TSTP Solution File: ALG161+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : ALG161+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 18:30:48 EDT 2022
% Result : Unsatisfiable 10.95s 11.18s
% Output : Proof 11.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG161+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 06:35:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 10.95/11.18 (* PROOF-FOUND *)
% 10.95/11.18 % SZS status Unsatisfiable
% 10.95/11.18 (* BEGIN-PROOF *)
% 10.95/11.18 % SZS output start Proof
% 10.95/11.18 Theorem zenon_thm : False.
% 10.95/11.18 Proof.
% 10.95/11.18 assert (zenon_L1_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H1d zenon_H1e zenon_H1f.
% 10.95/11.18 cut (((op (e0) (e0)) = (e1)) = ((op (e0) (e0)) = (op (e1) (e0)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H1d.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H1e.
% 10.95/11.18 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 10.95/11.18 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 10.95/11.18 congruence.
% 10.95/11.18 apply zenon_H21. apply refl_equal.
% 10.95/11.18 apply zenon_H20. apply sym_equal. exact zenon_H1f.
% 10.95/11.18 (* end of lemma zenon_L1_ *)
% 10.95/11.18 assert (zenon_L2_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H22 zenon_H23 zenon_H24.
% 10.95/11.18 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e1) (e1)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H22.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H23.
% 10.95/11.18 cut (((e0) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H25].
% 10.95/11.18 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 10.95/11.18 congruence.
% 10.95/11.18 apply zenon_H26. apply refl_equal.
% 10.95/11.18 apply zenon_H25. apply sym_equal. exact zenon_H24.
% 10.95/11.18 (* end of lemma zenon_L2_ *)
% 10.95/11.18 assert (zenon_L3_ : (((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\(((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))/\(((~((op (e0) (e1)) = (e0)))\/((op (e0) (e0)) = (e1)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e1)) = (e2)))\/((op (e2) (e2)) = (e1)))/\((~((op (e3) (e1)) = (e3)))\/((op (e3) (e3)) = (e1)))))))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e0)) = (e1)) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H27 zenon_H24 zenon_H22 zenon_H1e.
% 10.95/11.18 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2a | zenon_intro zenon_H23 ].
% 10.95/11.18 exact (zenon_H2a zenon_H1e).
% 10.95/11.18 apply (zenon_L2_); trivial.
% 10.95/11.18 (* end of lemma zenon_L3_ *)
% 10.95/11.18 assert (zenon_L4_ : (~((e0) = (e0))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H2b.
% 10.95/11.18 apply zenon_H2b. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L4_ *)
% 10.95/11.18 assert (zenon_L5_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e1))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H2c zenon_H1e zenon_H2d.
% 10.95/11.18 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 10.95/11.18 cut (((e1) = (e1)) = ((e0) = (e1))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H2d.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H2e.
% 10.95/11.18 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 10.95/11.18 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e0) (e0)) = (e0)) = ((e1) = (e0))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H30.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H2c.
% 10.95/11.18 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 10.95/11.18 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 10.95/11.18 congruence.
% 10.95/11.18 exact (zenon_H2a zenon_H1e).
% 10.95/11.18 apply zenon_H2b. apply refl_equal.
% 10.95/11.18 apply zenon_H2f. apply refl_equal.
% 10.95/11.18 apply zenon_H2f. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L5_ *)
% 10.95/11.18 assert (zenon_L6_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H31 zenon_H2c zenon_H32.
% 10.95/11.18 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H33 | zenon_intro zenon_H34 ].
% 10.95/11.18 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e0)) = (op (e0) (e3)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H32.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H33.
% 10.95/11.18 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 10.95/11.18 cut (((op (e0) (e3)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H35].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e0) (e0)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H35.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H31.
% 10.95/11.18 cut (((e0) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 10.95/11.18 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 10.95/11.18 congruence.
% 10.95/11.18 apply zenon_H34. apply refl_equal.
% 10.95/11.18 apply zenon_H36. apply sym_equal. exact zenon_H2c.
% 10.95/11.18 apply zenon_H34. apply refl_equal.
% 10.95/11.18 apply zenon_H34. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L6_ *)
% 10.95/11.18 assert (zenon_L7_ : (~((e1) = (e1))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H2f.
% 10.95/11.18 apply zenon_H2f. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L7_ *)
% 10.95/11.18 assert (zenon_L8_ : ((op (e0) (e0)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (e3))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H1e zenon_H37 zenon_H38.
% 10.95/11.18 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 10.95/11.18 cut (((e3) = (e3)) = ((e1) = (e3))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H38.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H39.
% 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.18 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3b].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e0) (e0)) = (e1)) = ((e3) = (e1))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H3b.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H1e.
% 10.95/11.18 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 10.95/11.18 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 10.95/11.18 congruence.
% 10.95/11.18 exact (zenon_H3c zenon_H37).
% 10.95/11.18 apply zenon_H2f. apply refl_equal.
% 10.95/11.18 apply zenon_H3a. apply refl_equal.
% 10.95/11.18 apply zenon_H3a. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L8_ *)
% 10.95/11.18 assert (zenon_L9_ : ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> (~((e1) = (e3))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H1f zenon_H3d zenon_H38.
% 10.95/11.18 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 10.95/11.18 cut (((e3) = (e3)) = ((e1) = (e3))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H38.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H39.
% 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.18 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3b].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e1) (e0)) = (e1)) = ((e3) = (e1))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H3b.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H1f.
% 10.95/11.18 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 10.95/11.18 cut (((op (e1) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 10.95/11.18 congruence.
% 10.95/11.18 exact (zenon_H3e zenon_H3d).
% 10.95/11.18 apply zenon_H2f. apply refl_equal.
% 10.95/11.18 apply zenon_H3a. apply refl_equal.
% 10.95/11.18 apply zenon_H3a. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L9_ *)
% 10.95/11.18 assert (zenon_L10_ : ((op (e1) (e1)) = (e0)) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e1))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H24 zenon_H3f zenon_H2d.
% 10.95/11.18 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 10.95/11.18 cut (((e1) = (e1)) = ((e0) = (e1))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H2d.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H2e.
% 10.95/11.18 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 10.95/11.18 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e1) (e1)) = (e0)) = ((e1) = (e0))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H30.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H24.
% 10.95/11.18 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 10.95/11.18 cut (((op (e1) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 10.95/11.18 congruence.
% 10.95/11.18 exact (zenon_H40 zenon_H3f).
% 10.95/11.18 apply zenon_H2b. apply refl_equal.
% 10.95/11.18 apply zenon_H2f. apply refl_equal.
% 10.95/11.18 apply zenon_H2f. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L10_ *)
% 10.95/11.18 assert (zenon_L11_ : (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e2)) = (e1)) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H41 zenon_H1e zenon_H42.
% 10.95/11.18 cut (((op (e0) (e0)) = (e1)) = ((op (e0) (e0)) = (op (e0) (e2)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H41.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H1e.
% 10.95/11.18 cut (((e1) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H43].
% 10.95/11.18 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 10.95/11.18 congruence.
% 10.95/11.18 apply zenon_H21. apply refl_equal.
% 10.95/11.18 apply zenon_H43. apply sym_equal. exact zenon_H42.
% 10.95/11.18 (* end of lemma zenon_L11_ *)
% 10.95/11.18 assert (zenon_L12_ : (~((op (e0) (op (e0) (e0))) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e1)) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H44 zenon_H1e.
% 10.95/11.18 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 10.95/11.18 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 10.95/11.18 congruence.
% 10.95/11.18 apply zenon_H2b. apply refl_equal.
% 10.95/11.18 exact (zenon_H2a zenon_H1e).
% 10.95/11.18 (* end of lemma zenon_L12_ *)
% 10.95/11.18 assert (zenon_L13_ : (~((e2) = (e2))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H45.
% 10.95/11.18 apply zenon_H45. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L13_ *)
% 10.95/11.18 assert (zenon_L14_ : (~((e3) = (e3))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H3a.
% 10.95/11.18 apply zenon_H3a. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L14_ *)
% 10.95/11.18 assert (zenon_L15_ : ((op (e0) (e1)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> (~((e2) = (op (e0) (op (e0) (e0))))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H46 zenon_H1e zenon_H47.
% 10.95/11.18 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ].
% 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((e2) = (op (e0) (op (e0) (e0))))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H47.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H48.
% 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (op (e0) (e0))) = (e2))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H4a.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H46.
% 10.95/11.18 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.18 cut (((op (e0) (e1)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 10.95/11.18 congruence.
% 10.95/11.18 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ].
% 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e1)) = (op (e0) (op (e0) (e0))))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H4b.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H48.
% 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 10.95/11.18 congruence.
% 10.95/11.18 apply (zenon_L12_); trivial.
% 10.95/11.18 apply zenon_H49. apply refl_equal.
% 10.95/11.18 apply zenon_H49. apply refl_equal.
% 10.95/11.18 apply zenon_H45. apply refl_equal.
% 10.95/11.18 apply zenon_H49. apply refl_equal.
% 10.95/11.18 apply zenon_H49. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L15_ *)
% 10.95/11.18 assert (zenon_L16_ : ((op (e2) (e0)) = (e3)) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H4c zenon_H46 zenon_H1e.
% 10.95/11.18 apply (zenon_notand_s _ _ ax7); [ zenon_intro zenon_H4e | zenon_intro zenon_H4d ].
% 10.95/11.18 apply zenon_H4e. apply sym_equal. exact zenon_H1e.
% 10.95/11.18 apply (zenon_notand_s _ _ zenon_H4d); [ zenon_intro zenon_H4f | zenon_intro zenon_H47 ].
% 10.95/11.18 elim (classic ((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ].
% 10.95/11.18 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0))) = ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H4f.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H50.
% 10.95/11.18 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 10.95/11.18 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e2) (e0)) = (e3)) = ((op (op (e0) (op (e0) (e0))) (e0)) = (e3))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H52.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H4c.
% 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.18 cut (((op (e2) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 10.95/11.18 congruence.
% 10.95/11.18 elim (classic ((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ].
% 10.95/11.18 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0))) = ((op (e2) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H53.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H50.
% 10.95/11.18 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 10.95/11.18 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (op (e0) (e0))) = (e2))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H4a.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H46.
% 10.95/11.18 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.18 cut (((op (e0) (e1)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 10.95/11.18 congruence.
% 10.95/11.18 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ].
% 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e1)) = (op (e0) (op (e0) (e0))))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H4b.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H48.
% 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 10.95/11.18 congruence.
% 10.95/11.18 apply (zenon_L12_); trivial.
% 10.95/11.18 apply zenon_H49. apply refl_equal.
% 10.95/11.18 apply zenon_H49. apply refl_equal.
% 10.95/11.18 apply zenon_H45. apply refl_equal.
% 10.95/11.18 apply zenon_H2b. apply refl_equal.
% 10.95/11.18 apply zenon_H51. apply refl_equal.
% 10.95/11.18 apply zenon_H51. apply refl_equal.
% 10.95/11.18 apply zenon_H3a. apply refl_equal.
% 10.95/11.18 apply zenon_H51. apply refl_equal.
% 10.95/11.18 apply zenon_H51. apply refl_equal.
% 10.95/11.18 apply (zenon_L15_); trivial.
% 10.95/11.18 (* end of lemma zenon_L16_ *)
% 10.95/11.18 assert (zenon_L17_ : (~((op (e1) (op (e1) (e1))) = (op (e1) (e0)))) -> ((op (e1) (e1)) = (e0)) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H55 zenon_H24.
% 10.95/11.18 cut (((op (e1) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 10.95/11.18 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 10.95/11.18 congruence.
% 10.95/11.18 apply zenon_H2f. apply refl_equal.
% 10.95/11.18 exact (zenon_H56 zenon_H24).
% 10.95/11.18 (* end of lemma zenon_L17_ *)
% 10.95/11.18 assert (zenon_L18_ : ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (~((e2) = (op (e1) (op (e1) (e1))))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H57 zenon_H24 zenon_H58.
% 10.95/11.18 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ].
% 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e2) = (op (e1) (op (e1) (e1))))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H58.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H59.
% 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5b].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e1) (e0)) = (e2)) = ((op (e1) (op (e1) (e1))) = (e2))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H5b.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H57.
% 10.95/11.18 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.18 cut (((op (e1) (e0)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 10.95/11.18 congruence.
% 10.95/11.18 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ].
% 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e0)) = (op (e1) (op (e1) (e1))))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H5c.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H59.
% 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 10.95/11.18 congruence.
% 10.95/11.18 apply (zenon_L17_); trivial.
% 10.95/11.18 apply zenon_H5a. apply refl_equal.
% 10.95/11.18 apply zenon_H5a. apply refl_equal.
% 10.95/11.18 apply zenon_H45. apply refl_equal.
% 10.95/11.18 apply zenon_H5a. apply refl_equal.
% 10.95/11.18 apply zenon_H5a. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L18_ *)
% 10.95/11.18 assert (zenon_L19_ : ((op (e2) (e1)) = (e3)) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H5d zenon_H57 zenon_H24.
% 10.95/11.18 apply (zenon_notand_s _ _ ax13); [ zenon_intro zenon_H25 | zenon_intro zenon_H5e ].
% 10.95/11.18 apply zenon_H25. apply sym_equal. exact zenon_H24.
% 10.95/11.18 apply (zenon_notand_s _ _ zenon_H5e); [ zenon_intro zenon_H5f | zenon_intro zenon_H58 ].
% 10.95/11.18 elim (classic ((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ].
% 10.95/11.18 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1))) = ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H5f.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H60.
% 10.95/11.18 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H61].
% 10.95/11.18 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e2) (e1)) = (e3)) = ((op (op (e1) (op (e1) (e1))) (e1)) = (e3))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H62.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H5d.
% 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.18 cut (((op (e2) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H63].
% 10.95/11.18 congruence.
% 10.95/11.18 elim (classic ((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ].
% 10.95/11.18 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1))) = ((op (e2) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H63.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H60.
% 10.95/11.18 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H61].
% 10.95/11.18 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5b].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e1) (e0)) = (e2)) = ((op (e1) (op (e1) (e1))) = (e2))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H5b.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H57.
% 10.95/11.18 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.18 cut (((op (e1) (e0)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 10.95/11.18 congruence.
% 10.95/11.18 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ].
% 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e0)) = (op (e1) (op (e1) (e1))))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H5c.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H59.
% 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 10.95/11.18 congruence.
% 10.95/11.18 apply (zenon_L17_); trivial.
% 10.95/11.18 apply zenon_H5a. apply refl_equal.
% 10.95/11.18 apply zenon_H5a. apply refl_equal.
% 10.95/11.18 apply zenon_H45. apply refl_equal.
% 10.95/11.18 apply zenon_H2f. apply refl_equal.
% 10.95/11.18 apply zenon_H61. apply refl_equal.
% 10.95/11.18 apply zenon_H61. apply refl_equal.
% 10.95/11.18 apply zenon_H3a. apply refl_equal.
% 10.95/11.18 apply zenon_H61. apply refl_equal.
% 10.95/11.18 apply zenon_H61. apply refl_equal.
% 10.95/11.18 apply (zenon_L18_); trivial.
% 10.95/11.18 (* end of lemma zenon_L19_ *)
% 10.95/11.18 assert (zenon_L20_ : (~((e1) = (e3))) -> ((op (e2) (e2)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H38 zenon_H65 zenon_H66.
% 10.95/11.18 cut (((op (e2) (e2)) = (e3)) = ((e1) = (e3))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H38.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H65.
% 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.18 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H67].
% 10.95/11.18 congruence.
% 10.95/11.18 exact (zenon_H67 zenon_H66).
% 10.95/11.18 apply zenon_H3a. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L20_ *)
% 10.95/11.18 assert (zenon_L21_ : ((op (e3) (e3)) = (e0)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H68 zenon_H31 zenon_H69.
% 10.95/11.18 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ].
% 10.95/11.18 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e0) (e3)) = (op (e3) (e3)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H69.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H6a.
% 10.95/11.18 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 10.95/11.18 cut (((op (e3) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e3) (e3)) = (e0)) = ((op (e3) (e3)) = (op (e0) (e3)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H6c.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H68.
% 10.95/11.18 cut (((e0) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6d].
% 10.95/11.18 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 10.95/11.18 congruence.
% 10.95/11.18 apply zenon_H6b. apply refl_equal.
% 10.95/11.18 apply zenon_H6d. apply sym_equal. exact zenon_H31.
% 10.95/11.18 apply zenon_H6b. apply refl_equal.
% 10.95/11.18 apply zenon_H6b. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L21_ *)
% 10.95/11.18 assert (zenon_L22_ : ((op (e3) (e3)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H6e zenon_H6f zenon_H70.
% 10.95/11.18 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ].
% 10.95/11.18 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e1) (e3)) = (op (e3) (e3)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H70.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H6a.
% 10.95/11.18 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 10.95/11.18 cut (((op (e3) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e3) (e3)) = (e1)) = ((op (e3) (e3)) = (op (e1) (e3)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H71.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H6e.
% 10.95/11.18 cut (((e1) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H72].
% 10.95/11.18 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 10.95/11.18 congruence.
% 10.95/11.18 apply zenon_H6b. apply refl_equal.
% 10.95/11.18 apply zenon_H72. apply sym_equal. exact zenon_H6f.
% 10.95/11.18 apply zenon_H6b. apply refl_equal.
% 10.95/11.18 apply zenon_H6b. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L22_ *)
% 10.95/11.18 assert (zenon_L23_ : ((op (e3) (e3)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H73 zenon_H74 zenon_H75.
% 10.95/11.18 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ].
% 10.95/11.18 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e2) (e3)) = (op (e3) (e3)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H75.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H6a.
% 10.95/11.18 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 10.95/11.18 cut (((op (e3) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e2) (e3)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H76.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H73.
% 10.95/11.18 cut (((e3) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H77].
% 10.95/11.18 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 10.95/11.18 congruence.
% 10.95/11.18 apply zenon_H6b. apply refl_equal.
% 10.95/11.18 apply zenon_H77. apply sym_equal. exact zenon_H74.
% 10.95/11.18 apply zenon_H6b. apply refl_equal.
% 10.95/11.18 apply zenon_H6b. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L23_ *)
% 10.95/11.18 assert (zenon_L24_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H78 zenon_H69 zenon_H31 zenon_H70 zenon_H6f zenon_H79 zenon_H74 zenon_H75.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H68 | zenon_intro zenon_H7a ].
% 10.95/11.18 apply (zenon_L21_); trivial.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H6e | zenon_intro zenon_H7b ].
% 10.95/11.18 apply (zenon_L22_); trivial.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7c | zenon_intro zenon_H73 ].
% 10.95/11.18 exact (zenon_H79 zenon_H7c).
% 10.95/11.18 apply (zenon_L23_); trivial.
% 10.95/11.18 (* end of lemma zenon_L24_ *)
% 10.95/11.18 assert (zenon_L25_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H7d zenon_H1e zenon_H46 zenon_H24 zenon_H57 zenon_H66 zenon_H38 zenon_H78 zenon_H69 zenon_H31 zenon_H70 zenon_H6f zenon_H79 zenon_H75.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ].
% 10.95/11.18 apply (zenon_L16_); trivial.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ].
% 10.95/11.18 apply (zenon_L19_); trivial.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ].
% 10.95/11.18 apply (zenon_L20_); trivial.
% 10.95/11.18 apply (zenon_L24_); trivial.
% 10.95/11.18 (* end of lemma zenon_L25_ *)
% 10.95/11.18 assert (zenon_L26_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e3)) -> (~((e0) = (e3))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H80 zenon_H4c zenon_H81.
% 10.95/11.18 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 10.95/11.18 cut (((e3) = (e3)) = ((e0) = (e3))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H81.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H39.
% 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.18 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e2) (e0)) = (e0)) = ((e3) = (e0))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H82.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H80.
% 10.95/11.18 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 10.95/11.18 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H83].
% 10.95/11.18 congruence.
% 10.95/11.18 exact (zenon_H83 zenon_H4c).
% 10.95/11.18 apply zenon_H2b. apply refl_equal.
% 10.95/11.18 apply zenon_H3a. apply refl_equal.
% 10.95/11.18 apply zenon_H3a. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L26_ *)
% 10.95/11.18 assert (zenon_L27_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H84 zenon_H42 zenon_H85.
% 10.95/11.18 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e3) (e2)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H84.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H42.
% 10.95/11.18 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 10.95/11.18 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 10.95/11.18 congruence.
% 10.95/11.18 apply zenon_H87. apply refl_equal.
% 10.95/11.18 apply zenon_H86. apply sym_equal. exact zenon_H85.
% 10.95/11.18 (* end of lemma zenon_L27_ *)
% 10.95/11.18 assert (zenon_L28_ : (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H88 zenon_H37 zenon_H89.
% 10.95/11.18 cut (((op (e0) (e0)) = (e3)) = ((op (e0) (e0)) = (op (e0) (e1)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H88.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H37.
% 10.95/11.18 cut (((e3) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 10.95/11.18 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 10.95/11.18 congruence.
% 10.95/11.18 apply zenon_H21. apply refl_equal.
% 10.95/11.18 apply zenon_H8a. apply sym_equal. exact zenon_H89.
% 10.95/11.18 (* end of lemma zenon_L28_ *)
% 10.95/11.18 assert (zenon_L29_ : ((op (e0) (e1)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> (~((e3) = (op (e0) (op (e0) (e0))))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H89 zenon_H1e zenon_H8b.
% 10.95/11.18 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ].
% 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((e3) = (op (e0) (op (e0) (e0))))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H8b.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H48.
% 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8c].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e0) (e1)) = (e3)) = ((op (e0) (op (e0) (e0))) = (e3))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H8c.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H89.
% 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.18 cut (((op (e0) (e1)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 10.95/11.18 congruence.
% 10.95/11.18 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ].
% 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e1)) = (op (e0) (op (e0) (e0))))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H4b.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H48.
% 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 10.95/11.18 congruence.
% 10.95/11.18 apply (zenon_L12_); trivial.
% 10.95/11.18 apply zenon_H49. apply refl_equal.
% 10.95/11.18 apply zenon_H49. apply refl_equal.
% 10.95/11.18 apply zenon_H3a. apply refl_equal.
% 10.95/11.18 apply zenon_H49. apply refl_equal.
% 10.95/11.18 apply zenon_H49. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L29_ *)
% 10.95/11.18 assert (zenon_L30_ : ((op (e3) (e0)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H8d zenon_H89 zenon_H1e.
% 10.95/11.18 apply (zenon_notand_s _ _ ax6); [ zenon_intro zenon_H4e | zenon_intro zenon_H8e ].
% 10.95/11.18 apply zenon_H4e. apply sym_equal. exact zenon_H1e.
% 10.95/11.18 apply (zenon_notand_s _ _ zenon_H8e); [ zenon_intro zenon_H8f | zenon_intro zenon_H8b ].
% 10.95/11.18 elim (classic ((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ].
% 10.95/11.18 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0))) = ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H8f.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H50.
% 10.95/11.18 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 10.95/11.18 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e3) (e0)) = (e2)) = ((op (op (e0) (op (e0) (e0))) (e0)) = (e2))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H90.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H8d.
% 10.95/11.18 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.18 cut (((op (e3) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H91].
% 10.95/11.18 congruence.
% 10.95/11.18 elim (classic ((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ].
% 10.95/11.18 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0))) = ((op (e3) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H91.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H50.
% 10.95/11.18 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 10.95/11.18 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H92].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8c].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e0) (e1)) = (e3)) = ((op (e0) (op (e0) (e0))) = (e3))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H8c.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H89.
% 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.18 cut (((op (e0) (e1)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 10.95/11.18 congruence.
% 10.95/11.18 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ].
% 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e1)) = (op (e0) (op (e0) (e0))))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H4b.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H48.
% 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 10.95/11.18 congruence.
% 10.95/11.18 apply (zenon_L12_); trivial.
% 10.95/11.18 apply zenon_H49. apply refl_equal.
% 10.95/11.18 apply zenon_H49. apply refl_equal.
% 10.95/11.18 apply zenon_H3a. apply refl_equal.
% 10.95/11.18 apply zenon_H2b. apply refl_equal.
% 10.95/11.18 apply zenon_H51. apply refl_equal.
% 10.95/11.18 apply zenon_H51. apply refl_equal.
% 10.95/11.18 apply zenon_H45. apply refl_equal.
% 10.95/11.18 apply zenon_H51. apply refl_equal.
% 10.95/11.18 apply zenon_H51. apply refl_equal.
% 10.95/11.18 apply (zenon_L29_); trivial.
% 10.95/11.18 (* end of lemma zenon_L30_ *)
% 10.95/11.18 assert (zenon_L31_ : ((op (e1) (e0)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> (~((e3) = (op (e1) (op (e1) (e1))))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H3d zenon_H24 zenon_H93.
% 10.95/11.18 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ].
% 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e3) = (op (e1) (op (e1) (e1))))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H93.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H59.
% 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H94].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e1) (e0)) = (e3)) = ((op (e1) (op (e1) (e1))) = (e3))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H94.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H3d.
% 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.18 cut (((op (e1) (e0)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 10.95/11.18 congruence.
% 10.95/11.18 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ].
% 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e0)) = (op (e1) (op (e1) (e1))))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H5c.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H59.
% 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 10.95/11.18 congruence.
% 10.95/11.18 apply (zenon_L17_); trivial.
% 10.95/11.18 apply zenon_H5a. apply refl_equal.
% 10.95/11.18 apply zenon_H5a. apply refl_equal.
% 10.95/11.18 apply zenon_H3a. apply refl_equal.
% 10.95/11.18 apply zenon_H5a. apply refl_equal.
% 10.95/11.18 apply zenon_H5a. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L31_ *)
% 10.95/11.18 assert (zenon_L32_ : ((op (e3) (e1)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H95 zenon_H3d zenon_H24.
% 10.95/11.18 apply (zenon_notand_s _ _ ax12); [ zenon_intro zenon_H25 | zenon_intro zenon_H96 ].
% 10.95/11.18 apply zenon_H25. apply sym_equal. exact zenon_H24.
% 10.95/11.18 apply (zenon_notand_s _ _ zenon_H96); [ zenon_intro zenon_H97 | zenon_intro zenon_H93 ].
% 10.95/11.18 elim (classic ((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ].
% 10.95/11.18 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1))) = ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H97.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H60.
% 10.95/11.18 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H61].
% 10.95/11.18 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e3) (e1)) = (e2)) = ((op (op (e1) (op (e1) (e1))) (e1)) = (e2))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H98.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H95.
% 10.95/11.18 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.18 cut (((op (e3) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H99].
% 10.95/11.18 congruence.
% 10.95/11.18 elim (classic ((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ].
% 10.95/11.18 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1))) = ((op (e3) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H99.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H60.
% 10.95/11.18 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H61].
% 10.95/11.18 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H94].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e1) (e0)) = (e3)) = ((op (e1) (op (e1) (e1))) = (e3))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H94.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H3d.
% 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.18 cut (((op (e1) (e0)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 10.95/11.18 congruence.
% 10.95/11.18 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ].
% 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e0)) = (op (e1) (op (e1) (e1))))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H5c.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H59.
% 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 10.95/11.18 congruence.
% 10.95/11.18 apply (zenon_L17_); trivial.
% 10.95/11.18 apply zenon_H5a. apply refl_equal.
% 10.95/11.18 apply zenon_H5a. apply refl_equal.
% 10.95/11.18 apply zenon_H3a. apply refl_equal.
% 10.95/11.18 apply zenon_H2f. apply refl_equal.
% 10.95/11.18 apply zenon_H61. apply refl_equal.
% 10.95/11.18 apply zenon_H61. apply refl_equal.
% 10.95/11.18 apply zenon_H45. apply refl_equal.
% 10.95/11.18 apply zenon_H61. apply refl_equal.
% 10.95/11.18 apply zenon_H61. apply refl_equal.
% 10.95/11.18 apply (zenon_L31_); trivial.
% 10.95/11.18 (* end of lemma zenon_L32_ *)
% 10.95/11.18 assert (zenon_L33_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H84 zenon_H9b zenon_H9c.
% 10.95/11.18 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e3) (e2)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H84.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H9b.
% 10.95/11.18 cut (((e2) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9d].
% 10.95/11.18 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 10.95/11.18 congruence.
% 10.95/11.18 apply zenon_H87. apply refl_equal.
% 10.95/11.18 apply zenon_H9d. apply sym_equal. exact zenon_H9c.
% 10.95/11.18 (* end of lemma zenon_L33_ *)
% 10.95/11.18 assert (zenon_L34_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H9e zenon_H1e zenon_H89 zenon_H24 zenon_H3d zenon_H9b zenon_H84 zenon_H79.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 10.95/11.18 apply (zenon_L30_); trivial.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 10.95/11.18 apply (zenon_L32_); trivial.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 10.95/11.18 apply (zenon_L33_); trivial.
% 10.95/11.18 exact (zenon_H79 zenon_H7c).
% 10.95/11.18 (* end of lemma zenon_L34_ *)
% 10.95/11.18 assert (zenon_L35_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e1)) = (e0)) -> False).
% 10.95/11.18 do 0 intro. intros zenon_Ha1 zenon_H24 zenon_Ha2.
% 10.95/11.18 cut (((op (e1) (e1)) = (e0)) = ((op (e1) (e1)) = (op (e2) (e1)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_Ha1.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H24.
% 10.95/11.18 cut (((e0) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 10.95/11.18 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 10.95/11.18 congruence.
% 10.95/11.18 apply zenon_Ha4. apply refl_equal.
% 10.95/11.18 apply zenon_Ha3. apply sym_equal. exact zenon_Ha2.
% 10.95/11.18 (* end of lemma zenon_L35_ *)
% 10.95/11.18 assert (zenon_L36_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H42 zenon_H9b zenon_Ha5.
% 10.95/11.18 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ].
% 10.95/11.18 cut (((e2) = (e2)) = ((e1) = (e2))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_Ha5.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_Ha6.
% 10.95/11.18 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.18 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e0) (e2)) = (e1)) = ((e2) = (e1))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_Ha7.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H42.
% 10.95/11.18 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 10.95/11.18 cut (((op (e0) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Ha8].
% 10.95/11.18 congruence.
% 10.95/11.18 exact (zenon_Ha8 zenon_H9b).
% 10.95/11.18 apply zenon_H2f. apply refl_equal.
% 10.95/11.18 apply zenon_H45. apply refl_equal.
% 10.95/11.18 apply zenon_H45. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L36_ *)
% 10.95/11.18 assert (zenon_L37_ : (~((e0) = (e1))) -> ((op (e2) (e2)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H2d zenon_H66 zenon_Ha9.
% 10.95/11.18 cut (((op (e2) (e2)) = (e1)) = ((e0) = (e1))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H2d.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H66.
% 10.95/11.18 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 10.95/11.18 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 10.95/11.18 congruence.
% 10.95/11.18 exact (zenon_Haa zenon_Ha9).
% 10.95/11.18 apply zenon_H2f. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L37_ *)
% 10.95/11.18 assert (zenon_L38_ : (~((op (e2) (op (e2) (e2))) = (op (e2) (e0)))) -> ((op (e2) (e2)) = (e0)) -> False).
% 10.95/11.18 do 0 intro. intros zenon_Hab zenon_Ha9.
% 10.95/11.18 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 10.95/11.18 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.18 congruence.
% 10.95/11.18 apply zenon_H45. apply refl_equal.
% 10.95/11.18 exact (zenon_Haa zenon_Ha9).
% 10.95/11.18 (* end of lemma zenon_L38_ *)
% 10.95/11.18 assert (zenon_L39_ : ((op (e2) (e0)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> (~((e3) = (op (e2) (op (e2) (e2))))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H4c zenon_Ha9 zenon_Hac.
% 10.95/11.18 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 10.95/11.18 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((e3) = (op (e2) (op (e2) (e2))))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_Hac.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_Had.
% 10.95/11.18 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 10.95/11.18 cut (((op (e2) (op (e2) (e2))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e2) (e0)) = (e3)) = ((op (e2) (op (e2) (e2))) = (e3))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_Haf.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H4c.
% 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.18 cut (((op (e2) (e0)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 10.95/11.18 congruence.
% 10.95/11.18 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 10.95/11.18 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e0)) = (op (e2) (op (e2) (e2))))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_Hb0.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_Had.
% 10.95/11.18 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 10.95/11.18 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hab].
% 10.95/11.18 congruence.
% 10.95/11.18 apply (zenon_L38_); trivial.
% 10.95/11.18 apply zenon_Hae. apply refl_equal.
% 10.95/11.18 apply zenon_Hae. apply refl_equal.
% 10.95/11.18 apply zenon_H3a. apply refl_equal.
% 10.95/11.18 apply zenon_Hae. apply refl_equal.
% 10.95/11.18 apply zenon_Hae. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L39_ *)
% 10.95/11.18 assert (zenon_L40_ : ((op (e3) (e2)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H85 zenon_H4c zenon_Ha9.
% 10.95/11.18 apply (zenon_notand_s _ _ ax18); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb1 ].
% 10.95/11.18 apply zenon_Hb2. apply sym_equal. exact zenon_Ha9.
% 10.95/11.18 apply (zenon_notand_s _ _ zenon_Hb1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hac ].
% 10.95/11.18 elim (classic ((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ].
% 10.95/11.18 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2))) = ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_Hb3.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_Hb4.
% 10.95/11.18 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 10.95/11.18 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e3) (e2)) = (e1)) = ((op (op (e2) (op (e2) (e2))) (e2)) = (e1))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_Hb6.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H85.
% 10.95/11.18 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 10.95/11.18 cut (((op (e3) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb7].
% 10.95/11.18 congruence.
% 10.95/11.18 elim (classic ((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ].
% 10.95/11.18 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2))) = ((op (e3) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_Hb7.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_Hb4.
% 10.95/11.18 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 10.95/11.18 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb8].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.18 cut (((op (e2) (op (e2) (e2))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e2) (e0)) = (e3)) = ((op (e2) (op (e2) (e2))) = (e3))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_Haf.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H4c.
% 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.18 cut (((op (e2) (e0)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 10.95/11.18 congruence.
% 10.95/11.18 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 10.95/11.18 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e0)) = (op (e2) (op (e2) (e2))))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_Hb0.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_Had.
% 10.95/11.18 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 10.95/11.18 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hab].
% 10.95/11.18 congruence.
% 10.95/11.18 apply (zenon_L38_); trivial.
% 10.95/11.18 apply zenon_Hae. apply refl_equal.
% 10.95/11.18 apply zenon_Hae. apply refl_equal.
% 10.95/11.18 apply zenon_H3a. apply refl_equal.
% 10.95/11.18 apply zenon_H45. apply refl_equal.
% 10.95/11.18 apply zenon_Hb5. apply refl_equal.
% 10.95/11.18 apply zenon_Hb5. apply refl_equal.
% 10.95/11.18 apply zenon_H2f. apply refl_equal.
% 10.95/11.18 apply zenon_Hb5. apply refl_equal.
% 10.95/11.18 apply zenon_Hb5. apply refl_equal.
% 10.95/11.18 apply (zenon_L39_); trivial.
% 10.95/11.18 (* end of lemma zenon_L40_ *)
% 10.95/11.18 assert (zenon_L41_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False).
% 10.95/11.18 do 0 intro. intros zenon_Hb9 zenon_H31 zenon_Hba.
% 10.95/11.18 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_Hb9.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H31.
% 10.95/11.18 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hbb].
% 10.95/11.18 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 10.95/11.18 congruence.
% 10.95/11.18 apply zenon_H34. apply refl_equal.
% 10.95/11.18 apply zenon_Hbb. apply sym_equal. exact zenon_Hba.
% 10.95/11.18 (* end of lemma zenon_L41_ *)
% 10.95/11.18 assert (zenon_L42_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 10.95/11.18 do 0 intro. intros zenon_Hbc zenon_H81 zenon_H24 zenon_Ha1 zenon_H4c zenon_H2d zenon_Hbd zenon_H9b zenon_Ha5 zenon_Hbe zenon_Hb9 zenon_H31.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 10.95/11.18 apply (zenon_L26_); trivial.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 10.95/11.18 apply (zenon_L35_); trivial.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 10.95/11.18 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 10.95/11.18 apply (zenon_L36_); trivial.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 10.95/11.18 exact (zenon_Hbd zenon_Hc3).
% 10.95/11.18 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 10.95/11.18 apply (zenon_L37_); trivial.
% 10.95/11.18 apply (zenon_L40_); trivial.
% 10.95/11.18 apply (zenon_L41_); trivial.
% 10.95/11.18 (* end of lemma zenon_L42_ *)
% 10.95/11.18 assert (zenon_L43_ : ((op (e3) (e0)) = (e3)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_Hc4 zenon_H3d zenon_Hc5.
% 10.95/11.18 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ].
% 10.95/11.18 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e1) (e0)) = (op (e3) (e0)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_Hc5.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_Hc6.
% 10.95/11.18 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 10.95/11.18 cut (((op (e3) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc8].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e1) (e0)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_Hc8.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_Hc4.
% 10.95/11.18 cut (((e3) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc9].
