e0) (op (e4) (e0))) = (e4)))))))/\((((~((op (e0) (op (e0) (e1))) = (e1)))/\((op (e1) (op (e0) (e1))) = (e0)))\/(((~((op (e1) (op (e1) (e1))) = (e1)))/\((op (e1) (op (e1) (e1))) = (e1)))\/(((~((op (e2) (op (e2) (e1))) = (e1)))/\((op (e1) (op (e2) (e1))) = (e2)))\/(((~((op (e3) (op (e3) (e1))) = (e1)))/\((op (e1) (op (e3) (e1))) = (e3)))\/((~((op (e4) (op (e4) (e1))) = (e1)))/\((op (e1) (op (e4) (e1))) = (e4)))))))/\((((~((op (e0) (op (e0) (e2))) = (e2)))/\((op (e2) (op (e0) (e2))) = (e0)))\/(((~((op (e1) (op (e1) (e2))) = (e2)))/\((op (e2) (op (e1) (e2))) = (e1)))\/(((~((op (e2) (op (e2) (e2))) = (e2)))/\((op (e2) (op (e2) (e2))) = (e2)))\/(((~((op (e3) (op (e3) (e2))) = (e2)))/\((op (e2) (op (e3) (e2))) = (e3)))\/((~((op (e4) (op (e4) (e2))) = (e2)))/\((op (e2) (op (e4) (e2))) = (e4)))))))/\((((~((op (e0) (op (e0) (e3))) = (e3)))/\((op (e3) (op (e0) (e3))) = (e0)))\/(((~((op (e1) (op (e1) (e3))) = (e3)))/\((op (e3) (op (e1) (e3))) = (e1)))\/(((~((op (e2) (op (e2) (e3))) = (e3)))/\((op (e3) (op (e2) (e3))) = (e2)))\/(((~((op (e3) (op (e3) (e3))) = (e3)))/\((op (e3) (op (e3) (e3))) = (e3)))\/((~((op (e4) (op (e4) (e3))) = (e3)))/\((op (e3) (op (e4) (e3))) = (e4)))))))/\(((~((op (e0) (op (e0) (e4))) = (e4)))/\((op (e4) (op (e0) (e4))) = (e0)))\/(((~((op (e1) (op (e1) (e4))) = (e4)))/\((op (e4) (op (e1) (e4))) = (e1)))\/(((~((op (e2) (op (e2) (e4))) = (e4)))/\((op (e4) (op (e2) (e4))) = (e2)))\/(((~((op (e3) (op (e3) (e4))) = (e4)))/\((op (e4) (op (e3) (e4))) = (e3)))\/((~((op (e4) (op (e4) (e4))) = (e4)))/\((op (e4) (op (e4) (e4))) = (e4))))))))))))))))))))))))))))))))))))).
% 33.91/34.08 Proof.
% 33.91/34.08 assert (zenon_L1_ : (~((e2) = (e2))) -> False).
% 33.91/34.08 do 0 intro. intros zenon_H7.
% 33.91/34.08 apply zenon_H7. apply refl_equal.
% 33.91/34.08 (* end of lemma zenon_L1_ *)
% 33.91/34.08 assert (zenon_L2_ : (~((op (e0) (e2)) = (op (unit) (e2)))) -> ((unit) = (e0)) -> False).
% 33.91/34.08 do 0 intro. intros zenon_H8 zenon_H9.
% 33.91/34.08 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 33.91/34.08 cut (((e0) = (unit))); [idtac | apply NNPP; zenon_intro zenon_Ha].
% 33.91/34.08 congruence.
% 33.91/34.08 apply zenon_Ha. apply sym_equal. exact zenon_H9.
% 33.91/34.08 apply zenon_H7. apply refl_equal.
% 33.91/34.08 (* end of lemma zenon_L2_ *)
% 33.91/34.08 assert (zenon_L3_ : (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((unit) = (e0)) -> ((op (e0) (e3)) = (e2)) -> False).
% 33.91/34.08 do 0 intro. intros zenon_Hb zenon_Hc zenon_H9 zenon_Hd.
% 33.91/34.08 cut (((op (unit) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e0) (e3)))).
% 33.91/34.08 intro zenon_D_pnotp.
% 33.91/34.08 apply zenon_Hb.
% 33.91/34.08 rewrite <- zenon_D_pnotp.
% 33.91/34.08 exact zenon_Hc.
% 33.91/34.08 cut (((e2) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He].
% 33.91/34.08 cut (((op (unit) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf].
% 33.91/34.08 congruence.
% 33.91/34.08 elim (classic ((op (e0) (e2)) = (op (e0) (e2)))); [ zenon_intro zenon_H10 | zenon_intro zenon_H11 ].
% 33.91/34.08 cut (((op (e0) (e2)) = (op (e0) (e2))) = ((op (unit) (e2)) = (op (e0) (e2)))).
% 33.91/34.08 intro zenon_D_pnotp.
% 33.91/34.08 apply zenon_Hf.
% 33.91/34.08 rewrite <- zenon_D_pnotp.
% 33.91/34.08 exact zenon_H10.
% 33.91/34.08 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H11].
% 33.91/34.08 cut (((op (e0) (e2)) = (op (unit) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H8].
% 33.91/34.08 congruence.
% 33.91/34.08 apply (zenon_L2_); trivial.
% 33.91/34.08 apply zenon_H11. apply refl_equal.
% 33.91/34.08 apply zenon_H11. apply refl_equal.
% 33.91/34.08 apply zenon_He. apply sym_equal. exact zenon_Hd.
% 33.91/34.08 (* end of lemma zenon_L3_ *)
% 33.91/34.08 assert (zenon_L4_ : (~((e1) = (e1))) -> False).
% 33.91/34.08 do 0 intro. intros zenon_H12.
% 33.91/34.08 apply zenon_H12. apply refl_equal.
% 33.91/34.08 (* end of lemma zenon_L4_ *)
% 33.91/34.08 assert (zenon_L5_ : (~((op (e1) (e1)) = (op (unit) (e1)))) -> ((unit) = (e1)) -> False).
% 33.91/34.08 do 0 intro. intros zenon_H13 zenon_H14.
% 33.91/34.08 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 33.91/34.08 cut (((e1) = (unit))); [idtac | apply NNPP; zenon_intro zenon_H15].
% 33.91/34.08 congruence.
% 33.91/34.08 apply zenon_H15. apply sym_equal. exact zenon_H14.
% 33.91/34.08 apply zenon_H12. apply refl_equal.
% 33.91/34.08 (* end of lemma zenon_L5_ *)
% 33.91/34.08 assert (zenon_L6_ : ((op (unit) (e1)) = (e1)) -> ((unit) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False).
% 33.91/34.08 do 0 intro. intros zenon_H16 zenon_H14 zenon_H17 zenon_H18.
% 33.91/34.08 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_H19 | zenon_intro zenon_H1a ].
% 33.91/34.08 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (e1) (e0)) = (op (e1) (e1)))).
% 33.91/34.08 intro zenon_D_pnotp.
% 33.91/34.08 apply zenon_H18.
% 33.91/34.08 rewrite <- zenon_D_pnotp.
% 33.91/34.08 exact zenon_H19.
% 33.91/34.08 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a].
% 33.91/34.08 cut (((op (e1) (e1)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1b].
% 33.91/34.08 congruence.
% 33.91/34.08 cut (((op (unit) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e1) (e0)))).
% 33.91/34.08 intro zenon_D_pnotp.
% 33.91/34.08 apply zenon_H1b.
% 33.91/34.08 rewrite <- zenon_D_pnotp.
% 33.91/34.08 exact zenon_H16.
% 33.91/34.08 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1c].
% 33.91/34.08 cut (((op (unit) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 33.91/34.08 congruence.
% 33.91/34.08 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_H19 | zenon_intro zenon_H1a ].
% 33.91/34.08 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (unit) (e1)) = (op (e1) (e1)))).
% 33.91/34.08 intro zenon_D_pnotp.
% 33.91/34.08 apply zenon_H1d.
% 33.91/34.08 rewrite <- zenon_D_pnotp.
% 33.91/34.08 exact zenon_H19.
% 33.91/34.08 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a].
% 33.91/34.08 cut (((op (e1) (e1)) = (op (unit) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H13].
% 33.91/34.08 congruence.
% 33.91/34.08 apply (zenon_L5_); trivial.
% 33.91/34.08 apply zenon_H1a. apply refl_equal.
% 33.91/34.08 apply zenon_H1a. apply refl_equal.
% 33.91/34.08 apply zenon_H1c. apply sym_equal. exact zenon_H17.
% 33.91/34.08 apply zenon_H1a. apply refl_equal.
% 33.91/34.08 apply zenon_H1a. apply refl_equal.
% 33.91/34.08 (* end of lemma zenon_L6_ *)
% 33.91/34.08 assert (zenon_L7_ : (~((e3) = (e3))) -> False).
% 33.91/34.08 do 0 intro. intros zenon_H1e.
% 33.91/34.08 apply zenon_H1e. apply refl_equal.
% 33.91/34.08 (* end of lemma zenon_L7_ *)
% 33.91/34.08 assert (zenon_L8_ : (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((unit) = (e2)) -> ((e3) = (op (e2) (e4))) -> False).
% 33.91/34.08 do 0 intro. intros zenon_H1f zenon_H20 zenon_H21 zenon_H22.
% 33.91/34.08 cut (((op (unit) (e3)) = (e3)) = ((op (e2) (e3)) = (op (e2) (e4)))).
% 33.91/34.08 intro zenon_D_pnotp.
% 33.91/34.08 apply zenon_H1f.
% 33.91/34.08 rewrite <- zenon_D_pnotp.
% 33.91/34.08 exact zenon_H20.
% 33.91/34.08 cut (((e3) = (op (e2) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 33.91/34.08 cut (((op (unit) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H24].
% 33.91/34.08 congruence.
% 33.91/34.08 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H25 | zenon_intro zenon_H26 ].
% 33.91/34.08 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (unit) (e3)) = (op (e2) (e3)))).
% 33.91/34.08 intro zenon_D_pnotp.
% 33.91/34.08 apply zenon_H24.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H25.
% 33.91/34.09 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 33.91/34.09 cut (((op (e2) (e3)) = (op (unit) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 33.91/34.09 congruence.
% 33.91/34.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 33.91/34.09 cut (((e2) = (unit))); [idtac | apply NNPP; zenon_intro zenon_H28].
% 33.91/34.09 congruence.
% 33.91/34.09 apply zenon_H28. apply sym_equal. exact zenon_H21.
% 33.91/34.09 apply zenon_H1e. apply refl_equal.
% 33.91/34.09 apply zenon_H26. apply refl_equal.
% 33.91/34.09 apply zenon_H26. apply refl_equal.
% 33.91/34.09 exact (zenon_H23 zenon_H22).
% 33.91/34.09 (* end of lemma zenon_L8_ *)
% 33.91/34.09 assert (zenon_L9_ : (~((op (e1) (e3)) = (op (e1) (unit)))) -> ((unit) = (e3)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H29 zenon_H2a.
% 33.91/34.09 cut (((e3) = (unit))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 33.91/34.09 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 33.91/34.09 congruence.
% 33.91/34.09 apply zenon_H12. apply refl_equal.
% 33.91/34.09 apply zenon_H2b. apply sym_equal. exact zenon_H2a.
% 33.91/34.09 (* end of lemma zenon_L9_ *)
% 33.91/34.09 assert (zenon_L10_ : ((op (e1) (unit)) = (e1)) -> ((unit) = (e3)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H2c zenon_H2a zenon_H17 zenon_H2d.
% 33.91/34.09 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 33.91/34.09 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e0)) = (op (e1) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H2d.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H2e.
% 33.91/34.09 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 33.91/34.09 cut (((op (e1) (e3)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 33.91/34.09 congruence.
% 33.91/34.09 cut (((op (e1) (unit)) = (e1)) = ((op (e1) (e3)) = (op (e1) (e0)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H30.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H2c.
% 33.91/34.09 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1c].
% 33.91/34.09 cut (((op (e1) (unit)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H31].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 33.91/34.09 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (unit)) = (op (e1) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H31.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H2e.
% 33.91/34.09 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 33.91/34.09 cut (((op (e1) (e3)) = (op (e1) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L9_); trivial.
% 33.91/34.09 apply zenon_H2f. apply refl_equal.
% 33.91/34.09 apply zenon_H2f. apply refl_equal.
% 33.91/34.09 apply zenon_H1c. apply sym_equal. exact zenon_H17.
% 33.91/34.09 apply zenon_H2f. apply refl_equal.
% 33.91/34.09 apply zenon_H2f. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L10_ *)
% 33.91/34.09 assert (zenon_L11_ : (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((unit) = (e4)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H32 zenon_H16 zenon_H33 zenon_H34.
% 33.91/34.09 cut (((op (unit) (e1)) = (e1)) = ((op (e4) (e1)) = (op (e4) (e2)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H32.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H16.
% 33.91/34.09 cut (((e1) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H35].
% 33.91/34.09 cut (((op (unit) (e1)) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e4) (e1)) = (op (e4) (e1)))); [ zenon_intro zenon_H37 | zenon_intro zenon_H38 ].
% 33.91/34.09 cut (((op (e4) (e1)) = (op (e4) (e1))) = ((op (unit) (e1)) = (op (e4) (e1)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H36.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H37.
% 33.91/34.09 cut (((op (e4) (e1)) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 33.91/34.09 cut (((op (e4) (e1)) = (op (unit) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H39].
% 33.91/34.09 congruence.
% 33.91/34.09 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 33.91/34.09 cut (((e4) = (unit))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 33.91/34.09 congruence.
% 33.91/34.09 apply zenon_H3a. apply sym_equal. exact zenon_H33.
% 33.91/34.09 apply zenon_H12. apply refl_equal.
% 33.91/34.09 apply zenon_H38. apply refl_equal.
% 33.91/34.09 apply zenon_H38. apply refl_equal.
% 33.91/34.09 exact (zenon_H35 zenon_H34).
% 33.91/34.09 (* end of lemma zenon_L11_ *)
% 33.91/34.09 assert (zenon_L12_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e0) (e3)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H3b zenon_Hd zenon_Hc zenon_Hb zenon_H18 zenon_H22 zenon_H20 zenon_H1f zenon_H2d zenon_H17 zenon_H2c zenon_H32 zenon_H16 zenon_H34.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.09 apply (zenon_L3_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.09 apply (zenon_L6_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.09 apply (zenon_L8_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.09 apply (zenon_L10_); trivial.
% 33.91/34.09 apply (zenon_L11_); trivial.
% 33.91/34.09 (* end of lemma zenon_L12_ *)
% 33.91/34.09 assert (zenon_L13_ : (~((e0) = (e0))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H3f.
% 33.91/34.09 apply zenon_H3f. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L13_ *)
% 33.91/34.09 assert (zenon_L14_ : (~((op (e0) (e0)) = (op (unit) (e0)))) -> ((unit) = (e0)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H40 zenon_H9.
% 33.91/34.09 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 33.91/34.09 cut (((e0) = (unit))); [idtac | apply NNPP; zenon_intro zenon_Ha].
% 33.91/34.09 congruence.
% 33.91/34.09 apply zenon_Ha. apply sym_equal. exact zenon_H9.
% 33.91/34.09 apply zenon_H3f. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L14_ *)
% 33.91/34.09 assert (zenon_L15_ : (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (unit) (e0)) = (e0)) -> ((unit) = (e0)) -> ((op (e0) (e1)) = (e0)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H41 zenon_H42 zenon_H9 zenon_H43.
% 33.91/34.09 cut (((op (unit) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e0) (e1)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H41.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H42.
% 33.91/34.09 cut (((e0) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 33.91/34.09 cut (((op (unit) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e0) (e0)) = (op (e0) (e0)))); [ zenon_intro zenon_H46 | zenon_intro zenon_H47 ].
% 33.91/34.09 cut (((op (e0) (e0)) = (op (e0) (e0))) = ((op (unit) (e0)) = (op (e0) (e0)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H45.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H46.
% 33.91/34.09 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H47].
% 33.91/34.09 cut (((op (e0) (e0)) = (op (unit) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L14_); trivial.
% 33.91/34.09 apply zenon_H47. apply refl_equal.
% 33.91/34.09 apply zenon_H47. apply refl_equal.
% 33.91/34.09 apply zenon_H44. apply sym_equal. exact zenon_H43.
% 33.91/34.09 (* end of lemma zenon_L15_ *)
% 33.91/34.09 assert (zenon_L16_ : (~((op (e1) (e2)) = (op (unit) (e2)))) -> ((unit) = (e1)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H48 zenon_H14.
% 33.91/34.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 33.91/34.09 cut (((e1) = (unit))); [idtac | apply NNPP; zenon_intro zenon_H15].
% 33.91/34.09 congruence.
% 33.91/34.09 apply zenon_H15. apply sym_equal. exact zenon_H14.
% 33.91/34.09 apply zenon_H7. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L16_ *)
% 33.91/34.09 assert (zenon_L17_ : (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((unit) = (e1)) -> ((op (e1) (e3)) = (e2)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H49 zenon_Hc zenon_H14 zenon_H4a.
% 33.91/34.09 cut (((op (unit) (e2)) = (e2)) = ((op (e1) (e2)) = (op (e1) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H49.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_Hc.
% 33.91/34.09 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 33.91/34.09 cut (((op (unit) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H4c].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 33.91/34.09 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (unit) (e2)) = (op (e1) (e2)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H4c.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H4d.
% 33.91/34.09 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 33.91/34.09 cut (((op (e1) (e2)) = (op (unit) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L16_); trivial.
% 33.91/34.09 apply zenon_H4e. apply refl_equal.
% 33.91/34.09 apply zenon_H4e. apply refl_equal.
% 33.91/34.09 apply zenon_H4b. apply sym_equal. exact zenon_H4a.
% 33.91/34.09 (* end of lemma zenon_L17_ *)
% 33.91/34.09 assert (zenon_L18_ : (~((op (e0) (e3)) = (op (e0) (unit)))) -> ((unit) = (e3)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H4f zenon_H2a.
% 33.91/34.09 cut (((e3) = (unit))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 33.91/34.09 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 33.91/34.09 congruence.
% 33.91/34.09 apply zenon_H3f. apply refl_equal.
% 33.91/34.09 apply zenon_H2b. apply sym_equal. exact zenon_H2a.
% 33.91/34.09 (* end of lemma zenon_L18_ *)
% 33.91/34.09 assert (zenon_L19_ : ((op (e0) (unit)) = (e0)) -> ((unit) = (e3)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H50 zenon_H2a zenon_H43 zenon_H51.
% 33.91/34.09 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H52 | zenon_intro zenon_H53 ].
% 33.91/34.09 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e1)) = (op (e0) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H51.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H52.
% 33.91/34.09 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 33.91/34.09 cut (((op (e0) (e3)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 33.91/34.09 congruence.
% 33.91/34.09 cut (((op (e0) (unit)) = (e0)) = ((op (e0) (e3)) = (op (e0) (e1)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H54.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H50.
% 33.91/34.09 cut (((e0) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 33.91/34.09 cut (((op (e0) (unit)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H52 | zenon_intro zenon_H53 ].
% 33.91/34.09 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (unit)) = (op (e0) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H55.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H52.
% 33.91/34.09 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 33.91/34.09 cut (((op (e0) (e3)) = (op (e0) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H4f].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L18_); trivial.
% 33.91/34.09 apply zenon_H53. apply refl_equal.
% 33.91/34.09 apply zenon_H53. apply refl_equal.
% 33.91/34.09 apply zenon_H44. apply sym_equal. exact zenon_H43.
% 33.91/34.09 apply zenon_H53. apply refl_equal.
% 33.91/34.09 apply zenon_H53. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L19_ *)
% 33.91/34.09 assert (zenon_L20_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e3)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (unit)) = (e0)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H3b zenon_H42 zenon_H41 zenon_H4a zenon_Hc zenon_H49 zenon_H22 zenon_H20 zenon_H1f zenon_H51 zenon_H43 zenon_H50 zenon_H32 zenon_H16 zenon_H34.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.09 apply (zenon_L15_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.09 apply (zenon_L17_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.09 apply (zenon_L8_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.09 apply (zenon_L19_); trivial.
% 33.91/34.09 apply (zenon_L11_); trivial.
% 33.91/34.09 (* end of lemma zenon_L20_ *)
% 33.91/34.09 assert (zenon_L21_ : (~((op (e2) (e0)) = (op (e2) (unit)))) -> ((unit) = (e0)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H56 zenon_H9.
% 33.91/34.09 cut (((e0) = (unit))); [idtac | apply NNPP; zenon_intro zenon_Ha].
% 33.91/34.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 33.91/34.09 congruence.
% 33.91/34.09 apply zenon_H7. apply refl_equal.
% 33.91/34.09 apply zenon_Ha. apply sym_equal. exact zenon_H9.
% 33.91/34.09 (* end of lemma zenon_L21_ *)
% 33.91/34.09 assert (zenon_L22_ : (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> ((unit) = (e0)) -> ((op (e2) (e3)) = (e2)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H57 zenon_H58 zenon_H9 zenon_H59.
% 33.91/34.09 cut (((op (e2) (unit)) = (e2)) = ((op (e2) (e0)) = (op (e2) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H57.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H58.
% 33.91/34.09 cut (((e2) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 33.91/34.09 cut (((op (e2) (unit)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H5b].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e2) (e0)) = (op (e2) (e0)))); [ zenon_intro zenon_H5c | zenon_intro zenon_H5d ].
% 33.91/34.09 cut (((op (e2) (e0)) = (op (e2) (e0))) = ((op (e2) (unit)) = (op (e2) (e0)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H5b.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H5c.
% 33.91/34.09 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 33.91/34.09 cut (((op (e2) (e0)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L21_); trivial.
% 33.91/34.09 apply zenon_H5d. apply refl_equal.
% 33.91/34.09 apply zenon_H5d. apply refl_equal.
% 33.91/34.09 apply zenon_H5a. apply sym_equal. exact zenon_H59.
% 33.91/34.09 (* end of lemma zenon_L22_ *)
% 33.91/34.09 assert (zenon_L23_ : (~((op (e3) (e1)) = (op (e3) (unit)))) -> ((unit) = (e1)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H5e zenon_H14.
% 33.91/34.09 cut (((e1) = (unit))); [idtac | apply NNPP; zenon_intro zenon_H15].
% 33.91/34.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 33.91/34.09 congruence.
% 33.91/34.09 apply zenon_H1e. apply refl_equal.
% 33.91/34.09 apply zenon_H15. apply sym_equal. exact zenon_H14.
% 33.91/34.09 (* end of lemma zenon_L23_ *)
% 33.91/34.09 assert (zenon_L24_ : ((op (e3) (unit)) = (e3)) -> ((unit) = (e1)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H5f zenon_H14 zenon_H60 zenon_H61.
% 33.91/34.09 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H62 | zenon_intro zenon_H63 ].
% 33.91/34.09 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e3) (e0)) = (op (e3) (e1)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H61.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H62.
% 33.91/34.09 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H63].
% 33.91/34.09 cut (((op (e3) (e1)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 33.91/34.09 congruence.
% 33.91/34.09 cut (((op (e3) (unit)) = (e3)) = ((op (e3) (e1)) = (op (e3) (e0)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H64.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H5f.
% 33.91/34.09 cut (((e3) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H65].
% 33.91/34.09 cut (((op (e3) (unit)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H62 | zenon_intro zenon_H63 ].
% 33.91/34.09 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e3) (unit)) = (op (e3) (e1)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H66.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H62.
% 33.91/34.09 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H63].
% 33.91/34.09 cut (((op (e3) (e1)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L23_); trivial.
% 33.91/34.09 apply zenon_H63. apply refl_equal.
% 33.91/34.09 apply zenon_H63. apply refl_equal.
% 33.91/34.09 apply zenon_H65. apply sym_equal. exact zenon_H60.
% 33.91/34.09 apply zenon_H63. apply refl_equal.
% 33.91/34.09 apply zenon_H63. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L24_ *)
% 33.91/34.09 assert (zenon_L25_ : (~((op (e3) (e3)) = (op (unit) (e3)))) -> ((unit) = (e3)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H67 zenon_H2a.
% 33.91/34.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 33.91/34.09 cut (((e3) = (unit))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 33.91/34.09 congruence.
% 33.91/34.09 apply zenon_H2b. apply sym_equal. exact zenon_H2a.
% 33.91/34.09 apply zenon_H1e. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L25_ *)
% 33.91/34.09 assert (zenon_L26_ : ((op (unit) (e3)) = (e3)) -> ((unit) = (e3)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H20 zenon_H2a zenon_H60 zenon_H68.
% 33.91/34.09 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 33.91/34.09 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e0)) = (op (e3) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H68.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H69.
% 33.91/34.09 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 33.91/34.09 cut (((op (e3) (e3)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 33.91/34.09 congruence.
% 33.91/34.09 cut (((op (unit) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e3) (e0)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H6b.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H20.
% 33.91/34.09 cut (((e3) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H65].
% 33.91/34.09 cut (((op (unit) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 33.91/34.09 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (unit) (e3)) = (op (e3) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H6c.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H69.
% 33.91/34.09 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 33.91/34.09 cut (((op (e3) (e3)) = (op (unit) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H67].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L25_); trivial.
% 33.91/34.09 apply zenon_H6a. apply refl_equal.
% 33.91/34.09 apply zenon_H6a. apply refl_equal.
% 33.91/34.09 apply zenon_H65. apply sym_equal. exact zenon_H60.
% 33.91/34.09 apply zenon_H6a. apply refl_equal.
% 33.91/34.09 apply zenon_H6a. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L26_ *)
% 33.91/34.09 assert (zenon_L27_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> ((op (unit) (e3)) = (e3)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H3b zenon_H59 zenon_H58 zenon_H57 zenon_H61 zenon_H5f zenon_H22 zenon_H1f zenon_H68 zenon_H60 zenon_H20 zenon_H32 zenon_H16 zenon_H34.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.09 apply (zenon_L22_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.09 apply (zenon_L24_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.09 apply (zenon_L8_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.09 apply (zenon_L26_); trivial.
% 33.91/34.09 apply (zenon_L11_); trivial.
% 33.91/34.09 (* end of lemma zenon_L27_ *)
% 33.91/34.09 assert (zenon_L28_ : (~((op (e2) (e1)) = (op (e2) (unit)))) -> ((unit) = (e1)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H6d zenon_H14.
% 33.91/34.09 cut (((e1) = (unit))); [idtac | apply NNPP; zenon_intro zenon_H15].
% 33.91/34.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 33.91/34.09 congruence.
% 33.91/34.09 apply zenon_H7. apply refl_equal.
% 33.91/34.09 apply zenon_H15. apply sym_equal. exact zenon_H14.
% 33.91/34.09 (* end of lemma zenon_L28_ *)
% 33.91/34.09 assert (zenon_L29_ : (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> ((unit) = (e1)) -> ((op (e2) (e3)) = (e2)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H6e zenon_H58 zenon_H14 zenon_H59.
% 33.91/34.09 cut (((op (e2) (unit)) = (e2)) = ((op (e2) (e1)) = (op (e2) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H6e.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H58.
% 33.91/34.09 cut (((e2) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 33.91/34.09 cut (((op (e2) (unit)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H70 | zenon_intro zenon_H71 ].
% 33.91/34.09 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e2) (unit)) = (op (e2) (e1)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H6f.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H70.
% 33.91/34.09 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 33.91/34.09 cut (((op (e2) (e1)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H6d].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L28_); trivial.
% 33.91/34.09 apply zenon_H71. apply refl_equal.
% 33.91/34.09 apply zenon_H71. apply refl_equal.
% 33.91/34.09 apply zenon_H5a. apply sym_equal. exact zenon_H59.
% 33.91/34.09 (* end of lemma zenon_L29_ *)
% 33.91/34.09 assert (zenon_L30_ : ((op (unit) (e3)) = (e3)) -> ((unit) = (e3)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H20 zenon_H2a zenon_H72 zenon_H73.
% 33.91/34.09 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 33.91/34.09 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e1)) = (op (e3) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H73.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H69.
% 33.91/34.09 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 33.91/34.09 cut (((op (e3) (e3)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H74].
% 33.91/34.09 congruence.
% 33.91/34.09 cut (((op (unit) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e3) (e1)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H74.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H20.
% 33.91/34.09 cut (((e3) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H75].
% 33.91/34.09 cut (((op (unit) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 33.91/34.09 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (unit) (e3)) = (op (e3) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H6c.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H69.
% 33.91/34.09 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 33.91/34.09 cut (((op (e3) (e3)) = (op (unit) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H67].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L25_); trivial.
% 33.91/34.09 apply zenon_H6a. apply refl_equal.
% 33.91/34.09 apply zenon_H6a. apply refl_equal.
% 33.91/34.09 apply zenon_H75. apply sym_equal. exact zenon_H72.
% 33.91/34.09 apply zenon_H6a. apply refl_equal.
% 33.91/34.09 apply zenon_H6a. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L30_ *)
% 33.91/34.09 assert (zenon_L31_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> ((op (unit) (e3)) = (e3)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H3b zenon_H57 zenon_H59 zenon_H58 zenon_H6e zenon_H22 zenon_H1f zenon_H73 zenon_H72 zenon_H20 zenon_H32 zenon_H16 zenon_H34.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.09 apply (zenon_L22_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.09 apply (zenon_L29_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.09 apply (zenon_L8_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.09 apply (zenon_L30_); trivial.
% 33.91/34.09 apply (zenon_L11_); trivial.
% 33.91/34.09 (* end of lemma zenon_L31_ *)
% 33.91/34.09 assert (zenon_L32_ : ((op (unit) (e3)) = (e3)) -> ((unit) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H20 zenon_H2a zenon_H76 zenon_H77.
% 33.91/34.09 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 33.91/34.09 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e2)) = (op (e3) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H77.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H69.
% 33.91/34.09 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 33.91/34.09 cut (((op (e3) (e3)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H78].
% 33.91/34.09 congruence.
% 33.91/34.09 cut (((op (unit) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e3) (e2)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H78.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H20.
% 33.91/34.09 cut (((e3) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H79].
% 33.91/34.09 cut (((op (unit) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 33.91/34.09 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (unit) (e3)) = (op (e3) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H6c.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H69.
% 33.91/34.09 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 33.91/34.09 cut (((op (e3) (e3)) = (op (unit) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H67].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L25_); trivial.
% 33.91/34.09 apply zenon_H6a. apply refl_equal.
% 33.91/34.09 apply zenon_H6a. apply refl_equal.
% 33.91/34.09 apply zenon_H79. apply sym_equal. exact zenon_H76.
% 33.91/34.09 apply zenon_H6a. apply refl_equal.
% 33.91/34.09 apply zenon_H6a. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L32_ *)
% 33.91/34.09 assert (zenon_L33_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> ((op (unit) (e3)) = (e3)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H3b zenon_H57 zenon_H59 zenon_H58 zenon_H6e zenon_H22 zenon_H1f zenon_H77 zenon_H76 zenon_H20 zenon_H32 zenon_H16 zenon_H34.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.09 apply (zenon_L22_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.09 apply (zenon_L29_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.09 apply (zenon_L8_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.09 apply (zenon_L32_); trivial.
% 33.91/34.09 apply (zenon_L11_); trivial.
% 33.91/34.09 (* end of lemma zenon_L33_ *)
% 33.91/34.09 assert (zenon_L34_ : (~((op (e3) (e0)) = (op (e3) (unit)))) -> ((unit) = (e0)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H7a zenon_H9.
% 33.91/34.09 cut (((e0) = (unit))); [idtac | apply NNPP; zenon_intro zenon_Ha].
% 33.91/34.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 33.91/34.09 congruence.
% 33.91/34.09 apply zenon_H1e. apply refl_equal.
% 33.91/34.09 apply zenon_Ha. apply sym_equal. exact zenon_H9.
% 33.91/34.09 (* end of lemma zenon_L34_ *)
% 33.91/34.09 assert (zenon_L35_ : (~((op (e3) (e0)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> ((unit) = (e0)) -> ((op (e3) (e4)) = (e3)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H7b zenon_H5f zenon_H9 zenon_H7c.
% 33.91/34.09 cut (((op (e3) (unit)) = (e3)) = ((op (e3) (e0)) = (op (e3) (e4)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H7b.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H5f.
% 33.91/34.09 cut (((e3) = (op (e3) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H7d].
% 33.91/34.09 cut (((op (e3) (unit)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H7e].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_H7f | zenon_intro zenon_H80 ].
% 33.91/34.09 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e3) (unit)) = (op (e3) (e0)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H7e.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H7f.
% 33.91/34.09 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H80].
% 33.91/34.09 cut (((op (e3) (e0)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H7a].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L34_); trivial.
% 33.91/34.09 apply zenon_H80. apply refl_equal.
% 33.91/34.09 apply zenon_H80. apply refl_equal.
% 33.91/34.09 apply zenon_H7d. apply sym_equal. exact zenon_H7c.
% 33.91/34.09 (* end of lemma zenon_L35_ *)
% 33.91/34.09 assert (zenon_L36_ : (~((op (e3) (e1)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> ((unit) = (e1)) -> ((op (e3) (e4)) = (e3)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H81 zenon_H5f zenon_H14 zenon_H7c.
% 33.91/34.09 cut (((op (e3) (unit)) = (e3)) = ((op (e3) (e1)) = (op (e3) (e4)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H81.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H5f.
% 33.91/34.09 cut (((e3) = (op (e3) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H7d].
% 33.91/34.09 cut (((op (e3) (unit)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H62 | zenon_intro zenon_H63 ].
% 33.91/34.09 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e3) (unit)) = (op (e3) (e1)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H66.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H62.
% 33.91/34.09 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H63].
% 33.91/34.09 cut (((op (e3) (e1)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L23_); trivial.
% 33.91/34.09 apply zenon_H63. apply refl_equal.
% 33.91/34.09 apply zenon_H63. apply refl_equal.
% 33.91/34.09 apply zenon_H7d. apply sym_equal. exact zenon_H7c.
% 33.91/34.09 (* end of lemma zenon_L36_ *)
% 33.91/34.09 assert (zenon_L37_ : (~((op (e3) (e2)) = (op (e3) (unit)))) -> ((unit) = (e2)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H82 zenon_H21.
% 33.91/34.09 cut (((e2) = (unit))); [idtac | apply NNPP; zenon_intro zenon_H28].
% 33.91/34.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 33.91/34.09 congruence.
% 33.91/34.09 apply zenon_H1e. apply refl_equal.
% 33.91/34.09 apply zenon_H28. apply sym_equal. exact zenon_H21.
% 33.91/34.09 (* end of lemma zenon_L37_ *)
% 33.91/34.09 assert (zenon_L38_ : (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> ((unit) = (e2)) -> ((op (e3) (e4)) = (e3)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H83 zenon_H5f zenon_H21 zenon_H7c.
% 33.91/34.09 cut (((op (e3) (unit)) = (e3)) = ((op (e3) (e2)) = (op (e3) (e4)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H83.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H5f.
% 33.91/34.09 cut (((e3) = (op (e3) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H7d].
% 33.91/34.09 cut (((op (e3) (unit)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H85 | zenon_intro zenon_H86 ].
% 33.91/34.09 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (unit)) = (op (e3) (e2)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H84.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H85.
% 33.91/34.09 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 33.91/34.09 cut (((op (e3) (e2)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L37_); trivial.
% 33.91/34.09 apply zenon_H86. apply refl_equal.
% 33.91/34.09 apply zenon_H86. apply refl_equal.
% 33.91/34.09 apply zenon_H7d. apply sym_equal. exact zenon_H7c.
% 33.91/34.09 (* end of lemma zenon_L38_ *)
% 33.91/34.09 assert (zenon_L39_ : (~((op (e3) (e3)) = (op (e3) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((unit) = (e3)) -> ((op (e3) (e4)) = (e3)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H87 zenon_H20 zenon_H2a zenon_H7c.
% 33.91/34.09 cut (((op (unit) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e3) (e4)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H87.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H20.
% 33.91/34.09 cut (((e3) = (op (e3) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H7d].
% 33.91/34.09 cut (((op (unit) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 33.91/34.09 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (unit) (e3)) = (op (e3) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H6c.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H69.
% 33.91/34.09 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 33.91/34.09 cut (((op (e3) (e3)) = (op (unit) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H67].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L25_); trivial.
% 33.91/34.09 apply zenon_H6a. apply refl_equal.
% 33.91/34.09 apply zenon_H6a. apply refl_equal.
% 33.91/34.09 apply zenon_H7d. apply sym_equal. exact zenon_H7c.
% 33.91/34.09 (* end of lemma zenon_L39_ *)
% 33.91/34.09 assert (zenon_L40_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (e3) (e4)) = (e3)) -> ((op (unit) (e3)) = (e3)) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H3b zenon_H7b zenon_H81 zenon_H5f zenon_H83 zenon_H7c zenon_H20 zenon_H87 zenon_H32 zenon_H16 zenon_H34.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.09 apply (zenon_L35_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.09 apply (zenon_L36_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.09 apply (zenon_L38_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.09 apply (zenon_L39_); trivial.
% 33.91/34.09 apply (zenon_L11_); trivial.
% 33.91/34.09 (* end of lemma zenon_L40_ *)
% 33.91/34.09 assert (zenon_L41_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H88 zenon_H68 zenon_H61 zenon_H73 zenon_H77 zenon_H1f zenon_H22 zenon_H6e zenon_H58 zenon_H59 zenon_H57 zenon_H89 zenon_H3b zenon_H7b zenon_H81 zenon_H5f zenon_H83 zenon_H20 zenon_H87 zenon_H32 zenon_H16 zenon_H34.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H60 | zenon_intro zenon_H8a ].
% 33.91/34.09 apply (zenon_L27_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ].
% 33.91/34.09 apply (zenon_L31_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H8c ].
% 33.91/34.09 apply (zenon_L33_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H8d | zenon_intro zenon_H7c ].
% 33.91/34.09 exact (zenon_H89 zenon_H8d).
% 33.91/34.09 apply (zenon_L40_); trivial.
% 33.91/34.09 (* end of lemma zenon_L41_ *)
% 33.91/34.09 assert (zenon_L42_ : ((op (e3) (unit)) = (e3)) -> ((unit) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H5f zenon_H21 zenon_H60 zenon_H8e.
% 33.91/34.09 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H85 | zenon_intro zenon_H86 ].
% 33.91/34.09 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (e0)) = (op (e3) (e2)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H8e.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H85.
% 33.91/34.09 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 33.91/34.09 cut (((op (e3) (e2)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 33.91/34.09 congruence.
% 33.91/34.09 cut (((op (e3) (unit)) = (e3)) = ((op (e3) (e2)) = (op (e3) (e0)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H8f.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H5f.
% 33.91/34.09 cut (((e3) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H65].
% 33.91/34.09 cut (((op (e3) (unit)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H85 | zenon_intro zenon_H86 ].
% 33.91/34.09 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (unit)) = (op (e3) (e2)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H84.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H85.
% 33.91/34.09 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 33.91/34.09 cut (((op (e3) (e2)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L37_); trivial.
% 33.91/34.09 apply zenon_H86. apply refl_equal.
% 33.91/34.09 apply zenon_H86. apply refl_equal.
% 33.91/34.09 apply zenon_H65. apply sym_equal. exact zenon_H60.
% 33.91/34.09 apply zenon_H86. apply refl_equal.
% 33.91/34.09 apply zenon_H86. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L42_ *)
% 33.91/34.09 assert (zenon_L43_ : (~((op (e4) (e2)) = (op (unit) (e2)))) -> ((unit) = (e4)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H90 zenon_H33.
% 33.91/34.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 33.91/34.09 cut (((e4) = (unit))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 33.91/34.09 congruence.
% 33.91/34.09 apply zenon_H3a. apply sym_equal. exact zenon_H33.
% 33.91/34.09 apply zenon_H7. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L43_ *)
% 33.91/34.09 assert (zenon_L44_ : (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((unit) = (e4)) -> ((op (e4) (e3)) = (e2)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H91 zenon_Hc zenon_H33 zenon_H92.
% 33.91/34.09 cut (((op (unit) (e2)) = (e2)) = ((op (e4) (e2)) = (op (e4) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H91.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_Hc.
% 33.91/34.09 cut (((e2) = (op (e4) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H93].
% 33.91/34.09 cut (((op (unit) (e2)) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H94].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e4) (e2)) = (op (e4) (e2)))); [ zenon_intro zenon_H95 | zenon_intro zenon_H96 ].
% 33.91/34.09 cut (((op (e4) (e2)) = (op (e4) (e2))) = ((op (unit) (e2)) = (op (e4) (e2)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H94.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H95.
% 33.91/34.09 cut (((op (e4) (e2)) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 33.91/34.09 cut (((op (e4) (e2)) = (op (unit) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L43_); trivial.
% 33.91/34.09 apply zenon_H96. apply refl_equal.
% 33.91/34.09 apply zenon_H96. apply refl_equal.
% 33.91/34.09 apply zenon_H93. apply sym_equal. exact zenon_H92.
% 33.91/34.09 (* end of lemma zenon_L44_ *)
% 33.91/34.09 assert (zenon_L45_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e0) (e1)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e4) (e3)) = (e2)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H3b zenon_H43 zenon_H42 zenon_H41 zenon_H18 zenon_H16 zenon_H8e zenon_H60 zenon_H5f zenon_H2d zenon_H17 zenon_H2c zenon_H91 zenon_Hc zenon_H92.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.09 apply (zenon_L15_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.09 apply (zenon_L6_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.09 apply (zenon_L42_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.09 apply (zenon_L10_); trivial.
% 33.91/34.09 apply (zenon_L44_); trivial.
% 33.91/34.09 (* end of lemma zenon_L45_ *)
% 33.91/34.09 assert (zenon_L46_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> ((unit) = (e0)) -> ((op (e3) (e1)) = (e3)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H61 zenon_H5f zenon_H9 zenon_H72.
% 33.91/34.09 cut (((op (e3) (unit)) = (e3)) = ((op (e3) (e0)) = (op (e3) (e1)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H61.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H5f.
% 33.91/34.09 cut (((e3) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H75].
% 33.91/34.09 cut (((op (e3) (unit)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H7e].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_H7f | zenon_intro zenon_H80 ].
% 33.91/34.09 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e3) (unit)) = (op (e3) (e0)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H7e.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H7f.
% 33.91/34.09 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H80].
% 33.91/34.09 cut (((op (e3) (e0)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H7a].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L34_); trivial.
% 33.91/34.09 apply zenon_H80. apply refl_equal.
% 33.91/34.09 apply zenon_H80. apply refl_equal.
% 33.91/34.09 apply zenon_H75. apply sym_equal. exact zenon_H72.
% 33.91/34.09 (* end of lemma zenon_L46_ *)
% 33.91/34.09 assert (zenon_L47_ : (~((e4) = (e4))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H97.
% 33.91/34.09 apply zenon_H97. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L47_ *)
% 33.91/34.09 assert (zenon_L48_ : (~((op (e4) (e1)) = (op (e4) (unit)))) -> ((unit) = (e1)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H98 zenon_H14.
% 33.91/34.09 cut (((e1) = (unit))); [idtac | apply NNPP; zenon_intro zenon_H15].
% 33.91/34.09 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 33.91/34.09 congruence.
% 33.91/34.09 apply zenon_H97. apply refl_equal.
% 33.91/34.09 apply zenon_H15. apply sym_equal. exact zenon_H14.
% 33.91/34.09 (* end of lemma zenon_L48_ *)
% 33.91/34.09 assert (zenon_L49_ : ((op (e4) (unit)) = (e4)) -> ((unit) = (e1)) -> ((op (e4) (e0)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H99 zenon_H14 zenon_H9a zenon_H9b.
% 33.91/34.09 elim (classic ((op (e4) (e1)) = (op (e4) (e1)))); [ zenon_intro zenon_H37 | zenon_intro zenon_H38 ].
% 33.91/34.09 cut (((op (e4) (e1)) = (op (e4) (e1))) = ((op (e4) (e0)) = (op (e4) (e1)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H9b.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H37.
% 33.91/34.09 cut (((op (e4) (e1)) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 33.91/34.09 cut (((op (e4) (e1)) = (op (e4) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 33.91/34.09 congruence.
% 33.91/34.09 cut (((op (e4) (unit)) = (e4)) = ((op (e4) (e1)) = (op (e4) (e0)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H9c.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H99.
% 33.91/34.09 cut (((e4) = (op (e4) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H9d].
% 33.91/34.09 cut (((op (e4) (unit)) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H9e].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e4) (e1)) = (op (e4) (e1)))); [ zenon_intro zenon_H37 | zenon_intro zenon_H38 ].
% 33.91/34.09 cut (((op (e4) (e1)) = (op (e4) (e1))) = ((op (e4) (unit)) = (op (e4) (e1)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H9e.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H37.
% 33.91/34.09 cut (((op (e4) (e1)) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 33.91/34.09 cut (((op (e4) (e1)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L48_); trivial.
% 33.91/34.09 apply zenon_H38. apply refl_equal.
% 33.91/34.09 apply zenon_H38. apply refl_equal.
% 33.91/34.09 apply zenon_H9d. apply sym_equal. exact zenon_H9a.
% 33.91/34.09 apply zenon_H38. apply refl_equal.
% 33.91/34.09 apply zenon_H38. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L49_ *)
% 33.91/34.09 assert (zenon_L50_ : ((op (e3) (unit)) = (e3)) -> ((unit) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H5f zenon_H21 zenon_H72 zenon_H9f.
% 33.91/34.09 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H85 | zenon_intro zenon_H86 ].
% 33.91/34.09 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (e1)) = (op (e3) (e2)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H9f.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H85.
% 33.91/34.09 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 33.91/34.09 cut (((op (e3) (e2)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha0].
% 33.91/34.09 congruence.
% 33.91/34.09 cut (((op (e3) (unit)) = (e3)) = ((op (e3) (e2)) = (op (e3) (e1)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Ha0.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H5f.
% 33.91/34.09 cut (((e3) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H75].
% 33.91/34.09 cut (((op (e3) (unit)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H85 | zenon_intro zenon_H86 ].
% 33.91/34.09 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (unit)) = (op (e3) (e2)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H84.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H85.
% 33.91/34.09 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 33.91/34.09 cut (((op (e3) (e2)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L37_); trivial.
% 33.91/34.09 apply zenon_H86. apply refl_equal.
% 33.91/34.09 apply zenon_H86. apply refl_equal.
% 33.91/34.09 apply zenon_H75. apply sym_equal. exact zenon_H72.
% 33.91/34.09 apply zenon_H86. apply refl_equal.
% 33.91/34.09 apply zenon_H86. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L50_ *)
% 33.91/34.09 assert (zenon_L51_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (e0)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> ((op (unit) (e3)) = (e3)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H3b zenon_H61 zenon_H9b zenon_H9a zenon_H99 zenon_H9f zenon_H5f zenon_H73 zenon_H72 zenon_H20 zenon_H32 zenon_H16 zenon_H34.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.09 apply (zenon_L46_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.09 apply (zenon_L49_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.09 apply (zenon_L50_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.09 apply (zenon_L30_); trivial.
% 33.91/34.09 apply (zenon_L11_); trivial.
% 33.91/34.09 (* end of lemma zenon_L51_ *)
% 33.91/34.09 assert (zenon_L52_ : (~((op (e0) (e2)) = (op (e0) (e4)))) -> ((op (unit) (e2)) = (e2)) -> ((unit) = (e0)) -> ((op (e0) (e4)) = (e2)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_Ha1 zenon_Hc zenon_H9 zenon_Ha2.
% 33.91/34.09 cut (((op (unit) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e0) (e4)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Ha1.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_Hc.
% 33.91/34.09 cut (((e2) = (op (e0) (e4)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 33.91/34.09 cut (((op (unit) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e0) (e2)) = (op (e0) (e2)))); [ zenon_intro zenon_H10 | zenon_intro zenon_H11 ].
% 33.91/34.09 cut (((op (e0) (e2)) = (op (e0) (e2))) = ((op (unit) (e2)) = (op (e0) (e2)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hf.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H10.
% 33.91/34.09 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H11].
% 33.91/34.09 cut (((op (e0) (e2)) = (op (unit) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H8].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L2_); trivial.
% 33.91/34.09 apply zenon_H11. apply refl_equal.
% 33.91/34.09 apply zenon_H11. apply refl_equal.
% 33.91/34.09 apply zenon_Ha3. apply sym_equal. exact zenon_Ha2.
% 33.91/34.09 (* end of lemma zenon_L52_ *)
% 33.91/34.09 assert (zenon_L53_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e0) (e4)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e1)) = (e1)) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e4) (e3)) = (e2)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H3b zenon_Ha2 zenon_Ha1 zenon_H18 zenon_H16 zenon_H22 zenon_H20 zenon_H1f zenon_H2d zenon_H17 zenon_H2c zenon_H91 zenon_Hc zenon_H92.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.09 apply (zenon_L52_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.09 apply (zenon_L6_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.09 apply (zenon_L8_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.09 apply (zenon_L10_); trivial.
% 33.91/34.09 apply (zenon_L44_); trivial.
% 33.91/34.09 (* end of lemma zenon_L53_ *)
% 33.91/34.09 assert (zenon_L54_ : (~((op (e4) (e0)) = (op (e4) (unit)))) -> ((unit) = (e0)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_Ha4 zenon_H9.
% 33.91/34.09 cut (((e0) = (unit))); [idtac | apply NNPP; zenon_intro zenon_Ha].
% 33.91/34.09 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 33.91/34.09 congruence.
% 33.91/34.09 apply zenon_H97. apply refl_equal.
% 33.91/34.09 apply zenon_Ha. apply sym_equal. exact zenon_H9.
% 33.91/34.09 (* end of lemma zenon_L54_ *)
% 33.91/34.09 assert (zenon_L55_ : (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> ((unit) = (e0)) -> ((op (e4) (e1)) = (e4)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H9b zenon_H99 zenon_H9 zenon_Ha5.
% 33.91/34.09 cut (((op (e4) (unit)) = (e4)) = ((op (e4) (e0)) = (op (e4) (e1)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H9b.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H99.
% 33.91/34.09 cut (((e4) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 33.91/34.09 cut (((op (e4) (unit)) = (op (e4) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e4) (e0)) = (op (e4) (e0)))); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha9 ].
% 33.91/34.09 cut (((op (e4) (e0)) = (op (e4) (e0))) = ((op (e4) (unit)) = (op (e4) (e0)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Ha7.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_Ha8.
% 33.91/34.09 cut (((op (e4) (e0)) = (op (e4) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 33.91/34.09 cut (((op (e4) (e0)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L54_); trivial.
% 33.91/34.09 apply zenon_Ha9. apply refl_equal.
% 33.91/34.09 apply zenon_Ha9. apply refl_equal.
% 33.91/34.09 apply zenon_Ha6. apply sym_equal. exact zenon_Ha5.
% 33.91/34.09 (* end of lemma zenon_L55_ *)
% 33.91/34.09 assert (zenon_L56_ : (~((op (e1) (e2)) = (op (e1) (e4)))) -> ((op (unit) (e2)) = (e2)) -> ((unit) = (e1)) -> ((op (e1) (e4)) = (e2)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_Haa zenon_Hc zenon_H14 zenon_Hab.
% 33.91/34.09 cut (((op (unit) (e2)) = (e2)) = ((op (e1) (e2)) = (op (e1) (e4)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Haa.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_Hc.
% 33.91/34.09 cut (((e2) = (op (e1) (e4)))); [idtac | apply NNPP; zenon_intro zenon_Hac].
% 33.91/34.09 cut (((op (unit) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H4c].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 33.91/34.09 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (unit) (e2)) = (op (e1) (e2)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H4c.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H4d.
% 33.91/34.09 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 33.91/34.09 cut (((op (e1) (e2)) = (op (unit) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L16_); trivial.
% 33.91/34.09 apply zenon_H4e. apply refl_equal.
% 33.91/34.09 apply zenon_H4e. apply refl_equal.
% 33.91/34.09 apply zenon_Hac. apply sym_equal. exact zenon_Hab.
% 33.91/34.09 (* end of lemma zenon_L56_ *)
% 33.91/34.09 assert (zenon_L57_ : (~((op (e4) (e2)) = (op (e4) (unit)))) -> ((unit) = (e2)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_Had zenon_H21.
% 33.91/34.09 cut (((e2) = (unit))); [idtac | apply NNPP; zenon_intro zenon_H28].
% 33.91/34.09 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 33.91/34.09 congruence.
% 33.91/34.09 apply zenon_H97. apply refl_equal.
% 33.91/34.09 apply zenon_H28. apply sym_equal. exact zenon_H21.
% 33.91/34.09 (* end of lemma zenon_L57_ *)
% 33.91/34.09 assert (zenon_L58_ : ((op (e4) (unit)) = (e4)) -> ((unit) = (e2)) -> ((op (e4) (e1)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H99 zenon_H21 zenon_Ha5 zenon_H32.
% 33.91/34.09 elim (classic ((op (e4) (e2)) = (op (e4) (e2)))); [ zenon_intro zenon_H95 | zenon_intro zenon_H96 ].
% 33.91/34.09 cut (((op (e4) (e2)) = (op (e4) (e2))) = ((op (e4) (e1)) = (op (e4) (e2)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H32.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H95.
% 33.91/34.09 cut (((op (e4) (e2)) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 33.91/34.09 cut (((op (e4) (e2)) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 33.91/34.09 congruence.
% 33.91/34.09 cut (((op (e4) (unit)) = (e4)) = ((op (e4) (e2)) = (op (e4) (e1)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hae.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H99.
% 33.91/34.09 cut (((e4) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 33.91/34.09 cut (((op (e4) (unit)) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e4) (e2)) = (op (e4) (e2)))); [ zenon_intro zenon_H95 | zenon_intro zenon_H96 ].
% 33.91/34.09 cut (((op (e4) (e2)) = (op (e4) (e2))) = ((op (e4) (unit)) = (op (e4) (e2)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Haf.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H95.
% 33.91/34.09 cut (((op (e4) (e2)) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 33.91/34.09 cut (((op (e4) (e2)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Had].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L57_); trivial.
% 33.91/34.09 apply zenon_H96. apply refl_equal.
% 33.91/34.09 apply zenon_H96. apply refl_equal.
% 33.91/34.09 apply zenon_Ha6. apply sym_equal. exact zenon_Ha5.
% 33.91/34.09 apply zenon_H96. apply refl_equal.
% 33.91/34.09 apply zenon_H96. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L58_ *)
% 33.91/34.09 assert (zenon_L59_ : (~((op (e4) (e3)) = (op (e4) (unit)))) -> ((unit) = (e3)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_Hb0 zenon_H2a.
% 33.91/34.09 cut (((e3) = (unit))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 33.91/34.09 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 33.91/34.09 congruence.
% 33.91/34.09 apply zenon_H97. apply refl_equal.
% 33.91/34.09 apply zenon_H2b. apply sym_equal. exact zenon_H2a.
% 33.91/34.09 (* end of lemma zenon_L59_ *)
% 33.91/34.09 assert (zenon_L60_ : ((op (e4) (unit)) = (e4)) -> ((unit) = (e3)) -> ((op (e4) (e1)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H99 zenon_H2a zenon_Ha5 zenon_Hb1.
% 33.91/34.09 elim (classic ((op (e4) (e3)) = (op (e4) (e3)))); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb3 ].
% 33.91/34.09 cut (((op (e4) (e3)) = (op (e4) (e3))) = ((op (e4) (e1)) = (op (e4) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hb1.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_Hb2.
% 33.91/34.09 cut (((op (e4) (e3)) = (op (e4) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hb3].
% 33.91/34.09 cut (((op (e4) (e3)) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hb4].
% 33.91/34.09 congruence.
% 33.91/34.09 cut (((op (e4) (unit)) = (e4)) = ((op (e4) (e3)) = (op (e4) (e1)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hb4.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H99.
% 33.91/34.09 cut (((e4) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 33.91/34.09 cut (((op (e4) (unit)) = (op (e4) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e4) (e3)) = (op (e4) (e3)))); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb3 ].
% 33.91/34.09 cut (((op (e4) (e3)) = (op (e4) (e3))) = ((op (e4) (unit)) = (op (e4) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hb5.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_Hb2.
% 33.91/34.09 cut (((op (e4) (e3)) = (op (e4) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hb3].
% 33.91/34.09 cut (((op (e4) (e3)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L59_); trivial.
% 33.91/34.09 apply zenon_Hb3. apply refl_equal.
% 33.91/34.09 apply zenon_Hb3. apply refl_equal.
% 33.91/34.09 apply zenon_Ha6. apply sym_equal. exact zenon_Ha5.
% 33.91/34.09 apply zenon_Hb3. apply refl_equal.
% 33.91/34.09 apply zenon_Hb3. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L60_ *)
% 33.91/34.09 assert (zenon_L61_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e1) (e4)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (e1)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e4) (e3)) = (e2)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H3b zenon_H9b zenon_Hab zenon_Haa zenon_H32 zenon_Hb1 zenon_Ha5 zenon_H99 zenon_H91 zenon_Hc zenon_H92.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.09 apply (zenon_L55_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.09 apply (zenon_L56_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.09 apply (zenon_L58_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.09 apply (zenon_L60_); trivial.
% 33.91/34.09 apply (zenon_L44_); trivial.
% 33.91/34.09 (* end of lemma zenon_L61_ *)
% 33.91/34.09 assert (zenon_L62_ : (~((op (e2) (e0)) = (op (e2) (e4)))) -> ((op (e2) (unit)) = (e2)) -> ((unit) = (e0)) -> ((op (e2) (e4)) = (e2)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_Hb6 zenon_H58 zenon_H9 zenon_Hb7.
% 33.91/34.09 cut (((op (e2) (unit)) = (e2)) = ((op (e2) (e0)) = (op (e2) (e4)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hb6.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H58.
% 33.91/34.09 cut (((e2) = (op (e2) (e4)))); [idtac | apply NNPP; zenon_intro zenon_Hb8].
% 33.91/34.09 cut (((op (e2) (unit)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H5b].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e2) (e0)) = (op (e2) (e0)))); [ zenon_intro zenon_H5c | zenon_intro zenon_H5d ].
% 33.91/34.09 cut (((op (e2) (e0)) = (op (e2) (e0))) = ((op (e2) (unit)) = (op (e2) (e0)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H5b.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H5c.
% 33.91/34.09 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 33.91/34.09 cut (((op (e2) (e0)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L21_); trivial.
% 33.91/34.09 apply zenon_H5d. apply refl_equal.
% 33.91/34.09 apply zenon_H5d. apply refl_equal.
% 33.91/34.09 apply zenon_Hb8. apply sym_equal. exact zenon_Hb7.
% 33.91/34.09 (* end of lemma zenon_L62_ *)
% 33.91/34.09 assert (zenon_L63_ : (~((op (e2) (e1)) = (op (e2) (e4)))) -> ((op (e2) (unit)) = (e2)) -> ((unit) = (e1)) -> ((op (e2) (e4)) = (e2)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_Hb9 zenon_H58 zenon_H14 zenon_Hb7.
% 33.91/34.09 cut (((op (e2) (unit)) = (e2)) = ((op (e2) (e1)) = (op (e2) (e4)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hb9.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H58.
% 33.91/34.09 cut (((e2) = (op (e2) (e4)))); [idtac | apply NNPP; zenon_intro zenon_Hb8].
% 33.91/34.09 cut (((op (e2) (unit)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H70 | zenon_intro zenon_H71 ].
% 33.91/34.09 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e2) (unit)) = (op (e2) (e1)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H6f.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H70.
% 33.91/34.09 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 33.91/34.09 cut (((op (e2) (e1)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H6d].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L28_); trivial.
% 33.91/34.09 apply zenon_H71. apply refl_equal.
% 33.91/34.09 apply zenon_H71. apply refl_equal.
% 33.91/34.09 apply zenon_Hb8. apply sym_equal. exact zenon_Hb7.
% 33.91/34.09 (* end of lemma zenon_L63_ *)
% 33.91/34.09 assert (zenon_L64_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> ((op (e2) (e4)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> ((op (unit) (e3)) = (e3)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H3b zenon_Hb6 zenon_Hb7 zenon_H58 zenon_Hb9 zenon_H9f zenon_H5f zenon_H73 zenon_H72 zenon_H20 zenon_H32 zenon_H16 zenon_H34.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.09 apply (zenon_L62_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.09 apply (zenon_L63_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.09 apply (zenon_L50_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.09 apply (zenon_L30_); trivial.
% 33.91/34.09 apply (zenon_L11_); trivial.
% 33.91/34.09 (* end of lemma zenon_L64_ *)
% 33.91/34.09 assert (zenon_L65_ : ((op (e2) (unit)) = (e2)) -> ((unit) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H58 zenon_H14 zenon_Hba zenon_Hbb.
% 33.91/34.09 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H70 | zenon_intro zenon_H71 ].
% 33.91/34.09 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e2) (e0)) = (op (e2) (e1)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hbb.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H70.
% 33.91/34.09 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 33.91/34.09 cut (((op (e2) (e1)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hbc].
% 33.91/34.09 congruence.
% 33.91/34.09 cut (((op (e2) (unit)) = (e2)) = ((op (e2) (e1)) = (op (e2) (e0)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hbc.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H58.
% 33.91/34.09 cut (((e2) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hbd].
% 33.91/34.09 cut (((op (e2) (unit)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H70 | zenon_intro zenon_H71 ].
% 33.91/34.09 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e2) (unit)) = (op (e2) (e1)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H6f.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H70.
% 33.91/34.09 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 33.91/34.09 cut (((op (e2) (e1)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H6d].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L28_); trivial.
% 33.91/34.09 apply zenon_H71. apply refl_equal.
% 33.91/34.09 apply zenon_H71. apply refl_equal.
% 33.91/34.09 apply zenon_Hbd. apply sym_equal. exact zenon_Hba.
% 33.91/34.09 apply zenon_H71. apply refl_equal.
% 33.91/34.09 apply zenon_H71. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L65_ *)
% 33.91/34.09 assert (zenon_L66_ : (~((op (e3) (e2)) = (op (unit) (e2)))) -> ((unit) = (e3)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_Hbe zenon_H2a.
% 33.91/34.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 33.91/34.09 cut (((e3) = (unit))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 33.91/34.09 congruence.
% 33.91/34.09 apply zenon_H2b. apply sym_equal. exact zenon_H2a.
% 33.91/34.09 apply zenon_H7. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L66_ *)
% 33.91/34.09 assert (zenon_L67_ : (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (unit) (e2)) = (e2)) -> ((unit) = (e3)) -> ((op (e3) (e4)) = (e2)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H83 zenon_Hc zenon_H2a zenon_Hbf.
% 33.91/34.09 cut (((op (unit) (e2)) = (e2)) = ((op (e3) (e2)) = (op (e3) (e4)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H83.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_Hc.
% 33.91/34.09 cut (((e2) = (op (e3) (e4)))); [idtac | apply NNPP; zenon_intro zenon_Hc0].
% 33.91/34.09 cut (((op (unit) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hc1].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H85 | zenon_intro zenon_H86 ].
% 33.91/34.09 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (unit) (e2)) = (op (e3) (e2)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hc1.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H85.
% 33.91/34.09 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 33.91/34.09 cut (((op (e3) (e2)) = (op (unit) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L66_); trivial.
% 33.91/34.09 apply zenon_H86. apply refl_equal.
% 33.91/34.09 apply zenon_H86. apply refl_equal.
% 33.91/34.09 apply zenon_Hc0. apply sym_equal. exact zenon_Hbf.
% 33.91/34.09 (* end of lemma zenon_L67_ *)
% 33.91/34.09 assert (zenon_L68_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e4) (e1)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> ((op (e3) (e4)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e4) (e3)) = (e2)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H3b zenon_H9b zenon_Hbb zenon_Hba zenon_H58 zenon_H32 zenon_Ha5 zenon_H99 zenon_Hbf zenon_H83 zenon_H91 zenon_Hc zenon_H92.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.09 apply (zenon_L55_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.09 apply (zenon_L65_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.09 apply (zenon_L58_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.09 apply (zenon_L67_); trivial.
% 33.91/34.09 apply (zenon_L44_); trivial.
% 33.91/34.09 (* end of lemma zenon_L68_ *)
% 33.91/34.09 assert (zenon_L69_ : (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> ((op (e1) (unit)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> ((op (unit) (e3)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> ((op (e4) (e3)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (e4) (unit)) = (e4)) -> ((op (e4) (e1)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e2))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_Hc2 zenon_H2c zenon_H17 zenon_H2d zenon_H1f zenon_H22 zenon_H18 zenon_Ha1 zenon_Hb1 zenon_Haa zenon_H34 zenon_H16 zenon_H20 zenon_H72 zenon_H73 zenon_H5f zenon_H9f zenon_Hb9 zenon_Hb6 zenon_H92 zenon_Hc zenon_H91 zenon_H83 zenon_H99 zenon_Ha5 zenon_H32 zenon_H58 zenon_Hba zenon_Hbb zenon_H9b zenon_H3b zenon_Hc3.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc4 ].
% 33.91/34.09 apply (zenon_L53_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hab | zenon_intro zenon_Hc5 ].
% 33.91/34.09 apply (zenon_L61_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc6 ].
% 33.91/34.09 apply (zenon_L64_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hc7 ].
% 33.91/34.09 apply (zenon_L68_); trivial.
% 33.91/34.09 exact (zenon_Hc3 zenon_Hc7).
% 33.91/34.09 (* end of lemma zenon_L69_ *)
% 33.91/34.09 assert (zenon_L70_ : (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> ((unit) = (e0)) -> ((op (e4) (e2)) = (e4)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_Hc8 zenon_H99 zenon_H9 zenon_Hc9.
% 33.91/34.09 cut (((op (e4) (unit)) = (e4)) = ((op (e4) (e0)) = (op (e4) (e2)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hc8.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H99.
% 33.91/34.09 cut (((e4) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hca].
% 33.91/34.09 cut (((op (e4) (unit)) = (op (e4) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e4) (e0)) = (op (e4) (e0)))); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha9 ].
% 33.91/34.09 cut (((op (e4) (e0)) = (op (e4) (e0))) = ((op (e4) (unit)) = (op (e4) (e0)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Ha7.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_Ha8.
% 33.91/34.09 cut (((op (e4) (e0)) = (op (e4) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 33.91/34.09 cut (((op (e4) (e0)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L54_); trivial.
% 33.91/34.09 apply zenon_Ha9. apply refl_equal.
% 33.91/34.09 apply zenon_Ha9. apply refl_equal.
% 33.91/34.09 apply zenon_Hca. apply sym_equal. exact zenon_Hc9.
% 33.91/34.09 (* end of lemma zenon_L70_ *)
% 33.91/34.09 assert (zenon_L71_ : (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> ((unit) = (e1)) -> ((op (e4) (e2)) = (e4)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H32 zenon_H99 zenon_H14 zenon_Hc9.
% 33.91/34.09 cut (((op (e4) (unit)) = (e4)) = ((op (e4) (e1)) = (op (e4) (e2)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H32.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H99.
% 33.91/34.09 cut (((e4) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hca].
% 33.91/34.09 cut (((op (e4) (unit)) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H9e].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e4) (e1)) = (op (e4) (e1)))); [ zenon_intro zenon_H37 | zenon_intro zenon_H38 ].
% 33.91/34.09 cut (((op (e4) (e1)) = (op (e4) (e1))) = ((op (e4) (unit)) = (op (e4) (e1)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H9e.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H37.
% 33.91/34.09 cut (((op (e4) (e1)) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 33.91/34.09 cut (((op (e4) (e1)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L48_); trivial.
% 33.91/34.09 apply zenon_H38. apply refl_equal.
% 33.91/34.09 apply zenon_H38. apply refl_equal.
% 33.91/34.09 apply zenon_Hca. apply sym_equal. exact zenon_Hc9.
% 33.91/34.09 (* end of lemma zenon_L71_ *)
% 33.91/34.09 assert (zenon_L72_ : ((op (e4) (unit)) = (e4)) -> ((unit) = (e3)) -> ((op (e4) (e2)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H99 zenon_H2a zenon_Hc9 zenon_H91.
% 33.91/34.09 elim (classic ((op (e4) (e3)) = (op (e4) (e3)))); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb3 ].
% 33.91/34.09 cut (((op (e4) (e3)) = (op (e4) (e3))) = ((op (e4) (e2)) = (op (e4) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H91.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_Hb2.
% 33.91/34.09 cut (((op (e4) (e3)) = (op (e4) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hb3].
% 33.91/34.09 cut (((op (e4) (e3)) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hcb].
% 33.91/34.09 congruence.
% 33.91/34.09 cut (((op (e4) (unit)) = (e4)) = ((op (e4) (e3)) = (op (e4) (e2)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hcb.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H99.
% 33.91/34.09 cut (((e4) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hca].
% 33.91/34.09 cut (((op (e4) (unit)) = (op (e4) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e4) (e3)) = (op (e4) (e3)))); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb3 ].
% 33.91/34.09 cut (((op (e4) (e3)) = (op (e4) (e3))) = ((op (e4) (unit)) = (op (e4) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hb5.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_Hb2.
% 33.91/34.09 cut (((op (e4) (e3)) = (op (e4) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hb3].
% 33.91/34.09 cut (((op (e4) (e3)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L59_); trivial.
% 33.91/34.09 apply zenon_Hb3. apply refl_equal.
% 33.91/34.09 apply zenon_Hb3. apply refl_equal.
% 33.91/34.09 apply zenon_Hca. apply sym_equal. exact zenon_Hc9.
% 33.91/34.09 apply zenon_Hb3. apply refl_equal.
% 33.91/34.09 apply zenon_Hb3. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L72_ *)
% 33.91/34.09 assert (zenon_L73_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e4) (e2)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e4) (e3)) = (e2)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H3b zenon_Hc8 zenon_H32 zenon_H22 zenon_H20 zenon_H1f zenon_Hc9 zenon_H99 zenon_H91 zenon_Hc zenon_H92.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.09 apply (zenon_L70_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.09 apply (zenon_L71_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.09 apply (zenon_L8_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.09 apply (zenon_L72_); trivial.
% 33.91/34.09 apply (zenon_L44_); trivial.
% 33.91/34.09 (* end of lemma zenon_L73_ *)
% 33.91/34.09 assert (zenon_L74_ : (~((op (e4) (e0)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> ((unit) = (e0)) -> ((op (e4) (e3)) = (e4)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_Hcc zenon_H99 zenon_H9 zenon_Hcd.
% 33.91/34.09 cut (((op (e4) (unit)) = (e4)) = ((op (e4) (e0)) = (op (e4) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hcc.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H99.
% 33.91/34.09 cut (((e4) = (op (e4) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 33.91/34.09 cut (((op (e4) (unit)) = (op (e4) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e4) (e0)) = (op (e4) (e0)))); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha9 ].
% 33.91/34.09 cut (((op (e4) (e0)) = (op (e4) (e0))) = ((op (e4) (unit)) = (op (e4) (e0)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Ha7.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_Ha8.
% 33.91/34.09 cut (((op (e4) (e0)) = (op (e4) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 33.91/34.09 cut (((op (e4) (e0)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L54_); trivial.
% 33.91/34.09 apply zenon_Ha9. apply refl_equal.
% 33.91/34.09 apply zenon_Ha9. apply refl_equal.
% 33.91/34.09 apply zenon_Hce. apply sym_equal. exact zenon_Hcd.
% 33.91/34.09 (* end of lemma zenon_L74_ *)
% 33.91/34.09 assert (zenon_L75_ : (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> ((unit) = (e1)) -> ((op (e4) (e3)) = (e4)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_Hb1 zenon_H99 zenon_H14 zenon_Hcd.
% 33.91/34.09 cut (((op (e4) (unit)) = (e4)) = ((op (e4) (e1)) = (op (e4) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hb1.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H99.
% 33.91/34.09 cut (((e4) = (op (e4) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 33.91/34.09 cut (((op (e4) (unit)) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H9e].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e4) (e1)) = (op (e4) (e1)))); [ zenon_intro zenon_H37 | zenon_intro zenon_H38 ].
% 33.91/34.09 cut (((op (e4) (e1)) = (op (e4) (e1))) = ((op (e4) (unit)) = (op (e4) (e1)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H9e.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H37.
% 33.91/34.09 cut (((op (e4) (e1)) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 33.91/34.09 cut (((op (e4) (e1)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L48_); trivial.
% 33.91/34.09 apply zenon_H38. apply refl_equal.
% 33.91/34.09 apply zenon_H38. apply refl_equal.
% 33.91/34.09 apply zenon_Hce. apply sym_equal. exact zenon_Hcd.
% 33.91/34.09 (* end of lemma zenon_L75_ *)
% 33.91/34.09 assert (zenon_L76_ : (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> ((unit) = (e2)) -> ((op (e4) (e3)) = (e4)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H91 zenon_H99 zenon_H21 zenon_Hcd.
% 33.91/34.09 cut (((op (e4) (unit)) = (e4)) = ((op (e4) (e2)) = (op (e4) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H91.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H99.
% 33.91/34.09 cut (((e4) = (op (e4) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 33.91/34.09 cut (((op (e4) (unit)) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e4) (e2)) = (op (e4) (e2)))); [ zenon_intro zenon_H95 | zenon_intro zenon_H96 ].
% 33.91/34.09 cut (((op (e4) (e2)) = (op (e4) (e2))) = ((op (e4) (unit)) = (op (e4) (e2)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Haf.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H95.
% 33.91/34.09 cut (((op (e4) (e2)) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 33.91/34.09 cut (((op (e4) (e2)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Had].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L57_); trivial.
% 33.91/34.09 apply zenon_H96. apply refl_equal.
% 33.91/34.09 apply zenon_H96. apply refl_equal.
% 33.91/34.09 apply zenon_Hce. apply sym_equal. exact zenon_Hcd.
% 33.91/34.09 (* end of lemma zenon_L76_ *)
% 33.91/34.09 assert (zenon_L77_ : (~((op (e2) (e3)) = (op (e2) (unit)))) -> ((unit) = (e3)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_Hcf zenon_H2a.
% 33.91/34.09 cut (((e3) = (unit))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 33.91/34.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 33.91/34.09 congruence.
% 33.91/34.09 apply zenon_H7. apply refl_equal.
% 33.91/34.09 apply zenon_H2b. apply sym_equal. exact zenon_H2a.
% 33.91/34.09 (* end of lemma zenon_L77_ *)
% 33.91/34.09 assert (zenon_L78_ : ((op (e2) (unit)) = (e2)) -> ((unit) = (e3)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H58 zenon_H2a zenon_Hba zenon_H57.
% 33.91/34.09 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H25 | zenon_intro zenon_H26 ].
% 33.91/34.09 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (e0)) = (op (e2) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H57.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H25.
% 33.91/34.09 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 33.91/34.09 cut (((op (e2) (e3)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hd0].
% 33.91/34.09 congruence.
% 33.91/34.09 cut (((op (e2) (unit)) = (e2)) = ((op (e2) (e3)) = (op (e2) (e0)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hd0.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H58.
% 33.91/34.09 cut (((e2) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hbd].
% 33.91/34.09 cut (((op (e2) (unit)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H25 | zenon_intro zenon_H26 ].
% 33.91/34.09 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (unit)) = (op (e2) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hd1.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H25.
% 33.91/34.09 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 33.91/34.09 cut (((op (e2) (e3)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L77_); trivial.
% 33.91/34.09 apply zenon_H26. apply refl_equal.
% 33.91/34.09 apply zenon_H26. apply refl_equal.
% 33.91/34.09 apply zenon_Hbd. apply sym_equal. exact zenon_Hba.
% 33.91/34.09 apply zenon_H26. apply refl_equal.
% 33.91/34.09 apply zenon_H26. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L78_ *)
% 33.91/34.09 assert (zenon_L79_ : (~((op (e4) (e4)) = (op (unit) (e4)))) -> ((unit) = (e4)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_Hd2 zenon_H33.
% 33.91/34.09 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 33.91/34.09 cut (((e4) = (unit))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 33.91/34.09 congruence.
% 33.91/34.09 apply zenon_H3a. apply sym_equal. exact zenon_H33.
% 33.91/34.09 apply zenon_H97. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L79_ *)
% 33.91/34.09 assert (zenon_L80_ : ((op (unit) (e4)) = (e4)) -> ((unit) = (e4)) -> ((op (e4) (e3)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_Hd3 zenon_H33 zenon_Hcd zenon_Hd4.
% 33.91/34.09 elim (classic ((op (e4) (e4)) = (op (e4) (e4)))); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd6 ].
% 33.91/34.09 cut (((op (e4) (e4)) = (op (e4) (e4))) = ((op (e4) (e3)) = (op (e4) (e4)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hd4.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_Hd5.
% 33.91/34.09 cut (((op (e4) (e4)) = (op (e4) (e4)))); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 33.91/34.09 cut (((op (e4) (e4)) = (op (e4) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd7].
% 33.91/34.09 congruence.
% 33.91/34.09 cut (((op (unit) (e4)) = (e4)) = ((op (e4) (e4)) = (op (e4) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hd7.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_Hd3.
% 33.91/34.09 cut (((e4) = (op (e4) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 33.91/34.09 cut (((op (unit) (e4)) = (op (e4) (e4)))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e4) (e4)) = (op (e4) (e4)))); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd6 ].
% 33.91/34.09 cut (((op (e4) (e4)) = (op (e4) (e4))) = ((op (unit) (e4)) = (op (e4) (e4)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hd8.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_Hd5.
% 33.91/34.09 cut (((op (e4) (e4)) = (op (e4) (e4)))); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 33.91/34.09 cut (((op (e4) (e4)) = (op (unit) (e4)))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L79_); trivial.
% 33.91/34.09 apply zenon_Hd6. apply refl_equal.
% 33.91/34.09 apply zenon_Hd6. apply refl_equal.
% 33.91/34.09 apply zenon_Hce. apply sym_equal. exact zenon_Hcd.
% 33.91/34.09 apply zenon_Hd6. apply refl_equal.
% 33.91/34.09 apply zenon_Hd6. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L80_ *)
% 33.91/34.09 assert (zenon_L81_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> ((op (unit) (e4)) = (e4)) -> ((op (e4) (e3)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H3b zenon_Hcc zenon_Hb1 zenon_H99 zenon_H91 zenon_H57 zenon_Hba zenon_H58 zenon_Hd3 zenon_Hcd zenon_Hd4.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.09 apply (zenon_L74_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.09 apply (zenon_L75_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.09 apply (zenon_L76_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.09 apply (zenon_L78_); trivial.
% 33.91/34.09 apply (zenon_L80_); trivial.
% 33.91/34.09 (* end of lemma zenon_L81_ *)
% 33.91/34.09 assert (zenon_L82_ : (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e4) (e4)) = (e2))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> ((op (e4) (e3)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e4))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_Hd9 zenon_H61 zenon_Hc3 zenon_H9b zenon_Hbb zenon_H83 zenon_Hb6 zenon_Hb9 zenon_H9f zenon_H5f zenon_H73 zenon_H72 zenon_H16 zenon_H34 zenon_Haa zenon_Ha1 zenon_H18 zenon_H2d zenon_H17 zenon_H2c zenon_Hc2 zenon_H92 zenon_Hc zenon_H1f zenon_H20 zenon_H22 zenon_H32 zenon_Hc8 zenon_Hd4 zenon_Hd3 zenon_H58 zenon_Hba zenon_H57 zenon_H91 zenon_H99 zenon_Hb1 zenon_Hcc zenon_H3b zenon_Hda.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H9a | zenon_intro zenon_Hdb ].
% 33.91/34.09 apply (zenon_L51_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hdc ].
% 33.91/34.09 apply (zenon_L69_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ].
% 33.91/34.09 apply (zenon_L73_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ].
% 33.91/34.09 apply (zenon_L81_); trivial.
% 33.91/34.09 exact (zenon_Hda zenon_Hde).
% 33.91/34.09 (* end of lemma zenon_L82_ *)
% 33.91/34.09 assert (zenon_L83_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (unit)) = (e3)) -> ((unit) = (e0)) -> ((op (e3) (e2)) = (e3)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H8e zenon_H5f zenon_H9 zenon_H76.
% 33.91/34.09 cut (((op (e3) (unit)) = (e3)) = ((op (e3) (e0)) = (op (e3) (e2)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H8e.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H5f.
% 33.91/34.09 cut (((e3) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H79].
% 33.91/34.09 cut (((op (e3) (unit)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H7e].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_H7f | zenon_intro zenon_H80 ].
% 33.91/34.09 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e3) (unit)) = (op (e3) (e0)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H7e.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H7f.
% 33.91/34.09 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H80].
% 33.91/34.09 cut (((op (e3) (e0)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H7a].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L34_); trivial.
% 33.91/34.09 apply zenon_H80. apply refl_equal.
% 33.91/34.09 apply zenon_H80. apply refl_equal.
% 33.91/34.09 apply zenon_H79. apply sym_equal. exact zenon_H76.
% 33.91/34.09 (* end of lemma zenon_L83_ *)
% 33.91/34.09 assert (zenon_L84_ : ((op (e4) (unit)) = (e4)) -> ((unit) = (e2)) -> ((op (e4) (e0)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H99 zenon_H21 zenon_H9a zenon_Hc8.
% 33.91/34.09 elim (classic ((op (e4) (e2)) = (op (e4) (e2)))); [ zenon_intro zenon_H95 | zenon_intro zenon_H96 ].
% 33.91/34.09 cut (((op (e4) (e2)) = (op (e4) (e2))) = ((op (e4) (e0)) = (op (e4) (e2)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hc8.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H95.
% 33.91/34.09 cut (((op (e4) (e2)) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 33.91/34.09 cut (((op (e4) (e2)) = (op (e4) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hdf].
% 33.91/34.09 congruence.
% 33.91/34.09 cut (((op (e4) (unit)) = (e4)) = ((op (e4) (e2)) = (op (e4) (e0)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hdf.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H99.
% 33.91/34.09 cut (((e4) = (op (e4) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H9d].
% 33.91/34.09 cut (((op (e4) (unit)) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e4) (e2)) = (op (e4) (e2)))); [ zenon_intro zenon_H95 | zenon_intro zenon_H96 ].
% 33.91/34.09 cut (((op (e4) (e2)) = (op (e4) (e2))) = ((op (e4) (unit)) = (op (e4) (e2)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Haf.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H95.
% 33.91/34.09 cut (((op (e4) (e2)) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 33.91/34.09 cut (((op (e4) (e2)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Had].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L57_); trivial.
% 33.91/34.09 apply zenon_H96. apply refl_equal.
% 33.91/34.09 apply zenon_H96. apply refl_equal.
% 33.91/34.09 apply zenon_H9d. apply sym_equal. exact zenon_H9a.
% 33.91/34.09 apply zenon_H96. apply refl_equal.
% 33.91/34.09 apply zenon_H96. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L84_ *)
% 33.91/34.09 assert (zenon_L85_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (e0)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> ((op (unit) (e3)) = (e3)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H3b zenon_H5f zenon_H8e zenon_H9b zenon_Hc8 zenon_H9a zenon_H99 zenon_H77 zenon_H76 zenon_H20 zenon_H32 zenon_H16 zenon_H34.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.09 apply (zenon_L83_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.09 apply (zenon_L49_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.09 apply (zenon_L84_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.09 apply (zenon_L32_); trivial.
% 33.91/34.09 apply (zenon_L11_); trivial.
% 33.91/34.09 (* end of lemma zenon_L85_ *)
% 33.91/34.09 assert (zenon_L86_ : (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> ((op (e1) (e4)) = (e2)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (e3)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e4))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_Hd9 zenon_H34 zenon_H16 zenon_H76 zenon_H77 zenon_H8e zenon_H5f zenon_Haa zenon_Hab zenon_H9b zenon_H92 zenon_Hc zenon_H1f zenon_H20 zenon_H22 zenon_H32 zenon_Hc8 zenon_Hd4 zenon_Hd3 zenon_H58 zenon_Hba zenon_H57 zenon_H91 zenon_H99 zenon_Hb1 zenon_Hcc zenon_H3b zenon_Hda.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H9a | zenon_intro zenon_Hdb ].
% 33.91/34.09 apply (zenon_L85_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hdc ].
% 33.91/34.09 apply (zenon_L61_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ].
% 33.91/34.09 apply (zenon_L73_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ].
% 33.91/34.09 apply (zenon_L81_); trivial.
% 33.91/34.09 exact (zenon_Hda zenon_Hde).
% 33.91/34.09 (* end of lemma zenon_L86_ *)
% 33.91/34.09 assert (zenon_L87_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> ((op (e2) (e4)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> ((op (unit) (e3)) = (e3)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e4) (e3)) = (e2)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H3b zenon_Hb6 zenon_Hb7 zenon_H58 zenon_Hb9 zenon_H22 zenon_H1f zenon_H77 zenon_H76 zenon_H20 zenon_H91 zenon_Hc zenon_H92.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.09 apply (zenon_L62_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.09 apply (zenon_L63_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.09 apply (zenon_L8_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.09 apply (zenon_L32_); trivial.
% 33.91/34.09 apply (zenon_L44_); trivial.
% 33.91/34.09 (* end of lemma zenon_L87_ *)
% 33.91/34.09 assert (zenon_L88_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (e0)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> ((op (e3) (e4)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e4) (e3)) = (e2)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H3b zenon_H76 zenon_H5f zenon_H8e zenon_H9b zenon_Hc8 zenon_H9a zenon_H99 zenon_Hbf zenon_H83 zenon_H91 zenon_Hc zenon_H92.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.09 apply (zenon_L83_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.09 apply (zenon_L49_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.09 apply (zenon_L84_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.09 apply (zenon_L67_); trivial.
% 33.91/34.09 apply (zenon_L44_); trivial.
% 33.91/34.09 (* end of lemma zenon_L88_ *)
% 33.91/34.09 assert (zenon_L89_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (unit)) = (e3)) -> ((unit) = (e1)) -> ((op (e3) (e2)) = (e3)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H9f zenon_H5f zenon_H14 zenon_H76.
% 33.91/34.09 cut (((op (e3) (unit)) = (e3)) = ((op (e3) (e1)) = (op (e3) (e2)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H9f.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H5f.
% 33.91/34.09 cut (((e3) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H79].
% 33.91/34.09 cut (((op (e3) (unit)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H62 | zenon_intro zenon_H63 ].
% 33.91/34.09 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e3) (unit)) = (op (e3) (e1)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H66.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H62.
% 33.91/34.09 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H63].
% 33.91/34.09 cut (((op (e3) (e1)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L23_); trivial.
% 33.91/34.09 apply zenon_H63. apply refl_equal.
% 33.91/34.09 apply zenon_H63. apply refl_equal.
% 33.91/34.09 apply zenon_H79. apply sym_equal. exact zenon_H76.
% 33.91/34.09 (* end of lemma zenon_L89_ *)
% 33.91/34.09 assert (zenon_L90_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e4) (e1)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> ((op (e3) (e4)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e4) (e3)) = (e2)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H3b zenon_H9b zenon_H76 zenon_H5f zenon_H9f zenon_H32 zenon_Ha5 zenon_H99 zenon_Hbf zenon_H83 zenon_H91 zenon_Hc zenon_H92.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.09 apply (zenon_L55_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.09 apply (zenon_L89_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.09 apply (zenon_L58_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.09 apply (zenon_L67_); trivial.
% 33.91/34.09 apply (zenon_L44_); trivial.
% 33.91/34.09 (* end of lemma zenon_L90_ *)
% 33.91/34.09 assert (zenon_L91_ : (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (e3) (e4)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (unit)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (e3)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e4))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_Hd9 zenon_H8e zenon_H83 zenon_Hbf zenon_H9f zenon_H5f zenon_H76 zenon_H9b zenon_H92 zenon_Hc zenon_H1f zenon_H20 zenon_H22 zenon_H32 zenon_Hc8 zenon_Hd4 zenon_Hd3 zenon_H58 zenon_Hba zenon_H57 zenon_H91 zenon_H99 zenon_Hb1 zenon_Hcc zenon_H3b zenon_Hda.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H9a | zenon_intro zenon_Hdb ].
% 33.91/34.09 apply (zenon_L88_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hdc ].
% 33.91/34.09 apply (zenon_L90_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ].
% 33.91/34.09 apply (zenon_L73_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ].
% 33.91/34.09 apply (zenon_L81_); trivial.
% 33.91/34.09 exact (zenon_Hda zenon_Hde).
% 33.91/34.09 (* end of lemma zenon_L91_ *)
% 33.91/34.09 assert (zenon_L92_ : (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> ((op (e1) (unit)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e4) (e4)) = (e4))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e4) (e3)) = (e2)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e4)) = (e2))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_Hc2 zenon_H2c zenon_H17 zenon_H2d zenon_H18 zenon_Ha1 zenon_Haa zenon_H16 zenon_H34 zenon_H77 zenon_Hb9 zenon_Hb6 zenon_Hda zenon_H3b zenon_Hcc zenon_Hb1 zenon_H99 zenon_H91 zenon_H57 zenon_Hba zenon_H58 zenon_Hd3 zenon_Hd4 zenon_Hc8 zenon_H32 zenon_H22 zenon_H20 zenon_H1f zenon_Hc zenon_H92 zenon_H9b zenon_H76 zenon_H5f zenon_H9f zenon_H83 zenon_H8e zenon_Hd9 zenon_Hc3.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc4 ].
% 33.91/34.09 apply (zenon_L53_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hab | zenon_intro zenon_Hc5 ].
% 33.91/34.09 apply (zenon_L86_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc6 ].
% 33.91/34.09 apply (zenon_L87_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hc7 ].
% 33.91/34.09 apply (zenon_L91_); trivial.
% 33.91/34.09 exact (zenon_Hc3 zenon_Hc7).
% 33.91/34.09 (* end of lemma zenon_L92_ *)
% 33.91/34.09 assert (zenon_L93_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (unit) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e4) (e4)) = (e2))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (e3)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e4)) = (e4))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e3) (e3)) = (e3))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H88 zenon_H41 zenon_H42 zenon_H43 zenon_H73 zenon_Hbb zenon_H61 zenon_Hc3 zenon_Hd9 zenon_H8e zenon_H9f zenon_H9b zenon_H92 zenon_Hc zenon_H1f zenon_H22 zenon_Hc8 zenon_Hd4 zenon_Hd3 zenon_H58 zenon_Hba zenon_H57 zenon_H91 zenon_H99 zenon_Hb1 zenon_Hcc zenon_Hda zenon_Hb6 zenon_Hb9 zenon_H77 zenon_Haa zenon_Ha1 zenon_H18 zenon_H2d zenon_H17 zenon_H2c zenon_Hc2 zenon_H89 zenon_H3b zenon_H7b zenon_H81 zenon_H5f zenon_H83 zenon_H20 zenon_H87 zenon_H32 zenon_H16 zenon_H34.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H60 | zenon_intro zenon_H8a ].
% 33.91/34.09 apply (zenon_L45_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ].
% 33.91/34.09 apply (zenon_L82_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H8c ].
% 33.91/34.09 apply (zenon_L92_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H8d | zenon_intro zenon_H7c ].
% 33.91/34.09 exact (zenon_H89 zenon_H8d).
% 33.91/34.09 apply (zenon_L40_); trivial.
% 33.91/34.09 (* end of lemma zenon_L93_ *)
% 33.91/34.09 assert (zenon_L94_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (unit) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e4) (e4)) = (e2))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e4)) = (e4))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e3) (e3)) = (e3))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_He0 zenon_Hb zenon_H50 zenon_H51 zenon_H49 zenon_H6e zenon_H68 zenon_He1 zenon_H88 zenon_H41 zenon_H42 zenon_H43 zenon_H73 zenon_Hbb zenon_H61 zenon_Hc3 zenon_Hd9 zenon_H8e zenon_H9f zenon_H9b zenon_Hc zenon_H1f zenon_H22 zenon_Hc8 zenon_Hd4 zenon_Hd3 zenon_H58 zenon_Hba zenon_H57 zenon_H91 zenon_H99 zenon_Hb1 zenon_Hcc zenon_Hda zenon_Hb6 zenon_Hb9 zenon_H77 zenon_Haa zenon_Ha1 zenon_H18 zenon_H2d zenon_H17 zenon_H2c zenon_Hc2 zenon_H89 zenon_H3b zenon_H7b zenon_H81 zenon_H5f zenon_H83 zenon_H20 zenon_H87 zenon_H32 zenon_H16 zenon_H34.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.91/34.09 apply (zenon_L12_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.91/34.09 apply (zenon_L20_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.91/34.09 apply (zenon_L41_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.91/34.09 exact (zenon_He1 zenon_He5).
% 33.91/34.09 apply (zenon_L93_); trivial.
% 33.91/34.09 (* end of lemma zenon_L94_ *)
% 33.91/34.09 assert (zenon_L95_ : (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((op (e4) (unit)) = (e4)) -> ((unit) = (e0)) -> ((op (e4) (e4)) = (e4)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_He6 zenon_H99 zenon_H9 zenon_Hde.
% 33.91/34.09 cut (((op (e4) (unit)) = (e4)) = ((op (e4) (e0)) = (op (e4) (e4)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_He6.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H99.
% 33.91/34.09 cut (((e4) = (op (e4) (e4)))); [idtac | apply NNPP; zenon_intro zenon_He7].
% 33.91/34.09 cut (((op (e4) (unit)) = (op (e4) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e4) (e0)) = (op (e4) (e0)))); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha9 ].
% 33.91/34.09 cut (((op (e4) (e0)) = (op (e4) (e0))) = ((op (e4) (unit)) = (op (e4) (e0)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Ha7.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_Ha8.
% 33.91/34.09 cut (((op (e4) (e0)) = (op (e4) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 33.91/34.09 cut (((op (e4) (e0)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L54_); trivial.
% 33.91/34.09 apply zenon_Ha9. apply refl_equal.
% 33.91/34.09 apply zenon_Ha9. apply refl_equal.
% 33.91/34.09 apply zenon_He7. apply sym_equal. exact zenon_Hde.
% 33.91/34.09 (* end of lemma zenon_L95_ *)
% 33.91/34.09 assert (zenon_L96_ : (~((op (e4) (e1)) = (op (e4) (e4)))) -> ((op (e4) (unit)) = (e4)) -> ((unit) = (e1)) -> ((op (e4) (e4)) = (e4)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_He8 zenon_H99 zenon_H14 zenon_Hde.
% 33.91/34.09 cut (((op (e4) (unit)) = (e4)) = ((op (e4) (e1)) = (op (e4) (e4)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_He8.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H99.
% 33.91/34.09 cut (((e4) = (op (e4) (e4)))); [idtac | apply NNPP; zenon_intro zenon_He7].
% 33.91/34.09 cut (((op (e4) (unit)) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H9e].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e4) (e1)) = (op (e4) (e1)))); [ zenon_intro zenon_H37 | zenon_intro zenon_H38 ].
% 33.91/34.09 cut (((op (e4) (e1)) = (op (e4) (e1))) = ((op (e4) (unit)) = (op (e4) (e1)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H9e.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H37.
% 33.91/34.09 cut (((op (e4) (e1)) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 33.91/34.09 cut (((op (e4) (e1)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L48_); trivial.
% 33.91/34.09 apply zenon_H38. apply refl_equal.
% 33.91/34.09 apply zenon_H38. apply refl_equal.
% 33.91/34.09 apply zenon_He7. apply sym_equal. exact zenon_Hde.
% 33.91/34.09 (* end of lemma zenon_L96_ *)
% 33.91/34.09 assert (zenon_L97_ : (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (e4) (unit)) = (e4)) -> ((unit) = (e2)) -> ((op (e4) (e4)) = (e4)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_He9 zenon_H99 zenon_H21 zenon_Hde.
% 33.91/34.09 cut (((op (e4) (unit)) = (e4)) = ((op (e4) (e2)) = (op (e4) (e4)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_He9.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H99.
% 33.91/34.09 cut (((e4) = (op (e4) (e4)))); [idtac | apply NNPP; zenon_intro zenon_He7].
% 33.91/34.09 cut (((op (e4) (unit)) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e4) (e2)) = (op (e4) (e2)))); [ zenon_intro zenon_H95 | zenon_intro zenon_H96 ].
% 33.91/34.09 cut (((op (e4) (e2)) = (op (e4) (e2))) = ((op (e4) (unit)) = (op (e4) (e2)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Haf.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H95.
% 33.91/34.09 cut (((op (e4) (e2)) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 33.91/34.09 cut (((op (e4) (e2)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Had].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L57_); trivial.
% 33.91/34.09 apply zenon_H96. apply refl_equal.
% 33.91/34.09 apply zenon_H96. apply refl_equal.
% 33.91/34.09 apply zenon_He7. apply sym_equal. exact zenon_Hde.
% 33.91/34.09 (* end of lemma zenon_L97_ *)
% 33.91/34.09 assert (zenon_L98_ : (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (e4) (unit)) = (e4)) -> ((unit) = (e3)) -> ((op (e4) (e4)) = (e4)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_Hd4 zenon_H99 zenon_H2a zenon_Hde.
% 33.91/34.09 cut (((op (e4) (unit)) = (e4)) = ((op (e4) (e3)) = (op (e4) (e4)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hd4.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H99.
% 33.91/34.09 cut (((e4) = (op (e4) (e4)))); [idtac | apply NNPP; zenon_intro zenon_He7].
% 33.91/34.09 cut (((op (e4) (unit)) = (op (e4) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e4) (e3)) = (op (e4) (e3)))); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb3 ].
% 33.91/34.09 cut (((op (e4) (e3)) = (op (e4) (e3))) = ((op (e4) (unit)) = (op (e4) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hb5.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_Hb2.
% 33.91/34.09 cut (((op (e4) (e3)) = (op (e4) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hb3].
% 33.91/34.09 cut (((op (e4) (e3)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L59_); trivial.
% 33.91/34.09 apply zenon_Hb3. apply refl_equal.
% 33.91/34.09 apply zenon_Hb3. apply refl_equal.
% 33.91/34.09 apply zenon_He7. apply sym_equal. exact zenon_Hde.
% 33.91/34.09 (* end of lemma zenon_L98_ *)
% 33.91/34.09 assert (zenon_L99_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (e4) (e4)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H3b zenon_He6 zenon_He8 zenon_He9 zenon_Hde zenon_H99 zenon_Hd4 zenon_H32 zenon_H16 zenon_H34.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.09 apply (zenon_L95_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.09 apply (zenon_L96_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.09 apply (zenon_L97_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.09 apply (zenon_L98_); trivial.
% 33.91/34.09 apply (zenon_L11_); trivial.
% 33.91/34.09 (* end of lemma zenon_L99_ *)
% 33.91/34.09 assert (zenon_L100_ : ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e1)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e4) (e4)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_Hea zenon_He6 zenon_He8 zenon_He9 zenon_H3b zenon_H34 zenon_H32 zenon_H2c zenon_H2d zenon_H22 zenon_H20 zenon_H1f zenon_H17 zenon_H16 zenon_H18 zenon_Hc zenon_Hb zenon_H50 zenon_H51 zenon_H49 zenon_H43 zenon_H42 zenon_H41 zenon_H88 zenon_H7b zenon_H81 zenon_H83 zenon_H87 zenon_H89 zenon_H77 zenon_H6e zenon_H73 zenon_H57 zenon_H58 zenon_H61 zenon_H5f zenon_H68 zenon_He1 zenon_H9f zenon_H99 zenon_H9b zenon_Hc2 zenon_Hc3 zenon_Hbb zenon_Hba zenon_Hb6 zenon_Hb9 zenon_Haa zenon_Hb1 zenon_Ha1 zenon_Hc8 zenon_Hd3 zenon_Hd4 zenon_Hcc zenon_Hd9 zenon_H8e zenon_H91 zenon_He0.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hda | zenon_intro zenon_Hde ].
% 33.91/34.09 apply (zenon_L94_); trivial.
% 33.91/34.09 apply (zenon_L99_); trivial.
% 33.91/34.09 (* end of lemma zenon_L100_ *)
% 33.91/34.09 assert (zenon_L101_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> ((op (e1) (unit)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (unit) (e0)) = (e0)) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e3)) = (e2))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e4) (e2)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_He0 zenon_H2c zenon_H17 zenon_H2d zenon_H18 zenon_Hb zenon_H50 zenon_H43 zenon_H51 zenon_H49 zenon_H41 zenon_H42 zenon_H34 zenon_H16 zenon_H87 zenon_H83 zenon_H5f zenon_H81 zenon_H7b zenon_H89 zenon_H57 zenon_H58 zenon_H6e zenon_H77 zenon_H73 zenon_H61 zenon_H68 zenon_H88 zenon_He1 zenon_H3b zenon_Hc8 zenon_H32 zenon_H22 zenon_H20 zenon_H1f zenon_Hc9 zenon_H99 zenon_H91 zenon_Hc.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.91/34.09 apply (zenon_L12_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.91/34.09 apply (zenon_L20_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.91/34.09 apply (zenon_L41_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.91/34.09 exact (zenon_He1 zenon_He5).
% 33.91/34.09 apply (zenon_L73_); trivial.
% 33.91/34.09 (* end of lemma zenon_L101_ *)
% 33.91/34.09 assert (zenon_L102_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (unit)) = (e3)) -> ((unit) = (e0)) -> ((op (e3) (e3)) = (e3)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H68 zenon_H5f zenon_H9 zenon_H8d.
% 33.91/34.09 cut (((op (e3) (unit)) = (e3)) = ((op (e3) (e0)) = (op (e3) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H68.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H5f.
% 33.91/34.09 cut (((e3) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Heb].
% 33.91/34.09 cut (((op (e3) (unit)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H7e].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_H7f | zenon_intro zenon_H80 ].
% 33.91/34.09 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e3) (unit)) = (op (e3) (e0)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H7e.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H7f.
% 33.91/34.09 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H80].
% 33.91/34.09 cut (((op (e3) (e0)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H7a].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L34_); trivial.
% 33.91/34.09 apply zenon_H80. apply refl_equal.
% 33.91/34.09 apply zenon_H80. apply refl_equal.
% 33.91/34.09 apply zenon_Heb. apply sym_equal. exact zenon_H8d.
% 33.91/34.09 (* end of lemma zenon_L102_ *)
% 33.91/34.09 assert (zenon_L103_ : ((op (e4) (unit)) = (e4)) -> ((unit) = (e3)) -> ((op (e4) (e0)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H99 zenon_H2a zenon_H9a zenon_Hcc.
% 33.91/34.09 elim (classic ((op (e4) (e3)) = (op (e4) (e3)))); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb3 ].
% 33.91/34.09 cut (((op (e4) (e3)) = (op (e4) (e3))) = ((op (e4) (e0)) = (op (e4) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hcc.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_Hb2.
% 33.91/34.09 cut (((op (e4) (e3)) = (op (e4) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hb3].
% 33.91/34.09 cut (((op (e4) (e3)) = (op (e4) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hec].
% 33.91/34.09 congruence.
% 33.91/34.09 cut (((op (e4) (unit)) = (e4)) = ((op (e4) (e3)) = (op (e4) (e0)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hec.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H99.
% 33.91/34.09 cut (((e4) = (op (e4) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H9d].
% 33.91/34.09 cut (((op (e4) (unit)) = (op (e4) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e4) (e3)) = (op (e4) (e3)))); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb3 ].
% 33.91/34.09 cut (((op (e4) (e3)) = (op (e4) (e3))) = ((op (e4) (unit)) = (op (e4) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_Hb5.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_Hb2.
% 33.91/34.09 cut (((op (e4) (e3)) = (op (e4) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hb3].
% 33.91/34.09 cut (((op (e4) (e3)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L59_); trivial.
% 33.91/34.09 apply zenon_Hb3. apply refl_equal.
% 33.91/34.09 apply zenon_Hb3. apply refl_equal.
% 33.91/34.09 apply zenon_H9d. apply sym_equal. exact zenon_H9a.
% 33.91/34.09 apply zenon_Hb3. apply refl_equal.
% 33.91/34.09 apply zenon_Hb3. apply refl_equal.
% 33.91/34.09 (* end of lemma zenon_L103_ *)
% 33.91/34.09 assert (zenon_L104_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e3) (e3)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> ((op (e4) (e0)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H3b zenon_H8d zenon_H5f zenon_H68 zenon_H9b zenon_Hc8 zenon_Hcc zenon_H9a zenon_H99 zenon_H32 zenon_H16 zenon_H34.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.09 apply (zenon_L102_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.09 apply (zenon_L49_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.09 apply (zenon_L84_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.09 apply (zenon_L103_); trivial.
% 33.91/34.09 apply (zenon_L11_); trivial.
% 33.91/34.09 (* end of lemma zenon_L104_ *)
% 33.91/34.09 assert (zenon_L105_ : (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (unit)) = (e3)) -> ((unit) = (e1)) -> ((op (e3) (e3)) = (e3)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H73 zenon_H5f zenon_H14 zenon_H8d.
% 33.91/34.09 cut (((op (e3) (unit)) = (e3)) = ((op (e3) (e1)) = (op (e3) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H73.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H5f.
% 33.91/34.09 cut (((e3) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Heb].
% 33.91/34.09 cut (((op (e3) (unit)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H62 | zenon_intro zenon_H63 ].
% 33.91/34.09 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e3) (unit)) = (op (e3) (e1)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H66.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H62.
% 33.91/34.09 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H63].
% 33.91/34.09 cut (((op (e3) (e1)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L23_); trivial.
% 33.91/34.09 apply zenon_H63. apply refl_equal.
% 33.91/34.09 apply zenon_H63. apply refl_equal.
% 33.91/34.09 apply zenon_Heb. apply sym_equal. exact zenon_H8d.
% 33.91/34.09 (* end of lemma zenon_L105_ *)
% 33.91/34.09 assert (zenon_L106_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (e1)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H3b zenon_H68 zenon_H8d zenon_H5f zenon_H73 zenon_Hb1 zenon_Ha5 zenon_H99 zenon_H32 zenon_H16 zenon_H34.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.09 apply (zenon_L102_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.09 apply (zenon_L105_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.09 apply (zenon_L58_); trivial.
% 33.91/34.09 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.09 apply (zenon_L60_); trivial.
% 33.91/34.09 apply (zenon_L11_); trivial.
% 33.91/34.09 (* end of lemma zenon_L106_ *)
% 33.91/34.09 assert (zenon_L107_ : (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (unit)) = (e3)) -> ((unit) = (e2)) -> ((op (e3) (e3)) = (e3)) -> False).
% 33.91/34.09 do 0 intro. intros zenon_H77 zenon_H5f zenon_H21 zenon_H8d.
% 33.91/34.09 cut (((op (e3) (unit)) = (e3)) = ((op (e3) (e2)) = (op (e3) (e3)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H77.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H5f.
% 33.91/34.09 cut (((e3) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Heb].
% 33.91/34.09 cut (((op (e3) (unit)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 33.91/34.09 congruence.
% 33.91/34.09 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H85 | zenon_intro zenon_H86 ].
% 33.91/34.09 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (unit)) = (op (e3) (e2)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_H84.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_H85.
% 33.91/34.09 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 33.91/34.09 cut (((op (e3) (e2)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 33.91/34.09 congruence.
% 33.91/34.09 apply (zenon_L37_); trivial.
% 33.91/34.09 apply zenon_H86. apply refl_equal.
% 33.91/34.09 apply zenon_H86. apply refl_equal.
% 33.91/34.09 apply zenon_Heb. apply sym_equal. exact zenon_H8d.
% 33.91/34.09 (* end of lemma zenon_L107_ *)
% 33.91/34.09 assert (zenon_L108_ : ((op (unit) (e4)) = (e4)) -> ((unit) = (e4)) -> ((op (e4) (e2)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> False).
% 33.91/34.09 do 0 intro. intros zenon_Hd3 zenon_H33 zenon_Hc9 zenon_He9.
% 33.91/34.09 elim (classic ((op (e4) (e4)) = (op (e4) (e4)))); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd6 ].
% 33.91/34.09 cut (((op (e4) (e4)) = (op (e4) (e4))) = ((op (e4) (e2)) = (op (e4) (e4)))).
% 33.91/34.09 intro zenon_D_pnotp.
% 33.91/34.09 apply zenon_He9.
% 33.91/34.09 rewrite <- zenon_D_pnotp.
% 33.91/34.09 exact zenon_Hd5.
% 33.91/34.09 cut (((op (e4) (e4)) = (op (e4) (e4)))); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 33.91/34.09 cut (((op (e4) (e4)) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hed].
% 33.91/34.09 congruence.
% 33.91/34.10 cut (((op (unit) (e4)) = (e4)) = ((op (e4) (e4)) = (op (e4) (e2)))).
% 33.91/34.10 intro zenon_D_pnotp.
% 33.91/34.10 apply zenon_Hed.
% 33.91/34.10 rewrite <- zenon_D_pnotp.
% 33.91/34.10 exact zenon_Hd3.
% 33.91/34.10 cut (((e4) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hca].
% 33.91/34.10 cut (((op (unit) (e4)) = (op (e4) (e4)))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 33.91/34.10 congruence.
% 33.91/34.10 elim (classic ((op (e4) (e4)) = (op (e4) (e4)))); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd6 ].
% 33.91/34.10 cut (((op (e4) (e4)) = (op (e4) (e4))) = ((op (unit) (e4)) = (op (e4) (e4)))).
% 33.91/34.10 intro zenon_D_pnotp.
% 33.91/34.10 apply zenon_Hd8.
% 33.91/34.10 rewrite <- zenon_D_pnotp.
% 33.91/34.10 exact zenon_Hd5.
% 33.91/34.10 cut (((op (e4) (e4)) = (op (e4) (e4)))); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 33.91/34.10 cut (((op (e4) (e4)) = (op (unit) (e4)))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 33.91/34.10 congruence.
% 33.91/34.10 apply (zenon_L79_); trivial.
% 33.91/34.10 apply zenon_Hd6. apply refl_equal.
% 33.91/34.10 apply zenon_Hd6. apply refl_equal.
% 33.91/34.10 apply zenon_Hca. apply sym_equal. exact zenon_Hc9.
% 33.91/34.10 apply zenon_Hd6. apply refl_equal.
% 33.91/34.10 apply zenon_Hd6. apply refl_equal.
% 33.91/34.10 (* end of lemma zenon_L108_ *)
% 33.91/34.10 assert (zenon_L109_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> ((op (unit) (e4)) = (e4)) -> ((op (e4) (e2)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_H3b zenon_Hc8 zenon_H32 zenon_H8d zenon_H5f zenon_H77 zenon_H91 zenon_H99 zenon_Hd3 zenon_Hc9 zenon_He9.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.10 apply (zenon_L70_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.10 apply (zenon_L71_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.10 apply (zenon_L107_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.10 apply (zenon_L72_); trivial.
% 33.91/34.10 apply (zenon_L108_); trivial.
% 33.91/34.10 (* end of lemma zenon_L109_ *)
% 33.91/34.10 assert (zenon_L110_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> ((op (unit) (e4)) = (e4)) -> ((op (e4) (e3)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_H3b zenon_H68 zenon_H73 zenon_H8d zenon_H5f zenon_H77 zenon_H2d zenon_H17 zenon_H2c zenon_Hd3 zenon_Hcd zenon_Hd4.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.10 apply (zenon_L102_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.10 apply (zenon_L105_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.10 apply (zenon_L107_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.10 apply (zenon_L10_); trivial.
% 33.91/34.10 apply (zenon_L80_); trivial.
% 33.91/34.10 (* end of lemma zenon_L110_ *)
% 33.91/34.10 assert (zenon_L111_ : ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_Hea zenon_He6 zenon_He8 zenon_H3b zenon_H34 zenon_H16 zenon_H32 zenon_Hcc zenon_Hc8 zenon_H99 zenon_H9b zenon_H8d zenon_H5f zenon_H68 zenon_Hb1 zenon_H73 zenon_Hd3 zenon_He9 zenon_H91 zenon_H77 zenon_Hd4 zenon_H17 zenon_H2c zenon_H2d zenon_Hd9.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hda | zenon_intro zenon_Hde ].
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H9a | zenon_intro zenon_Hdb ].
% 33.91/34.10 apply (zenon_L104_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hdc ].
% 33.91/34.10 apply (zenon_L106_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ].
% 33.91/34.10 apply (zenon_L109_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ].
% 33.91/34.10 apply (zenon_L110_); trivial.
% 33.91/34.10 exact (zenon_Hda zenon_Hde).
% 33.91/34.10 apply (zenon_L99_); trivial.