% 10.95/11.18 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 10.95/11.18 congruence.
% 10.95/11.18 apply zenon_Hc7. apply refl_equal.
% 10.95/11.18 apply zenon_Hc9. apply sym_equal. exact zenon_H3d.
% 10.95/11.18 apply zenon_Hc7. apply refl_equal.
% 10.95/11.18 apply zenon_Hc7. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L43_ *)
% 10.95/11.18 assert (zenon_L44_ : (~((e0) = (e3))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H81 zenon_Hca zenon_H24.
% 10.95/11.18 cut (((op (e1) (e1)) = (e3)) = ((e0) = (e3))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H81.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_Hca.
% 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.18 cut (((op (e1) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 10.95/11.18 congruence.
% 10.95/11.18 exact (zenon_H56 zenon_H24).
% 10.95/11.18 apply zenon_H3a. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L44_ *)
% 10.95/11.18 assert (zenon_L45_ : ((op (e2) (e2)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H65 zenon_Hcb zenon_Hcc.
% 10.95/11.18 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hce ].
% 10.95/11.18 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e1) (e2)) = (op (e2) (e2)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_Hcc.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_Hcd.
% 10.95/11.18 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 10.95/11.18 cut (((op (e2) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e2) (e2)) = (e3)) = ((op (e2) (e2)) = (op (e1) (e2)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_Hcf.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H65.
% 10.95/11.18 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hd0].
% 10.95/11.18 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 10.95/11.18 congruence.
% 10.95/11.18 apply zenon_Hce. apply refl_equal.
% 10.95/11.18 apply zenon_Hd0. apply sym_equal. exact zenon_Hcb.
% 10.95/11.18 apply zenon_Hce. apply refl_equal.
% 10.95/11.18 apply zenon_Hce. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L45_ *)
% 10.95/11.18 assert (zenon_L46_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H7d zenon_H81 zenon_H80 zenon_H24 zenon_H57 zenon_Hcc zenon_Hcb zenon_H78 zenon_H69 zenon_H31 zenon_H70 zenon_H6f zenon_H79 zenon_H75.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ].
% 10.95/11.18 apply (zenon_L26_); trivial.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ].
% 10.95/11.18 apply (zenon_L19_); trivial.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ].
% 10.95/11.18 apply (zenon_L45_); trivial.
% 10.95/11.18 apply (zenon_L24_); trivial.
% 10.95/11.18 (* end of lemma zenon_L46_ *)
% 10.95/11.18 assert (zenon_L47_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e3))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H6f zenon_Hd1 zenon_H38.
% 10.95/11.18 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 10.95/11.18 cut (((e3) = (e3)) = ((e1) = (e3))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H38.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H39.
% 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.18 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3b].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e1) (e3)) = (e1)) = ((e3) = (e1))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_H3b.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H6f.
% 10.95/11.18 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 10.95/11.18 cut (((op (e1) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 10.95/11.18 congruence.
% 10.95/11.18 exact (zenon_Hd2 zenon_Hd1).
% 10.95/11.18 apply zenon_H2f. apply refl_equal.
% 10.95/11.18 apply zenon_H3a. apply refl_equal.
% 10.95/11.18 apply zenon_H3a. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L47_ *)
% 10.95/11.18 assert (zenon_L48_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_Hd3 zenon_Hc5 zenon_Hc4 zenon_H75 zenon_H79 zenon_H70 zenon_H31 zenon_H69 zenon_H78 zenon_Hcc zenon_H57 zenon_H24 zenon_H80 zenon_H81 zenon_H7d zenon_H6f zenon_H38.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 10.95/11.18 apply (zenon_L43_); trivial.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 10.95/11.18 apply (zenon_L44_); trivial.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 10.95/11.18 apply (zenon_L46_); trivial.
% 10.95/11.18 apply (zenon_L47_); trivial.
% 10.95/11.18 (* end of lemma zenon_L48_ *)
% 10.95/11.18 assert (zenon_L49_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_Hd6 zenon_H1e zenon_H1d zenon_H2d zenon_Hbd zenon_Hd3 zenon_Hc5 zenon_Hc4 zenon_H75 zenon_H79 zenon_H70 zenon_H31 zenon_H69 zenon_H78 zenon_Hcc zenon_H57 zenon_H24 zenon_H80 zenon_H81 zenon_H7d zenon_H38.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 10.95/11.18 apply (zenon_L1_); trivial.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 10.95/11.18 apply (zenon_L10_); trivial.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 10.95/11.18 exact (zenon_Hbd zenon_Hc3).
% 10.95/11.18 apply (zenon_L48_); trivial.
% 10.95/11.18 (* end of lemma zenon_L49_ *)
% 10.95/11.18 assert (zenon_L50_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_Hd9 zenon_H88 zenon_H84 zenon_H89 zenon_H9e zenon_Hb9 zenon_Hbe zenon_Ha5 zenon_H9b zenon_Ha1 zenon_Hbc zenon_Hd6 zenon_H1e zenon_H1d zenon_H2d zenon_Hbd zenon_Hd3 zenon_Hc5 zenon_H75 zenon_H79 zenon_H70 zenon_H31 zenon_H69 zenon_H78 zenon_Hcc zenon_H57 zenon_H24 zenon_H80 zenon_H81 zenon_H7d zenon_H38.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 10.95/11.18 apply (zenon_L28_); trivial.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 10.95/11.18 apply (zenon_L34_); trivial.
% 10.95/11.18 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 10.95/11.18 apply (zenon_L42_); trivial.
% 10.95/11.18 apply (zenon_L49_); trivial.
% 10.95/11.18 (* end of lemma zenon_L50_ *)
% 10.95/11.18 assert (zenon_L51_ : ((op (e2) (e2)) = (e3)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False).
% 10.95/11.18 do 0 intro. intros zenon_H65 zenon_Hdc zenon_Hdd.
% 10.95/11.18 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hce ].
% 10.95/11.18 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e0) (e2)) = (op (e2) (e2)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_Hdd.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_Hcd.
% 10.95/11.18 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 10.95/11.18 cut (((op (e2) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hde].
% 10.95/11.18 congruence.
% 10.95/11.18 cut (((op (e2) (e2)) = (e3)) = ((op (e2) (e2)) = (op (e0) (e2)))).
% 10.95/11.18 intro zenon_D_pnotp.
% 10.95/11.18 apply zenon_Hde.
% 10.95/11.18 rewrite <- zenon_D_pnotp.
% 10.95/11.18 exact zenon_H65.
% 10.95/11.18 cut (((e3) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hdf].
% 10.95/11.18 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 10.95/11.18 congruence.
% 10.95/11.18 apply zenon_Hce. apply refl_equal.
% 10.95/11.18 apply zenon_Hdf. apply sym_equal. exact zenon_Hdc.
% 10.95/11.18 apply zenon_Hce. apply refl_equal.
% 10.95/11.18 apply zenon_Hce. apply refl_equal.
% 10.95/11.18 (* end of lemma zenon_L51_ *)
% 10.95/11.18 assert (zenon_L52_ : (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H41 zenon_H46 zenon_Hdd zenon_Hd9 zenon_H88 zenon_H84 zenon_H89 zenon_H9e zenon_Hb9 zenon_Hbe zenon_Ha5 zenon_Ha1 zenon_Hbc zenon_Hd6 zenon_H1e zenon_H1d zenon_H2d zenon_Hbd zenon_Hd3 zenon_Hc5 zenon_Hcc zenon_H57 zenon_H24 zenon_H80 zenon_H81 zenon_H7d zenon_H38 zenon_He0 zenon_He1 zenon_H78 zenon_H69 zenon_H31 zenon_H70 zenon_H6f zenon_H79 zenon_H75.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 10.95/11.19 apply (zenon_L11_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 10.95/11.19 exact (zenon_Hbd zenon_Hc3).
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 10.95/11.19 apply (zenon_L25_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ].
% 10.95/11.19 apply (zenon_L26_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ].
% 10.95/11.19 apply (zenon_L19_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ].
% 10.95/11.19 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ].
% 10.95/11.19 exact (zenon_He0 zenon_He3).
% 10.95/11.19 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ].
% 10.95/11.19 apply (zenon_L27_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ].
% 10.95/11.19 apply (zenon_L50_); trivial.
% 10.95/11.19 apply (zenon_L51_); trivial.
% 10.95/11.19 apply (zenon_L24_); trivial.
% 10.95/11.19 (* end of lemma zenon_L52_ *)
% 10.95/11.19 assert (zenon_L53_ : (~((e0) = (e3))) -> ((op (e2) (e2)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H81 zenon_H65 zenon_Ha9.
% 10.95/11.19 cut (((op (e2) (e2)) = (e3)) = ((e0) = (e3))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H81.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H65.
% 10.95/11.19 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.19 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 10.95/11.19 congruence.
% 10.95/11.19 exact (zenon_Haa zenon_Ha9).
% 10.95/11.19 apply zenon_H3a. apply refl_equal.
% 10.95/11.19 (* end of lemma zenon_L53_ *)
% 10.95/11.19 assert (zenon_L54_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H7d zenon_H85 zenon_H24 zenon_H57 zenon_Ha9 zenon_H81 zenon_H78 zenon_H69 zenon_H31 zenon_H70 zenon_H6f zenon_H79 zenon_H75.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ].
% 10.95/11.19 apply (zenon_L40_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ].
% 10.95/11.19 apply (zenon_L19_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ].
% 10.95/11.19 apply (zenon_L53_); trivial.
% 10.95/11.19 apply (zenon_L24_); trivial.
% 10.95/11.19 (* end of lemma zenon_L54_ *)
% 10.95/11.19 assert (zenon_L55_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hbe zenon_H1e zenon_H41 zenon_Hbd zenon_H2d zenon_H7d zenon_H24 zenon_H57 zenon_Ha9 zenon_H81 zenon_H78 zenon_H69 zenon_H31 zenon_H70 zenon_H6f zenon_H79 zenon_H75.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 10.95/11.19 apply (zenon_L11_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 10.95/11.19 exact (zenon_Hbd zenon_Hc3).
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 10.95/11.19 apply (zenon_L37_); trivial.
% 10.95/11.19 apply (zenon_L54_); trivial.
% 10.95/11.19 (* end of lemma zenon_L55_ *)
% 10.95/11.19 assert (zenon_L56_ : ((op (e1) (e0)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e1))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_He5 zenon_H1f zenon_H2d.
% 10.95/11.19 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 10.95/11.19 cut (((e1) = (e1)) = ((e0) = (e1))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H2d.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H2e.
% 10.95/11.19 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 10.95/11.19 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 10.95/11.19 congruence.
% 10.95/11.19 cut (((op (e1) (e0)) = (e0)) = ((e1) = (e0))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H30.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_He5.
% 10.95/11.19 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 10.95/11.19 cut (((op (e1) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_He6].
% 10.95/11.19 congruence.
% 10.95/11.19 exact (zenon_He6 zenon_H1f).
% 10.95/11.19 apply zenon_H2b. apply refl_equal.
% 10.95/11.19 apply zenon_H2f. apply refl_equal.
% 10.95/11.19 apply zenon_H2f. apply refl_equal.
% 10.95/11.19 (* end of lemma zenon_L56_ *)
% 10.95/11.19 assert (zenon_L57_ : ((op (e1) (e1)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hca zenon_H89 zenon_H22.
% 10.95/11.19 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_He7 | zenon_intro zenon_Ha4 ].
% 10.95/11.19 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (e0) (e1)) = (op (e1) (e1)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H22.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_He7.
% 10.95/11.19 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 10.95/11.19 cut (((op (e1) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He8].
% 10.95/11.19 congruence.
% 10.95/11.19 cut (((op (e1) (e1)) = (e3)) = ((op (e1) (e1)) = (op (e0) (e1)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_He8.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_Hca.
% 10.95/11.19 cut (((e3) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 10.95/11.19 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_Ha4. apply refl_equal.
% 10.95/11.19 apply zenon_H8a. apply sym_equal. exact zenon_H89.
% 10.95/11.19 apply zenon_Ha4. apply refl_equal.
% 10.95/11.19 apply zenon_Ha4. apply refl_equal.
% 10.95/11.19 (* end of lemma zenon_L57_ *)
% 10.95/11.19 assert (zenon_L58_ : (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e2)) = (e3)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H41 zenon_H37 zenon_Hdc.
% 10.95/11.19 cut (((op (e0) (e0)) = (e3)) = ((op (e0) (e0)) = (op (e0) (e2)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H41.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H37.
% 10.95/11.19 cut (((e3) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hdf].
% 10.95/11.19 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_H21. apply refl_equal.
% 10.95/11.19 apply zenon_Hdf. apply sym_equal. exact zenon_Hdc.
% 10.95/11.19 (* end of lemma zenon_L58_ *)
% 10.95/11.19 assert (zenon_L59_ : (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_He9 zenon_H24 zenon_Hea.
% 10.95/11.19 cut (((op (e1) (e1)) = (e0)) = ((op (e1) (e1)) = (op (e1) (e2)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_He9.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H24.
% 10.95/11.19 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Heb].
% 10.95/11.19 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_Ha4. apply refl_equal.
% 10.95/11.19 apply zenon_Heb. apply sym_equal. exact zenon_Hea.
% 10.95/11.19 (* end of lemma zenon_L59_ *)
% 10.95/11.19 assert (zenon_L60_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hec zenon_H80 zenon_Ha9.
% 10.95/11.19 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e2) (e2)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_Hec.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H80.
% 10.95/11.19 cut (((e0) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb2].
% 10.95/11.19 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_Hed. apply refl_equal.
% 10.95/11.19 apply zenon_Hb2. apply sym_equal. exact zenon_Ha9.
% 10.95/11.19 (* end of lemma zenon_L60_ *)
% 10.95/11.19 assert (zenon_L61_ : (~((op (e2) (op (e2) (e2))) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e1)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hee zenon_H66.
% 10.95/11.19 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H67].
% 10.95/11.19 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_H45. apply refl_equal.
% 10.95/11.19 exact (zenon_H67 zenon_H66).
% 10.95/11.19 (* end of lemma zenon_L61_ *)
% 10.95/11.19 assert (zenon_L62_ : ((op (e2) (e1)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> (~((e3) = (op (e2) (op (e2) (e2))))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H5d zenon_H66 zenon_Hac.
% 10.95/11.19 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 10.95/11.19 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((e3) = (op (e2) (op (e2) (e2))))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_Hac.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_Had.
% 10.95/11.19 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 10.95/11.19 cut (((op (e2) (op (e2) (e2))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 10.95/11.19 congruence.
% 10.95/11.19 cut (((op (e2) (e1)) = (e3)) = ((op (e2) (op (e2) (e2))) = (e3))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_Haf.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H5d.
% 10.95/11.19 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.19 cut (((op (e2) (e1)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 10.95/11.19 congruence.
% 10.95/11.19 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 10.95/11.19 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e1)) = (op (e2) (op (e2) (e2))))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_Hef.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_Had.
% 10.95/11.19 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 10.95/11.19 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hee].
% 10.95/11.19 congruence.
% 10.95/11.19 apply (zenon_L61_); trivial.
% 10.95/11.19 apply zenon_Hae. apply refl_equal.
% 10.95/11.19 apply zenon_Hae. apply refl_equal.
% 10.95/11.19 apply zenon_H3a. apply refl_equal.
% 10.95/11.19 apply zenon_Hae. apply refl_equal.
% 10.95/11.19 apply zenon_Hae. apply refl_equal.
% 10.95/11.19 (* end of lemma zenon_L62_ *)
% 10.95/11.19 assert (zenon_L63_ : ((op (e3) (e2)) = (e0)) -> ((op (e2) (e1)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hf0 zenon_H5d zenon_H66.
% 10.95/11.19 apply (zenon_notand_s _ _ ax20); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf1 ].
% 10.95/11.19 apply zenon_Hf2. apply sym_equal. exact zenon_H66.
% 10.95/11.19 apply (zenon_notand_s _ _ zenon_Hf1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hac ].
% 10.95/11.19 elim (classic ((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ].
% 10.95/11.19 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2))) = ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_Hf3.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_Hb4.
% 10.95/11.19 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 10.95/11.19 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hf4].
% 10.95/11.19 congruence.
% 10.95/11.19 cut (((op (e3) (e2)) = (e0)) = ((op (op (e2) (op (e2) (e2))) (e2)) = (e0))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_Hf4.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_Hf0.
% 10.95/11.19 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 10.95/11.19 cut (((op (e3) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb7].
% 10.95/11.19 congruence.
% 10.95/11.19 elim (classic ((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ].
% 10.95/11.19 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2))) = ((op (e3) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_Hb7.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_Hb4.
% 10.95/11.19 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 10.95/11.19 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb8].
% 10.95/11.19 congruence.
% 10.95/11.19 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.19 cut (((op (e2) (op (e2) (e2))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 10.95/11.19 congruence.
% 10.95/11.19 cut (((op (e2) (e1)) = (e3)) = ((op (e2) (op (e2) (e2))) = (e3))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_Haf.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H5d.
% 10.95/11.19 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.19 cut (((op (e2) (e1)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 10.95/11.19 congruence.
% 10.95/11.19 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 10.95/11.19 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e1)) = (op (e2) (op (e2) (e2))))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_Hef.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_Had.
% 10.95/11.19 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 10.95/11.19 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hee].
% 10.95/11.19 congruence.
% 10.95/11.19 apply (zenon_L61_); trivial.
% 10.95/11.19 apply zenon_Hae. apply refl_equal.
% 10.95/11.19 apply zenon_Hae. apply refl_equal.
% 10.95/11.19 apply zenon_H3a. apply refl_equal.
% 10.95/11.19 apply zenon_H45. apply refl_equal.
% 10.95/11.19 apply zenon_Hb5. apply refl_equal.
% 10.95/11.19 apply zenon_Hb5. apply refl_equal.
% 10.95/11.19 apply zenon_H2b. apply refl_equal.
% 10.95/11.19 apply zenon_Hb5. apply refl_equal.
% 10.95/11.19 apply zenon_Hb5. apply refl_equal.
% 10.95/11.19 apply (zenon_L62_); trivial.
% 10.95/11.19 (* end of lemma zenon_L63_ *)
% 10.95/11.19 assert (zenon_L64_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> ((op (e2) (e2)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H7d zenon_H1e zenon_H46 zenon_H66 zenon_Hf0 zenon_Hdd zenon_Hdc zenon_H78 zenon_H69 zenon_H31 zenon_H70 zenon_H6f zenon_H79 zenon_H75.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ].
% 10.95/11.19 apply (zenon_L16_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ].
% 10.95/11.19 apply (zenon_L63_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ].
% 10.95/11.19 apply (zenon_L51_); trivial.
% 10.95/11.19 apply (zenon_L24_); trivial.
% 10.95/11.19 (* end of lemma zenon_L64_ *)
% 10.95/11.19 assert (zenon_L65_ : (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hf5 zenon_Ha9 zenon_Hf0.
% 10.95/11.19 cut (((op (e2) (e2)) = (e0)) = ((op (e2) (e2)) = (op (e3) (e2)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_Hf5.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_Ha9.
% 10.95/11.19 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf6].
% 10.95/11.19 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_Hce. apply refl_equal.
% 10.95/11.19 apply zenon_Hf6. apply sym_equal. exact zenon_Hf0.
% 10.95/11.19 (* end of lemma zenon_L65_ *)
% 10.95/11.19 assert (zenon_L66_ : (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hf5 zenon_H66 zenon_H85.
% 10.95/11.19 cut (((op (e2) (e2)) = (e1)) = ((op (e2) (e2)) = (op (e3) (e2)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_Hf5.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H66.
% 10.95/11.19 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 10.95/11.19 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_Hce. apply refl_equal.
% 10.95/11.19 apply zenon_H86. apply sym_equal. exact zenon_H85.
% 10.95/11.19 (* end of lemma zenon_L66_ *)
% 10.95/11.19 assert (zenon_L67_ : (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hf7 zenon_H65 zenon_H74.
% 10.95/11.19 cut (((op (e2) (e2)) = (e3)) = ((op (e2) (e2)) = (op (e2) (e3)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_Hf7.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H65.
% 10.95/11.19 cut (((e3) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H77].
% 10.95/11.19 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_Hce. apply refl_equal.
% 10.95/11.19 apply zenon_H77. apply sym_equal. exact zenon_H74.
% 10.95/11.19 (* end of lemma zenon_L67_ *)
% 10.95/11.19 assert (zenon_L68_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hf8 zenon_Hf0 zenon_H85 zenon_Hf5 zenon_Hf9 zenon_Hf7 zenon_H74.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ].
% 10.95/11.19 apply (zenon_L65_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ].
% 10.95/11.19 apply (zenon_L66_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ].
% 10.95/11.19 exact (zenon_Hf9 zenon_Hfc).
% 10.95/11.19 apply (zenon_L67_); trivial.
% 10.95/11.19 (* end of lemma zenon_L68_ *)
% 10.95/11.19 assert (zenon_L69_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H7d zenon_H1e zenon_H46 zenon_H24 zenon_H57 zenon_Hdd zenon_Hdc zenon_Hf8 zenon_Hf0 zenon_H85 zenon_Hf5 zenon_Hf9 zenon_Hf7.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ].
% 10.95/11.19 apply (zenon_L16_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ].
% 10.95/11.19 apply (zenon_L19_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ].
% 10.95/11.19 apply (zenon_L51_); trivial.
% 10.95/11.19 apply (zenon_L68_); trivial.
% 10.95/11.19 (* end of lemma zenon_L69_ *)
% 10.95/11.19 assert (zenon_L70_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hfd zenon_He0 zenon_He9 zenon_H80 zenon_Hec zenon_Hbe zenon_H41 zenon_Hbd zenon_H75 zenon_H79 zenon_H6f zenon_H70 zenon_H31 zenon_H69 zenon_H78 zenon_H7d zenon_H1e zenon_H46 zenon_H24 zenon_H57 zenon_Hdd zenon_Hdc zenon_Hf8 zenon_Hf5 zenon_Hf9 zenon_Hf7.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ].
% 10.95/11.19 exact (zenon_He0 zenon_He3).
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ].
% 10.95/11.19 apply (zenon_L59_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ].
% 10.95/11.19 apply (zenon_L60_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 10.95/11.19 apply (zenon_L11_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 10.95/11.19 exact (zenon_Hbd zenon_Hc3).
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 10.95/11.19 apply (zenon_L64_); trivial.
% 10.95/11.19 apply (zenon_L69_); trivial.
% 10.95/11.19 (* end of lemma zenon_L70_ *)
% 10.95/11.19 assert (zenon_L71_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e3))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H42 zenon_Hdc zenon_H38.
% 10.95/11.19 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 10.95/11.19 cut (((e3) = (e3)) = ((e1) = (e3))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H38.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H39.
% 10.95/11.19 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.19 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3b].
% 10.95/11.19 congruence.
% 10.95/11.19 cut (((op (e0) (e2)) = (e1)) = ((e3) = (e1))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H3b.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H42.
% 10.95/11.19 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 10.95/11.19 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H100].
% 10.95/11.19 congruence.
% 10.95/11.19 exact (zenon_H100 zenon_Hdc).
% 10.95/11.19 apply zenon_H2f. apply refl_equal.
% 10.95/11.19 apply zenon_H3a. apply refl_equal.
% 10.95/11.19 apply zenon_H3a. apply refl_equal.
% 10.95/11.19 (* end of lemma zenon_L71_ *)
% 10.95/11.19 assert (zenon_L72_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e2)) = (e1))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hbe zenon_H38 zenon_Hdc zenon_Hbd zenon_H2d zenon_H7d zenon_H24 zenon_H57 zenon_Ha9 zenon_H81 zenon_H78 zenon_H69 zenon_H31 zenon_H70 zenon_H6f zenon_H79 zenon_H75.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 10.95/11.19 apply (zenon_L71_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 10.95/11.19 exact (zenon_Hbd zenon_Hc3).
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 10.95/11.19 apply (zenon_L37_); trivial.
% 10.95/11.19 apply (zenon_L54_); trivial.
% 10.95/11.19 (* end of lemma zenon_L72_ *)
% 10.95/11.19 assert (zenon_L73_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H31 zenon_H101 zenon_H81.
% 10.95/11.19 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 10.95/11.19 cut (((e3) = (e3)) = ((e0) = (e3))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H81.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H39.
% 10.95/11.19 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.19 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 10.95/11.19 congruence.
% 10.95/11.19 cut (((op (e0) (e3)) = (e0)) = ((e3) = (e0))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H82.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H31.
% 10.95/11.19 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 10.95/11.19 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H102].
% 10.95/11.19 congruence.
% 10.95/11.19 exact (zenon_H102 zenon_H101).
% 10.95/11.19 apply zenon_H2b. apply refl_equal.
% 10.95/11.19 apply zenon_H3a. apply refl_equal.
% 10.95/11.19 apply zenon_H3a. apply refl_equal.
% 10.95/11.19 (* end of lemma zenon_L73_ *)
% 10.95/11.19 assert (zenon_L74_ : ((op (e2) (e0)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H103 zenon_H57 zenon_H104.
% 10.95/11.19 elim (classic ((op (e2) (e0)) = (op (e2) (e0)))); [ zenon_intro zenon_H105 | zenon_intro zenon_Hed ].
% 10.95/11.19 cut (((op (e2) (e0)) = (op (e2) (e0))) = ((op (e1) (e0)) = (op (e2) (e0)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H104.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H105.
% 10.95/11.19 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed].
% 10.95/11.19 cut (((op (e2) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H106].
% 10.95/11.19 congruence.
% 10.95/11.19 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e1) (e0)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H106.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H103.
% 10.95/11.19 cut (((e2) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 10.95/11.19 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_Hed. apply refl_equal.
% 10.95/11.19 apply zenon_H107. apply sym_equal. exact zenon_H57.
% 10.95/11.19 apply zenon_Hed. apply refl_equal.
% 10.95/11.19 apply zenon_Hed. apply refl_equal.
% 10.95/11.19 (* end of lemma zenon_L74_ *)
% 10.95/11.19 assert (zenon_L75_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e0) = (e2))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H31 zenon_H108 zenon_H109.
% 10.95/11.19 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ].
% 10.95/11.19 cut (((e2) = (e2)) = ((e0) = (e2))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H109.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_Ha6.
% 10.95/11.19 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.19 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H10a].
% 10.95/11.19 congruence.
% 10.95/11.19 cut (((op (e0) (e3)) = (e0)) = ((e2) = (e0))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H10a.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H31.
% 10.95/11.19 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 10.95/11.19 cut (((op (e0) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H10b].
% 10.95/11.19 congruence.
% 10.95/11.19 exact (zenon_H10b zenon_H108).
% 10.95/11.19 apply zenon_H2b. apply refl_equal.
% 10.95/11.19 apply zenon_H45. apply refl_equal.
% 10.95/11.19 apply zenon_H45. apply refl_equal.
% 10.95/11.19 (* end of lemma zenon_L75_ *)
% 10.95/11.19 assert (zenon_L76_ : ((op (e1) (e3)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H10c zenon_H10d zenon_H10e.
% 10.95/11.19 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H10f | zenon_intro zenon_H110 ].
% 10.95/11.19 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e2)) = (op (e1) (e3)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H10e.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H10f.
% 10.95/11.19 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 10.95/11.19 cut (((op (e1) (e3)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H111].
% 10.95/11.19 congruence.
% 10.95/11.19 cut (((op (e1) (e3)) = (e2)) = ((op (e1) (e3)) = (op (e1) (e2)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H111.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H10c.
% 10.95/11.19 cut (((e2) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 10.95/11.19 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_H110. apply refl_equal.
% 10.95/11.19 apply zenon_H112. apply sym_equal. exact zenon_H10d.
% 10.95/11.19 apply zenon_H110. apply refl_equal.
% 10.95/11.19 apply zenon_H110. apply refl_equal.
% 10.95/11.19 (* end of lemma zenon_L76_ *)
% 10.95/11.19 assert (zenon_L77_ : (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H113 zenon_H103 zenon_H114.
% 10.95/11.19 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e2) (e3)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H113.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H103.
% 10.95/11.19 cut (((e2) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H115].
% 10.95/11.19 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_Hed. apply refl_equal.
% 10.95/11.19 apply zenon_H115. apply sym_equal. exact zenon_H114.
% 10.95/11.19 (* end of lemma zenon_L77_ *)
% 10.95/11.19 assert (zenon_L78_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e2)) -> (~((e1) = (e2))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H6f zenon_H10c zenon_Ha5.
% 10.95/11.19 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ].
% 10.95/11.19 cut (((e2) = (e2)) = ((e1) = (e2))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_Ha5.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_Ha6.
% 10.95/11.19 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.19 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 10.95/11.19 congruence.
% 10.95/11.19 cut (((op (e1) (e3)) = (e1)) = ((e2) = (e1))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_Ha7.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H6f.
% 10.95/11.19 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 10.95/11.19 cut (((op (e1) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H116].
% 10.95/11.19 congruence.
% 10.95/11.19 exact (zenon_H116 zenon_H10c).
% 10.95/11.19 apply zenon_H2f. apply refl_equal.
% 10.95/11.19 apply zenon_H45. apply refl_equal.
% 10.95/11.19 apply zenon_H45. apply refl_equal.
% 10.95/11.19 (* end of lemma zenon_L78_ *)
% 10.95/11.19 assert (zenon_L79_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H117 zenon_H104 zenon_H118 zenon_H79 zenon_H113 zenon_H103 zenon_H10e zenon_H31 zenon_H109 zenon_H119 zenon_H6f zenon_Ha5.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 10.95/11.19 apply (zenon_L74_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 10.95/11.19 exact (zenon_H118 zenon_H11c).
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ].
% 10.95/11.19 apply (zenon_L75_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ].
% 10.95/11.19 apply (zenon_L76_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ].
% 10.95/11.19 apply (zenon_L77_); trivial.
% 10.95/11.19 exact (zenon_H79 zenon_H7c).
% 10.95/11.19 apply (zenon_L78_); trivial.
% 10.95/11.19 (* end of lemma zenon_L79_ *)
% 10.95/11.19 assert (zenon_L80_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e2)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hd6 zenon_H1e zenon_H1d zenon_H2d zenon_H24 zenon_Hbd zenon_H117 zenon_H104 zenon_H118 zenon_H79 zenon_H113 zenon_H103 zenon_H10e zenon_H31 zenon_H109 zenon_H119 zenon_Ha5.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 10.95/11.19 apply (zenon_L1_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 10.95/11.19 apply (zenon_L10_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 10.95/11.19 exact (zenon_Hbd zenon_Hc3).
% 10.95/11.19 apply (zenon_L79_); trivial.
% 10.95/11.19 (* end of lemma zenon_L80_ *)
% 10.95/11.19 assert (zenon_L81_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e2))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H11f zenon_H46 zenon_Ha5.
% 10.95/11.19 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ].
% 10.95/11.19 cut (((e2) = (e2)) = ((e1) = (e2))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_Ha5.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_Ha6.
% 10.95/11.19 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.19 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 10.95/11.19 congruence.
% 10.95/11.19 cut (((op (e0) (e1)) = (e1)) = ((e2) = (e1))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_Ha7.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H11f.
% 10.95/11.19 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 10.95/11.19 cut (((op (e0) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H120].
% 10.95/11.19 congruence.
% 10.95/11.19 exact (zenon_H120 zenon_H46).
% 10.95/11.19 apply zenon_H2f. apply refl_equal.
% 10.95/11.19 apply zenon_H45. apply refl_equal.
% 10.95/11.19 apply zenon_H45. apply refl_equal.
% 10.95/11.19 (* end of lemma zenon_L81_ *)
% 10.95/11.19 assert (zenon_L82_ : (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H121 zenon_H3f zenon_H6f.
% 10.95/11.19 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e1) (e3)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H121.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H3f.
% 10.95/11.19 cut (((e1) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H72].
% 10.95/11.19 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_Ha4. apply refl_equal.
% 10.95/11.19 apply zenon_H72. apply sym_equal. exact zenon_H6f.
% 10.95/11.19 (* end of lemma zenon_L82_ *)
% 10.95/11.19 assert (zenon_L83_ : (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H122 zenon_H1e zenon_H123.
% 10.95/11.19 cut (((op (e0) (e0)) = (e1)) = ((op (e0) (e0)) = (op (e2) (e0)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H122.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H1e.
% 10.95/11.19 cut (((e1) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 10.95/11.19 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_H21. apply refl_equal.
% 10.95/11.19 apply zenon_H124. apply sym_equal. exact zenon_H123.
% 10.95/11.19 (* end of lemma zenon_L83_ *)
% 10.95/11.19 assert (zenon_L84_ : (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H125 zenon_H103 zenon_H8d.
% 10.95/11.19 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e3) (e0)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H125.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H103.
% 10.95/11.19 cut (((e2) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H126].
% 10.95/11.19 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_Hed. apply refl_equal.
% 10.95/11.19 apply zenon_H126. apply sym_equal. exact zenon_H8d.
% 10.95/11.19 (* end of lemma zenon_L84_ *)
% 10.95/11.19 assert (zenon_L85_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e2)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H127 zenon_Hec zenon_H1e zenon_H122 zenon_H8d zenon_H125 zenon_H85 zenon_Ha9.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ].
% 10.95/11.19 apply (zenon_L60_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ].
% 10.95/11.19 apply (zenon_L83_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ].
% 10.95/11.19 apply (zenon_L84_); trivial.
% 10.95/11.19 apply (zenon_L40_); trivial.
% 10.95/11.19 (* end of lemma zenon_L85_ *)
% 10.95/11.19 assert (zenon_L86_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e2)) = (e0)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hbe zenon_H41 zenon_Hbd zenon_H2d zenon_H127 zenon_Hec zenon_H1e zenon_H122 zenon_H8d zenon_H125 zenon_Ha9.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 10.95/11.19 apply (zenon_L11_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 10.95/11.19 exact (zenon_Hbd zenon_Hc3).
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 10.95/11.19 apply (zenon_L37_); trivial.
% 10.95/11.19 apply (zenon_L85_); trivial.
% 10.95/11.19 (* end of lemma zenon_L86_ *)
% 10.95/11.19 assert (zenon_L87_ : (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H12a zenon_H4c zenon_H5d.
% 10.95/11.19 cut (((op (e2) (e0)) = (e3)) = ((op (e2) (e0)) = (op (e2) (e1)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H12a.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H4c.
% 10.95/11.19 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 10.95/11.19 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_Hed. apply refl_equal.
% 10.95/11.19 apply zenon_H12b. apply sym_equal. exact zenon_H5d.
% 10.95/11.19 (* end of lemma zenon_L87_ *)
% 10.95/11.19 assert (zenon_L88_ : (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e3)) = (e0)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H12c zenon_H23 zenon_H31.
% 10.95/11.19 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e0) (e3)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H12c.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H23.
% 10.95/11.19 cut (((e0) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6d].
% 10.95/11.19 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_H26. apply refl_equal.
% 10.95/11.19 apply zenon_H6d. apply sym_equal. exact zenon_H31.
% 10.95/11.19 (* end of lemma zenon_L88_ *)
% 10.95/11.19 assert (zenon_L89_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H12d zenon_H11f zenon_H12e.
% 10.95/11.19 cut (((op (e0) (e1)) = (e1)) = ((op (e0) (e1)) = (op (e2) (e1)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H12d.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H11f.
% 10.95/11.19 cut (((e1) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H12f].
% 10.95/11.19 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_H26. apply refl_equal.
% 10.95/11.19 apply zenon_H12f. apply sym_equal. exact zenon_H12e.
% 10.95/11.19 (* end of lemma zenon_L89_ *)
% 10.95/11.19 assert (zenon_L90_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H12d zenon_H46 zenon_H130.
% 10.95/11.19 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (e1)) = (op (e2) (e1)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H12d.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H46.
% 10.95/11.19 cut (((e2) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H131].
% 10.95/11.19 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_H26. apply refl_equal.
% 10.95/11.19 apply zenon_H131. apply sym_equal. exact zenon_H130.
% 10.95/11.19 (* end of lemma zenon_L90_ *)
% 10.95/11.19 assert (zenon_L91_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H132 zenon_H89 zenon_H133.
% 10.95/11.19 cut (((op (e0) (e1)) = (e3)) = ((op (e0) (e1)) = (op (e3) (e1)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H132.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H89.
% 10.95/11.19 cut (((e3) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 10.95/11.19 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_H26. apply refl_equal.
% 10.95/11.19 apply zenon_H134. apply sym_equal. exact zenon_H133.
% 10.95/11.19 (* end of lemma zenon_L91_ *)
% 10.95/11.19 assert (zenon_L92_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H135 zenon_H31 zenon_H12c zenon_H12e zenon_H130 zenon_H12d zenon_H132 zenon_H133.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H23 | zenon_intro zenon_H136 ].
% 10.95/11.19 apply (zenon_L88_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H11f | zenon_intro zenon_H137 ].
% 10.95/11.19 apply (zenon_L89_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H46 | zenon_intro zenon_H89 ].
% 10.95/11.19 apply (zenon_L90_); trivial.