% 33.91/34.10 (* end of lemma zenon_L111_ *)
% 33.91/34.10 assert (zenon_L112_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e1)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_Hee zenon_Hea zenon_He6 zenon_He8 zenon_He9 zenon_H3b zenon_H34 zenon_H32 zenon_H2c zenon_H2d zenon_H22 zenon_H20 zenon_H1f zenon_H17 zenon_H16 zenon_H18 zenon_Hc zenon_Hb zenon_H50 zenon_H51 zenon_H49 zenon_H43 zenon_H42 zenon_H41 zenon_H88 zenon_H7b zenon_H81 zenon_H83 zenon_H87 zenon_H77 zenon_H6e zenon_H73 zenon_H57 zenon_H58 zenon_H61 zenon_H5f zenon_H68 zenon_He1 zenon_H9f zenon_H99 zenon_H9b zenon_Hc2 zenon_Hbb zenon_Hba zenon_Hb6 zenon_Hb9 zenon_Haa zenon_Hb1 zenon_Ha1 zenon_Hc8 zenon_Hd3 zenon_Hd4 zenon_Hcc zenon_Hd9 zenon_H8e zenon_H91 zenon_He0 zenon_Hef.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H89 | zenon_intro zenon_H8d ].
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc9 ].
% 33.91/34.10 apply (zenon_L100_); trivial.
% 33.91/34.10 apply (zenon_L101_); trivial.
% 33.91/34.10 apply (zenon_L111_); trivial.
% 33.91/34.10 (* end of lemma zenon_L112_ *)
% 33.91/34.10 assert (zenon_L113_ : ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_Hea zenon_He6 zenon_He8 zenon_H3b zenon_H34 zenon_H16 zenon_H32 zenon_Hcc zenon_Hc8 zenon_H99 zenon_H9b zenon_H8d zenon_H5f zenon_H68 zenon_Hb1 zenon_H73 zenon_Hd3 zenon_He9 zenon_H91 zenon_H77 zenon_Hd4 zenon_Hba zenon_H58 zenon_H57 zenon_Hd9.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hda | zenon_intro zenon_Hde ].
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H9a | zenon_intro zenon_Hdb ].
% 33.91/34.10 apply (zenon_L104_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hdc ].
% 33.91/34.10 apply (zenon_L106_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ].
% 33.91/34.10 apply (zenon_L109_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ].
% 33.91/34.10 apply (zenon_L81_); trivial.
% 33.91/34.10 exact (zenon_Hda zenon_Hde).
% 33.91/34.10 apply (zenon_L99_); trivial.
% 33.91/34.10 (* end of lemma zenon_L113_ *)
% 33.91/34.10 assert (zenon_L114_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_Hee zenon_Hd9 zenon_Hba zenon_Hd4 zenon_H91 zenon_He9 zenon_Hd3 zenon_Hb1 zenon_H9b zenon_H99 zenon_Hc8 zenon_Hcc zenon_He8 zenon_He6 zenon_Hea zenon_H3b zenon_H34 zenon_H16 zenon_H32 zenon_H68 zenon_H22 zenon_H20 zenon_H1f zenon_H5f zenon_H61 zenon_H59 zenon_H58 zenon_H57 zenon_H73 zenon_H6e zenon_H77 zenon_H87 zenon_H83 zenon_H81 zenon_H7b zenon_H88.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H89 | zenon_intro zenon_H8d ].
% 33.91/34.10 apply (zenon_L41_); trivial.
% 33.91/34.10 apply (zenon_L113_); trivial.
% 33.91/34.10 (* end of lemma zenon_L114_ *)
% 33.91/34.10 assert (zenon_L115_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e4) (e1)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> ((op (unit) (e3)) = (e3)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_H3b zenon_H8e zenon_H5f zenon_H9f zenon_Ha5 zenon_H99 zenon_H77 zenon_H76 zenon_H20 zenon_H32 zenon_H16 zenon_H34.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.10 apply (zenon_L83_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.10 apply (zenon_L89_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.10 apply (zenon_L58_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.10 apply (zenon_L32_); trivial.
% 33.91/34.10 apply (zenon_L11_); trivial.
% 33.91/34.10 (* end of lemma zenon_L115_ *)
% 33.91/34.10 assert (zenon_L116_ : (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((unit) = (e3)) -> ((op (e3) (e3)) = (e2)) -> False).
% 33.91/34.10 do 0 intro. intros zenon_H77 zenon_Hc zenon_H2a zenon_He5.
% 33.91/34.10 cut (((op (unit) (e2)) = (e2)) = ((op (e3) (e2)) = (op (e3) (e3)))).
% 33.91/34.10 intro zenon_D_pnotp.
% 33.91/34.10 apply zenon_H77.
% 33.91/34.10 rewrite <- zenon_D_pnotp.
% 33.91/34.10 exact zenon_Hc.
% 33.91/34.10 cut (((e2) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hf0].
% 33.91/34.10 cut (((op (unit) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hc1].
% 33.91/34.10 congruence.
% 33.91/34.10 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H85 | zenon_intro zenon_H86 ].
% 33.91/34.10 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (unit) (e2)) = (op (e3) (e2)))).
% 33.91/34.10 intro zenon_D_pnotp.
% 33.91/34.10 apply zenon_Hc1.
% 33.91/34.10 rewrite <- zenon_D_pnotp.
% 33.91/34.10 exact zenon_H85.
% 33.91/34.10 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 33.91/34.10 cut (((op (e3) (e2)) = (op (unit) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 33.91/34.10 congruence.
% 33.91/34.10 apply (zenon_L66_); trivial.
% 33.91/34.10 apply zenon_H86. apply refl_equal.
% 33.91/34.10 apply zenon_H86. apply refl_equal.
% 33.91/34.10 apply zenon_Hf0. apply sym_equal. exact zenon_He5.
% 33.91/34.10 (* end of lemma zenon_L116_ *)
% 33.91/34.10 assert (zenon_L117_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e3) (e3)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e4) (e2)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_H3b zenon_H8e zenon_H76 zenon_H5f zenon_H9f zenon_H22 zenon_H20 zenon_H1f zenon_He5 zenon_Hc zenon_H77 zenon_Hd3 zenon_Hc9 zenon_He9.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.10 apply (zenon_L83_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.10 apply (zenon_L89_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.10 apply (zenon_L8_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.10 apply (zenon_L116_); trivial.
% 33.91/34.10 apply (zenon_L108_); trivial.
% 33.91/34.10 (* end of lemma zenon_L117_ *)
% 33.91/34.10 assert (zenon_L118_ : (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (unit)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e4))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_Hd9 zenon_Hc8 zenon_H9b zenon_H34 zenon_H16 zenon_H32 zenon_He9 zenon_H77 zenon_Hc zenon_He5 zenon_H1f zenon_H20 zenon_H22 zenon_H9f zenon_H5f zenon_H76 zenon_H8e zenon_Hd4 zenon_Hd3 zenon_H58 zenon_Hba zenon_H57 zenon_H91 zenon_H99 zenon_Hb1 zenon_Hcc zenon_H3b zenon_Hda.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H9a | zenon_intro zenon_Hdb ].
% 33.91/34.10 apply (zenon_L85_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hdc ].
% 33.91/34.10 apply (zenon_L115_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ].
% 33.91/34.10 apply (zenon_L117_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ].
% 33.91/34.10 apply (zenon_L81_); trivial.
% 33.91/34.10 exact (zenon_Hda zenon_Hde).
% 33.91/34.10 (* end of lemma zenon_L118_ *)
% 33.91/34.10 assert (zenon_L119_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (unit) (e0)) = (e0)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> ((op (e1) (unit)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e4) (e4)) = (e4))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e4)) = (e2))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_He0 zenon_Hb zenon_H50 zenon_H43 zenon_H51 zenon_H49 zenon_H41 zenon_H42 zenon_H88 zenon_H7b zenon_H81 zenon_H87 zenon_H6e zenon_H73 zenon_H61 zenon_H68 zenon_Hea zenon_He6 zenon_He8 zenon_Hee zenon_He9 zenon_Hc2 zenon_H2c zenon_H17 zenon_H2d zenon_H18 zenon_Ha1 zenon_Haa zenon_H16 zenon_H34 zenon_H77 zenon_Hb9 zenon_Hb6 zenon_Hda zenon_H3b zenon_Hcc zenon_Hb1 zenon_H99 zenon_H91 zenon_H57 zenon_Hba zenon_H58 zenon_Hd3 zenon_Hd4 zenon_Hc8 zenon_H32 zenon_H22 zenon_H20 zenon_H1f zenon_Hc zenon_H9b zenon_H76 zenon_H5f zenon_H9f zenon_H83 zenon_H8e zenon_Hd9 zenon_Hc3.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.91/34.10 apply (zenon_L12_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.91/34.10 apply (zenon_L20_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.91/34.10 apply (zenon_L114_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.91/34.10 apply (zenon_L118_); trivial.
% 33.91/34.10 apply (zenon_L92_); trivial.
% 33.91/34.10 (* end of lemma zenon_L119_ *)
% 33.91/34.10 assert (zenon_L120_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> ((op (unit) (e3)) = (e3)) -> ((op (unit) (e4)) = (e4)) -> ((op (e4) (e2)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_H3b zenon_H8e zenon_H5f zenon_H9f zenon_H22 zenon_H1f zenon_H77 zenon_H76 zenon_H20 zenon_Hd3 zenon_Hc9 zenon_He9.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.10 apply (zenon_L83_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.10 apply (zenon_L89_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.10 apply (zenon_L8_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.10 apply (zenon_L32_); trivial.
% 33.91/34.10 apply (zenon_L108_); trivial.
% 33.91/34.10 (* end of lemma zenon_L120_ *)
% 33.91/34.10 assert (zenon_L121_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (unit) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e1) = (op (e4) (e2))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_Hf1 zenon_Hef zenon_He0 zenon_H91 zenon_H8e zenon_Hd9 zenon_Hcc zenon_Hd4 zenon_Hd3 zenon_Hc8 zenon_Ha1 zenon_Hb1 zenon_Haa zenon_Hb9 zenon_Hb6 zenon_Hba zenon_Hbb zenon_Hc2 zenon_H9b zenon_H99 zenon_H9f zenon_H68 zenon_H5f zenon_H61 zenon_H58 zenon_H57 zenon_H73 zenon_H6e zenon_H77 zenon_H87 zenon_H83 zenon_H81 zenon_H7b zenon_H88 zenon_H41 zenon_H42 zenon_H43 zenon_H49 zenon_H51 zenon_H50 zenon_Hb zenon_Hc zenon_H18 zenon_H16 zenon_H17 zenon_H1f zenon_H20 zenon_H22 zenon_H2d zenon_H2c zenon_H32 zenon_H34 zenon_H3b zenon_He9 zenon_He8 zenon_He6 zenon_Hea zenon_Hee.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He1 | zenon_intro zenon_H76 ].
% 33.91/34.10 apply (zenon_L112_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc9 ].
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hda | zenon_intro zenon_Hde ].
% 33.91/34.10 apply (zenon_L119_); trivial.
% 33.91/34.10 apply (zenon_L99_); trivial.
% 33.91/34.10 apply (zenon_L120_); trivial.
% 33.91/34.10 (* end of lemma zenon_L121_ *)
% 33.91/34.10 assert (zenon_L122_ : (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (unit)) = (e2)) -> ((unit) = (e0)) -> ((op (e2) (e1)) = (e2)) -> False).
% 33.91/34.10 do 0 intro. intros zenon_Hbb zenon_H58 zenon_H9 zenon_Hf2.
% 33.91/34.10 cut (((op (e2) (unit)) = (e2)) = ((op (e2) (e0)) = (op (e2) (e1)))).
% 33.91/34.10 intro zenon_D_pnotp.
% 33.91/34.10 apply zenon_Hbb.
% 33.91/34.10 rewrite <- zenon_D_pnotp.
% 33.91/34.10 exact zenon_H58.
% 33.91/34.10 cut (((e2) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hf3].
% 33.91/34.10 cut (((op (e2) (unit)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H5b].
% 33.91/34.10 congruence.
% 33.91/34.10 elim (classic ((op (e2) (e0)) = (op (e2) (e0)))); [ zenon_intro zenon_H5c | zenon_intro zenon_H5d ].
% 33.91/34.10 cut (((op (e2) (e0)) = (op (e2) (e0))) = ((op (e2) (unit)) = (op (e2) (e0)))).
% 33.91/34.10 intro zenon_D_pnotp.
% 33.91/34.10 apply zenon_H5b.
% 33.91/34.10 rewrite <- zenon_D_pnotp.
% 33.91/34.10 exact zenon_H5c.
% 33.91/34.10 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 33.91/34.10 cut (((op (e2) (e0)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 33.91/34.10 congruence.
% 33.91/34.10 apply (zenon_L21_); trivial.
% 33.91/34.10 apply zenon_H5d. apply refl_equal.
% 33.91/34.10 apply zenon_H5d. apply refl_equal.
% 33.91/34.10 apply zenon_Hf3. apply sym_equal. exact zenon_Hf2.
% 33.91/34.10 (* end of lemma zenon_L122_ *)
% 33.91/34.10 assert (zenon_L123_ : ((op (e2) (unit)) = (e2)) -> ((unit) = (e3)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_H58 zenon_H2a zenon_Hf2 zenon_H6e.
% 33.91/34.10 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H25 | zenon_intro zenon_H26 ].
% 33.91/34.10 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (e1)) = (op (e2) (e3)))).
% 33.91/34.10 intro zenon_D_pnotp.
% 33.91/34.10 apply zenon_H6e.
% 33.91/34.10 rewrite <- zenon_D_pnotp.
% 33.91/34.10 exact zenon_H25.
% 33.91/34.10 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 33.91/34.10 cut (((op (e2) (e3)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hf4].
% 33.91/34.10 congruence.
% 33.91/34.10 cut (((op (e2) (unit)) = (e2)) = ((op (e2) (e3)) = (op (e2) (e1)))).
% 33.91/34.10 intro zenon_D_pnotp.
% 33.91/34.10 apply zenon_Hf4.
% 33.91/34.10 rewrite <- zenon_D_pnotp.
% 33.91/34.10 exact zenon_H58.
% 33.91/34.10 cut (((e2) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hf3].
% 33.91/34.10 cut (((op (e2) (unit)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 33.91/34.10 congruence.
% 33.91/34.10 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H25 | zenon_intro zenon_H26 ].
% 33.91/34.10 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (unit)) = (op (e2) (e3)))).
% 33.91/34.10 intro zenon_D_pnotp.
% 33.91/34.10 apply zenon_Hd1.
% 33.91/34.10 rewrite <- zenon_D_pnotp.
% 33.91/34.10 exact zenon_H25.
% 33.91/34.10 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 33.91/34.10 cut (((op (e2) (e3)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 33.91/34.10 congruence.
% 33.91/34.10 apply (zenon_L77_); trivial.
% 33.91/34.10 apply zenon_H26. apply refl_equal.
% 33.91/34.10 apply zenon_H26. apply refl_equal.
% 33.91/34.10 apply zenon_Hf3. apply sym_equal. exact zenon_Hf2.
% 33.91/34.10 apply zenon_H26. apply refl_equal.
% 33.91/34.10 apply zenon_H26. apply refl_equal.
% 33.91/34.10 (* end of lemma zenon_L123_ *)
% 33.91/34.10 assert (zenon_L124_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (e0)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_H3b zenon_Hbb zenon_H9b zenon_H9a zenon_H99 zenon_H22 zenon_H20 zenon_H1f zenon_H6e zenon_Hf2 zenon_H58 zenon_H32 zenon_H16 zenon_H34.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.10 apply (zenon_L122_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.10 apply (zenon_L49_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.10 apply (zenon_L8_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.10 apply (zenon_L123_); trivial.
% 33.91/34.10 apply (zenon_L11_); trivial.
% 33.91/34.10 (* end of lemma zenon_L124_ *)
% 33.91/34.10 assert (zenon_L125_ : (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e2) (unit)) = (e2)) -> ((unit) = (e3)) -> ((op (e2) (e4)) = (e2)) -> False).
% 33.91/34.10 do 0 intro. intros zenon_H1f zenon_H58 zenon_H2a zenon_Hb7.
% 33.91/34.10 cut (((op (e2) (unit)) = (e2)) = ((op (e2) (e3)) = (op (e2) (e4)))).
% 33.91/34.10 intro zenon_D_pnotp.
% 33.91/34.10 apply zenon_H1f.
% 33.91/34.10 rewrite <- zenon_D_pnotp.
% 33.91/34.10 exact zenon_H58.
% 33.91/34.10 cut (((e2) = (op (e2) (e4)))); [idtac | apply NNPP; zenon_intro zenon_Hb8].
% 33.91/34.10 cut (((op (e2) (unit)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 33.91/34.10 congruence.
% 33.91/34.10 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H25 | zenon_intro zenon_H26 ].
% 33.91/34.10 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (unit)) = (op (e2) (e3)))).
% 33.91/34.10 intro zenon_D_pnotp.
% 33.91/34.10 apply zenon_Hd1.
% 33.91/34.10 rewrite <- zenon_D_pnotp.
% 33.91/34.10 exact zenon_H25.
% 33.91/34.10 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 33.91/34.10 cut (((op (e2) (e3)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 33.91/34.10 congruence.
% 33.91/34.10 apply (zenon_L77_); trivial.
% 33.91/34.10 apply zenon_H26. apply refl_equal.
% 33.91/34.10 apply zenon_H26. apply refl_equal.
% 33.91/34.10 apply zenon_Hb8. apply sym_equal. exact zenon_Hb7.
% 33.91/34.10 (* end of lemma zenon_L125_ *)
% 33.91/34.10 assert (zenon_L126_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> ((op (e2) (e4)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_H3b zenon_Hb6 zenon_Hb9 zenon_H22 zenon_H20 zenon_Hb7 zenon_H58 zenon_H1f zenon_H32 zenon_H16 zenon_H34.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.10 apply (zenon_L62_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.10 apply (zenon_L63_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.10 apply (zenon_L8_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.10 apply (zenon_L125_); trivial.
% 33.91/34.10 apply (zenon_L11_); trivial.
% 33.91/34.10 (* end of lemma zenon_L126_ *)
% 33.91/34.10 assert (zenon_L127_ : ((op (unit) (e4)) = (e4)) -> ((unit) = (e4)) -> ((op (e4) (e1)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_Hd3 zenon_H33 zenon_Ha5 zenon_He8.
% 33.91/34.10 elim (classic ((op (e4) (e4)) = (op (e4) (e4)))); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd6 ].
% 33.91/34.10 cut (((op (e4) (e4)) = (op (e4) (e4))) = ((op (e4) (e1)) = (op (e4) (e4)))).
% 33.91/34.10 intro zenon_D_pnotp.
% 33.91/34.10 apply zenon_He8.
% 33.91/34.10 rewrite <- zenon_D_pnotp.
% 33.91/34.10 exact zenon_Hd5.
% 33.91/34.10 cut (((op (e4) (e4)) = (op (e4) (e4)))); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 33.91/34.10 cut (((op (e4) (e4)) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hf5].
% 33.91/34.10 congruence.
% 33.91/34.10 cut (((op (unit) (e4)) = (e4)) = ((op (e4) (e4)) = (op (e4) (e1)))).
% 33.91/34.10 intro zenon_D_pnotp.
% 33.91/34.10 apply zenon_Hf5.
% 33.91/34.10 rewrite <- zenon_D_pnotp.
% 33.91/34.10 exact zenon_Hd3.
% 33.91/34.10 cut (((e4) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 33.91/34.10 cut (((op (unit) (e4)) = (op (e4) (e4)))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 33.91/34.10 congruence.
% 33.91/34.10 elim (classic ((op (e4) (e4)) = (op (e4) (e4)))); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd6 ].
% 33.91/34.10 cut (((op (e4) (e4)) = (op (e4) (e4))) = ((op (unit) (e4)) = (op (e4) (e4)))).
% 33.91/34.10 intro zenon_D_pnotp.
% 33.91/34.10 apply zenon_Hd8.
% 33.91/34.10 rewrite <- zenon_D_pnotp.
% 33.91/34.10 exact zenon_Hd5.
% 33.91/34.10 cut (((op (e4) (e4)) = (op (e4) (e4)))); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 33.91/34.10 cut (((op (e4) (e4)) = (op (unit) (e4)))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 33.91/34.10 congruence.
% 33.91/34.10 apply (zenon_L79_); trivial.
% 33.91/34.10 apply zenon_Hd6. apply refl_equal.
% 33.91/34.10 apply zenon_Hd6. apply refl_equal.
% 33.91/34.10 apply zenon_Ha6. apply sym_equal. exact zenon_Ha5.
% 33.91/34.10 apply zenon_Hd6. apply refl_equal.
% 33.91/34.10 apply zenon_Hd6. apply refl_equal.
% 33.91/34.10 (* end of lemma zenon_L127_ *)
% 33.91/34.10 assert (zenon_L128_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> ((op (e3) (e4)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e4) (e1)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_H3b zenon_H9b zenon_H18 zenon_H17 zenon_H16 zenon_H32 zenon_H99 zenon_Hbf zenon_Hc zenon_H83 zenon_Hd3 zenon_Ha5 zenon_He8.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.10 apply (zenon_L55_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.10 apply (zenon_L6_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.10 apply (zenon_L58_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.10 apply (zenon_L67_); trivial.
% 33.91/34.10 apply (zenon_L127_); trivial.
% 33.91/34.10 (* end of lemma zenon_L128_ *)
% 33.91/34.10 assert (zenon_L129_ : (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> ((op (e4) (e3)) = (e2)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> ((e1) = (op (e4) (e2))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e2) (unit)) = (e2)) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> ((op (e4) (e1)) = (e4)) -> ((op (unit) (e4)) = (e4)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e2))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_Hc2 zenon_H2c zenon_H2d zenon_Ha1 zenon_H92 zenon_H91 zenon_Hb1 zenon_Haa zenon_H34 zenon_H1f zenon_H58 zenon_H20 zenon_H22 zenon_Hb9 zenon_Hb6 zenon_He8 zenon_Ha5 zenon_Hd3 zenon_H83 zenon_Hc zenon_H99 zenon_H32 zenon_H16 zenon_H17 zenon_H18 zenon_H9b zenon_H3b zenon_Hc3.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc4 ].
% 33.91/34.10 apply (zenon_L53_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hab | zenon_intro zenon_Hc5 ].
% 33.91/34.10 apply (zenon_L61_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc6 ].
% 33.91/34.10 apply (zenon_L126_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hc7 ].
% 33.91/34.10 apply (zenon_L128_); trivial.
% 33.91/34.10 exact (zenon_Hc3 zenon_Hc7).
% 33.91/34.10 (* end of lemma zenon_L129_ *)
% 33.91/34.10 assert (zenon_L130_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> ((op (unit) (e4)) = (e4)) -> ((op (e4) (e3)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_H3b zenon_Hcc zenon_Hb1 zenon_H99 zenon_H91 zenon_H6e zenon_Hf2 zenon_H58 zenon_Hd3 zenon_Hcd zenon_Hd4.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.91/34.10 apply (zenon_L74_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.91/34.10 apply (zenon_L75_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.91/34.10 apply (zenon_L76_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.91/34.10 apply (zenon_L123_); trivial.
% 33.91/34.10 apply (zenon_L80_); trivial.
% 33.91/34.10 (* end of lemma zenon_L130_ *)
% 33.91/34.10 assert (zenon_L131_ : (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e4) (e4)) = (e2))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> ((e1) = (op (e4) (e2))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> ((op (e4) (e3)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e4))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_Hd9 zenon_Hbb zenon_Hc3 zenon_H9b zenon_H18 zenon_H17 zenon_H16 zenon_H83 zenon_He8 zenon_Hb6 zenon_Hb9 zenon_H34 zenon_Haa zenon_Ha1 zenon_H2d zenon_H2c zenon_Hc2 zenon_H92 zenon_Hc zenon_H1f zenon_H20 zenon_H22 zenon_H32 zenon_Hc8 zenon_Hd4 zenon_Hd3 zenon_H58 zenon_Hf2 zenon_H6e zenon_H91 zenon_H99 zenon_Hb1 zenon_Hcc zenon_H3b zenon_Hda.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H9a | zenon_intro zenon_Hdb ].
% 33.91/34.10 apply (zenon_L124_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hdc ].
% 33.91/34.10 apply (zenon_L129_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ].
% 33.91/34.10 apply (zenon_L73_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ].
% 33.91/34.10 apply (zenon_L130_); trivial.
% 33.91/34.10 exact (zenon_Hda zenon_Hde).
% 33.91/34.10 (* end of lemma zenon_L131_ *)
% 33.91/34.10 assert (zenon_L132_ : ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e1)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e4)) = (e2))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_Hea zenon_He6 zenon_He9 zenon_H3b zenon_H34 zenon_H32 zenon_H2c zenon_H2d zenon_H22 zenon_H20 zenon_H1f zenon_H17 zenon_H16 zenon_H18 zenon_Hc zenon_Hb zenon_H50 zenon_H51 zenon_H49 zenon_H43 zenon_H42 zenon_H41 zenon_H88 zenon_H7b zenon_H81 zenon_H83 zenon_H87 zenon_H89 zenon_H77 zenon_H6e zenon_H73 zenon_H57 zenon_H58 zenon_H61 zenon_H5f zenon_H68 zenon_He1 zenon_Hd9 zenon_Hcc zenon_Hd4 zenon_Hc8 zenon_H91 zenon_Ha1 zenon_Hb1 zenon_Haa zenon_Hb9 zenon_Hb6 zenon_Hd3 zenon_He8 zenon_Hc3 zenon_Hc2 zenon_Hbb zenon_Hf2 zenon_H9b zenon_H99 zenon_He0.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hda | zenon_intro zenon_Hde ].
% 33.91/34.10 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.91/34.10 apply (zenon_L12_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.91/34.10 apply (zenon_L20_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.91/34.10 apply (zenon_L41_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.91/34.10 exact (zenon_He1 zenon_He5).
% 33.91/34.10 apply (zenon_L131_); trivial.
% 33.91/34.10 apply (zenon_L99_); trivial.
% 33.91/34.10 (* end of lemma zenon_L132_ *)
% 33.91/34.10 assert (zenon_L133_ : ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_Hea zenon_He6 zenon_He8 zenon_H3b zenon_H34 zenon_H16 zenon_H32 zenon_Hcc zenon_Hc8 zenon_H99 zenon_H9b zenon_H8d zenon_H5f zenon_H68 zenon_Hb1 zenon_H73 zenon_Hd3 zenon_He9 zenon_H91 zenon_H77 zenon_Hd4 zenon_Hf2 zenon_H58 zenon_H6e zenon_Hd9.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hda | zenon_intro zenon_Hde ].
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H9a | zenon_intro zenon_Hdb ].
% 33.91/34.10 apply (zenon_L104_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hdc ].
% 33.91/34.10 apply (zenon_L106_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ].
% 33.91/34.10 apply (zenon_L109_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ].
% 33.91/34.10 apply (zenon_L130_); trivial.
% 33.91/34.10 exact (zenon_Hda zenon_Hde).
% 33.91/34.10 apply (zenon_L99_); trivial.
% 33.91/34.10 (* end of lemma zenon_L133_ *)
% 33.91/34.10 assert (zenon_L134_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e1)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_Hee zenon_Hea zenon_He6 zenon_He9 zenon_H3b zenon_H34 zenon_H32 zenon_H2c zenon_H2d zenon_H22 zenon_H20 zenon_H1f zenon_H17 zenon_H16 zenon_H18 zenon_Hc zenon_Hb zenon_H50 zenon_H51 zenon_H49 zenon_H43 zenon_H42 zenon_H41 zenon_H88 zenon_H7b zenon_H81 zenon_H83 zenon_H87 zenon_H77 zenon_H6e zenon_H73 zenon_H57 zenon_H58 zenon_H61 zenon_H5f zenon_H68 zenon_He1 zenon_Hd9 zenon_Hcc zenon_Hd4 zenon_Hc8 zenon_H91 zenon_Ha1 zenon_Hb1 zenon_Haa zenon_Hb9 zenon_Hb6 zenon_Hd3 zenon_He8 zenon_Hc2 zenon_Hbb zenon_Hf2 zenon_H9b zenon_H99 zenon_He0 zenon_Hef.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H89 | zenon_intro zenon_H8d ].
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc9 ].
% 33.91/34.10 apply (zenon_L132_); trivial.
% 33.91/34.10 apply (zenon_L101_); trivial.
% 33.91/34.10 apply (zenon_L133_); trivial.
% 33.91/34.10 (* end of lemma zenon_L134_ *)
% 33.91/34.10 assert (zenon_L135_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_Hee zenon_Hd9 zenon_H2d zenon_H2c zenon_H17 zenon_Hd4 zenon_H91 zenon_He9 zenon_Hd3 zenon_Hb1 zenon_H9b zenon_H99 zenon_Hc8 zenon_Hcc zenon_He8 zenon_He6 zenon_Hea zenon_H3b zenon_H34 zenon_H16 zenon_H32 zenon_H68 zenon_H22 zenon_H20 zenon_H1f zenon_H5f zenon_H61 zenon_H59 zenon_H58 zenon_H57 zenon_H73 zenon_H6e zenon_H77 zenon_H87 zenon_H83 zenon_H81 zenon_H7b zenon_H88.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H89 | zenon_intro zenon_H8d ].
% 33.91/34.10 apply (zenon_L41_); trivial.
% 33.91/34.10 apply (zenon_L111_); trivial.
% 33.91/34.10 (* end of lemma zenon_L135_ *)
% 33.91/34.10 assert (zenon_L136_ : (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (unit)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e4))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_Hd9 zenon_Hc8 zenon_H9b zenon_H34 zenon_H16 zenon_H32 zenon_He9 zenon_H77 zenon_Hc zenon_He5 zenon_H1f zenon_H20 zenon_H22 zenon_H9f zenon_H5f zenon_H76 zenon_H8e zenon_Hd4 zenon_Hd3 zenon_H58 zenon_Hf2 zenon_H6e zenon_H91 zenon_H99 zenon_Hb1 zenon_Hcc zenon_H3b zenon_Hda.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H9a | zenon_intro zenon_Hdb ].
% 33.91/34.10 apply (zenon_L85_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hdc ].
% 33.91/34.10 apply (zenon_L115_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ].
% 33.91/34.10 apply (zenon_L117_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ].
% 33.91/34.10 apply (zenon_L130_); trivial.
% 33.91/34.10 exact (zenon_Hda zenon_Hde).
% 33.91/34.10 (* end of lemma zenon_L136_ *)
% 33.91/34.10 assert (zenon_L137_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (unit) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e1) = (op (e4) (e2))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 33.91/34.10 do 0 intro. intros zenon_Hf1 zenon_H9f zenon_H8e zenon_Hef zenon_He0 zenon_H99 zenon_H9b zenon_Hf2 zenon_Hbb zenon_Hc2 zenon_He8 zenon_Hd3 zenon_Hb6 zenon_Hb9 zenon_Haa zenon_Hb1 zenon_Ha1 zenon_H91 zenon_Hc8 zenon_Hd4 zenon_Hcc zenon_Hd9 zenon_H68 zenon_H5f zenon_H61 zenon_H58 zenon_H57 zenon_H73 zenon_H6e zenon_H77 zenon_H87 zenon_H83 zenon_H81 zenon_H7b zenon_H88 zenon_H41 zenon_H42 zenon_H43 zenon_H49 zenon_H51 zenon_H50 zenon_Hb zenon_Hc zenon_H18 zenon_H16 zenon_H17 zenon_H1f zenon_H20 zenon_H22 zenon_H2d zenon_H2c zenon_H32 zenon_H34 zenon_H3b zenon_He9 zenon_He6 zenon_Hea zenon_Hee.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He1 | zenon_intro zenon_H76 ].
% 33.91/34.10 apply (zenon_L134_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc9 ].
% 33.91/34.10 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hda | zenon_intro zenon_Hde ].
% 33.91/34.10 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.91/34.10 apply (zenon_L12_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.91/34.10 apply (zenon_L20_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.91/34.10 apply (zenon_L135_); trivial.
% 33.91/34.10 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.91/34.10 apply (zenon_L136_); trivial.
% 33.91/34.10 apply (zenon_L131_); trivial.
% 33.91/34.10 apply (zenon_L99_); trivial.
% 33.91/34.10 apply (zenon_L120_); trivial.
% 33.91/34.10 (* end of lemma zenon_L137_ *)
% 33.91/34.10 assert (zenon_L138_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e4)) = (e2)))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e1)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.10 do 0 intro. intros zenon_Hf6 zenon_H18 zenon_Hc zenon_Hb zenon_H50 zenon_H51 zenon_H49 zenon_H43 zenon_H42 zenon_H41 zenon_Ha1 zenon_Haa zenon_Hc2 zenon_Hbb zenon_He0 zenon_Hef zenon_H8e zenon_H9f zenon_Hf1 zenon_Hf7 zenon_H88 zenon_H7b zenon_H81 zenon_H83 zenon_H87 zenon_H77 zenon_H6e zenon_H73 zenon_H57 zenon_H61 zenon_H5f zenon_H68 zenon_Hea zenon_He6 zenon_He8 zenon_Hcc zenon_Hc8 zenon_H99 zenon_H9b zenon_Hb1 zenon_Hd3 zenon_He9 zenon_H91 zenon_Hd4 zenon_H17 zenon_H2c zenon_H2d zenon_Hd9 zenon_Hee zenon_H3b zenon_Hb6 zenon_Hb9 zenon_H22 zenon_H20 zenon_H58 zenon_H1f zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.10 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hba | zenon_intro zenon_Hf8 ].
% 33.93/34.10 apply (zenon_L121_); trivial.
% 33.93/34.10 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf9 ].
% 33.93/34.10 apply (zenon_L137_); trivial.
% 33.93/34.10 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfa ].
% 33.93/34.10 exact (zenon_Hf7 zenon_Hfb).
% 33.93/34.10 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H59 | zenon_intro zenon_Hb7 ].
% 33.93/34.10 apply (zenon_L135_); trivial.
% 33.93/34.10 apply (zenon_L126_); trivial.
% 33.93/34.10 (* end of lemma zenon_L138_ *)
% 33.93/34.10 assert (zenon_L139_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (unit)) = (e2)) -> ((unit) = (e0)) -> ((op (e2) (e2)) = (e2)) -> False).
% 33.93/34.10 do 0 intro. intros zenon_Hfc zenon_H58 zenon_H9 zenon_Hfb.
% 33.93/34.10 cut (((op (e2) (unit)) = (e2)) = ((op (e2) (e0)) = (op (e2) (e2)))).
% 33.93/34.10 intro zenon_D_pnotp.
% 33.93/34.10 apply zenon_Hfc.
% 33.93/34.10 rewrite <- zenon_D_pnotp.
% 33.93/34.10 exact zenon_H58.
% 33.93/34.10 cut (((e2) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hfd].
% 33.93/34.10 cut (((op (e2) (unit)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H5b].
% 33.93/34.10 congruence.
% 33.93/34.10 elim (classic ((op (e2) (e0)) = (op (e2) (e0)))); [ zenon_intro zenon_H5c | zenon_intro zenon_H5d ].
% 33.93/34.10 cut (((op (e2) (e0)) = (op (e2) (e0))) = ((op (e2) (unit)) = (op (e2) (e0)))).
% 33.93/34.10 intro zenon_D_pnotp.
% 33.93/34.10 apply zenon_H5b.
% 33.93/34.10 rewrite <- zenon_D_pnotp.
% 33.93/34.10 exact zenon_H5c.
% 33.93/34.10 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 33.93/34.10 cut (((op (e2) (e0)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 33.93/34.10 congruence.
% 33.93/34.10 apply (zenon_L21_); trivial.
% 33.93/34.10 apply zenon_H5d. apply refl_equal.
% 33.93/34.10 apply zenon_H5d. apply refl_equal.
% 33.93/34.10 apply zenon_Hfd. apply sym_equal. exact zenon_Hfb.
% 33.93/34.10 (* end of lemma zenon_L139_ *)
% 33.93/34.10 assert (zenon_L140_ : (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (unit)) = (e2)) -> ((unit) = (e1)) -> ((op (e2) (e2)) = (e2)) -> False).
% 33.93/34.10 do 0 intro. intros zenon_Hfe zenon_H58 zenon_H14 zenon_Hfb.
% 33.93/34.10 cut (((op (e2) (unit)) = (e2)) = ((op (e2) (e1)) = (op (e2) (e2)))).
% 33.93/34.10 intro zenon_D_pnotp.
% 33.93/34.10 apply zenon_Hfe.
% 33.93/34.10 rewrite <- zenon_D_pnotp.
% 33.93/34.10 exact zenon_H58.
% 33.93/34.10 cut (((e2) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hfd].
% 33.93/34.10 cut (((op (e2) (unit)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 33.93/34.10 congruence.
% 33.93/34.10 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H70 | zenon_intro zenon_H71 ].
% 33.93/34.10 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e2) (unit)) = (op (e2) (e1)))).
% 33.93/34.10 intro zenon_D_pnotp.
% 33.93/34.10 apply zenon_H6f.
% 33.93/34.10 rewrite <- zenon_D_pnotp.
% 33.93/34.10 exact zenon_H70.
% 33.93/34.10 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 33.93/34.10 cut (((op (e2) (e1)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H6d].
% 33.93/34.10 congruence.
% 33.93/34.10 apply (zenon_L28_); trivial.
% 33.93/34.10 apply zenon_H71. apply refl_equal.
% 33.93/34.10 apply zenon_H71. apply refl_equal.
% 33.93/34.10 apply zenon_Hfd. apply sym_equal. exact zenon_Hfb.
% 33.93/34.10 (* end of lemma zenon_L140_ *)
% 33.93/34.10 assert (zenon_L141_ : ((op (e2) (unit)) = (e2)) -> ((unit) = (e3)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> False).
% 33.93/34.10 do 0 intro. intros zenon_H58 zenon_H2a zenon_Hfb zenon_Hff.
% 33.93/34.10 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H25 | zenon_intro zenon_H26 ].
% 33.93/34.10 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (e2)) = (op (e2) (e3)))).
% 33.93/34.10 intro zenon_D_pnotp.
% 33.93/34.10 apply zenon_Hff.
% 33.93/34.10 rewrite <- zenon_D_pnotp.
% 33.93/34.10 exact zenon_H25.
% 33.93/34.10 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 33.93/34.10 cut (((op (e2) (e3)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H100].
% 33.93/34.10 congruence.
% 33.93/34.10 cut (((op (e2) (unit)) = (e2)) = ((op (e2) (e3)) = (op (e2) (e2)))).
% 33.93/34.10 intro zenon_D_pnotp.
% 33.93/34.10 apply zenon_H100.
% 33.93/34.10 rewrite <- zenon_D_pnotp.
% 33.93/34.10 exact zenon_H58.
% 33.93/34.10 cut (((e2) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hfd].
% 33.93/34.10 cut (((op (e2) (unit)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 33.93/34.10 congruence.
% 33.93/34.10 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H25 | zenon_intro zenon_H26 ].
% 33.93/34.10 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (unit)) = (op (e2) (e3)))).
% 33.93/34.10 intro zenon_D_pnotp.
% 33.93/34.10 apply zenon_Hd1.
% 33.93/34.10 rewrite <- zenon_D_pnotp.
% 33.93/34.10 exact zenon_H25.
% 33.93/34.10 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 33.93/34.10 cut (((op (e2) (e3)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 33.93/34.10 congruence.
% 33.93/34.10 apply (zenon_L77_); trivial.
% 33.93/34.10 apply zenon_H26. apply refl_equal.
% 33.93/34.10 apply zenon_H26. apply refl_equal.
% 33.93/34.10 apply zenon_Hfd. apply sym_equal. exact zenon_Hfb.
% 33.93/34.10 apply zenon_H26. apply refl_equal.
% 33.93/34.10 apply zenon_H26. apply refl_equal.
% 33.93/34.10 (* end of lemma zenon_L141_ *)
% 33.93/34.10 assert (zenon_L142_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.10 do 0 intro. intros zenon_H3b zenon_Hfc zenon_Hfe zenon_H22 zenon_H20 zenon_H1f zenon_Hff zenon_Hfb zenon_H58 zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.10 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.10 apply (zenon_L139_); trivial.
% 33.93/34.10 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.10 apply (zenon_L140_); trivial.
% 33.93/34.10 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.10 apply (zenon_L8_); trivial.
% 33.93/34.10 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.10 apply (zenon_L141_); trivial.
% 33.93/34.10 apply (zenon_L11_); trivial.
% 33.93/34.10 (* end of lemma zenon_L142_ *)
% 33.93/34.10 assert (zenon_L143_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (unit) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e1) = (op (e4) (e2))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e4)) = (e2)))))) -> False).
% 33.93/34.10 do 0 intro. intros zenon_H101 zenon_Hfc zenon_Hfe zenon_Hff zenon_Hf1 zenon_Hef zenon_He0 zenon_H91 zenon_H8e zenon_Hd9 zenon_Hcc zenon_Hd4 zenon_Hd3 zenon_Hc8 zenon_Ha1 zenon_Hb1 zenon_Haa zenon_Hb9 zenon_Hb6 zenon_Hbb zenon_Hc2 zenon_H9b zenon_H99 zenon_H9f zenon_H68 zenon_H5f zenon_H61 zenon_H58 zenon_H57 zenon_H73 zenon_H6e zenon_H77 zenon_H87 zenon_H83 zenon_H81 zenon_H7b zenon_H88 zenon_H41 zenon_H42 zenon_H43 zenon_H49 zenon_H51 zenon_H50 zenon_Hb zenon_Hc zenon_H18 zenon_H16 zenon_H17 zenon_H1f zenon_H20 zenon_H22 zenon_H2d zenon_H2c zenon_H32 zenon_H34 zenon_H3b zenon_He9 zenon_He8 zenon_He6 zenon_Hea zenon_Hee zenon_Hf6.
% 33.93/34.10 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hfb ].
% 33.93/34.10 apply (zenon_L138_); trivial.
% 33.93/34.10 apply (zenon_L142_); trivial.
% 33.93/34.10 (* end of lemma zenon_L143_ *)
% 33.93/34.10 assert (zenon_L144_ : (~((op (e1) (e0)) = (op (e1) (unit)))) -> ((unit) = (e0)) -> False).
% 33.93/34.10 do 0 intro. intros zenon_H102 zenon_H9.
% 33.93/34.10 cut (((e0) = (unit))); [idtac | apply NNPP; zenon_intro zenon_Ha].
% 33.93/34.10 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 33.93/34.10 congruence.
% 33.93/34.10 apply zenon_H12. apply refl_equal.
% 33.93/34.10 apply zenon_Ha. apply sym_equal. exact zenon_H9.
% 33.93/34.10 (* end of lemma zenon_L144_ *)
% 33.93/34.10 assert (zenon_L145_ : (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (unit)) = (e1)) -> ((unit) = (e0)) -> ((op (e1) (e2)) = (e1)) -> False).
% 33.93/34.10 do 0 intro. intros zenon_H103 zenon_H2c zenon_H9 zenon_H104.
% 33.93/34.10 cut (((op (e1) (unit)) = (e1)) = ((op (e1) (e0)) = (op (e1) (e2)))).
% 33.93/34.10 intro zenon_D_pnotp.
% 33.93/34.10 apply zenon_H103.
% 33.93/34.10 rewrite <- zenon_D_pnotp.
% 33.93/34.10 exact zenon_H2c.
% 33.93/34.10 cut (((e1) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H105].
% 33.93/34.10 cut (((op (e1) (unit)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H106].
% 33.93/34.10 congruence.
% 33.93/34.10 elim (classic ((op (e1) (e0)) = (op (e1) (e0)))); [ zenon_intro zenon_H107 | zenon_intro zenon_H108 ].
% 33.93/34.10 cut (((op (e1) (e0)) = (op (e1) (e0))) = ((op (e1) (unit)) = (op (e1) (e0)))).
% 33.93/34.10 intro zenon_D_pnotp.
% 33.93/34.10 apply zenon_H106.
% 33.93/34.10 rewrite <- zenon_D_pnotp.
% 33.93/34.10 exact zenon_H107.
% 33.93/34.10 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 33.93/34.10 cut (((op (e1) (e0)) = (op (e1) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H102].
% 33.93/34.10 congruence.
% 33.93/34.10 apply (zenon_L144_); trivial.
% 33.93/34.10 apply zenon_H108. apply refl_equal.
% 33.93/34.10 apply zenon_H108. apply refl_equal.
% 33.93/34.10 apply zenon_H105. apply sym_equal. exact zenon_H104.
% 33.93/34.10 (* end of lemma zenon_L145_ *)
% 33.93/34.10 assert (zenon_L146_ : (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((unit) = (e1)) -> ((op (e1) (e2)) = (e1)) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H109 zenon_H16 zenon_H14 zenon_H104.
% 33.93/34.11 cut (((op (unit) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e1) (e2)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H109.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H16.
% 33.93/34.11 cut (((e1) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H105].
% 33.93/34.11 cut (((op (unit) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 33.93/34.11 congruence.
% 33.93/34.11 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_H19 | zenon_intro zenon_H1a ].
% 33.93/34.11 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (unit) (e1)) = (op (e1) (e1)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H1d.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H19.
% 33.93/34.11 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a].
% 33.93/34.11 cut (((op (e1) (e1)) = (op (unit) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H13].
% 33.93/34.11 congruence.
% 33.93/34.11 apply (zenon_L5_); trivial.
% 33.93/34.11 apply zenon_H1a. apply refl_equal.
% 33.93/34.11 apply zenon_H1a. apply refl_equal.
% 33.93/34.11 apply zenon_H105. apply sym_equal. exact zenon_H104.
% 33.93/34.11 (* end of lemma zenon_L146_ *)
% 33.93/34.11 assert (zenon_L147_ : ((op (e1) (unit)) = (e1)) -> ((unit) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H2c zenon_H2a zenon_H104 zenon_H49.
% 33.93/34.11 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 33.93/34.11 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e2)) = (op (e1) (e3)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H49.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H2e.
% 33.93/34.11 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 33.93/34.11 cut (((op (e1) (e3)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10a].
% 33.93/34.11 congruence.
% 33.93/34.11 cut (((op (e1) (unit)) = (e1)) = ((op (e1) (e3)) = (op (e1) (e2)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H10a.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H2c.
% 33.93/34.11 cut (((e1) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H105].
% 33.93/34.11 cut (((op (e1) (unit)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H31].
% 33.93/34.11 congruence.
% 33.93/34.11 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 33.93/34.11 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (unit)) = (op (e1) (e3)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H31.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H2e.
% 33.93/34.11 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 33.93/34.11 cut (((op (e1) (e3)) = (op (e1) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 33.93/34.11 congruence.
% 33.93/34.11 apply (zenon_L9_); trivial.
% 33.93/34.11 apply zenon_H2f. apply refl_equal.
% 33.93/34.11 apply zenon_H2f. apply refl_equal.
% 33.93/34.11 apply zenon_H105. apply sym_equal. exact zenon_H104.
% 33.93/34.11 apply zenon_H2f. apply refl_equal.
% 33.93/34.11 apply zenon_H2f. apply refl_equal.
% 33.93/34.11 (* end of lemma zenon_L147_ *)
% 33.93/34.11 assert (zenon_L148_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H3b zenon_H103 zenon_H109 zenon_H22 zenon_H20 zenon_H1f zenon_H49 zenon_H104 zenon_H2c zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.11 apply (zenon_L145_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.11 apply (zenon_L146_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.11 apply (zenon_L8_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.11 apply (zenon_L147_); trivial.
% 33.93/34.11 apply (zenon_L11_); trivial.
% 33.93/34.11 (* end of lemma zenon_L148_ *)
% 33.93/34.11 assert (zenon_L149_ : (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (unit) (e0)) = (e0)) -> ((unit) = (e0)) -> ((op (e0) (e2)) = (e0)) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H10b zenon_H42 zenon_H9 zenon_H10c.
% 33.93/34.11 cut (((op (unit) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e0) (e2)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H10b.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H42.
% 33.93/34.11 cut (((e0) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10d].
% 33.93/34.11 cut (((op (unit) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 33.93/34.11 congruence.
% 33.93/34.11 elim (classic ((op (e0) (e0)) = (op (e0) (e0)))); [ zenon_intro zenon_H46 | zenon_intro zenon_H47 ].
% 33.93/34.11 cut (((op (e0) (e0)) = (op (e0) (e0))) = ((op (unit) (e0)) = (op (e0) (e0)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H45.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H46.
% 33.93/34.11 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H47].
% 33.93/34.11 cut (((op (e0) (e0)) = (op (unit) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 33.93/34.11 congruence.
% 33.93/34.11 apply (zenon_L14_); trivial.
% 33.93/34.11 apply zenon_H47. apply refl_equal.
% 33.93/34.11 apply zenon_H47. apply refl_equal.
% 33.93/34.11 apply zenon_H10d. apply sym_equal. exact zenon_H10c.
% 33.93/34.11 (* end of lemma zenon_L149_ *)
% 33.93/34.11 assert (zenon_L150_ : ((op (e0) (unit)) = (e0)) -> ((unit) = (e3)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H50 zenon_H2a zenon_H10c zenon_Hb.
% 33.93/34.11 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H52 | zenon_intro zenon_H53 ].
% 33.93/34.11 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e2)) = (op (e0) (e3)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_Hb.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H52.
% 33.93/34.11 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 33.93/34.11 cut (((op (e0) (e3)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10e].
% 33.93/34.11 congruence.
% 33.93/34.11 cut (((op (e0) (unit)) = (e0)) = ((op (e0) (e3)) = (op (e0) (e2)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H10e.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H50.
% 33.93/34.11 cut (((e0) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10d].
% 33.93/34.11 cut (((op (e0) (unit)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 33.93/34.11 congruence.
% 33.93/34.11 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H52 | zenon_intro zenon_H53 ].
% 33.93/34.11 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (unit)) = (op (e0) (e3)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H55.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H52.
% 33.93/34.11 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 33.93/34.11 cut (((op (e0) (e3)) = (op (e0) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H4f].
% 33.93/34.11 congruence.
% 33.93/34.11 apply (zenon_L18_); trivial.
% 33.93/34.11 apply zenon_H53. apply refl_equal.
% 33.93/34.11 apply zenon_H53. apply refl_equal.
% 33.93/34.11 apply zenon_H10d. apply sym_equal. exact zenon_H10c.
% 33.93/34.11 apply zenon_H53. apply refl_equal.
% 33.93/34.11 apply zenon_H53. apply refl_equal.
% 33.93/34.11 (* end of lemma zenon_L150_ *)
% 33.93/34.11 assert (zenon_L151_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e1) (e3)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (unit)) = (e0)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H3b zenon_H42 zenon_H10b zenon_H4a zenon_Hc zenon_H49 zenon_H22 zenon_H20 zenon_H1f zenon_Hb zenon_H10c zenon_H50 zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.11 apply (zenon_L149_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.11 apply (zenon_L17_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.11 apply (zenon_L8_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.11 apply (zenon_L150_); trivial.
% 33.93/34.11 apply (zenon_L11_); trivial.
% 33.93/34.11 (* end of lemma zenon_L151_ *)
% 33.93/34.11 assert (zenon_L152_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (unit)) = (e0)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e4) (e3)) = (e2)) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H3b zenon_H42 zenon_H10b zenon_H18 zenon_H17 zenon_H16 zenon_H22 zenon_H20 zenon_H1f zenon_Hb zenon_H10c zenon_H50 zenon_H91 zenon_Hc zenon_H92.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.11 apply (zenon_L149_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.11 apply (zenon_L6_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.11 apply (zenon_L8_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.11 apply (zenon_L150_); trivial.
% 33.93/34.11 apply (zenon_L44_); trivial.
% 33.93/34.11 (* end of lemma zenon_L152_ *)
% 33.93/34.11 assert (zenon_L153_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e1) = (op (e4) (e2))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (unit)) = (e0)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> False).
% 33.93/34.11 do 0 intro. intros zenon_He0 zenon_H2c zenon_H2d zenon_H49 zenon_H88 zenon_H7b zenon_H81 zenon_H83 zenon_H87 zenon_H77 zenon_H6e zenon_H73 zenon_H57 zenon_H58 zenon_H61 zenon_H5f zenon_H68 zenon_H32 zenon_H34 zenon_Hea zenon_He6 zenon_He8 zenon_Hcc zenon_Hc8 zenon_H99 zenon_H9b zenon_Hb1 zenon_Hd3 zenon_He9 zenon_Hd4 zenon_Hba zenon_Hd9 zenon_Hee zenon_He1 zenon_H3b zenon_H42 zenon_H10b zenon_H18 zenon_H17 zenon_H16 zenon_H22 zenon_H20 zenon_H1f zenon_Hb zenon_H10c zenon_H50 zenon_H91 zenon_Hc.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.93/34.11 apply (zenon_L12_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.93/34.11 apply (zenon_L151_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.93/34.11 apply (zenon_L114_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.93/34.11 exact (zenon_He1 zenon_He5).
% 33.93/34.11 apply (zenon_L152_); trivial.
% 33.93/34.11 (* end of lemma zenon_L153_ *)
% 33.93/34.11 assert (zenon_L154_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_Hf1 zenon_H8e zenon_H9f zenon_H3b zenon_H34 zenon_H32 zenon_H2c zenon_H2d zenon_H22 zenon_H20 zenon_H1f zenon_H17 zenon_H16 zenon_H18 zenon_Hc zenon_Hb zenon_H50 zenon_H49 zenon_H10c zenon_H42 zenon_H10b zenon_Hee zenon_Hd9 zenon_Hba zenon_Hd4 zenon_H91 zenon_He9 zenon_Hd3 zenon_Hb1 zenon_H9b zenon_H99 zenon_Hc8 zenon_Hcc zenon_He8 zenon_He6 zenon_Hea zenon_H68 zenon_H5f zenon_H61 zenon_H58 zenon_H57 zenon_H73 zenon_H6e zenon_H77 zenon_H87 zenon_H83 zenon_H81 zenon_H7b zenon_H88 zenon_He0.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He1 | zenon_intro zenon_H76 ].
% 33.93/34.11 apply (zenon_L153_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hda | zenon_intro zenon_Hde ].
% 33.93/34.11 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.93/34.11 apply (zenon_L12_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.93/34.11 apply (zenon_L151_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.93/34.11 apply (zenon_L114_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.93/34.11 apply (zenon_L118_); trivial.
% 33.93/34.11 apply (zenon_L152_); trivial.
% 33.93/34.11 apply (zenon_L99_); trivial.
% 33.93/34.11 (* end of lemma zenon_L154_ *)
% 33.93/34.11 assert (zenon_L155_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_Hee zenon_Hd9 zenon_Hf2 zenon_Hd4 zenon_H91 zenon_He9 zenon_Hd3 zenon_Hb1 zenon_H9b zenon_H99 zenon_Hc8 zenon_Hcc zenon_He8 zenon_He6 zenon_Hea zenon_H3b zenon_H34 zenon_H16 zenon_H32 zenon_H68 zenon_H22 zenon_H20 zenon_H1f zenon_H5f zenon_H61 zenon_H59 zenon_H58 zenon_H57 zenon_H73 zenon_H6e zenon_H77 zenon_H87 zenon_H83 zenon_H81 zenon_H7b zenon_H88.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H89 | zenon_intro zenon_H8d ].
% 33.93/34.11 apply (zenon_L41_); trivial.
% 33.93/34.11 apply (zenon_L133_); trivial.
% 33.93/34.11 (* end of lemma zenon_L155_ *)
% 33.93/34.11 assert (zenon_L156_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e1) = (op (e4) (e2))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (unit)) = (e0)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> False).
% 33.93/34.11 do 0 intro. intros zenon_He0 zenon_H2c zenon_H2d zenon_H49 zenon_H88 zenon_H7b zenon_H81 zenon_H83 zenon_H87 zenon_H77 zenon_H6e zenon_H73 zenon_H57 zenon_H58 zenon_H61 zenon_H5f zenon_H68 zenon_H32 zenon_H34 zenon_Hea zenon_He6 zenon_He8 zenon_Hcc zenon_Hc8 zenon_H99 zenon_H9b zenon_Hb1 zenon_Hd3 zenon_He9 zenon_Hd4 zenon_Hf2 zenon_Hd9 zenon_Hee zenon_He1 zenon_H3b zenon_H42 zenon_H10b zenon_H18 zenon_H17 zenon_H16 zenon_H22 zenon_H20 zenon_H1f zenon_Hb zenon_H10c zenon_H50 zenon_H91 zenon_Hc.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.93/34.11 apply (zenon_L12_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.93/34.11 apply (zenon_L151_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.93/34.11 apply (zenon_L155_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.93/34.11 exact (zenon_He1 zenon_He5).
% 33.93/34.11 apply (zenon_L152_); trivial.
% 33.93/34.11 (* end of lemma zenon_L156_ *)
% 33.93/34.11 assert (zenon_L157_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (unit)) = (e0)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> False).
% 33.93/34.11 do 0 intro. intros zenon_He0 zenon_H2c zenon_H2d zenon_H49 zenon_H88 zenon_H7b zenon_H81 zenon_H83 zenon_H87 zenon_H73 zenon_H57 zenon_H61 zenon_H68 zenon_Hea zenon_He6 zenon_He8 zenon_Hee zenon_Hda zenon_Hcc zenon_Hb1 zenon_H99 zenon_H6e zenon_Hf2 zenon_H58 zenon_Hd3 zenon_Hd4 zenon_H8e zenon_H76 zenon_H5f zenon_H9f zenon_H77 zenon_He9 zenon_H32 zenon_H34 zenon_H9b zenon_Hc8 zenon_Hd9 zenon_H3b zenon_H42 zenon_H10b zenon_H18 zenon_H17 zenon_H16 zenon_H22 zenon_H20 zenon_H1f zenon_Hb zenon_H10c zenon_H50 zenon_H91 zenon_Hc.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.93/34.11 apply (zenon_L12_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.93/34.11 apply (zenon_L151_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.93/34.11 apply (zenon_L155_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.93/34.11 apply (zenon_L136_); trivial.
% 33.93/34.11 apply (zenon_L152_); trivial.
% 33.93/34.11 (* end of lemma zenon_L157_ *)
% 33.93/34.11 assert (zenon_L158_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_Hf1 zenon_H8e zenon_H9f zenon_H3b zenon_H34 zenon_H32 zenon_H2c zenon_H2d zenon_H22 zenon_H20 zenon_H1f zenon_H17 zenon_H16 zenon_H18 zenon_Hc zenon_Hb zenon_H50 zenon_H49 zenon_H10c zenon_H42 zenon_H10b zenon_Hee zenon_Hd9 zenon_Hf2 zenon_Hd4 zenon_H91 zenon_He9 zenon_Hd3 zenon_Hb1 zenon_H9b zenon_H99 zenon_Hc8 zenon_Hcc zenon_He8 zenon_He6 zenon_Hea zenon_H68 zenon_H5f zenon_H61 zenon_H58 zenon_H57 zenon_H73 zenon_H6e zenon_H77 zenon_H87 zenon_H83 zenon_H81 zenon_H7b zenon_H88 zenon_He0.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He1 | zenon_intro zenon_H76 ].
% 33.93/34.11 apply (zenon_L156_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hda | zenon_intro zenon_Hde ].
% 33.93/34.11 apply (zenon_L157_); trivial.
% 33.93/34.11 apply (zenon_L99_); trivial.
% 33.93/34.11 (* end of lemma zenon_L158_ *)
% 33.93/34.11 assert (zenon_L159_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e4)) = (e2)))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (unit) (e0)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_Hf6 zenon_He0 zenon_H10b zenon_H42 zenon_H10c zenon_H49 zenon_H50 zenon_Hb zenon_Hc zenon_H18 zenon_H9f zenon_H8e zenon_Hf1 zenon_Hf7 zenon_H88 zenon_H7b zenon_H81 zenon_H83 zenon_H87 zenon_H77 zenon_H6e zenon_H73 zenon_H57 zenon_H61 zenon_H5f zenon_H68 zenon_Hea zenon_He6 zenon_He8 zenon_Hcc zenon_Hc8 zenon_H99 zenon_H9b zenon_Hb1 zenon_Hd3 zenon_He9 zenon_H91 zenon_Hd4 zenon_H17 zenon_H2c zenon_H2d zenon_Hd9 zenon_Hee zenon_H3b zenon_Hb6 zenon_Hb9 zenon_H22 zenon_H20 zenon_H58 zenon_H1f zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hba | zenon_intro zenon_Hf8 ].
% 33.93/34.11 apply (zenon_L154_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf9 ].
% 33.93/34.11 apply (zenon_L158_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfa ].
% 33.93/34.11 exact (zenon_Hf7 zenon_Hfb).
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H59 | zenon_intro zenon_Hb7 ].
% 33.93/34.11 apply (zenon_L135_); trivial.
% 33.93/34.11 apply (zenon_L126_); trivial.
% 33.93/34.11 (* end of lemma zenon_L159_ *)
% 33.93/34.11 assert (zenon_L160_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e4)) = (e2)))))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H101 zenon_Hfc zenon_Hfe zenon_Hff zenon_Hf1 zenon_H8e zenon_H9f zenon_H3b zenon_H34 zenon_H32 zenon_H2c zenon_H2d zenon_H22 zenon_H20 zenon_H1f zenon_H17 zenon_H16 zenon_H18 zenon_Hc zenon_Hb zenon_H50 zenon_H49 zenon_H10c zenon_H42 zenon_H10b zenon_Hee zenon_Hd9 zenon_Hd4 zenon_H91 zenon_He9 zenon_Hd3 zenon_Hb1 zenon_H9b zenon_H99 zenon_Hc8 zenon_Hcc zenon_He8 zenon_He6 zenon_Hea zenon_H68 zenon_H5f zenon_H61 zenon_H58 zenon_H57 zenon_H73 zenon_H6e zenon_H77 zenon_H87 zenon_H83 zenon_H81 zenon_H7b zenon_H88 zenon_He0 zenon_Hb9 zenon_Hb6 zenon_Hf6.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hfb ].
% 33.93/34.11 apply (zenon_L159_); trivial.
% 33.93/34.11 apply (zenon_L142_); trivial.
% 33.93/34.11 (* end of lemma zenon_L160_ *)
% 33.93/34.11 assert (zenon_L161_ : (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> ((unit) = (e0)) -> ((op (e1) (e3)) = (e1)) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H2d zenon_H2c zenon_H9 zenon_H10f.
% 33.93/34.11 cut (((op (e1) (unit)) = (e1)) = ((op (e1) (e0)) = (op (e1) (e3)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H2d.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H2c.
% 33.93/34.11 cut (((e1) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 33.93/34.11 cut (((op (e1) (unit)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H106].
% 33.93/34.11 congruence.
% 33.93/34.11 elim (classic ((op (e1) (e0)) = (op (e1) (e0)))); [ zenon_intro zenon_H107 | zenon_intro zenon_H108 ].
% 33.93/34.11 cut (((op (e1) (e0)) = (op (e1) (e0))) = ((op (e1) (unit)) = (op (e1) (e0)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H106.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H107.
% 33.93/34.11 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 33.93/34.11 cut (((op (e1) (e0)) = (op (e1) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H102].
% 33.93/34.11 congruence.
% 33.93/34.11 apply (zenon_L144_); trivial.
% 33.93/34.11 apply zenon_H108. apply refl_equal.
% 33.93/34.11 apply zenon_H108. apply refl_equal.
% 33.93/34.11 apply zenon_H110. apply sym_equal. exact zenon_H10f.
% 33.93/34.11 (* end of lemma zenon_L161_ *)
% 33.93/34.11 assert (zenon_L162_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e1) (e3)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H3b zenon_H10f zenon_H2c zenon_H2d zenon_Hbb zenon_H22 zenon_H20 zenon_H1f zenon_H57 zenon_Hba zenon_H58 zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.11 apply (zenon_L161_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.11 apply (zenon_L65_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.11 apply (zenon_L8_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.11 apply (zenon_L78_); trivial.
% 33.93/34.11 apply (zenon_L11_); trivial.
% 33.93/34.11 (* end of lemma zenon_L162_ *)
% 33.93/34.11 assert (zenon_L163_ : (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (unit) (e1)) = (e1)) -> ((unit) = (e1)) -> ((op (e1) (e3)) = (e1)) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H111 zenon_H16 zenon_H14 zenon_H10f.
% 33.93/34.11 cut (((op (unit) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e1) (e3)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H111.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H16.
% 33.93/34.11 cut (((e1) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 33.93/34.11 cut (((op (unit) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 33.93/34.11 congruence.
% 33.93/34.11 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_H19 | zenon_intro zenon_H1a ].
% 33.93/34.11 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (unit) (e1)) = (op (e1) (e1)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H1d.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H19.
% 33.93/34.11 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a].
% 33.93/34.11 cut (((op (e1) (e1)) = (op (unit) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H13].
% 33.93/34.11 congruence.
% 33.93/34.11 apply (zenon_L5_); trivial.
% 33.93/34.11 apply zenon_H1a. apply refl_equal.
% 33.93/34.11 apply zenon_H1a. apply refl_equal.
% 33.93/34.11 apply zenon_H110. apply sym_equal. exact zenon_H10f.
% 33.93/34.11 (* end of lemma zenon_L163_ *)
% 33.93/34.11 assert (zenon_L164_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H3b zenon_H2c zenon_H2d zenon_H10f zenon_H111 zenon_H22 zenon_H20 zenon_H1f zenon_H6e zenon_Hf2 zenon_H58 zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.11 apply (zenon_L161_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.11 apply (zenon_L163_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.11 apply (zenon_L8_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.11 apply (zenon_L123_); trivial.
% 33.93/34.11 apply (zenon_L11_); trivial.
% 33.93/34.11 (* end of lemma zenon_L164_ *)
% 33.93/34.11 assert (zenon_L165_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (unit)) = (e0)) -> ((op (unit) (e4)) = (e4)) -> ((op (e4) (e3)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H3b zenon_H2c zenon_H2d zenon_H10f zenon_H16 zenon_H111 zenon_H8d zenon_H5f zenon_H77 zenon_Hb zenon_H10c zenon_H50 zenon_Hd3 zenon_Hcd zenon_Hd4.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.11 apply (zenon_L161_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.11 apply (zenon_L163_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.11 apply (zenon_L107_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.11 apply (zenon_L150_); trivial.
% 33.93/34.11 apply (zenon_L80_); trivial.
% 33.93/34.11 (* end of lemma zenon_L165_ *)
% 33.93/34.11 assert (zenon_L166_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_Hee zenon_Hd9 zenon_H2d zenon_H2c zenon_H10f zenon_H111 zenon_Hb zenon_H50 zenon_H10c zenon_Hd4 zenon_H91 zenon_He9 zenon_Hd3 zenon_Hb1 zenon_H9b zenon_H99 zenon_Hc8 zenon_Hcc zenon_He8 zenon_He6 zenon_Hea zenon_H3b zenon_H34 zenon_H16 zenon_H32 zenon_H68 zenon_H22 zenon_H20 zenon_H1f zenon_H5f zenon_H61 zenon_H59 zenon_H58 zenon_H57 zenon_H73 zenon_H6e zenon_H77 zenon_H87 zenon_H83 zenon_H81 zenon_H7b zenon_H88.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H89 | zenon_intro zenon_H8d ].
% 33.93/34.11 apply (zenon_L41_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hda | zenon_intro zenon_Hde ].
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H9a | zenon_intro zenon_Hdb ].
% 33.93/34.11 apply (zenon_L104_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hdc ].
% 33.93/34.11 apply (zenon_L106_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ].
% 33.93/34.11 apply (zenon_L109_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ].
% 33.93/34.11 apply (zenon_L165_); trivial.
% 33.93/34.11 exact (zenon_Hda zenon_Hde).
% 33.93/34.11 apply (zenon_L99_); trivial.
% 33.93/34.11 (* end of lemma zenon_L166_ *)
% 33.93/34.11 assert (zenon_L167_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e4)) = (e2)))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_Hf6 zenon_Hbb zenon_Hf7 zenon_H88 zenon_H7b zenon_H81 zenon_H83 zenon_H87 zenon_H77 zenon_H6e zenon_H73 zenon_H57 zenon_H61 zenon_H5f zenon_H68 zenon_Hea zenon_He6 zenon_He8 zenon_Hcc zenon_Hc8 zenon_H99 zenon_H9b zenon_Hb1 zenon_Hd3 zenon_He9 zenon_H91 zenon_Hd4 zenon_H10c zenon_H50 zenon_Hb zenon_H111 zenon_H10f zenon_H2c zenon_H2d zenon_Hd9 zenon_Hee zenon_H3b zenon_Hb6 zenon_Hb9 zenon_H22 zenon_H20 zenon_H58 zenon_H1f zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hba | zenon_intro zenon_Hf8 ].
% 33.93/34.11 apply (zenon_L162_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf9 ].
% 33.93/34.11 apply (zenon_L164_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfa ].
% 33.93/34.11 exact (zenon_Hf7 zenon_Hfb).
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H59 | zenon_intro zenon_Hb7 ].
% 33.93/34.11 apply (zenon_L166_); trivial.
% 33.93/34.11 apply (zenon_L126_); trivial.
% 33.93/34.11 (* end of lemma zenon_L167_ *)
% 33.93/34.11 assert (zenon_L168_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e4)) = (e2)))))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H101 zenon_Hfc zenon_Hfe zenon_Hff zenon_H3b zenon_H34 zenon_H16 zenon_H32 zenon_H57 zenon_H22 zenon_H20 zenon_H1f zenon_H58 zenon_Hbb zenon_H10f zenon_H2c zenon_H2d zenon_H6e zenon_H111 zenon_Hee zenon_Hd9 zenon_Hb zenon_H50 zenon_H10c zenon_Hd4 zenon_H91 zenon_He9 zenon_Hd3 zenon_Hb1 zenon_H9b zenon_H99 zenon_Hc8 zenon_Hcc zenon_He8 zenon_He6 zenon_Hea zenon_H68 zenon_H5f zenon_H61 zenon_H73 zenon_H77 zenon_H87 zenon_H83 zenon_H81 zenon_H7b zenon_H88 zenon_Hb9 zenon_Hb6 zenon_Hf6.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hfb ].
% 33.93/34.11 apply (zenon_L167_); trivial.
% 33.93/34.11 apply (zenon_L142_); trivial.
% 33.93/34.11 (* end of lemma zenon_L168_ *)
% 33.93/34.11 assert (zenon_L169_ : (~((op (e1) (e0)) = (op (e1) (e4)))) -> ((op (e1) (unit)) = (e1)) -> ((unit) = (e0)) -> ((op (e1) (e4)) = (e1)) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H112 zenon_H2c zenon_H9 zenon_H113.
% 33.93/34.11 cut (((op (e1) (unit)) = (e1)) = ((op (e1) (e0)) = (op (e1) (e4)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H112.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H2c.
% 33.93/34.11 cut (((e1) = (op (e1) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H114].
% 33.93/34.11 cut (((op (e1) (unit)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H106].
% 33.93/34.11 congruence.
% 33.93/34.11 elim (classic ((op (e1) (e0)) = (op (e1) (e0)))); [ zenon_intro zenon_H107 | zenon_intro zenon_H108 ].
% 33.93/34.11 cut (((op (e1) (e0)) = (op (e1) (e0))) = ((op (e1) (unit)) = (op (e1) (e0)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H106.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H107.
% 33.93/34.11 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 33.93/34.11 cut (((op (e1) (e0)) = (op (e1) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H102].
% 33.93/34.11 congruence.
% 33.93/34.11 apply (zenon_L144_); trivial.
% 33.93/34.11 apply zenon_H108. apply refl_equal.
% 33.93/34.11 apply zenon_H108. apply refl_equal.
% 33.93/34.11 apply zenon_H114. apply sym_equal. exact zenon_H113.
% 33.93/34.11 (* end of lemma zenon_L169_ *)
% 33.93/34.11 assert (zenon_L170_ : (~((op (e1) (e1)) = (op (e1) (e4)))) -> ((op (unit) (e1)) = (e1)) -> ((unit) = (e1)) -> ((op (e1) (e4)) = (e1)) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H115 zenon_H16 zenon_H14 zenon_H113.
% 33.93/34.11 cut (((op (unit) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e1) (e4)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H115.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H16.
% 33.93/34.11 cut (((e1) = (op (e1) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H114].
% 33.93/34.11 cut (((op (unit) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 33.93/34.11 congruence.
% 33.93/34.11 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_H19 | zenon_intro zenon_H1a ].
% 33.93/34.11 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (unit) (e1)) = (op (e1) (e1)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H1d.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H19.
% 33.93/34.11 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a].
% 33.93/34.11 cut (((op (e1) (e1)) = (op (unit) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H13].
% 33.93/34.11 congruence.
% 33.93/34.11 apply (zenon_L5_); trivial.
% 33.93/34.11 apply zenon_H1a. apply refl_equal.
% 33.93/34.11 apply zenon_H1a. apply refl_equal.
% 33.93/34.11 apply zenon_H114. apply sym_equal. exact zenon_H113.
% 33.93/34.11 (* end of lemma zenon_L170_ *)
% 33.93/34.11 assert (zenon_L171_ : (~((op (e1) (e3)) = (op (e1) (e4)))) -> ((op (e1) (unit)) = (e1)) -> ((unit) = (e3)) -> ((op (e1) (e4)) = (e1)) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H116 zenon_H2c zenon_H2a zenon_H113.
% 33.93/34.11 cut (((op (e1) (unit)) = (e1)) = ((op (e1) (e3)) = (op (e1) (e4)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H116.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H2c.
% 33.93/34.11 cut (((e1) = (op (e1) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H114].
% 33.93/34.11 cut (((op (e1) (unit)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H31].
% 33.93/34.11 congruence.
% 33.93/34.11 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 33.93/34.11 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (unit)) = (op (e1) (e3)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H31.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H2e.
% 33.93/34.11 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 33.93/34.11 cut (((op (e1) (e3)) = (op (e1) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 33.93/34.11 congruence.
% 33.93/34.11 apply (zenon_L9_); trivial.
% 33.93/34.11 apply zenon_H2f. apply refl_equal.
% 33.93/34.11 apply zenon_H2f. apply refl_equal.
% 33.93/34.11 apply zenon_H114. apply sym_equal. exact zenon_H113.
% 33.93/34.11 (* end of lemma zenon_L171_ *)
% 33.93/34.11 assert (zenon_L172_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e1) (e4)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H3b zenon_H112 zenon_H115 zenon_H22 zenon_H20 zenon_H1f zenon_H113 zenon_H2c zenon_H116 zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.11 apply (zenon_L169_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.11 apply (zenon_L170_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.11 apply (zenon_L8_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.11 apply (zenon_L171_); trivial.
% 33.93/34.11 apply (zenon_L11_); trivial.
% 33.93/34.11 (* end of lemma zenon_L172_ *)
% 33.93/34.11 assert (zenon_L173_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e3)) = (e1))\/((op (e1) (e4)) = (e1)))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (unit) (e0)) = (e0)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e4)) = (e2)))))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H117 zenon_He0 zenon_H10b zenon_H42 zenon_Hc zenon_H18 zenon_H9f zenon_H8e zenon_Hf1 zenon_H118 zenon_H49 zenon_H109 zenon_H103 zenon_Hf6 zenon_Hb6 zenon_Hb9 zenon_H88 zenon_H7b zenon_H81 zenon_H83 zenon_H87 zenon_H77 zenon_H73 zenon_H61 zenon_H5f zenon_H68 zenon_Hea zenon_He6 zenon_He8 zenon_Hcc zenon_Hc8 zenon_H99 zenon_H9b zenon_Hb1 zenon_Hd3 zenon_He9 zenon_H91 zenon_Hd4 zenon_H10c zenon_H50 zenon_Hb zenon_Hd9 zenon_Hee zenon_H111 zenon_H6e zenon_H2d zenon_Hbb zenon_H58 zenon_H57 zenon_Hff zenon_Hfe zenon_Hfc zenon_H101 zenon_H3b zenon_H112 zenon_H115 zenon_H22 zenon_H20 zenon_H1f zenon_H2c zenon_H116 zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H17 | zenon_intro zenon_H119 ].
% 33.93/34.11 apply (zenon_L160_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H11b | zenon_intro zenon_H11a ].
% 33.93/34.11 exact (zenon_H118 zenon_H11b).
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H104 | zenon_intro zenon_H11c ].
% 33.93/34.11 apply (zenon_L148_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H10f | zenon_intro zenon_H113 ].
% 33.93/34.11 apply (zenon_L168_); trivial.
% 33.93/34.11 apply (zenon_L172_); trivial.
% 33.93/34.11 (* end of lemma zenon_L173_ *)
% 33.93/34.11 assert (zenon_L174_ : (~((op (op (e4) (e2)) (op (e4) (e2))) = (op (e1) (e1)))) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H11d zenon_H34.
% 33.93/34.11 cut (((op (e4) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H11e].
% 33.93/34.11 cut (((op (e4) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H11e].
% 33.93/34.11 congruence.
% 33.93/34.11 apply zenon_H11e. apply sym_equal. exact zenon_H34.
% 33.93/34.11 apply zenon_H11e. apply sym_equal. exact zenon_H34.
% 33.93/34.11 (* end of lemma zenon_L174_ *)
% 33.93/34.11 assert (zenon_L175_ : ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> ((op (e1) (e2)) = (e0)) -> ((e1) = (op (e4) (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H11f zenon_H120 zenon_H34 zenon_H109.
% 33.93/34.11 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 33.93/34.11 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e1) (e1)) = (op (e1) (e2)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H109.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H4d.
% 33.93/34.11 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 33.93/34.11 cut (((op (e1) (e2)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H121].
% 33.93/34.11 congruence.
% 33.93/34.11 cut (((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) = ((op (e1) (e2)) = (op (e1) (e1)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H121.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H11f.
% 33.93/34.11 cut (((op (op (e4) (e2)) (op (e4) (e2))) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H11d].
% 33.93/34.11 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H122].
% 33.93/34.11 congruence.
% 33.93/34.11 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 33.93/34.11 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((e0) = (op (e1) (e2)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H122.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H4d.
% 33.93/34.11 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 33.93/34.11 cut (((op (e1) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H123].
% 33.93/34.11 congruence.
% 33.93/34.11 exact (zenon_H123 zenon_H120).
% 33.93/34.11 apply zenon_H4e. apply refl_equal.
% 33.93/34.11 apply zenon_H4e. apply refl_equal.
% 33.93/34.11 apply (zenon_L174_); trivial.
% 33.93/34.11 apply zenon_H4e. apply refl_equal.
% 33.93/34.11 apply zenon_H4e. apply refl_equal.
% 33.93/34.11 (* end of lemma zenon_L175_ *)
% 33.93/34.11 assert (zenon_L176_ : (~((op (e3) (e0)) = (op (unit) (e0)))) -> ((unit) = (e3)) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H124 zenon_H2a.
% 33.93/34.11 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 33.93/34.11 cut (((e3) = (unit))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 33.93/34.11 congruence.
% 33.93/34.11 apply zenon_H2b. apply sym_equal. exact zenon_H2a.
% 33.93/34.11 apply zenon_H3f. apply refl_equal.
% 33.93/34.11 (* end of lemma zenon_L176_ *)
% 33.93/34.11 assert (zenon_L177_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (unit) (e0)) = (e0)) -> ((unit) = (e3)) -> ((op (e3) (e2)) = (e0)) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H8e zenon_H42 zenon_H2a zenon_H125.
% 33.93/34.11 cut (((op (unit) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e2)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H8e.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H42.
% 33.93/34.11 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H126].
% 33.93/34.11 cut (((op (unit) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H127].
% 33.93/34.11 congruence.
% 33.93/34.11 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_H7f | zenon_intro zenon_H80 ].
% 33.93/34.11 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (unit) (e0)) = (op (e3) (e0)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H127.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H7f.
% 33.93/34.11 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H80].
% 33.93/34.11 cut (((op (e3) (e0)) = (op (unit) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 33.93/34.11 congruence.
% 33.93/34.11 apply (zenon_L176_); trivial.
% 33.93/34.11 apply zenon_H80. apply refl_equal.
% 33.93/34.11 apply zenon_H80. apply refl_equal.
% 33.93/34.11 apply zenon_H126. apply sym_equal. exact zenon_H125.
% 33.93/34.11 (* end of lemma zenon_L177_ *)
% 33.93/34.11 assert (zenon_L178_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e3) (e2)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H3b zenon_H2c zenon_H2d zenon_H10f zenon_H111 zenon_H22 zenon_H20 zenon_H1f zenon_H125 zenon_H42 zenon_H8e zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.11 apply (zenon_L161_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.11 apply (zenon_L163_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.11 apply (zenon_L8_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.11 apply (zenon_L177_); trivial.
% 33.93/34.11 apply (zenon_L11_); trivial.
% 33.93/34.11 (* end of lemma zenon_L178_ *)
% 33.93/34.11 assert (zenon_L179_ : ((e1) = (op (e4) (e2))) -> ((op (e4) (e2)) = (e0)) -> (~((e0) = (e1))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H34 zenon_H128 zenon_H129.
% 33.93/34.11 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12 ].
% 33.93/34.11 cut (((e1) = (e1)) = ((e0) = (e1))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H129.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H12a.
% 33.93/34.11 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 33.93/34.11 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 33.93/34.11 congruence.
% 33.93/34.11 cut (((e1) = (op (e4) (e2))) = ((e1) = (e0))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H12b.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H34.
% 33.93/34.11 cut (((op (e4) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H12c].
% 33.93/34.11 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 33.93/34.11 congruence.
% 33.93/34.11 apply zenon_H12. apply refl_equal.
% 33.93/34.11 exact (zenon_H12c zenon_H128).
% 33.93/34.11 apply zenon_H12. apply refl_equal.
% 33.93/34.11 apply zenon_H12. apply refl_equal.
% 33.93/34.11 (* end of lemma zenon_L179_ *)
% 33.93/34.11 assert (zenon_L180_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e4) (e2)) = (e0)))))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e4)) = (e2)))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e3)) = (e1))\/((op (e1) (e4)) = (e1)))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> (~((e0) = (e1))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H12d zenon_H116 zenon_H115 zenon_H112 zenon_H101 zenon_Hfc zenon_Hfe zenon_Hff zenon_H57 zenon_H58 zenon_Hbb zenon_H6e zenon_Hee zenon_Hd9 zenon_Hb zenon_H50 zenon_Hd4 zenon_H91 zenon_He9 zenon_Hd3 zenon_Hb1 zenon_H9b zenon_H99 zenon_Hc8 zenon_Hcc zenon_He8 zenon_He6 zenon_Hea zenon_H68 zenon_H5f zenon_H61 zenon_H73 zenon_H77 zenon_H87 zenon_H83 zenon_H81 zenon_H7b zenon_H88 zenon_Hb9 zenon_Hb6 zenon_Hf6 zenon_H103 zenon_H49 zenon_H118 zenon_Hf1 zenon_H9f zenon_H18 zenon_Hc zenon_H10b zenon_He0 zenon_H117 zenon_H109 zenon_H11f zenon_H12e zenon_H16 zenon_H32 zenon_H8e zenon_H42 zenon_H1f zenon_H20 zenon_H22 zenon_H111 zenon_H10f zenon_H2d zenon_H2c zenon_H3b zenon_H34 zenon_H129.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H10c | zenon_intro zenon_H12f ].
% 33.93/34.11 apply (zenon_L173_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H120 | zenon_intro zenon_H130 ].
% 33.93/34.11 apply (zenon_L175_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H132 | zenon_intro zenon_H131 ].
% 33.93/34.11 exact (zenon_H12e zenon_H132).
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H125 | zenon_intro zenon_H128 ].
% 33.93/34.11 apply (zenon_L178_); trivial.
% 33.93/34.11 apply (zenon_L179_); trivial.
% 33.93/34.11 (* end of lemma zenon_L180_ *)
% 33.93/34.11 assert (zenon_L181_ : (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e3)) = (e1))\/((op (e1) (e4)) = (e1)))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e4)) = (e2)))))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e4) (e2)) = (e0)))))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H51 zenon_H43 zenon_H41 zenon_Hc2 zenon_Haa zenon_Ha1 zenon_Hef zenon_H129 zenon_H2d zenon_H111 zenon_H42 zenon_H8e zenon_H12e zenon_H11f zenon_H109 zenon_H117 zenon_He0 zenon_H10b zenon_Hc zenon_H18 zenon_H9f zenon_Hf1 zenon_H118 zenon_H49 zenon_H103 zenon_Hf6 zenon_Hb6 zenon_Hb9 zenon_H88 zenon_H7b zenon_H81 zenon_H83 zenon_H87 zenon_H77 zenon_H73 zenon_H61 zenon_H5f zenon_H68 zenon_Hea zenon_He6 zenon_He8 zenon_Hcc zenon_Hc8 zenon_H99 zenon_H9b zenon_Hb1 zenon_Hd3 zenon_He9 zenon_H91 zenon_Hd4 zenon_H50 zenon_Hb zenon_Hd9 zenon_Hee zenon_H6e zenon_Hbb zenon_H58 zenon_H57 zenon_Hff zenon_Hfe zenon_Hfc zenon_H101 zenon_H12d zenon_H3b zenon_H112 zenon_H115 zenon_H22 zenon_H20 zenon_H1f zenon_H2c zenon_H116 zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H17 | zenon_intro zenon_H119 ].
% 33.93/34.11 apply (zenon_L143_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H11b | zenon_intro zenon_H11a ].
% 33.93/34.11 exact (zenon_H118 zenon_H11b).
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H104 | zenon_intro zenon_H11c ].
% 33.93/34.11 apply (zenon_L148_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H10f | zenon_intro zenon_H113 ].
% 33.93/34.11 apply (zenon_L180_); trivial.
% 33.93/34.11 apply (zenon_L172_); trivial.
% 33.93/34.11 (* end of lemma zenon_L181_ *)
% 33.93/34.11 assert (zenon_L182_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H3b zenon_H103 zenon_Hbb zenon_Hba zenon_H58 zenon_H22 zenon_H20 zenon_H1f zenon_H49 zenon_H104 zenon_H2c zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.11 apply (zenon_L145_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.11 apply (zenon_L65_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.11 apply (zenon_L8_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.11 apply (zenon_L147_); trivial.
% 33.93/34.11 apply (zenon_L11_); trivial.
% 33.93/34.11 (* end of lemma zenon_L182_ *)
% 33.93/34.11 assert (zenon_L183_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e1) (e4)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H3b zenon_H113 zenon_H2c zenon_H112 zenon_Hbb zenon_H22 zenon_H20 zenon_H1f zenon_H57 zenon_Hba zenon_H58 zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.11 apply (zenon_L169_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.11 apply (zenon_L65_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.11 apply (zenon_L8_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.11 apply (zenon_L78_); trivial.
% 33.93/34.11 apply (zenon_L11_); trivial.
% 33.93/34.11 (* end of lemma zenon_L183_ *)
% 33.93/34.11 assert (zenon_L184_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (unit) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e1) = (op (e4) (e2))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e4)) = (e2)))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e4) (e2)) = (e0)))))) -> (~((e0) = (e1))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e3)) = (e1))\/((op (e1) (e4)) = (e1)))))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H133 zenon_H101 zenon_Hfc zenon_Hfe zenon_Hff zenon_Hf1 zenon_Hef zenon_He0 zenon_H91 zenon_H8e zenon_Hd9 zenon_Hcc zenon_Hd4 zenon_Hd3 zenon_Hc8 zenon_Ha1 zenon_Hb1 zenon_Haa zenon_Hb9 zenon_Hb6 zenon_Hbb zenon_Hc2 zenon_H9b zenon_H99 zenon_H9f zenon_H68 zenon_H5f zenon_H61 zenon_H58 zenon_H57 zenon_H73 zenon_H6e zenon_H77 zenon_H87 zenon_H83 zenon_H81 zenon_H7b zenon_H88 zenon_H41 zenon_H42 zenon_H43 zenon_H49 zenon_H51 zenon_H50 zenon_Hb zenon_Hc zenon_H18 zenon_H16 zenon_H1f zenon_H20 zenon_H22 zenon_H2d zenon_H2c zenon_H32 zenon_H34 zenon_H3b zenon_He9 zenon_He8 zenon_He6 zenon_Hea zenon_Hee zenon_Hf6 zenon_H118 zenon_H109 zenon_H103 zenon_H12d zenon_H129 zenon_H11f zenon_H10b zenon_H111 zenon_H116 zenon_H115 zenon_H112 zenon_H117.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H12e | zenon_intro zenon_Hba ].
% 33.93/34.11 apply (zenon_L181_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hfb ].
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H17 | zenon_intro zenon_H119 ].
% 33.93/34.11 apply (zenon_L138_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H11b | zenon_intro zenon_H11a ].
% 33.93/34.11 exact (zenon_H118 zenon_H11b).
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H104 | zenon_intro zenon_H11c ].
% 33.93/34.11 apply (zenon_L182_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H10f | zenon_intro zenon_H113 ].
% 33.93/34.11 apply (zenon_L162_); trivial.
% 33.93/34.11 apply (zenon_L183_); trivial.
% 33.93/34.11 apply (zenon_L142_); trivial.
% 33.93/34.11 (* end of lemma zenon_L184_ *)
% 33.93/34.11 assert (zenon_L185_ : (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (unit)) = (e1)) -> ((unit) = (e0)) -> ((op (e1) (e1)) = (e1)) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H18 zenon_H2c zenon_H9 zenon_H11b.
% 33.93/34.11 cut (((op (e1) (unit)) = (e1)) = ((op (e1) (e0)) = (op (e1) (e1)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H18.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H2c.
% 33.93/34.11 cut (((e1) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 33.93/34.11 cut (((op (e1) (unit)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H106].
% 33.93/34.11 congruence.
% 33.93/34.11 elim (classic ((op (e1) (e0)) = (op (e1) (e0)))); [ zenon_intro zenon_H107 | zenon_intro zenon_H108 ].
% 33.93/34.11 cut (((op (e1) (e0)) = (op (e1) (e0))) = ((op (e1) (unit)) = (op (e1) (e0)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H106.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H107.
% 33.93/34.11 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 33.93/34.11 cut (((op (e1) (e0)) = (op (e1) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H102].
% 33.93/34.11 congruence.
% 33.93/34.11 apply (zenon_L144_); trivial.
% 33.93/34.11 apply zenon_H108. apply refl_equal.
% 33.93/34.11 apply zenon_H108. apply refl_equal.
% 33.93/34.11 apply zenon_H134. apply sym_equal. exact zenon_H11b.
% 33.93/34.11 (* end of lemma zenon_L185_ *)
% 33.93/34.11 assert (zenon_L186_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e1) (e1)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H3b zenon_H11b zenon_H2c zenon_H18 zenon_Hbb zenon_H22 zenon_H20 zenon_H1f zenon_H57 zenon_Hba zenon_H58 zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.11 apply (zenon_L185_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.11 apply (zenon_L65_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.11 apply (zenon_L8_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.11 apply (zenon_L78_); trivial.
% 33.93/34.11 apply (zenon_L11_); trivial.
% 33.93/34.11 (* end of lemma zenon_L186_ *)
% 33.93/34.11 assert (zenon_L187_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H3b zenon_Hbb zenon_H61 zenon_H60 zenon_H5f zenon_H22 zenon_H20 zenon_H1f zenon_H6e zenon_Hf2 zenon_H58 zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.11 apply (zenon_L122_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.11 apply (zenon_L24_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.11 apply (zenon_L8_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.11 apply (zenon_L123_); trivial.
% 33.93/34.11 apply (zenon_L11_); trivial.
% 33.93/34.11 (* end of lemma zenon_L187_ *)
% 33.93/34.11 assert (zenon_L188_ : (~((op (e0) (e1)) = (op (e0) (unit)))) -> ((unit) = (e1)) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H135 zenon_H14.
% 33.93/34.11 cut (((e1) = (unit))); [idtac | apply NNPP; zenon_intro zenon_H15].
% 33.93/34.11 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 33.93/34.11 congruence.
% 33.93/34.11 apply zenon_H3f. apply refl_equal.
% 33.93/34.11 apply zenon_H15. apply sym_equal. exact zenon_H14.
% 33.93/34.11 (* end of lemma zenon_L188_ *)
% 33.93/34.11 assert (zenon_L189_ : ((op (e1) (unit)) = (e1)) -> ((unit) = (e3)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H2c zenon_H2a zenon_H11b zenon_H111.
% 33.93/34.11 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 33.93/34.11 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e1)) = (op (e1) (e3)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H111.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H2e.
% 33.93/34.11 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 33.93/34.11 cut (((op (e1) (e3)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H136].
% 33.93/34.11 congruence.
% 33.93/34.11 cut (((op (e1) (unit)) = (e1)) = ((op (e1) (e3)) = (op (e1) (e1)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H136.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H2c.
% 33.93/34.11 cut (((e1) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 33.93/34.11 cut (((op (e1) (unit)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H31].
% 33.93/34.11 congruence.
% 33.93/34.11 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 33.93/34.11 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (unit)) = (op (e1) (e3)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H31.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H2e.
% 33.93/34.11 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 33.93/34.11 cut (((op (e1) (e3)) = (op (e1) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 33.93/34.11 congruence.
% 33.93/34.11 apply (zenon_L9_); trivial.
% 33.93/34.11 apply zenon_H2f. apply refl_equal.
% 33.93/34.11 apply zenon_H2f. apply refl_equal.
% 33.93/34.11 apply zenon_H134. apply sym_equal. exact zenon_H11b.
% 33.93/34.11 apply zenon_H2f. apply refl_equal.
% 33.93/34.11 apply zenon_H2f. apply refl_equal.
% 33.93/34.11 (* end of lemma zenon_L189_ *)
% 33.93/34.11 assert (zenon_L190_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> ((op (unit) (e4)) = (e4)) -> ((op (e4) (e1)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H3b zenon_H18 zenon_H10c zenon_H50 zenon_H137 zenon_H9f zenon_H72 zenon_H5f zenon_H111 zenon_H11b zenon_H2c zenon_Hd3 zenon_Ha5 zenon_He8.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.11 apply (zenon_L185_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.11 cut (((op (e0) (unit)) = (e0)) = ((op (e0) (e1)) = (op (e0) (e2)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H137.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H50.
% 33.93/34.11 cut (((e0) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10d].
% 33.93/34.11 cut (((op (e0) (unit)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H138].
% 33.93/34.11 congruence.
% 33.93/34.11 elim (classic ((op (e0) (e1)) = (op (e0) (e1)))); [ zenon_intro zenon_H139 | zenon_intro zenon_H13a ].
% 33.93/34.11 cut (((op (e0) (e1)) = (op (e0) (e1))) = ((op (e0) (unit)) = (op (e0) (e1)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H138.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H139.
% 33.93/34.11 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H13a].
% 33.93/34.11 cut (((op (e0) (e1)) = (op (e0) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H135].
% 33.93/34.11 congruence.
% 33.93/34.11 apply (zenon_L188_); trivial.
% 33.93/34.11 apply zenon_H13a. apply refl_equal.
% 33.93/34.11 apply zenon_H13a. apply refl_equal.
% 33.93/34.11 apply zenon_H10d. apply sym_equal. exact zenon_H10c.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.11 apply (zenon_L50_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.11 apply (zenon_L189_); trivial.
% 33.93/34.11 apply (zenon_L127_); trivial.
% 33.93/34.11 (* end of lemma zenon_L190_ *)
% 33.93/34.11 assert (zenon_L191_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e0) (e3)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> ((op (unit) (e4)) = (e4)) -> ((op (e4) (e2)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H3b zenon_Hd zenon_Hc zenon_Hb zenon_H32 zenon_H9f zenon_H72 zenon_H5f zenon_H91 zenon_H99 zenon_Hd3 zenon_Hc9 zenon_He9.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.11 apply (zenon_L3_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.11 apply (zenon_L71_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.11 apply (zenon_L50_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.11 apply (zenon_L72_); trivial.
% 33.93/34.11 apply (zenon_L108_); trivial.
% 33.93/34.11 (* end of lemma zenon_L191_ *)
% 33.93/34.11 assert (zenon_L192_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> ((op (unit) (e4)) = (e4)) -> ((op (e4) (e3)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H3b zenon_Hcc zenon_Hb1 zenon_H99 zenon_H91 zenon_H111 zenon_H11b zenon_H2c zenon_Hd3 zenon_Hcd zenon_Hd4.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.11 apply (zenon_L74_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.11 apply (zenon_L75_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.11 apply (zenon_L76_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.11 apply (zenon_L189_); trivial.
% 33.93/34.11 apply (zenon_L80_); trivial.
% 33.93/34.11 (* end of lemma zenon_L192_ *)
% 33.93/34.11 assert (zenon_L193_ : (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> ((op (unit) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (unit)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (e3) (unit)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e1) (unit)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e4))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_Hd9 zenon_H34 zenon_H16 zenon_H20 zenon_H73 zenon_H9b zenon_H61 zenon_He8 zenon_H137 zenon_H50 zenon_H10c zenon_H18 zenon_He9 zenon_H5f zenon_H72 zenon_H9f zenon_H32 zenon_Hb zenon_Hc zenon_Hd zenon_Hd4 zenon_Hd3 zenon_H2c zenon_H11b zenon_H111 zenon_H91 zenon_H99 zenon_Hb1 zenon_Hcc zenon_H3b zenon_Hda.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H9a | zenon_intro zenon_Hdb ].
% 33.93/34.11 apply (zenon_L51_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hdc ].
% 33.93/34.11 apply (zenon_L190_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ].
% 33.93/34.11 apply (zenon_L191_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ].
% 33.93/34.11 apply (zenon_L192_); trivial.
% 33.93/34.11 exact (zenon_Hda zenon_Hde).
% 33.93/34.11 (* end of lemma zenon_L193_ *)
% 33.93/34.11 assert (zenon_L194_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e3)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H3b zenon_H18 zenon_H4a zenon_Hc zenon_H49 zenon_H22 zenon_H20 zenon_H1f zenon_H111 zenon_H11b zenon_H2c zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.11 apply (zenon_L185_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.11 apply (zenon_L17_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.11 apply (zenon_L8_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.11 apply (zenon_L189_); trivial.
% 33.93/34.11 apply (zenon_L11_); trivial.
% 33.93/34.11 (* end of lemma zenon_L194_ *)
% 33.93/34.11 assert (zenon_L195_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e0) (e4)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e4) (e2)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e4) (e3)) = (e2)) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H3b zenon_Ha2 zenon_Ha1 zenon_H32 zenon_H22 zenon_H20 zenon_H1f zenon_Hc9 zenon_H99 zenon_H91 zenon_Hc zenon_H92.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.11 apply (zenon_L52_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.11 apply (zenon_L71_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.11 apply (zenon_L8_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.11 apply (zenon_L72_); trivial.
% 33.93/34.11 apply (zenon_L44_); trivial.
% 33.93/34.11 (* end of lemma zenon_L195_ *)
% 33.93/34.11 assert (zenon_L196_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e4)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H3b zenon_H18 zenon_Hab zenon_Hc zenon_Haa zenon_H22 zenon_H20 zenon_H1f zenon_H111 zenon_H11b zenon_H2c zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.11 apply (zenon_L185_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.11 apply (zenon_L56_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.11 apply (zenon_L8_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.11 apply (zenon_L189_); trivial.
% 33.93/34.11 apply (zenon_L11_); trivial.
% 33.93/34.11 (* end of lemma zenon_L196_ *)
% 33.93/34.11 assert (zenon_L197_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> ((op (e3) (e4)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e4) (e2)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H3b zenon_Hc8 zenon_H99 zenon_H32 zenon_H9f zenon_H72 zenon_H5f zenon_Hbf zenon_Hc zenon_H83 zenon_Hd3 zenon_Hc9 zenon_He9.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.11 apply (zenon_L70_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.11 apply (zenon_L71_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.11 apply (zenon_L50_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.11 apply (zenon_L67_); trivial.
% 33.93/34.11 apply (zenon_L108_); trivial.
% 33.93/34.11 (* end of lemma zenon_L197_ *)
% 33.93/34.11 assert (zenon_L198_ : (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (unit) (e2)) = (e2)) -> ((unit) = (e4)) -> ((op (e4) (e4)) = (e2)) -> False).
% 33.93/34.11 do 0 intro. intros zenon_He9 zenon_Hc zenon_H33 zenon_Hc7.
% 33.93/34.11 cut (((op (unit) (e2)) = (e2)) = ((op (e4) (e2)) = (op (e4) (e4)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_He9.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_Hc.
% 33.93/34.11 cut (((e2) = (op (e4) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H13b].
% 33.93/34.11 cut (((op (unit) (e2)) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H94].
% 33.93/34.11 congruence.
% 33.93/34.11 elim (classic ((op (e4) (e2)) = (op (e4) (e2)))); [ zenon_intro zenon_H95 | zenon_intro zenon_H96 ].
% 33.93/34.11 cut (((op (e4) (e2)) = (op (e4) (e2))) = ((op (unit) (e2)) = (op (e4) (e2)))).
% 33.93/34.11 intro zenon_D_pnotp.
% 33.93/34.11 apply zenon_H94.
% 33.93/34.11 rewrite <- zenon_D_pnotp.
% 33.93/34.11 exact zenon_H95.
% 33.93/34.11 cut (((op (e4) (e2)) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 33.93/34.11 cut (((op (e4) (e2)) = (op (unit) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 33.93/34.11 congruence.
% 33.93/34.11 apply (zenon_L43_); trivial.
% 33.93/34.11 apply zenon_H96. apply refl_equal.
% 33.93/34.11 apply zenon_H96. apply refl_equal.
% 33.93/34.11 apply zenon_H13b. apply sym_equal. exact zenon_Hc7.
% 33.93/34.11 (* end of lemma zenon_L198_ *)
% 33.93/34.11 assert (zenon_L199_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (e2)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e4) (e4)) = (e2)) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H3b zenon_Hc8 zenon_H32 zenon_H22 zenon_H20 zenon_H1f zenon_H91 zenon_Hc9 zenon_H99 zenon_He9 zenon_Hc zenon_Hc7.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.11 apply (zenon_L70_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.11 apply (zenon_L71_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.11 apply (zenon_L8_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.11 apply (zenon_L72_); trivial.
% 33.93/34.11 apply (zenon_L198_); trivial.
% 33.93/34.11 (* end of lemma zenon_L199_ *)
% 33.93/34.11 assert (zenon_L200_ : (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> ((op (e4) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> ((op (e1) (unit)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (e2)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (unit) (e2)) = (e2)) -> False).
% 33.93/34.11 do 0 intro. intros zenon_Hc2 zenon_H92 zenon_Ha1 zenon_H2c zenon_H11b zenon_H111 zenon_Haa zenon_H18 zenon_H34 zenon_H16 zenon_H58 zenon_Hb9 zenon_Hb6 zenon_Hd3 zenon_H83 zenon_H5f zenon_H72 zenon_H9f zenon_H3b zenon_Hc8 zenon_H32 zenon_H22 zenon_H20 zenon_H1f zenon_H91 zenon_Hc9 zenon_H99 zenon_He9 zenon_Hc.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc4 ].
% 33.93/34.11 apply (zenon_L195_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hab | zenon_intro zenon_Hc5 ].
% 33.93/34.11 apply (zenon_L196_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc6 ].
% 33.93/34.11 apply (zenon_L126_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hc7 ].
% 33.93/34.11 apply (zenon_L197_); trivial.
% 33.93/34.11 apply (zenon_L199_); trivial.
% 33.93/34.11 (* end of lemma zenon_L200_ *)
% 33.93/34.11 assert (zenon_L201_ : (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (unit)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> ((op (e2) (unit)) = (e2)) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> ((op (e4) (e3)) = (e2)) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e1) (unit)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e4))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_Hd9 zenon_Hf2 zenon_H6e zenon_H9b zenon_Hbb zenon_He8 zenon_H137 zenon_H50 zenon_H10c zenon_Hc zenon_He9 zenon_H1f zenon_H20 zenon_H22 zenon_H32 zenon_Hc8 zenon_H9f zenon_H72 zenon_H5f zenon_H83 zenon_Hb6 zenon_Hb9 zenon_H58 zenon_H16 zenon_H34 zenon_H18 zenon_Haa zenon_Ha1 zenon_H92 zenon_Hc2 zenon_Hd4 zenon_Hd3 zenon_H2c zenon_H11b zenon_H111 zenon_H91 zenon_H99 zenon_Hb1 zenon_Hcc zenon_H3b zenon_Hda.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H9a | zenon_intro zenon_Hdb ].
% 33.93/34.11 apply (zenon_L124_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hdc ].
% 33.93/34.11 apply (zenon_L190_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ].
% 33.93/34.11 apply (zenon_L200_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ].
% 33.93/34.11 apply (zenon_L192_); trivial.
% 33.93/34.11 exact (zenon_Hda zenon_Hde).
% 33.93/34.11 (* end of lemma zenon_L201_ *)
% 33.93/34.11 assert (zenon_L202_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> ((op (unit) (e3)) = (e3)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H3b zenon_H8e zenon_H9f zenon_H72 zenon_H5f zenon_H77 zenon_H76 zenon_H20 zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.11 apply (zenon_L83_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.11 apply (zenon_L89_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.11 apply (zenon_L50_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.11 apply (zenon_L32_); trivial.
% 33.93/34.11 apply (zenon_L11_); trivial.
% 33.93/34.11 (* end of lemma zenon_L202_ *)
% 33.93/34.11 assert (zenon_L203_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e2) (e1)) = (e2)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_Hf1 zenon_H8e zenon_He0 zenon_Hbb zenon_Hc2 zenon_Hb6 zenon_Hb9 zenon_Haa zenon_Ha1 zenon_H88 zenon_H7b zenon_H81 zenon_H83 zenon_H87 zenon_H77 zenon_H6e zenon_H57 zenon_H58 zenon_H68 zenon_Hea zenon_He6 zenon_Hc8 zenon_Hf2 zenon_Hee zenon_H49 zenon_H1f zenon_H22 zenon_H3b zenon_H34 zenon_H16 zenon_H32 zenon_H20 zenon_H73 zenon_H9f zenon_H99 zenon_H9b zenon_H72 zenon_H5f zenon_H61 zenon_Hd3 zenon_He8 zenon_H111 zenon_H10c zenon_H50 zenon_H137 zenon_H11b zenon_H2c zenon_H18 zenon_He9 zenon_H91 zenon_Hc zenon_Hb zenon_Hd4 zenon_Hb1 zenon_Hcc zenon_Hd9.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He1 | zenon_intro zenon_H76 ].
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hda | zenon_intro zenon_Hde ].
% 33.93/34.11 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.93/34.11 apply (zenon_L193_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.93/34.11 apply (zenon_L194_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.93/34.11 apply (zenon_L155_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.93/34.11 exact (zenon_He1 zenon_He5).
% 33.93/34.11 apply (zenon_L201_); trivial.
% 33.93/34.11 apply (zenon_L99_); trivial.
% 33.93/34.11 apply (zenon_L202_); trivial.
% 33.93/34.11 (* end of lemma zenon_L203_ *)
% 33.93/34.11 assert (zenon_L204_ : (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e1) (unit)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e4))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_Hd9 zenon_Hc8 zenon_H9b zenon_H34 zenon_H16 zenon_H32 zenon_He9 zenon_H20 zenon_H76 zenon_H77 zenon_H1f zenon_H22 zenon_H9f zenon_H5f zenon_H8e zenon_Hd4 zenon_Hd3 zenon_H2c zenon_H11b zenon_H111 zenon_H91 zenon_H99 zenon_Hb1 zenon_Hcc zenon_H3b zenon_Hda.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H9a | zenon_intro zenon_Hdb ].
% 33.93/34.11 apply (zenon_L85_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hdc ].
% 33.93/34.11 apply (zenon_L115_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ].
% 33.93/34.11 apply (zenon_L120_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ].
% 33.93/34.11 apply (zenon_L192_); trivial.
% 33.93/34.11 exact (zenon_Hda zenon_Hde).
% 33.93/34.11 (* end of lemma zenon_L204_ *)
% 33.93/34.11 assert (zenon_L205_ : ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_Hea zenon_He6 zenon_He8 zenon_H3b zenon_H34 zenon_H16 zenon_H32 zenon_H20 zenon_H77 zenon_Hc8 zenon_H99 zenon_H9b zenon_H76 zenon_H5f zenon_H8e zenon_H9f zenon_Hd3 zenon_He9 zenon_H22 zenon_H1f zenon_Hd4 zenon_H11b zenon_H2c zenon_H111 zenon_H91 zenon_Hb1 zenon_Hcc zenon_Hd9.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hda | zenon_intro zenon_Hde ].
% 33.93/34.11 apply (zenon_L204_); trivial.
% 33.93/34.11 apply (zenon_L99_); trivial.
% 33.93/34.11 (* end of lemma zenon_L205_ *)
% 33.93/34.11 assert (zenon_L206_ : (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (unit)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e3) (e3)) = (e3))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_Hb zenon_Hc zenon_H18 zenon_H137 zenon_H50 zenon_H10c zenon_H61 zenon_H73 zenon_H49 zenon_Hee zenon_Hf2 zenon_H68 zenon_H58 zenon_H57 zenon_H6e zenon_H88 zenon_Ha1 zenon_Haa zenon_Hb9 zenon_Hb6 zenon_Hc2 zenon_Hbb zenon_He0 zenon_Hf1 zenon_Hd9 zenon_Hcc zenon_Hb1 zenon_H91 zenon_H111 zenon_H2c zenon_H11b zenon_Hd4 zenon_H1f zenon_H22 zenon_He9 zenon_Hd3 zenon_H9f zenon_H8e zenon_H9b zenon_H99 zenon_Hc8 zenon_H77 zenon_He8 zenon_He6 zenon_Hea zenon_H89 zenon_H3b zenon_H7b zenon_H81 zenon_H5f zenon_H83 zenon_H20 zenon_H87 zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H60 | zenon_intro zenon_H8a ].
% 33.93/34.11 apply (zenon_L187_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ].
% 33.93/34.11 apply (zenon_L203_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H8c ].
% 33.93/34.11 apply (zenon_L205_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H8d | zenon_intro zenon_H7c ].
% 33.93/34.11 exact (zenon_H89 zenon_H8d).
% 33.93/34.11 apply (zenon_L40_); trivial.
% 33.93/34.11 (* end of lemma zenon_L206_ *)
% 33.93/34.11 assert (zenon_L207_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_H3b zenon_H34 zenon_H16 zenon_H32 zenon_H6e zenon_H22 zenon_H20 zenon_H1f zenon_H5f zenon_H61 zenon_Hf2 zenon_H58 zenon_Hbb zenon_Hf1 zenon_H8e zenon_He0 zenon_Hc2 zenon_Hb6 zenon_Hb9 zenon_Haa zenon_Ha1 zenon_H88 zenon_H7b zenon_H81 zenon_H83 zenon_H87 zenon_H77 zenon_H57 zenon_H68 zenon_Hea zenon_He6 zenon_Hc8 zenon_Hee zenon_H49 zenon_H73 zenon_H9f zenon_H99 zenon_H9b zenon_Hd3 zenon_He8 zenon_H111 zenon_H10c zenon_H50 zenon_H137 zenon_H11b zenon_H2c zenon_H18 zenon_He9 zenon_H91 zenon_Hc zenon_Hb zenon_Hd4 zenon_Hb1 zenon_Hcc zenon_Hd9.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H89 | zenon_intro zenon_H8d ].
% 33.93/34.11 apply (zenon_L206_); trivial.
% 33.93/34.11 apply (zenon_L133_); trivial.
% 33.93/34.11 (* end of lemma zenon_L207_ *)
% 33.93/34.11 assert (zenon_L208_ : ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> False).
% 33.93/34.11 do 0 intro. intros zenon_Hea zenon_He6 zenon_He8 zenon_H3b zenon_H34 zenon_H16 zenon_H32 zenon_Hcc zenon_Hc8 zenon_H99 zenon_H9b zenon_H8d zenon_H5f zenon_H68 zenon_Hb1 zenon_H73 zenon_Hd3 zenon_He9 zenon_H91 zenon_H77 zenon_Hd4 zenon_H11b zenon_H2c zenon_H111 zenon_Hd9.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hda | zenon_intro zenon_Hde ].
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H9a | zenon_intro zenon_Hdb ].
% 33.93/34.11 apply (zenon_L104_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hdc ].
% 33.93/34.11 apply (zenon_L106_); trivial.
% 33.93/34.11 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ].
% 33.93/34.12 apply (zenon_L109_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ].
% 33.93/34.12 apply (zenon_L192_); trivial.
% 33.93/34.12 exact (zenon_Hda zenon_Hde).
% 33.93/34.12 apply (zenon_L99_); trivial.
% 33.93/34.12 (* end of lemma zenon_L208_ *)
% 33.93/34.12 assert (zenon_L209_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> False).
% 33.93/34.12 do 0 intro. intros zenon_Hee zenon_Hd9 zenon_H111 zenon_H2c zenon_H11b zenon_Hd4 zenon_H91 zenon_He9 zenon_Hd3 zenon_Hb1 zenon_H9b zenon_H99 zenon_Hc8 zenon_Hcc zenon_He8 zenon_He6 zenon_Hea zenon_H3b zenon_H34 zenon_H16 zenon_H32 zenon_H68 zenon_H22 zenon_H20 zenon_H1f zenon_H5f zenon_H61 zenon_H59 zenon_H58 zenon_H57 zenon_H73 zenon_H6e zenon_H77 zenon_H87 zenon_H83 zenon_H81 zenon_H7b zenon_H88.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H89 | zenon_intro zenon_H8d ].