% 10.95/11.19 apply (zenon_L91_); trivial.
% 10.95/11.19 (* end of lemma zenon_L92_ *)
% 10.95/11.19 assert (zenon_L93_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H138 zenon_H8d zenon_H95.
% 10.95/11.19 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (e0)) = (op (e3) (e1)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H138.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H8d.
% 10.95/11.19 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 10.95/11.19 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_Hc7. apply refl_equal.
% 10.95/11.19 apply zenon_H139. apply sym_equal. exact zenon_H95.
% 10.95/11.19 (* end of lemma zenon_L93_ *)
% 10.95/11.19 assert (zenon_L94_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e2)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H13a zenon_H118 zenon_H132 zenon_H12d zenon_H12e zenon_H12c zenon_H31 zenon_H135 zenon_H12a zenon_H4c zenon_H81 zenon_H24 zenon_H1e zenon_H13b zenon_H138 zenon_H8d.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 10.95/11.19 apply (zenon_L16_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 10.95/11.19 exact (zenon_H118 zenon_H11c).
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 10.95/11.19 apply (zenon_L30_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 10.95/11.19 apply (zenon_L44_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 10.95/11.19 apply (zenon_L87_); trivial.
% 10.95/11.19 apply (zenon_L92_); trivial.
% 10.95/11.19 apply (zenon_L93_); trivial.
% 10.95/11.19 (* end of lemma zenon_L94_ *)
% 10.95/11.19 assert (zenon_L95_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hfd zenon_He0 zenon_He9 zenon_H2d zenon_Hbe zenon_H41 zenon_Hbd zenon_H75 zenon_H79 zenon_H6f zenon_H70 zenon_H69 zenon_H78 zenon_H46 zenon_H7d zenon_H138 zenon_H13b zenon_H24 zenon_H81 zenon_H12a zenon_H135 zenon_H31 zenon_H12c zenon_H12e zenon_H12d zenon_H132 zenon_H118 zenon_H13a zenon_H127 zenon_Hec zenon_H1e zenon_H122 zenon_H8d zenon_H125 zenon_Hdd zenon_Hdc zenon_Hf8 zenon_Hf5 zenon_Hf9 zenon_Hf7.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ].
% 10.95/11.19 exact (zenon_He0 zenon_He3).
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ].
% 10.95/11.19 apply (zenon_L59_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ].
% 10.95/11.19 apply (zenon_L86_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 10.95/11.19 apply (zenon_L11_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 10.95/11.19 exact (zenon_Hbd zenon_Hc3).
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 10.95/11.19 apply (zenon_L64_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ].
% 10.95/11.19 apply (zenon_L94_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ].
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ].
% 10.95/11.19 apply (zenon_L85_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ].
% 10.95/11.19 apply (zenon_L63_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ].
% 10.95/11.19 exact (zenon_Hf9 zenon_Hfc).
% 10.95/11.19 apply (zenon_L51_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ].
% 10.95/11.19 apply (zenon_L51_); trivial.
% 10.95/11.19 apply (zenon_L68_); trivial.
% 10.95/11.19 (* end of lemma zenon_L95_ *)
% 10.95/11.19 assert (zenon_L96_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H140 zenon_H141 zenon_H85.
% 10.95/11.19 cut (((op (e3) (e1)) = (e1)) = ((op (e3) (e1)) = (op (e3) (e2)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H140.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H141.
% 10.95/11.19 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 10.95/11.19 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H142].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_H142. apply refl_equal.
% 10.95/11.19 apply zenon_H86. apply sym_equal. exact zenon_H85.
% 10.95/11.19 (* end of lemma zenon_L96_ *)
% 10.95/11.19 assert (zenon_L97_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e2)) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hbe zenon_H38 zenon_Hdc zenon_Hbd zenon_Ha9 zenon_H2d zenon_H140 zenon_H141.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 10.95/11.19 apply (zenon_L71_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 10.95/11.19 exact (zenon_Hbd zenon_Hc3).
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 10.95/11.19 apply (zenon_L37_); trivial.
% 10.95/11.19 apply (zenon_L96_); trivial.
% 10.95/11.19 (* end of lemma zenon_L97_ *)
% 10.95/11.19 assert (zenon_L98_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hdd zenon_H42 zenon_H66.
% 10.95/11.19 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e2) (e2)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_Hdd.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H42.
% 10.95/11.19 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf2].
% 10.95/11.19 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_H87. apply refl_equal.
% 10.95/11.19 apply zenon_Hf2. apply sym_equal. exact zenon_H66.
% 10.95/11.19 (* end of lemma zenon_L98_ *)
% 10.95/11.19 assert (zenon_L99_ : ((op (e2) (e2)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H65 zenon_H5d zenon_H143.
% 10.95/11.19 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hce ].
% 10.95/11.19 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e2) (e1)) = (op (e2) (e2)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H143.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_Hcd.
% 10.95/11.19 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 10.95/11.19 cut (((op (e2) (e2)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H144].
% 10.95/11.19 congruence.
% 10.95/11.19 cut (((op (e2) (e2)) = (e3)) = ((op (e2) (e2)) = (op (e2) (e1)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H144.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H65.
% 10.95/11.19 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 10.95/11.19 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_Hce. apply refl_equal.
% 10.95/11.19 apply zenon_H12b. apply sym_equal. exact zenon_H5d.
% 10.95/11.19 apply zenon_Hce. apply refl_equal.
% 10.95/11.19 apply zenon_Hce. apply refl_equal.
% 10.95/11.19 (* end of lemma zenon_L99_ *)
% 10.95/11.19 assert (zenon_L100_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hf8 zenon_H80 zenon_Hec zenon_H42 zenon_Hdd zenon_Hf9 zenon_H5d zenon_H143.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ].
% 10.95/11.19 apply (zenon_L60_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ].
% 10.95/11.19 apply (zenon_L98_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ].
% 10.95/11.19 exact (zenon_Hf9 zenon_Hfc).
% 10.95/11.19 apply (zenon_L99_); trivial.
% 10.95/11.19 (* end of lemma zenon_L100_ *)
% 10.95/11.19 assert (zenon_L101_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hfd zenon_He0 zenon_H24 zenon_He9 zenon_H2d zenon_Hdc zenon_H38 zenon_Hbe zenon_H143 zenon_Hf9 zenon_Hdd zenon_Hec zenon_H80 zenon_Hf8 zenon_Hbd zenon_H5d zenon_H140 zenon_H141.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ].
% 10.95/11.19 exact (zenon_He0 zenon_He3).
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ].
% 10.95/11.19 apply (zenon_L59_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ].
% 10.95/11.19 apply (zenon_L97_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 10.95/11.19 apply (zenon_L100_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 10.95/11.19 exact (zenon_Hbd zenon_Hc3).
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 10.95/11.19 apply (zenon_L63_); trivial.
% 10.95/11.19 apply (zenon_L96_); trivial.
% 10.95/11.19 (* end of lemma zenon_L101_ *)
% 10.95/11.19 assert (zenon_L102_ : ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H141 zenon_H133 zenon_H38.
% 10.95/11.19 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 10.95/11.19 cut (((e3) = (e3)) = ((e1) = (e3))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H38.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H39.
% 10.95/11.19 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.19 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3b].
% 10.95/11.19 congruence.
% 10.95/11.19 cut (((op (e3) (e1)) = (e1)) = ((e3) = (e1))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H3b.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H141.
% 10.95/11.19 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 10.95/11.19 cut (((op (e3) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H145].
% 10.95/11.19 congruence.
% 10.95/11.19 exact (zenon_H145 zenon_H133).
% 10.95/11.19 apply zenon_H2f. apply refl_equal.
% 10.95/11.19 apply zenon_H3a. apply refl_equal.
% 10.95/11.19 apply zenon_H3a. apply refl_equal.
% 10.95/11.19 (* end of lemma zenon_L102_ *)
% 10.95/11.19 assert (zenon_L103_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H146 zenon_Ha5 zenon_H121 zenon_Hf7 zenon_Hf5 zenon_H125 zenon_H122 zenon_H127 zenon_H13a zenon_H118 zenon_H132 zenon_H12d zenon_H12c zenon_H135 zenon_H12a zenon_H138 zenon_H7d zenon_H46 zenon_H78 zenon_H69 zenon_H70 zenon_H6f zenon_H79 zenon_H75 zenon_H41 zenon_H13b zenon_H1e zenon_H8d zenon_H81 zenon_H31 zenon_Hb9 zenon_Hbe zenon_Hdc zenon_Hbd zenon_H2d zenon_H140 zenon_Ha1 zenon_H24 zenon_Hfd zenon_He0 zenon_He9 zenon_H143 zenon_Hf9 zenon_Hdd zenon_Hec zenon_Hf8 zenon_Hbc zenon_H38.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H11f | zenon_intro zenon_H147 ].
% 10.95/11.19 apply (zenon_L81_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H3f | zenon_intro zenon_H148 ].
% 10.95/11.19 apply (zenon_L82_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H12e | zenon_intro zenon_H141 ].
% 10.95/11.19 apply (zenon_L95_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 10.95/11.19 apply (zenon_L30_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 10.95/11.19 apply (zenon_L44_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 10.95/11.19 apply (zenon_L101_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 10.95/11.19 apply (zenon_L35_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 10.95/11.19 apply (zenon_L97_); trivial.
% 10.95/11.19 apply (zenon_L41_); trivial.
% 10.95/11.19 apply (zenon_L102_); trivial.
% 10.95/11.19 (* end of lemma zenon_L103_ *)
% 10.95/11.19 assert (zenon_L104_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (e1))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hbe zenon_Ha5 zenon_H9b zenon_Hbd zenon_H2d zenon_H7d zenon_H24 zenon_H57 zenon_Ha9 zenon_H81 zenon_H78 zenon_H69 zenon_H31 zenon_H70 zenon_H6f zenon_H79 zenon_H75.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 10.95/11.19 apply (zenon_L36_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 10.95/11.19 exact (zenon_Hbd zenon_Hc3).
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 10.95/11.19 apply (zenon_L37_); trivial.
% 10.95/11.19 apply (zenon_L54_); trivial.
% 10.95/11.19 (* end of lemma zenon_L104_ *)
% 10.95/11.19 assert (zenon_L105_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hbc zenon_Hcb zenon_Hcc zenon_Ha1 zenon_H75 zenon_H79 zenon_H6f zenon_H70 zenon_H69 zenon_H78 zenon_H81 zenon_H57 zenon_H24 zenon_H7d zenon_H2d zenon_Hbd zenon_H9b zenon_Ha5 zenon_Hbe zenon_Hb9 zenon_H31.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 10.95/11.19 apply (zenon_L46_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 10.95/11.19 apply (zenon_L35_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 10.95/11.19 apply (zenon_L104_); trivial.
% 10.95/11.19 apply (zenon_L41_); trivial.
% 10.95/11.19 (* end of lemma zenon_L105_ *)
% 10.95/11.19 assert (zenon_L106_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (e1))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((e0) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hd3 zenon_Hc5 zenon_Hc4 zenon_H31 zenon_Hb9 zenon_Hbe zenon_Ha5 zenon_H9b zenon_Hbd zenon_H2d zenon_H7d zenon_H24 zenon_H57 zenon_H81 zenon_H78 zenon_H69 zenon_H70 zenon_H79 zenon_H75 zenon_Ha1 zenon_Hcc zenon_Hbc zenon_H6f zenon_H38.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 10.95/11.19 apply (zenon_L43_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 10.95/11.19 apply (zenon_L44_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 10.95/11.19 apply (zenon_L105_); trivial.
% 10.95/11.19 apply (zenon_L47_); trivial.
% 10.95/11.19 (* end of lemma zenon_L106_ *)
% 10.95/11.19 assert (zenon_L107_ : ((op (e0) (e2)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> (~((e2) = (e3))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H9b zenon_Hdc zenon_H149.
% 10.95/11.19 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 10.95/11.19 cut (((e3) = (e3)) = ((e2) = (e3))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H149.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H39.
% 10.95/11.19 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.19 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 10.95/11.19 congruence.
% 10.95/11.19 cut (((op (e0) (e2)) = (e2)) = ((e3) = (e2))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H14a.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H9b.
% 10.95/11.19 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.19 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H100].
% 10.95/11.19 congruence.
% 10.95/11.19 exact (zenon_H100 zenon_Hdc).
% 10.95/11.19 apply zenon_H45. apply refl_equal.
% 10.95/11.19 apply zenon_H3a. apply refl_equal.
% 10.95/11.19 apply zenon_H3a. apply refl_equal.
% 10.95/11.19 (* end of lemma zenon_L107_ *)
% 10.95/11.19 assert (zenon_L108_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H14b zenon_H38 zenon_H1e zenon_H8d zenon_H149 zenon_H9b zenon_H31 zenon_H81.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 10.95/11.19 apply (zenon_L8_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 10.95/11.19 apply (zenon_L30_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 10.95/11.19 apply (zenon_L107_); trivial.
% 10.95/11.19 apply (zenon_L73_); trivial.
% 10.95/11.19 (* end of lemma zenon_L108_ *)
% 10.95/11.19 assert (zenon_L109_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H80 zenon_H103 zenon_H109.
% 10.95/11.19 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ].
% 10.95/11.19 cut (((e2) = (e2)) = ((e0) = (e2))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H109.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_Ha6.
% 10.95/11.19 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.19 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H10a].
% 10.95/11.19 congruence.
% 10.95/11.19 cut (((op (e2) (e0)) = (e0)) = ((e2) = (e0))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H10a.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H80.
% 10.95/11.19 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 10.95/11.19 cut (((op (e2) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H14e].
% 10.95/11.19 congruence.
% 10.95/11.19 exact (zenon_H14e zenon_H103).
% 10.95/11.19 apply zenon_H2b. apply refl_equal.
% 10.95/11.19 apply zenon_H45. apply refl_equal.
% 10.95/11.19 apply zenon_H45. apply refl_equal.
% 10.95/11.19 (* end of lemma zenon_L109_ *)
% 10.95/11.19 assert (zenon_L110_ : ((op (e3) (e0)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H8d zenon_Hc4 zenon_H149.
% 10.95/11.19 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 10.95/11.19 cut (((e3) = (e3)) = ((e2) = (e3))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H149.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H39.
% 10.95/11.19 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.19 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 10.95/11.19 congruence.
% 10.95/11.19 cut (((op (e3) (e0)) = (e2)) = ((e3) = (e2))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H14a.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H8d.
% 10.95/11.19 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.19 cut (((op (e3) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H14f].
% 10.95/11.19 congruence.
% 10.95/11.19 exact (zenon_H14f zenon_Hc4).
% 10.95/11.19 apply zenon_H45. apply refl_equal.
% 10.95/11.19 apply zenon_H3a. apply refl_equal.
% 10.95/11.19 apply zenon_H3a. apply refl_equal.
% 10.95/11.19 (* end of lemma zenon_L110_ *)
% 10.95/11.19 assert (zenon_L111_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hd9 zenon_Hdc zenon_H41 zenon_H38 zenon_H1f zenon_H81 zenon_H80 zenon_H8d zenon_H149.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 10.95/11.19 apply (zenon_L58_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 10.95/11.19 apply (zenon_L9_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 10.95/11.19 apply (zenon_L26_); trivial.
% 10.95/11.19 apply (zenon_L110_); trivial.
% 10.95/11.19 (* end of lemma zenon_L111_ *)
% 10.95/11.19 assert (zenon_L112_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e3))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H146 zenon_Ha5 zenon_H121 zenon_Hf7 zenon_Hf5 zenon_H125 zenon_H122 zenon_H127 zenon_H13a zenon_H118 zenon_H132 zenon_H12d zenon_H12c zenon_H31 zenon_H135 zenon_H12a zenon_H138 zenon_H7d zenon_H46 zenon_H78 zenon_H69 zenon_H70 zenon_H6f zenon_H79 zenon_H75 zenon_H41 zenon_H13b zenon_H1e zenon_H8d zenon_H81 zenon_H140 zenon_Hbd zenon_Hf8 zenon_H80 zenon_Hec zenon_Hdd zenon_Hf9 zenon_H143 zenon_Hbe zenon_Hdc zenon_H2d zenon_He9 zenon_H24 zenon_He0 zenon_Hfd zenon_H38.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H11f | zenon_intro zenon_H147 ].
% 10.95/11.19 apply (zenon_L81_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H3f | zenon_intro zenon_H148 ].
% 10.95/11.19 apply (zenon_L82_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H12e | zenon_intro zenon_H141 ].
% 10.95/11.19 apply (zenon_L95_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 10.95/11.19 apply (zenon_L30_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 10.95/11.19 apply (zenon_L44_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 10.95/11.19 apply (zenon_L101_); trivial.
% 10.95/11.19 apply (zenon_L102_); trivial.
% 10.95/11.19 (* end of lemma zenon_L112_ *)
% 10.95/11.19 assert (zenon_L113_ : ((op (e3) (e0)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H150 zenon_H80 zenon_H125.
% 10.95/11.19 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ].
% 10.95/11.19 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e2) (e0)) = (op (e3) (e0)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H125.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_Hc6.
% 10.95/11.19 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 10.95/11.19 cut (((op (e3) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H151].
% 10.95/11.19 congruence.
% 10.95/11.19 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e2) (e0)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H151.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H150.
% 10.95/11.19 cut (((e0) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H152].
% 10.95/11.19 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_Hc7. apply refl_equal.
% 10.95/11.19 apply zenon_H152. apply sym_equal. exact zenon_H80.
% 10.95/11.19 apply zenon_Hc7. apply refl_equal.
% 10.95/11.19 apply zenon_Hc7. apply refl_equal.
% 10.95/11.19 (* end of lemma zenon_L113_ *)
% 10.95/11.19 assert (zenon_L114_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hbc zenon_H125 zenon_H150 zenon_Ha1 zenon_H75 zenon_H79 zenon_H6f zenon_H70 zenon_H69 zenon_H78 zenon_H81 zenon_H57 zenon_H24 zenon_H7d zenon_H2d zenon_Hbd zenon_H41 zenon_H1e zenon_Hbe zenon_Hb9 zenon_H31.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 10.95/11.19 apply (zenon_L113_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 10.95/11.19 apply (zenon_L35_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 10.95/11.19 apply (zenon_L55_); trivial.
% 10.95/11.19 apply (zenon_L41_); trivial.
% 10.95/11.19 (* end of lemma zenon_L114_ *)
% 10.95/11.19 assert (zenon_L115_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hd6 zenon_H38 zenon_H3d zenon_Hbc zenon_H125 zenon_H150 zenon_Ha1 zenon_H75 zenon_H79 zenon_H70 zenon_H69 zenon_H78 zenon_H81 zenon_H57 zenon_H24 zenon_H7d zenon_H2d zenon_Hbd zenon_H41 zenon_H1e zenon_Hbe zenon_Hb9 zenon_H31.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 10.95/11.19 apply (zenon_L9_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 10.95/11.19 apply (zenon_L10_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 10.95/11.19 exact (zenon_Hbd zenon_Hc3).
% 10.95/11.19 apply (zenon_L114_); trivial.
% 10.95/11.19 (* end of lemma zenon_L115_ *)
% 10.95/11.19 assert (zenon_L116_ : ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e3)) -> (~((e0) = (e3))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H150 zenon_Hc4 zenon_H81.
% 10.95/11.19 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 10.95/11.19 cut (((e3) = (e3)) = ((e0) = (e3))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H81.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H39.
% 10.95/11.19 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.19 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 10.95/11.19 congruence.
% 10.95/11.19 cut (((op (e3) (e0)) = (e0)) = ((e3) = (e0))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H82.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H150.
% 10.95/11.19 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 10.95/11.19 cut (((op (e3) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H14f].
% 10.95/11.19 congruence.
% 10.95/11.19 exact (zenon_H14f zenon_Hc4).
% 10.95/11.19 apply zenon_H2b. apply refl_equal.
% 10.95/11.19 apply zenon_H3a. apply refl_equal.
% 10.95/11.19 apply zenon_H3a. apply refl_equal.
% 10.95/11.19 (* end of lemma zenon_L116_ *)
% 10.95/11.19 assert (zenon_L117_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e2)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hd6 zenon_H38 zenon_H3d zenon_H2d zenon_H24 zenon_Hbd zenon_H117 zenon_H104 zenon_H118 zenon_H79 zenon_H113 zenon_H103 zenon_H10e zenon_H31 zenon_H109 zenon_H119 zenon_Ha5.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 10.95/11.19 apply (zenon_L9_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 10.95/11.19 apply (zenon_L10_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 10.95/11.19 exact (zenon_Hbd zenon_Hc3).
% 10.95/11.19 apply (zenon_L79_); trivial.
% 10.95/11.19 (* end of lemma zenon_L117_ *)
% 10.95/11.19 assert (zenon_L118_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hbc zenon_H150 zenon_H24 zenon_Ha1 zenon_H125 zenon_H8d zenon_H122 zenon_H1e zenon_Hec zenon_H127 zenon_H2d zenon_Hbd zenon_H41 zenon_Hbe zenon_Hb9 zenon_H31.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 10.95/11.19 apply (zenon_L113_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 10.95/11.19 apply (zenon_L35_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 10.95/11.19 apply (zenon_L86_); trivial.
% 10.95/11.19 apply (zenon_L41_); trivial.
% 10.95/11.19 (* end of lemma zenon_L118_ *)
% 10.95/11.19 assert (zenon_L119_ : (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hf5 zenon_H65 zenon_H153.
% 10.95/11.19 cut (((op (e2) (e2)) = (e3)) = ((op (e2) (e2)) = (op (e3) (e2)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_Hf5.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H65.
% 10.95/11.19 cut (((e3) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H154].
% 10.95/11.19 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_Hce. apply refl_equal.
% 10.95/11.19 apply zenon_H154. apply sym_equal. exact zenon_H153.
% 10.95/11.19 (* end of lemma zenon_L119_ *)
% 10.95/11.19 assert (zenon_L120_ : (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e0)) = (e1)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H155 zenon_H1e zenon_H156.
% 10.95/11.19 cut (((op (e0) (e0)) = (e1)) = ((op (e0) (e0)) = (op (e3) (e0)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H155.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H1e.
% 10.95/11.19 cut (((e1) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H157].
% 10.95/11.19 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_H21. apply refl_equal.
% 10.95/11.19 apply zenon_H157. apply sym_equal. exact zenon_H156.
% 10.95/11.19 (* end of lemma zenon_L120_ *)
% 10.95/11.19 assert (zenon_L121_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H158 zenon_H150 zenon_Hf0.
% 10.95/11.19 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e2)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H158.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H150.
% 10.95/11.19 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf6].
% 10.95/11.19 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_Hc7. apply refl_equal.
% 10.95/11.19 apply zenon_Hf6. apply sym_equal. exact zenon_Hf0.
% 10.95/11.19 (* end of lemma zenon_L121_ *)
% 10.95/11.19 assert (zenon_L122_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H138 zenon_H156 zenon_H141.
% 10.95/11.19 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (e0)) = (op (e3) (e1)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H138.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H156.
% 10.95/11.19 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H159].
% 10.95/11.19 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_Hc7. apply refl_equal.
% 10.95/11.19 apply zenon_H159. apply sym_equal. exact zenon_H141.
% 10.95/11.19 (* end of lemma zenon_L122_ *)
% 10.95/11.19 assert (zenon_L123_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H158 zenon_Hc4 zenon_H153.
% 10.95/11.19 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e3) (e2)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H158.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_Hc4.
% 10.95/11.19 cut (((e3) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H154].
% 10.95/11.19 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_Hc7. apply refl_equal.
% 10.95/11.19 apply zenon_H154. apply sym_equal. exact zenon_H153.
% 10.95/11.19 (* end of lemma zenon_L123_ *)
% 10.95/11.19 assert (zenon_L124_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H15a zenon_Hf0 zenon_H141 zenon_H138 zenon_H1e zenon_H89 zenon_H158 zenon_H153.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ].
% 10.95/11.19 apply (zenon_L121_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ].
% 10.95/11.19 apply (zenon_L122_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ].
% 10.95/11.19 apply (zenon_L30_); trivial.
% 10.95/11.19 apply (zenon_L123_); trivial.
% 10.95/11.19 (* end of lemma zenon_L124_ *)
% 10.95/11.19 assert (zenon_L125_ : (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Ha5 zenon_H7c zenon_H6e.
% 10.95/11.19 cut (((op (e3) (e3)) = (e2)) = ((e1) = (e2))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_Ha5.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H7c.
% 10.95/11.19 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.19 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 10.95/11.19 congruence.
% 10.95/11.19 exact (zenon_H15d zenon_H6e).
% 10.95/11.19 apply zenon_H45. apply refl_equal.
% 10.95/11.19 (* end of lemma zenon_L125_ *)
% 10.95/11.19 assert (zenon_L126_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_Hfd zenon_He0 zenon_He9 zenon_Hec zenon_H7d zenon_H81 zenon_H80 zenon_H24 zenon_H57 zenon_H15e zenon_H155 zenon_H153 zenon_H158 zenon_H89 zenon_H1e zenon_H138 zenon_H15a zenon_Hf7 zenon_Hf9 zenon_Hf5 zenon_Hf8 zenon_Ha5 zenon_H7c.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ].
% 10.95/11.19 exact (zenon_He0 zenon_He3).
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ].
% 10.95/11.19 apply (zenon_L59_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ].
% 10.95/11.19 apply (zenon_L60_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ].
% 10.95/11.19 apply (zenon_L26_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ].
% 10.95/11.19 apply (zenon_L19_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ].
% 10.95/11.19 apply (zenon_L119_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 10.95/11.19 apply (zenon_L120_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 10.95/11.19 apply (zenon_L124_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 10.95/11.19 apply (zenon_L68_); trivial.
% 10.95/11.19 apply (zenon_L125_); trivial.
% 10.95/11.19 (* end of lemma zenon_L126_ *)
% 10.95/11.19 assert (zenon_L127_ : ((op (e3) (e0)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H150 zenon_He5 zenon_Hc5.
% 10.95/11.19 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ].
% 10.95/11.19 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e1) (e0)) = (op (e3) (e0)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_Hc5.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_Hc6.
% 10.95/11.19 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 10.95/11.19 cut (((op (e3) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc8].
% 10.95/11.19 congruence.
% 10.95/11.19 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e1) (e0)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_Hc8.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H150.
% 10.95/11.19 cut (((e0) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H161].
% 10.95/11.19 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_Hc7. apply refl_equal.
% 10.95/11.19 apply zenon_H161. apply sym_equal. exact zenon_He5.
% 10.95/11.19 apply zenon_Hc7. apply refl_equal.
% 10.95/11.19 apply zenon_Hc7. apply refl_equal.
% 10.95/11.19 (* end of lemma zenon_L127_ *)
% 10.95/11.19 assert (zenon_L128_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H162 zenon_H24 zenon_H163.
% 10.95/11.19 cut (((op (e1) (e1)) = (e0)) = ((op (e1) (e1)) = (op (e3) (e1)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H162.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H24.
% 10.95/11.19 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H164].
% 10.95/11.19 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_Ha4. apply refl_equal.
% 10.95/11.19 apply zenon_H164. apply sym_equal. exact zenon_H163.
% 10.95/11.19 (* end of lemma zenon_L128_ *)
% 10.95/11.19 assert (zenon_L129_ : (~((e0) = (e2))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H109 zenon_H7c zenon_H68.
% 10.95/11.19 cut (((op (e3) (e3)) = (e2)) = ((e0) = (e2))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H109.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_H7c.
% 10.95/11.19 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.19 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 10.95/11.19 congruence.
% 10.95/11.19 exact (zenon_H165 zenon_H68).
% 10.95/11.19 apply zenon_H45. apply refl_equal.
% 10.95/11.19 (* end of lemma zenon_L129_ *)
% 10.95/11.19 assert (zenon_L130_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H166 zenon_Hc5 zenon_He5 zenon_H24 zenon_H162 zenon_Ha9 zenon_Hf5 zenon_H109 zenon_H7c.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 10.95/11.19 apply (zenon_L127_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 10.95/11.19 apply (zenon_L128_); trivial.
% 10.95/11.19 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 10.95/11.19 apply (zenon_L65_); trivial.
% 10.95/11.19 apply (zenon_L129_); trivial.
% 10.95/11.19 (* end of lemma zenon_L130_ *)
% 10.95/11.19 assert (zenon_L131_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> False).
% 10.95/11.19 do 0 intro. intros zenon_H84 zenon_Hdc zenon_H153.
% 10.95/11.19 cut (((op (e0) (e2)) = (e3)) = ((op (e0) (e2)) = (op (e3) (e2)))).
% 10.95/11.19 intro zenon_D_pnotp.
% 10.95/11.19 apply zenon_H84.
% 10.95/11.19 rewrite <- zenon_D_pnotp.
% 10.95/11.19 exact zenon_Hdc.
% 10.95/11.19 cut (((e3) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H154].
% 10.95/11.19 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 10.95/11.19 congruence.
% 10.95/11.19 apply zenon_H87. apply refl_equal.
% 10.95/11.19 apply zenon_H154. apply sym_equal. exact zenon_H153.
% 10.95/11.19 (* end of lemma zenon_L131_ *)
% 10.95/11.19 assert (zenon_L132_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H14b zenon_H38 zenon_Hb9 zenon_H166 zenon_Hc5 zenon_He5 zenon_H24 zenon_H162 zenon_Hf5 zenon_H109 zenon_H7c zenon_Ha1 zenon_Hfd zenon_He0 zenon_He9 zenon_Hec zenon_H7d zenon_H57 zenon_H15e zenon_H155 zenon_H158 zenon_H1e zenon_H138 zenon_H15a zenon_Hf7 zenon_Hf9 zenon_Hf8 zenon_Ha5 zenon_Hbc zenon_H153 zenon_H84 zenon_H31 zenon_H81.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 10.95/11.20 apply (zenon_L8_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 10.95/11.20 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 10.95/11.20 apply (zenon_L126_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 10.95/11.20 apply (zenon_L35_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 10.95/11.20 apply (zenon_L130_); trivial.
% 10.95/11.20 apply (zenon_L41_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 10.95/11.20 apply (zenon_L131_); trivial.
% 10.95/11.20 apply (zenon_L73_); trivial.
% 10.95/11.20 (* end of lemma zenon_L132_ *)
% 10.95/11.20 assert (zenon_L133_ : ((op (e3) (e3)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H7c zenon_H8d zenon_H169.
% 10.95/11.20 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ].
% 10.95/11.20 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e0)) = (op (e3) (e3)))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_H169.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H6a.
% 10.95/11.20 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 10.95/11.20 cut (((op (e3) (e3)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 10.95/11.20 congruence.
% 10.95/11.20 cut (((op (e3) (e3)) = (e2)) = ((op (e3) (e3)) = (op (e3) (e0)))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_H16a.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H7c.
% 10.95/11.20 cut (((e2) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H126].
% 10.95/11.20 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 10.95/11.20 congruence.
% 10.95/11.20 apply zenon_H6b. apply refl_equal.
% 10.95/11.20 apply zenon_H126. apply sym_equal. exact zenon_H8d.
% 10.95/11.20 apply zenon_H6b. apply refl_equal.
% 10.95/11.20 apply zenon_H6b. apply refl_equal.
% 10.95/11.20 (* end of lemma zenon_L133_ *)
% 10.95/11.20 assert (zenon_L134_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H138 zenon_H150 zenon_H163.
% 10.95/11.20 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e1)))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_H138.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H150.
% 10.95/11.20 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H164].
% 10.95/11.20 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 10.95/11.20 congruence.
% 10.95/11.20 apply zenon_Hc7. apply refl_equal.
% 10.95/11.20 apply zenon_H164. apply sym_equal. exact zenon_H163.
% 10.95/11.20 (* end of lemma zenon_L134_ *)
% 10.95/11.20 assert (zenon_L135_ : ((op (e3) (e3)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H7c zenon_H95 zenon_H16b.
% 10.95/11.20 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ].
% 10.95/11.20 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e1)) = (op (e3) (e3)))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_H16b.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H6a.
% 10.95/11.20 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 10.95/11.20 cut (((op (e3) (e3)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16c].
% 10.95/11.20 congruence.
% 10.95/11.20 cut (((op (e3) (e3)) = (e2)) = ((op (e3) (e3)) = (op (e3) (e1)))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_H16c.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H7c.
% 10.95/11.20 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 10.95/11.20 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 10.95/11.20 congruence.
% 10.95/11.20 apply zenon_H6b. apply refl_equal.
% 10.95/11.20 apply zenon_H139. apply sym_equal. exact zenon_H95.
% 10.95/11.20 apply zenon_H6b. apply refl_equal.
% 10.95/11.20 apply zenon_H6b. apply refl_equal.
% 10.95/11.20 (* end of lemma zenon_L135_ *)
% 10.95/11.20 assert (zenon_L136_ : ((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2))) -> ((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> ((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2))) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H16d zenon_H16e zenon_H2d zenon_H1e zenon_H22 zenon_H24 zenon_H16f zenon_H41 zenon_H170 zenon_H132 zenon_H16b zenon_H140 zenon_Hbe zenon_H125 zenon_H171 zenon_H14b zenon_H84 zenon_Hfd zenon_H81 zenon_Hf5 zenon_H15e zenon_Ha5 zenon_Hf9 zenon_Hf7 zenon_Hf8 zenon_H158 zenon_H138 zenon_H15a zenon_H155 zenon_H7d zenon_Hec zenon_He9 zenon_Ha1 zenon_H166 zenon_H109 zenon_H162 zenon_Hc5 zenon_Hb9 zenon_Hbc zenon_H38 zenon_H169 zenon_H172 zenon_H32 zenon_H173 zenon_H153 zenon_H118 zenon_H174.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ].
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ].
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H176 | zenon_intro zenon_H7c ].
% 10.95/11.20 exact (zenon_H176 zenon_H153).
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 10.95/11.20 apply (zenon_L5_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 10.95/11.20 apply (zenon_L2_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 10.95/11.20 exact (zenon_He0 zenon_He3).
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 10.95/11.20 apply (zenon_L6_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 10.95/11.20 exact (zenon_H171 zenon_H175).
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 10.95/11.20 apply (zenon_L132_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 10.95/11.20 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 10.95/11.20 apply (zenon_L109_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 10.95/11.20 apply (zenon_L35_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 10.95/11.20 apply (zenon_L130_); trivial.
% 10.95/11.20 apply (zenon_L41_); trivial.
% 10.95/11.20 apply (zenon_L133_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 10.95/11.20 exact (zenon_H171 zenon_H175).
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 10.95/11.20 apply (zenon_L8_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 10.95/11.20 apply (zenon_L126_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 10.95/11.20 apply (zenon_L131_); trivial.
% 10.95/11.20 apply (zenon_L73_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 10.95/11.20 apply (zenon_L109_); trivial.
% 10.95/11.20 apply (zenon_L133_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 10.95/11.20 apply (zenon_L8_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 10.95/11.20 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 10.95/11.20 apply (zenon_L113_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 10.95/11.20 apply (zenon_L35_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 10.95/11.20 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 10.95/11.20 apply (zenon_L11_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 10.95/11.20 exact (zenon_Hbd zenon_Hc3).
% 10.95/11.20 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 10.95/11.20 apply (zenon_L37_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H163 | zenon_intro zenon_H17d ].
% 10.95/11.20 apply (zenon_L134_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H141 | zenon_intro zenon_H17e ].
% 10.95/11.20 apply (zenon_L96_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H95 | zenon_intro zenon_H133 ].
% 10.95/11.20 apply (zenon_L135_); trivial.
% 10.95/11.20 apply (zenon_L91_); trivial.
% 10.95/11.20 apply (zenon_L41_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 10.95/11.20 apply (zenon_L131_); trivial.
% 10.95/11.20 apply (zenon_L73_); trivial.
% 10.95/11.20 exact (zenon_H118 zenon_H11c).
% 10.95/11.20 exact (zenon_H171 zenon_H175).
% 10.95/11.20 (* end of lemma zenon_L136_ *)
% 10.95/11.20 assert (zenon_L137_ : (~((e2) = (e3))) -> ((op (e2) (e2)) = (e3)) -> ((op (e2) (e2)) = (e2)) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H149 zenon_H65 zenon_Hfc.
% 10.95/11.20 cut (((op (e2) (e2)) = (e3)) = ((e2) = (e3))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_H149.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H65.
% 10.95/11.20 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.20 cut (((op (e2) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 10.95/11.20 congruence.
% 10.95/11.20 exact (zenon_Hf9 zenon_Hfc).
% 10.95/11.20 apply zenon_H3a. apply refl_equal.
% 10.95/11.20 (* end of lemma zenon_L137_ *)
% 10.95/11.20 assert (zenon_L138_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H7d zenon_H81 zenon_H80 zenon_H24 zenon_H57 zenon_Hfc zenon_H149 zenon_H78 zenon_H69 zenon_H31 zenon_H70 zenon_H6f zenon_H79 zenon_H75.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ].
% 10.95/11.20 apply (zenon_L26_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ].
% 10.95/11.20 apply (zenon_L19_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ].