% 33.93/34.12 apply (zenon_L41_); trivial.
% 33.93/34.12 apply (zenon_L208_); trivial.
% 33.93/34.12 (* end of lemma zenon_L209_ *)
% 33.93/34.12 assert (zenon_L210_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e4)) = (e2)))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (unit)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.12 do 0 intro. intros zenon_Hf6 zenon_Hb zenon_Hc zenon_H18 zenon_H137 zenon_H50 zenon_H10c zenon_H9f zenon_H49 zenon_Ha1 zenon_Haa zenon_Hc2 zenon_He0 zenon_H8e zenon_Hf1 zenon_Hbb zenon_Hf7 zenon_H88 zenon_H7b zenon_H81 zenon_H83 zenon_H87 zenon_H77 zenon_H6e zenon_H73 zenon_H57 zenon_H61 zenon_H5f zenon_H68 zenon_Hea zenon_He6 zenon_He8 zenon_Hcc zenon_Hc8 zenon_H99 zenon_H9b zenon_Hb1 zenon_Hd3 zenon_He9 zenon_H91 zenon_Hd4 zenon_H11b zenon_H2c zenon_H111 zenon_Hd9 zenon_Hee zenon_H3b zenon_Hb6 zenon_Hb9 zenon_H22 zenon_H20 zenon_H58 zenon_H1f zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hba | zenon_intro zenon_Hf8 ].
% 33.93/34.12 apply (zenon_L186_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf9 ].
% 33.93/34.12 apply (zenon_L207_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfa ].
% 33.93/34.12 exact (zenon_Hf7 zenon_Hfb).
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H59 | zenon_intro zenon_Hb7 ].
% 33.93/34.12 apply (zenon_L209_); trivial.
% 33.93/34.12 apply (zenon_L126_); trivial.
% 33.93/34.12 (* end of lemma zenon_L210_ *)
% 33.93/34.12 assert (zenon_L211_ : ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e0))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e4)) = (e2))) -> (~((op (e4) (e4)) = (e3))) -> (((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4)))))) -> False).
% 33.93/34.12 do 0 intro. intros zenon_Hea zenon_He6 zenon_H99 zenon_He8 zenon_Hd4 zenon_H32 zenon_H16 zenon_H3b zenon_H13c zenon_He9 zenon_H34 zenon_Hc3 zenon_H13d zenon_H13e.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hda | zenon_intro zenon_Hde ].
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H140 | zenon_intro zenon_H13f ].
% 33.93/34.12 exact (zenon_H13c zenon_H140).
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ].
% 33.93/34.12 elim (classic ((op (e4) (e4)) = (op (e4) (e4)))); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd6 ].
% 33.93/34.12 cut (((op (e4) (e4)) = (op (e4) (e4))) = ((op (e4) (e2)) = (op (e4) (e4)))).
% 33.93/34.12 intro zenon_D_pnotp.
% 33.93/34.12 apply zenon_He9.
% 33.93/34.12 rewrite <- zenon_D_pnotp.
% 33.93/34.12 exact zenon_Hd5.
% 33.93/34.12 cut (((op (e4) (e4)) = (op (e4) (e4)))); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 33.93/34.12 cut (((op (e4) (e4)) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hed].
% 33.93/34.12 congruence.
% 33.93/34.12 cut (((e1) = (op (e4) (e2))) = ((op (e4) (e4)) = (op (e4) (e2)))).
% 33.93/34.12 intro zenon_D_pnotp.
% 33.93/34.12 apply zenon_Hed.
% 33.93/34.12 rewrite <- zenon_D_pnotp.
% 33.93/34.12 exact zenon_H34.
% 33.93/34.12 cut (((op (e4) (e2)) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 33.93/34.12 cut (((e1) = (op (e4) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H143].
% 33.93/34.12 congruence.
% 33.93/34.12 elim (classic ((op (e4) (e4)) = (op (e4) (e4)))); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd6 ].
% 33.93/34.12 cut (((op (e4) (e4)) = (op (e4) (e4))) = ((e1) = (op (e4) (e4)))).
% 33.93/34.12 intro zenon_D_pnotp.
% 33.93/34.12 apply zenon_H143.
% 33.93/34.12 rewrite <- zenon_D_pnotp.
% 33.93/34.12 exact zenon_Hd5.
% 33.93/34.12 cut (((op (e4) (e4)) = (op (e4) (e4)))); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 33.93/34.12 cut (((op (e4) (e4)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H144].
% 33.93/34.12 congruence.
% 33.93/34.12 exact (zenon_H144 zenon_H142).
% 33.93/34.12 apply zenon_Hd6. apply refl_equal.
% 33.93/34.12 apply zenon_Hd6. apply refl_equal.
% 33.93/34.12 apply zenon_H96. apply refl_equal.
% 33.93/34.12 apply zenon_Hd6. apply refl_equal.
% 33.93/34.12 apply zenon_Hd6. apply refl_equal.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H145 ].
% 33.93/34.12 exact (zenon_Hc3 zenon_Hc7).
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H146 | zenon_intro zenon_Hde ].
% 33.93/34.12 exact (zenon_H13d zenon_H146).
% 33.93/34.12 exact (zenon_Hda zenon_Hde).
% 33.93/34.12 apply (zenon_L99_); trivial.
% 33.93/34.12 (* end of lemma zenon_L211_ *)
% 33.93/34.12 assert (zenon_L212_ : ((~((op (e4) (e4)) = (e3)))\/((op (e4) (e3)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> ((op (unit) (e4)) = (e4)) -> (((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e4)) = (e2))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e4)) = (e0))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> False).
% 33.93/34.12 do 0 intro. intros zenon_H147 zenon_Hcc zenon_Hb1 zenon_H91 zenon_H6e zenon_H58 zenon_Hf2 zenon_Hd3 zenon_H13e zenon_Hc3 zenon_H34 zenon_He9 zenon_H13c zenon_H3b zenon_H16 zenon_H32 zenon_Hd4 zenon_He8 zenon_H99 zenon_He6 zenon_Hea.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13d | zenon_intro zenon_Hcd ].
% 33.93/34.12 apply (zenon_L211_); trivial.
% 33.93/34.12 apply (zenon_L130_); trivial.
% 33.93/34.12 (* end of lemma zenon_L212_ *)
% 33.93/34.12 assert (zenon_L213_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e4) (e2)) = (e4)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e0) (e3)) = (e2)) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e3) (e3)) = (e3))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.12 do 0 intro. intros zenon_H88 zenon_H58 zenon_Hf2 zenon_H6e zenon_H61 zenon_Hbb zenon_Hc9 zenon_Hb zenon_Hc zenon_Hd zenon_Hd9 zenon_Hcc zenon_Hb1 zenon_H91 zenon_H111 zenon_H2c zenon_H11b zenon_Hd4 zenon_H1f zenon_H22 zenon_He9 zenon_Hd3 zenon_H9f zenon_H8e zenon_H9b zenon_H99 zenon_Hc8 zenon_H77 zenon_He8 zenon_He6 zenon_Hea zenon_H89 zenon_H3b zenon_H7b zenon_H81 zenon_H5f zenon_H83 zenon_H20 zenon_H87 zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H60 | zenon_intro zenon_H8a ].
% 33.93/34.12 apply (zenon_L187_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ].
% 33.93/34.12 apply (zenon_L191_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H8c ].
% 33.93/34.12 apply (zenon_L205_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H8d | zenon_intro zenon_H7c ].
% 33.93/34.12 exact (zenon_H89 zenon_H8d).
% 33.93/34.12 apply (zenon_L40_); trivial.
% 33.93/34.12 (* end of lemma zenon_L213_ *)
% 33.93/34.12 assert (zenon_L214_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e4) (e4)) = (e0)))\/((op (e4) (e0)) = (e4))) -> ((~((op (e4) (e4)) = (e3)))\/((op (e4) (e3)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> ((op (unit) (e4)) = (e4)) -> (((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (unit) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 33.93/34.12 do 0 intro. intros zenon_Hf1 zenon_H148 zenon_H147 zenon_Hcc zenon_Hb1 zenon_H91 zenon_H6e zenon_H58 zenon_Hf2 zenon_Hd3 zenon_H13e zenon_H34 zenon_He9 zenon_H3b zenon_H16 zenon_H32 zenon_Hd4 zenon_He8 zenon_H99 zenon_He6 zenon_Hea zenon_He0 zenon_H68 zenon_H57 zenon_H73 zenon_H41 zenon_H42 zenon_H43 zenon_H49 zenon_H51 zenon_H50 zenon_H22 zenon_H20 zenon_H1f zenon_H5f zenon_H61 zenon_Hbb zenon_H9f zenon_Hc zenon_Hb zenon_H77 zenon_Hc8 zenon_H9b zenon_H8e zenon_H11b zenon_H2c zenon_H111 zenon_Hd9 zenon_H87 zenon_H83 zenon_H81 zenon_H7b zenon_H88 zenon_Hef zenon_Hee.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He1 | zenon_intro zenon_H76 ].
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H89 | zenon_intro zenon_H8d ].
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13c | zenon_intro zenon_H9a ].
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc9 ].
% 33.93/34.12 apply (zenon_L212_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.93/34.12 apply (zenon_L213_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.93/34.12 apply (zenon_L20_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.93/34.12 apply (zenon_L41_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.93/34.12 exact (zenon_He1 zenon_He5).
% 33.93/34.12 apply (zenon_L73_); trivial.
% 33.93/34.12 apply (zenon_L124_); trivial.
% 33.93/34.12 apply (zenon_L208_); trivial.
% 33.93/34.12 apply (zenon_L205_); trivial.
% 33.93/34.12 (* end of lemma zenon_L214_ *)
% 33.93/34.12 assert (zenon_L215_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> ((op (e2) (e4)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e3) (e2)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.12 do 0 intro. intros zenon_H3b zenon_Hb6 zenon_Hb7 zenon_H58 zenon_Hb9 zenon_H22 zenon_H20 zenon_H1f zenon_H125 zenon_H42 zenon_H8e zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.12 apply (zenon_L62_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.12 apply (zenon_L63_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.12 apply (zenon_L8_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.12 apply (zenon_L177_); trivial.
% 33.93/34.12 apply (zenon_L11_); trivial.
% 33.93/34.12 (* end of lemma zenon_L215_ *)
% 33.93/34.12 assert (zenon_L216_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4)))))) -> ((~((op (e4) (e4)) = (e3)))\/((op (e4) (e3)) = (e4))) -> ((~((op (e4) (e4)) = (e0)))\/((op (e4) (e0)) = (e4))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e3)) = (e1))\/((op (e1) (e4)) = (e1)))))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e4) (e2)) = (e0)))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e4)) = (e2)))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e1)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> False).
% 33.93/34.12 do 0 intro. intros zenon_H149 zenon_H137 zenon_H13e zenon_H147 zenon_H148 zenon_H117 zenon_H112 zenon_H115 zenon_H116 zenon_H111 zenon_H10b zenon_H11f zenon_H129 zenon_H12d zenon_H103 zenon_H109 zenon_Hf6 zenon_Hee zenon_Hea zenon_He6 zenon_He8 zenon_He9 zenon_H3b zenon_H34 zenon_H32 zenon_H2c zenon_H2d zenon_H22 zenon_H20 zenon_H1f zenon_H16 zenon_H18 zenon_Hc zenon_Hb zenon_H50 zenon_H51 zenon_H49 zenon_H43 zenon_H42 zenon_H41 zenon_H88 zenon_H7b zenon_H81 zenon_H83 zenon_H87 zenon_H77 zenon_H6e zenon_H73 zenon_H57 zenon_H58 zenon_H61 zenon_H5f zenon_H68 zenon_H9f zenon_H99 zenon_H9b zenon_Hc2 zenon_Hbb zenon_Hb6 zenon_Hb9 zenon_Haa zenon_Hb1 zenon_Ha1 zenon_Hc8 zenon_Hd3 zenon_Hd4 zenon_Hcc zenon_Hd9 zenon_H8e zenon_H91 zenon_He0 zenon_Hef zenon_Hf1 zenon_Hff zenon_Hfe zenon_Hfc zenon_H101 zenon_H133.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H118 | zenon_intro zenon_H11b ].
% 33.93/34.12 apply (zenon_L184_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H12e | zenon_intro zenon_Hba ].
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hfb ].
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H10c | zenon_intro zenon_H12f ].
% 33.93/34.12 apply (zenon_L210_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H120 | zenon_intro zenon_H130 ].
% 33.93/34.12 apply (zenon_L175_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H132 | zenon_intro zenon_H131 ].
% 33.93/34.12 exact (zenon_H12e zenon_H132).
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H125 | zenon_intro zenon_H128 ].
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hba | zenon_intro zenon_Hf8 ].
% 33.93/34.12 apply (zenon_L186_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf9 ].
% 33.93/34.12 apply (zenon_L214_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfa ].
% 33.93/34.12 exact (zenon_Hf7 zenon_Hfb).
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H59 | zenon_intro zenon_Hb7 ].
% 33.93/34.12 apply (zenon_L209_); trivial.
% 33.93/34.12 apply (zenon_L215_); trivial.
% 33.93/34.12 apply (zenon_L179_); trivial.
% 33.93/34.12 apply (zenon_L142_); trivial.
% 33.93/34.12 apply (zenon_L186_); trivial.
% 33.93/34.12 (* end of lemma zenon_L216_ *)
% 33.93/34.12 assert (zenon_L217_ : ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> ((op (e2) (e1)) = (e0)) -> ((e1) = (op (e4) (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> False).
% 33.93/34.12 do 0 intro. intros zenon_H11f zenon_H14a zenon_H34 zenon_H14b.
% 33.93/34.12 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H70 | zenon_intro zenon_H71 ].
% 33.93/34.12 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e1) (e1)) = (op (e2) (e1)))).
% 33.93/34.12 intro zenon_D_pnotp.
% 33.93/34.12 apply zenon_H14b.
% 33.93/34.12 rewrite <- zenon_D_pnotp.
% 33.93/34.12 exact zenon_H70.
% 33.93/34.12 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 33.93/34.12 cut (((op (e2) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 33.93/34.12 congruence.
% 33.93/34.12 cut (((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) = ((op (e2) (e1)) = (op (e1) (e1)))).
% 33.93/34.12 intro zenon_D_pnotp.
% 33.93/34.12 apply zenon_H14c.
% 33.93/34.12 rewrite <- zenon_D_pnotp.
% 33.93/34.12 exact zenon_H11f.
% 33.93/34.12 cut (((op (op (e4) (e2)) (op (e4) (e2))) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H11d].
% 33.93/34.12 cut (((e0) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 33.93/34.12 congruence.
% 33.93/34.12 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H70 | zenon_intro zenon_H71 ].
% 33.93/34.12 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((e0) = (op (e2) (e1)))).
% 33.93/34.12 intro zenon_D_pnotp.
% 33.93/34.12 apply zenon_H14d.
% 33.93/34.12 rewrite <- zenon_D_pnotp.
% 33.93/34.12 exact zenon_H70.
% 33.93/34.12 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 33.93/34.12 cut (((op (e2) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H14e].
% 33.93/34.12 congruence.
% 33.93/34.12 exact (zenon_H14e zenon_H14a).
% 33.93/34.12 apply zenon_H71. apply refl_equal.
% 33.93/34.12 apply zenon_H71. apply refl_equal.
% 33.93/34.12 apply (zenon_L174_); trivial.
% 33.93/34.12 apply zenon_H71. apply refl_equal.
% 33.93/34.12 apply zenon_H71. apply refl_equal.
% 33.93/34.12 (* end of lemma zenon_L217_ *)
% 33.93/34.12 assert (zenon_L218_ : ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> ((op (e3) (e1)) = (e0)) -> ((e1) = (op (e4) (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 33.93/34.12 do 0 intro. intros zenon_H11f zenon_H14f zenon_H34 zenon_H150.
% 33.93/34.12 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H62 | zenon_intro zenon_H63 ].
% 33.93/34.12 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e1) (e1)) = (op (e3) (e1)))).
% 33.93/34.12 intro zenon_D_pnotp.
% 33.93/34.12 apply zenon_H150.
% 33.93/34.12 rewrite <- zenon_D_pnotp.
% 33.93/34.12 exact zenon_H62.
% 33.93/34.12 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H63].
% 33.93/34.12 cut (((op (e3) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H151].
% 33.93/34.12 congruence.
% 33.93/34.12 cut (((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) = ((op (e3) (e1)) = (op (e1) (e1)))).
% 33.93/34.12 intro zenon_D_pnotp.
% 33.93/34.12 apply zenon_H151.
% 33.93/34.12 rewrite <- zenon_D_pnotp.
% 33.93/34.12 exact zenon_H11f.
% 33.93/34.12 cut (((op (op (e4) (e2)) (op (e4) (e2))) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H11d].
% 33.93/34.12 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H152].
% 33.93/34.12 congruence.
% 33.93/34.12 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H62 | zenon_intro zenon_H63 ].
% 33.93/34.12 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((e0) = (op (e3) (e1)))).
% 33.93/34.12 intro zenon_D_pnotp.
% 33.93/34.12 apply zenon_H152.
% 33.93/34.12 rewrite <- zenon_D_pnotp.
% 33.93/34.12 exact zenon_H62.
% 33.93/34.12 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H63].
% 33.93/34.12 cut (((op (e3) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H153].
% 33.93/34.12 congruence.
% 33.93/34.12 exact (zenon_H153 zenon_H14f).
% 33.93/34.12 apply zenon_H63. apply refl_equal.
% 33.93/34.12 apply zenon_H63. apply refl_equal.
% 33.93/34.12 apply (zenon_L174_); trivial.
% 33.93/34.12 apply zenon_H63. apply refl_equal.
% 33.93/34.12 apply zenon_H63. apply refl_equal.
% 33.93/34.12 (* end of lemma zenon_L218_ *)
% 33.93/34.12 assert (zenon_L219_ : ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> ((op (e4) (e1)) = (e0)) -> ((e1) = (op (e4) (e2))) -> (~((op (e1) (e1)) = (op (e4) (e1)))) -> False).
% 33.93/34.12 do 0 intro. intros zenon_H11f zenon_H154 zenon_H34 zenon_H155.
% 33.93/34.12 elim (classic ((op (e4) (e1)) = (op (e4) (e1)))); [ zenon_intro zenon_H37 | zenon_intro zenon_H38 ].
% 33.93/34.12 cut (((op (e4) (e1)) = (op (e4) (e1))) = ((op (e1) (e1)) = (op (e4) (e1)))).
% 33.93/34.12 intro zenon_D_pnotp.
% 33.93/34.12 apply zenon_H155.
% 33.93/34.12 rewrite <- zenon_D_pnotp.
% 33.93/34.12 exact zenon_H37.
% 33.93/34.12 cut (((op (e4) (e1)) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 33.93/34.12 cut (((op (e4) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H156].
% 33.93/34.12 congruence.
% 33.93/34.12 cut (((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) = ((op (e4) (e1)) = (op (e1) (e1)))).
% 33.93/34.12 intro zenon_D_pnotp.
% 33.93/34.12 apply zenon_H156.
% 33.93/34.12 rewrite <- zenon_D_pnotp.
% 33.93/34.12 exact zenon_H11f.
% 33.93/34.12 cut (((op (op (e4) (e2)) (op (e4) (e2))) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H11d].
% 33.93/34.12 cut (((e0) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H157].
% 33.93/34.12 congruence.
% 33.93/34.12 elim (classic ((op (e4) (e1)) = (op (e4) (e1)))); [ zenon_intro zenon_H37 | zenon_intro zenon_H38 ].
% 33.93/34.12 cut (((op (e4) (e1)) = (op (e4) (e1))) = ((e0) = (op (e4) (e1)))).
% 33.93/34.12 intro zenon_D_pnotp.
% 33.93/34.12 apply zenon_H157.
% 33.93/34.12 rewrite <- zenon_D_pnotp.
% 33.93/34.12 exact zenon_H37.
% 33.93/34.12 cut (((op (e4) (e1)) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 33.93/34.12 cut (((op (e4) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H158].
% 33.93/34.12 congruence.
% 33.93/34.12 exact (zenon_H158 zenon_H154).
% 33.93/34.12 apply zenon_H38. apply refl_equal.
% 33.93/34.12 apply zenon_H38. apply refl_equal.
% 33.93/34.12 apply (zenon_L174_); trivial.
% 33.93/34.12 apply zenon_H38. apply refl_equal.
% 33.93/34.12 apply zenon_H38. apply refl_equal.
% 33.93/34.12 (* end of lemma zenon_L219_ *)
% 33.93/34.12 assert (zenon_L220_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e3) (e1)) = (e0))\/((op (e4) (e1)) = (e0)))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e4)) = (e2)))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e4) (e2)) = (e0)))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e3)) = (e1))\/((op (e1) (e4)) = (e1)))))) -> ((~((op (e4) (e4)) = (e0)))\/((op (e4) (e0)) = (e4))) -> ((~((op (e4) (e4)) = (e3)))\/((op (e4) (e3)) = (e4))) -> (((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> ((e1) = (op (e4) (e2))) -> (~((op (e1) (e1)) = (op (e4) (e1)))) -> False).
% 33.93/34.12 do 0 intro. intros zenon_H159 zenon_H133 zenon_H101 zenon_Hfc zenon_Hfe zenon_Hff zenon_Hf1 zenon_Hef zenon_He0 zenon_H91 zenon_H8e zenon_Hd9 zenon_Hcc zenon_Hd4 zenon_Hd3 zenon_Hc8 zenon_Ha1 zenon_Hb1 zenon_Haa zenon_Hb9 zenon_Hb6 zenon_Hbb zenon_Hc2 zenon_H9b zenon_H99 zenon_H9f zenon_H68 zenon_H5f zenon_H61 zenon_H58 zenon_H57 zenon_H73 zenon_H6e zenon_H77 zenon_H87 zenon_H83 zenon_H81 zenon_H7b zenon_H88 zenon_H41 zenon_H42 zenon_H49 zenon_H51 zenon_H50 zenon_Hb zenon_Hc zenon_H18 zenon_H16 zenon_H1f zenon_H20 zenon_H22 zenon_H2d zenon_H2c zenon_H32 zenon_H3b zenon_He9 zenon_He8 zenon_He6 zenon_Hea zenon_Hee zenon_Hf6 zenon_H109 zenon_H103 zenon_H12d zenon_H129 zenon_H10b zenon_H111 zenon_H116 zenon_H115 zenon_H112 zenon_H117 zenon_H148 zenon_H147 zenon_H13e zenon_H137 zenon_H149 zenon_H15a zenon_H14b zenon_H150 zenon_H11f zenon_H34 zenon_H155.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H43 | zenon_intro zenon_H15b ].
% 33.93/34.12 apply (zenon_L216_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H15d | zenon_intro zenon_H15c ].
% 33.93/34.12 exact (zenon_H15a zenon_H15d).
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H14a | zenon_intro zenon_H15e ].
% 33.93/34.12 apply (zenon_L217_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 33.93/34.12 apply (zenon_L218_); trivial.
% 33.93/34.12 apply (zenon_L219_); trivial.
% 33.93/34.12 (* end of lemma zenon_L220_ *)
% 33.93/34.12 assert (zenon_L221_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e4)) = (e2)))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e3)) = (e1))\/((op (e1) (e4)) = (e1)))))) -> False).
% 33.93/34.12 do 0 intro. intros zenon_H149 zenon_H137 zenon_Ha1 zenon_Haa zenon_Hc2 zenon_H101 zenon_Hfc zenon_Hfe zenon_Hff zenon_Hf1 zenon_H8e zenon_H9f zenon_H3b zenon_H34 zenon_H32 zenon_H2c zenon_H2d zenon_H22 zenon_H20 zenon_H1f zenon_H16 zenon_H18 zenon_Hc zenon_Hb zenon_H50 zenon_H49 zenon_H10c zenon_H42 zenon_H10b zenon_Hee zenon_Hd9 zenon_Hd4 zenon_H91 zenon_He9 zenon_Hd3 zenon_Hb1 zenon_H9b zenon_H99 zenon_Hc8 zenon_Hcc zenon_He8 zenon_He6 zenon_Hea zenon_H68 zenon_H5f zenon_H61 zenon_H58 zenon_H57 zenon_H73 zenon_H6e zenon_H77 zenon_H87 zenon_H83 zenon_H81 zenon_H7b zenon_H88 zenon_He0 zenon_Hb9 zenon_Hb6 zenon_Hf6 zenon_H109 zenon_H103 zenon_Hbb zenon_H111 zenon_H116 zenon_H115 zenon_H112 zenon_H117.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H118 | zenon_intro zenon_H11b ].
% 33.93/34.12 apply (zenon_L173_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hfb ].
% 33.93/34.12 apply (zenon_L210_); trivial.
% 33.93/34.12 apply (zenon_L142_); trivial.
% 33.93/34.12 (* end of lemma zenon_L221_ *)
% 33.93/34.12 assert (zenon_L222_ : (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (unit) (e0)) = (e0)) -> ((unit) = (e0)) -> ((op (e0) (e3)) = (e0)) -> False).
% 33.93/34.12 do 0 intro. intros zenon_H15f zenon_H42 zenon_H9 zenon_H160.
% 33.93/34.12 cut (((op (unit) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e0) (e3)))).
% 33.93/34.12 intro zenon_D_pnotp.
% 33.93/34.12 apply zenon_H15f.
% 33.93/34.12 rewrite <- zenon_D_pnotp.
% 33.93/34.12 exact zenon_H42.
% 33.93/34.12 cut (((e0) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H161].
% 33.93/34.12 cut (((op (unit) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 33.93/34.12 congruence.
% 33.93/34.12 elim (classic ((op (e0) (e0)) = (op (e0) (e0)))); [ zenon_intro zenon_H46 | zenon_intro zenon_H47 ].
% 33.93/34.12 cut (((op (e0) (e0)) = (op (e0) (e0))) = ((op (unit) (e0)) = (op (e0) (e0)))).
% 33.93/34.12 intro zenon_D_pnotp.
% 33.93/34.12 apply zenon_H45.
% 33.93/34.12 rewrite <- zenon_D_pnotp.
% 33.93/34.12 exact zenon_H46.
% 33.93/34.12 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H47].
% 33.93/34.12 cut (((op (e0) (e0)) = (op (unit) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 33.93/34.12 congruence.
% 33.93/34.12 apply (zenon_L14_); trivial.
% 33.93/34.12 apply zenon_H47. apply refl_equal.
% 33.93/34.12 apply zenon_H47. apply refl_equal.
% 33.93/34.12 apply zenon_H161. apply sym_equal. exact zenon_H160.
% 33.93/34.12 (* end of lemma zenon_L222_ *)
% 33.93/34.12 assert (zenon_L223_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e0) (e3)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e1) (e3)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.12 do 0 intro. intros zenon_H3b zenon_H160 zenon_H42 zenon_H15f zenon_H4a zenon_Hc zenon_H49 zenon_H22 zenon_H20 zenon_H1f zenon_H2d zenon_H17 zenon_H2c zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.12 apply (zenon_L222_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.12 apply (zenon_L17_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.12 apply (zenon_L8_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.12 apply (zenon_L10_); trivial.
% 33.93/34.12 apply (zenon_L11_); trivial.
% 33.93/34.12 (* end of lemma zenon_L223_ *)
% 33.93/34.12 assert (zenon_L224_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e0) (e3)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e1)) = (e1)) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e4) (e3)) = (e2)) -> False).
% 33.93/34.12 do 0 intro. intros zenon_H3b zenon_H160 zenon_H42 zenon_H15f zenon_H18 zenon_H16 zenon_H22 zenon_H20 zenon_H1f zenon_H2d zenon_H17 zenon_H2c zenon_H91 zenon_Hc zenon_H92.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.12 apply (zenon_L222_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.12 apply (zenon_L6_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.12 apply (zenon_L8_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.12 apply (zenon_L10_); trivial.
% 33.93/34.12 apply (zenon_L44_); trivial.
% 33.93/34.12 (* end of lemma zenon_L224_ *)
% 33.93/34.12 assert (zenon_L225_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e3)) = (e2))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e0) (e3)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e1)) = (e1)) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> False).
% 33.93/34.12 do 0 intro. intros zenon_He0 zenon_Hb zenon_H49 zenon_H34 zenon_H32 zenon_H87 zenon_H83 zenon_H5f zenon_H81 zenon_H7b zenon_H89 zenon_H57 zenon_H58 zenon_H6e zenon_H77 zenon_H73 zenon_H61 zenon_H68 zenon_H88 zenon_He1 zenon_H3b zenon_H160 zenon_H42 zenon_H15f zenon_H18 zenon_H16 zenon_H22 zenon_H20 zenon_H1f zenon_H2d zenon_H17 zenon_H2c zenon_H91 zenon_Hc.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.93/34.12 apply (zenon_L12_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.93/34.12 apply (zenon_L223_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.93/34.12 apply (zenon_L41_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.93/34.12 exact (zenon_He1 zenon_He5).
% 33.93/34.12 apply (zenon_L224_); trivial.
% 33.93/34.12 (* end of lemma zenon_L225_ *)
% 33.93/34.12 assert (zenon_L226_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> False).
% 33.93/34.12 do 0 intro. intros zenon_Hee zenon_Hd9 zenon_Hd4 zenon_He9 zenon_Hd3 zenon_Hb1 zenon_H9b zenon_H99 zenon_Hc8 zenon_Hcc zenon_He8 zenon_He6 zenon_Hea zenon_H3b zenon_H34 zenon_H32 zenon_H2c zenon_H2d zenon_H22 zenon_H20 zenon_H1f zenon_H17 zenon_H16 zenon_H18 zenon_Hc zenon_Hb zenon_H49 zenon_H160 zenon_H42 zenon_H15f zenon_H88 zenon_H7b zenon_H81 zenon_H83 zenon_H87 zenon_H77 zenon_H6e zenon_H73 zenon_H57 zenon_H58 zenon_H61 zenon_H5f zenon_H68 zenon_He1 zenon_H91 zenon_He0.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H89 | zenon_intro zenon_H8d ].
% 33.93/34.12 apply (zenon_L225_); trivial.
% 33.93/34.12 apply (zenon_L111_); trivial.
% 33.93/34.12 (* end of lemma zenon_L226_ *)
% 33.93/34.12 assert (zenon_L227_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> ((op (unit) (e3)) = (e3)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.12 do 0 intro. intros zenon_H3b zenon_H68 zenon_H73 zenon_H8d zenon_H5f zenon_H77 zenon_H76 zenon_H20 zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.12 apply (zenon_L102_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.12 apply (zenon_L105_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.12 apply (zenon_L107_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.12 apply (zenon_L32_); trivial.
% 33.93/34.12 apply (zenon_L11_); trivial.
% 33.93/34.12 (* end of lemma zenon_L227_ *)
% 33.93/34.12 assert (zenon_L228_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (unit) (e0)) = (e0)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e1) = (op (e4) (e2))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 33.93/34.12 do 0 intro. intros zenon_Hf1 zenon_Hba zenon_H9f zenon_H8e zenon_He0 zenon_H91 zenon_H68 zenon_H5f zenon_H61 zenon_H58 zenon_H57 zenon_H73 zenon_H6e zenon_H77 zenon_H87 zenon_H83 zenon_H81 zenon_H7b zenon_H88 zenon_H15f zenon_H42 zenon_H160 zenon_H49 zenon_Hb zenon_Hc zenon_H18 zenon_H16 zenon_H17 zenon_H1f zenon_H20 zenon_H22 zenon_H2d zenon_H2c zenon_H32 zenon_H34 zenon_H3b zenon_Hea zenon_He6 zenon_He8 zenon_Hcc zenon_Hc8 zenon_H99 zenon_H9b zenon_Hb1 zenon_Hd3 zenon_He9 zenon_Hd4 zenon_Hd9 zenon_Hee.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He1 | zenon_intro zenon_H76 ].
% 33.93/34.12 apply (zenon_L226_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H89 | zenon_intro zenon_H8d ].
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hda | zenon_intro zenon_Hde ].
% 33.93/34.12 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.93/34.12 apply (zenon_L12_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.93/34.12 apply (zenon_L223_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.93/34.12 apply (zenon_L41_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.93/34.12 apply (zenon_L118_); trivial.
% 33.93/34.12 apply (zenon_L224_); trivial.
% 33.93/34.12 apply (zenon_L99_); trivial.
% 33.93/34.12 apply (zenon_L227_); trivial.
% 33.93/34.12 (* end of lemma zenon_L228_ *)
% 33.93/34.12 assert (zenon_L229_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (unit) (e0)) = (e0)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e1) = (op (e4) (e2))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 33.93/34.12 do 0 intro. intros zenon_Hf1 zenon_Hf2 zenon_H9f zenon_H8e zenon_He0 zenon_H91 zenon_H68 zenon_H5f zenon_H61 zenon_H58 zenon_H57 zenon_H73 zenon_H6e zenon_H77 zenon_H87 zenon_H83 zenon_H81 zenon_H7b zenon_H88 zenon_H15f zenon_H42 zenon_H160 zenon_H49 zenon_Hb zenon_Hc zenon_H18 zenon_H16 zenon_H17 zenon_H1f zenon_H20 zenon_H22 zenon_H2d zenon_H2c zenon_H32 zenon_H34 zenon_H3b zenon_Hea zenon_He6 zenon_He8 zenon_Hcc zenon_Hc8 zenon_H99 zenon_H9b zenon_Hb1 zenon_Hd3 zenon_He9 zenon_Hd4 zenon_Hd9 zenon_Hee.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He1 | zenon_intro zenon_H76 ].
% 33.93/34.12 apply (zenon_L226_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H89 | zenon_intro zenon_H8d ].
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hda | zenon_intro zenon_Hde ].
% 33.93/34.12 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.93/34.12 apply (zenon_L12_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.93/34.12 apply (zenon_L223_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.93/34.12 apply (zenon_L41_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.93/34.12 apply (zenon_L136_); trivial.
% 33.93/34.12 apply (zenon_L224_); trivial.
% 33.93/34.12 apply (zenon_L99_); trivial.
% 33.93/34.12 apply (zenon_L227_); trivial.
% 33.93/34.12 (* end of lemma zenon_L229_ *)
% 33.93/34.12 assert (zenon_L230_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e4)) = (e2)))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.12 do 0 intro. intros zenon_Hf6 zenon_H18 zenon_Hc zenon_Hb zenon_H49 zenon_H160 zenon_H42 zenon_H15f zenon_He0 zenon_H8e zenon_H9f zenon_Hf1 zenon_Hf7 zenon_H88 zenon_H7b zenon_H81 zenon_H83 zenon_H87 zenon_H77 zenon_H6e zenon_H73 zenon_H57 zenon_H61 zenon_H5f zenon_H68 zenon_Hea zenon_He6 zenon_He8 zenon_Hcc zenon_Hc8 zenon_H99 zenon_H9b zenon_Hb1 zenon_Hd3 zenon_He9 zenon_H91 zenon_Hd4 zenon_H17 zenon_H2c zenon_H2d zenon_Hd9 zenon_Hee zenon_H3b zenon_Hb6 zenon_Hb9 zenon_H22 zenon_H20 zenon_H58 zenon_H1f zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hba | zenon_intro zenon_Hf8 ].
% 33.93/34.12 apply (zenon_L228_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf9 ].
% 33.93/34.12 apply (zenon_L229_); trivial.
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfa ].
% 33.93/34.12 exact (zenon_Hf7 zenon_Hfb).
% 33.93/34.12 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H59 | zenon_intro zenon_Hb7 ].
% 33.93/34.12 apply (zenon_L135_); trivial.
% 33.93/34.12 apply (zenon_L126_); trivial.
% 33.93/34.12 (* end of lemma zenon_L230_ *)
% 33.93/34.12 assert (zenon_L231_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (unit) (e0)) = (e0)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e1) = (op (e4) (e2))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e4)) = (e2)))))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H101 zenon_Hfc zenon_Hfe zenon_Hff zenon_Hf1 zenon_H9f zenon_H8e zenon_He0 zenon_H91 zenon_H68 zenon_H5f zenon_H61 zenon_H58 zenon_H57 zenon_H73 zenon_H6e zenon_H77 zenon_H87 zenon_H83 zenon_H81 zenon_H7b zenon_H88 zenon_H15f zenon_H42 zenon_H160 zenon_H49 zenon_Hb zenon_Hc zenon_H18 zenon_H16 zenon_H17 zenon_H1f zenon_H20 zenon_H22 zenon_H2d zenon_H2c zenon_H32 zenon_H34 zenon_H3b zenon_Hea zenon_He6 zenon_He8 zenon_Hcc zenon_Hc8 zenon_H99 zenon_H9b zenon_Hb1 zenon_Hd3 zenon_He9 zenon_Hd4 zenon_Hd9 zenon_Hee zenon_Hb9 zenon_Hb6 zenon_Hf6.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hfb ].
% 33.93/34.13 apply (zenon_L230_); trivial.
% 33.93/34.13 apply (zenon_L142_); trivial.
% 33.93/34.13 (* end of lemma zenon_L231_ *)
% 33.93/34.13 assert (zenon_L232_ : ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4)))))) -> ((~((op (e4) (e4)) = (e3)))\/((op (e4) (e3)) = (e4))) -> ((~((op (e4) (e4)) = (e0)))\/((op (e4) (e0)) = (e4))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e3)) = (e1))\/((op (e1) (e4)) = (e1)))))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e4) (e2)) = (e0)))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e4)) = (e2)))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e4) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e3) (e1)) = (e0))\/((op (e4) (e1)) = (e0)))))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H162 zenon_H160 zenon_H15f zenon_H149 zenon_H137 zenon_H13e zenon_H147 zenon_H148 zenon_H117 zenon_H112 zenon_H115 zenon_H116 zenon_H111 zenon_H10b zenon_H11f zenon_H129 zenon_H12d zenon_H103 zenon_H109 zenon_Hf6 zenon_Hee zenon_Hea zenon_He6 zenon_He8 zenon_He9 zenon_H3b zenon_H34 zenon_H32 zenon_H2c zenon_H2d zenon_H22 zenon_H20 zenon_H1f zenon_H16 zenon_H18 zenon_Hc zenon_Hb zenon_H50 zenon_H51 zenon_H49 zenon_H42 zenon_H41 zenon_H88 zenon_H7b zenon_H81 zenon_H83 zenon_H87 zenon_H77 zenon_H6e zenon_H73 zenon_H57 zenon_H58 zenon_H61 zenon_H5f zenon_H68 zenon_H9f zenon_H99 zenon_H9b zenon_Hc2 zenon_Hbb zenon_Hb6 zenon_Hb9 zenon_Haa zenon_Hb1 zenon_Ha1 zenon_Hc8 zenon_Hd3 zenon_Hd4 zenon_Hcc zenon_Hd9 zenon_H8e zenon_H91 zenon_He0 zenon_Hef zenon_Hf1 zenon_Hff zenon_Hfe zenon_Hfc zenon_H101 zenon_H133 zenon_H14b zenon_H150 zenon_H155 zenon_H159.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H15a | zenon_intro zenon_H17 ].
% 33.93/34.13 apply (zenon_L220_); trivial.
% 33.93/34.13 apply (zenon_L231_); trivial.
% 33.93/34.13 (* end of lemma zenon_L232_ *)
% 33.93/34.13 assert (zenon_L233_ : (~((op (e0) (e0)) = (op (e0) (e4)))) -> ((op (unit) (e0)) = (e0)) -> ((unit) = (e0)) -> ((op (e0) (e4)) = (e0)) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H163 zenon_H42 zenon_H9 zenon_H164.
% 33.93/34.13 cut (((op (unit) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e0) (e4)))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H163.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H42.
% 33.93/34.13 cut (((e0) = (op (e0) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 33.93/34.13 cut (((op (unit) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 33.93/34.13 congruence.
% 33.93/34.13 elim (classic ((op (e0) (e0)) = (op (e0) (e0)))); [ zenon_intro zenon_H46 | zenon_intro zenon_H47 ].
% 33.93/34.13 cut (((op (e0) (e0)) = (op (e0) (e0))) = ((op (unit) (e0)) = (op (e0) (e0)))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H45.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H46.
% 33.93/34.13 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H47].
% 33.93/34.13 cut (((op (e0) (e0)) = (op (unit) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 33.93/34.13 congruence.
% 33.93/34.13 apply (zenon_L14_); trivial.
% 33.93/34.13 apply zenon_H47. apply refl_equal.
% 33.93/34.13 apply zenon_H47. apply refl_equal.
% 33.93/34.13 apply zenon_H165. apply sym_equal. exact zenon_H164.
% 33.93/34.13 (* end of lemma zenon_L233_ *)
% 33.93/34.13 assert (zenon_L234_ : (~((op (e0) (e1)) = (op (e0) (e4)))) -> ((op (e0) (unit)) = (e0)) -> ((unit) = (e1)) -> ((op (e0) (e4)) = (e0)) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H166 zenon_H50 zenon_H14 zenon_H164.
% 33.93/34.13 cut (((op (e0) (unit)) = (e0)) = ((op (e0) (e1)) = (op (e0) (e4)))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H166.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H50.
% 33.93/34.13 cut (((e0) = (op (e0) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 33.93/34.13 cut (((op (e0) (unit)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H138].
% 33.93/34.13 congruence.
% 33.93/34.13 elim (classic ((op (e0) (e1)) = (op (e0) (e1)))); [ zenon_intro zenon_H139 | zenon_intro zenon_H13a ].
% 33.93/34.13 cut (((op (e0) (e1)) = (op (e0) (e1))) = ((op (e0) (unit)) = (op (e0) (e1)))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H138.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H139.
% 33.93/34.13 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H13a].
% 33.93/34.13 cut (((op (e0) (e1)) = (op (e0) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H135].
% 33.93/34.13 congruence.
% 33.93/34.13 apply (zenon_L188_); trivial.
% 33.93/34.13 apply zenon_H13a. apply refl_equal.
% 33.93/34.13 apply zenon_H13a. apply refl_equal.
% 33.93/34.13 apply zenon_H165. apply sym_equal. exact zenon_H164.
% 33.93/34.13 (* end of lemma zenon_L234_ *)
% 33.93/34.13 assert (zenon_L235_ : (~((op (e0) (e3)) = (op (e0) (e4)))) -> ((op (e0) (unit)) = (e0)) -> ((unit) = (e3)) -> ((op (e0) (e4)) = (e0)) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H167 zenon_H50 zenon_H2a zenon_H164.
% 33.93/34.13 cut (((op (e0) (unit)) = (e0)) = ((op (e0) (e3)) = (op (e0) (e4)))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H167.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H50.
% 33.93/34.13 cut (((e0) = (op (e0) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 33.93/34.13 cut (((op (e0) (unit)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 33.93/34.13 congruence.
% 33.93/34.13 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H52 | zenon_intro zenon_H53 ].
% 33.93/34.13 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (unit)) = (op (e0) (e3)))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H55.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H52.
% 33.93/34.13 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 33.93/34.13 cut (((op (e0) (e3)) = (op (e0) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H4f].
% 33.93/34.13 congruence.
% 33.93/34.13 apply (zenon_L18_); trivial.
% 33.93/34.13 apply zenon_H53. apply refl_equal.
% 33.93/34.13 apply zenon_H53. apply refl_equal.
% 33.93/34.13 apply zenon_H165. apply sym_equal. exact zenon_H164.
% 33.93/34.13 (* end of lemma zenon_L235_ *)
% 33.93/34.13 assert (zenon_L236_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e0) (e4)) = (e0)) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e3)) = (op (e0) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H3b zenon_H42 zenon_H163 zenon_H166 zenon_H22 zenon_H20 zenon_H1f zenon_H164 zenon_H50 zenon_H167 zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.13 apply (zenon_L233_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.13 apply (zenon_L234_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.13 apply (zenon_L8_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.13 apply (zenon_L235_); trivial.
% 33.93/34.13 apply (zenon_L11_); trivial.
% 33.93/34.13 (* end of lemma zenon_L236_ *)
% 33.93/34.13 assert (zenon_L237_ : ((~((op (e4) (e4)) = (e3)))\/((op (e4) (e3)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> ((op (unit) (e4)) = (e4)) -> (((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e4)) = (e2))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e4)) = (e0))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H147 zenon_Hcc zenon_Hb1 zenon_H91 zenon_H57 zenon_H58 zenon_Hba zenon_Hd3 zenon_H13e zenon_Hc3 zenon_H34 zenon_He9 zenon_H13c zenon_H3b zenon_H16 zenon_H32 zenon_Hd4 zenon_He8 zenon_H99 zenon_He6 zenon_Hea.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13d | zenon_intro zenon_Hcd ].
% 33.93/34.13 apply (zenon_L211_); trivial.
% 33.93/34.13 apply (zenon_L81_); trivial.
% 33.93/34.13 (* end of lemma zenon_L237_ *)
% 33.93/34.13 assert (zenon_L238_ : (~((op (e0) (e1)) = (op (unit) (e1)))) -> ((unit) = (e0)) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H168 zenon_H9.
% 33.93/34.13 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 33.93/34.13 cut (((e0) = (unit))); [idtac | apply NNPP; zenon_intro zenon_Ha].
% 33.93/34.13 congruence.
% 33.93/34.13 apply zenon_Ha. apply sym_equal. exact zenon_H9.
% 33.93/34.13 apply zenon_H12. apply refl_equal.
% 33.93/34.13 (* end of lemma zenon_L238_ *)
% 33.93/34.13 assert (zenon_L239_ : (~((op (e0) (e1)) = (op (e0) (e4)))) -> ((op (unit) (e1)) = (e1)) -> ((unit) = (e0)) -> ((op (e0) (e4)) = (e1)) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H166 zenon_H16 zenon_H9 zenon_H169.
% 33.93/34.13 cut (((op (unit) (e1)) = (e1)) = ((op (e0) (e1)) = (op (e0) (e4)))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H166.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H16.
% 33.93/34.13 cut (((e1) = (op (e0) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 33.93/34.13 cut (((op (unit) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16b].
% 33.93/34.13 congruence.
% 33.93/34.13 elim (classic ((op (e0) (e1)) = (op (e0) (e1)))); [ zenon_intro zenon_H139 | zenon_intro zenon_H13a ].
% 33.93/34.13 cut (((op (e0) (e1)) = (op (e0) (e1))) = ((op (unit) (e1)) = (op (e0) (e1)))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H16b.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H139.
% 33.93/34.13 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H13a].
% 33.93/34.13 cut (((op (e0) (e1)) = (op (unit) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H168].
% 33.93/34.13 congruence.
% 33.93/34.13 apply (zenon_L238_); trivial.
% 33.93/34.13 apply zenon_H13a. apply refl_equal.
% 33.93/34.13 apply zenon_H13a. apply refl_equal.
% 33.93/34.13 apply zenon_H16a. apply sym_equal. exact zenon_H169.
% 33.93/34.13 (* end of lemma zenon_L239_ *)
% 33.93/34.13 assert (zenon_L240_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e0) (e4)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> ((op (e1) (e3)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H3b zenon_H169 zenon_H166 zenon_H4a zenon_Hc zenon_H49 zenon_H22 zenon_H20 zenon_H1f zenon_H2d zenon_H17 zenon_H2c zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.13 apply (zenon_L239_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.13 apply (zenon_L17_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.13 apply (zenon_L8_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.13 apply (zenon_L10_); trivial.
% 33.93/34.13 apply (zenon_L11_); trivial.
% 33.93/34.13 (* end of lemma zenon_L240_ *)
% 33.93/34.13 assert (zenon_L241_ : ((e3) = (op (e2) (e4))) -> ((op (e2) (e4)) = (e1)) -> (~((e1) = (e3))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H22 zenon_H16c zenon_H16d.
% 33.93/34.13 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H16e | zenon_intro zenon_H1e ].
% 33.93/34.13 cut (((e3) = (e3)) = ((e1) = (e3))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H16d.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H16e.
% 33.93/34.13 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 33.93/34.13 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H16f].
% 33.93/34.13 congruence.
% 33.93/34.13 cut (((e3) = (op (e2) (e4))) = ((e3) = (e1))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H16f.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H22.
% 33.93/34.13 cut (((op (e2) (e4)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H170].
% 33.93/34.13 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 33.93/34.13 congruence.
% 33.93/34.13 apply zenon_H1e. apply refl_equal.
% 33.93/34.13 exact (zenon_H170 zenon_H16c).
% 33.93/34.13 apply zenon_H1e. apply refl_equal.
% 33.93/34.13 apply zenon_H1e. apply refl_equal.
% 33.93/34.13 (* end of lemma zenon_L241_ *)
% 33.93/34.13 assert (zenon_L242_ : (~((op (e3) (e1)) = (op (unit) (e1)))) -> ((unit) = (e3)) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H171 zenon_H2a.
% 33.93/34.13 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 33.93/34.13 cut (((e3) = (unit))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 33.93/34.13 congruence.
% 33.93/34.13 apply zenon_H2b. apply sym_equal. exact zenon_H2a.
% 33.93/34.13 apply zenon_H12. apply refl_equal.
% 33.93/34.13 (* end of lemma zenon_L242_ *)
% 33.93/34.13 assert (zenon_L243_ : (~((op (e3) (e1)) = (op (e3) (e4)))) -> ((op (unit) (e1)) = (e1)) -> ((unit) = (e3)) -> ((op (e3) (e4)) = (e1)) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H81 zenon_H16 zenon_H2a zenon_H172.
% 33.93/34.13 cut (((op (unit) (e1)) = (e1)) = ((op (e3) (e1)) = (op (e3) (e4)))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H81.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H16.
% 33.93/34.13 cut (((e1) = (op (e3) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H173].
% 33.93/34.13 cut (((op (unit) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H174].
% 33.93/34.13 congruence.
% 33.93/34.13 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H62 | zenon_intro zenon_H63 ].
% 33.93/34.13 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (unit) (e1)) = (op (e3) (e1)))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H174.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H62.
% 33.93/34.13 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H63].
% 33.93/34.13 cut (((op (e3) (e1)) = (op (unit) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H171].
% 33.93/34.13 congruence.
% 33.93/34.13 apply (zenon_L242_); trivial.
% 33.93/34.13 apply zenon_H63. apply refl_equal.
% 33.93/34.13 apply zenon_H63. apply refl_equal.
% 33.93/34.13 apply zenon_H173. apply sym_equal. exact zenon_H172.
% 33.93/34.13 (* end of lemma zenon_L243_ *)
% 33.93/34.13 assert (zenon_L244_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e4) (e2)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e1) (e3)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e3) (e4)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H3b zenon_Hc9 zenon_H99 zenon_Hc8 zenon_H4a zenon_Hc zenon_H49 zenon_H22 zenon_H20 zenon_H1f zenon_H172 zenon_H81 zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.13 apply (zenon_L70_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.13 apply (zenon_L17_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.13 apply (zenon_L8_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.13 apply (zenon_L243_); trivial.
% 33.93/34.13 apply (zenon_L11_); trivial.
% 33.93/34.13 (* end of lemma zenon_L244_ *)
% 33.93/34.13 assert (zenon_L245_ : (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((e1) = (e3))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> ((op (e4) (e2)) = (e4)) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e1))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H175 zenon_H17 zenon_H2d zenon_H166 zenon_H116 zenon_H2c zenon_H115 zenon_H112 zenon_H16d zenon_H34 zenon_H16 zenon_H32 zenon_H81 zenon_H1f zenon_H20 zenon_H22 zenon_H49 zenon_Hc zenon_H4a zenon_Hc8 zenon_H99 zenon_Hc9 zenon_H3b zenon_H144.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H169 | zenon_intro zenon_H176 ].
% 33.93/34.13 apply (zenon_L240_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H113 | zenon_intro zenon_H177 ].
% 33.93/34.13 apply (zenon_L172_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H16c | zenon_intro zenon_H178 ].
% 33.93/34.13 apply (zenon_L241_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H172 | zenon_intro zenon_H142 ].
% 33.93/34.13 apply (zenon_L244_); trivial.
% 33.93/34.13 exact (zenon_H144 zenon_H142).
% 33.93/34.13 (* end of lemma zenon_L245_ *)
% 33.93/34.13 assert (zenon_L246_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e4) (e4)) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e3)) = (e2))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e4) (e2)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> False).
% 33.93/34.13 do 0 intro. intros zenon_He0 zenon_H18 zenon_Hb zenon_H144 zenon_H49 zenon_H16d zenon_H112 zenon_H115 zenon_H2c zenon_H116 zenon_H166 zenon_H2d zenon_H17 zenon_H175 zenon_H34 zenon_H16 zenon_H87 zenon_H83 zenon_H5f zenon_H81 zenon_H7b zenon_H89 zenon_H57 zenon_H58 zenon_H6e zenon_H77 zenon_H73 zenon_H61 zenon_H68 zenon_H88 zenon_He1 zenon_H3b zenon_Hc8 zenon_H32 zenon_H22 zenon_H20 zenon_H1f zenon_Hc9 zenon_H99 zenon_H91 zenon_Hc.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.93/34.13 apply (zenon_L12_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.93/34.13 apply (zenon_L245_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.93/34.13 apply (zenon_L41_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.93/34.13 exact (zenon_He1 zenon_He5).
% 33.93/34.13 apply (zenon_L73_); trivial.
% 33.93/34.13 (* end of lemma zenon_L246_ *)
% 33.93/34.13 assert (zenon_L247_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (e1)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> ((op (unit) (e4)) = (e4)) -> ((op (e4) (e3)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H3b zenon_Hcc zenon_H32 zenon_Hb1 zenon_Ha5 zenon_H99 zenon_Hd3 zenon_Hcd zenon_Hd4.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.13 apply (zenon_L74_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.13 apply (zenon_L75_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.13 apply (zenon_L58_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.13 apply (zenon_L60_); trivial.
% 33.93/34.13 apply (zenon_L80_); trivial.
% 33.93/34.13 (* end of lemma zenon_L247_ *)
% 33.93/34.13 assert (zenon_L248_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e4) (e1)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> ((op (unit) (e4)) = (e4)) -> ((op (e4) (e2)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H3b zenon_Hc8 zenon_H32 zenon_Ha5 zenon_H91 zenon_H99 zenon_Hd3 zenon_Hc9 zenon_He9.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.13 apply (zenon_L70_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.13 apply (zenon_L71_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.13 apply (zenon_L58_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.13 apply (zenon_L72_); trivial.
% 33.93/34.13 apply (zenon_L108_); trivial.
% 33.93/34.13 (* end of lemma zenon_L248_ *)
% 33.93/34.13 assert (zenon_L249_ : ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e0))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((e1) = (op (e4) (e2))) -> (((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4)))))) -> ((op (unit) (e4)) = (e4)) -> ((op (e4) (e1)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> ((~((op (e4) (e4)) = (e3)))\/((op (e4) (e3)) = (e4))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_Hef zenon_Hc8 zenon_H91 zenon_Hea zenon_He6 zenon_H99 zenon_He8 zenon_Hd4 zenon_H32 zenon_H16 zenon_H3b zenon_H13c zenon_He9 zenon_H34 zenon_H13e zenon_Hd3 zenon_Ha5 zenon_Hb1 zenon_Hcc zenon_H147.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc9 ].
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13d | zenon_intro zenon_Hcd ].
% 33.93/34.13 apply (zenon_L211_); trivial.
% 33.93/34.13 apply (zenon_L247_); trivial.
% 33.93/34.13 apply (zenon_L248_); trivial.
% 33.93/34.13 (* end of lemma zenon_L249_ *)
% 33.93/34.13 assert (zenon_L250_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e3) (e4)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> ((op (e4) (e0)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H3b zenon_H7c zenon_H5f zenon_H7b zenon_H9b zenon_Hc8 zenon_Hcc zenon_H9a zenon_H99 zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.13 apply (zenon_L35_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.13 apply (zenon_L49_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.13 apply (zenon_L84_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.13 apply (zenon_L103_); trivial.
% 33.93/34.13 apply (zenon_L11_); trivial.
% 33.93/34.13 (* end of lemma zenon_L250_ *)
% 33.93/34.13 assert (zenon_L251_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> ((op (e4) (e0)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H88 zenon_H68 zenon_H1f zenon_H22 zenon_H57 zenon_H58 zenon_H59 zenon_H73 zenon_H9f zenon_H61 zenon_H20 zenon_H77 zenon_H8e zenon_H89 zenon_H3b zenon_H5f zenon_H7b zenon_H9b zenon_Hc8 zenon_Hcc zenon_H9a zenon_H99 zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H60 | zenon_intro zenon_H8a ].
% 33.93/34.13 apply (zenon_L27_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ].
% 33.93/34.13 apply (zenon_L51_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H8c ].
% 33.93/34.13 apply (zenon_L85_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H8d | zenon_intro zenon_H7c ].
% 33.93/34.13 exact (zenon_H89 zenon_H8d).
% 33.93/34.13 apply (zenon_L250_); trivial.
% 33.93/34.13 (* end of lemma zenon_L251_ *)
% 33.93/34.13 assert (zenon_L252_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e3) (e4)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> ((op (e4) (e0)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e4) (e3)) = (e2)) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H3b zenon_H7c zenon_H5f zenon_H7b zenon_H9b zenon_Hc8 zenon_Hcc zenon_H9a zenon_H99 zenon_H91 zenon_Hc zenon_H92.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.13 apply (zenon_L35_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.13 apply (zenon_L49_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.13 apply (zenon_L84_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.13 apply (zenon_L103_); trivial.
% 33.93/34.13 apply (zenon_L44_); trivial.
% 33.93/34.13 (* end of lemma zenon_L252_ *)
% 33.93/34.13 assert (zenon_L253_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (unit) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e4) (e4)) = (e2))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e4)) = (e4))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e3) (e3)) = (e3))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> ((op (e4) (e0)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> False).
% 33.93/34.13 do 0 intro. intros zenon_He0 zenon_Hb zenon_H50 zenon_H51 zenon_H49 zenon_H68 zenon_He1 zenon_H88 zenon_H41 zenon_H42 zenon_H43 zenon_H73 zenon_Hbb zenon_H61 zenon_Hc3 zenon_Hd9 zenon_H8e zenon_H83 zenon_H9f zenon_H1f zenon_H20 zenon_H22 zenon_H32 zenon_Hd4 zenon_Hd3 zenon_H58 zenon_Hba zenon_H57 zenon_Hb1 zenon_Hda zenon_Hb6 zenon_Hb9 zenon_H77 zenon_H34 zenon_H16 zenon_Haa zenon_Ha1 zenon_H18 zenon_H2d zenon_H17 zenon_H2c zenon_Hc2 zenon_H89 zenon_H3b zenon_H5f zenon_H7b zenon_H9b zenon_Hc8 zenon_Hcc zenon_H9a zenon_H99 zenon_H91 zenon_Hc.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.93/34.13 apply (zenon_L12_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.93/34.13 apply (zenon_L20_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.93/34.13 apply (zenon_L251_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.93/34.13 exact (zenon_He1 zenon_He5).
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H60 | zenon_intro zenon_H8a ].
% 33.93/34.13 apply (zenon_L45_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ].
% 33.93/34.13 apply (zenon_L82_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H8c ].
% 33.93/34.13 apply (zenon_L92_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H8d | zenon_intro zenon_H7c ].
% 33.93/34.13 exact (zenon_H89 zenon_H8d).
% 33.93/34.13 apply (zenon_L252_); trivial.
% 33.93/34.13 (* end of lemma zenon_L253_ *)
% 33.93/34.13 assert (zenon_L254_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> ((op (e4) (e0)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e3)) = (e2))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e0) (e3)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e1)) = (e1)) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> False).
% 33.93/34.13 do 0 intro. intros zenon_He0 zenon_Hb zenon_H49 zenon_H34 zenon_H32 zenon_H99 zenon_H9a zenon_Hcc zenon_Hc8 zenon_H9b zenon_H7b zenon_H5f zenon_H89 zenon_H8e zenon_H77 zenon_H61 zenon_H9f zenon_H73 zenon_H58 zenon_H57 zenon_H68 zenon_H88 zenon_He1 zenon_H3b zenon_H160 zenon_H42 zenon_H15f zenon_H18 zenon_H16 zenon_H22 zenon_H20 zenon_H1f zenon_H2d zenon_H17 zenon_H2c zenon_H91 zenon_Hc.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.93/34.13 apply (zenon_L12_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.93/34.13 apply (zenon_L223_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.93/34.13 apply (zenon_L251_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.93/34.13 exact (zenon_He1 zenon_He5).
% 33.93/34.13 apply (zenon_L224_); trivial.
% 33.93/34.13 (* end of lemma zenon_L254_ *)
% 33.93/34.13 assert (zenon_L255_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e0) (e4)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> ((op (e1) (e3)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H3b zenon_H164 zenon_H42 zenon_H163 zenon_H4a zenon_Hc zenon_H49 zenon_H22 zenon_H20 zenon_H1f zenon_H2d zenon_H17 zenon_H2c zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.13 apply (zenon_L233_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.13 apply (zenon_L17_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.13 apply (zenon_L8_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.13 apply (zenon_L10_); trivial.
% 33.93/34.13 apply (zenon_L11_); trivial.
% 33.93/34.13 (* end of lemma zenon_L255_ *)
% 33.93/34.13 assert (zenon_L256_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e0) (e4)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e1)) = (e1)) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e4) (e3)) = (e2)) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H3b zenon_H164 zenon_H42 zenon_H163 zenon_H18 zenon_H16 zenon_H22 zenon_H20 zenon_H1f zenon_H2d zenon_H17 zenon_H2c zenon_H91 zenon_Hc zenon_H92.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.13 apply (zenon_L233_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.13 apply (zenon_L6_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.13 apply (zenon_L8_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.13 apply (zenon_L10_); trivial.
% 33.93/34.13 apply (zenon_L44_); trivial.
% 33.93/34.13 (* end of lemma zenon_L256_ *)
% 33.93/34.13 assert (zenon_L257_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e1) = (op (e4) (e2))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e0) (e4)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e1)) = (e1)) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> False).
% 33.93/34.13 do 0 intro. intros zenon_He0 zenon_Hb zenon_H49 zenon_H88 zenon_H7b zenon_H81 zenon_H83 zenon_H87 zenon_H77 zenon_H6e zenon_H73 zenon_H57 zenon_H58 zenon_H61 zenon_H5f zenon_H68 zenon_H32 zenon_H34 zenon_Hea zenon_He6 zenon_He8 zenon_Hcc zenon_Hc8 zenon_H99 zenon_H9b zenon_Hb1 zenon_Hd3 zenon_He9 zenon_Hd4 zenon_Hba zenon_Hd9 zenon_Hee zenon_He1 zenon_H3b zenon_H164 zenon_H42 zenon_H163 zenon_H18 zenon_H16 zenon_H22 zenon_H20 zenon_H1f zenon_H2d zenon_H17 zenon_H2c zenon_H91 zenon_Hc.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.93/34.13 apply (zenon_L12_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.93/34.13 apply (zenon_L255_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.93/34.13 apply (zenon_L114_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.93/34.13 exact (zenon_He1 zenon_He5).
% 33.93/34.13 apply (zenon_L256_); trivial.
% 33.93/34.13 (* end of lemma zenon_L257_ *)
% 33.93/34.13 assert (zenon_L258_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (e0)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> ((op (unit) (e4)) = (e4)) -> ((op (e4) (e1)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H3b zenon_H9b zenon_H9a zenon_H32 zenon_Hb1 zenon_H99 zenon_Hd3 zenon_Ha5 zenon_He8.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.13 apply (zenon_L55_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.13 apply (zenon_L49_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.13 apply (zenon_L58_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.13 apply (zenon_L60_); trivial.
% 33.93/34.13 apply (zenon_L127_); trivial.
% 33.93/34.13 (* end of lemma zenon_L258_ *)
% 33.93/34.13 assert (zenon_L259_ : ((~((op (e4) (e4)) = (e0)))\/((op (e4) (e0)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((~((op (e4) (e4)) = (e3)))\/((op (e4) (e3)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> ((op (unit) (e4)) = (e4)) -> (((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H148 zenon_H9b zenon_Hc8 zenon_H147 zenon_Hcc zenon_Hb1 zenon_H91 zenon_H57 zenon_H58 zenon_Hba zenon_Hd3 zenon_H13e zenon_H34 zenon_He9 zenon_H3b zenon_H16 zenon_H32 zenon_Hd4 zenon_He8 zenon_H99 zenon_He6 zenon_Hea zenon_H77 zenon_H22 zenon_H20 zenon_H1f zenon_H9f zenon_H76 zenon_H5f zenon_H8e zenon_Hef.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13c | zenon_intro zenon_H9a ].
% 33.93/34.13 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc9 ].
% 33.93/34.13 apply (zenon_L237_); trivial.
% 33.93/34.13 apply (zenon_L120_); trivial.
% 33.93/34.13 apply (zenon_L85_); trivial.
% 33.93/34.13 (* end of lemma zenon_L259_ *)
% 33.93/34.13 assert (zenon_L260_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H3b zenon_H18 zenon_H17 zenon_H22 zenon_H20 zenon_H1f zenon_H111 zenon_H11b zenon_H2c zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.13 apply (zenon_L185_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.13 apply (zenon_L6_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.13 apply (zenon_L8_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.13 apply (zenon_L189_); trivial.
% 33.93/34.13 apply (zenon_L11_); trivial.
% 33.93/34.13 (* end of lemma zenon_L260_ *)
% 33.93/34.13 assert (zenon_L261_ : ((op (e0) (unit)) = (e0)) -> ((unit) = (e1)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H50 zenon_H14 zenon_H179 zenon_H41.
% 33.93/34.13 elim (classic ((op (e0) (e1)) = (op (e0) (e1)))); [ zenon_intro zenon_H139 | zenon_intro zenon_H13a ].
% 33.93/34.13 cut (((op (e0) (e1)) = (op (e0) (e1))) = ((op (e0) (e0)) = (op (e0) (e1)))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H41.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H139.
% 33.93/34.13 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H13a].
% 33.93/34.13 cut (((op (e0) (e1)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H17a].
% 33.93/34.13 congruence.
% 33.93/34.13 cut (((op (e0) (unit)) = (e0)) = ((op (e0) (e1)) = (op (e0) (e0)))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H17a.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H50.
% 33.93/34.13 cut (((e0) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H17b].
% 33.93/34.13 cut (((op (e0) (unit)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H138].
% 33.93/34.13 congruence.
% 33.93/34.13 elim (classic ((op (e0) (e1)) = (op (e0) (e1)))); [ zenon_intro zenon_H139 | zenon_intro zenon_H13a ].
% 33.93/34.13 cut (((op (e0) (e1)) = (op (e0) (e1))) = ((op (e0) (unit)) = (op (e0) (e1)))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H138.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H139.
% 33.93/34.13 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H13a].
% 33.93/34.13 cut (((op (e0) (e1)) = (op (e0) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H135].
% 33.93/34.13 congruence.
% 33.93/34.13 apply (zenon_L188_); trivial.
% 33.93/34.13 apply zenon_H13a. apply refl_equal.
% 33.93/34.13 apply zenon_H13a. apply refl_equal.
% 33.93/34.13 apply zenon_H17b. apply sym_equal. exact zenon_H179.
% 33.93/34.13 apply zenon_H13a. apply refl_equal.
% 33.93/34.13 apply zenon_H13a. apply refl_equal.
% 33.93/34.13 (* end of lemma zenon_L261_ *)
% 33.93/34.13 assert (zenon_L262_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (unit)) = (e0)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H3b zenon_H42 zenon_H41 zenon_H179 zenon_H22 zenon_H20 zenon_H1f zenon_H51 zenon_H43 zenon_H50 zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.13 apply (zenon_L15_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.13 apply (zenon_L261_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.13 apply (zenon_L8_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.13 apply (zenon_L19_); trivial.
% 33.93/34.13 apply (zenon_L11_); trivial.
% 33.93/34.13 (* end of lemma zenon_L262_ *)
% 33.93/34.13 assert (zenon_L263_ : (~((op (e0) (e3)) = (op (unit) (e3)))) -> ((unit) = (e0)) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H17c zenon_H9.
% 33.93/34.13 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 33.93/34.13 cut (((e0) = (unit))); [idtac | apply NNPP; zenon_intro zenon_Ha].
% 33.93/34.13 congruence.
% 33.93/34.13 apply zenon_Ha. apply sym_equal. exact zenon_H9.
% 33.93/34.13 apply zenon_H1e. apply refl_equal.
% 33.93/34.13 (* end of lemma zenon_L263_ *)
% 33.93/34.13 assert (zenon_L264_ : ((op (unit) (e3)) = (e3)) -> ((unit) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H20 zenon_H9 zenon_H17d zenon_H51.
% 33.93/34.13 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H52 | zenon_intro zenon_H53 ].
% 33.93/34.13 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e1)) = (op (e0) (e3)))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H51.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H52.
% 33.93/34.13 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 33.93/34.13 cut (((op (e0) (e3)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 33.93/34.13 congruence.
% 33.93/34.13 cut (((op (unit) (e3)) = (e3)) = ((op (e0) (e3)) = (op (e0) (e1)))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H54.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H20.
% 33.93/34.13 cut (((e3) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 33.93/34.13 cut (((op (unit) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H17f].
% 33.93/34.13 congruence.
% 33.93/34.13 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H52 | zenon_intro zenon_H53 ].
% 33.93/34.13 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (unit) (e3)) = (op (e0) (e3)))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H17f.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H52.
% 33.93/34.13 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 33.93/34.13 cut (((op (e0) (e3)) = (op (unit) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H17c].
% 33.93/34.13 congruence.
% 33.93/34.13 apply (zenon_L263_); trivial.
% 33.93/34.13 apply zenon_H53. apply refl_equal.
% 33.93/34.13 apply zenon_H53. apply refl_equal.
% 33.93/34.13 apply zenon_H17e. apply sym_equal. exact zenon_H17d.
% 33.93/34.13 apply zenon_H53. apply refl_equal.
% 33.93/34.13 apply zenon_H53. apply refl_equal.
% 33.93/34.13 (* end of lemma zenon_L264_ *)
% 33.93/34.13 assert (zenon_L265_ : (~((op (e1) (e0)) = (op (unit) (e0)))) -> ((unit) = (e1)) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H180 zenon_H14.
% 33.93/34.13 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 33.93/34.13 cut (((e1) = (unit))); [idtac | apply NNPP; zenon_intro zenon_H15].
% 33.93/34.13 congruence.
% 33.93/34.13 apply zenon_H15. apply sym_equal. exact zenon_H14.
% 33.93/34.13 apply zenon_H3f. apply refl_equal.
% 33.93/34.13 (* end of lemma zenon_L265_ *)
% 33.93/34.13 assert (zenon_L266_ : (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e0)) = (e0)) -> ((unit) = (e1)) -> ((op (e1) (e1)) = (e0)) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H18 zenon_H42 zenon_H14 zenon_H15d.
% 33.93/34.13 cut (((op (unit) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e1) (e1)))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H18.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H42.
% 33.93/34.13 cut (((e0) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 33.93/34.13 cut (((op (unit) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 33.93/34.13 congruence.
% 33.93/34.13 elim (classic ((op (e1) (e0)) = (op (e1) (e0)))); [ zenon_intro zenon_H107 | zenon_intro zenon_H108 ].
% 33.93/34.13 cut (((op (e1) (e0)) = (op (e1) (e0))) = ((op (unit) (e0)) = (op (e1) (e0)))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H182.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H107.
% 33.93/34.13 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 33.93/34.13 cut (((op (e1) (e0)) = (op (unit) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H180].
% 33.93/34.13 congruence.
% 33.93/34.13 apply (zenon_L265_); trivial.
% 33.93/34.13 apply zenon_H108. apply refl_equal.
% 33.93/34.13 apply zenon_H108. apply refl_equal.
% 33.93/34.13 apply zenon_H181. apply sym_equal. exact zenon_H15d.
% 33.93/34.13 (* end of lemma zenon_L266_ *)
% 33.93/34.13 assert (zenon_L267_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e3)) -> ((op (unit) (e3)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> ((op (e4) (e0)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H3b zenon_H51 zenon_H17d zenon_H20 zenon_H15d zenon_H42 zenon_H18 zenon_Hc8 zenon_Hcc zenon_H9a zenon_H99 zenon_H32 zenon_H16 zenon_H34.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.13 apply (zenon_L264_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.13 apply (zenon_L266_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.13 apply (zenon_L84_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.13 apply (zenon_L103_); trivial.
% 33.93/34.13 apply (zenon_L11_); trivial.
% 33.93/34.13 (* end of lemma zenon_L267_ *)
% 33.93/34.13 assert (zenon_L268_ : ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> ((op (e1) (e4)) = (e0)) -> ((e1) = (op (e4) (e2))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H11f zenon_H183 zenon_H34 zenon_H115.
% 33.93/34.13 elim (classic ((op (e1) (e4)) = (op (e1) (e4)))); [ zenon_intro zenon_H184 | zenon_intro zenon_H185 ].
% 33.93/34.13 cut (((op (e1) (e4)) = (op (e1) (e4))) = ((op (e1) (e1)) = (op (e1) (e4)))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H115.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H184.
% 33.93/34.13 cut (((op (e1) (e4)) = (op (e1) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H185].
% 33.93/34.13 cut (((op (e1) (e4)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H186].
% 33.93/34.13 congruence.
% 33.93/34.13 cut (((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) = ((op (e1) (e4)) = (op (e1) (e1)))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H186.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H11f.
% 33.93/34.13 cut (((op (op (e4) (e2)) (op (e4) (e2))) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H11d].
% 33.93/34.13 cut (((e0) = (op (e1) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H187].
% 33.93/34.13 congruence.
% 33.93/34.13 elim (classic ((op (e1) (e4)) = (op (e1) (e4)))); [ zenon_intro zenon_H184 | zenon_intro zenon_H185 ].
% 33.93/34.13 cut (((op (e1) (e4)) = (op (e1) (e4))) = ((e0) = (op (e1) (e4)))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H187.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H184.
% 33.93/34.13 cut (((op (e1) (e4)) = (op (e1) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H185].
% 33.93/34.13 cut (((op (e1) (e4)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H188].
% 33.93/34.13 congruence.
% 33.93/34.13 exact (zenon_H188 zenon_H183).
% 33.93/34.13 apply zenon_H185. apply refl_equal.
% 33.93/34.13 apply zenon_H185. apply refl_equal.
% 33.93/34.13 apply (zenon_L174_); trivial.
% 33.93/34.13 apply zenon_H185. apply refl_equal.
% 33.93/34.13 apply zenon_H185. apply refl_equal.
% 33.93/34.13 (* end of lemma zenon_L268_ *)
% 33.93/34.13 assert (zenon_L269_ : ((e3) = (op (e2) (e4))) -> ((op (e2) (e4)) = (e0)) -> (~((e0) = (e3))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H22 zenon_H189 zenon_H18a.
% 33.93/34.13 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H16e | zenon_intro zenon_H1e ].
% 33.93/34.13 cut (((e3) = (e3)) = ((e0) = (e3))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H18a.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H16e.
% 33.93/34.13 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 33.93/34.13 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 33.93/34.13 congruence.
% 33.93/34.13 cut (((e3) = (op (e2) (e4))) = ((e3) = (e0))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H18b.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H22.
% 33.93/34.13 cut (((op (e2) (e4)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H18c].
% 33.93/34.13 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 33.93/34.13 congruence.
% 33.93/34.13 apply zenon_H1e. apply refl_equal.
% 33.93/34.13 exact (zenon_H18c zenon_H189).
% 33.93/34.13 apply zenon_H1e. apply refl_equal.
% 33.93/34.13 apply zenon_H1e. apply refl_equal.
% 33.93/34.13 (* end of lemma zenon_L269_ *)
% 33.93/34.13 assert (zenon_L270_ : (~((op (e3) (e0)) = (op (e3) (e4)))) -> ((op (unit) (e0)) = (e0)) -> ((unit) = (e3)) -> ((op (e3) (e4)) = (e0)) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H7b zenon_H42 zenon_H2a zenon_H18d.
% 33.93/34.13 cut (((op (unit) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e4)))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H7b.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H42.
% 33.93/34.13 cut (((e0) = (op (e3) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H18e].
% 33.93/34.13 cut (((op (unit) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H127].
% 33.93/34.13 congruence.
% 33.93/34.13 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_H7f | zenon_intro zenon_H80 ].
% 33.93/34.13 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (unit) (e0)) = (op (e3) (e0)))).
% 33.93/34.13 intro zenon_D_pnotp.
% 33.93/34.13 apply zenon_H127.
% 33.93/34.13 rewrite <- zenon_D_pnotp.
% 33.93/34.13 exact zenon_H7f.
% 33.93/34.13 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H80].
% 33.93/34.13 cut (((op (e3) (e0)) = (op (unit) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 33.93/34.13 congruence.
% 33.93/34.13 apply (zenon_L176_); trivial.
% 33.93/34.13 apply zenon_H80. apply refl_equal.
% 33.93/34.13 apply zenon_H80. apply refl_equal.
% 33.93/34.13 apply zenon_H18e. apply sym_equal. exact zenon_H18d.
% 33.93/34.13 (* end of lemma zenon_L270_ *)
% 33.93/34.13 assert (zenon_L271_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> ((op (e3) (e4)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e4) (e1)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H3b zenon_H9b zenon_H18 zenon_H17 zenon_H16 zenon_H32 zenon_H99 zenon_H18d zenon_H42 zenon_H7b zenon_Hd3 zenon_Ha5 zenon_He8.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.93/34.13 apply (zenon_L55_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.93/34.13 apply (zenon_L6_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.93/34.13 apply (zenon_L58_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.93/34.13 apply (zenon_L270_); trivial.
% 33.93/34.13 apply (zenon_L127_); trivial.
% 33.93/34.13 (* end of lemma zenon_L271_ *)
% 33.93/34.13 assert (zenon_L272_ : (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> ((e1) = (op (e4) (e2))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((e0) = (e3))) -> ((e3) = (op (e2) (e4))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> ((op (e4) (e1)) = (e4)) -> ((op (unit) (e4)) = (e4)) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> ((op (unit) (e0)) = (e0)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e0))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H18f zenon_H2c zenon_H2d zenon_H1f zenon_H20 zenon_H49 zenon_Hc zenon_H4a zenon_H163 zenon_H115 zenon_H34 zenon_H11f zenon_H18a zenon_H22 zenon_He8 zenon_Ha5 zenon_Hd3 zenon_H7b zenon_H42 zenon_H99 zenon_H32 zenon_H16 zenon_H17 zenon_H18 zenon_H9b zenon_H3b zenon_H13c.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H164 | zenon_intro zenon_H190 ].
% 33.93/34.13 apply (zenon_L255_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H183 | zenon_intro zenon_H191 ].
% 33.93/34.13 apply (zenon_L268_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H189 | zenon_intro zenon_H192 ].
% 33.93/34.13 apply (zenon_L269_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H18d | zenon_intro zenon_H140 ].
% 33.93/34.13 apply (zenon_L271_); trivial.
% 33.93/34.13 exact (zenon_H13c zenon_H140).
% 33.93/34.13 (* end of lemma zenon_L272_ *)
% 33.93/34.13 assert (zenon_L273_ : (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e4) (e4)) = (e0))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((e0) = (e3))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> ((op (e3) (e4)) = (e1)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e4))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_Hd9 zenon_H15d zenon_H17d zenon_H51 zenon_H13c zenon_H9b zenon_H18 zenon_H17 zenon_H42 zenon_H7b zenon_He8 zenon_H18a zenon_H11f zenon_H115 zenon_H163 zenon_H2d zenon_H2c zenon_H18f zenon_H34 zenon_H16 zenon_H32 zenon_H81 zenon_H172 zenon_H1f zenon_H20 zenon_H22 zenon_H49 zenon_Hc zenon_H4a zenon_Hc8 zenon_Hd4 zenon_Hd3 zenon_H58 zenon_Hba zenon_H57 zenon_H91 zenon_H99 zenon_Hb1 zenon_Hcc zenon_H3b zenon_Hda.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H9a | zenon_intro zenon_Hdb ].
% 33.93/34.13 apply (zenon_L267_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hdc ].
% 33.93/34.13 apply (zenon_L272_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ].
% 33.93/34.13 apply (zenon_L244_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ].
% 33.93/34.13 apply (zenon_L81_); trivial.
% 33.93/34.13 exact (zenon_Hda zenon_Hde).
% 33.93/34.13 (* end of lemma zenon_L273_ *)
% 33.93/34.13 assert (zenon_L274_ : (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((e1) = (e3))) -> (~((op (e4) (e4)) = (e4))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e1) (e3)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((e0) = (e3))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> ((op (unit) (e0)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e4)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e4)) = (e1))) -> False).
% 33.93/34.13 do 0 intro. intros zenon_H175 zenon_H166 zenon_H116 zenon_H112 zenon_H16d zenon_Hda zenon_H3b zenon_Hcc zenon_Hb1 zenon_H99 zenon_H91 zenon_H57 zenon_Hba zenon_H58 zenon_Hd3 zenon_Hd4 zenon_Hc8 zenon_H4a zenon_Hc zenon_H49 zenon_H22 zenon_H20 zenon_H1f zenon_H81 zenon_H32 zenon_H16 zenon_H34 zenon_H18f zenon_H2c zenon_H2d zenon_H163 zenon_H115 zenon_H11f zenon_H18a zenon_He8 zenon_H7b zenon_H42 zenon_H17 zenon_H18 zenon_H9b zenon_H13c zenon_H51 zenon_H17d zenon_H15d zenon_Hd9 zenon_H144.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H169 | zenon_intro zenon_H176 ].
% 33.93/34.13 apply (zenon_L240_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H113 | zenon_intro zenon_H177 ].
% 33.93/34.13 apply (zenon_L172_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H16c | zenon_intro zenon_H178 ].
% 33.93/34.13 apply (zenon_L241_); trivial.
% 33.93/34.13 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H172 | zenon_intro zenon_H142 ].
% 33.93/34.13 apply (zenon_L273_); trivial.
% 33.93/34.13 exact (zenon_H144 zenon_H142).
% 33.93/34.13 (* end of lemma zenon_L274_ *)
% 33.93/34.13 assert (zenon_L275_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e0) (e4)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e1)) = (e1)) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e4) (e3)) = (e2)) -> False).
% 33.97/34.13 do 0 intro. intros zenon_H3b zenon_H169 zenon_H166 zenon_H18 zenon_H16 zenon_H22 zenon_H20 zenon_H1f zenon_H2d zenon_H17 zenon_H2c zenon_H91 zenon_Hc zenon_H92.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.97/34.13 apply (zenon_L239_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.97/34.13 apply (zenon_L6_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.97/34.13 apply (zenon_L8_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.97/34.13 apply (zenon_L10_); trivial.
% 33.97/34.13 apply (zenon_L44_); trivial.
% 33.97/34.13 (* end of lemma zenon_L275_ *)
% 33.97/34.13 assert (zenon_L276_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e1) (e4)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> ((op (unit) (e3)) = (e3)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e4) (e3)) = (e2)) -> False).
% 33.97/34.13 do 0 intro. intros zenon_H3b zenon_H113 zenon_H2c zenon_H112 zenon_H61 zenon_H8e zenon_H5f zenon_H68 zenon_H60 zenon_H20 zenon_H91 zenon_Hc zenon_H92.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.97/34.13 apply (zenon_L169_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.97/34.13 apply (zenon_L24_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.97/34.13 apply (zenon_L42_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.97/34.13 apply (zenon_L26_); trivial.
% 33.97/34.13 apply (zenon_L44_); trivial.
% 33.97/34.13 (* end of lemma zenon_L276_ *)
% 33.97/34.13 assert (zenon_L277_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> ((op (e1) (unit)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e3) (e4)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e3)) = (e2))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e4) (e2)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> False).
% 33.97/34.13 do 0 intro. intros zenon_He0 zenon_H2c zenon_H17 zenon_H2d zenon_H18 zenon_Hb zenon_H172 zenon_H49 zenon_H34 zenon_H16 zenon_H87 zenon_H83 zenon_H5f zenon_H81 zenon_H7b zenon_H89 zenon_H57 zenon_H58 zenon_H6e zenon_H77 zenon_H73 zenon_H61 zenon_H68 zenon_H88 zenon_He1 zenon_H3b zenon_Hc8 zenon_H32 zenon_H22 zenon_H20 zenon_H1f zenon_Hc9 zenon_H99 zenon_H91 zenon_Hc.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.97/34.13 apply (zenon_L12_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.97/34.13 apply (zenon_L244_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.97/34.13 apply (zenon_L41_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.97/34.13 exact (zenon_He1 zenon_He5).
% 33.97/34.13 apply (zenon_L73_); trivial.
% 33.97/34.13 (* end of lemma zenon_L277_ *)
% 33.97/34.13 assert (zenon_L278_ : (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((op (unit) (e0)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e4) (e4)) = (e2))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> ((op (e4) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e3) (e4)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e4))) -> False).
% 33.97/34.13 do 0 intro. intros zenon_Hd9 zenon_H42 zenon_H15d zenon_H17d zenon_H51 zenon_Hc3 zenon_H9b zenon_He8 zenon_Hb6 zenon_Hb9 zenon_Haa zenon_H92 zenon_Ha1 zenon_Hc2 zenon_Hc zenon_H1f zenon_H20 zenon_H22 zenon_H32 zenon_Hc8 zenon_He1 zenon_H88 zenon_H68 zenon_H61 zenon_H73 zenon_H77 zenon_H6e zenon_H89 zenon_H7b zenon_H81 zenon_H5f zenon_H83 zenon_H87 zenon_H16 zenon_H34 zenon_H49 zenon_H172 zenon_Hb zenon_H18 zenon_H2d zenon_H17 zenon_H2c zenon_He0 zenon_Hd4 zenon_Hd3 zenon_H58 zenon_Hba zenon_H57 zenon_H91 zenon_H99 zenon_Hb1 zenon_Hcc zenon_H3b zenon_Hda.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H9a | zenon_intro zenon_Hdb ].
% 33.97/34.13 apply (zenon_L267_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hdc ].
% 33.97/34.13 apply (zenon_L129_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ].
% 33.97/34.13 apply (zenon_L277_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ].
% 33.97/34.13 apply (zenon_L81_); trivial.
% 33.97/34.13 exact (zenon_Hda zenon_Hde).
% 33.97/34.13 (* end of lemma zenon_L278_ *)
% 33.97/34.13 assert (zenon_L279_ : (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((e1) = (e3))) -> (~((op (e4) (e4)) = (e4))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> ((op (e1) (unit)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e2)) = (e2)) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> ((op (e4) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e4)) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e4)) = (e1))) -> False).
% 33.97/34.13 do 0 intro. intros zenon_H175 zenon_H166 zenon_H60 zenon_H8e zenon_H112 zenon_H16d zenon_Hda zenon_H3b zenon_Hcc zenon_Hb1 zenon_H99 zenon_H91 zenon_H57 zenon_Hba zenon_H58 zenon_Hd3 zenon_Hd4 zenon_He0 zenon_H2c zenon_H17 zenon_H2d zenon_H18 zenon_Hb zenon_H49 zenon_H34 zenon_H16 zenon_H87 zenon_H83 zenon_H5f zenon_H81 zenon_H7b zenon_H89 zenon_H6e zenon_H77 zenon_H73 zenon_H61 zenon_H68 zenon_H88 zenon_He1 zenon_Hc8 zenon_H32 zenon_H22 zenon_H20 zenon_H1f zenon_Hc zenon_Hc2 zenon_Ha1 zenon_H92 zenon_Haa zenon_Hb9 zenon_Hb6 zenon_He8 zenon_H9b zenon_Hc3 zenon_H51 zenon_H17d zenon_H15d zenon_H42 zenon_Hd9 zenon_H144.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H169 | zenon_intro zenon_H176 ].
% 33.97/34.13 apply (zenon_L275_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H113 | zenon_intro zenon_H177 ].
% 33.97/34.13 apply (zenon_L276_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H16c | zenon_intro zenon_H178 ].
% 33.97/34.13 apply (zenon_L241_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H172 | zenon_intro zenon_H142 ].
% 33.97/34.13 apply (zenon_L278_); trivial.
% 33.97/34.13 exact (zenon_H144 zenon_H142).
% 33.97/34.13 (* end of lemma zenon_L279_ *)
% 33.97/34.13 assert (zenon_L280_ : (~((op (e4) (e4)) = (e1))) -> ((op (unit) (e0)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e4) (e4)) = (e2))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (e3)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e4)) = (e4))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e3) (e3)) = (e3))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.97/34.13 do 0 intro. intros zenon_H144 zenon_H42 zenon_H15d zenon_H17d zenon_H51 zenon_He8 zenon_He1 zenon_H88 zenon_H68 zenon_H6e zenon_H49 zenon_Hb zenon_He0 zenon_H16d zenon_H112 zenon_H166 zenon_H175 zenon_H73 zenon_Hbb zenon_H61 zenon_Hc3 zenon_Hd9 zenon_H8e zenon_H9f zenon_H9b zenon_H92 zenon_Hc zenon_H1f zenon_H22 zenon_Hc8 zenon_Hd4 zenon_Hd3 zenon_H58 zenon_Hba zenon_H57 zenon_H91 zenon_H99 zenon_Hb1 zenon_Hcc zenon_Hda zenon_Hb6 zenon_Hb9 zenon_H77 zenon_Haa zenon_Ha1 zenon_H18 zenon_H2d zenon_H17 zenon_H2c zenon_Hc2 zenon_H89 zenon_H3b zenon_H7b zenon_H81 zenon_H5f zenon_H83 zenon_H20 zenon_H87 zenon_H32 zenon_H16 zenon_H34.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H60 | zenon_intro zenon_H8a ].
% 33.97/34.13 apply (zenon_L279_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ].
% 33.97/34.13 apply (zenon_L82_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H8c ].
% 33.97/34.13 apply (zenon_L92_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H8d | zenon_intro zenon_H7c ].
% 33.97/34.13 exact (zenon_H89 zenon_H8d).
% 33.97/34.13 apply (zenon_L40_); trivial.
% 33.97/34.13 (* end of lemma zenon_L280_ *)
% 33.97/34.13 assert (zenon_L281_ : (~((op (e4) (e4)) = (e0))) -> (~((e0) = (e3))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e4) (e4)) = (e1))) -> ((op (unit) (e0)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e4) (e4)) = (e2))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e4)) = (e4))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e3) (e3)) = (e3))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.97/34.13 do 0 intro. intros zenon_H13c zenon_H18a zenon_H11f zenon_H115 zenon_H163 zenon_H18f zenon_H116 zenon_H144 zenon_H42 zenon_H15d zenon_H17d zenon_H51 zenon_He8 zenon_He1 zenon_H88 zenon_H68 zenon_H6e zenon_H49 zenon_Hb zenon_He0 zenon_H16d zenon_H112 zenon_H166 zenon_H175 zenon_H73 zenon_Hbb zenon_H61 zenon_Hc3 zenon_Hd9 zenon_H8e zenon_H9f zenon_H9b zenon_Hc zenon_H1f zenon_H22 zenon_Hc8 zenon_Hd4 zenon_Hd3 zenon_H58 zenon_Hba zenon_H57 zenon_H91 zenon_H99 zenon_Hb1 zenon_Hcc zenon_Hda zenon_Hb6 zenon_Hb9 zenon_H77 zenon_Haa zenon_Ha1 zenon_H18 zenon_H2d zenon_H17 zenon_H2c zenon_Hc2 zenon_H89 zenon_H3b zenon_H7b zenon_H81 zenon_H5f zenon_H83 zenon_H20 zenon_H87 zenon_H32 zenon_H16 zenon_H34.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.97/34.13 apply (zenon_L12_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.97/34.13 apply (zenon_L274_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.97/34.13 apply (zenon_L41_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.97/34.13 exact (zenon_He1 zenon_He5).
% 33.97/34.13 apply (zenon_L280_); trivial.
% 33.97/34.13 (* end of lemma zenon_L281_ *)
% 33.97/34.13 assert (zenon_L282_ : (~((op (e2) (e1)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> ((op (e2) (e1)) = (e3)) -> False).
% 33.97/34.13 do 0 intro. intros zenon_Hb9 zenon_H22 zenon_H193.
% 33.97/34.13 cut (((e3) = (op (e2) (e4))) = ((op (e2) (e1)) = (op (e2) (e4)))).
% 33.97/34.13 intro zenon_D_pnotp.
% 33.97/34.13 apply zenon_Hb9.
% 33.97/34.13 rewrite <- zenon_D_pnotp.
% 33.97/34.13 exact zenon_H22.
% 33.97/34.13 cut (((op (e2) (e4)) = (op (e2) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H194].
% 33.97/34.13 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H195].
% 33.97/34.13 congruence.
% 33.97/34.13 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H70 | zenon_intro zenon_H71 ].
% 33.97/34.13 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((e3) = (op (e2) (e1)))).
% 33.97/34.13 intro zenon_D_pnotp.
% 33.97/34.13 apply zenon_H195.
% 33.97/34.13 rewrite <- zenon_D_pnotp.
% 33.97/34.13 exact zenon_H70.
% 33.97/34.13 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 33.97/34.13 cut (((op (e2) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H196].
% 33.97/34.13 congruence.
% 33.97/34.13 exact (zenon_H196 zenon_H193).
% 33.97/34.13 apply zenon_H71. apply refl_equal.
% 33.97/34.13 apply zenon_H71. apply refl_equal.
% 33.97/34.13 apply zenon_H194. apply refl_equal.
% 33.97/34.13 (* end of lemma zenon_L282_ *)
% 33.97/34.13 assert (zenon_L283_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e0) (e4)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.97/34.13 do 0 intro. intros zenon_H3b zenon_Ha2 zenon_Hc zenon_Ha1 zenon_H18 zenon_H22 zenon_H20 zenon_H1f zenon_H2d zenon_H17 zenon_H2c zenon_H32 zenon_H16 zenon_H34.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.97/34.13 apply (zenon_L52_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.97/34.13 apply (zenon_L6_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.97/34.13 apply (zenon_L8_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.97/34.13 apply (zenon_L10_); trivial.
% 33.97/34.13 apply (zenon_L11_); trivial.
% 33.97/34.13 (* end of lemma zenon_L283_ *)
% 33.97/34.13 assert (zenon_L284_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> ((op (e1) (e4)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e3) (e4)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e4) (e3)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> False).
% 33.97/34.13 do 0 intro. intros zenon_H3b zenon_Hcc zenon_Hab zenon_Hc zenon_Haa zenon_H99 zenon_H91 zenon_H18d zenon_H42 zenon_H7b zenon_Hd3 zenon_Hcd zenon_Hd4.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.97/34.13 apply (zenon_L74_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.97/34.13 apply (zenon_L56_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.97/34.13 apply (zenon_L76_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.97/34.13 apply (zenon_L270_); trivial.
% 33.97/34.13 apply (zenon_L80_); trivial.
% 33.97/34.13 (* end of lemma zenon_L284_ *)
% 33.97/34.13 assert (zenon_L285_ : (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e4)) = (e1))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> ((op (unit) (e0)) = (e0)) -> ((op (e3) (e4)) = (e0)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e1) (e4)) = (e2)) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e4))) -> False).
% 33.97/34.13 do 0 intro. intros zenon_Hd9 zenon_H72 zenon_H73 zenon_H5f zenon_H9f zenon_H61 zenon_He8 zenon_H18 zenon_H9b zenon_H144 zenon_Hc8 zenon_H4a zenon_H49 zenon_H22 zenon_H20 zenon_H1f zenon_H81 zenon_H32 zenon_H16 zenon_H34 zenon_H16d zenon_H112 zenon_H115 zenon_H2c zenon_H116 zenon_H166 zenon_H2d zenon_H17 zenon_H175 zenon_Hd4 zenon_Hd3 zenon_H7b zenon_H42 zenon_H18d zenon_H91 zenon_H99 zenon_Haa zenon_Hc zenon_Hab zenon_Hcc zenon_H3b zenon_Hda.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H9a | zenon_intro zenon_Hdb ].
% 33.97/34.13 apply (zenon_L51_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hdc ].
% 33.97/34.13 apply (zenon_L271_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ].
% 33.97/34.13 apply (zenon_L245_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ].
% 33.97/34.13 apply (zenon_L284_); trivial.
% 33.97/34.13 exact (zenon_Hda zenon_Hde).
% 33.97/34.13 (* end of lemma zenon_L285_ *)
% 33.97/34.13 assert (zenon_L286_ : (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> ((op (unit) (e0)) = (e0)) -> ((op (e3) (e4)) = (e0)) -> ((op (unit) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e3) (e4)) = (e2)) -> ((op (e3) (unit)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e4))) -> False).
% 33.97/34.13 do 0 intro. intros zenon_Hd9 zenon_H34 zenon_H20 zenon_H73 zenon_H61 zenon_He8 zenon_H7b zenon_H42 zenon_H18d zenon_H16 zenon_H17 zenon_H18 zenon_H9b zenon_He9 zenon_H83 zenon_Hc zenon_Hbf zenon_H5f zenon_H72 zenon_H9f zenon_H32 zenon_Hc8 zenon_Hd4 zenon_Hd3 zenon_H58 zenon_Hba zenon_H57 zenon_H91 zenon_H99 zenon_Hb1 zenon_Hcc zenon_H3b zenon_Hda.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H9a | zenon_intro zenon_Hdb ].
% 33.97/34.13 apply (zenon_L51_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hdc ].
% 33.97/34.13 apply (zenon_L271_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ].
% 33.97/34.13 apply (zenon_L197_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ].
% 33.97/34.13 apply (zenon_L81_); trivial.
% 33.97/34.13 exact (zenon_Hda zenon_Hde).
% 33.97/34.13 (* end of lemma zenon_L286_ *)
% 33.97/34.13 assert (zenon_L287_ : (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((e0) = (e3))) -> ((e3) = (op (e2) (e4))) -> (~((op (e4) (e4)) = (e4))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> ((op (e3) (e4)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (unit) (e3)) = (e3)) -> ((e1) = (op (e4) (e2))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e4)) = (e0))) -> False).
% 33.97/34.13 do 0 intro. intros zenon_H18f zenon_H2c zenon_H2d zenon_H1f zenon_H49 zenon_H4a zenon_H163 zenon_H115 zenon_H11f zenon_H18a zenon_H22 zenon_Hda zenon_H3b zenon_Hcc zenon_Hb1 zenon_H99 zenon_H91 zenon_H57 zenon_Hba zenon_H58 zenon_Hd3 zenon_Hd4 zenon_Hc8 zenon_H32 zenon_H9f zenon_H72 zenon_H5f zenon_Hbf zenon_Hc zenon_H83 zenon_He9 zenon_H9b zenon_H18 zenon_H17 zenon_H16 zenon_H42 zenon_H7b zenon_He8 zenon_H61 zenon_H73 zenon_H20 zenon_H34 zenon_Hd9 zenon_H13c.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H164 | zenon_intro zenon_H190 ].
% 33.97/34.13 apply (zenon_L255_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H183 | zenon_intro zenon_H191 ].
% 33.97/34.13 apply (zenon_L268_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H189 | zenon_intro zenon_H192 ].
% 33.97/34.13 apply (zenon_L269_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H18d | zenon_intro zenon_H140 ].
% 33.97/34.13 apply (zenon_L286_); trivial.
% 33.97/34.13 exact (zenon_H13c zenon_H140).
% 33.97/34.13 (* end of lemma zenon_L287_ *)
% 33.97/34.13 assert (zenon_L288_ : (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> ((op (e3) (e4)) = (e0)) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e4) (e4)) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e4) (e4)) = (e0))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> ((op (unit) (e0)) = (e0)) -> ((op (unit) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e3) (unit)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e4))) -> ((e3) = (op (e2) (e4))) -> (~((e0) = (e3))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (~((op (e4) (e4)) = (e2))) -> False).
% 33.97/34.13 do 0 intro. intros zenon_Hc2 zenon_Ha1 zenon_Haa zenon_H18d zenon_H175 zenon_H166 zenon_H116 zenon_H112 zenon_H16d zenon_H81 zenon_H144 zenon_Hb9 zenon_Hb6 zenon_H13c zenon_Hd9 zenon_H34 zenon_H20 zenon_H73 zenon_H61 zenon_He8 zenon_H7b zenon_H42 zenon_H16 zenon_H17 zenon_H18 zenon_H9b zenon_He9 zenon_H83 zenon_Hc zenon_H5f zenon_H72 zenon_H9f zenon_H32 zenon_Hc8 zenon_Hd4 zenon_Hd3 zenon_H58 zenon_Hba zenon_H57 zenon_H91 zenon_H99 zenon_Hb1 zenon_Hcc zenon_H3b zenon_Hda zenon_H22 zenon_H18a zenon_H11f zenon_H115 zenon_H163 zenon_H4a zenon_H49 zenon_H1f zenon_H2d zenon_H2c zenon_H18f zenon_Hc3.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc4 ].
% 33.97/34.13 apply (zenon_L283_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hab | zenon_intro zenon_Hc5 ].
% 33.97/34.13 apply (zenon_L285_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc6 ].
% 33.97/34.13 apply (zenon_L126_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hc7 ].
% 33.97/34.13 apply (zenon_L287_); trivial.
% 33.97/34.13 exact (zenon_Hc3 zenon_Hc7).
% 33.97/34.13 (* end of lemma zenon_L288_ *)
% 33.97/34.13 assert (zenon_L289_ : (~((op (e4) (e4)) = (e2))) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((e0) = (e3))) -> ((e3) = (op (e2) (e4))) -> (~((op (e4) (e4)) = (e4))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (unit) (e3)) = (e3)) -> ((e1) = (op (e4) (e2))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e4) (e4)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e4) (e4)) = (e0))) -> False).
% 33.97/34.13 do 0 intro. intros zenon_Hc3 zenon_H18f zenon_H2c zenon_H2d zenon_H1f zenon_H49 zenon_H4a zenon_H163 zenon_H115 zenon_H11f zenon_H18a zenon_H22 zenon_Hda zenon_H3b zenon_Hcc zenon_Hb1 zenon_H99 zenon_H91 zenon_H57 zenon_Hba zenon_H58 zenon_Hd3 zenon_Hd4 zenon_Hc8 zenon_H32 zenon_H9f zenon_H72 zenon_H5f zenon_Hc zenon_H83 zenon_He9 zenon_H9b zenon_H18 zenon_H17 zenon_H16 zenon_H42 zenon_H7b zenon_He8 zenon_H61 zenon_H73 zenon_H20 zenon_H34 zenon_Hd9 zenon_Hb6 zenon_Hb9 zenon_H144 zenon_H81 zenon_H16d zenon_H112 zenon_H116 zenon_H166 zenon_H175 zenon_Haa zenon_Ha1 zenon_Hc2 zenon_H13c.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H164 | zenon_intro zenon_H190 ].
% 33.97/34.13 apply (zenon_L255_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H183 | zenon_intro zenon_H191 ].
% 33.97/34.13 apply (zenon_L268_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H189 | zenon_intro zenon_H192 ].
% 33.97/34.13 apply (zenon_L269_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H18d | zenon_intro zenon_H140 ].
% 33.97/34.13 apply (zenon_L288_); trivial.
% 33.97/34.13 exact (zenon_H13c zenon_H140).
% 33.97/34.13 (* end of lemma zenon_L289_ *)
% 33.97/34.13 assert (zenon_L290_ : ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e4)) = (e1))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (~((op (e4) (e4)) = (e0))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e4)) = (e2))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((e0) = (e3))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> False).
% 33.97/34.13 do 0 intro. intros zenon_Hea zenon_He6 zenon_H3b zenon_H34 zenon_H32 zenon_H2c zenon_H2d zenon_H22 zenon_H20 zenon_H1f zenon_H17 zenon_H16 zenon_H18 zenon_Hc zenon_Hb zenon_Ha1 zenon_Hd9 zenon_Hcc zenon_Haa zenon_H91 zenon_Hd4 zenon_H166 zenon_H116 zenon_H112 zenon_H16d zenon_H81 zenon_Hc8 zenon_H144 zenon_H175 zenon_H7b zenon_He8 zenon_Hd3 zenon_H61 zenon_H5f zenon_H72 zenon_H9b zenon_H99 zenon_H9f zenon_H73 zenon_Hb9 zenon_H58 zenon_Hb6 zenon_H18f zenon_H13c zenon_He9 zenon_H83 zenon_Hba zenon_H57 zenon_Hb1 zenon_Hc3 zenon_Hc2 zenon_H18a zenon_H11f zenon_H115 zenon_H163 zenon_H42 zenon_H49 zenon_H88 zenon_H87 zenon_H89 zenon_H77 zenon_H6e zenon_H68 zenon_He1 zenon_Hbb zenon_He0.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hda | zenon_intro zenon_Hde ].
% 33.97/34.13 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.97/34.13 apply (zenon_L12_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.97/34.13 apply (zenon_L289_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.97/34.13 apply (zenon_L41_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.97/34.13 exact (zenon_He1 zenon_He5).
% 33.97/34.13 apply (zenon_L82_); trivial.
% 33.97/34.13 apply (zenon_L99_); trivial.
% 33.97/34.13 (* end of lemma zenon_L290_ *)
% 33.97/34.13 assert (zenon_L291_ : (~((op (e1) (op (e1) (e0))) = (e0))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> False).
% 33.97/34.13 do 0 intro. intros zenon_H197 zenon_H15d zenon_H17.
% 33.97/34.13 cut (((op (e1) (e1)) = (e0)) = ((op (e1) (op (e1) (e0))) = (e0))).
% 33.97/34.13 intro zenon_D_pnotp.
% 33.97/34.13 apply zenon_H197.
% 33.97/34.13 rewrite <- zenon_D_pnotp.
% 33.97/34.13 exact zenon_H15d.
% 33.97/34.13 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 33.97/34.13 cut (((op (e1) (e1)) = (op (e1) (op (e1) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H198].
% 33.97/34.13 congruence.
% 33.97/34.13 elim (classic ((op (e1) (op (e1) (e0))) = (op (e1) (op (e1) (e0))))); [ zenon_intro zenon_H199 | zenon_intro zenon_H19a ].
% 33.97/34.13 cut (((op (e1) (op (e1) (e0))) = (op (e1) (op (e1) (e0)))) = ((op (e1) (e1)) = (op (e1) (op (e1) (e0))))).
% 33.97/34.13 intro zenon_D_pnotp.
% 33.97/34.13 apply zenon_H198.
% 33.97/34.13 rewrite <- zenon_D_pnotp.
% 33.97/34.13 exact zenon_H199.
% 33.97/34.13 cut (((op (e1) (op (e1) (e0))) = (op (e1) (op (e1) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 33.97/34.13 cut (((op (e1) (op (e1) (e0))) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H19b].
% 33.97/34.13 congruence.
% 33.97/34.13 cut (((op (e1) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H19c].
% 33.97/34.13 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 33.97/34.13 congruence.
% 33.97/34.13 apply zenon_H12. apply refl_equal.
% 33.97/34.13 exact (zenon_H19c zenon_H17).
% 33.97/34.13 apply zenon_H19a. apply refl_equal.
% 33.97/34.13 apply zenon_H19a. apply refl_equal.
% 33.97/34.13 apply zenon_H3f. apply refl_equal.
% 33.97/34.13 (* end of lemma zenon_L291_ *)
% 33.97/34.13 assert (zenon_L292_ : (~((op (e2) (op (e2) (e0))) = (e0))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e0)) = (e2)) -> False).
% 33.97/34.13 do 0 intro. intros zenon_H19d zenon_H132 zenon_Hba.
% 33.97/34.13 cut (((op (e2) (e2)) = (e0)) = ((op (e2) (op (e2) (e0))) = (e0))).
% 33.97/34.13 intro zenon_D_pnotp.
% 33.97/34.13 apply zenon_H19d.
% 33.97/34.13 rewrite <- zenon_D_pnotp.
% 33.97/34.13 exact zenon_H132.
% 33.97/34.13 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 33.97/34.13 cut (((op (e2) (e2)) = (op (e2) (op (e2) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H19e].
% 33.97/34.13 congruence.
% 33.97/34.13 elim (classic ((op (e2) (op (e2) (e0))) = (op (e2) (op (e2) (e0))))); [ zenon_intro zenon_H19f | zenon_intro zenon_H1a0 ].
% 33.97/34.13 cut (((op (e2) (op (e2) (e0))) = (op (e2) (op (e2) (e0)))) = ((op (e2) (e2)) = (op (e2) (op (e2) (e0))))).
% 33.97/34.13 intro zenon_D_pnotp.
% 33.97/34.13 apply zenon_H19e.
% 33.97/34.13 rewrite <- zenon_D_pnotp.
% 33.97/34.13 exact zenon_H19f.
% 33.97/34.13 cut (((op (e2) (op (e2) (e0))) = (op (e2) (op (e2) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1a0].
% 33.97/34.13 cut (((op (e2) (op (e2) (e0))) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1a1].
% 33.97/34.13 congruence.
% 33.97/34.13 cut (((op (e2) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1a2].
% 33.97/34.13 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 33.97/34.13 congruence.
% 33.97/34.13 apply zenon_H7. apply refl_equal.
% 33.97/34.13 exact (zenon_H1a2 zenon_Hba).
% 33.97/34.13 apply zenon_H1a0. apply refl_equal.
% 33.97/34.13 apply zenon_H1a0. apply refl_equal.
% 33.97/34.13 apply zenon_H3f. apply refl_equal.
% 33.97/34.13 (* end of lemma zenon_L292_ *)
% 33.97/34.13 assert (zenon_L293_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e2)) = (e4)))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e4))) -> False).
% 33.97/34.13 do 0 intro. intros zenon_H1a3 zenon_Hba zenon_H19d zenon_H1a4 zenon_Hf7 zenon_H1a5 zenon_H1a6.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H132 | zenon_intro zenon_H1a7 ].
% 33.97/34.13 apply (zenon_L292_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1a8 ].
% 33.97/34.13 exact (zenon_H1a4 zenon_H1a9).
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hfb | zenon_intro zenon_H1aa ].
% 33.97/34.13 exact (zenon_Hf7 zenon_Hfb).
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1ab ].
% 33.97/34.13 exact (zenon_H1a5 zenon_H1ac).
% 33.97/34.13 exact (zenon_H1a6 zenon_H1ab).
% 33.97/34.13 (* end of lemma zenon_L293_ *)
% 33.97/34.13 assert (zenon_L294_ : ((~((op (e2) (op (e2) (e0))) = (e0)))/\((op (e0) (op (e2) (e0))) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e4))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e2)) = (e4)))))) -> False).
% 33.97/34.13 do 0 intro. intros zenon_H1ad zenon_Hba zenon_H1a4 zenon_Hf7 zenon_H1a5 zenon_H1a6 zenon_H1a3.
% 33.97/34.13 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19d. zenon_intro zenon_H1ae.
% 33.97/34.13 apply (zenon_L293_); trivial.
% 33.97/34.13 (* end of lemma zenon_L294_ *)
% 33.97/34.13 assert (zenon_L295_ : (~((op (e3) (op (e3) (e0))) = (e0))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e0)) = (e3)) -> False).
% 33.97/34.13 do 0 intro. intros zenon_H1af zenon_H1b0 zenon_H60.
% 33.97/34.13 cut (((op (e3) (e3)) = (e0)) = ((op (e3) (op (e3) (e0))) = (e0))).
% 33.97/34.13 intro zenon_D_pnotp.
% 33.97/34.13 apply zenon_H1af.
% 33.97/34.13 rewrite <- zenon_D_pnotp.
% 33.97/34.13 exact zenon_H1b0.
% 33.97/34.13 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 33.97/34.13 cut (((op (e3) (e3)) = (op (e3) (op (e3) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1b1].
% 33.97/34.13 congruence.
% 33.97/34.13 elim (classic ((op (e3) (op (e3) (e0))) = (op (e3) (op (e3) (e0))))); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1b3 ].
% 33.97/34.13 cut (((op (e3) (op (e3) (e0))) = (op (e3) (op (e3) (e0)))) = ((op (e3) (e3)) = (op (e3) (op (e3) (e0))))).
% 33.97/34.13 intro zenon_D_pnotp.
% 33.97/34.13 apply zenon_H1b1.
% 33.97/34.13 rewrite <- zenon_D_pnotp.
% 33.97/34.13 exact zenon_H1b2.
% 33.97/34.13 cut (((op (e3) (op (e3) (e0))) = (op (e3) (op (e3) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1b3].
% 33.97/34.13 cut (((op (e3) (op (e3) (e0))) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1b4].
% 33.97/34.13 congruence.
% 33.97/34.13 cut (((op (e3) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1b5].
% 33.97/34.13 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 33.97/34.13 congruence.
% 33.97/34.13 apply zenon_H1e. apply refl_equal.
% 33.97/34.13 exact (zenon_H1b5 zenon_H60).