% 10.95/11.20 apply (zenon_L137_); trivial.
% 10.95/11.20 apply (zenon_L24_); trivial.
% 10.95/11.20 (* end of lemma zenon_L138_ *)
% 10.95/11.20 assert (zenon_L139_ : ((op (e2) (e2)) = (e0)) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> False).
% 10.95/11.20 do 0 intro. intros zenon_Ha9 zenon_Hfc zenon_H109.
% 10.95/11.20 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ].
% 10.95/11.20 cut (((e2) = (e2)) = ((e0) = (e2))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_H109.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_Ha6.
% 10.95/11.20 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.20 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H10a].
% 10.95/11.20 congruence.
% 10.95/11.20 cut (((op (e2) (e2)) = (e0)) = ((e2) = (e0))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_H10a.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_Ha9.
% 10.95/11.20 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 10.95/11.20 cut (((op (e2) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 10.95/11.20 congruence.
% 10.95/11.20 exact (zenon_Hf9 zenon_Hfc).
% 10.95/11.20 apply zenon_H2b. apply refl_equal.
% 10.95/11.20 apply zenon_H45. apply refl_equal.
% 10.95/11.20 apply zenon_H45. apply refl_equal.
% 10.95/11.20 (* end of lemma zenon_L139_ *)
% 10.95/11.20 assert (zenon_L140_ : ((op (e2) (e2)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False).
% 10.95/11.20 do 0 intro. intros zenon_Hfc zenon_H10d zenon_Hcc.
% 10.95/11.20 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hce ].
% 10.95/11.20 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e1) (e2)) = (op (e2) (e2)))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_Hcc.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_Hcd.
% 10.95/11.20 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 10.95/11.20 cut (((op (e2) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 10.95/11.20 congruence.
% 10.95/11.20 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e1) (e2)))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_Hcf.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_Hfc.
% 10.95/11.20 cut (((e2) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 10.95/11.20 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 10.95/11.20 congruence.
% 10.95/11.20 apply zenon_Hce. apply refl_equal.
% 10.95/11.20 apply zenon_H112. apply sym_equal. exact zenon_H10d.
% 10.95/11.20 apply zenon_Hce. apply refl_equal.
% 10.95/11.20 apply zenon_Hce. apply refl_equal.
% 10.95/11.20 (* end of lemma zenon_L140_ *)
% 10.95/11.20 assert (zenon_L141_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H117 zenon_H31 zenon_Hb9 zenon_H109 zenon_Ha1 zenon_H24 zenon_H7d zenon_H81 zenon_H149 zenon_H78 zenon_H69 zenon_H70 zenon_H79 zenon_H75 zenon_Hbc zenon_H118 zenon_Hcc zenon_Hfc zenon_H6f zenon_Ha5.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 10.95/11.20 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 10.95/11.20 apply (zenon_L138_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 10.95/11.20 apply (zenon_L35_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 10.95/11.20 apply (zenon_L139_); trivial.
% 10.95/11.20 apply (zenon_L41_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 10.95/11.20 exact (zenon_H118 zenon_H11c).
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 10.95/11.20 apply (zenon_L140_); trivial.
% 10.95/11.20 apply (zenon_L78_); trivial.
% 10.95/11.20 (* end of lemma zenon_L141_ *)
% 10.95/11.20 assert (zenon_L142_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> False).
% 10.95/11.20 do 0 intro. intros zenon_Hd6 zenon_H38 zenon_H3d zenon_H2d zenon_Hbd zenon_H117 zenon_H31 zenon_Hb9 zenon_H109 zenon_Ha1 zenon_H24 zenon_H7d zenon_H81 zenon_H149 zenon_H78 zenon_H69 zenon_H70 zenon_H79 zenon_H75 zenon_Hbc zenon_H118 zenon_Hcc zenon_Hfc zenon_Ha5.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 10.95/11.20 apply (zenon_L9_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 10.95/11.20 apply (zenon_L10_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 10.95/11.20 exact (zenon_Hbd zenon_Hc3).
% 10.95/11.20 apply (zenon_L141_); trivial.
% 10.95/11.20 (* end of lemma zenon_L142_ *)
% 10.95/11.20 assert (zenon_L143_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e2)) = (e2)) -> False).
% 10.95/11.20 do 0 intro. intros zenon_Hec zenon_H103 zenon_Hfc.
% 10.95/11.20 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e2) (e2)))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_Hec.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H103.
% 10.95/11.20 cut (((e2) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H17f].
% 10.95/11.20 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed].
% 10.95/11.20 congruence.
% 10.95/11.20 apply zenon_Hed. apply refl_equal.
% 10.95/11.20 apply zenon_H17f. apply sym_equal. exact zenon_Hfc.
% 10.95/11.20 (* end of lemma zenon_L143_ *)
% 10.95/11.20 assert (zenon_L144_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H127 zenon_H125 zenon_H150 zenon_H122 zenon_Hfc zenon_Hec zenon_H46 zenon_H1e.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ].
% 10.95/11.20 apply (zenon_L113_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ].
% 10.95/11.20 apply (zenon_L83_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ].
% 10.95/11.20 apply (zenon_L143_); trivial.
% 10.95/11.20 apply (zenon_L16_); trivial.
% 10.95/11.20 (* end of lemma zenon_L144_ *)
% 10.95/11.20 assert (zenon_L145_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e2) (e2)) = (e2)) -> False).
% 10.95/11.20 do 0 intro. intros zenon_Hdd zenon_H9b zenon_Hfc.
% 10.95/11.20 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e2) (e2)))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_Hdd.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H9b.
% 10.95/11.20 cut (((e2) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H17f].
% 10.95/11.20 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 10.95/11.20 congruence.
% 10.95/11.20 apply zenon_H87. apply refl_equal.
% 10.95/11.20 apply zenon_H17f. apply sym_equal. exact zenon_Hfc.
% 10.95/11.20 (* end of lemma zenon_L145_ *)
% 10.95/11.20 assert (zenon_L146_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H180 zenon_H171 zenon_H1e zenon_Hec zenon_H122 zenon_H150 zenon_H125 zenon_H127 zenon_Hfc zenon_Hdd zenon_H31 zenon_H109.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 10.95/11.20 exact (zenon_H171 zenon_H175).
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 10.95/11.20 apply (zenon_L144_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 10.95/11.20 apply (zenon_L145_); trivial.
% 10.95/11.20 apply (zenon_L75_); trivial.
% 10.95/11.20 (* end of lemma zenon_L146_ *)
% 10.95/11.20 assert (zenon_L147_ : ((op (e2) (e2)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H66 zenon_Hfc zenon_Ha5.
% 10.95/11.20 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ].
% 10.95/11.20 cut (((e2) = (e2)) = ((e1) = (e2))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_Ha5.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_Ha6.
% 10.95/11.20 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.20 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 10.95/11.20 congruence.
% 10.95/11.20 cut (((op (e2) (e2)) = (e1)) = ((e2) = (e1))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_Ha7.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H66.
% 10.95/11.20 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 10.95/11.20 cut (((op (e2) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 10.95/11.20 congruence.
% 10.95/11.20 exact (zenon_Hf9 zenon_Hfc).
% 10.95/11.20 apply zenon_H2f. apply refl_equal.
% 10.95/11.20 apply zenon_H45. apply refl_equal.
% 10.95/11.20 apply zenon_H45. apply refl_equal.
% 10.95/11.20 (* end of lemma zenon_L147_ *)
% 10.95/11.20 assert (zenon_L148_ : ((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> ((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2))) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H16d zenon_H171 zenon_Hbe zenon_H84 zenon_Hdd zenon_H153 zenon_He1 zenon_Hfc zenon_Ha5 zenon_H1e zenon_H41 zenon_H118 zenon_H174.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ].
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ].
% 10.95/11.20 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 10.95/11.20 apply (zenon_L11_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 10.95/11.20 exact (zenon_Hbd zenon_Hc3).
% 10.95/11.20 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 10.95/11.20 apply (zenon_L147_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ].
% 10.95/11.20 exact (zenon_He0 zenon_He3).
% 10.95/11.20 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ].
% 10.95/11.20 apply (zenon_L27_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ].
% 10.95/11.20 apply (zenon_L145_); trivial.
% 10.95/11.20 apply (zenon_L131_); trivial.
% 10.95/11.20 exact (zenon_H118 zenon_H11c).
% 10.95/11.20 exact (zenon_H171 zenon_H175).
% 10.95/11.20 (* end of lemma zenon_L148_ *)
% 10.95/11.20 assert (zenon_L149_ : (~((e0) = (e2))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H109 zenon_H11c zenon_H24.
% 10.95/11.20 cut (((op (e1) (e1)) = (e2)) = ((e0) = (e2))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_H109.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H11c.
% 10.95/11.20 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.20 cut (((op (e1) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 10.95/11.20 congruence.
% 10.95/11.20 exact (zenon_H56 zenon_H24).
% 10.95/11.20 apply zenon_H45. apply refl_equal.
% 10.95/11.20 (* end of lemma zenon_L149_ *)
% 10.95/11.20 assert (zenon_L150_ : ((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2))) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e1)) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H174 zenon_H24 zenon_H109 zenon_Hc3.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ].
% 10.95/11.20 exact (zenon_Hbd zenon_Hc3).
% 10.95/11.20 apply (zenon_L149_); trivial.
% 10.95/11.20 (* end of lemma zenon_L150_ *)
% 10.95/11.20 assert (zenon_L151_ : ((op (e0) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((e1) = (e2))) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H1e zenon_H175 zenon_Ha5.
% 10.95/11.20 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ].
% 10.95/11.20 cut (((e2) = (e2)) = ((e1) = (e2))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_Ha5.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_Ha6.
% 10.95/11.20 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.20 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 10.95/11.20 congruence.
% 10.95/11.20 cut (((op (e0) (e0)) = (e1)) = ((e2) = (e1))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_Ha7.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H1e.
% 10.95/11.20 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 10.95/11.20 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H171].
% 10.95/11.20 congruence.
% 10.95/11.20 exact (zenon_H171 zenon_H175).
% 10.95/11.20 apply zenon_H2f. apply refl_equal.
% 10.95/11.20 apply zenon_H45. apply refl_equal.
% 10.95/11.20 apply zenon_H45. apply refl_equal.
% 10.95/11.20 (* end of lemma zenon_L151_ *)
% 10.95/11.20 assert (zenon_L152_ : ((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e0)) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H16d zenon_H1e zenon_Ha5 zenon_He3.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ].
% 10.95/11.20 exact (zenon_He0 zenon_He3).
% 10.95/11.20 apply (zenon_L151_); trivial.
% 10.95/11.20 (* end of lemma zenon_L152_ *)
% 10.95/11.20 assert (zenon_L153_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False).
% 10.95/11.20 do 0 intro. intros zenon_He3 zenon_H2c zenon_H41.
% 10.95/11.20 elim (classic ((op (e0) (e2)) = (op (e0) (e2)))); [ zenon_intro zenon_H183 | zenon_intro zenon_H87 ].
% 10.95/11.20 cut (((op (e0) (e2)) = (op (e0) (e2))) = ((op (e0) (e0)) = (op (e0) (e2)))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_H41.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H183.
% 10.95/11.20 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 10.95/11.20 cut (((op (e0) (e2)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H184].
% 10.95/11.20 congruence.
% 10.95/11.20 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e0) (e0)))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_H184.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_He3.
% 10.95/11.20 cut (((e0) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 10.95/11.20 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 10.95/11.20 congruence.
% 10.95/11.20 apply zenon_H87. apply refl_equal.
% 10.95/11.20 apply zenon_H36. apply sym_equal. exact zenon_H2c.
% 10.95/11.20 apply zenon_H87. apply refl_equal.
% 10.95/11.20 apply zenon_H87. apply refl_equal.
% 10.95/11.20 (* end of lemma zenon_L153_ *)
% 10.95/11.20 assert (zenon_L154_ : ((op (e2) (e0)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H80 zenon_He5 zenon_H104.
% 10.95/11.20 elim (classic ((op (e2) (e0)) = (op (e2) (e0)))); [ zenon_intro zenon_H105 | zenon_intro zenon_Hed ].
% 10.95/11.20 cut (((op (e2) (e0)) = (op (e2) (e0))) = ((op (e1) (e0)) = (op (e2) (e0)))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_H104.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H105.
% 10.95/11.20 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed].
% 10.95/11.20 cut (((op (e2) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H106].
% 10.95/11.20 congruence.
% 10.95/11.20 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e1) (e0)))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_H106.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H80.
% 10.95/11.20 cut (((e0) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H161].
% 10.95/11.20 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed].
% 10.95/11.20 congruence.
% 10.95/11.20 apply zenon_Hed. apply refl_equal.
% 10.95/11.20 apply zenon_H161. apply sym_equal. exact zenon_He5.
% 10.95/11.20 apply zenon_Hed. apply refl_equal.
% 10.95/11.20 apply zenon_Hed. apply refl_equal.
% 10.95/11.20 (* end of lemma zenon_L154_ *)
% 10.95/11.20 assert (zenon_L155_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> False).
% 10.95/11.20 do 0 intro. intros zenon_Hdd zenon_He3 zenon_Ha9.
% 10.95/11.20 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e2) (e2)))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_Hdd.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_He3.
% 10.95/11.20 cut (((e0) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb2].
% 10.95/11.20 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 10.95/11.20 congruence.
% 10.95/11.20 apply zenon_H87. apply refl_equal.
% 10.95/11.20 apply zenon_Hb2. apply sym_equal. exact zenon_Ha9.
% 10.95/11.20 (* end of lemma zenon_L155_ *)
% 10.95/11.20 assert (zenon_L156_ : (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H88 zenon_H175 zenon_H46.
% 10.95/11.20 cut (((op (e0) (e0)) = (e2)) = ((op (e0) (e0)) = (op (e0) (e1)))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_H88.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H175.
% 10.95/11.20 cut (((e2) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H185].
% 10.95/11.20 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 10.95/11.20 congruence.
% 10.95/11.20 apply zenon_H21. apply refl_equal.
% 10.95/11.20 apply zenon_H185. apply sym_equal. exact zenon_H46.
% 10.95/11.20 (* end of lemma zenon_L156_ *)
% 10.95/11.20 assert (zenon_L157_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H84 zenon_He3 zenon_Hf0.
% 10.95/11.20 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e3) (e2)))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_H84.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_He3.
% 10.95/11.20 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf6].
% 10.95/11.20 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 10.95/11.20 congruence.
% 10.95/11.20 apply zenon_H87. apply refl_equal.
% 10.95/11.20 apply zenon_Hf6. apply sym_equal. exact zenon_Hf0.
% 10.95/11.20 (* end of lemma zenon_L157_ *)
% 10.95/11.20 assert (zenon_L158_ : (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e3)) = (e1)) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H32 zenon_H1e zenon_H186.
% 10.95/11.20 cut (((op (e0) (e0)) = (e1)) = ((op (e0) (e0)) = (op (e0) (e3)))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_H32.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H1e.
% 10.95/11.20 cut (((e1) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H187].
% 10.95/11.20 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 10.95/11.20 congruence.
% 10.95/11.20 apply zenon_H21. apply refl_equal.
% 10.95/11.20 apply zenon_H187. apply sym_equal. exact zenon_H186.
% 10.95/11.20 (* end of lemma zenon_L158_ *)
% 10.95/11.20 assert (zenon_L159_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e0)))) -> ((op (e3) (e3)) = (e0)) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H188 zenon_H68.
% 10.95/11.20 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 10.95/11.20 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.20 congruence.
% 10.95/11.20 apply zenon_H3a. apply refl_equal.
% 10.95/11.20 exact (zenon_H165 zenon_H68).
% 10.95/11.20 (* end of lemma zenon_L159_ *)
% 10.95/11.20 assert (zenon_L160_ : ((op (e3) (e0)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> (~((e2) = (op (e3) (op (e3) (e3))))) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H8d zenon_H68 zenon_H189.
% 10.95/11.20 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ].
% 10.95/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e2) = (op (e3) (op (e3) (e3))))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_H189.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H18a.
% 10.95/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 10.95/11.20 cut (((op (e3) (op (e3) (e3))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H18c].
% 10.95/11.20 congruence.
% 10.95/11.20 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (op (e3) (e3))) = (e2))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_H18c.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H8d.
% 10.95/11.20 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.20 cut (((op (e3) (e0)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18d].
% 10.95/11.20 congruence.
% 10.95/11.20 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ].
% 10.95/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e0)) = (op (e3) (op (e3) (e3))))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_H18d.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H18a.
% 10.95/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 10.95/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H188].
% 10.95/11.20 congruence.
% 10.95/11.20 apply (zenon_L159_); trivial.
% 10.95/11.20 apply zenon_H18b. apply refl_equal.
% 10.95/11.20 apply zenon_H18b. apply refl_equal.
% 10.95/11.20 apply zenon_H45. apply refl_equal.
% 10.95/11.20 apply zenon_H18b. apply refl_equal.
% 10.95/11.20 apply zenon_H18b. apply refl_equal.
% 10.95/11.20 (* end of lemma zenon_L160_ *)
% 10.95/11.20 assert (zenon_L161_ : ((op (e2) (e3)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H18e zenon_H8d zenon_H68.
% 10.95/11.20 apply (zenon_notand_s _ _ ax24); [ zenon_intro zenon_H190 | zenon_intro zenon_H18f ].
% 10.95/11.20 apply zenon_H190. apply sym_equal. exact zenon_H68.
% 10.95/11.20 apply (zenon_notand_s _ _ zenon_H18f); [ zenon_intro zenon_H191 | zenon_intro zenon_H189 ].
% 10.95/11.20 elim (classic ((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [ zenon_intro zenon_H192 | zenon_intro zenon_H193 ].
% 10.95/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3))) = ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_H191.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H192.
% 10.95/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 10.95/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H194].
% 10.95/11.20 congruence.
% 10.95/11.20 cut (((op (e2) (e3)) = (e1)) = ((op (op (e3) (op (e3) (e3))) (e3)) = (e1))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_H194.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H18e.
% 10.95/11.20 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 10.95/11.20 cut (((op (e2) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H195].
% 10.95/11.20 congruence.
% 10.95/11.20 elim (classic ((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [ zenon_intro zenon_H192 | zenon_intro zenon_H193 ].
% 10.95/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3))) = ((op (e2) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_H195.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H192.
% 10.95/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 10.95/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H196].
% 10.95/11.20 congruence.
% 10.95/11.20 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 10.95/11.20 cut (((op (e3) (op (e3) (e3))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H18c].
% 10.95/11.20 congruence.
% 10.95/11.20 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (op (e3) (e3))) = (e2))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_H18c.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H8d.
% 10.95/11.20 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.20 cut (((op (e3) (e0)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18d].
% 10.95/11.20 congruence.
% 10.95/11.20 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ].
% 10.95/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e0)) = (op (e3) (op (e3) (e3))))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_H18d.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H18a.
% 10.95/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 10.95/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H188].
% 10.95/11.20 congruence.
% 10.95/11.20 apply (zenon_L159_); trivial.
% 10.95/11.20 apply zenon_H18b. apply refl_equal.
% 10.95/11.20 apply zenon_H18b. apply refl_equal.
% 10.95/11.20 apply zenon_H45. apply refl_equal.
% 10.95/11.20 apply zenon_H3a. apply refl_equal.
% 10.95/11.20 apply zenon_H193. apply refl_equal.
% 10.95/11.20 apply zenon_H193. apply refl_equal.
% 10.95/11.20 apply zenon_H2f. apply refl_equal.
% 10.95/11.20 apply zenon_H193. apply refl_equal.
% 10.95/11.20 apply zenon_H193. apply refl_equal.
% 10.95/11.20 apply (zenon_L160_); trivial.
% 10.95/11.20 (* end of lemma zenon_L161_ *)
% 10.95/11.20 assert (zenon_L162_ : ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((e1) = (e2))) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H141 zenon_H95 zenon_Ha5.
% 10.95/11.20 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ].
% 10.95/11.20 cut (((e2) = (e2)) = ((e1) = (e2))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_Ha5.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_Ha6.
% 10.95/11.20 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 10.95/11.20 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 10.95/11.20 congruence.
% 10.95/11.20 cut (((op (e3) (e1)) = (e1)) = ((e2) = (e1))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_Ha7.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_H141.
% 10.95/11.20 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 10.95/11.20 cut (((op (e3) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 10.95/11.20 congruence.
% 10.95/11.20 exact (zenon_H197 zenon_H95).
% 10.95/11.20 apply zenon_H2f. apply refl_equal.
% 10.95/11.20 apply zenon_H45. apply refl_equal.
% 10.95/11.20 apply zenon_H45. apply refl_equal.
% 10.95/11.20 (* end of lemma zenon_L162_ *)
% 10.95/11.20 assert (zenon_L163_ : (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> False).
% 10.95/11.20 do 0 intro. intros zenon_Hf5 zenon_Hfc zenon_H9c.
% 10.95/11.20 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e3) (e2)))).
% 10.95/11.20 intro zenon_D_pnotp.
% 10.95/11.20 apply zenon_Hf5.
% 10.95/11.20 rewrite <- zenon_D_pnotp.
% 10.95/11.20 exact zenon_Hfc.
% 10.95/11.20 cut (((e2) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9d].
% 10.95/11.20 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 10.95/11.20 congruence.
% 10.95/11.20 apply zenon_Hce. apply refl_equal.
% 10.95/11.20 apply zenon_H9d. apply sym_equal. exact zenon_H9c.
% 10.95/11.20 (* end of lemma zenon_L163_ *)
% 10.95/11.20 assert (zenon_L164_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e1)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> False).
% 10.95/11.20 do 0 intro. intros zenon_H9e zenon_H18e zenon_Ha5 zenon_H141 zenon_Hfc zenon_Hf5 zenon_H109 zenon_H68.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 10.95/11.20 apply (zenon_L161_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 10.95/11.20 apply (zenon_L162_); trivial.
% 10.95/11.20 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.04/11.20 apply (zenon_L163_); trivial.
% 11.04/11.20 apply (zenon_L129_); trivial.
% 11.04/11.20 (* end of lemma zenon_L164_ *)
% 11.04/11.20 assert (zenon_L165_ : (~((e0) = (e1))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H2d zenon_H6e zenon_H68.
% 11.04/11.20 cut (((op (e3) (e3)) = (e1)) = ((e0) = (e1))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H2d.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H6e.
% 11.04/11.20 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.20 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 11.04/11.20 congruence.
% 11.04/11.20 exact (zenon_H165 zenon_H68).
% 11.04/11.20 apply zenon_H2f. apply refl_equal.
% 11.04/11.20 (* end of lemma zenon_L165_ *)
% 11.04/11.20 assert (zenon_L166_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e0)) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H198 zenon_H1e zenon_H32 zenon_H199 zenon_H109 zenon_Hf5 zenon_Hfc zenon_H141 zenon_Ha5 zenon_H9e zenon_H2d zenon_H68.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ].
% 11.04/11.20 apply (zenon_L158_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ].
% 11.04/11.20 exact (zenon_H199 zenon_H6f).
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ].
% 11.04/11.20 apply (zenon_L164_); trivial.
% 11.04/11.20 apply (zenon_L165_); trivial.
% 11.04/11.20 (* end of lemma zenon_L166_ *)
% 11.04/11.20 assert (zenon_L167_ : (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H19c zenon_Hc3 zenon_H85.
% 11.04/11.20 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e3) (e2)))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H19c.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_Hc3.
% 11.04/11.20 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 11.04/11.20 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H19d].
% 11.04/11.20 congruence.
% 11.04/11.20 apply zenon_H19d. apply refl_equal.
% 11.04/11.20 apply zenon_H86. apply sym_equal. exact zenon_H85.
% 11.04/11.20 (* end of lemma zenon_L167_ *)
% 11.04/11.20 assert (zenon_L168_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H19e zenon_H80 zenon_H12d zenon_H2d zenon_H19c zenon_Hc3 zenon_H198 zenon_H1e zenon_H32 zenon_H199 zenon_H109 zenon_Hf5 zenon_Ha5 zenon_H9e zenon_H155 zenon_H15e zenon_H84 zenon_He3 zenon_H162 zenon_H24 zenon_H127 zenon_H125 zenon_H122 zenon_Hec zenon_H46 zenon_H166 zenon_H19f.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.04/11.20 apply (zenon_L109_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.04/11.20 apply (zenon_L90_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.04/11.20 apply (zenon_L144_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.04/11.20 apply (zenon_L128_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.04/11.20 apply (zenon_L157_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.04/11.20 apply (zenon_L120_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.04/11.20 apply (zenon_L166_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.04/11.20 apply (zenon_L167_); trivial.
% 11.04/11.20 apply (zenon_L165_); trivial.
% 11.04/11.20 exact (zenon_H19f zenon_H114).
% 11.04/11.20 (* end of lemma zenon_L168_ *)
% 11.04/11.20 assert (zenon_L169_ : ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H150 zenon_H156 zenon_H2d.
% 11.04/11.20 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 11.04/11.20 cut (((e1) = (e1)) = ((e0) = (e1))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H2d.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H2e.
% 11.04/11.20 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.20 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 11.04/11.20 congruence.
% 11.04/11.20 cut (((op (e3) (e0)) = (e0)) = ((e1) = (e0))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H30.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H150.
% 11.04/11.20 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.20 cut (((op (e3) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1a2].
% 11.04/11.20 congruence.
% 11.04/11.20 exact (zenon_H1a2 zenon_H156).
% 11.04/11.20 apply zenon_H2b. apply refl_equal.
% 11.04/11.20 apply zenon_H2f. apply refl_equal.
% 11.04/11.20 apply zenon_H2f. apply refl_equal.
% 11.04/11.20 (* end of lemma zenon_L169_ *)
% 11.04/11.20 assert (zenon_L170_ : (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H113 zenon_H123 zenon_H18e.
% 11.04/11.20 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (e0)) = (op (e2) (e3)))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H113.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H123.
% 11.04/11.20 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1a3].
% 11.04/11.20 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed].
% 11.04/11.20 congruence.
% 11.04/11.20 apply zenon_Hed. apply refl_equal.
% 11.04/11.20 apply zenon_H1a3. apply sym_equal. exact zenon_H18e.
% 11.04/11.20 (* end of lemma zenon_L170_ *)
% 11.04/11.20 assert (zenon_L171_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H127 zenon_H125 zenon_H150 zenon_H18e zenon_H113 zenon_Hfc zenon_Hec zenon_H46 zenon_H1e.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ].
% 11.04/11.20 apply (zenon_L113_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ].
% 11.04/11.20 apply (zenon_L170_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ].
% 11.04/11.20 apply (zenon_L143_); trivial.
% 11.04/11.20 apply (zenon_L16_); trivial.
% 11.04/11.20 (* end of lemma zenon_L171_ *)
% 11.04/11.20 assert (zenon_L172_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H19e zenon_H8d zenon_H12d zenon_H1e zenon_H46 zenon_Hec zenon_H113 zenon_H18e zenon_H150 zenon_H125 zenon_H127 zenon_H19f.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.04/11.20 apply (zenon_L84_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.04/11.20 apply (zenon_L90_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.04/11.20 apply (zenon_L171_); trivial.
% 11.04/11.20 exact (zenon_H19f zenon_H114).
% 11.04/11.20 (* end of lemma zenon_L172_ *)
% 11.04/11.20 assert (zenon_L173_ : (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False).
% 11.04/11.20 do 0 intro. intros zenon_Hf7 zenon_Ha9 zenon_Hba.
% 11.04/11.20 cut (((op (e2) (e2)) = (e0)) = ((op (e2) (e2)) = (op (e2) (e3)))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_Hf7.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_Ha9.
% 11.04/11.20 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hbb].
% 11.04/11.20 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 11.04/11.20 congruence.
% 11.04/11.20 apply zenon_Hce. apply refl_equal.
% 11.04/11.20 apply zenon_Hbb. apply sym_equal. exact zenon_Hba.
% 11.04/11.20 (* end of lemma zenon_L173_ *)
% 11.04/11.20 assert (zenon_L174_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H140 zenon_H95 zenon_H9c.
% 11.04/11.20 cut (((op (e3) (e1)) = (e2)) = ((op (e3) (e1)) = (op (e3) (e2)))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H140.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H95.
% 11.04/11.20 cut (((e2) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9d].
% 11.04/11.20 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H142].
% 11.04/11.20 congruence.
% 11.04/11.20 apply zenon_H142. apply refl_equal.
% 11.04/11.20 apply zenon_H9d. apply sym_equal. exact zenon_H9c.
% 11.04/11.20 (* end of lemma zenon_L174_ *)
% 11.04/11.20 assert (zenon_L175_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H170 zenon_H150 zenon_H156 zenon_H138 zenon_H9c zenon_H140 zenon_H132 zenon_H89.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H163 | zenon_intro zenon_H17d ].
% 11.04/11.20 apply (zenon_L134_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H141 | zenon_intro zenon_H17e ].
% 11.04/11.20 apply (zenon_L122_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H95 | zenon_intro zenon_H133 ].
% 11.04/11.20 apply (zenon_L174_); trivial.
% 11.04/11.20 apply (zenon_L91_); trivial.
% 11.04/11.20 (* end of lemma zenon_L175_ *)
% 11.04/11.20 assert (zenon_L176_ : (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False).
% 11.04/11.20 do 0 intro. intros zenon_Hf7 zenon_H66 zenon_H18e.
% 11.04/11.20 cut (((op (e2) (e2)) = (e1)) = ((op (e2) (e2)) = (op (e2) (e3)))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_Hf7.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H66.
% 11.04/11.20 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1a3].
% 11.04/11.20 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 11.04/11.20 congruence.
% 11.04/11.20 apply zenon_Hce. apply refl_equal.
% 11.04/11.20 apply zenon_H1a3. apply sym_equal. exact zenon_H18e.
% 11.04/11.20 (* end of lemma zenon_L176_ *)
% 11.04/11.20 assert (zenon_L177_ : ((op (e3) (e3)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H6e zenon_H141 zenon_H16b.
% 11.04/11.20 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ].
% 11.04/11.20 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e1)) = (op (e3) (e3)))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H16b.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H6a.
% 11.04/11.20 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.20 cut (((op (e3) (e3)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16c].
% 11.04/11.20 congruence.
% 11.04/11.20 cut (((op (e3) (e3)) = (e1)) = ((op (e3) (e3)) = (op (e3) (e1)))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H16c.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H6e.
% 11.04/11.20 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H159].
% 11.04/11.20 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.20 congruence.
% 11.04/11.20 apply zenon_H6b. apply refl_equal.
% 11.04/11.20 apply zenon_H159. apply sym_equal. exact zenon_H141.
% 11.04/11.20 apply zenon_H6b. apply refl_equal.
% 11.04/11.20 apply zenon_H6b. apply refl_equal.
% 11.04/11.20 (* end of lemma zenon_L177_ *)
% 11.04/11.20 assert (zenon_L178_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H198 zenon_H1e zenon_H32 zenon_H199 zenon_H66 zenon_Hf7 zenon_H141 zenon_H16b.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ].
% 11.04/11.20 apply (zenon_L158_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ].
% 11.04/11.20 exact (zenon_H199 zenon_H6f).
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ].
% 11.04/11.20 apply (zenon_L176_); trivial.
% 11.04/11.20 apply (zenon_L177_); trivial.
% 11.04/11.20 (* end of lemma zenon_L178_ *)
% 11.04/11.20 assert (zenon_L179_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H170 zenon_H150 zenon_H138 zenon_H16b zenon_H6e zenon_H9c zenon_H140 zenon_H132 zenon_H89.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H163 | zenon_intro zenon_H17d ].
% 11.04/11.20 apply (zenon_L134_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H141 | zenon_intro zenon_H17e ].
% 11.04/11.20 apply (zenon_L177_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H95 | zenon_intro zenon_H133 ].
% 11.04/11.20 apply (zenon_L174_); trivial.
% 11.04/11.20 apply (zenon_L91_); trivial.
% 11.04/11.20 (* end of lemma zenon_L179_ *)
% 11.04/11.20 assert (zenon_L180_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H15e zenon_Hf7 zenon_H66 zenon_H199 zenon_H32 zenon_H1e zenon_H198 zenon_Hc3 zenon_H19c zenon_H170 zenon_H150 zenon_H138 zenon_H16b zenon_H9c zenon_H140 zenon_H132 zenon_H89.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.04/11.20 apply (zenon_L175_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.04/11.20 apply (zenon_L178_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.04/11.20 apply (zenon_L167_); trivial.
% 11.04/11.20 apply (zenon_L179_); trivial.
% 11.04/11.20 (* end of lemma zenon_L180_ *)
% 11.04/11.20 assert (zenon_L181_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_Hf8 zenon_Hba zenon_H89 zenon_H132 zenon_H140 zenon_H16b zenon_H138 zenon_H150 zenon_H170 zenon_H19c zenon_Hc3 zenon_H198 zenon_H1e zenon_H32 zenon_H199 zenon_Hf7 zenon_H15e zenon_H9c zenon_Hf5 zenon_H1a4.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ].
% 11.04/11.20 apply (zenon_L173_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ].
% 11.04/11.20 apply (zenon_L180_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ].
% 11.04/11.20 apply (zenon_L163_); trivial.
% 11.04/11.20 exact (zenon_H1a4 zenon_H65).
% 11.04/11.20 (* end of lemma zenon_L181_ *)
% 11.04/11.20 assert (zenon_L182_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False).
% 11.04/11.20 do 0 intro. intros zenon_Hb9 zenon_H186 zenon_H18e.
% 11.04/11.20 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_Hb9.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H186.
% 11.04/11.20 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1a3].
% 11.04/11.20 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 11.04/11.20 congruence.
% 11.04/11.20 apply zenon_H34. apply refl_equal.
% 11.04/11.20 apply zenon_H1a3. apply sym_equal. exact zenon_H18e.
% 11.04/11.20 (* end of lemma zenon_L182_ *)
% 11.04/11.20 assert (zenon_L183_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e3))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_He3 zenon_Hdc zenon_H81.
% 11.04/11.20 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 11.04/11.20 cut (((e3) = (e3)) = ((e0) = (e3))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H81.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H39.
% 11.04/11.20 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.20 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 11.04/11.20 congruence.
% 11.04/11.20 cut (((op (e0) (e2)) = (e0)) = ((e3) = (e0))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H82.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_He3.
% 11.04/11.20 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.20 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H100].
% 11.04/11.20 congruence.
% 11.04/11.20 exact (zenon_H100 zenon_Hdc).
% 11.04/11.20 apply zenon_H2b. apply refl_equal.
% 11.04/11.20 apply zenon_H3a. apply refl_equal.
% 11.04/11.20 apply zenon_H3a. apply refl_equal.
% 11.04/11.20 (* end of lemma zenon_L183_ *)
% 11.04/11.20 assert (zenon_L184_ : ((op (e0) (e3)) = (e2)) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H108 zenon_H101 zenon_H149.
% 11.04/11.20 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 11.04/11.20 cut (((e3) = (e3)) = ((e2) = (e3))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H149.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H39.
% 11.04/11.20 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.20 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 11.04/11.20 congruence.
% 11.04/11.20 cut (((op (e0) (e3)) = (e2)) = ((e3) = (e2))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H14a.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H108.
% 11.04/11.20 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.04/11.20 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H102].
% 11.04/11.20 congruence.
% 11.04/11.20 exact (zenon_H102 zenon_H101).
% 11.04/11.20 apply zenon_H45. apply refl_equal.
% 11.04/11.20 apply zenon_H3a. apply refl_equal.
% 11.04/11.20 apply zenon_H3a. apply refl_equal.
% 11.04/11.20 (* end of lemma zenon_L184_ *)
% 11.04/11.20 assert (zenon_L185_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H14b zenon_H38 zenon_H1e zenon_H8d zenon_H81 zenon_He3 zenon_H108 zenon_H149.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.20 apply (zenon_L8_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.20 apply (zenon_L30_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.20 apply (zenon_L183_); trivial.
% 11.04/11.20 apply (zenon_L184_); trivial.
% 11.04/11.20 (* end of lemma zenon_L185_ *)
% 11.04/11.20 assert (zenon_L186_ : ((op (e3) (e3)) = (e2)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H7c zenon_H108 zenon_H69.
% 11.04/11.20 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ].
% 11.04/11.20 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e0) (e3)) = (op (e3) (e3)))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H69.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H6a.
% 11.04/11.20 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.20 cut (((op (e3) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 11.04/11.20 congruence.
% 11.04/11.20 cut (((op (e3) (e3)) = (e2)) = ((op (e3) (e3)) = (op (e0) (e3)))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H6c.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H7c.
% 11.04/11.20 cut (((e2) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1a5].
% 11.04/11.20 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.20 congruence.
% 11.04/11.20 apply zenon_H6b. apply refl_equal.
% 11.04/11.20 apply zenon_H1a5. apply sym_equal. exact zenon_H108.
% 11.04/11.20 apply zenon_H6b. apply refl_equal.
% 11.04/11.20 apply zenon_H6b. apply refl_equal.
% 11.04/11.20 (* end of lemma zenon_L186_ *)
% 11.04/11.20 assert (zenon_L187_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e2) (e3)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H9e zenon_H149 zenon_He3 zenon_H81 zenon_H38 zenon_H14b zenon_Ha5 zenon_H141 zenon_H1a4 zenon_Hf5 zenon_H15e zenon_Hf7 zenon_H199 zenon_H32 zenon_H1e zenon_H198 zenon_Hc3 zenon_H19c zenon_H170 zenon_H150 zenon_H138 zenon_H16b zenon_H140 zenon_H132 zenon_H89 zenon_Hba zenon_Hf8 zenon_H108 zenon_H69.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.04/11.20 apply (zenon_L185_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.04/11.20 apply (zenon_L162_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.04/11.20 apply (zenon_L181_); trivial.
% 11.04/11.20 apply (zenon_L186_); trivial.
% 11.04/11.20 (* end of lemma zenon_L187_ *)
% 11.04/11.20 assert (zenon_L188_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_Hbc zenon_H125 zenon_H24 zenon_Ha1 zenon_Hdd zenon_H9e zenon_H149 zenon_He3 zenon_H81 zenon_H38 zenon_H14b zenon_Ha5 zenon_H141 zenon_H1a4 zenon_Hf5 zenon_H15e zenon_Hf7 zenon_H199 zenon_H32 zenon_H1e zenon_H198 zenon_Hc3 zenon_H19c zenon_H170 zenon_H150 zenon_H138 zenon_H16b zenon_H140 zenon_H132 zenon_H89 zenon_Hf8 zenon_H108 zenon_H69.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.04/11.20 apply (zenon_L113_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.04/11.20 apply (zenon_L35_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.04/11.20 apply (zenon_L155_); trivial.
% 11.04/11.20 apply (zenon_L187_); trivial.
% 11.04/11.20 (* end of lemma zenon_L188_ *)
% 11.04/11.20 assert (zenon_L189_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H1a6 zenon_H1a7 zenon_Hba.
% 11.04/11.20 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (e3)) = (op (e2) (e3)))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H1a6.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H1a7.
% 11.04/11.20 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hbb].
% 11.04/11.20 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 11.04/11.20 congruence.
% 11.04/11.20 apply zenon_H110. apply refl_equal.
% 11.04/11.20 apply zenon_Hbb. apply sym_equal. exact zenon_Hba.
% 11.04/11.20 (* end of lemma zenon_L189_ *)
% 11.04/11.20 assert (zenon_L190_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H1a6 zenon_H6f zenon_H18e.
% 11.04/11.20 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e2) (e3)))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H1a6.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H6f.
% 11.04/11.20 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1a3].
% 11.04/11.20 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 11.04/11.20 congruence.
% 11.04/11.20 apply zenon_H110. apply refl_equal.
% 11.04/11.20 apply zenon_H1a3. apply sym_equal. exact zenon_H18e.
% 11.04/11.20 (* end of lemma zenon_L190_ *)
% 11.04/11.20 assert (zenon_L191_ : ((op (e3) (e3)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H7c zenon_H10c zenon_H70.
% 11.04/11.20 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ].
% 11.04/11.20 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e1) (e3)) = (op (e3) (e3)))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H70.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H6a.
% 11.04/11.20 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.20 cut (((op (e3) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 11.04/11.20 congruence.
% 11.04/11.20 cut (((op (e3) (e3)) = (e2)) = ((op (e3) (e3)) = (op (e1) (e3)))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H71.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H7c.
% 11.04/11.20 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1a8].
% 11.04/11.20 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.20 congruence.
% 11.04/11.20 apply zenon_H6b. apply refl_equal.
% 11.04/11.20 apply zenon_H1a8. apply sym_equal. exact zenon_H10c.
% 11.04/11.20 apply zenon_H6b. apply refl_equal.
% 11.04/11.20 apply zenon_H6b. apply refl_equal.
% 11.04/11.20 (* end of lemma zenon_L191_ *)
% 11.04/11.20 assert (zenon_L192_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H1a9 zenon_H101 zenon_Hd1.
% 11.04/11.20 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H1a9.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H101.
% 11.04/11.20 cut (((e3) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1aa].
% 11.04/11.20 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 11.04/11.20 congruence.
% 11.04/11.20 apply zenon_H34. apply refl_equal.
% 11.04/11.20 apply zenon_H1aa. apply sym_equal. exact zenon_Hd1.
% 11.04/11.20 (* end of lemma zenon_L192_ *)
% 11.04/11.20 assert (zenon_L193_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H1ab zenon_Hba zenon_H18e zenon_H1a6 zenon_H70 zenon_H7c zenon_H1a9 zenon_H101.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ].
% 11.04/11.20 apply (zenon_L189_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ].
% 11.04/11.20 apply (zenon_L190_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ].
% 11.04/11.20 apply (zenon_L191_); trivial.
% 11.04/11.20 apply (zenon_L192_); trivial.
% 11.04/11.20 (* end of lemma zenon_L193_ *)
% 11.04/11.20 assert (zenon_L194_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H1ae zenon_H1af zenon_Hb9 zenon_H69 zenon_Hf8 zenon_H89 zenon_H132 zenon_H140 zenon_H16b zenon_H138 zenon_H150 zenon_H170 zenon_H19c zenon_Hc3 zenon_H198 zenon_H1e zenon_H32 zenon_H199 zenon_Hf7 zenon_H15e zenon_Hf5 zenon_H1a4 zenon_H141 zenon_Ha5 zenon_H14b zenon_H38 zenon_H81 zenon_He3 zenon_H149 zenon_H9e zenon_Hdd zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_H1ab zenon_Hba zenon_H18e zenon_H1a6 zenon_H70 zenon_H7c zenon_H1a9.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ].
% 11.04/11.20 exact (zenon_H1af zenon_H31).
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ].
% 11.04/11.20 apply (zenon_L182_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ].
% 11.04/11.20 apply (zenon_L188_); trivial.
% 11.04/11.20 apply (zenon_L193_); trivial.
% 11.04/11.20 (* end of lemma zenon_L194_ *)
% 11.04/11.20 assert (zenon_L195_ : (~((op (e2) (e3)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H19f zenon_H127 zenon_H113 zenon_Hec zenon_H46 zenon_H12d zenon_H19e zenon_H1ae zenon_H1af zenon_Hb9 zenon_H69 zenon_Hf8 zenon_H89 zenon_H132 zenon_H140 zenon_H16b zenon_H138 zenon_H150 zenon_H170 zenon_H19c zenon_Hc3 zenon_H198 zenon_H1e zenon_H32 zenon_H199 zenon_Hf7 zenon_H15e zenon_Hf5 zenon_H1a4 zenon_H141 zenon_Ha5 zenon_H14b zenon_H38 zenon_H81 zenon_He3 zenon_H149 zenon_H9e zenon_Hdd zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_H1ab zenon_Hba zenon_H18e zenon_H1a6 zenon_H70 zenon_H1a9.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.04/11.20 apply (zenon_L172_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.04/11.20 apply (zenon_L162_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.04/11.20 apply (zenon_L181_); trivial.
% 11.04/11.20 apply (zenon_L194_); trivial.
% 11.04/11.20 (* end of lemma zenon_L195_ *)
% 11.04/11.20 assert (zenon_L196_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e1)) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H1b2 zenon_H6e.
% 11.04/11.20 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 11.04/11.20 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.20 congruence.
% 11.04/11.20 apply zenon_H3a. apply refl_equal.
% 11.04/11.20 exact (zenon_H15d zenon_H6e).
% 11.04/11.20 (* end of lemma zenon_L196_ *)
% 11.04/11.20 assert (zenon_L197_ : ((op (e3) (e1)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> (~((e2) = (op (e3) (op (e3) (e3))))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H95 zenon_H6e zenon_H189.
% 11.04/11.20 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ].
% 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e2) = (op (e3) (op (e3) (e3))))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H189.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H18a.
% 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H18c].
% 11.04/11.20 congruence.
% 11.04/11.20 cut (((op (e3) (e1)) = (e2)) = ((op (e3) (op (e3) (e3))) = (e2))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H18c.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H95.
% 11.04/11.20 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.04/11.20 cut (((op (e3) (e1)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1b3].
% 11.04/11.20 congruence.
% 11.04/11.20 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ].
% 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e1)) = (op (e3) (op (e3) (e3))))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H1b3.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H18a.
% 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1b2].
% 11.04/11.20 congruence.
% 11.04/11.20 apply (zenon_L196_); trivial.
% 11.04/11.20 apply zenon_H18b. apply refl_equal.
% 11.04/11.20 apply zenon_H18b. apply refl_equal.
% 11.04/11.20 apply zenon_H45. apply refl_equal.
% 11.04/11.20 apply zenon_H18b. apply refl_equal.
% 11.04/11.20 apply zenon_H18b. apply refl_equal.
% 11.04/11.20 (* end of lemma zenon_L197_ *)
% 11.04/11.20 assert (zenon_L198_ : ((op (e2) (e3)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> False).
% 11.04/11.20 do 0 intro. intros zenon_Hba zenon_H95 zenon_H6e.
% 11.04/11.20 apply (zenon_notand_s _ _ ax26); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b4 ].
% 11.04/11.20 apply zenon_H1b5. apply sym_equal. exact zenon_H6e.
% 11.04/11.20 apply (zenon_notand_s _ _ zenon_H1b4); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H189 ].
% 11.04/11.20 elim (classic ((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [ zenon_intro zenon_H192 | zenon_intro zenon_H193 ].
% 11.04/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3))) = ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H1b6.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H192.
% 11.04/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 11.04/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1b7].
% 11.04/11.20 congruence.
% 11.04/11.20 cut (((op (e2) (e3)) = (e0)) = ((op (op (e3) (op (e3) (e3))) (e3)) = (e0))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H1b7.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_Hba.
% 11.04/11.20 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.20 cut (((op (e2) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H195].
% 11.04/11.20 congruence.
% 11.04/11.20 elim (classic ((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [ zenon_intro zenon_H192 | zenon_intro zenon_H193 ].
% 11.04/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3))) = ((op (e2) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H195.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H192.
% 11.04/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 11.04/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H196].
% 11.04/11.20 congruence.
% 11.04/11.20 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H18c].
% 11.04/11.20 congruence.
% 11.04/11.20 cut (((op (e3) (e1)) = (e2)) = ((op (e3) (op (e3) (e3))) = (e2))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H18c.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H95.
% 11.04/11.20 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.04/11.20 cut (((op (e3) (e1)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1b3].
% 11.04/11.20 congruence.
% 11.04/11.20 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ].
% 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e1)) = (op (e3) (op (e3) (e3))))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H1b3.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H18a.
% 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1b2].
% 11.04/11.20 congruence.
% 11.04/11.20 apply (zenon_L196_); trivial.
% 11.04/11.20 apply zenon_H18b. apply refl_equal.
% 11.04/11.20 apply zenon_H18b. apply refl_equal.
% 11.04/11.20 apply zenon_H45. apply refl_equal.
% 11.04/11.20 apply zenon_H3a. apply refl_equal.
% 11.04/11.20 apply zenon_H193. apply refl_equal.
% 11.04/11.20 apply zenon_H193. apply refl_equal.
% 11.04/11.20 apply zenon_H2b. apply refl_equal.
% 11.04/11.20 apply zenon_H193. apply refl_equal.
% 11.04/11.20 apply zenon_H193. apply refl_equal.
% 11.04/11.20 apply (zenon_L197_); trivial.
% 11.04/11.20 (* end of lemma zenon_L198_ *)
% 11.04/11.20 assert (zenon_L199_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H9e zenon_H1e zenon_Hba zenon_H89 zenon_H132 zenon_H140 zenon_H16b zenon_H138 zenon_H150 zenon_H170 zenon_Ha5 zenon_H6e.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.04/11.20 apply (zenon_L30_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.04/11.20 apply (zenon_L198_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.04/11.20 apply (zenon_L179_); trivial.
% 11.04/11.20 apply (zenon_L125_); trivial.
% 11.04/11.20 (* end of lemma zenon_L199_ *)
% 11.04/11.20 assert (zenon_L200_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H1a9 zenon_H70 zenon_H1a6 zenon_H1ab zenon_Hbc zenon_H125 zenon_H24 zenon_Ha1 zenon_Hdd zenon_H149 zenon_He3 zenon_H81 zenon_H38 zenon_H14b zenon_H141 zenon_H1a4 zenon_Hf5 zenon_H15e zenon_Hf7 zenon_H199 zenon_H32 zenon_H198 zenon_Hc3 zenon_H19c zenon_Hf8 zenon_H69 zenon_Hb9 zenon_H1af zenon_H1ae zenon_H19e zenon_H12d zenon_H46 zenon_Hec zenon_H113 zenon_H127 zenon_H19f zenon_H9e zenon_H1e zenon_Hba zenon_H89 zenon_H132 zenon_H140 zenon_H16b zenon_H138 zenon_H150 zenon_H170 zenon_Ha5.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ].
% 11.04/11.20 apply (zenon_L158_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ].
% 11.04/11.20 exact (zenon_H199 zenon_H6f).
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ].
% 11.04/11.20 apply (zenon_L195_); trivial.
% 11.04/11.20 apply (zenon_L199_); trivial.
% 11.04/11.20 (* end of lemma zenon_L200_ *)
% 11.04/11.20 assert (zenon_L201_ : (~((e0) = (e1))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H2d zenon_H19f zenon_H127 zenon_H113 zenon_Hec zenon_H46 zenon_H12d zenon_H19e zenon_H1ae zenon_H1af zenon_Hb9 zenon_H69 zenon_Hf8 zenon_H198 zenon_H32 zenon_H199 zenon_Hf7 zenon_H15e zenon_Hf5 zenon_H1a4 zenon_H14b zenon_H38 zenon_H81 zenon_He3 zenon_H149 zenon_Hdd zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_H1ab zenon_H1a6 zenon_H70 zenon_H1a9 zenon_Hc3 zenon_H19c zenon_H9e zenon_H1e zenon_Hba zenon_H89 zenon_H132 zenon_H140 zenon_H16b zenon_H138 zenon_H150 zenon_H170 zenon_Ha5.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.04/11.20 apply (zenon_L169_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.04/11.20 apply (zenon_L200_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.04/11.20 apply (zenon_L167_); trivial.
% 11.04/11.20 apply (zenon_L199_); trivial.
% 11.04/11.20 (* end of lemma zenon_L201_ *)
% 11.04/11.20 assert (zenon_L202_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> False).
% 11.04/11.20 do 0 intro. intros zenon_Hb9 zenon_H101 zenon_H74.
% 11.04/11.20 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_Hb9.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H101.
% 11.04/11.20 cut (((e3) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H77].
% 11.04/11.20 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 11.04/11.20 congruence.
% 11.04/11.20 apply zenon_H34. apply refl_equal.
% 11.04/11.20 apply zenon_H77. apply sym_equal. exact zenon_H74.
% 11.04/11.20 (* end of lemma zenon_L202_ *)
% 11.04/11.20 assert (zenon_L203_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H7d zenon_H1e zenon_H46 zenon_H24 zenon_H57 zenon_H1a4 zenon_Hb9 zenon_H101.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ].
% 11.04/11.20 apply (zenon_L16_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ].
% 11.04/11.20 apply (zenon_L19_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ].
% 11.04/11.20 exact (zenon_H1a4 zenon_H65).
% 11.04/11.20 apply (zenon_L202_); trivial.
% 11.04/11.20 (* end of lemma zenon_L203_ *)
% 11.04/11.20 assert (zenon_L204_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H1ab zenon_Hba zenon_H1a6 zenon_H199 zenon_H10e zenon_H10d zenon_H1a9 zenon_H101.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ].
% 11.04/11.20 apply (zenon_L189_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ].
% 11.04/11.20 exact (zenon_H199 zenon_H6f).
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ].
% 11.04/11.20 apply (zenon_L76_); trivial.
% 11.04/11.20 apply (zenon_L192_); trivial.
% 11.04/11.20 (* end of lemma zenon_L204_ *)
% 11.04/11.20 assert (zenon_L205_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.04/11.20 do 0 intro. intros zenon_Hbc zenon_H19f zenon_H166 zenon_H46 zenon_Hec zenon_H122 zenon_H125 zenon_H127 zenon_H162 zenon_H84 zenon_H15e zenon_H155 zenon_H9e zenon_Ha5 zenon_Hf5 zenon_H109 zenon_H32 zenon_H1e zenon_H198 zenon_Hc3 zenon_H19c zenon_H2d zenon_H12d zenon_H19e zenon_H24 zenon_Ha1 zenon_He3 zenon_Hdd zenon_H1ab zenon_H1a6 zenon_H199 zenon_H10e zenon_H10d zenon_H1a9 zenon_H101.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.04/11.20 apply (zenon_L168_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.04/11.20 apply (zenon_L35_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.04/11.20 apply (zenon_L155_); trivial.
% 11.04/11.20 apply (zenon_L204_); trivial.
% 11.04/11.20 (* end of lemma zenon_L205_ *)
% 11.04/11.20 assert (zenon_L206_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_He3 zenon_H9b zenon_H109.
% 11.04/11.20 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ].
% 11.04/11.20 cut (((e2) = (e2)) = ((e0) = (e2))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H109.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_Ha6.
% 11.04/11.20 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.04/11.20 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H10a].
% 11.04/11.20 congruence.
% 11.04/11.20 cut (((op (e0) (e2)) = (e0)) = ((e2) = (e0))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H10a.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_He3.
% 11.04/11.20 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.20 cut (((op (e0) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Ha8].
% 11.04/11.20 congruence.
% 11.04/11.20 exact (zenon_Ha8 zenon_H9b).
% 11.04/11.20 apply zenon_H2b. apply refl_equal.
% 11.04/11.20 apply zenon_H45. apply refl_equal.
% 11.04/11.20 apply zenon_H45. apply refl_equal.
% 11.04/11.20 (* end of lemma zenon_L206_ *)
% 11.04/11.20 assert (zenon_L207_ : ((op (e2) (e2)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H66 zenon_Hc3 zenon_Hcc.
% 11.04/11.20 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hce ].
% 11.04/11.20 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e1) (e2)) = (op (e2) (e2)))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_Hcc.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_Hcd.
% 11.04/11.20 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 11.04/11.20 cut (((op (e2) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 11.04/11.20 congruence.
% 11.04/11.20 cut (((op (e2) (e2)) = (e1)) = ((op (e2) (e2)) = (op (e1) (e2)))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_Hcf.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H66.
% 11.04/11.20 cut (((e1) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1b8].
% 11.04/11.20 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 11.04/11.20 congruence.
% 11.04/11.20 apply zenon_Hce. apply refl_equal.
% 11.04/11.20 apply zenon_H1b8. apply sym_equal. exact zenon_Hc3.
% 11.04/11.20 apply zenon_Hce. apply refl_equal.
% 11.04/11.20 apply zenon_Hce. apply refl_equal.
% 11.04/11.20 (* end of lemma zenon_L207_ *)
% 11.04/11.20 assert (zenon_L208_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_Hf8 zenon_He3 zenon_Hdd zenon_Hcc zenon_Hc3 zenon_H9c zenon_Hf5 zenon_H1a4.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ].
% 11.04/11.20 apply (zenon_L155_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ].
% 11.04/11.20 apply (zenon_L207_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ].
% 11.04/11.20 apply (zenon_L163_); trivial.
% 11.04/11.20 exact (zenon_H1a4 zenon_H65).
% 11.04/11.20 (* end of lemma zenon_L208_ *)
% 11.04/11.20 assert (zenon_L209_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H1b9 zenon_H109 zenon_H10e zenon_H10c zenon_H103 zenon_Hec zenon_Hf8 zenon_He3 zenon_Hdd zenon_Hcc zenon_Hc3 zenon_Hf5 zenon_H1a4.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ].
% 11.04/11.20 apply (zenon_L206_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ].
% 11.04/11.20 apply (zenon_L76_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ].
% 11.04/11.20 apply (zenon_L143_); trivial.
% 11.04/11.20 apply (zenon_L208_); trivial.
% 11.04/11.20 (* end of lemma zenon_L209_ *)
% 11.04/11.20 assert (zenon_L210_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H117 zenon_H104 zenon_H101 zenon_H1a9 zenon_H199 zenon_H1a6 zenon_H1ab zenon_Ha1 zenon_H24 zenon_H19e zenon_H12d zenon_H2d zenon_H19c zenon_H198 zenon_H1e zenon_H32 zenon_Ha5 zenon_H9e zenon_H155 zenon_H15e zenon_H84 zenon_H162 zenon_H127 zenon_H125 zenon_H122 zenon_H46 zenon_H166 zenon_H19f zenon_Hbc zenon_H1b9 zenon_H109 zenon_H10e zenon_H103 zenon_Hec zenon_Hf8 zenon_He3 zenon_Hdd zenon_Hcc zenon_Hc3 zenon_Hf5 zenon_H1a4.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.04/11.20 apply (zenon_L74_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.04/11.20 apply (zenon_L149_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.04/11.20 apply (zenon_L205_); trivial.
% 11.04/11.20 apply (zenon_L209_); trivial.
% 11.04/11.20 (* end of lemma zenon_L210_ *)
% 11.04/11.20 assert (zenon_L211_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H19e zenon_H8d zenon_H12d zenon_H1e zenon_H46 zenon_Hec zenon_H122 zenon_H150 zenon_H125 zenon_H127 zenon_H19f.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.04/11.20 apply (zenon_L84_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.04/11.20 apply (zenon_L90_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.04/11.20 apply (zenon_L144_); trivial.
% 11.04/11.20 exact (zenon_H19f zenon_H114).
% 11.04/11.20 (* end of lemma zenon_L211_ *)
% 11.04/11.20 assert (zenon_L212_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_Hbc zenon_H125 zenon_H24 zenon_Ha1 zenon_Hdd zenon_H2d zenon_H69 zenon_H108 zenon_Hf8 zenon_H198 zenon_H32 zenon_H199 zenon_Hf7 zenon_H15e zenon_Hf5 zenon_H1a4 zenon_H14b zenon_H38 zenon_H81 zenon_He3 zenon_H149 zenon_Hc3 zenon_H19c zenon_H9e zenon_H1e zenon_H89 zenon_H132 zenon_H140 zenon_H16b zenon_H138 zenon_H150 zenon_H170 zenon_Ha5.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.04/11.20 apply (zenon_L113_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.04/11.20 apply (zenon_L35_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.04/11.20 apply (zenon_L155_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.04/11.20 apply (zenon_L169_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.04/11.20 apply (zenon_L187_); trivial.
% 11.04/11.20 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.04/11.20 apply (zenon_L167_); trivial.
% 11.04/11.20 apply (zenon_L199_); trivial.
% 11.04/11.20 (* end of lemma zenon_L212_ *)
% 11.04/11.20 assert (zenon_L213_ : ((op (e3) (e1)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H163 zenon_H141 zenon_H2d.
% 11.04/11.20 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 11.04/11.20 cut (((e1) = (e1)) = ((e0) = (e1))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H2d.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H2e.
% 11.04/11.20 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.20 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 11.04/11.20 congruence.
% 11.04/11.20 cut (((op (e3) (e1)) = (e0)) = ((e1) = (e0))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H30.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H163.
% 11.04/11.20 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.20 cut (((op (e3) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1bc].
% 11.04/11.20 congruence.
% 11.04/11.20 exact (zenon_H1bc zenon_H141).
% 11.04/11.20 apply zenon_H2b. apply refl_equal.
% 11.04/11.20 apply zenon_H2f. apply refl_equal.
% 11.04/11.20 apply zenon_H2f. apply refl_equal.
% 11.04/11.20 (* end of lemma zenon_L213_ *)
% 11.04/11.20 assert (zenon_L214_ : ((op (e3) (e1)) = (e0)) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (op (e3) (op (e3) (e3))))) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H163 zenon_H6e zenon_H1bd.
% 11.04/11.20 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ].
% 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e0) = (op (e3) (op (e3) (e3))))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H1bd.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H18a.
% 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1be].
% 11.04/11.20 congruence.
% 11.04/11.20 cut (((op (e3) (e1)) = (e0)) = ((op (e3) (op (e3) (e3))) = (e0))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H1be.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H163.
% 11.04/11.20 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.20 cut (((op (e3) (e1)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1b3].
% 11.04/11.20 congruence.
% 11.04/11.20 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ].
% 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e1)) = (op (e3) (op (e3) (e3))))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H1b3.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H18a.
% 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1b2].
% 11.04/11.20 congruence.
% 11.04/11.20 apply (zenon_L196_); trivial.
% 11.04/11.20 apply zenon_H18b. apply refl_equal.
% 11.04/11.20 apply zenon_H18b. apply refl_equal.
% 11.04/11.20 apply zenon_H2b. apply refl_equal.
% 11.04/11.20 apply zenon_H18b. apply refl_equal.
% 11.04/11.20 apply zenon_H18b. apply refl_equal.
% 11.04/11.20 (* end of lemma zenon_L214_ *)
% 11.04/11.20 assert (zenon_L215_ : ((op (e0) (e3)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e3)) = (e1)) -> False).
% 11.04/11.20 do 0 intro. intros zenon_H108 zenon_H163 zenon_H6e.
% 11.04/11.20 apply (zenon_notand_s _ _ ax27); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1bf ].
% 11.04/11.20 apply zenon_H1b5. apply sym_equal. exact zenon_H6e.
% 11.04/11.20 apply (zenon_notand_s _ _ zenon_H1bf); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1bd ].
% 11.04/11.20 elim (classic ((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [ zenon_intro zenon_H192 | zenon_intro zenon_H193 ].
% 11.04/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3))) = ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))).
% 11.04/11.20 intro zenon_D_pnotp.
% 11.04/11.20 apply zenon_H1c0.
% 11.04/11.20 rewrite <- zenon_D_pnotp.
% 11.04/11.20 exact zenon_H192.
% 11.04/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 11.04/11.21 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1c1].
% 11.04/11.21 congruence.
% 11.04/11.21 cut (((op (e0) (e3)) = (e2)) = ((op (op (e3) (op (e3) (e3))) (e3)) = (e2))).
% 11.04/11.21 intro zenon_D_pnotp.
% 11.04/11.21 apply zenon_H1c1.
% 11.04/11.21 rewrite <- zenon_D_pnotp.
% 11.04/11.21 exact zenon_H108.
% 11.04/11.21 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.04/11.21 cut (((op (e0) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 11.04/11.21 congruence.
% 11.04/11.21 elim (classic ((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [ zenon_intro zenon_H192 | zenon_intro zenon_H193 ].
% 11.04/11.21 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3))) = ((op (e0) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))).
% 11.04/11.21 intro zenon_D_pnotp.
% 11.04/11.21 apply zenon_H1c2.
% 11.04/11.21 rewrite <- zenon_D_pnotp.
% 11.04/11.21 exact zenon_H192.
% 11.04/11.21 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 11.04/11.21 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1c3].
% 11.04/11.21 congruence.
% 11.04/11.21 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.21 cut (((op (e3) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1be].
% 11.04/11.21 congruence.
% 11.04/11.21 cut (((op (e3) (e1)) = (e0)) = ((op (e3) (op (e3) (e3))) = (e0))).
% 11.04/11.21 intro zenon_D_pnotp.
% 11.04/11.21 apply zenon_H1be.
% 11.04/11.21 rewrite <- zenon_D_pnotp.
% 11.04/11.21 exact zenon_H163.
% 11.04/11.21 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.21 cut (((op (e3) (e1)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1b3].
% 11.04/11.21 congruence.
% 11.04/11.21 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ].
% 11.04/11.21 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e1)) = (op (e3) (op (e3) (e3))))).
% 11.04/11.21 intro zenon_D_pnotp.
% 11.04/11.21 apply zenon_H1b3.
% 11.04/11.21 rewrite <- zenon_D_pnotp.
% 11.04/11.21 exact zenon_H18a.
% 11.04/11.21 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 11.04/11.21 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1b2].
% 11.04/11.21 congruence.
% 11.04/11.21 apply (zenon_L196_); trivial.
% 11.04/11.21 apply zenon_H18b. apply refl_equal.
% 11.04/11.21 apply zenon_H18b. apply refl_equal.
% 11.04/11.21 apply zenon_H2b. apply refl_equal.
% 11.04/11.21 apply zenon_H3a. apply refl_equal.
% 11.04/11.21 apply zenon_H193. apply refl_equal.
% 11.04/11.21 apply zenon_H193. apply refl_equal.
% 11.04/11.21 apply zenon_H45. apply refl_equal.
% 11.04/11.21 apply zenon_H193. apply refl_equal.
% 11.04/11.21 apply zenon_H193. apply refl_equal.
% 11.04/11.21 apply (zenon_L214_); trivial.
% 11.04/11.21 (* end of lemma zenon_L215_ *)
% 11.04/11.21 assert (zenon_L216_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H15e zenon_H1e zenon_H155 zenon_H2d zenon_Hc3 zenon_H19c zenon_H108 zenon_H163.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.04/11.21 apply (zenon_L120_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.04/11.21 apply (zenon_L213_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.04/11.21 apply (zenon_L167_); trivial.
% 11.04/11.21 apply (zenon_L215_); trivial.
% 11.04/11.21 (* end of lemma zenon_L216_ *)
% 11.04/11.21 assert (zenon_L217_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H9e zenon_H149 zenon_H108 zenon_H81 zenon_H1e zenon_H38 zenon_H14b zenon_Ha5 zenon_H141 zenon_H1a4 zenon_Hf5 zenon_Hc3 zenon_Hcc zenon_Hdd zenon_He3 zenon_Hf8 zenon_H109 zenon_H68.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.04/11.21 apply (zenon_L185_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.04/11.21 apply (zenon_L162_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.04/11.21 apply (zenon_L208_); trivial.
% 11.04/11.21 apply (zenon_L129_); trivial.
% 11.04/11.21 (* end of lemma zenon_L217_ *)
% 11.04/11.21 assert (zenon_L218_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H166 zenon_H170 zenon_H138 zenon_H16b zenon_H140 zenon_H132 zenon_H89 zenon_Hf7 zenon_H199 zenon_H32 zenon_H198 zenon_H69 zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_H84 zenon_H15e zenon_H155 zenon_H109 zenon_Hf8 zenon_He3 zenon_Hdd zenon_Hcc zenon_Hf5 zenon_H1a4 zenon_Ha5 zenon_H14b zenon_H38 zenon_H1e zenon_H81 zenon_H108 zenon_H149 zenon_H9e zenon_Hc3 zenon_H19c zenon_H2d.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.04/11.21 apply (zenon_L212_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.04/11.21 apply (zenon_L216_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.04/11.21 apply (zenon_L157_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.04/11.21 apply (zenon_L120_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.04/11.21 apply (zenon_L217_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.04/11.21 apply (zenon_L167_); trivial.
% 11.04/11.21 apply (zenon_L165_); trivial.
% 11.04/11.21 (* end of lemma zenon_L218_ *)
% 11.04/11.21 assert (zenon_L219_ : (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H3c zenon_H199 zenon_H166 zenon_H170 zenon_H138 zenon_H16b zenon_H140 zenon_H132 zenon_Hf7 zenon_H32 zenon_H198 zenon_H69 zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_H84 zenon_H15e zenon_H155 zenon_H109 zenon_Hf8 zenon_Hdd zenon_Hcc zenon_Hf5 zenon_H1a4 zenon_Ha5 zenon_H14b zenon_H38 zenon_H1e zenon_H9e zenon_H19c zenon_H2d zenon_H1d zenon_Hd6 zenon_H81 zenon_He3 zenon_H108 zenon_H149.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.21 exact (zenon_H3c zenon_H37).
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.04/11.21 apply (zenon_L1_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.04/11.21 apply (zenon_L10_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.04/11.21 apply (zenon_L218_); trivial.
% 11.04/11.21 exact (zenon_H199 zenon_H6f).
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.21 apply (zenon_L183_); trivial.
% 11.04/11.21 apply (zenon_L184_); trivial.
% 11.04/11.21 (* end of lemma zenon_L219_ *)
% 11.04/11.21 assert (zenon_L220_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H180 zenon_H19f zenon_H127 zenon_H150 zenon_H122 zenon_Hec zenon_H12d zenon_H19e zenon_H70 zenon_Hb9 zenon_H1af zenon_H1ae zenon_H113 zenon_Hd9 zenon_H117 zenon_H104 zenon_H1a9 zenon_H1a6 zenon_H1ab zenon_H162 zenon_H1b9 zenon_H10e zenon_H7d zenon_H88 zenon_H172 zenon_H3c zenon_H199 zenon_H166 zenon_H170 zenon_H138 zenon_H16b zenon_H140 zenon_H132 zenon_Hf7 zenon_H32 zenon_H198 zenon_H69 zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_H84 zenon_H15e zenon_H155 zenon_H109 zenon_Hf8 zenon_Hdd zenon_Hcc zenon_Hf5 zenon_H1a4 zenon_Ha5 zenon_H14b zenon_H38 zenon_H1e zenon_H9e zenon_H19c zenon_H2d zenon_H1d zenon_Hd6 zenon_H81 zenon_He3 zenon_H149.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.04/11.21 apply (zenon_L151_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.04/11.21 apply (zenon_L156_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.21 exact (zenon_H3c zenon_H37).
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.04/11.21 exact (zenon_H3c zenon_H37).
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.04/11.21 apply (zenon_L9_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.04/11.21 apply (zenon_L10_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.04/11.21 apply (zenon_L168_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.04/11.21 apply (zenon_L35_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.04/11.21 apply (zenon_L155_); trivial.
% 11.04/11.21 apply (zenon_L201_); trivial.
% 11.04/11.21 exact (zenon_H199 zenon_H6f).
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.04/11.21 apply (zenon_L16_); trivial.
% 11.04/11.21 apply (zenon_L116_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.21 apply (zenon_L183_); trivial.
% 11.04/11.21 apply (zenon_L203_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.21 exact (zenon_H3c zenon_H37).
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.04/11.21 exact (zenon_H3c zenon_H37).
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.04/11.21 apply (zenon_L9_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.04/11.21 apply (zenon_L10_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.04/11.21 apply (zenon_L109_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.04/11.21 apply (zenon_L35_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.04/11.21 apply (zenon_L155_); trivial.
% 11.04/11.21 apply (zenon_L201_); trivial.
% 11.04/11.21 exact (zenon_H199 zenon_H6f).
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.04/11.21 apply (zenon_L16_); trivial.
% 11.04/11.21 apply (zenon_L116_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.21 apply (zenon_L183_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.04/11.21 exact (zenon_H3c zenon_H37).
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.04/11.21 apply (zenon_L9_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.04/11.21 apply (zenon_L10_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.04/11.21 apply (zenon_L210_); trivial.
% 11.04/11.21 exact (zenon_H199 zenon_H6f).
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.04/11.21 apply (zenon_L16_); trivial.
% 11.04/11.21 apply (zenon_L116_); trivial.
% 11.04/11.21 apply (zenon_L211_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.04/11.21 apply (zenon_L206_); trivial.
% 11.04/11.21 apply (zenon_L219_); trivial.
% 11.04/11.21 (* end of lemma zenon_L220_ *)
% 11.04/11.21 assert (zenon_L221_ : ((op (e3) (e3)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H68 zenon_Hba zenon_H75.
% 11.04/11.21 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ].
% 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e2) (e3)) = (op (e3) (e3)))).
% 11.04/11.21 intro zenon_D_pnotp.
% 11.04/11.21 apply zenon_H75.
% 11.04/11.21 rewrite <- zenon_D_pnotp.
% 11.04/11.21 exact zenon_H6a.
% 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.21 cut (((op (e3) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 11.04/11.21 congruence.
% 11.04/11.21 cut (((op (e3) (e3)) = (e0)) = ((op (e3) (e3)) = (op (e2) (e3)))).
% 11.04/11.21 intro zenon_D_pnotp.
% 11.04/11.21 apply zenon_H76.
% 11.04/11.21 rewrite <- zenon_D_pnotp.
% 11.04/11.21 exact zenon_H68.
% 11.04/11.21 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hbb].
% 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.21 congruence.
% 11.04/11.21 apply zenon_H6b. apply refl_equal.
% 11.04/11.21 apply zenon_Hbb. apply sym_equal. exact zenon_Hba.
% 11.04/11.21 apply zenon_H6b. apply refl_equal.
% 11.04/11.21 apply zenon_H6b. apply refl_equal.