% 33.97/34.13 apply zenon_H1b3. apply refl_equal.
% 33.97/34.13 apply zenon_H1b3. apply refl_equal.
% 33.97/34.13 apply zenon_H3f. apply refl_equal.
% 33.97/34.13 (* end of lemma zenon_L295_ *)
% 33.97/34.13 assert (zenon_L296_ : ((~((op (e3) (op (e3) (e0))) = (e0)))/\((op (e0) (op (e3) (e0))) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e4))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e3)) = (e4)))))) -> False).
% 33.97/34.13 do 0 intro. intros zenon_H1b6 zenon_H60 zenon_H1b7 zenon_He1 zenon_H89 zenon_H1b8 zenon_H1b9.
% 33.97/34.13 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H1af. zenon_intro zenon_H1ba.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1bb ].
% 33.97/34.13 apply (zenon_L295_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1bd | zenon_intro zenon_H1bc ].
% 33.97/34.13 exact (zenon_H1b7 zenon_H1bd).
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_He5 | zenon_intro zenon_H1be ].
% 33.97/34.13 exact (zenon_He1 zenon_He5).
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H8d | zenon_intro zenon_H1bf ].
% 33.97/34.13 exact (zenon_H89 zenon_H8d).
% 33.97/34.13 exact (zenon_H1b8 zenon_H1bf).
% 33.97/34.13 (* end of lemma zenon_L296_ *)
% 33.97/34.13 assert (zenon_L297_ : (~((op (e4) (op (e4) (e0))) = (e0))) -> ((op (e4) (e4)) = (e0)) -> ((op (e4) (e0)) = (e4)) -> False).
% 33.97/34.13 do 0 intro. intros zenon_H1c0 zenon_H140 zenon_H9a.
% 33.97/34.13 cut (((op (e4) (e4)) = (e0)) = ((op (e4) (op (e4) (e0))) = (e0))).
% 33.97/34.13 intro zenon_D_pnotp.
% 33.97/34.13 apply zenon_H1c0.
% 33.97/34.13 rewrite <- zenon_D_pnotp.
% 33.97/34.13 exact zenon_H140.
% 33.97/34.13 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 33.97/34.13 cut (((op (e4) (e4)) = (op (e4) (op (e4) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1c1].
% 33.97/34.13 congruence.
% 33.97/34.13 elim (classic ((op (e4) (op (e4) (e0))) = (op (e4) (op (e4) (e0))))); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1c3 ].
% 33.97/34.13 cut (((op (e4) (op (e4) (e0))) = (op (e4) (op (e4) (e0)))) = ((op (e4) (e4)) = (op (e4) (op (e4) (e0))))).
% 33.97/34.13 intro zenon_D_pnotp.
% 33.97/34.13 apply zenon_H1c1.
% 33.97/34.13 rewrite <- zenon_D_pnotp.
% 33.97/34.13 exact zenon_H1c2.
% 33.97/34.13 cut (((op (e4) (op (e4) (e0))) = (op (e4) (op (e4) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1c3].
% 33.97/34.13 cut (((op (e4) (op (e4) (e0))) = (op (e4) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H1c4].
% 33.97/34.13 congruence.
% 33.97/34.13 cut (((op (e4) (e0)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H1c5].
% 33.97/34.13 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 33.97/34.13 congruence.
% 33.97/34.13 apply zenon_H97. apply refl_equal.
% 33.97/34.13 exact (zenon_H1c5 zenon_H9a).
% 33.97/34.13 apply zenon_H1c3. apply refl_equal.
% 33.97/34.13 apply zenon_H1c3. apply refl_equal.
% 33.97/34.13 apply zenon_H3f. apply refl_equal.
% 33.97/34.13 (* end of lemma zenon_L297_ *)
% 33.97/34.13 assert (zenon_L298_ : (((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4)))))) -> ((op (e4) (e0)) = (e4)) -> (~((op (e4) (op (e4) (e0))) = (e0))) -> (~((op (e4) (e4)) = (e1))) -> (~((op (e4) (e4)) = (e2))) -> (~((op (e4) (e4)) = (e3))) -> (~((op (e4) (e4)) = (e4))) -> False).
% 33.97/34.13 do 0 intro. intros zenon_H13e zenon_H9a zenon_H1c0 zenon_H144 zenon_Hc3 zenon_H13d zenon_Hda.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H140 | zenon_intro zenon_H13f ].
% 33.97/34.13 apply (zenon_L297_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ].
% 33.97/34.13 exact (zenon_H144 zenon_H142).
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H145 ].
% 33.97/34.13 exact (zenon_Hc3 zenon_Hc7).
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H146 | zenon_intro zenon_Hde ].
% 33.97/34.13 exact (zenon_H13d zenon_H146).
% 33.97/34.13 exact (zenon_Hda zenon_Hde).
% 33.97/34.13 (* end of lemma zenon_L298_ *)
% 33.97/34.13 assert (zenon_L299_ : ((~((op (e4) (op (e4) (e0))) = (e0)))/\((op (e0) (op (e4) (e0))) = (e4))) -> ((op (e4) (e0)) = (e4)) -> (~((op (e4) (e4)) = (e1))) -> (~((op (e4) (e4)) = (e2))) -> (~((op (e4) (e4)) = (e3))) -> (~((op (e4) (e4)) = (e4))) -> (((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4)))))) -> False).
% 33.97/34.13 do 0 intro. intros zenon_H1c6 zenon_H9a zenon_H144 zenon_Hc3 zenon_H13d zenon_Hda zenon_H13e.
% 33.97/34.13 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1c0. zenon_intro zenon_H1c7.
% 33.97/34.13 apply (zenon_L298_); trivial.
% 33.97/34.13 (* end of lemma zenon_L299_ *)
% 33.97/34.13 assert (zenon_L300_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> ((op (e4) (e0)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> ((op (unit) (e4)) = (e4)) -> ((op (e4) (e3)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> False).
% 33.97/34.13 do 0 intro. intros zenon_H3b zenon_H9b zenon_Hc8 zenon_Hcc zenon_H9a zenon_H99 zenon_Hd3 zenon_Hcd zenon_Hd4.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.97/34.13 apply (zenon_L74_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.97/34.13 apply (zenon_L49_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.97/34.13 apply (zenon_L84_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.97/34.13 apply (zenon_L103_); trivial.
% 33.97/34.13 apply (zenon_L80_); trivial.
% 33.97/34.13 (* end of lemma zenon_L300_ *)
% 33.97/34.13 assert (zenon_L301_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (e0)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> ((op (unit) (e4)) = (e4)) -> ((op (e4) (e2)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> False).
% 33.97/34.13 do 0 intro. intros zenon_H3b zenon_H32 zenon_Hc8 zenon_H9a zenon_H91 zenon_H99 zenon_Hd3 zenon_Hc9 zenon_He9.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.97/34.13 apply (zenon_L70_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.97/34.13 apply (zenon_L71_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.97/34.13 apply (zenon_L84_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.97/34.13 apply (zenon_L72_); trivial.
% 33.97/34.13 apply (zenon_L108_); trivial.
% 33.97/34.13 (* end of lemma zenon_L301_ *)
% 33.97/34.13 assert (zenon_L302_ : ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e0) (unit)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e4) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e3) (e1)) = (e0))\/((op (e4) (e1)) = (e0)))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e4))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e2)) = (e4)))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e4))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e3)) = (e4)))))) -> ((op (e4) (e0)) = (e4)) -> (~((op (e4) (e4)) = (e1))) -> (((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4)))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((op (e0) (op (e0) (e0))) = (e0)))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((op (e0) (op (e1) (e0))) = (e1)))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((op (e0) (op (e2) (e0))) = (e2)))\/(((~((op (e3) (op (e3) (e0))) = (e0)))/\((op (e0) (op (e3) (e0))) = (e3)))\/((~((op (e4) (op (e4) (e0))) = (e0)))/\((op (e0) (op (e4) (e0))) = (e4))))))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> ((~((op (e4) (e4)) = (e3)))\/((op (e4) (e3)) = (e4))) -> False).
% 33.97/34.13 do 0 intro. intros zenon_Hef zenon_H91 zenon_Hea zenon_He6 zenon_H99 zenon_He8 zenon_He9 zenon_Hd4 zenon_H3b zenon_H34 zenon_H16 zenon_H32 zenon_H51 zenon_H22 zenon_H20 zenon_H1f zenon_H179 zenon_H50 zenon_H42 zenon_H41 zenon_H17 zenon_H14b zenon_H11f zenon_H150 zenon_H155 zenon_H159 zenon_Hba zenon_H1a4 zenon_Hf7 zenon_H1a5 zenon_H1a6 zenon_H1a3 zenon_H60 zenon_H1b7 zenon_He1 zenon_H89 zenon_H1b8 zenon_H1b9 zenon_H9a zenon_H144 zenon_H13e zenon_H1c8 zenon_Hd3 zenon_Hc8 zenon_H9b zenon_Hcc zenon_H147.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc9 ].
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13d | zenon_intro zenon_Hcd ].
% 33.97/34.13 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hda | zenon_intro zenon_Hde ].
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1c9 ].
% 33.97/34.13 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H1cc. zenon_intro zenon_H1cb.
% 33.97/34.13 exact (zenon_H1cc zenon_H1cb).
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1cd ].
% 33.97/34.13 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H197. zenon_intro zenon_H1cf.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H43 | zenon_intro zenon_H15b ].
% 33.97/34.13 apply (zenon_L262_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H15d | zenon_intro zenon_H15c ].
% 33.97/34.13 apply (zenon_L291_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H14a | zenon_intro zenon_H15e ].
% 33.97/34.13 apply (zenon_L217_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 33.97/34.13 apply (zenon_L218_); trivial.
% 33.97/34.13 apply (zenon_L219_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1d0 ].
% 33.97/34.13 apply (zenon_L294_); trivial.
% 33.97/34.13 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1c6 ].
% 33.97/34.13 apply (zenon_L296_); trivial.
% 33.97/34.13 apply (zenon_L299_); trivial.
% 33.97/34.13 apply (zenon_L99_); trivial.
% 33.97/34.13 apply (zenon_L300_); trivial.
% 33.97/34.13 apply (zenon_L301_); trivial.
% 33.97/34.13 (* end of lemma zenon_L302_ *)
% 33.97/34.13 assert (zenon_L303_ : (~((op (e4) (e3)) = (op (unit) (e3)))) -> ((unit) = (e4)) -> False).
% 33.97/34.13 do 0 intro. intros zenon_H1d1 zenon_H33.
% 33.97/34.13 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 33.97/34.13 cut (((e4) = (unit))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 33.97/34.13 congruence.
% 33.97/34.13 apply zenon_H3a. apply sym_equal. exact zenon_H33.
% 33.97/34.13 apply zenon_H1e. apply refl_equal.
% 33.97/34.13 (* end of lemma zenon_L303_ *)
% 33.97/34.13 assert (zenon_L304_ : ((op (unit) (e3)) = (e3)) -> ((unit) = (e4)) -> ((op (e4) (e1)) = (e3)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> False).
% 33.97/34.13 do 0 intro. intros zenon_H20 zenon_H33 zenon_H1d2 zenon_Hb1.
% 33.97/34.13 elim (classic ((op (e4) (e3)) = (op (e4) (e3)))); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb3 ].
% 33.97/34.13 cut (((op (e4) (e3)) = (op (e4) (e3))) = ((op (e4) (e1)) = (op (e4) (e3)))).
% 33.97/34.13 intro zenon_D_pnotp.
% 33.97/34.13 apply zenon_Hb1.
% 33.97/34.13 rewrite <- zenon_D_pnotp.
% 33.97/34.13 exact zenon_Hb2.
% 33.97/34.13 cut (((op (e4) (e3)) = (op (e4) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hb3].
% 33.97/34.13 cut (((op (e4) (e3)) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hb4].
% 33.97/34.13 congruence.
% 33.97/34.13 cut (((op (unit) (e3)) = (e3)) = ((op (e4) (e3)) = (op (e4) (e1)))).
% 33.97/34.13 intro zenon_D_pnotp.
% 33.97/34.13 apply zenon_Hb4.
% 33.97/34.13 rewrite <- zenon_D_pnotp.
% 33.97/34.13 exact zenon_H20.
% 33.97/34.13 cut (((e3) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1d3].
% 33.97/34.13 cut (((op (unit) (e3)) = (op (e4) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1d4].
% 33.97/34.13 congruence.
% 33.97/34.13 elim (classic ((op (e4) (e3)) = (op (e4) (e3)))); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb3 ].
% 33.97/34.13 cut (((op (e4) (e3)) = (op (e4) (e3))) = ((op (unit) (e3)) = (op (e4) (e3)))).
% 33.97/34.13 intro zenon_D_pnotp.
% 33.97/34.13 apply zenon_H1d4.
% 33.97/34.13 rewrite <- zenon_D_pnotp.
% 33.97/34.13 exact zenon_Hb2.
% 33.97/34.13 cut (((op (e4) (e3)) = (op (e4) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hb3].
% 33.97/34.13 cut (((op (e4) (e3)) = (op (unit) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1d1].
% 33.97/34.13 congruence.
% 33.97/34.13 apply (zenon_L303_); trivial.
% 33.97/34.13 apply zenon_Hb3. apply refl_equal.
% 33.97/34.13 apply zenon_Hb3. apply refl_equal.
% 33.97/34.13 apply zenon_H1d3. apply sym_equal. exact zenon_H1d2.
% 33.97/34.13 apply zenon_Hb3. apply refl_equal.
% 33.97/34.13 apply zenon_Hb3. apply refl_equal.
% 33.97/34.13 (* end of lemma zenon_L304_ *)
% 33.97/34.13 assert (zenon_L305_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> ((op (e4) (e3)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e3) (e4)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((op (e4) (e1)) = (e3)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> False).
% 33.97/34.14 do 0 intro. intros zenon_H3b zenon_Hcc zenon_Hcd zenon_H99 zenon_H91 zenon_H172 zenon_H16 zenon_H81 zenon_H20 zenon_H1d2 zenon_Hb1.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.97/34.14 apply (zenon_L74_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.97/34.14 apply (zenon_L75_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.97/34.14 apply (zenon_L76_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.97/34.14 apply (zenon_L243_); trivial.
% 33.97/34.14 apply (zenon_L304_); trivial.
% 33.97/34.14 (* end of lemma zenon_L305_ *)
% 33.97/34.14 assert (zenon_L306_ : (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((~((op (e4) (e4)) = (e3)))\/((op (e4) (e3)) = (e4))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((op (e0) (op (e0) (e0))) = (e0)))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((op (e0) (op (e1) (e0))) = (e1)))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((op (e0) (op (e2) (e0))) = (e2)))\/(((~((op (e3) (op (e3) (e0))) = (e0)))/\((op (e0) (op (e3) (e0))) = (e3)))\/((~((op (e4) (op (e4) (e0))) = (e0)))/\((op (e0) (op (e4) (e0))) = (e4))))))) -> (((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4)))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e3)) = (e4)))))) -> (~((op (e3) (e3)) = (e4))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e0)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e2)) = (e4)))))) -> (~((op (e2) (e2)) = (e4))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e0)) = (e2)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e3) (e1)) = (e0))\/((op (e4) (e1)) = (e0)))))) -> (~((op (e1) (e1)) = (op (e4) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (unit)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> (~((op (e4) (e4)) = (e0))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((e0) = (e3))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (~((op (e4) (e4)) = (e1))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e1) (e3)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e1) = (op (e4) (e2))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (e1)) = (e3)) -> ((op (unit) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> ((op (unit) (e1)) = (e1)) -> ((op (e3) (e4)) = (e1)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e4))) -> False).
% 33.97/34.14 do 0 intro. intros zenon_Hd9 zenon_H147 zenon_H1c8 zenon_H13e zenon_H1b9 zenon_H1b8 zenon_H89 zenon_He1 zenon_H1b7 zenon_H60 zenon_H1a3 zenon_H1a6 zenon_H1a5 zenon_Hf7 zenon_H1a4 zenon_Hba zenon_H159 zenon_H155 zenon_H150 zenon_H14b zenon_H41 zenon_H50 zenon_H179 zenon_H51 zenon_Hd4 zenon_He9 zenon_He6 zenon_Hea zenon_Hef zenon_H13c zenon_H9b zenon_H18 zenon_H42 zenon_H7b zenon_Hd3 zenon_He8 zenon_H18a zenon_H11f zenon_H163 zenon_H18f zenon_H144 zenon_Hc8 zenon_H4a zenon_Hc zenon_H49 zenon_H22 zenon_H1f zenon_H32 zenon_H34 zenon_H16d zenon_H112 zenon_H115 zenon_H2c zenon_H116 zenon_H166 zenon_H2d zenon_H17 zenon_H175 zenon_Hb1 zenon_H1d2 zenon_H20 zenon_H81 zenon_H16 zenon_H172 zenon_H91 zenon_H99 zenon_Hcc zenon_H3b zenon_Hda.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H9a | zenon_intro zenon_Hdb ].
% 33.97/34.14 apply (zenon_L302_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hdc ].
% 33.97/34.14 apply (zenon_L272_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ].
% 33.97/34.14 apply (zenon_L245_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ].
% 33.97/34.14 apply (zenon_L305_); trivial.
% 33.97/34.14 exact (zenon_Hda zenon_Hde).
% 33.97/34.14 (* end of lemma zenon_L306_ *)
% 33.97/34.14 assert (zenon_L307_ : ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e4) (e4)) = (e4))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((op (e4) (e1)) = (e3)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((e1) = (e3))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((e0) = (e3))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e4)) = (e0))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e4) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e3) (e1)) = (e0))\/((op (e4) (e1)) = (e0)))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e4))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e2)) = (e4)))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e4))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e3)) = (e4)))))) -> (((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4)))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((op (e0) (op (e0) (e0))) = (e0)))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((op (e0) (op (e1) (e0))) = (e1)))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((op (e0) (op (e2) (e0))) = (e2)))\/(((~((op (e3) (op (e3) (e0))) = (e0)))/\((op (e0) (op (e3) (e0))) = (e3)))\/((~((op (e4) (op (e4) (e0))) = (e0)))/\((op (e0) (op (e4) (e0))) = (e4))))))) -> ((~((op (e4) (e4)) = (e3)))\/((op (e4) (e3)) = (e4))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e4)) = (e1))) -> False).
% 33.97/34.14 do 0 intro. intros zenon_H58 zenon_H57 zenon_Hbb zenon_Hda zenon_H3b zenon_Hcc zenon_H99 zenon_H91 zenon_H16 zenon_H81 zenon_H20 zenon_H1d2 zenon_Hb1 zenon_H175 zenon_H17 zenon_H2d zenon_H166 zenon_H116 zenon_H2c zenon_H115 zenon_H112 zenon_H16d zenon_H34 zenon_H32 zenon_H1f zenon_H22 zenon_H49 zenon_Hc zenon_H4a zenon_Hc8 zenon_H18f zenon_H163 zenon_H11f zenon_H18a zenon_He8 zenon_Hd3 zenon_H7b zenon_H42 zenon_H18 zenon_H9b zenon_H13c zenon_Hef zenon_Hea zenon_He6 zenon_He9 zenon_Hd4 zenon_H51 zenon_H179 zenon_H50 zenon_H41 zenon_H14b zenon_H150 zenon_H155 zenon_H159 zenon_Hba zenon_H1a4 zenon_Hf7 zenon_H1a5 zenon_H1a6 zenon_H1a3 zenon_H60 zenon_H1b7 zenon_He1 zenon_H89 zenon_H1b8 zenon_H1b9 zenon_H13e zenon_H1c8 zenon_H147 zenon_Hd9 zenon_H144.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H169 | zenon_intro zenon_H176 ].
% 33.97/34.14 apply (zenon_L240_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H113 | zenon_intro zenon_H177 ].
% 33.97/34.14 apply (zenon_L183_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H16c | zenon_intro zenon_H178 ].
% 33.97/34.14 apply (zenon_L241_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H172 | zenon_intro zenon_H142 ].
% 33.97/34.14 apply (zenon_L306_); trivial.
% 33.97/34.14 exact (zenon_H144 zenon_H142).
% 33.97/34.14 (* end of lemma zenon_L307_ *)
% 33.97/34.14 assert (zenon_L308_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> ((op (unit) (e3)) = (e3)) -> ((op (e4) (e1)) = (e3)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> False).
% 33.97/34.14 do 0 intro. intros zenon_H3b zenon_H8e zenon_H5f zenon_H9f zenon_H22 zenon_H1f zenon_H77 zenon_H76 zenon_H20 zenon_H1d2 zenon_Hb1.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.97/34.14 apply (zenon_L83_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.97/34.14 apply (zenon_L89_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.97/34.14 apply (zenon_L8_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.97/34.14 apply (zenon_L32_); trivial.
% 33.97/34.14 apply (zenon_L304_); trivial.
% 33.97/34.14 (* end of lemma zenon_L308_ *)
% 33.97/34.14 assert (zenon_L309_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> ((~((op (e4) (e4)) = (e3)))\/((op (e4) (e3)) = (e4))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((op (e0) (op (e0) (e0))) = (e0)))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((op (e0) (op (e1) (e0))) = (e1)))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((op (e0) (op (e2) (e0))) = (e2)))\/(((~((op (e3) (op (e3) (e0))) = (e0)))/\((op (e0) (op (e3) (e0))) = (e3)))\/((~((op (e4) (op (e4) (e0))) = (e0)))/\((op (e0) (op (e4) (e0))) = (e4))))))) -> (((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4)))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e3)) = (e4)))))) -> (~((op (e3) (e3)) = (e4))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e2)) = (e4)))))) -> (~((op (e2) (e2)) = (e4))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e3) (e1)) = (e0))\/((op (e4) (e1)) = (e0)))))) -> (~((op (e1) (e1)) = (op (e4) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (unit)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e4) (e4)) = (e0))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((e1) = (e3))) -> (~((op (e4) (e4)) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> ((op (unit) (e0)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e4)) = (e4))) -> (~((e0) = (e3))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (~((op (e4) (e4)) = (e2))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (e1)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.97/34.14 do 0 intro. intros zenon_H88 zenon_H147 zenon_H1c8 zenon_H13e zenon_H1b9 zenon_H1b8 zenon_He1 zenon_H1b7 zenon_H1a3 zenon_H1a6 zenon_H1a5 zenon_Hf7 zenon_H1a4 zenon_H159 zenon_H155 zenon_H150 zenon_H14b zenon_H41 zenon_H50 zenon_H179 zenon_H51 zenon_He6 zenon_Hea zenon_Hef zenon_Hbb zenon_H13c zenon_Hc2 zenon_Ha1 zenon_Haa zenon_H175 zenon_H166 zenon_H116 zenon_H112 zenon_H16d zenon_H144 zenon_Hb9 zenon_Hb6 zenon_Hd9 zenon_H73 zenon_H61 zenon_He8 zenon_H42 zenon_H17 zenon_H18 zenon_H9b zenon_He9 zenon_Hc zenon_Hc8 zenon_Hd4 zenon_Hd3 zenon_H58 zenon_Hba zenon_H57 zenon_H91 zenon_H99 zenon_Hcc zenon_Hda zenon_H18a zenon_H11f zenon_H115 zenon_H163 zenon_H4a zenon_H49 zenon_H2d zenon_H2c zenon_H18f zenon_Hc3 zenon_Hb1 zenon_H1d2 zenon_H77 zenon_H1f zenon_H22 zenon_H9f zenon_H8e zenon_H89 zenon_H3b zenon_H7b zenon_H81 zenon_H5f zenon_H83 zenon_H20 zenon_H87 zenon_H32 zenon_H16 zenon_H34.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H60 | zenon_intro zenon_H8a ].
% 33.97/34.14 apply (zenon_L307_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ].
% 33.97/34.14 apply (zenon_L289_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H8c ].
% 33.97/34.14 apply (zenon_L308_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H8d | zenon_intro zenon_H7c ].
% 33.97/34.14 exact (zenon_H89 zenon_H8d).
% 33.97/34.14 apply (zenon_L40_); trivial.
% 33.97/34.14 (* end of lemma zenon_L309_ *)
% 33.97/34.14 assert (zenon_L310_ : (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((~((op (e4) (e4)) = (e3)))\/((op (e4) (e3)) = (e4))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((op (e0) (op (e0) (e0))) = (e0)))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((op (e0) (op (e1) (e0))) = (e1)))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((op (e0) (op (e2) (e0))) = (e2)))\/(((~((op (e3) (op (e3) (e0))) = (e0)))/\((op (e0) (op (e3) (e0))) = (e3)))\/((~((op (e4) (op (e4) (e0))) = (e0)))/\((op (e0) (op (e4) (e0))) = (e4))))))) -> (((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e4)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e3)) = (e4)))))) -> (~((op (e3) (e3)) = (e4))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e0)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e2)) = (e4)))))) -> (~((op (e2) (e2)) = (e4))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e0)) = (e2)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e3) (e1)) = (e0))\/((op (e4) (e1)) = (e0)))))) -> (~((op (e1) (e1)) = (op (e4) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (unit) (e0)) = (e0)) -> ((op (e0) (unit)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> (~((op (e4) (e4)) = (e2))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> ((op (e2) (unit)) = (e2)) -> ((e1) = (op (e4) (e2))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> ((op (e4) (e3)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (e1)) = (e3)) -> ((op (unit) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> ((op (unit) (e1)) = (e1)) -> ((op (e3) (e4)) = (e1)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e4))) -> False).
% 33.97/34.14 do 0 intro. intros zenon_Hd9 zenon_H147 zenon_H1c8 zenon_H13e zenon_H144 zenon_H1b9 zenon_H1b8 zenon_H89 zenon_He1 zenon_H1b7 zenon_H60 zenon_H1a3 zenon_H1a6 zenon_H1a5 zenon_Hf7 zenon_H1a4 zenon_Hba zenon_H159 zenon_H155 zenon_H150 zenon_H11f zenon_H14b zenon_H41 zenon_H42 zenon_H50 zenon_H179 zenon_H51 zenon_Hd4 zenon_He9 zenon_He6 zenon_Hea zenon_Hef zenon_Hc3 zenon_H9b zenon_H18 zenon_H17 zenon_H83 zenon_Hd3 zenon_He8 zenon_Hb6 zenon_Hb9 zenon_H58 zenon_H34 zenon_Haa zenon_Ha1 zenon_H2d zenon_H2c zenon_Hc2 zenon_H92 zenon_Hc zenon_H1f zenon_H22 zenon_H32 zenon_Hc8 zenon_Hb1 zenon_H1d2 zenon_H20 zenon_H81 zenon_H16 zenon_H172 zenon_H91 zenon_H99 zenon_Hcc zenon_H3b zenon_Hda.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H9a | zenon_intro zenon_Hdb ].
% 33.97/34.14 apply (zenon_L302_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hdc ].
% 33.97/34.14 apply (zenon_L129_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ].
% 33.97/34.14 apply (zenon_L73_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ].
% 33.97/34.14 apply (zenon_L305_); trivial.
% 33.97/34.14 exact (zenon_Hda zenon_Hde).
% 33.97/34.14 (* end of lemma zenon_L310_ *)
% 33.97/34.14 assert (zenon_L311_ : (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((e1) = (e3))) -> (~((op (e4) (e4)) = (e4))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((op (e4) (e1)) = (e3)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e4) (e3)) = (e2)) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> ((e1) = (op (e4) (e2))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e4)) = (e2))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e0) (unit)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e4) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e3) (e1)) = (e0))\/((op (e4) (e1)) = (e0)))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e4))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e2)) = (e4)))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e4))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e3)) = (e4)))))) -> (((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4)))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((op (e0) (op (e0) (e0))) = (e0)))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((op (e0) (op (e1) (e0))) = (e1)))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((op (e0) (op (e2) (e0))) = (e2)))\/(((~((op (e3) (op (e3) (e0))) = (e0)))/\((op (e0) (op (e3) (e0))) = (e3)))\/((~((op (e4) (op (e4) (e0))) = (e0)))/\((op (e0) (op (e4) (e0))) = (e4))))))) -> ((~((op (e4) (e4)) = (e3)))\/((op (e4) (e3)) = (e4))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e4)) = (e1))) -> False).
% 33.97/34.14 do 0 intro. intros zenon_H175 zenon_H166 zenon_H68 zenon_H5f zenon_H8e zenon_H61 zenon_H112 zenon_H16d zenon_Hda zenon_H3b zenon_Hcc zenon_H99 zenon_H91 zenon_H16 zenon_H81 zenon_H20 zenon_H1d2 zenon_Hb1 zenon_Hc8 zenon_H32 zenon_H22 zenon_H1f zenon_Hc zenon_H92 zenon_Hc2 zenon_H2c zenon_H2d zenon_Ha1 zenon_Haa zenon_H34 zenon_H58 zenon_Hb9 zenon_Hb6 zenon_He8 zenon_Hd3 zenon_H83 zenon_H17 zenon_H18 zenon_H9b zenon_Hc3 zenon_Hef zenon_Hea zenon_He6 zenon_He9 zenon_Hd4 zenon_H51 zenon_H179 zenon_H50 zenon_H42 zenon_H41 zenon_H14b zenon_H11f zenon_H150 zenon_H155 zenon_H159 zenon_Hba zenon_H1a4 zenon_Hf7 zenon_H1a5 zenon_H1a6 zenon_H1a3 zenon_H60 zenon_H1b7 zenon_He1 zenon_H89 zenon_H1b8 zenon_H1b9 zenon_H13e zenon_H1c8 zenon_H147 zenon_Hd9 zenon_H144.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H169 | zenon_intro zenon_H176 ].
% 33.97/34.14 apply (zenon_L275_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H113 | zenon_intro zenon_H177 ].
% 33.97/34.14 apply (zenon_L276_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H16c | zenon_intro zenon_H178 ].
% 33.97/34.14 apply (zenon_L241_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H172 | zenon_intro zenon_H142 ].
% 33.97/34.14 apply (zenon_L310_); trivial.
% 33.97/34.14 exact (zenon_H144 zenon_H142).
% 33.97/34.14 (* end of lemma zenon_L311_ *)
% 33.97/34.14 assert (zenon_L312_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e4) (e4)) = (e1))) -> ((~((op (e4) (e4)) = (e3)))\/((op (e4) (e3)) = (e4))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((op (e0) (op (e0) (e0))) = (e0)))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((op (e0) (op (e1) (e0))) = (e1)))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((op (e0) (op (e2) (e0))) = (e2)))\/(((~((op (e3) (op (e3) (e0))) = (e0)))/\((op (e0) (op (e3) (e0))) = (e3)))\/((~((op (e4) (op (e4) (e0))) = (e0)))/\((op (e0) (op (e4) (e0))) = (e4))))))) -> (((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4)))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e3)) = (e4)))))) -> (~((op (e3) (e3)) = (e4))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e2)) = (e4)))))) -> (~((op (e2) (e2)) = (e4))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e3) (e1)) = (e0))\/((op (e4) (e1)) = (e0)))))) -> (~((op (e1) (e1)) = (op (e4) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (unit) (e0)) = (e0)) -> ((op (e0) (unit)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> ((op (e4) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e4) (e4)) = (e2))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (e3)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e4)) = (e4))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e3) (e3)) = (e3))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.97/34.14 do 0 intro. intros zenon_H88 zenon_H144 zenon_H147 zenon_H1c8 zenon_H13e zenon_H1b9 zenon_H1b8 zenon_He1 zenon_H1b7 zenon_H1a3 zenon_H1a6 zenon_H1a5 zenon_Hf7 zenon_H1a4 zenon_H159 zenon_H155 zenon_H150 zenon_H11f zenon_H14b zenon_H41 zenon_H42 zenon_H50 zenon_H179 zenon_H51 zenon_He9 zenon_He6 zenon_Hea zenon_Hef zenon_He8 zenon_H1d2 zenon_H16d zenon_H112 zenon_H68 zenon_H166 zenon_H175 zenon_H73 zenon_Hbb zenon_H61 zenon_Hc3 zenon_Hd9 zenon_H8e zenon_H9f zenon_H9b zenon_H92 zenon_Hc zenon_H1f zenon_H22 zenon_Hc8 zenon_Hd4 zenon_Hd3 zenon_H58 zenon_Hba zenon_H57 zenon_H91 zenon_H99 zenon_Hb1 zenon_Hcc zenon_Hda zenon_Hb6 zenon_Hb9 zenon_H77 zenon_Haa zenon_Ha1 zenon_H18 zenon_H2d zenon_H17 zenon_H2c zenon_Hc2 zenon_H89 zenon_H3b zenon_H7b zenon_H81 zenon_H5f zenon_H83 zenon_H20 zenon_H87 zenon_H32 zenon_H16 zenon_H34.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H60 | zenon_intro zenon_H8a ].
% 33.97/34.14 apply (zenon_L311_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ].
% 33.97/34.14 apply (zenon_L82_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H8c ].
% 33.97/34.14 apply (zenon_L92_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H8d | zenon_intro zenon_H7c ].
% 33.97/34.14 exact (zenon_H89 zenon_H8d).
% 33.97/34.14 apply (zenon_L40_); trivial.
% 33.97/34.14 (* end of lemma zenon_L312_ *)
% 33.97/34.14 assert (zenon_L313_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e3) (e1)) = (e3))\/((op (e4) (e1)) = (e3)))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((e0) = (e3))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e4) (e4)) = (e0))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e4) (e4)) = (e1))) -> ((~((op (e4) (e4)) = (e3)))\/((op (e4) (e3)) = (e4))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((op (e0) (op (e0) (e0))) = (e0)))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((op (e0) (op (e1) (e0))) = (e1)))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((op (e0) (op (e2) (e0))) = (e2)))\/(((~((op (e3) (op (e3) (e0))) = (e0)))/\((op (e0) (op (e3) (e0))) = (e3)))\/((~((op (e4) (op (e4) (e0))) = (e0)))/\((op (e0) (op (e4) (e0))) = (e4))))))) -> (((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4)))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e3)) = (e4)))))) -> (~((op (e3) (e3)) = (e4))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e2)) = (e4)))))) -> (~((op (e2) (e2)) = (e4))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e3) (e1)) = (e0))\/((op (e4) (e1)) = (e0)))))) -> (~((op (e1) (e1)) = (op (e4) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (unit) (e0)) = (e0)) -> ((op (e0) (unit)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e4) (e4)) = (e2))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e4)) = (e4))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e3) (e3)) = (e3))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.97/34.14 do 0 intro. intros zenon_H1d5 zenon_H15d zenon_H1d6 zenon_He0 zenon_Hb zenon_H18f zenon_H49 zenon_H163 zenon_H115 zenon_H18a zenon_H116 zenon_H13c zenon_H6e zenon_H88 zenon_H144 zenon_H147 zenon_H1c8 zenon_H13e zenon_H1b9 zenon_H1b8 zenon_He1 zenon_H1b7 zenon_H1a3 zenon_H1a6 zenon_H1a5 zenon_Hf7 zenon_H1a4 zenon_H159 zenon_H155 zenon_H150 zenon_H11f zenon_H14b zenon_H41 zenon_H42 zenon_H50 zenon_H179 zenon_H51 zenon_He9 zenon_He6 zenon_Hea zenon_Hef zenon_He8 zenon_H16d zenon_H112 zenon_H68 zenon_H166 zenon_H175 zenon_H73 zenon_Hbb zenon_H61 zenon_Hc3 zenon_Hd9 zenon_H8e zenon_H9f zenon_H9b zenon_Hc zenon_H1f zenon_H22 zenon_Hc8 zenon_Hd4 zenon_Hd3 zenon_H58 zenon_Hba zenon_H57 zenon_H91 zenon_H99 zenon_Hb1 zenon_Hcc zenon_Hda zenon_Hb6 zenon_Hb9 zenon_H77 zenon_Haa zenon_Ha1 zenon_H18 zenon_H2d zenon_H17 zenon_H2c zenon_Hc2 zenon_H89 zenon_H3b zenon_H7b zenon_H81 zenon_H5f zenon_H83 zenon_H20 zenon_H87 zenon_H32 zenon_H16 zenon_H34.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H17d | zenon_intro zenon_H1d7 ].
% 33.97/34.14 apply (zenon_L281_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1d8 ].
% 33.97/34.14 exact (zenon_H1d6 zenon_H1d9).
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H193 | zenon_intro zenon_H1da ].
% 33.97/34.14 apply (zenon_L282_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d2 ].
% 33.97/34.14 apply (zenon_L290_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.97/34.14 apply (zenon_L12_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.97/34.14 apply (zenon_L309_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.97/34.14 apply (zenon_L41_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.97/34.14 exact (zenon_He1 zenon_He5).
% 33.97/34.14 apply (zenon_L312_); trivial.
% 33.97/34.14 (* end of lemma zenon_L313_ *)
% 33.97/34.14 assert (zenon_L314_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> ((op (e3) (e4)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (e1)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.97/34.14 do 0 intro. intros zenon_H3b zenon_H7b zenon_H7c zenon_H5f zenon_H81 zenon_Hb1 zenon_Ha5 zenon_H99 zenon_H32 zenon_H16 zenon_H34.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.97/34.14 apply (zenon_L35_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.97/34.14 apply (zenon_L36_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.97/34.14 apply (zenon_L58_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.97/34.14 apply (zenon_L60_); trivial.
% 33.97/34.14 apply (zenon_L11_); trivial.
% 33.97/34.14 (* end of lemma zenon_L314_ *)
% 33.97/34.14 assert (zenon_L315_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (e1)) = (e4)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.97/34.14 do 0 intro. intros zenon_H88 zenon_H68 zenon_H61 zenon_H73 zenon_H1f zenon_H22 zenon_H6e zenon_H58 zenon_H59 zenon_H57 zenon_H20 zenon_H77 zenon_H9f zenon_H8e zenon_H89 zenon_H3b zenon_H7b zenon_H5f zenon_H81 zenon_Hb1 zenon_Ha5 zenon_H99 zenon_H32 zenon_H16 zenon_H34.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H60 | zenon_intro zenon_H8a ].
% 33.97/34.14 apply (zenon_L27_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ].
% 33.97/34.14 apply (zenon_L31_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H8c ].
% 33.97/34.14 apply (zenon_L115_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H8d | zenon_intro zenon_H7c ].
% 33.97/34.14 exact (zenon_H89 zenon_H8d).
% 33.97/34.14 apply (zenon_L314_); trivial.
% 33.97/34.14 (* end of lemma zenon_L315_ *)
% 33.97/34.14 assert (zenon_L316_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e4) (e4)) = (e0))) -> ((op (unit) (e0)) = (e0)) -> (~((e0) = (e3))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> ((e1) = (op (e4) (e2))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e2) (unit)) = (e2)) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> ((op (e4) (e1)) = (e4)) -> ((op (unit) (e4)) = (e4)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e2))) -> False).
% 33.97/34.14 do 0 intro. intros zenon_He0 zenon_Hb zenon_H13c zenon_H42 zenon_H18a zenon_H11f zenon_H115 zenon_H163 zenon_H49 zenon_H18f zenon_H81 zenon_H5f zenon_H7b zenon_H89 zenon_H8e zenon_H9f zenon_H77 zenon_H57 zenon_H6e zenon_H73 zenon_H61 zenon_H68 zenon_H88 zenon_He1 zenon_Hc2 zenon_H2c zenon_H2d zenon_Ha1 zenon_H91 zenon_Hb1 zenon_Haa zenon_H34 zenon_H1f zenon_H58 zenon_H20 zenon_H22 zenon_Hb9 zenon_Hb6 zenon_He8 zenon_Ha5 zenon_Hd3 zenon_H83 zenon_Hc zenon_H99 zenon_H32 zenon_H16 zenon_H17 zenon_H18 zenon_H9b zenon_H3b zenon_Hc3.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.97/34.14 apply (zenon_L12_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.97/34.14 apply (zenon_L272_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.97/34.14 apply (zenon_L315_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.97/34.14 exact (zenon_He1 zenon_He5).
% 33.97/34.14 apply (zenon_L129_); trivial.
% 33.97/34.14 (* end of lemma zenon_L316_ *)
% 33.97/34.14 assert (zenon_L317_ : ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (~((op (e4) (e4)) = (e0))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> ((op (e4) (e1)) = (e4)) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((e0) = (e3))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> False).
% 33.97/34.14 do 0 intro. intros zenon_Hef zenon_Hc8 zenon_He9 zenon_H3b zenon_H34 zenon_H32 zenon_H2c zenon_H2d zenon_H22 zenon_H20 zenon_H1f zenon_H17 zenon_H16 zenon_H18 zenon_Hc zenon_Hb zenon_H18f zenon_H13c zenon_H9b zenon_H99 zenon_Ha5 zenon_H7b zenon_He8 zenon_Hd3 zenon_H18a zenon_H11f zenon_H115 zenon_H163 zenon_H42 zenon_H49 zenon_H88 zenon_H81 zenon_Hb1 zenon_H89 zenon_H8e zenon_H9f zenon_H77 zenon_H6e zenon_H73 zenon_H57 zenon_H58 zenon_H61 zenon_H5f zenon_H68 zenon_He1 zenon_Hc2 zenon_H83 zenon_Hb6 zenon_Hb9 zenon_Haa zenon_Ha1 zenon_H91 zenon_He0.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc9 ].
% 33.97/34.14 apply (zenon_L316_); trivial.
% 33.97/34.14 apply (zenon_L248_); trivial.
% 33.97/34.14 (* end of lemma zenon_L317_ *)
% 33.97/34.14 assert (zenon_L318_ : (~((op (e4) (e4)) = (e0))) -> (~((e0) = (e3))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((e1) = (e3))) -> (~((op (e4) (e4)) = (e4))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> ((op (e1) (unit)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e2)) = (e2)) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e4)) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e4)) = (e1))) -> False).
% 33.97/34.14 do 0 intro. intros zenon_H13c zenon_H18a zenon_H11f zenon_H115 zenon_H163 zenon_H18f zenon_H116 zenon_Hea zenon_He6 zenon_He9 zenon_Hee zenon_H175 zenon_H166 zenon_H60 zenon_H8e zenon_H112 zenon_H16d zenon_Hda zenon_H3b zenon_Hcc zenon_Hb1 zenon_H99 zenon_H91 zenon_H57 zenon_Hba zenon_H58 zenon_Hd3 zenon_Hd4 zenon_He0 zenon_H2c zenon_H17 zenon_H2d zenon_H18 zenon_Hb zenon_H49 zenon_H34 zenon_H16 zenon_H87 zenon_H83 zenon_H5f zenon_H81 zenon_H7b zenon_H89 zenon_H6e zenon_H77 zenon_H73 zenon_H61 zenon_H68 zenon_H88 zenon_He1 zenon_Hc8 zenon_H32 zenon_H22 zenon_H20 zenon_H1f zenon_Hc zenon_Hc2 zenon_Ha1 zenon_Haa zenon_Hb9 zenon_Hb6 zenon_He8 zenon_H9b zenon_Hc3 zenon_H51 zenon_H17d zenon_H15d zenon_H42 zenon_Hd9 zenon_H144.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.97/34.14 apply (zenon_L12_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.97/34.14 apply (zenon_L274_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.97/34.14 apply (zenon_L114_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.97/34.14 exact (zenon_He1 zenon_He5).
% 33.97/34.14 apply (zenon_L279_); trivial.
% 33.97/34.14 (* end of lemma zenon_L318_ *)
% 33.97/34.14 assert (zenon_L319_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> ((op (unit) (e3)) = (e3)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.97/34.14 do 0 intro. intros zenon_H3b zenon_H61 zenon_H60 zenon_H9f zenon_H5f zenon_H73 zenon_H72 zenon_H20 zenon_H32 zenon_H16 zenon_H34.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.97/34.14 apply (zenon_L46_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.97/34.14 apply (zenon_L24_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.97/34.14 apply (zenon_L50_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.97/34.14 apply (zenon_L30_); trivial.
% 33.97/34.14 apply (zenon_L11_); trivial.
% 33.97/34.14 (* end of lemma zenon_L319_ *)
% 33.97/34.14 assert (zenon_L320_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e3) (e1)) = (e3))\/((op (e4) (e1)) = (e3)))))) -> ((op (e1) (e1)) = (e0)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e4) (e4)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((e1) = (e3))) -> (~((op (e4) (e4)) = (e4))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e2)) = (e2)) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> ((e1) = (op (e4) (e2))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e4)) = (e2))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e0) (unit)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e4) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e3) (e1)) = (e0))\/((op (e4) (e1)) = (e0)))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e4))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e2)) = (e4)))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e4))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e3)) = (e4)))))) -> (((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4)))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((op (e0) (op (e0) (e0))) = (e0)))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((op (e0) (op (e1) (e0))) = (e1)))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((op (e0) (op (e2) (e0))) = (e2)))\/(((~((op (e3) (op (e3) (e0))) = (e0)))/\((op (e0) (op (e3) (e0))) = (e3)))\/((~((op (e4) (op (e4) (e0))) = (e0)))/\((op (e0) (op (e4) (e0))) = (e4))))))) -> ((~((op (e4) (e4)) = (e3)))\/((op (e4) (e3)) = (e4))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e4)) = (e1))) -> False).
% 33.97/34.14 do 0 intro. intros zenon_H1d5 zenon_H15d zenon_Hee zenon_H1d6 zenon_H9f zenon_He0 zenon_Hb zenon_H13c zenon_H18a zenon_H163 zenon_H18f zenon_H49 zenon_H115 zenon_H116 zenon_Hbb zenon_H87 zenon_H7b zenon_H57 zenon_H6e zenon_H77 zenon_H73 zenon_H88 zenon_H175 zenon_H166 zenon_H68 zenon_H5f zenon_H8e zenon_H61 zenon_H112 zenon_H16d zenon_Hda zenon_H3b zenon_Hcc zenon_H99 zenon_H91 zenon_H16 zenon_H81 zenon_H20 zenon_Hb1 zenon_Hc8 zenon_H32 zenon_H22 zenon_H1f zenon_Hc zenon_Hc2 zenon_H2c zenon_H2d zenon_Ha1 zenon_Haa zenon_H34 zenon_H58 zenon_Hb9 zenon_Hb6 zenon_He8 zenon_Hd3 zenon_H83 zenon_H17 zenon_H18 zenon_H9b zenon_Hc3 zenon_Hef zenon_Hea zenon_He6 zenon_He9 zenon_Hd4 zenon_H51 zenon_H179 zenon_H50 zenon_H42 zenon_H41 zenon_H14b zenon_H11f zenon_H150 zenon_H155 zenon_H159 zenon_Hba zenon_H1a4 zenon_Hf7 zenon_H1a5 zenon_H1a6 zenon_H1a3 zenon_H60 zenon_H1b7 zenon_He1 zenon_H89 zenon_H1b8 zenon_H1b9 zenon_H13e zenon_H1c8 zenon_H147 zenon_Hd9 zenon_H144.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H17d | zenon_intro zenon_H1d7 ].
% 33.97/34.14 apply (zenon_L318_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1d8 ].
% 33.97/34.14 exact (zenon_H1d6 zenon_H1d9).
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H193 | zenon_intro zenon_H1da ].
% 33.97/34.14 apply (zenon_L282_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d2 ].
% 33.97/34.14 apply (zenon_L319_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.97/34.14 apply (zenon_L12_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.97/34.14 apply (zenon_L307_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.97/34.14 apply (zenon_L41_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.97/34.14 exact (zenon_He1 zenon_He5).
% 33.97/34.14 apply (zenon_L311_); trivial.
% 33.97/34.14 (* end of lemma zenon_L320_ *)
% 33.97/34.14 assert (zenon_L321_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> ((op (unit) (e3)) = (e3)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.97/34.14 do 0 intro. intros zenon_H3b zenon_H8d zenon_H61 zenon_H8e zenon_H5f zenon_H68 zenon_H60 zenon_H20 zenon_H32 zenon_H16 zenon_H34.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.97/34.14 apply (zenon_L102_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.97/34.14 apply (zenon_L24_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.97/34.14 apply (zenon_L42_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.97/34.14 apply (zenon_L26_); trivial.
% 33.97/34.14 apply (zenon_L11_); trivial.
% 33.97/34.14 (* end of lemma zenon_L321_ *)
% 33.97/34.14 assert (zenon_L322_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> ((op (unit) (e3)) = (e3)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.97/34.14 do 0 intro. intros zenon_H3b zenon_H61 zenon_H8e zenon_H60 zenon_H5f zenon_H77 zenon_H76 zenon_H20 zenon_H32 zenon_H16 zenon_H34.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.97/34.14 apply (zenon_L83_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.97/34.14 apply (zenon_L24_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.97/34.14 apply (zenon_L42_); trivial.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.97/34.14 apply (zenon_L32_); trivial.
% 33.97/34.14 apply (zenon_L11_); trivial.
% 33.97/34.14 (* end of lemma zenon_L322_ *)
% 33.97/34.14 assert (zenon_L323_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e4) (e4)) = (e0)))\/((op (e4) (e0)) = (e4))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((e1) = (e3))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((e0) = (e3))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e4) (e4)) = (e3)))\/((op (e4) (e3)) = (e4))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((op (e0) (op (e0) (e0))) = (e0)))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((op (e0) (op (e1) (e0))) = (e1)))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((op (e0) (op (e2) (e0))) = (e2)))\/(((~((op (e3) (op (e3) (e0))) = (e0)))/\((op (e0) (op (e3) (e0))) = (e3)))\/((~((op (e4) (op (e4) (e0))) = (e0)))/\((op (e0) (op (e4) (e0))) = (e4))))))) -> (((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4)))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e3)) = (e4)))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e2)) = (e4)))))) -> (~((op (e2) (e2)) = (e4))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e3) (e1)) = (e0))\/((op (e4) (e1)) = (e0)))))) -> (~((op (e1) (e1)) = (op (e4) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e3) (e1)) = (e3))\/((op (e4) (e1)) = (e3)))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (unit) (e0)) = (e0)) -> ((op (e0) (unit)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((~((op (e4) (e4)) = (e1)))\/((op (e4) (e1)) = (e4))) -> ((~((op (e3) (e3)) = (e4)))\/((op (e3) (e4)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 33.97/34.14 do 0 intro. intros zenon_H1db zenon_H148 zenon_H8e zenon_H60 zenon_He0 zenon_Ha1 zenon_Haa zenon_Hb9 zenon_Hb6 zenon_Hc2 zenon_H88 zenon_H83 zenon_H87 zenon_H77 zenon_H6e zenon_H73 zenon_H61 zenon_H5f zenon_H68 zenon_Hea zenon_He6 zenon_He9 zenon_Hee zenon_H49 zenon_H166 zenon_H116 zenon_H115 zenon_H112 zenon_H16d zenon_Hd9 zenon_Hb1 zenon_H91 zenon_H57 zenon_H58 zenon_Hba zenon_Hd4 zenon_H81 zenon_H163 zenon_H11f zenon_H18a zenon_Hd3 zenon_He8 zenon_H7b zenon_H9b zenon_H18f zenon_Hc8 zenon_H99 zenon_Hcc zenon_H175 zenon_Hb zenon_Hc zenon_H18 zenon_H17 zenon_H2d zenon_H2c zenon_H1d6 zenon_H9f zenon_Hbb zenon_H147 zenon_H1c8 zenon_H13e zenon_H1b9 zenon_H1a3 zenon_H1a6 zenon_H1a5 zenon_Hf7 zenon_H1a4 zenon_H159 zenon_H155 zenon_H150 zenon_H14b zenon_Hef zenon_H1d5 zenon_H41 zenon_H42 zenon_H50 zenon_H179 zenon_H1f zenon_H20 zenon_H22 zenon_H51 zenon_H32 zenon_H16 zenon_H34 zenon_H3b zenon_H1dc zenon_H1dd zenon_Hf1.
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H72 ].
% 33.97/34.14 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He1 | zenon_intro zenon_H76 ].
% 33.97/34.14 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H89 | zenon_intro zenon_H8d ].
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H7c ].
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13c | zenon_intro zenon_H9a ].
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H144 | zenon_intro zenon_Ha5 ].
% 33.97/34.14 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc9 ].
% 33.97/34.14 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hda | zenon_intro zenon_Hde ].
% 33.97/34.14 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H43 | zenon_intro zenon_H15b ].
% 33.97/34.15 apply (zenon_L262_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H15d | zenon_intro zenon_H15c ].
% 33.97/34.15 apply (zenon_L320_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H14a | zenon_intro zenon_H15e ].
% 33.97/34.15 apply (zenon_L217_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 33.97/34.15 apply (zenon_L218_); trivial.
% 33.97/34.15 apply (zenon_L219_); trivial.
% 33.97/34.15 apply (zenon_L99_); trivial.
% 33.97/34.15 apply (zenon_L246_); trivial.
% 33.97/34.15 apply (zenon_L317_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H144 | zenon_intro zenon_Ha5 ].
% 33.97/34.15 apply (zenon_L302_); trivial.
% 33.97/34.15 apply (zenon_L258_); trivial.
% 33.97/34.15 apply (zenon_L40_); trivial.
% 33.97/34.15 apply (zenon_L321_); trivial.
% 33.97/34.15 apply (zenon_L322_); trivial.
% 33.97/34.15 apply (zenon_L319_); trivial.
% 33.97/34.15 (* end of lemma zenon_L323_ *)
% 33.97/34.15 assert (zenon_L324_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e4) (e4)) = (e1))) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e4) (e4)) = (e0))) -> ((op (unit) (e0)) = (e0)) -> (~((e0) = (e3))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> ((op (e1) (unit)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e4) (e4)) = (e4))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e4)) = (e2))) -> False).
% 33.97/34.15 do 0 intro. intros zenon_He0 zenon_Hb zenon_H144 zenon_H15d zenon_H17d zenon_H51 zenon_H13c zenon_H42 zenon_H18a zenon_H11f zenon_H115 zenon_H163 zenon_H18f zenon_H49 zenon_H16d zenon_H112 zenon_H116 zenon_H166 zenon_H175 zenon_H88 zenon_H7b zenon_H81 zenon_H87 zenon_H6e zenon_H73 zenon_H61 zenon_H68 zenon_Hea zenon_He6 zenon_He8 zenon_Hee zenon_He9 zenon_Hc2 zenon_H2c zenon_H17 zenon_H2d zenon_H18 zenon_Ha1 zenon_Haa zenon_H16 zenon_H34 zenon_H77 zenon_Hb9 zenon_Hb6 zenon_Hda zenon_H3b zenon_Hcc zenon_Hb1 zenon_H99 zenon_H91 zenon_H57 zenon_Hba zenon_H58 zenon_Hd3 zenon_Hd4 zenon_Hc8 zenon_H32 zenon_H22 zenon_H20 zenon_H1f zenon_Hc zenon_H9b zenon_H76 zenon_H5f zenon_H9f zenon_H83 zenon_H8e zenon_Hd9 zenon_Hc3.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.97/34.15 apply (zenon_L12_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.97/34.15 apply (zenon_L274_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.97/34.15 apply (zenon_L135_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.97/34.15 apply (zenon_L118_); trivial.
% 33.97/34.15 apply (zenon_L92_); trivial.
% 33.97/34.15 (* end of lemma zenon_L324_ *)
% 33.97/34.15 assert (zenon_L325_ : ((~((op (e4) (e4)) = (e1)))\/((op (e4) (e1)) = (e4))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (~((op (e4) (e4)) = (e0))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((e0) = (e3))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> False).
% 33.97/34.15 do 0 intro. intros zenon_H1dc zenon_H8e zenon_Hea zenon_He6 zenon_H3b zenon_H34 zenon_H32 zenon_H2c zenon_H2d zenon_H22 zenon_H20 zenon_H1f zenon_H17 zenon_H16 zenon_H18 zenon_Hc zenon_Hb zenon_Ha1 zenon_Hd9 zenon_Hcc zenon_Haa zenon_H91 zenon_Hd4 zenon_H166 zenon_H116 zenon_H112 zenon_H16d zenon_H81 zenon_Hc8 zenon_H175 zenon_H7b zenon_He8 zenon_Hd3 zenon_H61 zenon_H5f zenon_H72 zenon_H9b zenon_H99 zenon_H9f zenon_H73 zenon_Hb9 zenon_H58 zenon_Hb6 zenon_H18f zenon_H13c zenon_He9 zenon_H83 zenon_Hba zenon_H57 zenon_Hb1 zenon_Hc2 zenon_H18a zenon_H11f zenon_H115 zenon_H163 zenon_H42 zenon_H49 zenon_H88 zenon_H87 zenon_H89 zenon_H77 zenon_H6e zenon_H68 zenon_He1 zenon_Hbb zenon_He0 zenon_Hef.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H144 | zenon_intro zenon_Ha5 ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc9 ].