% 11.04/11.21 (* end of lemma zenon_L221_ *)
% 11.04/11.21 assert (zenon_L222_ : (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H149 zenon_H81 zenon_Hd6 zenon_H1d zenon_H2d zenon_H19c zenon_H9e zenon_H1e zenon_H38 zenon_H14b zenon_Ha5 zenon_H1a4 zenon_Hf5 zenon_Hcc zenon_Hdd zenon_Hf8 zenon_H109 zenon_H155 zenon_H15e zenon_Hbc zenon_H125 zenon_Ha1 zenon_H69 zenon_H198 zenon_H32 zenon_Hf7 zenon_H132 zenon_H140 zenon_H16b zenon_H138 zenon_H170 zenon_H166 zenon_H199 zenon_H3c zenon_H172 zenon_H88 zenon_H7d zenon_H10e zenon_H1b9 zenon_H1ab zenon_H1a6 zenon_H1a9 zenon_H104 zenon_H117 zenon_Hd9 zenon_H113 zenon_H1ae zenon_H1af zenon_Hb9 zenon_H70 zenon_H19e zenon_H12d zenon_Hec zenon_H122 zenon_H127 zenon_H19f zenon_H180 zenon_H24 zenon_H162 zenon_He3 zenon_H84 zenon_Hba zenon_H75.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.04/11.21 apply (zenon_L220_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.04/11.21 apply (zenon_L128_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.04/11.21 apply (zenon_L157_); trivial.
% 11.04/11.21 apply (zenon_L221_); trivial.
% 11.04/11.21 (* end of lemma zenon_L222_ *)
% 11.04/11.21 assert (zenon_L223_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H1c4 zenon_Hc5 zenon_H3d zenon_H89 zenon_H132 zenon_H65 zenon_Hf5 zenon_H1c5.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1c6 ].
% 11.04/11.21 apply (zenon_L43_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H133 | zenon_intro zenon_H1c7 ].
% 11.04/11.21 apply (zenon_L91_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H153 | zenon_intro zenon_H73 ].
% 11.04/11.21 apply (zenon_L119_); trivial.
% 11.04/11.21 exact (zenon_H1c5 zenon_H73).
% 11.04/11.21 (* end of lemma zenon_L223_ *)
% 11.04/11.21 assert (zenon_L224_ : ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e2))) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H1f zenon_H57 zenon_Ha5.
% 11.04/11.21 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ].
% 11.04/11.21 cut (((e2) = (e2)) = ((e1) = (e2))).
% 11.04/11.21 intro zenon_D_pnotp.
% 11.04/11.21 apply zenon_Ha5.
% 11.04/11.21 rewrite <- zenon_D_pnotp.
% 11.04/11.21 exact zenon_Ha6.
% 11.04/11.21 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.04/11.21 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 11.04/11.21 congruence.
% 11.04/11.21 cut (((op (e1) (e0)) = (e1)) = ((e2) = (e1))).
% 11.04/11.21 intro zenon_D_pnotp.
% 11.04/11.21 apply zenon_Ha7.
% 11.04/11.21 rewrite <- zenon_D_pnotp.
% 11.04/11.21 exact zenon_H1f.
% 11.04/11.21 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.21 cut (((op (e1) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1c8].
% 11.04/11.21 congruence.
% 11.04/11.21 exact (zenon_H1c8 zenon_H57).
% 11.04/11.21 apply zenon_H2f. apply refl_equal.
% 11.04/11.21 apply zenon_H45. apply refl_equal.
% 11.04/11.21 apply zenon_H45. apply refl_equal.
% 11.04/11.21 (* end of lemma zenon_L224_ *)
% 11.04/11.21 assert (zenon_L225_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H1a7 zenon_Hd1 zenon_H81.
% 11.04/11.21 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 11.04/11.21 cut (((e3) = (e3)) = ((e0) = (e3))).
% 11.04/11.21 intro zenon_D_pnotp.
% 11.04/11.21 apply zenon_H81.
% 11.04/11.21 rewrite <- zenon_D_pnotp.
% 11.04/11.21 exact zenon_H39.
% 11.04/11.21 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.21 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 11.04/11.21 congruence.
% 11.04/11.21 cut (((op (e1) (e3)) = (e0)) = ((e3) = (e0))).
% 11.04/11.21 intro zenon_D_pnotp.
% 11.04/11.21 apply zenon_H82.
% 11.04/11.21 rewrite <- zenon_D_pnotp.
% 11.04/11.21 exact zenon_H1a7.
% 11.04/11.21 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.21 cut (((op (e1) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 11.04/11.21 congruence.
% 11.04/11.21 exact (zenon_Hd2 zenon_Hd1).
% 11.04/11.21 apply zenon_H2b. apply refl_equal.
% 11.04/11.21 apply zenon_H3a. apply refl_equal.
% 11.04/11.21 apply zenon_H3a. apply refl_equal.
% 11.04/11.21 (* end of lemma zenon_L225_ *)
% 11.04/11.21 assert (zenon_L226_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.04/11.21 do 0 intro. intros zenon_Hd9 zenon_H3c zenon_H1c5 zenon_Hf5 zenon_H65 zenon_H132 zenon_H89 zenon_Hc5 zenon_H1c4 zenon_H1e zenon_H46 zenon_H150 zenon_H81.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.04/11.21 exact (zenon_H3c zenon_H37).
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.04/11.21 apply (zenon_L223_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.04/11.21 apply (zenon_L16_); trivial.
% 11.04/11.21 apply (zenon_L116_); trivial.
% 11.04/11.21 (* end of lemma zenon_L226_ *)
% 11.04/11.21 assert (zenon_L227_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.04/11.21 do 0 intro. intros zenon_Hb9 zenon_H108 zenon_H114.
% 11.04/11.21 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 11.04/11.21 intro zenon_D_pnotp.
% 11.04/11.21 apply zenon_Hb9.
% 11.04/11.21 rewrite <- zenon_D_pnotp.
% 11.04/11.21 exact zenon_H108.
% 11.04/11.21 cut (((e2) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H115].
% 11.04/11.21 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 11.04/11.21 congruence.
% 11.04/11.21 apply zenon_H34. apply refl_equal.
% 11.04/11.21 apply zenon_H115. apply sym_equal. exact zenon_H114.
% 11.04/11.21 (* end of lemma zenon_L227_ *)
% 11.04/11.21 assert (zenon_L228_ : ((op (e3) (e3)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H68 zenon_H1a7 zenon_H70.
% 11.04/11.21 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ].
% 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e1) (e3)) = (op (e3) (e3)))).
% 11.04/11.21 intro zenon_D_pnotp.
% 11.04/11.21 apply zenon_H70.
% 11.04/11.21 rewrite <- zenon_D_pnotp.
% 11.04/11.21 exact zenon_H6a.
% 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.21 cut (((op (e3) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 11.04/11.21 congruence.
% 11.04/11.21 cut (((op (e3) (e3)) = (e0)) = ((op (e3) (e3)) = (op (e1) (e3)))).
% 11.04/11.21 intro zenon_D_pnotp.
% 11.04/11.21 apply zenon_H71.
% 11.04/11.21 rewrite <- zenon_D_pnotp.
% 11.04/11.21 exact zenon_H68.
% 11.04/11.21 cut (((e0) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1c9].
% 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.21 congruence.
% 11.04/11.21 apply zenon_H6b. apply refl_equal.
% 11.04/11.21 apply zenon_H1c9. apply sym_equal. exact zenon_H1a7.
% 11.04/11.21 apply zenon_H6b. apply refl_equal.
% 11.04/11.21 apply zenon_H6b. apply refl_equal.
% 11.04/11.21 (* end of lemma zenon_L228_ *)
% 11.04/11.21 assert (zenon_L229_ : ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H7c zenon_H9c zenon_H1ca.
% 11.04/11.21 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ].
% 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e2)) = (op (e3) (e3)))).
% 11.04/11.21 intro zenon_D_pnotp.
% 11.04/11.21 apply zenon_H1ca.
% 11.04/11.21 rewrite <- zenon_D_pnotp.
% 11.04/11.21 exact zenon_H6a.
% 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1cb].
% 11.04/11.21 congruence.
% 11.04/11.21 cut (((op (e3) (e3)) = (e2)) = ((op (e3) (e3)) = (op (e3) (e2)))).
% 11.04/11.21 intro zenon_D_pnotp.
% 11.04/11.21 apply zenon_H1cb.
% 11.04/11.21 rewrite <- zenon_D_pnotp.
% 11.04/11.21 exact zenon_H7c.
% 11.04/11.21 cut (((e2) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9d].
% 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.21 congruence.
% 11.04/11.21 apply zenon_H6b. apply refl_equal.
% 11.04/11.21 apply zenon_H9d. apply sym_equal. exact zenon_H9c.
% 11.04/11.21 apply zenon_H6b. apply refl_equal.
% 11.04/11.21 apply zenon_H6b. apply refl_equal.
% 11.04/11.21 (* end of lemma zenon_L229_ *)
% 11.04/11.21 assert (zenon_L230_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H78 zenon_H70 zenon_H1a7 zenon_H16b zenon_H141 zenon_H1ca zenon_H9c zenon_H1c5.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H68 | zenon_intro zenon_H7a ].
% 11.04/11.21 apply (zenon_L228_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H6e | zenon_intro zenon_H7b ].
% 11.04/11.21 apply (zenon_L177_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7c | zenon_intro zenon_H73 ].
% 11.04/11.21 apply (zenon_L229_); trivial.
% 11.04/11.21 exact (zenon_H1c5 zenon_H73).
% 11.04/11.21 (* end of lemma zenon_L230_ *)
% 11.04/11.21 assert (zenon_L231_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H1a6 zenon_H10c zenon_H114.
% 11.04/11.21 cut (((op (e1) (e3)) = (e2)) = ((op (e1) (e3)) = (op (e2) (e3)))).
% 11.04/11.21 intro zenon_D_pnotp.
% 11.04/11.21 apply zenon_H1a6.
% 11.04/11.21 rewrite <- zenon_D_pnotp.
% 11.04/11.21 exact zenon_H10c.
% 11.04/11.21 cut (((e2) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H115].
% 11.04/11.21 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 11.04/11.21 congruence.
% 11.04/11.21 apply zenon_H110. apply refl_equal.
% 11.04/11.21 apply zenon_H115. apply sym_equal. exact zenon_H114.
% 11.04/11.21 (* end of lemma zenon_L231_ *)
% 11.04/11.21 assert (zenon_L232_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H1ab zenon_H1c5 zenon_H9c zenon_H1ca zenon_H141 zenon_H16b zenon_H70 zenon_H78 zenon_H199 zenon_H114 zenon_H1a6 zenon_H1a9 zenon_H101.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ].
% 11.04/11.21 apply (zenon_L230_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ].
% 11.04/11.21 exact (zenon_H199 zenon_H6f).
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ].
% 11.04/11.21 apply (zenon_L231_); trivial.
% 11.04/11.21 apply (zenon_L192_); trivial.
% 11.04/11.21 (* end of lemma zenon_L232_ *)
% 11.04/11.21 assert (zenon_L233_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H1ae zenon_H1af zenon_H18e zenon_Hb9 zenon_H1ab zenon_H1c5 zenon_H9c zenon_H1ca zenon_H141 zenon_H16b zenon_H70 zenon_H78 zenon_H199 zenon_H114 zenon_H1a6 zenon_H1a9.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ].
% 11.04/11.21 exact (zenon_H1af zenon_H31).
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ].
% 11.04/11.21 apply (zenon_L182_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ].
% 11.04/11.21 apply (zenon_L227_); trivial.
% 11.04/11.21 apply (zenon_L232_); trivial.
% 11.04/11.21 (* end of lemma zenon_L233_ *)
% 11.04/11.21 assert (zenon_L234_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H9e zenon_H149 zenon_Hc4 zenon_Ha5 zenon_H1a9 zenon_H1a6 zenon_H114 zenon_H199 zenon_H78 zenon_H70 zenon_H16b zenon_H141 zenon_H1ca zenon_H1c5 zenon_H1ab zenon_Hb9 zenon_H18e zenon_H1af zenon_H1ae zenon_H109 zenon_H68.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.04/11.21 apply (zenon_L110_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.04/11.21 apply (zenon_L162_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.04/11.21 apply (zenon_L233_); trivial.
% 11.04/11.21 apply (zenon_L129_); trivial.
% 11.04/11.21 (* end of lemma zenon_L234_ *)
% 11.04/11.21 assert (zenon_L235_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e0)) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H198 zenon_H1e zenon_H32 zenon_H109 zenon_H1ae zenon_H1af zenon_Hb9 zenon_H1ab zenon_H1c5 zenon_H1ca zenon_H141 zenon_H16b zenon_H70 zenon_H78 zenon_H199 zenon_H114 zenon_H1a6 zenon_H1a9 zenon_Ha5 zenon_Hc4 zenon_H149 zenon_H9e zenon_H2d zenon_H68.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ].
% 11.04/11.21 apply (zenon_L158_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ].
% 11.04/11.21 exact (zenon_H199 zenon_H6f).
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ].
% 11.04/11.21 apply (zenon_L234_); trivial.
% 11.04/11.21 apply (zenon_L165_); trivial.
% 11.04/11.21 (* end of lemma zenon_L235_ *)
% 11.04/11.21 assert (zenon_L236_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H166 zenon_H81 zenon_H46 zenon_H1c4 zenon_Hc5 zenon_H89 zenon_H132 zenon_H65 zenon_Hf5 zenon_H3c zenon_Hd9 zenon_He3 zenon_H84 zenon_H198 zenon_H1e zenon_H32 zenon_H109 zenon_H1ae zenon_H1af zenon_Hb9 zenon_H1ab zenon_H1c5 zenon_H1ca zenon_H141 zenon_H16b zenon_H70 zenon_H78 zenon_H199 zenon_H114 zenon_H1a6 zenon_H1a9 zenon_Ha5 zenon_Hc4 zenon_H149 zenon_H9e zenon_H2d.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.04/11.21 apply (zenon_L226_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.04/11.21 apply (zenon_L213_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.04/11.21 apply (zenon_L157_); trivial.
% 11.04/11.21 apply (zenon_L235_); trivial.
% 11.04/11.21 (* end of lemma zenon_L236_ *)
% 11.04/11.21 assert (zenon_L237_ : ((op (e3) (e3)) = (e1)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H6e zenon_H186 zenon_H69.
% 11.04/11.21 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ].
% 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e0) (e3)) = (op (e3) (e3)))).
% 11.04/11.21 intro zenon_D_pnotp.
% 11.04/11.21 apply zenon_H69.
% 11.04/11.21 rewrite <- zenon_D_pnotp.
% 11.04/11.21 exact zenon_H6a.
% 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.21 cut (((op (e3) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 11.04/11.21 congruence.
% 11.04/11.21 cut (((op (e3) (e3)) = (e1)) = ((op (e3) (e3)) = (op (e0) (e3)))).
% 11.04/11.21 intro zenon_D_pnotp.
% 11.04/11.21 apply zenon_H6c.
% 11.04/11.21 rewrite <- zenon_D_pnotp.
% 11.04/11.21 exact zenon_H6e.
% 11.04/11.21 cut (((e1) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H187].
% 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.21 congruence.
% 11.04/11.21 apply zenon_H6b. apply refl_equal.
% 11.04/11.21 apply zenon_H187. apply sym_equal. exact zenon_H186.
% 11.04/11.21 apply zenon_H6b. apply refl_equal.
% 11.04/11.21 apply zenon_H6b. apply refl_equal.
% 11.04/11.21 (* end of lemma zenon_L237_ *)
% 11.04/11.21 assert (zenon_L238_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H1ab zenon_Hba zenon_H199 zenon_H114 zenon_H1a6 zenon_H1a9 zenon_H101.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ].
% 11.04/11.21 apply (zenon_L189_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ].
% 11.04/11.21 exact (zenon_H199 zenon_H6f).
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ].
% 11.04/11.21 apply (zenon_L231_); trivial.
% 11.04/11.21 apply (zenon_L192_); trivial.
% 11.04/11.21 (* end of lemma zenon_L238_ *)
% 11.04/11.21 assert (zenon_L239_ : ((op (e3) (e0)) = (e1)) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H156 zenon_Hc4 zenon_H38.
% 11.04/11.21 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 11.04/11.21 cut (((e3) = (e3)) = ((e1) = (e3))).
% 11.04/11.21 intro zenon_D_pnotp.
% 11.04/11.21 apply zenon_H38.
% 11.04/11.21 rewrite <- zenon_D_pnotp.
% 11.04/11.21 exact zenon_H39.
% 11.04/11.21 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.21 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3b].
% 11.04/11.21 congruence.
% 11.04/11.21 cut (((op (e3) (e0)) = (e1)) = ((e3) = (e1))).
% 11.04/11.21 intro zenon_D_pnotp.
% 11.04/11.21 apply zenon_H3b.
% 11.04/11.21 rewrite <- zenon_D_pnotp.
% 11.04/11.21 exact zenon_H156.
% 11.04/11.21 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.21 cut (((op (e3) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H14f].
% 11.04/11.21 congruence.
% 11.04/11.21 exact (zenon_H14f zenon_Hc4).
% 11.04/11.21 apply zenon_H2f. apply refl_equal.
% 11.04/11.21 apply zenon_H3a. apply refl_equal.
% 11.04/11.21 apply zenon_H3a. apply refl_equal.
% 11.04/11.21 (* end of lemma zenon_L239_ *)
% 11.04/11.21 assert (zenon_L240_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e0)) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H15e zenon_H38 zenon_H9e zenon_H149 zenon_Hc4 zenon_Ha5 zenon_H1a9 zenon_H1a6 zenon_H114 zenon_H199 zenon_H78 zenon_H70 zenon_H16b zenon_H1ca zenon_H1c5 zenon_H1ab zenon_Hb9 zenon_H1af zenon_H1ae zenon_H109 zenon_H32 zenon_H1e zenon_H198 zenon_Hc3 zenon_H19c zenon_H2d zenon_H68.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.04/11.21 apply (zenon_L239_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.04/11.21 apply (zenon_L235_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.04/11.21 apply (zenon_L167_); trivial.
% 11.04/11.21 apply (zenon_L165_); trivial.
% 11.04/11.21 (* end of lemma zenon_L240_ *)
% 11.04/11.21 assert (zenon_L241_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> False).
% 11.04/11.21 do 0 intro. intros zenon_Hd3 zenon_H1cc zenon_Hcc zenon_H155 zenon_Hd9 zenon_H3c zenon_Hf5 zenon_H65 zenon_H132 zenon_H89 zenon_Hc5 zenon_H1c4 zenon_H46 zenon_H81 zenon_H166 zenon_H69 zenon_H1cd zenon_He3 zenon_H84 zenon_H15e zenon_H38 zenon_H9e zenon_H149 zenon_Hc4 zenon_Ha5 zenon_H1a9 zenon_H1a6 zenon_H114 zenon_H199 zenon_H78 zenon_H70 zenon_H16b zenon_H1ca zenon_H1c5 zenon_H1ab zenon_Hb9 zenon_H1af zenon_H1ae zenon_H109 zenon_H32 zenon_H1e zenon_H198 zenon_Hc3 zenon_H19c zenon_H2d.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.04/11.21 apply (zenon_L43_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.04/11.21 exact (zenon_H1cc zenon_Hca).
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.04/11.21 apply (zenon_L45_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.04/11.21 apply (zenon_L116_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H31 | zenon_intro zenon_H1ce ].
% 11.04/11.21 exact (zenon_H1af zenon_H31).
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1cf ].
% 11.04/11.21 apply (zenon_L225_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hba | zenon_intro zenon_H68 ].
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.04/11.21 apply (zenon_L120_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.04/11.21 apply (zenon_L236_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.04/11.21 apply (zenon_L167_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ].
% 11.04/11.21 exact (zenon_H1af zenon_H31).
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ].
% 11.04/11.21 apply (zenon_L237_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ].
% 11.04/11.21 apply (zenon_L215_); trivial.
% 11.04/11.21 apply (zenon_L238_); trivial.
% 11.04/11.21 apply (zenon_L240_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.04/11.21 apply (zenon_L157_); trivial.
% 11.04/11.21 apply (zenon_L240_); trivial.
% 11.04/11.21 (* end of lemma zenon_L241_ *)
% 11.04/11.21 assert (zenon_L242_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e3)) -> (~((e0) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.04/11.21 do 0 intro. intros zenon_Hbc zenon_H125 zenon_H150 zenon_H24 zenon_Ha1 zenon_H65 zenon_H81 zenon_H1ab zenon_H199 zenon_H114 zenon_H1a6 zenon_H1a9 zenon_H101.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.04/11.21 apply (zenon_L113_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.04/11.21 apply (zenon_L35_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.04/11.21 apply (zenon_L53_); trivial.
% 11.04/11.21 apply (zenon_L238_); trivial.
% 11.04/11.21 (* end of lemma zenon_L242_ *)
% 11.04/11.21 assert (zenon_L243_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H180 zenon_Ha5 zenon_H1a9 zenon_H1a6 zenon_H199 zenon_H1ab zenon_H81 zenon_H65 zenon_Ha1 zenon_H24 zenon_H150 zenon_H125 zenon_Hbc zenon_Hdd zenon_Hd9 zenon_H3c zenon_H1c5 zenon_Hf5 zenon_H132 zenon_Hc5 zenon_H1c4 zenon_H1e zenon_H14b zenon_H109 zenon_He3 zenon_Hb9 zenon_H114.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.04/11.21 apply (zenon_L151_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.21 exact (zenon_H3c zenon_H37).
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.21 apply (zenon_L226_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.21 apply (zenon_L51_); trivial.
% 11.04/11.21 apply (zenon_L242_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.04/11.21 apply (zenon_L206_); trivial.
% 11.04/11.21 apply (zenon_L227_); trivial.
% 11.04/11.21 (* end of lemma zenon_L243_ *)
% 11.04/11.21 assert (zenon_L244_ : ((op (e3) (e1)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H163 zenon_H133 zenon_H81.
% 11.04/11.21 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 11.04/11.21 cut (((e3) = (e3)) = ((e0) = (e3))).
% 11.04/11.21 intro zenon_D_pnotp.
% 11.04/11.21 apply zenon_H81.
% 11.04/11.21 rewrite <- zenon_D_pnotp.
% 11.04/11.21 exact zenon_H39.
% 11.04/11.21 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.21 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 11.04/11.21 congruence.
% 11.04/11.21 cut (((op (e3) (e1)) = (e0)) = ((e3) = (e0))).
% 11.04/11.21 intro zenon_D_pnotp.
% 11.04/11.21 apply zenon_H82.
% 11.04/11.21 rewrite <- zenon_D_pnotp.
% 11.04/11.21 exact zenon_H163.
% 11.04/11.21 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.21 cut (((op (e3) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H145].
% 11.04/11.21 congruence.
% 11.04/11.21 exact (zenon_H145 zenon_H133).
% 11.04/11.21 apply zenon_H2b. apply refl_equal.
% 11.04/11.21 apply zenon_H3a. apply refl_equal.
% 11.04/11.21 apply zenon_H3a. apply refl_equal.
% 11.04/11.21 (* end of lemma zenon_L244_ *)
% 11.04/11.21 assert (zenon_L245_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H1ab zenon_H70 zenon_H68 zenon_H199 zenon_H114 zenon_H1a6 zenon_H1a9 zenon_H101.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ].
% 11.04/11.21 apply (zenon_L228_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ].
% 11.04/11.21 exact (zenon_H199 zenon_H6f).
% 11.04/11.21 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ].
% 11.04/11.21 apply (zenon_L231_); trivial.
% 11.04/11.21 apply (zenon_L192_); trivial.
% 11.04/11.21 (* end of lemma zenon_L245_ *)
% 11.04/11.21 assert (zenon_L246_ : ((op (e2) (e2)) = (e3)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H65 zenon_H4c zenon_Hec.
% 11.04/11.21 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hce ].
% 11.04/11.21 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e2) (e0)) = (op (e2) (e2)))).
% 11.04/11.21 intro zenon_D_pnotp.
% 11.04/11.21 apply zenon_Hec.
% 11.04/11.21 rewrite <- zenon_D_pnotp.
% 11.04/11.21 exact zenon_Hcd.
% 11.04/11.21 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 11.04/11.21 cut (((op (e2) (e2)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1d0].
% 11.04/11.21 congruence.
% 11.04/11.21 cut (((op (e2) (e2)) = (e3)) = ((op (e2) (e2)) = (op (e2) (e0)))).
% 11.04/11.21 intro zenon_D_pnotp.
% 11.04/11.21 apply zenon_H1d0.
% 11.04/11.21 rewrite <- zenon_D_pnotp.
% 11.04/11.21 exact zenon_H65.
% 11.04/11.21 cut (((e3) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1d1].
% 11.04/11.21 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 11.04/11.21 congruence.
% 11.04/11.21 apply zenon_Hce. apply refl_equal.
% 11.04/11.21 apply zenon_H1d1. apply sym_equal. exact zenon_H4c.
% 11.04/11.21 apply zenon_Hce. apply refl_equal.
% 11.04/11.21 apply zenon_Hce. apply refl_equal.
% 11.04/11.21 (* end of lemma zenon_L246_ *)
% 11.04/11.21 assert (zenon_L247_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.04/11.21 do 0 intro. intros zenon_Hd3 zenon_Hc5 zenon_Hc4 zenon_H1cc zenon_Hcc zenon_H65 zenon_H1a9 zenon_H101.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.04/11.21 apply (zenon_L43_); trivial.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.04/11.21 exact (zenon_H1cc zenon_Hca).
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.04/11.21 apply (zenon_L45_); trivial.
% 11.04/11.21 apply (zenon_L192_); trivial.
% 11.04/11.21 (* end of lemma zenon_L247_ *)
% 11.04/11.21 assert (zenon_L248_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.04/11.21 do 0 intro. intros zenon_H1a6 zenon_H114 zenon_H199 zenon_H70 zenon_H1ab zenon_H84 zenon_He3 zenon_H81 zenon_H180 zenon_Ha5 zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_Hdd zenon_Hd9 zenon_H3c zenon_H1c5 zenon_Hf5 zenon_H132 zenon_H1c4 zenon_H1e zenon_H14b zenon_H109 zenon_Hb9 zenon_H166 zenon_H57 zenon_H13b zenon_Hec zenon_Hd3 zenon_Hc5 zenon_H1cc zenon_Hcc zenon_H65 zenon_H1a9 zenon_H101.
% 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.04/11.22 exact (zenon_H3c zenon_H37).
% 11.04/11.22 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.04/11.22 apply (zenon_L223_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.04/11.22 exact (zenon_H1cc zenon_Hca).
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.04/11.22 apply (zenon_L19_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.04/11.22 apply (zenon_L243_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.04/11.22 apply (zenon_L244_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.04/11.22 apply (zenon_L157_); trivial.
% 11.04/11.22 apply (zenon_L245_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.04/11.22 apply (zenon_L246_); trivial.
% 11.04/11.22 apply (zenon_L247_); trivial.
% 11.04/11.22 (* end of lemma zenon_L248_ *)
% 11.04/11.22 assert (zenon_L249_ : (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H155 zenon_H46 zenon_H69 zenon_H1cd zenon_H15e zenon_H38 zenon_H9e zenon_H149 zenon_H78 zenon_H16b zenon_H1ca zenon_H1af zenon_H1ae zenon_H32 zenon_H198 zenon_H19c zenon_H2d zenon_Hd6 zenon_H1a6 zenon_H114 zenon_H199 zenon_H70 zenon_H1ab zenon_H84 zenon_He3 zenon_H81 zenon_H180 zenon_Ha5 zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_Hdd zenon_Hd9 zenon_H3c zenon_H1c5 zenon_Hf5 zenon_H132 zenon_H1c4 zenon_H1e zenon_H14b zenon_H109 zenon_Hb9 zenon_H166 zenon_H57 zenon_H13b zenon_Hec zenon_Hd3 zenon_Hc5 zenon_H1cc zenon_Hcc zenon_H65 zenon_H1a9.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.22 exact (zenon_H3c zenon_H37).
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.22 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.04/11.22 exact (zenon_H3c zenon_H37).
% 11.04/11.22 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.04/11.22 apply (zenon_L223_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.04/11.22 apply (zenon_L16_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.04/11.22 apply (zenon_L224_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.04/11.22 apply (zenon_L10_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.04/11.22 apply (zenon_L241_); trivial.
% 11.04/11.22 exact (zenon_H199 zenon_H6f).
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.22 apply (zenon_L183_); trivial.
% 11.04/11.22 apply (zenon_L248_); trivial.
% 11.04/11.22 (* end of lemma zenon_L249_ *)
% 11.04/11.22 assert (zenon_L250_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e3)) -> (~((e0) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_Hbc zenon_H125 zenon_H150 zenon_H24 zenon_Ha1 zenon_H65 zenon_H81 zenon_H1ab zenon_H1a6 zenon_H199 zenon_H10e zenon_H10d zenon_H1a9 zenon_H101.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.04/11.22 apply (zenon_L113_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.04/11.22 apply (zenon_L35_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.04/11.22 apply (zenon_L53_); trivial.
% 11.04/11.22 apply (zenon_L204_); trivial.
% 11.04/11.22 (* end of lemma zenon_L250_ *)
% 11.04/11.22 assert (zenon_L251_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H166 zenon_H10d zenon_H10e zenon_H65 zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_H81 zenon_H133 zenon_He3 zenon_H84 zenon_H1ab zenon_H70 zenon_H199 zenon_H114 zenon_H1a6 zenon_H1a9 zenon_H101.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.04/11.22 apply (zenon_L250_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.04/11.22 apply (zenon_L244_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.04/11.22 apply (zenon_L157_); trivial.
% 11.04/11.22 apply (zenon_L245_); trivial.
% 11.04/11.22 (* end of lemma zenon_L251_ *)
% 11.04/11.22 assert (zenon_L252_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H158 zenon_H8d zenon_H9c.
% 11.04/11.22 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (e0)) = (op (e3) (e2)))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H158.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H8d.
% 11.04/11.22 cut (((e2) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9d].
% 11.04/11.22 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 11.04/11.22 congruence.
% 11.04/11.22 apply zenon_Hc7. apply refl_equal.
% 11.04/11.22 apply zenon_H9d. apply sym_equal. exact zenon_H9c.
% 11.04/11.22 (* end of lemma zenon_L252_ *)
% 11.04/11.22 assert (zenon_L253_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H22 zenon_H46 zenon_H11c.
% 11.04/11.22 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (e1)) = (op (e1) (e1)))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H22.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H46.
% 11.04/11.22 cut (((e2) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1d2].
% 11.04/11.22 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 11.04/11.22 congruence.
% 11.04/11.22 apply zenon_H26. apply refl_equal.
% 11.04/11.22 apply zenon_H1d2. apply sym_equal. exact zenon_H11c.
% 11.04/11.22 (* end of lemma zenon_L253_ *)
% 11.04/11.22 assert (zenon_L254_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H13b zenon_H1c5 zenon_Hf5 zenon_H132 zenon_H3d zenon_Hc5 zenon_H1c4 zenon_H1cc zenon_H143 zenon_H166 zenon_H10d zenon_H10e zenon_H65 zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_H81 zenon_He3 zenon_H84 zenon_H1ab zenon_H70 zenon_H199 zenon_H114 zenon_H1a6 zenon_H1a9 zenon_H101.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.04/11.22 apply (zenon_L223_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.04/11.22 exact (zenon_H1cc zenon_Hca).
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.04/11.22 apply (zenon_L99_); trivial.
% 11.04/11.22 apply (zenon_L251_); trivial.
% 11.04/11.22 (* end of lemma zenon_L254_ *)
% 11.04/11.22 assert (zenon_L255_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H117 zenon_H8d zenon_H158 zenon_H149 zenon_H109 zenon_H1b9 zenon_H46 zenon_H22 zenon_H101 zenon_H1a9 zenon_H199 zenon_H70 zenon_H1ab zenon_H84 zenon_He3 zenon_H81 zenon_Hbc zenon_H125 zenon_H24 zenon_Ha1 zenon_H65 zenon_H10e zenon_H166 zenon_H143 zenon_H1cc zenon_H1c4 zenon_Hc5 zenon_H3d zenon_H132 zenon_Hf5 zenon_H1c5 zenon_H13b zenon_H1a6 zenon_H114.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.04/11.22 apply (zenon_L223_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.04/11.22 exact (zenon_H1cc zenon_Hca).
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.04/11.22 apply (zenon_L19_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ].
% 11.04/11.22 apply (zenon_L206_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ].
% 11.04/11.22 apply (zenon_L251_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ].
% 11.04/11.22 apply (zenon_L137_); trivial.
% 11.04/11.22 apply (zenon_L252_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.04/11.22 apply (zenon_L253_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.04/11.22 apply (zenon_L254_); trivial.
% 11.04/11.22 apply (zenon_L231_); trivial.
% 11.04/11.22 (* end of lemma zenon_L255_ *)
% 11.04/11.22 assert (zenon_L256_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H14b zenon_H1e zenon_Hd9 zenon_H3c zenon_H114 zenon_H1a6 zenon_H13b zenon_H1c5 zenon_Hf5 zenon_H132 zenon_Hc5 zenon_H1c4 zenon_H1cc zenon_H143 zenon_H166 zenon_H10e zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_H81 zenon_He3 zenon_H84 zenon_H1ab zenon_H70 zenon_H199 zenon_H1a9 zenon_H22 zenon_H46 zenon_H1b9 zenon_H109 zenon_H158 zenon_H117 zenon_Hec zenon_H65 zenon_H8d zenon_H149.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.22 exact (zenon_H3c zenon_H37).
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.22 apply (zenon_L30_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.22 apply (zenon_L183_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.04/11.22 exact (zenon_H3c zenon_H37).
% 11.04/11.22 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.04/11.22 apply (zenon_L255_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.04/11.22 apply (zenon_L246_); trivial.
% 11.04/11.22 apply (zenon_L110_); trivial.
% 11.04/11.22 (* end of lemma zenon_L256_ *)
% 11.04/11.22 assert (zenon_L257_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_Ha1 zenon_H3f zenon_H12e.
% 11.04/11.22 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e2) (e1)))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_Ha1.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H3f.
% 11.04/11.22 cut (((e1) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H12f].
% 11.04/11.22 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 11.04/11.22 congruence.
% 11.04/11.22 apply zenon_Ha4. apply refl_equal.
% 11.04/11.22 apply zenon_H12f. apply sym_equal. exact zenon_H12e.
% 11.04/11.22 (* end of lemma zenon_L257_ *)
% 11.04/11.22 assert (zenon_L258_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H69 zenon_H101 zenon_H73.
% 11.04/11.22 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (e3)) = (op (e3) (e3)))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H69.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H101.
% 11.04/11.22 cut (((e3) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1d3].
% 11.04/11.22 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 11.04/11.22 congruence.
% 11.04/11.22 apply zenon_H34. apply refl_equal.
% 11.04/11.22 apply zenon_H1d3. apply sym_equal. exact zenon_H73.
% 11.04/11.22 (* end of lemma zenon_L258_ *)
% 11.04/11.22 assert (zenon_L259_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e2) (e3)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H1ae zenon_H1af zenon_H18e zenon_H114 zenon_Hb9 zenon_H69 zenon_H73.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ].
% 11.04/11.22 exact (zenon_H1af zenon_H31).
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ].
% 11.04/11.22 apply (zenon_L182_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ].
% 11.04/11.22 apply (zenon_L227_); trivial.
% 11.04/11.22 apply (zenon_L258_); trivial.
% 11.04/11.22 (* end of lemma zenon_L259_ *)
% 11.04/11.22 assert (zenon_L260_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H1d4 zenon_H1e zenon_H122 zenon_H3f zenon_Ha1 zenon_H65 zenon_H38 zenon_H1ae zenon_H1af zenon_H114 zenon_Hb9 zenon_H69 zenon_H73.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ].
% 11.04/11.22 apply (zenon_L83_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ].
% 11.04/11.22 apply (zenon_L257_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ].
% 11.04/11.22 apply (zenon_L20_); trivial.
% 11.04/11.22 apply (zenon_L259_); trivial.
% 11.04/11.22 (* end of lemma zenon_L260_ *)
% 11.04/11.22 assert (zenon_L261_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H198 zenon_H1e zenon_H32 zenon_H199 zenon_H73 zenon_H69 zenon_Hb9 zenon_H114 zenon_H1af zenon_H1ae zenon_H141 zenon_H16b.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ].
% 11.04/11.22 apply (zenon_L158_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ].
% 11.04/11.22 exact (zenon_H199 zenon_H6f).
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ].
% 11.04/11.22 apply (zenon_L259_); trivial.
% 11.04/11.22 apply (zenon_L177_); trivial.
% 11.04/11.22 (* end of lemma zenon_L261_ *)
% 11.04/11.22 assert (zenon_L262_ : ((op (e3) (e3)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H6e zenon_H73 zenon_H38.
% 11.04/11.22 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 11.04/11.22 cut (((e3) = (e3)) = ((e1) = (e3))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H38.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H39.
% 11.04/11.22 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.22 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3b].
% 11.04/11.22 congruence.
% 11.04/11.22 cut (((op (e3) (e3)) = (e1)) = ((e3) = (e1))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H3b.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H6e.
% 11.04/11.22 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.22 cut (((op (e3) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1c5].
% 11.04/11.22 congruence.
% 11.04/11.22 exact (zenon_H1c5 zenon_H73).
% 11.04/11.22 apply zenon_H2f. apply refl_equal.
% 11.04/11.22 apply zenon_H3a. apply refl_equal.
% 11.04/11.22 apply zenon_H3a. apply refl_equal.
% 11.04/11.22 (* end of lemma zenon_L262_ *)
% 11.04/11.22 assert (zenon_L263_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H15e zenon_H2d zenon_H150 zenon_H16b zenon_H1ae zenon_H1af zenon_H114 zenon_Hb9 zenon_H69 zenon_H199 zenon_H32 zenon_H1e zenon_H198 zenon_Hc3 zenon_H19c zenon_H73 zenon_H38.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.04/11.22 apply (zenon_L169_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.04/11.22 apply (zenon_L261_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.04/11.22 apply (zenon_L167_); trivial.
% 11.04/11.22 apply (zenon_L262_); trivial.
% 11.04/11.22 (* end of lemma zenon_L263_ *)
% 11.04/11.22 assert (zenon_L264_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H15e zenon_H1e zenon_H155 zenon_H2d zenon_H163 zenon_Hc3 zenon_H19c zenon_H73 zenon_H38.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.04/11.22 apply (zenon_L120_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.04/11.22 apply (zenon_L213_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.04/11.22 apply (zenon_L167_); trivial.
% 11.04/11.22 apply (zenon_L262_); trivial.
% 11.04/11.22 (* end of lemma zenon_L264_ *)
% 11.04/11.22 assert (zenon_L265_ : ((op (e3) (e3)) = (e0)) -> ((op (e3) (e3)) = (e3)) -> (~((e0) = (e3))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H68 zenon_H73 zenon_H81.
% 11.04/11.22 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 11.04/11.22 cut (((e3) = (e3)) = ((e0) = (e3))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H81.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H39.
% 11.04/11.22 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.22 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 11.04/11.22 congruence.
% 11.04/11.22 cut (((op (e3) (e3)) = (e0)) = ((e3) = (e0))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H82.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H68.
% 11.04/11.22 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.22 cut (((op (e3) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1c5].
% 11.04/11.22 congruence.
% 11.04/11.22 exact (zenon_H1c5 zenon_H73).
% 11.04/11.22 apply zenon_H2b. apply refl_equal.
% 11.04/11.22 apply zenon_H3a. apply refl_equal.
% 11.04/11.22 apply zenon_H3a. apply refl_equal.
% 11.04/11.22 (* end of lemma zenon_L265_ *)
% 11.04/11.22 assert (zenon_L266_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e3)) -> (~((e0) = (e3))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H166 zenon_H198 zenon_H32 zenon_H199 zenon_H69 zenon_Hb9 zenon_H114 zenon_H1af zenon_H1ae zenon_H16b zenon_H38 zenon_H19c zenon_Hc3 zenon_H2d zenon_H155 zenon_H1e zenon_H15e zenon_He3 zenon_H84 zenon_H73 zenon_H81.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.04/11.22 apply (zenon_L263_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.04/11.22 apply (zenon_L264_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.04/11.22 apply (zenon_L157_); trivial.
% 11.04/11.22 apply (zenon_L265_); trivial.
% 11.04/11.22 (* end of lemma zenon_L266_ *)
% 11.04/11.22 assert (zenon_L267_ : ((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3))) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H1d7 zenon_H24 zenon_H81 zenon_H6f.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ].
% 11.04/11.22 exact (zenon_H199 zenon_H6f).
% 11.04/11.22 apply (zenon_L44_); trivial.
% 11.04/11.22 (* end of lemma zenon_L267_ *)
% 11.04/11.22 assert (zenon_L268_ : ((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H1d8 zenon_H1e zenon_H38 zenon_H31.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ].
% 11.04/11.22 exact (zenon_H1af zenon_H31).
% 11.04/11.22 apply (zenon_L8_); trivial.
% 11.04/11.22 (* end of lemma zenon_L268_ *)
% 11.04/11.22 assert (zenon_L269_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H23 zenon_H11f zenon_H2d.
% 11.04/11.22 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 11.04/11.22 cut (((e1) = (e1)) = ((e0) = (e1))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H2d.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H2e.
% 11.04/11.22 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.22 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 11.04/11.22 congruence.
% 11.04/11.22 cut (((op (e0) (e1)) = (e0)) = ((e1) = (e0))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H30.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H23.
% 11.04/11.22 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.22 cut (((op (e0) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1d9].
% 11.04/11.22 congruence.
% 11.04/11.22 exact (zenon_H1d9 zenon_H11f).
% 11.04/11.22 apply zenon_H2b. apply refl_equal.
% 11.04/11.22 apply zenon_H2f. apply refl_equal.
% 11.04/11.22 apply zenon_H2f. apply refl_equal.
% 11.04/11.22 (* end of lemma zenon_L269_ *)
% 11.04/11.22 assert (zenon_L270_ : ((op (e2) (e0)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H123 zenon_H103 zenon_Ha5.
% 11.04/11.22 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ].
% 11.04/11.22 cut (((e2) = (e2)) = ((e1) = (e2))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_Ha5.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_Ha6.
% 11.04/11.22 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.04/11.22 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 11.04/11.22 congruence.
% 11.04/11.22 cut (((op (e2) (e0)) = (e1)) = ((e2) = (e1))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_Ha7.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H123.
% 11.04/11.22 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.22 cut (((op (e2) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H14e].
% 11.04/11.22 congruence.
% 11.04/11.22 exact (zenon_H14e zenon_H103).
% 11.04/11.22 apply zenon_H2f. apply refl_equal.
% 11.04/11.22 apply zenon_H45. apply refl_equal.
% 11.04/11.22 apply zenon_H45. apply refl_equal.
% 11.04/11.22 (* end of lemma zenon_L270_ *)
% 11.04/11.22 assert (zenon_L271_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H1da zenon_H175 zenon_He6 zenon_Ha5 zenon_H103 zenon_H150 zenon_H2d.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.22 apply (zenon_L151_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.22 exact (zenon_He6 zenon_H1f).
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.22 apply (zenon_L270_); trivial.
% 11.04/11.22 apply (zenon_L169_); trivial.
% 11.04/11.22 (* end of lemma zenon_L271_ *)
% 11.04/11.22 assert (zenon_L272_ : (~((e1) = (e2))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e1)) = (e1)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_Ha5 zenon_H11c zenon_H3f.
% 11.04/11.22 cut (((op (e1) (e1)) = (e2)) = ((e1) = (e2))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_Ha5.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H11c.
% 11.04/11.22 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.04/11.22 cut (((op (e1) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 11.04/11.22 congruence.
% 11.04/11.22 exact (zenon_H40 zenon_H3f).
% 11.04/11.22 apply zenon_H45. apply refl_equal.
% 11.04/11.22 (* end of lemma zenon_L272_ *)
% 11.04/11.22 assert (zenon_L273_ : (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_He9 zenon_H11c zenon_H10d.
% 11.04/11.22 cut (((op (e1) (e1)) = (e2)) = ((op (e1) (e1)) = (op (e1) (e2)))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_He9.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H11c.
% 11.04/11.22 cut (((e2) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 11.04/11.22 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 11.04/11.22 congruence.
% 11.04/11.22 apply zenon_Ha4. apply refl_equal.
% 11.04/11.22 apply zenon_H112. apply sym_equal. exact zenon_H10d.
% 11.04/11.22 (* end of lemma zenon_L273_ *)
% 11.04/11.22 assert (zenon_L274_ : (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H12a zenon_H103 zenon_H130.
% 11.04/11.22 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e2) (e1)))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H12a.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H103.
% 11.04/11.22 cut (((e2) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H131].
% 11.04/11.22 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed].
% 11.04/11.22 congruence.
% 11.04/11.22 apply zenon_Hed. apply refl_equal.
% 11.04/11.22 apply zenon_H131. apply sym_equal. exact zenon_H130.
% 11.04/11.22 (* end of lemma zenon_L274_ *)
% 11.04/11.22 assert (zenon_L275_ : ((op (e3) (e1)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> (~((e0) = (e2))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H163 zenon_H95 zenon_H109.
% 11.04/11.22 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ].
% 11.04/11.22 cut (((e2) = (e2)) = ((e0) = (e2))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H109.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_Ha6.
% 11.04/11.22 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.04/11.22 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H10a].
% 11.04/11.22 congruence.
% 11.04/11.22 cut (((op (e3) (e1)) = (e0)) = ((e2) = (e0))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H10a.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H163.
% 11.04/11.22 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.22 cut (((op (e3) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 11.04/11.22 congruence.
% 11.04/11.22 exact (zenon_H197 zenon_H95).
% 11.04/11.22 apply zenon_H2b. apply refl_equal.
% 11.04/11.22 apply zenon_H45. apply refl_equal.
% 11.04/11.22 apply zenon_H45. apply refl_equal.
% 11.04/11.22 (* end of lemma zenon_L275_ *)
% 11.04/11.22 assert (zenon_L276_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H13a zenon_H175 zenon_H88 zenon_H10d zenon_He9 zenon_H103 zenon_H12a zenon_H163 zenon_H109.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.04/11.22 apply (zenon_L156_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.04/11.22 apply (zenon_L273_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.04/11.22 apply (zenon_L274_); trivial.
% 11.04/11.22 apply (zenon_L275_); trivial.
% 11.04/11.22 (* end of lemma zenon_L276_ *)
% 11.04/11.22 assert (zenon_L277_ : (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H121 zenon_H11c zenon_H10c.
% 11.04/11.22 cut (((op (e1) (e1)) = (e2)) = ((op (e1) (e1)) = (op (e1) (e3)))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H121.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H11c.
% 11.04/11.22 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1a8].
% 11.04/11.22 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 11.04/11.22 congruence.
% 11.04/11.22 apply zenon_Ha4. apply refl_equal.
% 11.04/11.22 apply zenon_H1a8. apply sym_equal. exact zenon_H10c.
% 11.04/11.22 (* end of lemma zenon_L277_ *)
% 11.04/11.22 assert (zenon_L278_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H1b9 zenon_Ha5 zenon_H42 zenon_H10e zenon_H10c zenon_H109 zenon_Ha9 zenon_H140 zenon_H95.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ].
% 11.04/11.22 apply (zenon_L36_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ].
% 11.04/11.22 apply (zenon_L76_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ].
% 11.04/11.22 apply (zenon_L139_); trivial.
% 11.04/11.22 apply (zenon_L174_); trivial.
% 11.04/11.22 (* end of lemma zenon_L278_ *)
% 11.04/11.22 assert (zenon_L279_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H13a zenon_H175 zenon_H88 zenon_H121 zenon_H103 zenon_H12a zenon_H1b9 zenon_Ha5 zenon_H42 zenon_H10e zenon_H10c zenon_H109 zenon_Ha9 zenon_H140.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.04/11.22 apply (zenon_L156_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.04/11.22 apply (zenon_L277_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.04/11.22 apply (zenon_L274_); trivial.
% 11.04/11.22 apply (zenon_L278_); trivial.
% 11.04/11.22 (* end of lemma zenon_L279_ *)
% 11.04/11.22 assert (zenon_L280_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H1dd zenon_H42 zenon_Hc3.
% 11.04/11.22 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e1) (e2)))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H1dd.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H42.
% 11.04/11.22 cut (((e1) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1b8].
% 11.04/11.22 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 11.04/11.22 congruence.
% 11.04/11.22 apply zenon_H87. apply refl_equal.
% 11.04/11.22 apply zenon_H1b8. apply sym_equal. exact zenon_Hc3.
% 11.04/11.22 (* end of lemma zenon_L280_ *)
% 11.04/11.22 assert (zenon_L281_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H1d zenon_H175 zenon_H57.
% 11.04/11.22 cut (((op (e0) (e0)) = (e2)) = ((op (e0) (e0)) = (op (e1) (e0)))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H1d.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H175.
% 11.04/11.22 cut (((e2) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 11.04/11.22 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 11.04/11.22 congruence.
% 11.04/11.22 apply zenon_H21. apply refl_equal.
% 11.04/11.22 apply zenon_H107. apply sym_equal. exact zenon_H57.
% 11.04/11.22 (* end of lemma zenon_L281_ *)
% 11.04/11.22 assert (zenon_L282_ : (~((op (e0) (op (e0) (e0))) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H1de zenon_H175.
% 11.04/11.22 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H171].
% 11.04/11.22 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.22 congruence.
% 11.04/11.22 apply zenon_H2b. apply refl_equal.
% 11.04/11.22 exact (zenon_H171 zenon_H175).
% 11.04/11.22 (* end of lemma zenon_L282_ *)
% 11.04/11.22 assert (zenon_L283_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((e1) = (op (e0) (op (e0) (e0))))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H42 zenon_H175 zenon_H1df.
% 11.04/11.22 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ].
% 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((e1) = (op (e0) (op (e0) (e0))))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H1df.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H48.
% 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1e0].
% 11.04/11.22 congruence.
% 11.04/11.22 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (op (e0) (e0))) = (e1))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H1e0.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H42.
% 11.04/11.22 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.22 cut (((op (e0) (e2)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1e1].
% 11.04/11.22 congruence.
% 11.04/11.22 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ].
% 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e2)) = (op (e0) (op (e0) (e0))))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H1e1.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H48.
% 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1de].
% 11.04/11.22 congruence.
% 11.04/11.22 apply (zenon_L282_); trivial.
% 11.04/11.22 apply zenon_H49. apply refl_equal.
% 11.04/11.22 apply zenon_H49. apply refl_equal.
% 11.04/11.22 apply zenon_H2f. apply refl_equal.
% 11.04/11.22 apply zenon_H49. apply refl_equal.
% 11.04/11.22 apply zenon_H49. apply refl_equal.
% 11.04/11.22 (* end of lemma zenon_L283_ *)
% 11.04/11.22 assert (zenon_L284_ : ((op (e1) (e0)) = (e3)) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H3d zenon_H42 zenon_H175.
% 11.04/11.22 apply (zenon_notand_s _ _ ax9); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1e2 ].
% 11.04/11.22 apply zenon_H1e3. apply sym_equal. exact zenon_H175.
% 11.04/11.22 apply (zenon_notand_s _ _ zenon_H1e2); [ zenon_intro zenon_H4f | zenon_intro zenon_H1df ].
% 11.04/11.22 elim (classic ((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ].
% 11.04/11.22 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0))) = ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H4f.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H50.
% 11.04/11.22 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 11.04/11.22 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 11.04/11.22 congruence.
% 11.04/11.22 cut (((op (e1) (e0)) = (e3)) = ((op (op (e0) (op (e0) (e0))) (e0)) = (e3))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H52.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H3d.
% 11.04/11.22 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.22 cut (((op (e1) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1e4].
% 11.04/11.22 congruence.
% 11.04/11.22 elim (classic ((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ].
% 11.04/11.22 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0))) = ((op (e1) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H1e4.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H50.
% 11.04/11.22 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 11.04/11.22 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1e5].
% 11.04/11.22 congruence.
% 11.04/11.22 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1e0].
% 11.04/11.22 congruence.
% 11.04/11.22 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (op (e0) (e0))) = (e1))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H1e0.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H42.
% 11.04/11.22 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.22 cut (((op (e0) (e2)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1e1].
% 11.04/11.22 congruence.
% 11.04/11.22 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ].
% 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e2)) = (op (e0) (op (e0) (e0))))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H1e1.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H48.
% 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1de].
% 11.04/11.22 congruence.
% 11.04/11.22 apply (zenon_L282_); trivial.
% 11.04/11.22 apply zenon_H49. apply refl_equal.
% 11.04/11.22 apply zenon_H49. apply refl_equal.
% 11.04/11.22 apply zenon_H2f. apply refl_equal.
% 11.04/11.22 apply zenon_H2b. apply refl_equal.
% 11.04/11.22 apply zenon_H51. apply refl_equal.
% 11.04/11.22 apply zenon_H51. apply refl_equal.
% 11.04/11.22 apply zenon_H3a. apply refl_equal.
% 11.04/11.22 apply zenon_H51. apply refl_equal.
% 11.04/11.22 apply zenon_H51. apply refl_equal.
% 11.04/11.22 apply (zenon_L283_); trivial.
% 11.04/11.22 (* end of lemma zenon_L284_ *)
% 11.04/11.22 assert (zenon_L285_ : (~((e2) = (e3))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H149 zenon_Hca zenon_H11c.
% 11.04/11.22 cut (((op (e1) (e1)) = (e3)) = ((e2) = (e3))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H149.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_Hca.
% 11.04/11.22 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.22 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H118].
% 11.04/11.22 congruence.
% 11.04/11.22 exact (zenon_H118 zenon_H11c).
% 11.04/11.22 apply zenon_H3a. apply refl_equal.
% 11.04/11.22 (* end of lemma zenon_L285_ *)
% 11.04/11.22 assert (zenon_L286_ : (~((op (e1) (op (e1) (e1))) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H1e6 zenon_H11c.
% 11.04/11.22 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H118].
% 11.04/11.22 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.22 congruence.
% 11.04/11.22 apply zenon_H2f. apply refl_equal.
% 11.04/11.22 exact (zenon_H118 zenon_H11c).
% 11.04/11.22 (* end of lemma zenon_L286_ *)
% 11.04/11.22 assert (zenon_L287_ : ((op (e1) (e2)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (~((e3) = (op (e1) (op (e1) (e1))))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_Hcb zenon_H11c zenon_H93.
% 11.04/11.22 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ].
% 11.04/11.22 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e3) = (op (e1) (op (e1) (e1))))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H93.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H59.
% 11.04/11.22 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 11.04/11.22 cut (((op (e1) (op (e1) (e1))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H94].
% 11.04/11.22 congruence.
% 11.04/11.22 cut (((op (e1) (e2)) = (e3)) = ((op (e1) (op (e1) (e1))) = (e3))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H94.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_Hcb.
% 11.04/11.22 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.22 cut (((op (e1) (e2)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1e7].
% 11.04/11.22 congruence.
% 11.04/11.22 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ].
% 11.04/11.22 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e2)) = (op (e1) (op (e1) (e1))))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H1e7.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H59.
% 11.04/11.22 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 11.04/11.22 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1e6].
% 11.04/11.22 congruence.
% 11.04/11.22 apply (zenon_L286_); trivial.
% 11.04/11.22 apply zenon_H5a. apply refl_equal.
% 11.04/11.22 apply zenon_H5a. apply refl_equal.
% 11.04/11.22 apply zenon_H3a. apply refl_equal.
% 11.04/11.22 apply zenon_H5a. apply refl_equal.
% 11.04/11.22 apply zenon_H5a. apply refl_equal.
% 11.04/11.22 (* end of lemma zenon_L287_ *)
% 11.04/11.22 assert (zenon_L288_ : ((op (e3) (e1)) = (e0)) -> ((op (e1) (e2)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H163 zenon_Hcb zenon_H11c.
% 11.04/11.22 apply (zenon_notand_s _ _ ax14); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e8 ].
% 11.04/11.22 apply zenon_H1d2. apply sym_equal. exact zenon_H11c.
% 11.04/11.22 apply (zenon_notand_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H93 ].
% 11.04/11.22 elim (classic ((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ].
% 11.04/11.22 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1))) = ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H1e9.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H60.
% 11.04/11.22 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H61].
% 11.04/11.22 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1ea].
% 11.04/11.22 congruence.
% 11.04/11.22 cut (((op (e3) (e1)) = (e0)) = ((op (op (e1) (op (e1) (e1))) (e1)) = (e0))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H1ea.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H163.
% 11.04/11.22 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.22 cut (((op (e3) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H99].
% 11.04/11.22 congruence.
% 11.04/11.22 elim (classic ((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ].
% 11.04/11.22 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1))) = ((op (e3) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H99.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H60.
% 11.04/11.22 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H61].
% 11.04/11.22 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 11.04/11.22 congruence.
% 11.04/11.22 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.22 cut (((op (e1) (op (e1) (e1))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H94].
% 11.04/11.22 congruence.
% 11.04/11.22 cut (((op (e1) (e2)) = (e3)) = ((op (e1) (op (e1) (e1))) = (e3))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H94.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_Hcb.
% 11.04/11.22 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.22 cut (((op (e1) (e2)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1e7].
% 11.04/11.22 congruence.
% 11.04/11.22 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ].
% 11.04/11.22 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e2)) = (op (e1) (op (e1) (e1))))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H1e7.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H59.
% 11.04/11.22 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 11.04/11.22 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1e6].
% 11.04/11.22 congruence.
% 11.04/11.22 apply (zenon_L286_); trivial.
% 11.04/11.22 apply zenon_H5a. apply refl_equal.
% 11.04/11.22 apply zenon_H5a. apply refl_equal.
% 11.04/11.22 apply zenon_H3a. apply refl_equal.
% 11.04/11.22 apply zenon_H2f. apply refl_equal.
% 11.04/11.22 apply zenon_H61. apply refl_equal.
% 11.04/11.22 apply zenon_H61. apply refl_equal.
% 11.04/11.22 apply zenon_H2b. apply refl_equal.
% 11.04/11.22 apply zenon_H61. apply refl_equal.
% 11.04/11.22 apply zenon_H61. apply refl_equal.
% 11.04/11.22 apply (zenon_L287_); trivial.
% 11.04/11.22 (* end of lemma zenon_L288_ *)
% 11.04/11.22 assert (zenon_L289_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_Hd3 zenon_H175 zenon_H42 zenon_H149 zenon_H11c zenon_H163 zenon_H6f zenon_H38.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.04/11.22 apply (zenon_L284_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.04/11.22 apply (zenon_L285_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.04/11.22 apply (zenon_L288_); trivial.
% 11.04/11.22 apply (zenon_L47_); trivial.
% 11.04/11.22 (* end of lemma zenon_L289_ *)
% 11.04/11.22 assert (zenon_L290_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_H140 zenon_Ha9 zenon_H10e zenon_H1b9 zenon_H121 zenon_H104 zenon_H1dd zenon_H117 zenon_H1d zenon_H38 zenon_H149 zenon_H42 zenon_Hd3 zenon_H109 zenon_H163 zenon_H12a zenon_H103 zenon_He9 zenon_H88 zenon_H175 zenon_H13a zenon_Ha5.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.04/11.22 exact (zenon_He6 zenon_H1f).
% 11.04/11.22 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.04/11.22 apply (zenon_L74_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.04/11.22 apply (zenon_L272_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.04/11.22 apply (zenon_L276_); trivial.
% 11.04/11.22 apply (zenon_L279_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.04/11.22 apply (zenon_L280_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.04/11.22 apply (zenon_L281_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.04/11.22 apply (zenon_L289_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.04/11.22 apply (zenon_L276_); trivial.
% 11.04/11.22 apply (zenon_L78_); trivial.
% 11.04/11.22 (* end of lemma zenon_L290_ *)
% 11.04/11.22 assert (zenon_L291_ : (~((e2) = (e3))) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e0)) = (e2)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H149 zenon_H37 zenon_H175.
% 11.04/11.22 cut (((op (e0) (e0)) = (e3)) = ((e2) = (e3))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H149.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H37.
% 11.04/11.22 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.22 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H171].
% 11.04/11.22 congruence.
% 11.04/11.22 exact (zenon_H171 zenon_H175).
% 11.04/11.22 apply zenon_H3a. apply refl_equal.
% 11.04/11.22 (* end of lemma zenon_L291_ *)
% 11.04/11.22 assert (zenon_L292_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((e0) = (e3))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H23 zenon_H89 zenon_H81.
% 11.04/11.22 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 11.04/11.22 cut (((e3) = (e3)) = ((e0) = (e3))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H81.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H39.
% 11.04/11.22 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.22 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 11.04/11.22 congruence.
% 11.04/11.22 cut (((op (e0) (e1)) = (e0)) = ((e3) = (e0))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H82.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H23.
% 11.04/11.22 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.22 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1eb].
% 11.04/11.22 congruence.
% 11.04/11.22 exact (zenon_H1eb zenon_H89).
% 11.04/11.22 apply zenon_H2b. apply refl_equal.
% 11.04/11.22 apply zenon_H3a. apply refl_equal.
% 11.04/11.22 apply zenon_H3a. apply refl_equal.
% 11.04/11.22 (* end of lemma zenon_L292_ *)
% 11.04/11.22 assert (zenon_L293_ : ((op (e0) (e2)) = (e3)) -> ((op (e0) (e0)) = (e2)) -> (~((e3) = (op (e0) (op (e0) (e0))))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_Hdc zenon_H175 zenon_H8b.
% 11.04/11.22 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ].
% 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((e3) = (op (e0) (op (e0) (e0))))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H8b.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H48.
% 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8c].
% 11.04/11.22 congruence.
% 11.04/11.22 cut (((op (e0) (e2)) = (e3)) = ((op (e0) (op (e0) (e0))) = (e3))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H8c.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_Hdc.
% 11.04/11.22 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.22 cut (((op (e0) (e2)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1e1].
% 11.04/11.22 congruence.
% 11.04/11.22 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ].
% 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e2)) = (op (e0) (op (e0) (e0))))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H1e1.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H48.
% 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1de].
% 11.04/11.22 congruence.
% 11.04/11.22 apply (zenon_L282_); trivial.
% 11.04/11.22 apply zenon_H49. apply refl_equal.
% 11.04/11.22 apply zenon_H49. apply refl_equal.
% 11.04/11.22 apply zenon_H3a. apply refl_equal.
% 11.04/11.22 apply zenon_H49. apply refl_equal.
% 11.04/11.22 apply zenon_H49. apply refl_equal.
% 11.04/11.22 (* end of lemma zenon_L293_ *)
% 11.04/11.22 assert (zenon_L294_ : ((op (e3) (e0)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> ((op (e0) (e0)) = (e2)) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H156 zenon_Hdc zenon_H175.
% 11.04/11.22 apply (zenon_notand_s _ _ ax8); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1ec ].
% 11.04/11.22 apply zenon_H1e3. apply sym_equal. exact zenon_H175.
% 11.04/11.22 apply (zenon_notand_s _ _ zenon_H1ec); [ zenon_intro zenon_H1ed | zenon_intro zenon_H8b ].
% 11.04/11.22 elim (classic ((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ].
% 11.04/11.22 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0))) = ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H1ed.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H50.
% 11.04/11.22 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 11.04/11.22 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1ee].
% 11.04/11.22 congruence.
% 11.04/11.22 cut (((op (e3) (e0)) = (e1)) = ((op (op (e0) (op (e0) (e0))) (e0)) = (e1))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H1ee.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H156.
% 11.04/11.22 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.22 cut (((op (e3) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H91].
% 11.04/11.22 congruence.
% 11.04/11.22 elim (classic ((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ].
% 11.04/11.22 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0))) = ((op (e3) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H91.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H50.
% 11.04/11.22 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 11.04/11.22 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H92].
% 11.04/11.22 congruence.
% 11.04/11.22 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8c].
% 11.04/11.22 congruence.
% 11.04/11.22 cut (((op (e0) (e2)) = (e3)) = ((op (e0) (op (e0) (e0))) = (e3))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H8c.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_Hdc.
% 11.04/11.22 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.22 cut (((op (e0) (e2)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1e1].
% 11.04/11.22 congruence.
% 11.04/11.22 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ].
% 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e2)) = (op (e0) (op (e0) (e0))))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H1e1.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H48.
% 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1de].
% 11.04/11.22 congruence.
% 11.04/11.22 apply (zenon_L282_); trivial.
% 11.04/11.22 apply zenon_H49. apply refl_equal.
% 11.04/11.22 apply zenon_H49. apply refl_equal.
% 11.04/11.22 apply zenon_H3a. apply refl_equal.
% 11.04/11.22 apply zenon_H2b. apply refl_equal.
% 11.04/11.22 apply zenon_H51. apply refl_equal.
% 11.04/11.22 apply zenon_H51. apply refl_equal.
% 11.04/11.22 apply zenon_H2f. apply refl_equal.
% 11.04/11.22 apply zenon_H51. apply refl_equal.
% 11.04/11.22 apply zenon_H51. apply refl_equal.
% 11.04/11.22 apply (zenon_L293_); trivial.
% 11.04/11.22 (* end of lemma zenon_L294_ *)
% 11.04/11.22 assert (zenon_L295_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H186 zenon_H101 zenon_H38.
% 11.04/11.22 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 11.04/11.22 cut (((e3) = (e3)) = ((e1) = (e3))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H38.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H39.
% 11.04/11.22 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.22 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3b].
% 11.04/11.22 congruence.
% 11.04/11.22 cut (((op (e0) (e3)) = (e1)) = ((e3) = (e1))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H3b.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H186.
% 11.04/11.22 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.22 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H102].
% 11.04/11.22 congruence.
% 11.04/11.22 exact (zenon_H102 zenon_H101).
% 11.04/11.22 apply zenon_H2f. apply refl_equal.
% 11.04/11.22 apply zenon_H3a. apply refl_equal.
% 11.04/11.22 apply zenon_H3a. apply refl_equal.
% 11.04/11.22 (* end of lemma zenon_L295_ *)
% 11.04/11.22 assert (zenon_L296_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> (~((e1) = (e3))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H11f zenon_H89 zenon_H38.
% 11.04/11.22 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 11.04/11.22 cut (((e3) = (e3)) = ((e1) = (e3))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H38.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H39.
% 11.04/11.22 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.22 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3b].
% 11.04/11.22 congruence.
% 11.04/11.22 cut (((op (e0) (e1)) = (e1)) = ((e3) = (e1))).
% 11.04/11.22 intro zenon_D_pnotp.
% 11.04/11.22 apply zenon_H3b.
% 11.04/11.22 rewrite <- zenon_D_pnotp.
% 11.04/11.22 exact zenon_H11f.
% 11.04/11.22 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.22 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1eb].
% 11.04/11.22 congruence.
% 11.04/11.22 exact (zenon_H1eb zenon_H89).
% 11.04/11.22 apply zenon_H2f. apply refl_equal.
% 11.04/11.22 apply zenon_H3a. apply refl_equal.
% 11.04/11.22 apply zenon_H3a. apply refl_equal.
% 11.04/11.22 (* end of lemma zenon_L296_ *)
% 11.04/11.22 assert (zenon_L297_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H14b zenon_H149 zenon_H38 zenon_H11f zenon_H175 zenon_H156 zenon_H31 zenon_H81.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.22 apply (zenon_L291_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.22 apply (zenon_L296_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.22 apply (zenon_L294_); trivial.
% 11.04/11.22 apply (zenon_L73_); trivial.
% 11.04/11.22 (* end of lemma zenon_L297_ *)
% 11.04/11.22 assert (zenon_L298_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H166 zenon_H2d zenon_H156 zenon_H109 zenon_H95 zenon_Ha9 zenon_Hf5 zenon_H31 zenon_H69.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.04/11.22 apply (zenon_L169_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.04/11.22 apply (zenon_L275_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.04/11.22 apply (zenon_L65_); trivial.
% 11.04/11.22 apply (zenon_L21_); trivial.
% 11.04/11.22 (* end of lemma zenon_L298_ *)
% 11.04/11.22 assert (zenon_L299_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.04/11.22 do 0 intro. intros zenon_H13a zenon_H175 zenon_H88 zenon_H10d zenon_He9 zenon_H103 zenon_H12a zenon_H166 zenon_H2d zenon_H156 zenon_H109 zenon_Ha9 zenon_Hf5 zenon_H31 zenon_H69.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.04/11.22 apply (zenon_L156_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.04/11.22 apply (zenon_L273_); trivial.
% 11.04/11.22 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.04/11.22 apply (zenon_L274_); trivial.
% 11.04/11.23 apply (zenon_L298_); trivial.
% 11.04/11.23 (* end of lemma zenon_L299_ *)
% 11.04/11.23 assert (zenon_L300_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_Hd3 zenon_H175 zenon_H42 zenon_H149 zenon_H69 zenon_H31 zenon_Hf5 zenon_Ha9 zenon_H11c zenon_H156 zenon_H2d zenon_H166 zenon_H6f zenon_H38.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.04/11.23 apply (zenon_L284_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.04/11.23 apply (zenon_L285_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.04/11.23 apply (zenon_L169_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.04/11.23 apply (zenon_L288_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.04/11.23 apply (zenon_L65_); trivial.
% 11.04/11.23 apply (zenon_L21_); trivial.
% 11.04/11.23 apply (zenon_L47_); trivial.
% 11.04/11.23 (* end of lemma zenon_L300_ *)
% 11.04/11.23 assert (zenon_L301_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H31 zenon_H186 zenon_H2d.
% 11.04/11.23 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 11.04/11.23 cut (((e1) = (e1)) = ((e0) = (e1))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H2d.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H2e.
% 11.04/11.23 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.23 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 11.04/11.23 congruence.
% 11.04/11.23 cut (((op (e0) (e3)) = (e0)) = ((e1) = (e0))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H30.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H31.
% 11.04/11.23 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.23 cut (((op (e0) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1ef].
% 11.04/11.23 congruence.
% 11.04/11.23 exact (zenon_H1ef zenon_H186).
% 11.04/11.23 apply zenon_H2b. apply refl_equal.
% 11.04/11.23 apply zenon_H2f. apply refl_equal.
% 11.04/11.23 apply zenon_H2f. apply refl_equal.
% 11.04/11.23 (* end of lemma zenon_L301_ *)
% 11.04/11.23 assert (zenon_L302_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H1da zenon_H186 zenon_H32 zenon_He6 zenon_Ha5 zenon_H103 zenon_Hc4 zenon_H38.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.23 apply (zenon_L158_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.23 exact (zenon_He6 zenon_H1f).
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.23 apply (zenon_L270_); trivial.
% 11.04/11.23 apply (zenon_L239_); trivial.
% 11.04/11.23 (* end of lemma zenon_L302_ *)
% 11.04/11.23 assert (zenon_L303_ : (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_He9 zenon_Hca zenon_Hcb.
% 11.04/11.23 cut (((op (e1) (e1)) = (e3)) = ((op (e1) (e1)) = (op (e1) (e2)))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_He9.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_Hca.
% 11.04/11.23 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hd0].
% 11.04/11.23 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 11.04/11.23 congruence.
% 11.04/11.23 apply zenon_Ha4. apply refl_equal.
% 11.04/11.23 apply zenon_Hd0. apply sym_equal. exact zenon_Hcb.
% 11.04/11.23 (* end of lemma zenon_L303_ *)
% 11.04/11.23 assert (zenon_L304_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H14b zenon_H175 zenon_H149 zenon_H133 zenon_H132 zenon_H38 zenon_H42 zenon_H31 zenon_H81.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.23 apply (zenon_L291_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.23 apply (zenon_L91_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.23 apply (zenon_L71_); trivial.
% 11.04/11.23 apply (zenon_L73_); trivial.
% 11.04/11.23 (* end of lemma zenon_L304_ *)
% 11.04/11.23 assert (zenon_L305_ : (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H1f0 zenon_H1f zenon_Hc3.
% 11.04/11.23 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e1) (e2)))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H1f0.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H1f.
% 11.04/11.23 cut (((e1) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1b8].
% 11.04/11.23 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f1].
% 11.04/11.23 congruence.
% 11.04/11.23 apply zenon_H1f1. apply refl_equal.
% 11.04/11.23 apply zenon_H1b8. apply sym_equal. exact zenon_Hc3.
% 11.04/11.23 (* end of lemma zenon_L305_ *)
% 11.04/11.23 assert (zenon_L306_ : ((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e2)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H1f2 zenon_H66 zenon_H2d zenon_H103.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ].
% 11.04/11.23 exact (zenon_H14e zenon_H103).
% 11.04/11.23 apply (zenon_L37_); trivial.
% 11.04/11.23 (* end of lemma zenon_L306_ *)
% 11.04/11.23 assert (zenon_L307_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e1))) -> ((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H13b zenon_H11f zenon_Hcb zenon_He9 zenon_H12a zenon_Hbe zenon_H81 zenon_H31 zenon_H38 zenon_H132 zenon_H149 zenon_H175 zenon_H14b zenon_H1f zenon_H1f0 zenon_H103 zenon_H2d zenon_H1f2 zenon_H4c zenon_Ha9.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.04/11.23 apply (zenon_L296_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.04/11.23 apply (zenon_L303_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.04/11.23 apply (zenon_L87_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 11.04/11.23 apply (zenon_L304_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 11.04/11.23 apply (zenon_L305_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 11.04/11.23 apply (zenon_L306_); trivial.
% 11.04/11.23 apply (zenon_L40_); trivial.
% 11.04/11.23 (* end of lemma zenon_L307_ *)
% 11.04/11.23 assert (zenon_L308_ : ((op (e1) (e3)) = (e2)) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H10c zenon_Hd1 zenon_H149.
% 11.04/11.23 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 11.04/11.23 cut (((e3) = (e3)) = ((e2) = (e3))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H149.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H39.
% 11.04/11.23 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.23 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 11.04/11.23 congruence.
% 11.04/11.23 cut (((op (e1) (e3)) = (e2)) = ((e3) = (e2))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H14a.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H10c.
% 11.04/11.23 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.04/11.23 cut (((op (e1) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 11.04/11.23 congruence.
% 11.04/11.23 exact (zenon_Hd2 zenon_Hd1).
% 11.04/11.23 apply zenon_H45. apply refl_equal.
% 11.04/11.23 apply zenon_H3a. apply refl_equal.
% 11.04/11.23 apply zenon_H3a. apply refl_equal.