% 33.97/34.15 apply (zenon_L290_); trivial.
% 33.97/34.15 apply (zenon_L246_); trivial.
% 33.97/34.15 apply (zenon_L317_); trivial.
% 33.97/34.15 (* end of lemma zenon_L325_ *)
% 33.97/34.15 assert (zenon_L326_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> ((op (unit) (e3)) = (e3)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.97/34.15 do 0 intro. intros zenon_H3b zenon_H68 zenon_H8d zenon_H9f zenon_H5f zenon_H73 zenon_H72 zenon_H20 zenon_H32 zenon_H16 zenon_H34.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.97/34.15 apply (zenon_L102_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.97/34.15 apply (zenon_L105_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.97/34.15 apply (zenon_L50_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.97/34.15 apply (zenon_L30_); trivial.
% 33.97/34.15 apply (zenon_L11_); trivial.
% 33.97/34.15 (* end of lemma zenon_L326_ *)
% 33.97/34.15 assert (zenon_L327_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e4) (e4)) = (e0)))\/((op (e4) (e0)) = (e4))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e1) = (op (e4) (e2))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e4) (e4)) = (e1)))\/((op (e4) (e1)) = (e4))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 33.97/34.15 do 0 intro. intros zenon_Hf1 zenon_H148 zenon_Hef zenon_He0 zenon_Hbb zenon_H68 zenon_H6e zenon_H77 zenon_H87 zenon_H88 zenon_H49 zenon_H42 zenon_H163 zenon_H115 zenon_H11f zenon_H18a zenon_Hc2 zenon_Hb1 zenon_H57 zenon_Hba zenon_H83 zenon_He9 zenon_H18f zenon_Hb6 zenon_H58 zenon_Hb9 zenon_H73 zenon_H9f zenon_H99 zenon_H9b zenon_H72 zenon_H5f zenon_H61 zenon_Hd3 zenon_He8 zenon_H7b zenon_H175 zenon_Hc8 zenon_H81 zenon_H16d zenon_H112 zenon_H116 zenon_H166 zenon_Hd4 zenon_H91 zenon_Haa zenon_Hcc zenon_Hd9 zenon_Ha1 zenon_Hb zenon_Hc zenon_H18 zenon_H16 zenon_H17 zenon_H1f zenon_H20 zenon_H22 zenon_H2d zenon_H2c zenon_H32 zenon_H34 zenon_H3b zenon_He6 zenon_Hea zenon_H8e zenon_H1dc zenon_Hee.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He1 | zenon_intro zenon_H76 ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H89 | zenon_intro zenon_H8d ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13c | zenon_intro zenon_H9a ].
% 33.97/34.15 apply (zenon_L325_); trivial.
% 33.97/34.15 apply (zenon_L51_); trivial.
% 33.97/34.15 apply (zenon_L326_); trivial.
% 33.97/34.15 apply (zenon_L202_); trivial.
% 33.97/34.15 (* end of lemma zenon_L327_ *)
% 33.97/34.15 assert (zenon_L328_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e3) (e1)) = (e3))\/((op (e4) (e1)) = (e3)))))) -> (~((op (e4) (e4)) = (e2))) -> (~((op (e4) (e4)) = (e4))) -> (~((op (e4) (e4)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e4) (e4)) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e4) (e4)) = (e1)))\/((op (e4) (e1)) = (e4))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((e0) = (e3))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> ((~((op (e4) (e4)) = (e0)))\/((op (e4) (e0)) = (e4))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> ((op (unit) (e3)) = (e3)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> False).
% 33.97/34.15 do 0 intro. intros zenon_H1d5 zenon_Hc3 zenon_Hda zenon_H13c zenon_H51 zenon_H15d zenon_H144 zenon_H1d6 zenon_Hee zenon_H1dc zenon_Hea zenon_He6 zenon_H34 zenon_H32 zenon_H2c zenon_H2d zenon_H17 zenon_H16 zenon_H18 zenon_Hc zenon_Hb zenon_Ha1 zenon_Hd9 zenon_Hcc zenon_Haa zenon_H91 zenon_Hd4 zenon_H166 zenon_H116 zenon_H112 zenon_H16d zenon_H81 zenon_Hc8 zenon_H175 zenon_H7b zenon_He8 zenon_Hd3 zenon_H61 zenon_H9b zenon_H99 zenon_H73 zenon_Hb9 zenon_H58 zenon_Hb6 zenon_H18f zenon_He9 zenon_H83 zenon_Hba zenon_H57 zenon_Hc2 zenon_H18a zenon_H11f zenon_H115 zenon_H163 zenon_H42 zenon_H49 zenon_H88 zenon_H87 zenon_H6e zenon_H68 zenon_Hbb zenon_He0 zenon_Hef zenon_H148 zenon_Hf1 zenon_H3b zenon_H8e zenon_H5f zenon_H9f zenon_H22 zenon_H1f zenon_H77 zenon_H76 zenon_H20 zenon_Hb1.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H17d | zenon_intro zenon_H1d7 ].
% 33.97/34.15 apply (zenon_L324_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1d8 ].
% 33.97/34.15 exact (zenon_H1d6 zenon_H1d9).
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H193 | zenon_intro zenon_H1da ].
% 33.97/34.15 apply (zenon_L282_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d2 ].
% 33.97/34.15 apply (zenon_L327_); trivial.
% 33.97/34.15 apply (zenon_L308_); trivial.
% 33.97/34.15 (* end of lemma zenon_L328_ *)
% 33.97/34.15 assert (zenon_L329_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e3) (e1)) = (e0))\/((op (e4) (e1)) = (e0)))))) -> ((op (e0) (unit)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (unit) (e3)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e4) (e4)) = (e0)))\/((op (e4) (e0)) = (e4))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((e0) = (e3))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> ((~((op (e4) (e4)) = (e1)))\/((op (e4) (e1)) = (e4))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e4) (e4)) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e4) (e4)) = (e0))) -> (~((op (e4) (e4)) = (e4))) -> (~((op (e4) (e4)) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e3) (e1)) = (e3))\/((op (e4) (e1)) = (e3)))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> ((e1) = (op (e4) (e2))) -> (~((op (e1) (e1)) = (op (e4) (e1)))) -> False).
% 33.97/34.15 do 0 intro. intros zenon_H159 zenon_H50 zenon_H179 zenon_H41 zenon_Hb1 zenon_H20 zenon_H76 zenon_H77 zenon_H1f zenon_H22 zenon_H9f zenon_H5f zenon_H8e zenon_H3b zenon_Hf1 zenon_H148 zenon_Hef zenon_He0 zenon_Hbb zenon_H68 zenon_H6e zenon_H87 zenon_H88 zenon_H49 zenon_H42 zenon_H163 zenon_H115 zenon_H18a zenon_Hc2 zenon_H57 zenon_Hba zenon_H83 zenon_He9 zenon_H18f zenon_Hb6 zenon_H58 zenon_Hb9 zenon_H73 zenon_H99 zenon_H9b zenon_H61 zenon_Hd3 zenon_He8 zenon_H7b zenon_H175 zenon_Hc8 zenon_H81 zenon_H16d zenon_H112 zenon_H116 zenon_H166 zenon_Hd4 zenon_H91 zenon_Haa zenon_Hcc zenon_Hd9 zenon_Ha1 zenon_Hb zenon_Hc zenon_H18 zenon_H16 zenon_H17 zenon_H2d zenon_H2c zenon_H32 zenon_He6 zenon_Hea zenon_H1dc zenon_Hee zenon_H1d6 zenon_H144 zenon_H51 zenon_H13c zenon_Hda zenon_Hc3 zenon_H1d5 zenon_H14b zenon_H150 zenon_H11f zenon_H34 zenon_H155.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H43 | zenon_intro zenon_H15b ].
% 33.97/34.15 apply (zenon_L262_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H15d | zenon_intro zenon_H15c ].
% 33.97/34.15 apply (zenon_L328_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H14a | zenon_intro zenon_H15e ].
% 33.97/34.15 apply (zenon_L217_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 33.97/34.15 apply (zenon_L218_); trivial.
% 33.97/34.15 apply (zenon_L219_); trivial.
% 33.97/34.15 (* end of lemma zenon_L329_ *)
% 33.97/34.15 assert (zenon_L330_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e3) (e1)) = (e0))\/((op (e4) (e1)) = (e0)))))) -> (~((op (e1) (e1)) = (op (e4) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((e1) = (e3))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((e0) = (e3))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e4) (e4)) = (e0)))\/((op (e4) (e0)) = (e4))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e4) (e4)) = (e1)))\/((op (e4) (e1)) = (e4))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e3) (e1)) = (e3))\/((op (e4) (e1)) = (e3)))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (unit) (e0)) = (e0)) -> ((op (e0) (unit)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> False).
% 33.97/34.15 do 0 intro. intros zenon_H159 zenon_H155 zenon_H150 zenon_H14b zenon_He0 zenon_Ha1 zenon_Haa zenon_Hb9 zenon_Hb6 zenon_Hc2 zenon_H76 zenon_H8e zenon_H9f zenon_H88 zenon_H83 zenon_H87 zenon_H77 zenon_H6e zenon_H73 zenon_H61 zenon_H5f zenon_H68 zenon_Hea zenon_He6 zenon_He9 zenon_Hee zenon_H49 zenon_H166 zenon_H116 zenon_H115 zenon_H112 zenon_H16d zenon_Hd9 zenon_Hb1 zenon_H91 zenon_H57 zenon_H58 zenon_Hba zenon_Hd4 zenon_H81 zenon_H163 zenon_H11f zenon_H18a zenon_Hd3 zenon_He8 zenon_H7b zenon_H9b zenon_H18f zenon_Hc8 zenon_H99 zenon_Hcc zenon_H175 zenon_Hb zenon_Hc zenon_H18 zenon_H17 zenon_H2d zenon_H2c zenon_H1d6 zenon_Hf1 zenon_H148 zenon_Hef zenon_Hbb zenon_H1dc zenon_H1d5 zenon_H41 zenon_H42 zenon_H50 zenon_H179 zenon_H1f zenon_H20 zenon_H22 zenon_H51 zenon_H32 zenon_H16 zenon_H34 zenon_H3b.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13c | zenon_intro zenon_H9a ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H144 | zenon_intro zenon_Ha5 ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc9 ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hda | zenon_intro zenon_Hde ].
% 33.97/34.15 apply (zenon_L329_); trivial.
% 33.97/34.15 apply (zenon_L99_); trivial.
% 33.97/34.15 apply (zenon_L120_); trivial.
% 33.97/34.15 apply (zenon_L115_); trivial.
% 33.97/34.15 apply (zenon_L85_); trivial.
% 33.97/34.15 (* end of lemma zenon_L330_ *)
% 33.97/34.15 assert (zenon_L331_ : ((~((op (e3) (e3)) = (e4)))\/((op (e3) (e4)) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e4))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e2)) = (e4)))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e3)) = (e4)))))) -> (((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4)))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((op (e0) (op (e0) (e0))) = (e0)))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((op (e0) (op (e1) (e0))) = (e1)))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((op (e0) (op (e2) (e0))) = (e2)))\/(((~((op (e3) (op (e3) (e0))) = (e0)))/\((op (e0) (op (e3) (e0))) = (e3)))\/((~((op (e4) (op (e4) (e0))) = (e0)))/\((op (e0) (op (e4) (e0))) = (e4))))))) -> ((~((op (e4) (e4)) = (e3)))\/((op (e4) (e3)) = (e4))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((op (e4) (e0)) = (e4)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((e3) = (op (e2) (e4))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e0) (unit)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e3) (e1)) = (e3))\/((op (e4) (e1)) = (e3)))))) -> ((~((op (e4) (e4)) = (e1)))\/((op (e4) (e1)) = (e4))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> ((~((op (e4) (e4)) = (e0)))\/((op (e4) (e0)) = (e4))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((e0) = (e3))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e4) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e3) (e1)) = (e0))\/((op (e4) (e1)) = (e0)))))) -> (~((op (e3) (e3)) = (e3))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.97/34.15 do 0 intro. intros zenon_H1dd zenon_H1a4 zenon_Hf7 zenon_H1a5 zenon_H1a6 zenon_H1a3 zenon_H1b9 zenon_H13e zenon_H1c8 zenon_H147 zenon_H1db zenon_H9a zenon_H51 zenon_H22 zenon_H1f zenon_H179 zenon_H50 zenon_H42 zenon_H41 zenon_H1d5 zenon_H1dc zenon_Hbb zenon_Hef zenon_H148 zenon_Hf1 zenon_H1d6 zenon_H2c zenon_H2d zenon_H17 zenon_H18 zenon_Hc zenon_Hb zenon_H175 zenon_Hcc zenon_H99 zenon_Hc8 zenon_H18f zenon_H9b zenon_He8 zenon_Hd3 zenon_H18a zenon_H11f zenon_H163 zenon_Hd4 zenon_Hba zenon_H58 zenon_H57 zenon_H91 zenon_Hb1 zenon_Hd9 zenon_H16d zenon_H112 zenon_H115 zenon_H116 zenon_H166 zenon_H49 zenon_Hee zenon_He9 zenon_He6 zenon_Hea zenon_H68 zenon_H61 zenon_H73 zenon_H6e zenon_H77 zenon_H88 zenon_H9f zenon_H8e zenon_Hc2 zenon_Hb6 zenon_Hb9 zenon_Haa zenon_Ha1 zenon_He0 zenon_H14b zenon_H150 zenon_H155 zenon_H159 zenon_H89 zenon_H3b zenon_H7b zenon_H81 zenon_H5f zenon_H83 zenon_H20 zenon_H87 zenon_H32 zenon_H16 zenon_H34.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H60 | zenon_intro zenon_H8a ].
% 33.97/34.15 apply (zenon_L323_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ].
% 33.97/34.15 apply (zenon_L51_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H8c ].
% 33.97/34.15 apply (zenon_L330_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H8d | zenon_intro zenon_H7c ].
% 33.97/34.15 exact (zenon_H89 zenon_H8d).
% 33.97/34.15 apply (zenon_L40_); trivial.
% 33.97/34.15 (* end of lemma zenon_L331_ *)
% 33.97/34.15 assert (zenon_L332_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.97/34.15 do 0 intro. intros zenon_H3b zenon_Hbb zenon_Hba zenon_H22 zenon_H20 zenon_H1f zenon_H6e zenon_Hf2 zenon_H58 zenon_H32 zenon_H16 zenon_H34.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.97/34.15 apply (zenon_L122_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.97/34.15 apply (zenon_L65_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.97/34.15 apply (zenon_L8_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.97/34.15 apply (zenon_L123_); trivial.
% 33.97/34.15 apply (zenon_L11_); trivial.
% 33.97/34.15 (* end of lemma zenon_L332_ *)
% 33.97/34.15 assert (zenon_L333_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e4) (e4)) = (e0)))\/((op (e4) (e0)) = (e4))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e3) (e3)) = (e4)))\/((op (e3) (e4)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e1) (e1)) = (e3))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e4) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e3) (e1)) = (e0))\/((op (e4) (e1)) = (e0)))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e2)) = (e4)))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e3)) = (e4)))))) -> (((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4)))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((op (e0) (op (e0) (e0))) = (e0)))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((op (e0) (op (e1) (e0))) = (e1)))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((op (e0) (op (e2) (e0))) = (e2)))\/(((~((op (e3) (op (e3) (e0))) = (e0)))/\((op (e0) (op (e3) (e0))) = (e3)))\/((~((op (e4) (op (e4) (e0))) = (e0)))/\((op (e0) (op (e4) (e0))) = (e4))))))) -> ((~((op (e4) (e4)) = (e3)))\/((op (e4) (e3)) = (e4))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e3) (e1)) = (e3))\/((op (e4) (e1)) = (e3)))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e1) = (op (e4) (e2))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> ((~((op (e4) (e4)) = (e1)))\/((op (e4) (e1)) = (e4))) -> ((~((op (e2) (e2)) = (e4)))\/((op (e2) (e4)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> False).
% 33.97/34.15 do 0 intro. intros zenon_H1de zenon_H1df zenon_H1db zenon_H148 zenon_Hee zenon_H1dd zenon_Hf1 zenon_H166 zenon_H116 zenon_H115 zenon_H112 zenon_H16d zenon_H163 zenon_H11f zenon_H18a zenon_H18f zenon_H175 zenon_H1d6 zenon_Hef zenon_H179 zenon_H14b zenon_H150 zenon_H155 zenon_H159 zenon_H1a3 zenon_H1b9 zenon_H13e zenon_H1c8 zenon_H147 zenon_H1d5 zenon_He0 zenon_H91 zenon_H8e zenon_Hd9 zenon_Hcc zenon_Hd4 zenon_Hd3 zenon_Hc8 zenon_Ha1 zenon_Hb1 zenon_Haa zenon_Hb9 zenon_Hb6 zenon_Hba zenon_Hbb zenon_Hc2 zenon_H9b zenon_H99 zenon_H9f zenon_H68 zenon_H5f zenon_H61 zenon_H58 zenon_H57 zenon_H73 zenon_H6e zenon_H77 zenon_H87 zenon_H83 zenon_H81 zenon_H7b zenon_H88 zenon_H41 zenon_H42 zenon_H49 zenon_H51 zenon_H50 zenon_Hb zenon_Hc zenon_H18 zenon_H16 zenon_H17 zenon_H1f zenon_H20 zenon_H22 zenon_H2d zenon_H2c zenon_H32 zenon_H34 zenon_H3b zenon_He9 zenon_He8 zenon_He6 zenon_Hea zenon_H1dc zenon_H1e0 zenon_Hff zenon_Hfe zenon_Hfc zenon_H101.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1a4 | zenon_intro zenon_Hf2 ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hfb ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H59 ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1a6 | zenon_intro zenon_Hb7 ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H72 ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He1 | zenon_intro zenon_H76 ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H89 | zenon_intro zenon_H8d ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H7c ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13c | zenon_intro zenon_H9a ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H144 | zenon_intro zenon_Ha5 ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc9 ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hda | zenon_intro zenon_Hde ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H43 | zenon_intro zenon_H15b ].
% 33.97/34.15 apply (zenon_L100_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H15d | zenon_intro zenon_H15c ].
% 33.97/34.15 apply (zenon_L313_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H14a | zenon_intro zenon_H15e ].
% 33.97/34.15 apply (zenon_L217_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 33.97/34.15 apply (zenon_L218_); trivial.
% 33.97/34.15 apply (zenon_L219_); trivial.
% 33.97/34.15 apply (zenon_L99_); trivial.
% 33.97/34.15 apply (zenon_L246_); trivial.
% 33.97/34.15 apply (zenon_L317_); trivial.
% 33.97/34.15 apply (zenon_L331_); trivial.
% 33.97/34.15 apply (zenon_L40_); trivial.
% 33.97/34.15 apply (zenon_L111_); trivial.
% 33.97/34.15 apply (zenon_L330_); trivial.
% 33.97/34.15 apply (zenon_L327_); trivial.
% 33.97/34.15 apply (zenon_L126_); trivial.
% 33.97/34.15 apply (zenon_L114_); trivial.
% 33.97/34.15 apply (zenon_L142_); trivial.
% 33.97/34.15 apply (zenon_L332_); trivial.
% 33.97/34.15 (* end of lemma zenon_L333_ *)
% 33.97/34.15 assert (zenon_L334_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e1) = (op (e4) (e2))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e0) (e4)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e1)) = (e1)) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> False).
% 33.97/34.15 do 0 intro. intros zenon_He0 zenon_Hb zenon_H49 zenon_H88 zenon_H7b zenon_H81 zenon_H83 zenon_H87 zenon_H77 zenon_H6e zenon_H73 zenon_H57 zenon_H58 zenon_H61 zenon_H5f zenon_H68 zenon_H32 zenon_H34 zenon_Hea zenon_He6 zenon_He8 zenon_Hcc zenon_Hc8 zenon_H99 zenon_H9b zenon_Hb1 zenon_Hd3 zenon_He9 zenon_Hd4 zenon_Hf2 zenon_Hd9 zenon_Hee zenon_He1 zenon_H3b zenon_H164 zenon_H42 zenon_H163 zenon_H18 zenon_H16 zenon_H22 zenon_H20 zenon_H1f zenon_H2d zenon_H17 zenon_H2c zenon_H91 zenon_Hc.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.97/34.15 apply (zenon_L12_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.97/34.15 apply (zenon_L255_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.97/34.15 apply (zenon_L155_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.97/34.15 exact (zenon_He1 zenon_He5).
% 33.97/34.15 apply (zenon_L256_); trivial.
% 33.97/34.15 (* end of lemma zenon_L334_ *)
% 33.97/34.15 assert (zenon_L335_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e4)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> False).
% 33.97/34.15 do 0 intro. intros zenon_Hf1 zenon_H8e zenon_H9f zenon_H72 zenon_H3b zenon_H34 zenon_H32 zenon_H2c zenon_H2d zenon_H22 zenon_H20 zenon_H1f zenon_H17 zenon_H16 zenon_H18 zenon_Hc zenon_Hb zenon_H49 zenon_H164 zenon_H42 zenon_H163 zenon_Hee zenon_Hd9 zenon_Hf2 zenon_Hd4 zenon_H91 zenon_He9 zenon_Hd3 zenon_Hb1 zenon_H9b zenon_H99 zenon_Hc8 zenon_Hcc zenon_He8 zenon_He6 zenon_Hea zenon_H68 zenon_H5f zenon_H61 zenon_H58 zenon_H57 zenon_H73 zenon_H6e zenon_H77 zenon_H87 zenon_H83 zenon_H81 zenon_H7b zenon_H88 zenon_He0.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He1 | zenon_intro zenon_H76 ].
% 33.97/34.15 apply (zenon_L334_); trivial.
% 33.97/34.15 apply (zenon_L202_); trivial.
% 33.97/34.15 (* end of lemma zenon_L335_ *)
% 33.97/34.15 assert (zenon_L336_ : (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> ((op (unit) (e0)) = (e0)) -> ((op (e3) (e4)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e4)) = (e1))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e1) (e3)) = (e2)) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e4))) -> False).
% 33.97/34.15 do 0 intro. intros zenon_Hd9 zenon_Hbb zenon_He8 zenon_H7b zenon_H42 zenon_H18d zenon_H18 zenon_H9b zenon_H144 zenon_Hc8 zenon_H4a zenon_Hc zenon_H49 zenon_H22 zenon_H20 zenon_H1f zenon_H81 zenon_H32 zenon_H16 zenon_H34 zenon_H16d zenon_H112 zenon_H115 zenon_H2c zenon_H116 zenon_H166 zenon_H2d zenon_H17 zenon_H175 zenon_Hd4 zenon_Hd3 zenon_H58 zenon_Hf2 zenon_H6e zenon_H91 zenon_H99 zenon_Hb1 zenon_Hcc zenon_H3b zenon_Hda.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H9a | zenon_intro zenon_Hdb ].
% 33.97/34.15 apply (zenon_L124_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hdc ].
% 33.97/34.15 apply (zenon_L271_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ].
% 33.97/34.15 apply (zenon_L245_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ].
% 33.97/34.15 apply (zenon_L130_); trivial.
% 33.97/34.15 exact (zenon_Hda zenon_Hde).
% 33.97/34.15 (* end of lemma zenon_L336_ *)
% 33.97/34.15 assert (zenon_L337_ : (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((e0) = (e3))) -> (~((op (e4) (e4)) = (e4))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((e1) = (e3))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e4)) = (e1))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e4)) = (e0))) -> False).
% 33.97/34.15 do 0 intro. intros zenon_H18f zenon_He0 zenon_H88 zenon_H83 zenon_H87 zenon_H77 zenon_H73 zenon_H57 zenon_H61 zenon_H5f zenon_H68 zenon_Hea zenon_He6 zenon_He9 zenon_Hee zenon_H163 zenon_Hb zenon_H72 zenon_H9f zenon_H8e zenon_Hf1 zenon_H11f zenon_H18a zenon_Hda zenon_H3b zenon_Hcc zenon_Hb1 zenon_H99 zenon_H91 zenon_H6e zenon_Hf2 zenon_H58 zenon_Hd3 zenon_Hd4 zenon_H175 zenon_H17 zenon_H2d zenon_H166 zenon_H116 zenon_H2c zenon_H115 zenon_H112 zenon_H16d zenon_H34 zenon_H16 zenon_H32 zenon_H81 zenon_H1f zenon_H20 zenon_H22 zenon_H49 zenon_Hc zenon_H4a zenon_Hc8 zenon_H144 zenon_H9b zenon_H18 zenon_H42 zenon_H7b zenon_He8 zenon_Hbb zenon_Hd9 zenon_H13c.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H164 | zenon_intro zenon_H190 ].
% 33.97/34.15 apply (zenon_L335_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H183 | zenon_intro zenon_H191 ].
% 33.97/34.15 apply (zenon_L268_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H189 | zenon_intro zenon_H192 ].
% 33.97/34.15 apply (zenon_L269_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H18d | zenon_intro zenon_H140 ].
% 33.97/34.15 apply (zenon_L336_); trivial.
% 33.97/34.15 exact (zenon_H13c zenon_H140).
% 33.97/34.15 (* end of lemma zenon_L337_ *)
% 33.97/34.15 assert (zenon_L338_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (~((op (e4) (e4)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e4) (e4)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((e0) = (e3))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e4) (e4)) = (e2))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> False).
% 33.97/34.15 do 0 intro. intros zenon_H3b zenon_H34 zenon_H32 zenon_H2c zenon_H2d zenon_H22 zenon_H20 zenon_H1f zenon_H17 zenon_H16 zenon_H18 zenon_Hc zenon_Hb zenon_H18f zenon_H13c zenon_Hbb zenon_H175 zenon_H144 zenon_H16d zenon_H112 zenon_H116 zenon_H166 zenon_H18a zenon_H11f zenon_H115 zenon_He0 zenon_H88 zenon_H7b zenon_H81 zenon_H83 zenon_H87 zenon_H77 zenon_H6e zenon_H73 zenon_H57 zenon_H58 zenon_H61 zenon_H5f zenon_H68 zenon_Hea zenon_He6 zenon_He8 zenon_Hcc zenon_Hc8 zenon_H99 zenon_H9b zenon_Hb1 zenon_Hd3 zenon_He9 zenon_H91 zenon_Hd4 zenon_Hf2 zenon_Hd9 zenon_Hee zenon_H163 zenon_H42 zenon_H49 zenon_H72 zenon_H9f zenon_H8e zenon_Hf1 zenon_He1 zenon_Ha1 zenon_Haa zenon_Hb9 zenon_Hb6 zenon_Hc3 zenon_Hc2.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hda | zenon_intro zenon_Hde ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.97/34.15 apply (zenon_L12_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.97/34.15 apply (zenon_L337_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.97/34.15 apply (zenon_L155_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.97/34.15 exact (zenon_He1 zenon_He5).
% 33.97/34.15 apply (zenon_L131_); trivial.
% 33.97/34.15 apply (zenon_L99_); trivial.
% 33.97/34.15 (* end of lemma zenon_L338_ *)
% 33.97/34.15 assert (zenon_L339_ : ((~((op (e4) (e4)) = (e0)))\/((op (e4) (e0)) = (e4))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((e1) = (e3))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e1) = (op (e4) (e2))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((~((op (e4) (e4)) = (e1)))\/((op (e4) (e1)) = (e4))) -> False).
% 33.97/34.15 do 0 intro. intros zenon_H148 zenon_Hef zenon_Hc2 zenon_Hb6 zenon_Hb9 zenon_Haa zenon_Ha1 zenon_Hf1 zenon_H8e zenon_H9f zenon_H72 zenon_H49 zenon_H42 zenon_H163 zenon_Hee zenon_Hd9 zenon_Hf2 zenon_Hd4 zenon_H91 zenon_He9 zenon_Hd3 zenon_Hb1 zenon_H9b zenon_H99 zenon_Hc8 zenon_Hcc zenon_He8 zenon_He6 zenon_Hea zenon_H68 zenon_H5f zenon_H61 zenon_H58 zenon_H57 zenon_H73 zenon_H6e zenon_H77 zenon_H87 zenon_H83 zenon_H81 zenon_H7b zenon_H88 zenon_He0 zenon_H115 zenon_H11f zenon_H18a zenon_H166 zenon_H116 zenon_H112 zenon_H16d zenon_H175 zenon_Hbb zenon_H18f zenon_Hb zenon_Hc zenon_H18 zenon_H16 zenon_H17 zenon_H1f zenon_H20 zenon_H22 zenon_H2d zenon_H2c zenon_H32 zenon_H34 zenon_H3b zenon_H1dc.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He1 | zenon_intro zenon_H76 ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H89 | zenon_intro zenon_H8d ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13c | zenon_intro zenon_H9a ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H144 | zenon_intro zenon_Ha5 ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc9 ].
% 33.97/34.15 apply (zenon_L338_); trivial.
% 33.97/34.15 apply (zenon_L246_); trivial.
% 33.97/34.15 apply (zenon_L317_); trivial.
% 33.97/34.15 apply (zenon_L124_); trivial.
% 33.97/34.15 apply (zenon_L133_); trivial.
% 33.97/34.15 apply (zenon_L202_); trivial.
% 33.97/34.15 (* end of lemma zenon_L339_ *)
% 33.97/34.15 assert (zenon_L340_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> ((op (e3) (e2)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e4) (e1)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> False).
% 33.97/34.15 do 0 intro. intros zenon_H3b zenon_H9b zenon_H18 zenon_H17 zenon_H16 zenon_H32 zenon_H99 zenon_H125 zenon_H42 zenon_H8e zenon_Hd3 zenon_Ha5 zenon_He8.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.97/34.15 apply (zenon_L55_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.97/34.15 apply (zenon_L6_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.97/34.15 apply (zenon_L58_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.97/34.15 apply (zenon_L177_); trivial.
% 33.97/34.15 apply (zenon_L127_); trivial.
% 33.97/34.15 (* end of lemma zenon_L340_ *)
% 33.97/34.15 assert (zenon_L341_ : (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> ((op (unit) (e0)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (unit)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> ((op (e2) (unit)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e4)) = (e4))) -> False).
% 33.97/34.15 do 0 intro. intros zenon_Hd9 zenon_H34 zenon_Hc8 zenon_He8 zenon_H42 zenon_H125 zenon_H32 zenon_H16 zenon_H17 zenon_H18 zenon_H9b zenon_He9 zenon_H77 zenon_Hc zenon_He5 zenon_H1f zenon_H20 zenon_H22 zenon_H9f zenon_H5f zenon_H76 zenon_H8e zenon_Hd4 zenon_Hd3 zenon_H58 zenon_Hf2 zenon_H6e zenon_H91 zenon_H99 zenon_Hb1 zenon_Hcc zenon_H3b zenon_Hda.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H9a | zenon_intro zenon_Hdb ].
% 33.97/34.15 apply (zenon_L85_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hdc ].
% 33.97/34.15 apply (zenon_L340_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ].
% 33.97/34.15 apply (zenon_L117_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ].
% 33.97/34.15 apply (zenon_L130_); trivial.
% 33.97/34.15 exact (zenon_Hda zenon_Hde).
% 33.97/34.15 (* end of lemma zenon_L341_ *)
% 33.97/34.15 assert (zenon_L342_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((e1) = (op (e4) (e2))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e0) (e4)) = (e0)) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e1)) = (e1)) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> ((op (unit) (e2)) = (e2)) -> False).
% 33.97/34.15 do 0 intro. intros zenon_He0 zenon_Hb zenon_H49 zenon_H88 zenon_H7b zenon_H81 zenon_H83 zenon_H87 zenon_H73 zenon_H57 zenon_H61 zenon_H68 zenon_Hea zenon_He6 zenon_Hee zenon_Hda zenon_Hcc zenon_Hb1 zenon_H99 zenon_H6e zenon_Hf2 zenon_H58 zenon_Hd3 zenon_Hd4 zenon_H8e zenon_H76 zenon_H5f zenon_H9f zenon_H77 zenon_He9 zenon_H9b zenon_H32 zenon_H125 zenon_He8 zenon_Hc8 zenon_H34 zenon_Hd9 zenon_H3b zenon_H164 zenon_H42 zenon_H163 zenon_H18 zenon_H16 zenon_H22 zenon_H20 zenon_H1f zenon_H2d zenon_H17 zenon_H2c zenon_H91 zenon_Hc.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.97/34.15 apply (zenon_L12_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.97/34.15 apply (zenon_L255_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.97/34.15 apply (zenon_L155_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.97/34.15 apply (zenon_L341_); trivial.
% 33.97/34.15 apply (zenon_L256_); trivial.
% 33.97/34.15 (* end of lemma zenon_L342_ *)
% 33.97/34.15 assert (zenon_L343_ : (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (unit)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((e0) = (e3))) -> (~((op (e4) (e4)) = (e4))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((e1) = (e3))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (unit) (e2)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e4)) = (e1))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e4)) = (e0))) -> False).
% 33.97/34.15 do 0 intro. intros zenon_H18f zenon_H163 zenon_H125 zenon_He9 zenon_H77 zenon_H9f zenon_H5f zenon_H76 zenon_H8e zenon_Hee zenon_He6 zenon_Hea zenon_H68 zenon_H61 zenon_H57 zenon_H73 zenon_H87 zenon_H83 zenon_H88 zenon_Hb zenon_He0 zenon_H11f zenon_H18a zenon_Hda zenon_H3b zenon_Hcc zenon_Hb1 zenon_H99 zenon_H91 zenon_H6e zenon_Hf2 zenon_H58 zenon_Hd3 zenon_Hd4 zenon_H175 zenon_H17 zenon_H2d zenon_H166 zenon_H116 zenon_H2c zenon_H115 zenon_H112 zenon_H16d zenon_H34 zenon_H16 zenon_H32 zenon_H81 zenon_H1f zenon_H20 zenon_H22 zenon_H49 zenon_Hc zenon_H4a zenon_Hc8 zenon_H144 zenon_H9b zenon_H18 zenon_H42 zenon_H7b zenon_He8 zenon_Hbb zenon_Hd9 zenon_H13c.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H164 | zenon_intro zenon_H190 ].
% 33.97/34.15 apply (zenon_L342_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H183 | zenon_intro zenon_H191 ].
% 33.97/34.15 apply (zenon_L268_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H189 | zenon_intro zenon_H192 ].
% 33.97/34.15 apply (zenon_L269_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H18d | zenon_intro zenon_H140 ].
% 33.97/34.15 apply (zenon_L336_); trivial.
% 33.97/34.15 exact (zenon_H13c zenon_H140).
% 33.97/34.15 (* end of lemma zenon_L343_ *)
% 33.97/34.15 assert (zenon_L344_ : ((~((op (e4) (e4)) = (e1)))\/((op (e4) (e1)) = (e4))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (unit)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (unit)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (unit) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (unit) (e3)) = (e3)) -> ((e3) = (op (e2) (e4))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((e1) = (op (e4) (e2))) -> (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((e1) = (e3))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e4) (e2)) = (e0)))))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> ((~((op (e4) (e4)) = (e0)))\/((op (e4) (e0)) = (e4))) -> False).
% 33.97/34.15 do 0 intro. intros zenon_H1dc zenon_He0 zenon_H76 zenon_H8e zenon_H9f zenon_H88 zenon_H7b zenon_H81 zenon_H83 zenon_H87 zenon_H77 zenon_H6e zenon_H73 zenon_H57 zenon_H58 zenon_H61 zenon_H5f zenon_H68 zenon_Hea zenon_He6 zenon_He8 zenon_Hcc zenon_Hc8 zenon_H99 zenon_H9b zenon_Hb1 zenon_Hd3 zenon_He9 zenon_H91 zenon_Hd4 zenon_Hf2 zenon_Hd9 zenon_Hee zenon_H10b zenon_H42 zenon_H49 zenon_H50 zenon_Hb zenon_Hc zenon_H18 zenon_H16 zenon_H17 zenon_H1f zenon_H20 zenon_H22 zenon_H2d zenon_H2c zenon_H32 zenon_H34 zenon_H3b zenon_H109 zenon_H11f zenon_H12e zenon_Hc2 zenon_Hb6 zenon_Hb9 zenon_Haa zenon_Ha1 zenon_H163 zenon_H115 zenon_H18a zenon_H166 zenon_H116 zenon_H112 zenon_H16d zenon_H175 zenon_Hbb zenon_H18f zenon_H129 zenon_H12d zenon_Hef zenon_H148.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H89 | zenon_intro zenon_H8d ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13c | zenon_intro zenon_H9a ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H144 | zenon_intro zenon_Ha5 ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc9 ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hda | zenon_intro zenon_Hde ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H10c | zenon_intro zenon_H12f ].
% 33.97/34.15 apply (zenon_L157_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H120 | zenon_intro zenon_H130 ].
% 33.97/34.15 apply (zenon_L175_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H132 | zenon_intro zenon_H131 ].
% 33.97/34.15 exact (zenon_H12e zenon_H132).
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H125 | zenon_intro zenon_H128 ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd | zenon_intro zenon_He2 ].
% 33.97/34.15 apply (zenon_L12_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4a | zenon_intro zenon_He3 ].
% 33.97/34.15 apply (zenon_L343_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H59 | zenon_intro zenon_He4 ].
% 33.97/34.15 apply (zenon_L41_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H92 ].
% 33.97/34.15 apply (zenon_L136_); trivial.
% 33.97/34.15 apply (zenon_L131_); trivial.
% 33.97/34.15 apply (zenon_L179_); trivial.
% 33.97/34.15 apply (zenon_L99_); trivial.
% 33.97/34.15 apply (zenon_L120_); trivial.
% 33.97/34.15 apply (zenon_L115_); trivial.
% 33.97/34.15 apply (zenon_L85_); trivial.
% 33.97/34.15 apply (zenon_L227_); trivial.
% 33.97/34.15 (* end of lemma zenon_L344_ *)
% 33.97/34.15 assert (zenon_L345_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((e1) = (op (e4) (e2))) -> ((op (unit) (e1)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> ((op (e3) (unit)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (unit)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e4) (e4)) = (e0)))\/((op (e4) (e0)) = (e4))) -> ((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4))) -> (((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2)))))) -> (~((op (e2) (e0)) = (op (e2) (e4)))) -> (~((op (e2) (e1)) = (op (e2) (e4)))) -> (~((op (e1) (e2)) = (op (e1) (e4)))) -> (~((op (e0) (e2)) = (op (e0) (e4)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (unit) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e4)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4)))))) -> (~((op (e4) (e3)) = (op (e4) (e4)))) -> (~((op (e4) (e2)) = (op (e4) (e3)))) -> (~((op (e4) (e2)) = (op (e4) (e4)))) -> ((op (unit) (e4)) = (e4)) -> (~((op (e4) (e1)) = (op (e4) (e3)))) -> (~((op (e4) (e0)) = (op (e4) (e1)))) -> ((op (e4) (unit)) = (e4)) -> (~((op (e4) (e0)) = (op (e4) (e2)))) -> (~((op (e4) (e0)) = (op (e4) (e3)))) -> (~((op (e4) (e1)) = (op (e4) (e4)))) -> (~((op (e4) (e0)) = (op (e4) (e4)))) -> ((~((op (e4) (e4)) = (e4)))\/((op (e4) (e4)) = (e4))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (op (e3) (e4)))) -> (~((op (e3) (e2)) = (op (e3) (e4)))) -> (~((op (e3) (e1)) = (op (e3) (e4)))) -> (~((op (e3) (e0)) = (op (e3) (e4)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3)))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2)))))) -> (~((op (e1) (e1)) = (op (e1) (e4)))) -> ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e4)))) -> (~((op (e1) (e3)) = (op (e1) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e4)))) -> (~((e1) = (e3))) -> (((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1)))))) -> (((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0)))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (unit) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (unit)) = (e1)) -> ((~((op (e4) (e4)) = (e1)))\/((op (e4) (e1)) = (e4))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (unit)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e4) (e2)) = (e0)))))) -> False).
% 33.97/34.15 do 0 intro. intros zenon_H3b zenon_H34 zenon_H16 zenon_H32 zenon_H6e zenon_H22 zenon_H20 zenon_H1f zenon_H5f zenon_H61 zenon_Hf2 zenon_H58 zenon_Hbb zenon_H148 zenon_Hef zenon_Hc2 zenon_Hb6 zenon_Hb9 zenon_Haa zenon_Ha1 zenon_Hf1 zenon_H8e zenon_H9f zenon_H49 zenon_H42 zenon_H163 zenon_Hee zenon_Hd9 zenon_Hd4 zenon_H91 zenon_He9 zenon_Hd3 zenon_Hb1 zenon_H9b zenon_H99 zenon_Hc8 zenon_Hcc zenon_He8 zenon_He6 zenon_Hea zenon_H68 zenon_H57 zenon_H73 zenon_H77 zenon_H87 zenon_H83 zenon_H81 zenon_H7b zenon_H88 zenon_He0 zenon_H115 zenon_H11f zenon_H18a zenon_H166 zenon_H116 zenon_H112 zenon_H16d zenon_H175 zenon_H18f zenon_Hb zenon_Hc zenon_H18 zenon_H17 zenon_H2d zenon_H2c zenon_H1dc zenon_H10b zenon_H50 zenon_H109 zenon_H12e zenon_H129 zenon_H12d.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H89 | zenon_intro zenon_H8d ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H60 | zenon_intro zenon_H8a ].
% 33.97/34.15 apply (zenon_L187_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ].
% 33.97/34.15 apply (zenon_L339_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H8c ].
% 33.97/34.15 apply (zenon_L344_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H8d | zenon_intro zenon_H7c ].
% 33.97/34.15 exact (zenon_H89 zenon_H8d).
% 33.97/34.15 apply (zenon_L40_); trivial.
% 33.97/34.15 apply (zenon_L133_); trivial.
% 33.97/34.15 (* end of lemma zenon_L345_ *)
% 33.97/34.15 assert (zenon_L346_ : (((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4)))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((e3) = (op (e2) (e4))) -> ((op (unit) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e2) (e4)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (unit)) = (e1)) -> (~((op (e4) (e1)) = (op (e4) (e2)))) -> ((op (unit) (e1)) = (e1)) -> ((e1) = (op (e4) (e2))) -> False).
% 33.97/34.15 do 0 intro. intros zenon_H3b zenon_H10f zenon_H18 zenon_H22 zenon_H20 zenon_H1f zenon_H2d zenon_H17 zenon_H2c zenon_H32 zenon_H16 zenon_H34.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ].
% 33.97/34.15 apply (zenon_L161_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3d ].
% 33.97/34.15 apply (zenon_L6_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H21 | zenon_intro zenon_H3e ].
% 33.97/34.15 apply (zenon_L8_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H2a | zenon_intro zenon_H33 ].
% 33.97/34.15 apply (zenon_L10_); trivial.
% 33.97/34.15 apply (zenon_L11_); trivial.
% 33.97/34.15 (* end of lemma zenon_L346_ *)
% 33.97/34.15 apply NNPP. intro zenon_G.
% 33.97/34.15 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H1e2. zenon_intro zenon_H1e1.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1e4. zenon_intro zenon_H1e3.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H1e6. zenon_intro zenon_H1e5.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H1e8. zenon_intro zenon_H1e7.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1ea. zenon_intro zenon_H1e9.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1ec. zenon_intro zenon_H1eb.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1ee. zenon_intro zenon_H1ed.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1f0. zenon_intro zenon_H1ef.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1f2. zenon_intro zenon_H1f1.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1f4. zenon_intro zenon_H1f3.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1f6. zenon_intro zenon_H1f5.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1f8. zenon_intro zenon_H1f7.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1a3. zenon_intro zenon_H1f9.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H201. zenon_intro zenon_H200.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H203. zenon_intro zenon_H202.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1b9. zenon_intro zenon_H204.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H206. zenon_intro zenon_H205.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H208. zenon_intro zenon_H207.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H20a. zenon_intro zenon_H209.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H20c. zenon_intro zenon_H20b.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H20d. zenon_intro zenon_H13e.
% 33.97/34.15 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H42. zenon_intro zenon_H20e.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H50. zenon_intro zenon_H20f.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H16. zenon_intro zenon_H210.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H2c. zenon_intro zenon_H211.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_Hc. zenon_intro zenon_H212.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H58. zenon_intro zenon_H213.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H20. zenon_intro zenon_H214.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H5f. zenon_intro zenon_H215.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_Hd3. zenon_intro zenon_H216.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H99. zenon_intro zenon_H3b.
% 33.97/34.15 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H218. zenon_intro zenon_H217.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H222. zenon_intro zenon_H221.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H224. zenon_intro zenon_H223.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H226. zenon_intro zenon_H225.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H228. zenon_intro zenon_H227.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H22a. zenon_intro zenon_H229.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H22c. zenon_intro zenon_H22b.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H159. zenon_intro zenon_H22d.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H117. zenon_intro zenon_H22e.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H230. zenon_intro zenon_H22f.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H22f). zenon_intro zenon_H232. zenon_intro zenon_H231.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H234. zenon_intro zenon_H233.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H236. zenon_intro zenon_H235.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d5. zenon_intro zenon_H237.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H239. zenon_intro zenon_H238.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H23b. zenon_intro zenon_H23a.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H23d. zenon_intro zenon_H23c.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H23c). zenon_intro zenon_H12d. zenon_intro zenon_H23e.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H240. zenon_intro zenon_H23f.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H242. zenon_intro zenon_H241.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_Hf6. zenon_intro zenon_H243.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H245. zenon_intro zenon_H244.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H244). zenon_intro zenon_H247. zenon_intro zenon_H246.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H249. zenon_intro zenon_H248.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H24b. zenon_intro zenon_H24a.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H24d. zenon_intro zenon_H24c.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H24f. zenon_intro zenon_H24e.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H251. zenon_intro zenon_H250.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H253. zenon_intro zenon_H252.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H255. zenon_intro zenon_H254.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H257. zenon_intro zenon_H256.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_He0. zenon_intro zenon_H258.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H88. zenon_intro zenon_H259.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H25b. zenon_intro zenon_H25a.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H25d. zenon_intro zenon_H25c.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H25f. zenon_intro zenon_H25e.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H261. zenon_intro zenon_H260.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H18f. zenon_intro zenon_H262.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H262). zenon_intro zenon_H264. zenon_intro zenon_H263.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H175. zenon_intro zenon_H265.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_H267. zenon_intro zenon_H266.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_Hc2. zenon_intro zenon_H268.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H268). zenon_intro zenon_H26a. zenon_intro zenon_H269.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H26c. zenon_intro zenon_H26b.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_Hd9. zenon_intro zenon_H26d.
% 33.97/34.15 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H26f. zenon_intro zenon_H26e.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H271. zenon_intro zenon_H270.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H273. zenon_intro zenon_H272.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H272). zenon_intro zenon_H275. zenon_intro zenon_H274.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H277. zenon_intro zenon_H276.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H279. zenon_intro zenon_H278.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H27b. zenon_intro zenon_H27a.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H27d. zenon_intro zenon_H27c.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H27f. zenon_intro zenon_H27e.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_H281. zenon_intro zenon_H280.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H283. zenon_intro zenon_H282.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H285. zenon_intro zenon_H284.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H287. zenon_intro zenon_H286.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H289. zenon_intro zenon_H288.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H14b. zenon_intro zenon_H28a.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H150. zenon_intro zenon_H28b.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H155. zenon_intro zenon_H28c.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H28e. zenon_intro zenon_H28d.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H290. zenon_intro zenon_H28f.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H292. zenon_intro zenon_H291.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H294. zenon_intro zenon_H293.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H296. zenon_intro zenon_H295.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H298. zenon_intro zenon_H297.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H29a. zenon_intro zenon_H299.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H29c. zenon_intro zenon_H29b.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H29e. zenon_intro zenon_H29d.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H2a0. zenon_intro zenon_H29f.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H2a2. zenon_intro zenon_H2a1.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H2a4. zenon_intro zenon_H2a3.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H2a6. zenon_intro zenon_H2a5.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H2a8. zenon_intro zenon_H2a7.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H2ac. zenon_intro zenon_H2ab.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H2ae. zenon_intro zenon_H2ad.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H2b0. zenon_intro zenon_H2af.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H2b2. zenon_intro zenon_H2b1.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2b8. zenon_intro zenon_H2b7.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ba. zenon_intro zenon_H2b9.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H2c6. zenon_intro zenon_H2c5.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2c8. zenon_intro zenon_H2c7.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H2ca. zenon_intro zenon_H2c9.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H2cc. zenon_intro zenon_H2cb.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H2ce. zenon_intro zenon_H2cd.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H41. zenon_intro zenon_H2cf.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H10b. zenon_intro zenon_H2d0.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H15f. zenon_intro zenon_H2d1.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H163. zenon_intro zenon_H2d2.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H137. zenon_intro zenon_H2d3.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H51. zenon_intro zenon_H2d4.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H166. zenon_intro zenon_H2d5.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_Hb. zenon_intro zenon_H2d6.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_Ha1. zenon_intro zenon_H2d7.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H167. zenon_intro zenon_H2d8.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H18. zenon_intro zenon_H2d9.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H103. zenon_intro zenon_H2da.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H2d. zenon_intro zenon_H2db.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H112. zenon_intro zenon_H2dc.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H109. zenon_intro zenon_H2dd.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H111. zenon_intro zenon_H2de.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H115. zenon_intro zenon_H2df.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H49. zenon_intro zenon_H2e0.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_Haa. zenon_intro zenon_H2e1.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H116. zenon_intro zenon_H2e2.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_Hbb. zenon_intro zenon_H2e3.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_Hfc. zenon_intro zenon_H2e4.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H57. zenon_intro zenon_H2e5.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hb6. zenon_intro zenon_H2e6.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_Hfe. zenon_intro zenon_H2e7.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H6e. zenon_intro zenon_H2e8.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e9.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_Hff. zenon_intro zenon_H2ea.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H2ec. zenon_intro zenon_H2eb.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H1f. zenon_intro zenon_H2ed.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H61. zenon_intro zenon_H2ee.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H8e. zenon_intro zenon_H2ef.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H68. zenon_intro zenon_H2f0.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H7b. zenon_intro zenon_H2f1.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H9f. zenon_intro zenon_H2f2.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H73. zenon_intro zenon_H2f3.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H81. zenon_intro zenon_H2f4.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H77. zenon_intro zenon_H2f5.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H83. zenon_intro zenon_H2f6.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H87. zenon_intro zenon_H2f7.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H9b. zenon_intro zenon_H2f8.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_Hc8. zenon_intro zenon_H2f9.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_Hcc. zenon_intro zenon_H2fa.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_He6. zenon_intro zenon_H2fb.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H32. zenon_intro zenon_H2fc.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_Hb1. zenon_intro zenon_H2fd.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_He8. zenon_intro zenon_H2fe.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H91. zenon_intro zenon_H2ff.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_He9. zenon_intro zenon_Hd4.
% 33.97/34.15 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H129. zenon_intro zenon_H300.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H302. zenon_intro zenon_H301.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H18a. zenon_intro zenon_H303.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H305. zenon_intro zenon_H304.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H307. zenon_intro zenon_H306.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H16d. zenon_intro zenon_H308.
% 33.97/34.15 apply (zenon_and_s _ _ ax6). zenon_intro zenon_H11f. zenon_intro zenon_H309.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H34. zenon_intro zenon_H22.
% 33.97/34.15 apply zenon_G. zenon_intro zenon_H30a.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H30c. zenon_intro zenon_H30b.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H30e. zenon_intro zenon_H30d.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H310. zenon_intro zenon_H30f.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H312. zenon_intro zenon_H311.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H314. zenon_intro zenon_H313.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H162. zenon_intro zenon_H315.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H149. zenon_intro zenon_H316.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H318. zenon_intro zenon_H317.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H31a. zenon_intro zenon_H319.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H31c. zenon_intro zenon_H31b.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H133. zenon_intro zenon_H31d.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H1de. zenon_intro zenon_H31e.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H101. zenon_intro zenon_H31f.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H1df. zenon_intro zenon_H320.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H1e0. zenon_intro zenon_H321.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H323. zenon_intro zenon_H322.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H1db. zenon_intro zenon_H324.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_Hf1. zenon_intro zenon_H325.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hee. zenon_intro zenon_H326.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H1dd. zenon_intro zenon_H327.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H148. zenon_intro zenon_H328.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H1dc. zenon_intro zenon_H329.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_Hef. zenon_intro zenon_H32a.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H147. zenon_intro zenon_H32b.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_Hea. zenon_intro zenon_H32c.
% 33.97/34.15 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H1c8. zenon_intro zenon_H32d.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H32e | zenon_intro zenon_H179 ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H15a | zenon_intro zenon_H17 ].
% 33.97/34.15 apply (zenon_L220_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H118 | zenon_intro zenon_H11b ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H12e | zenon_intro zenon_Hba ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H32f ].
% 33.97/34.15 exact (zenon_H32e zenon_H179).
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H43 | zenon_intro zenon_H330 ].
% 33.97/34.15 apply (zenon_L181_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H10c | zenon_intro zenon_H331 ].
% 33.97/34.15 apply (zenon_L221_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H160 | zenon_intro zenon_H164 ].
% 33.97/34.15 apply (zenon_L232_); trivial.
% 33.97/34.15 apply (zenon_L236_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He1 | zenon_intro zenon_H76 ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H89 | zenon_intro zenon_H8d ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13c | zenon_intro zenon_H9a ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H144 | zenon_intro zenon_Ha5 ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc9 ].
% 33.97/34.15 apply (zenon_L237_); trivial.
% 33.97/34.15 apply (zenon_L246_); trivial.
% 33.97/34.15 apply (zenon_L249_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H144 | zenon_intro zenon_Ha5 ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc9 ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hda | zenon_intro zenon_Hde ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H32f ].
% 33.97/34.15 exact (zenon_H32e zenon_H179).
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H43 | zenon_intro zenon_H330 ].
% 33.97/34.15 apply (zenon_L253_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H10c | zenon_intro zenon_H331 ].
% 33.97/34.15 apply (zenon_L154_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H160 | zenon_intro zenon_H164 ].
% 33.97/34.15 apply (zenon_L254_); trivial.
% 33.97/34.15 apply (zenon_L257_); trivial.
% 33.97/34.15 apply (zenon_L99_); trivial.
% 33.97/34.15 apply (zenon_L246_); trivial.
% 33.97/34.15 apply (zenon_L258_); trivial.
% 33.97/34.15 apply (zenon_L111_); trivial.
% 33.97/34.15 apply (zenon_L259_); trivial.
% 33.97/34.15 apply (zenon_L260_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H15a | zenon_intro zenon_H17 ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H43 | zenon_intro zenon_H15b ].
% 33.97/34.15 apply (zenon_L262_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H15d | zenon_intro zenon_H15c ].
% 33.97/34.15 exact (zenon_H15a zenon_H15d).
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H14a | zenon_intro zenon_H15e ].
% 33.97/34.15 apply (zenon_L217_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 33.97/34.15 apply (zenon_L218_); trivial.
% 33.97/34.15 apply (zenon_L219_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H10f ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H12e | zenon_intro zenon_Hba ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hfb ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H10c | zenon_intro zenon_H12f ].
% 33.97/34.15 apply (zenon_L221_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H120 | zenon_intro zenon_H130 ].
% 33.97/34.15 apply (zenon_L175_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H132 | zenon_intro zenon_H131 ].
% 33.97/34.15 exact (zenon_H12e zenon_H132).
% 33.97/34.15 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H125 | zenon_intro zenon_H128 ].
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hba | zenon_intro zenon_Hf8 ].
% 33.97/34.15 apply (zenon_L333_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf9 ].
% 33.97/34.15 apply (zenon_L345_); trivial.
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfa ].
% 33.97/34.15 exact (zenon_Hf7 zenon_Hfb).
% 33.97/34.15 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H59 | zenon_intro zenon_Hb7 ].
% 33.97/34.15 apply (zenon_L135_); trivial.
% 33.97/34.15 apply (zenon_L215_); trivial.
% 33.97/34.15 apply (zenon_L179_); trivial.
% 33.97/34.15 apply (zenon_L142_); trivial.
% 33.97/34.15 apply (zenon_L333_); trivial.
% 33.97/34.15 apply (zenon_L346_); trivial.
% 33.97/34.15 Qed.
% 33.97/34.15 % SZS output end Proof
% 33.97/34.15 (* END-PROOF *)
% 33.97/34.15 nodes searched: 247582
% 33.97/34.15 max branch formulas: 956
% 33.97/34.15 proof nodes created: 25012
% 33.97/34.15 formulas created: 169848
% 33.97/34.15
%------------------------------------------------------------------------------