% 11.04/11.23 (* end of lemma zenon_L308_ *)
% 11.04/11.23 assert (zenon_L309_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e1)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e0)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H15e zenon_H69 zenon_Hf5 zenon_H2d zenon_H166 zenon_H95 zenon_Ha9 zenon_H4c zenon_H119 zenon_H109 zenon_H31 zenon_H149 zenon_Hd1 zenon_H103 zenon_H113 zenon_Ha5.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.04/11.23 apply (zenon_L298_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.04/11.23 apply (zenon_L162_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.04/11.23 apply (zenon_L40_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ].
% 11.04/11.23 apply (zenon_L75_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ].
% 11.04/11.23 apply (zenon_L308_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ].
% 11.04/11.23 apply (zenon_L77_); trivial.
% 11.04/11.23 apply (zenon_L125_); trivial.
% 11.04/11.23 (* end of lemma zenon_L309_ *)
% 11.04/11.23 assert (zenon_L310_ : (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_Hc5 zenon_H1f zenon_H156.
% 11.04/11.23 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e3) (e0)))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_Hc5.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H1f.
% 11.04/11.23 cut (((e1) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H157].
% 11.04/11.23 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f1].
% 11.04/11.23 congruence.
% 11.04/11.23 apply zenon_H1f1. apply refl_equal.
% 11.04/11.23 apply zenon_H157. apply sym_equal. exact zenon_H156.
% 11.04/11.23 (* end of lemma zenon_L310_ *)
% 11.04/11.23 assert (zenon_L311_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H13a zenon_H175 zenon_H88 zenon_H24 zenon_H109 zenon_H103 zenon_H12a zenon_H141 zenon_Ha5.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.04/11.23 apply (zenon_L156_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.04/11.23 apply (zenon_L149_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.04/11.23 apply (zenon_L274_); trivial.
% 11.04/11.23 apply (zenon_L162_); trivial.
% 11.04/11.23 (* end of lemma zenon_L311_ *)
% 11.04/11.23 assert (zenon_L312_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e2))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H2c zenon_H175 zenon_H109.
% 11.04/11.23 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ].
% 11.04/11.23 cut (((e2) = (e2)) = ((e0) = (e2))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H109.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_Ha6.
% 11.04/11.23 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.04/11.23 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H10a].
% 11.04/11.23 congruence.
% 11.04/11.23 cut (((op (e0) (e0)) = (e0)) = ((e2) = (e0))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H10a.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H2c.
% 11.04/11.23 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.23 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H171].
% 11.04/11.23 congruence.
% 11.04/11.23 exact (zenon_H171 zenon_H175).
% 11.04/11.23 apply zenon_H2b. apply refl_equal.
% 11.04/11.23 apply zenon_H45. apply refl_equal.
% 11.04/11.23 apply zenon_H45. apply refl_equal.
% 11.04/11.23 (* end of lemma zenon_L312_ *)
% 11.04/11.23 assert (zenon_L313_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> ((op (e1) (e0)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H13a zenon_H175 zenon_H88 zenon_H10d zenon_He9 zenon_H1f3 zenon_H3d zenon_H24.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.04/11.23 apply (zenon_L156_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.04/11.23 apply (zenon_L273_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.04/11.23 exact (zenon_H1f3 zenon_H130).
% 11.04/11.23 apply (zenon_L32_); trivial.
% 11.04/11.23 (* end of lemma zenon_L313_ *)
% 11.04/11.23 assert (zenon_L314_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> ((op (e1) (e0)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H117 zenon_H1d zenon_H109 zenon_He9 zenon_H13a zenon_H175 zenon_H88 zenon_H121 zenon_H1f3 zenon_H3d zenon_H24.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.04/11.23 apply (zenon_L281_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.04/11.23 apply (zenon_L149_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.04/11.23 apply (zenon_L313_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.04/11.23 apply (zenon_L156_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.04/11.23 apply (zenon_L277_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.04/11.23 exact (zenon_H1f3 zenon_H130).
% 11.04/11.23 apply (zenon_L32_); trivial.
% 11.04/11.23 (* end of lemma zenon_L314_ *)
% 11.04/11.23 assert (zenon_L315_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H1f4 zenon_Ha9 zenon_Hc3 zenon_H19c zenon_Hfc zenon_Hf5 zenon_H84 zenon_Hdc.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ].
% 11.04/11.23 apply (zenon_L65_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ].
% 11.04/11.23 apply (zenon_L167_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ].
% 11.04/11.23 apply (zenon_L163_); trivial.
% 11.04/11.23 apply (zenon_L131_); trivial.
% 11.04/11.23 (* end of lemma zenon_L315_ *)
% 11.04/11.23 assert (zenon_L316_ : ((op (e1) (e2)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_Hea zenon_Hc3 zenon_H2d.
% 11.04/11.23 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 11.04/11.23 cut (((e1) = (e1)) = ((e0) = (e1))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H2d.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H2e.
% 11.04/11.23 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.23 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 11.04/11.23 congruence.
% 11.04/11.23 cut (((op (e1) (e2)) = (e0)) = ((e1) = (e0))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H30.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_Hea.
% 11.04/11.23 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.23 cut (((op (e1) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hbd].
% 11.04/11.23 congruence.
% 11.04/11.23 exact (zenon_Hbd zenon_Hc3).
% 11.04/11.23 apply zenon_H2b. apply refl_equal.
% 11.04/11.23 apply zenon_H2f. apply refl_equal.
% 11.04/11.23 apply zenon_H2f. apply refl_equal.
% 11.04/11.23 (* end of lemma zenon_L316_ *)
% 11.04/11.23 assert (zenon_L317_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H6f zenon_Hc3 zenon_H10e.
% 11.04/11.23 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H10f | zenon_intro zenon_H110 ].
% 11.04/11.23 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e2)) = (op (e1) (e3)))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H10e.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H10f.
% 11.04/11.23 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 11.04/11.23 cut (((op (e1) (e3)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H111].
% 11.04/11.23 congruence.
% 11.04/11.23 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e1) (e2)))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H111.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H6f.
% 11.04/11.23 cut (((e1) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1b8].
% 11.04/11.23 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 11.04/11.23 congruence.
% 11.04/11.23 apply zenon_H110. apply refl_equal.
% 11.04/11.23 apply zenon_H1b8. apply sym_equal. exact zenon_Hc3.
% 11.04/11.23 apply zenon_H110. apply refl_equal.
% 11.04/11.23 apply zenon_H110. apply refl_equal.
% 11.04/11.23 (* end of lemma zenon_L317_ *)
% 11.04/11.23 assert (zenon_L318_ : ((op (e0) (e2)) = (e2)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H9b zenon_H175 zenon_H41.
% 11.04/11.23 elim (classic ((op (e0) (e2)) = (op (e0) (e2)))); [ zenon_intro zenon_H183 | zenon_intro zenon_H87 ].
% 11.04/11.23 cut (((op (e0) (e2)) = (op (e0) (e2))) = ((op (e0) (e0)) = (op (e0) (e2)))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H41.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H183.
% 11.04/11.23 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 11.04/11.23 cut (((op (e0) (e2)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H184].
% 11.04/11.23 congruence.
% 11.04/11.23 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e0) (e0)))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H184.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H9b.
% 11.04/11.23 cut (((e2) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1e3].
% 11.04/11.23 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 11.04/11.23 congruence.
% 11.04/11.23 apply zenon_H87. apply refl_equal.
% 11.04/11.23 apply zenon_H1e3. apply sym_equal. exact zenon_H175.
% 11.04/11.23 apply zenon_H87. apply refl_equal.
% 11.04/11.23 apply zenon_H87. apply refl_equal.
% 11.04/11.23 (* end of lemma zenon_L318_ *)
% 11.04/11.23 assert (zenon_L319_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e1)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H170 zenon_H150 zenon_H138 zenon_H85 zenon_H9c zenon_H140 zenon_H145.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H163 | zenon_intro zenon_H17d ].
% 11.04/11.23 apply (zenon_L134_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H141 | zenon_intro zenon_H17e ].
% 11.04/11.23 apply (zenon_L96_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H95 | zenon_intro zenon_H133 ].
% 11.04/11.23 apply (zenon_L174_); trivial.
% 11.04/11.23 exact (zenon_H145 zenon_H133).
% 11.04/11.23 (* end of lemma zenon_L319_ *)
% 11.04/11.23 assert (zenon_L320_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H1b9 zenon_H41 zenon_H175 zenon_H11c zenon_He9 zenon_H109 zenon_Ha9 zenon_H170 zenon_H150 zenon_H138 zenon_H85 zenon_H140 zenon_H145.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ].
% 11.04/11.23 apply (zenon_L318_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ].
% 11.04/11.23 apply (zenon_L273_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ].
% 11.04/11.23 apply (zenon_L139_); trivial.
% 11.04/11.23 apply (zenon_L319_); trivial.
% 11.04/11.23 (* end of lemma zenon_L320_ *)
% 11.04/11.23 assert (zenon_L321_ : ((op (e1) (e1)) = (e3)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_Hca zenon_H3d zenon_H1f7.
% 11.04/11.23 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_He7 | zenon_intro zenon_Ha4 ].
% 11.04/11.23 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (e1) (e0)) = (op (e1) (e1)))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H1f7.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_He7.
% 11.04/11.23 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 11.04/11.23 cut (((op (e1) (e1)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f8].
% 11.04/11.23 congruence.
% 11.04/11.23 cut (((op (e1) (e1)) = (e3)) = ((op (e1) (e1)) = (op (e1) (e0)))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H1f8.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_Hca.
% 11.04/11.23 cut (((e3) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc9].
% 11.04/11.23 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 11.04/11.23 congruence.
% 11.04/11.23 apply zenon_Ha4. apply refl_equal.
% 11.04/11.23 apply zenon_Hc9. apply sym_equal. exact zenon_H3d.
% 11.04/11.23 apply zenon_Ha4. apply refl_equal.
% 11.04/11.23 apply zenon_Ha4. apply refl_equal.
% 11.04/11.23 (* end of lemma zenon_L321_ *)
% 11.04/11.23 assert (zenon_L322_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H162 zenon_H11c zenon_H95.
% 11.04/11.23 cut (((op (e1) (e1)) = (e2)) = ((op (e1) (e1)) = (op (e3) (e1)))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H162.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H11c.
% 11.04/11.23 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 11.04/11.23 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 11.04/11.23 congruence.
% 11.04/11.23 apply zenon_Ha4. apply refl_equal.
% 11.04/11.23 apply zenon_H139. apply sym_equal. exact zenon_H95.
% 11.04/11.23 (* end of lemma zenon_L322_ *)
% 11.04/11.23 assert (zenon_L323_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_Ha1 zenon_Hca zenon_H5d.
% 11.04/11.23 cut (((op (e1) (e1)) = (e3)) = ((op (e1) (e1)) = (op (e2) (e1)))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_Ha1.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_Hca.
% 11.04/11.23 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 11.04/11.23 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 11.04/11.23 congruence.
% 11.04/11.23 apply zenon_Ha4. apply refl_equal.
% 11.04/11.23 apply zenon_H12b. apply sym_equal. exact zenon_H5d.
% 11.04/11.23 (* end of lemma zenon_L323_ *)
% 11.04/11.23 assert (zenon_L324_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H1f9 zenon_Ha2 zenon_H40 zenon_H95 zenon_H162 zenon_Ha1 zenon_H5d.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H24 | zenon_intro zenon_H1fa ].
% 11.04/11.23 apply (zenon_L35_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H3f | zenon_intro zenon_H1fb ].
% 11.04/11.23 exact (zenon_H40 zenon_H3f).
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_Hca ].
% 11.04/11.23 apply (zenon_L322_); trivial.
% 11.04/11.23 apply (zenon_L323_); trivial.
% 11.04/11.23 (* end of lemma zenon_L324_ *)
% 11.04/11.23 assert (zenon_L325_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H13b zenon_H38 zenon_H11f zenon_H1f7 zenon_H3d zenon_Ha1 zenon_H162 zenon_H95 zenon_H40 zenon_Ha2 zenon_H1f9 zenon_H145.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.04/11.23 apply (zenon_L296_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.04/11.23 apply (zenon_L321_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.04/11.23 apply (zenon_L324_); trivial.
% 11.04/11.23 exact (zenon_H145 zenon_H133).
% 11.04/11.23 (* end of lemma zenon_L325_ *)
% 11.04/11.23 assert (zenon_L326_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H13a zenon_Ha5 zenon_H10d zenon_He9 zenon_H1f3 zenon_H13b zenon_H38 zenon_H11f zenon_H1f7 zenon_H3d zenon_Ha1 zenon_H162 zenon_H40 zenon_Ha2 zenon_H1f9 zenon_H145.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.04/11.23 apply (zenon_L81_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.04/11.23 apply (zenon_L273_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.04/11.23 exact (zenon_H1f3 zenon_H130).
% 11.04/11.23 apply (zenon_L325_); trivial.
% 11.04/11.23 (* end of lemma zenon_L326_ *)
% 11.04/11.23 assert (zenon_L327_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H1fc zenon_H1fd zenon_Ha5 zenon_H13a zenon_He9 zenon_H1f3 zenon_H13b zenon_H38 zenon_H11f zenon_H1f7 zenon_H3d zenon_Ha1 zenon_H162 zenon_H40 zenon_H1f9 zenon_H145 zenon_Hbe zenon_H10e zenon_H67 zenon_H1b9 zenon_H41 zenon_H175 zenon_H109 zenon_Ha9 zenon_H170 zenon_H140 zenon_H1d zenon_H117 zenon_Hea zenon_H2d zenon_Hd6 zenon_H138 zenon_H150.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.04/11.23 exact (zenon_H1fd zenon_H23).
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.04/11.23 apply (zenon_L59_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.04/11.23 apply (zenon_L9_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.04/11.23 exact (zenon_H40 zenon_H3f).
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.04/11.23 apply (zenon_L316_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.04/11.23 apply (zenon_L281_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 11.04/11.23 apply (zenon_L284_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 11.04/11.23 apply (zenon_L317_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 11.04/11.23 exact (zenon_H67 zenon_H66).
% 11.04/11.23 apply (zenon_L320_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.04/11.23 apply (zenon_L326_); trivial.
% 11.04/11.23 apply (zenon_L78_); trivial.
% 11.04/11.23 apply (zenon_L134_); trivial.
% 11.04/11.23 (* end of lemma zenon_L327_ *)
% 11.04/11.23 assert (zenon_L328_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H1a9 zenon_H31 zenon_H1a7.
% 11.04/11.23 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H1a9.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H31.
% 11.04/11.23 cut (((e0) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1c9].
% 11.04/11.23 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 11.04/11.23 congruence.
% 11.04/11.23 apply zenon_H34. apply refl_equal.
% 11.04/11.23 apply zenon_H1c9. apply sym_equal. exact zenon_H1a7.
% 11.04/11.23 (* end of lemma zenon_L328_ *)
% 11.04/11.23 assert (zenon_L329_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H200 zenon_Hc5 zenon_H121 zenon_H88 zenon_H150 zenon_H138 zenon_Hd6 zenon_H2d zenon_H117 zenon_H1d zenon_H140 zenon_H170 zenon_Ha9 zenon_H109 zenon_H175 zenon_H41 zenon_H1b9 zenon_H67 zenon_H10e zenon_Hbe zenon_H145 zenon_H1f9 zenon_H40 zenon_H162 zenon_Ha1 zenon_H3d zenon_H1f7 zenon_H11f zenon_H38 zenon_H13b zenon_H1f3 zenon_He9 zenon_H13a zenon_Ha5 zenon_H1fd zenon_H1fc zenon_H1a9 zenon_H31.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.04/11.23 apply (zenon_L127_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.04/11.23 apply (zenon_L314_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.04/11.23 apply (zenon_L327_); trivial.
% 11.04/11.23 apply (zenon_L328_); trivial.
% 11.04/11.23 (* end of lemma zenon_L329_ *)
% 11.04/11.23 assert (zenon_L330_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H13b zenon_H38 zenon_H11f zenon_H24 zenon_H81 zenon_H4c zenon_H12a zenon_H145.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.04/11.23 apply (zenon_L296_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.04/11.23 apply (zenon_L44_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.04/11.23 apply (zenon_L87_); trivial.
% 11.04/11.23 exact (zenon_H145 zenon_H133).
% 11.04/11.23 (* end of lemma zenon_L330_ *)
% 11.04/11.23 assert (zenon_L331_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H13a zenon_H175 zenon_H88 zenon_H10d zenon_He9 zenon_H1f3 zenon_H141 zenon_Ha5.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.04/11.23 apply (zenon_L156_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.04/11.23 apply (zenon_L273_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.04/11.23 exact (zenon_H1f3 zenon_H130).
% 11.04/11.23 apply (zenon_L162_); trivial.
% 11.04/11.23 (* end of lemma zenon_L331_ *)
% 11.04/11.23 assert (zenon_L332_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H15e zenon_H69 zenon_H31 zenon_Hf5 zenon_Ha9 zenon_H95 zenon_H109 zenon_H2d zenon_H166 zenon_Ha5 zenon_H1f3 zenon_He9 zenon_H10d zenon_H88 zenon_H175 zenon_H13a zenon_H42 zenon_H84 zenon_H15d.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.04/11.23 apply (zenon_L298_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.04/11.23 apply (zenon_L331_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.04/11.23 apply (zenon_L27_); trivial.
% 11.04/11.23 exact (zenon_H15d zenon_H6e).
% 11.04/11.23 (* end of lemma zenon_L332_ *)
% 11.04/11.23 assert (zenon_L333_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H15e zenon_H69 zenon_H31 zenon_Hf5 zenon_Ha9 zenon_H109 zenon_H2d zenon_H166 zenon_Ha5 zenon_H1f3 zenon_He9 zenon_H10d zenon_H88 zenon_H175 zenon_H13a zenon_H42 zenon_H84 zenon_H15d.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.04/11.23 apply (zenon_L156_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.04/11.23 apply (zenon_L273_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.04/11.23 exact (zenon_H1f3 zenon_H130).
% 11.04/11.23 apply (zenon_L332_); trivial.
% 11.04/11.23 (* end of lemma zenon_L333_ *)
% 11.04/11.23 assert (zenon_L334_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H13a zenon_H175 zenon_H88 zenon_H121 zenon_H1f3 zenon_H1b9 zenon_Ha5 zenon_H42 zenon_H10e zenon_H10c zenon_H109 zenon_Ha9 zenon_H140.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.04/11.23 apply (zenon_L156_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.04/11.23 apply (zenon_L277_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.04/11.23 exact (zenon_H1f3 zenon_H130).
% 11.04/11.23 apply (zenon_L278_); trivial.
% 11.04/11.23 (* end of lemma zenon_L334_ *)
% 11.04/11.23 assert (zenon_L335_ : ((op (e1) (e2)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> (~((e0) = (op (e1) (op (e1) (e1))))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_Hea zenon_H11c zenon_H203.
% 11.04/11.23 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ].
% 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e0) = (op (e1) (op (e1) (e1))))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H203.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H59.
% 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H204].
% 11.04/11.23 congruence.
% 11.04/11.23 cut (((op (e1) (e2)) = (e0)) = ((op (e1) (op (e1) (e1))) = (e0))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H204.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_Hea.
% 11.04/11.23 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.23 cut (((op (e1) (e2)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1e7].
% 11.04/11.23 congruence.
% 11.04/11.23 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ].
% 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e2)) = (op (e1) (op (e1) (e1))))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H1e7.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H59.
% 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1e6].
% 11.04/11.23 congruence.
% 11.04/11.23 apply (zenon_L286_); trivial.
% 11.04/11.23 apply zenon_H5a. apply refl_equal.
% 11.04/11.23 apply zenon_H5a. apply refl_equal.
% 11.04/11.23 apply zenon_H2b. apply refl_equal.
% 11.04/11.23 apply zenon_H5a. apply refl_equal.
% 11.04/11.23 apply zenon_H5a. apply refl_equal.
% 11.04/11.23 (* end of lemma zenon_L335_ *)
% 11.04/11.23 assert (zenon_L336_ : ((op (e0) (e1)) = (e3)) -> ((op (e1) (e2)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H89 zenon_Hea zenon_H11c.
% 11.04/11.23 apply (zenon_notand_s _ _ ax15); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H205 ].
% 11.04/11.23 apply zenon_H1d2. apply sym_equal. exact zenon_H11c.
% 11.04/11.23 apply (zenon_notand_s _ _ zenon_H205); [ zenon_intro zenon_H5f | zenon_intro zenon_H203 ].
% 11.04/11.23 elim (classic ((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ].
% 11.04/11.23 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1))) = ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H5f.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H60.
% 11.04/11.23 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H61].
% 11.04/11.23 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 11.04/11.23 congruence.
% 11.04/11.23 cut (((op (e0) (e1)) = (e3)) = ((op (op (e1) (op (e1) (e1))) (e1)) = (e3))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H62.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H89.
% 11.04/11.23 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.23 cut (((op (e0) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 11.04/11.23 congruence.
% 11.04/11.23 elim (classic ((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ].
% 11.04/11.23 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1))) = ((op (e0) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H206.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H60.
% 11.04/11.23 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H61].
% 11.04/11.23 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H207].
% 11.04/11.23 congruence.
% 11.04/11.23 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H204].
% 11.04/11.23 congruence.
% 11.04/11.23 cut (((op (e1) (e2)) = (e0)) = ((op (e1) (op (e1) (e1))) = (e0))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H204.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_Hea.
% 11.04/11.23 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.23 cut (((op (e1) (e2)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1e7].
% 11.04/11.23 congruence.
% 11.04/11.23 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ].
% 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e2)) = (op (e1) (op (e1) (e1))))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H1e7.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H59.
% 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1e6].
% 11.04/11.23 congruence.
% 11.04/11.23 apply (zenon_L286_); trivial.
% 11.04/11.23 apply zenon_H5a. apply refl_equal.
% 11.04/11.23 apply zenon_H5a. apply refl_equal.
% 11.04/11.23 apply zenon_H2b. apply refl_equal.
% 11.04/11.23 apply zenon_H2f. apply refl_equal.
% 11.04/11.23 apply zenon_H61. apply refl_equal.
% 11.04/11.23 apply zenon_H61. apply refl_equal.
% 11.04/11.23 apply zenon_H3a. apply refl_equal.
% 11.04/11.23 apply zenon_H61. apply refl_equal.
% 11.04/11.23 apply zenon_H61. apply refl_equal.
% 11.04/11.23 apply (zenon_L335_); trivial.
% 11.04/11.23 (* end of lemma zenon_L336_ *)
% 11.04/11.23 assert (zenon_L337_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e2)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H1f9 zenon_Ha2 zenon_Ha1 zenon_H40 zenon_Hea zenon_H89 zenon_He9 zenon_Hcb.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H24 | zenon_intro zenon_H1fa ].
% 11.04/11.23 apply (zenon_L35_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H3f | zenon_intro zenon_H1fb ].
% 11.04/11.23 exact (zenon_H40 zenon_H3f).
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_Hca ].
% 11.04/11.23 apply (zenon_L336_); trivial.
% 11.04/11.23 apply (zenon_L303_); trivial.
% 11.04/11.23 (* end of lemma zenon_L337_ *)
% 11.04/11.23 assert (zenon_L338_ : (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H121 zenon_Hca zenon_Hd1.
% 11.04/11.23 cut (((op (e1) (e1)) = (e3)) = ((op (e1) (e1)) = (op (e1) (e3)))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H121.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_Hca.
% 11.04/11.23 cut (((e3) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1aa].
% 11.04/11.23 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 11.04/11.23 congruence.
% 11.04/11.23 apply zenon_Ha4. apply refl_equal.
% 11.04/11.23 apply zenon_H1aa. apply sym_equal. exact zenon_Hd1.
% 11.04/11.23 (* end of lemma zenon_L338_ *)
% 11.04/11.23 assert (zenon_L339_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H1f9 zenon_Hea zenon_He9 zenon_H40 zenon_H95 zenon_H162 zenon_H121 zenon_Hd1.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H24 | zenon_intro zenon_H1fa ].
% 11.04/11.23 apply (zenon_L59_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H3f | zenon_intro zenon_H1fb ].
% 11.04/11.23 exact (zenon_H40 zenon_H3f).
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_Hca ].
% 11.04/11.23 apply (zenon_L322_); trivial.
% 11.04/11.23 apply (zenon_L338_); trivial.
% 11.04/11.23 (* end of lemma zenon_L339_ *)
% 11.04/11.23 assert (zenon_L340_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H14b zenon_H149 zenon_H1a9 zenon_H1fc zenon_H1fd zenon_H140 zenon_Ha9 zenon_H109 zenon_H10e zenon_Ha5 zenon_H1b9 zenon_H1f3 zenon_H121 zenon_H88 zenon_H175 zenon_H13a zenon_Hd3 zenon_H22 zenon_Ha1 zenon_H1f9 zenon_He9 zenon_H40 zenon_H162 zenon_H1f zenon_H117 zenon_H138 zenon_H150 zenon_H15d zenon_H84 zenon_H166 zenon_H2d zenon_Hf5 zenon_H69 zenon_H15e zenon_H200 zenon_H38 zenon_H42 zenon_H31 zenon_H81.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.23 apply (zenon_L291_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.04/11.23 apply (zenon_L56_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.04/11.23 apply (zenon_L224_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.04/11.23 apply (zenon_L149_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.04/11.23 apply (zenon_L333_); trivial.
% 11.04/11.23 apply (zenon_L334_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.04/11.23 exact (zenon_H1fd zenon_H23).
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.04/11.23 apply (zenon_L59_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.04/11.23 apply (zenon_L224_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.04/11.23 apply (zenon_L336_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.04/11.23 apply (zenon_L156_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.04/11.23 apply (zenon_L273_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.04/11.23 exact (zenon_H1f3 zenon_H130).
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.04/11.23 apply (zenon_L284_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.04/11.23 apply (zenon_L57_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.04/11.23 apply (zenon_L337_); trivial.
% 11.04/11.23 apply (zenon_L339_); trivial.
% 11.04/11.23 apply (zenon_L334_); trivial.
% 11.04/11.23 apply (zenon_L134_); trivial.
% 11.04/11.23 apply (zenon_L328_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.23 apply (zenon_L71_); trivial.
% 11.04/11.23 apply (zenon_L73_); trivial.
% 11.04/11.23 (* end of lemma zenon_L340_ *)
% 11.04/11.23 assert (zenon_L341_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_Hbe zenon_H81 zenon_H31 zenon_H38 zenon_H200 zenon_H15e zenon_H69 zenon_Hf5 zenon_H166 zenon_H84 zenon_H15d zenon_H117 zenon_H1f zenon_H162 zenon_H40 zenon_H1f9 zenon_Ha1 zenon_H22 zenon_Hd3 zenon_H13a zenon_H88 zenon_H121 zenon_H1f3 zenon_Ha5 zenon_H10e zenon_H1fd zenon_H1fc zenon_H1a9 zenon_H149 zenon_H14b zenon_H2d zenon_Hea zenon_H67 zenon_H1b9 zenon_H41 zenon_H175 zenon_H11c zenon_He9 zenon_H109 zenon_Ha9 zenon_H170 zenon_H150 zenon_H138 zenon_H140 zenon_H145.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 11.04/11.23 apply (zenon_L340_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 11.04/11.23 apply (zenon_L316_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 11.04/11.23 exact (zenon_H67 zenon_H66).
% 11.04/11.23 apply (zenon_L320_); trivial.
% 11.04/11.23 (* end of lemma zenon_L341_ *)
% 11.04/11.23 assert (zenon_L342_ : (~((op (e1) (op (e1) (e1))) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e3)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H208 zenon_Hca.
% 11.04/11.23 cut (((op (e1) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1cc].
% 11.04/11.23 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.23 congruence.
% 11.04/11.23 apply zenon_H2f. apply refl_equal.
% 11.04/11.23 exact (zenon_H1cc zenon_Hca).
% 11.04/11.23 (* end of lemma zenon_L342_ *)
% 11.04/11.23 assert (zenon_L343_ : ((op (e1) (e3)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> (~((e2) = (op (e1) (op (e1) (e1))))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H10c zenon_Hca zenon_H58.
% 11.04/11.23 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ].
% 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e2) = (op (e1) (op (e1) (e1))))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H58.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H59.
% 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5b].
% 11.04/11.23 congruence.
% 11.04/11.23 cut (((op (e1) (e3)) = (e2)) = ((op (e1) (op (e1) (e1))) = (e2))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H5b.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H10c.
% 11.04/11.23 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.04/11.23 cut (((op (e1) (e3)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H209].
% 11.04/11.23 congruence.
% 11.04/11.23 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ].
% 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e3)) = (op (e1) (op (e1) (e1))))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H209.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H59.
% 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H208].
% 11.04/11.23 congruence.
% 11.04/11.23 apply (zenon_L342_); trivial.
% 11.04/11.23 apply zenon_H5a. apply refl_equal.
% 11.04/11.23 apply zenon_H5a. apply refl_equal.
% 11.04/11.23 apply zenon_H45. apply refl_equal.
% 11.04/11.23 apply zenon_H5a. apply refl_equal.
% 11.04/11.23 apply zenon_H5a. apply refl_equal.
% 11.04/11.23 (* end of lemma zenon_L343_ *)
% 11.04/11.23 assert (zenon_L344_ : ((op (e2) (e1)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_Ha2 zenon_H10c zenon_Hca.
% 11.04/11.23 apply (zenon_notand_s _ _ ax16); [ zenon_intro zenon_H20b | zenon_intro zenon_H20a ].
% 11.04/11.23 apply zenon_H20b. apply sym_equal. exact zenon_Hca.
% 11.04/11.23 apply (zenon_notand_s _ _ zenon_H20a); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H58 ].
% 11.04/11.23 elim (classic ((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ].
% 11.04/11.23 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1))) = ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H1e9.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H60.
% 11.04/11.23 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H61].
% 11.04/11.23 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1ea].
% 11.04/11.23 congruence.
% 11.04/11.23 cut (((op (e2) (e1)) = (e0)) = ((op (op (e1) (op (e1) (e1))) (e1)) = (e0))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H1ea.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_Ha2.
% 11.04/11.23 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.23 cut (((op (e2) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H63].
% 11.04/11.23 congruence.
% 11.04/11.23 elim (classic ((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ].
% 11.04/11.23 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1))) = ((op (e2) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H63.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H60.
% 11.04/11.23 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H61].
% 11.04/11.23 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 11.04/11.23 congruence.
% 11.04/11.23 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5b].
% 11.04/11.23 congruence.
% 11.04/11.23 cut (((op (e1) (e3)) = (e2)) = ((op (e1) (op (e1) (e1))) = (e2))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H5b.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H10c.
% 11.04/11.23 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.04/11.23 cut (((op (e1) (e3)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H209].
% 11.04/11.23 congruence.
% 11.04/11.23 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ].
% 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e3)) = (op (e1) (op (e1) (e1))))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H209.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H59.
% 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H208].
% 11.04/11.23 congruence.
% 11.04/11.23 apply (zenon_L342_); trivial.
% 11.04/11.23 apply zenon_H5a. apply refl_equal.
% 11.04/11.23 apply zenon_H5a. apply refl_equal.
% 11.04/11.23 apply zenon_H45. apply refl_equal.
% 11.04/11.23 apply zenon_H2f. apply refl_equal.
% 11.04/11.23 apply zenon_H61. apply refl_equal.
% 11.04/11.23 apply zenon_H61. apply refl_equal.
% 11.04/11.23 apply zenon_H2b. apply refl_equal.
% 11.04/11.23 apply zenon_H61. apply refl_equal.
% 11.04/11.23 apply zenon_H61. apply refl_equal.
% 11.04/11.23 apply (zenon_L343_); trivial.
% 11.04/11.23 (* end of lemma zenon_L344_ *)
% 11.04/11.23 assert (zenon_L345_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H13b zenon_Hea zenon_Hcb zenon_He9 zenon_Ha1 zenon_H162 zenon_H95 zenon_H40 zenon_Ha2 zenon_H1f9 zenon_H145.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.04/11.23 apply (zenon_L337_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.04/11.23 apply (zenon_L303_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.04/11.23 apply (zenon_L324_); trivial.
% 11.04/11.23 exact (zenon_H145 zenon_H133).
% 11.04/11.23 (* end of lemma zenon_L345_ *)
% 11.04/11.23 assert (zenon_L346_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H13a zenon_Ha5 zenon_H121 zenon_H1f3 zenon_Hd3 zenon_H1f7 zenon_H11f zenon_H38 zenon_H145 zenon_H1f9 zenon_Ha2 zenon_H40 zenon_H162 zenon_Ha1 zenon_He9 zenon_Hea zenon_H13b zenon_H10c zenon_H149.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.04/11.23 apply (zenon_L81_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.04/11.23 apply (zenon_L277_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.04/11.23 exact (zenon_H1f3 zenon_H130).
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.04/11.23 apply (zenon_L325_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.04/11.23 apply (zenon_L344_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.04/11.23 apply (zenon_L345_); trivial.
% 11.04/11.23 apply (zenon_L308_); trivial.
% 11.04/11.23 (* end of lemma zenon_L346_ *)
% 11.04/11.23 assert (zenon_L347_ : (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H104 zenon_H1f zenon_H123.
% 11.04/11.23 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e2) (e0)))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H104.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H1f.
% 11.04/11.23 cut (((e1) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 11.04/11.23 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f1].
% 11.04/11.23 congruence.
% 11.04/11.23 apply zenon_H1f1. apply refl_equal.
% 11.04/11.23 apply zenon_H124. apply sym_equal. exact zenon_H123.
% 11.04/11.23 (* end of lemma zenon_L347_ *)
% 11.04/11.23 assert (zenon_L348_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e1) (e0)) = (e3)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H1d zenon_H37 zenon_H3d.
% 11.04/11.23 cut (((op (e0) (e0)) = (e3)) = ((op (e0) (e0)) = (op (e1) (e0)))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H1d.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H37.
% 11.04/11.23 cut (((e3) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc9].
% 11.04/11.23 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 11.04/11.23 congruence.
% 11.04/11.23 apply zenon_H21. apply refl_equal.
% 11.04/11.23 apply zenon_Hc9. apply sym_equal. exact zenon_H3d.
% 11.04/11.23 (* end of lemma zenon_L348_ *)
% 11.04/11.23 assert (zenon_L349_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H20c zenon_Hc5 zenon_H150 zenon_H123 zenon_H104 zenon_H175 zenon_H1d zenon_H37.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_He5 | zenon_intro zenon_H20d ].
% 11.04/11.23 apply (zenon_L127_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f | zenon_intro zenon_H20e ].
% 11.04/11.23 apply (zenon_L347_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H57 | zenon_intro zenon_H3d ].
% 11.04/11.23 apply (zenon_L281_); trivial.
% 11.04/11.23 apply (zenon_L348_); trivial.
% 11.04/11.23 (* end of lemma zenon_L349_ *)
% 11.04/11.23 assert (zenon_L350_ : ((op (e2) (e0)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (e3))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H123 zenon_H4c zenon_H38.
% 11.04/11.23 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 11.04/11.23 cut (((e3) = (e3)) = ((e1) = (e3))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H38.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H39.
% 11.04/11.23 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.23 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3b].
% 11.04/11.23 congruence.
% 11.04/11.23 cut (((op (e2) (e0)) = (e1)) = ((e3) = (e1))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H3b.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H123.
% 11.04/11.23 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.23 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H83].
% 11.04/11.23 congruence.
% 11.04/11.23 exact (zenon_H83 zenon_H4c).
% 11.04/11.23 apply zenon_H2f. apply refl_equal.
% 11.04/11.23 apply zenon_H3a. apply refl_equal.
% 11.04/11.23 apply zenon_H3a. apply refl_equal.
% 11.04/11.23 (* end of lemma zenon_L350_ *)
% 11.04/11.23 assert (zenon_L351_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H1da zenon_H2a zenon_H149 zenon_Hd3 zenon_H15d zenon_H84 zenon_H166 zenon_Hf5 zenon_H69 zenon_H15e zenon_H22 zenon_H12a zenon_H81 zenon_H31 zenon_Hd9 zenon_H1a9 zenon_H1fc zenon_H1fd zenon_Ha5 zenon_H13a zenon_He9 zenon_H1f3 zenon_H13b zenon_H11f zenon_H1f7 zenon_Ha1 zenon_H162 zenon_H40 zenon_H1f9 zenon_H145 zenon_Hbe zenon_H10e zenon_H67 zenon_H1b9 zenon_H41 zenon_H175 zenon_H109 zenon_Ha9 zenon_H170 zenon_H140 zenon_H1d zenon_H117 zenon_Hd6 zenon_H138 zenon_H88 zenon_H121 zenon_Hc5 zenon_H200 zenon_H38 zenon_H20c zenon_H104 zenon_H14b zenon_H150 zenon_H2d.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.23 exact (zenon_H2a zenon_H1e).
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.23 apply (zenon_L291_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.23 apply (zenon_L296_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.04/11.23 apply (zenon_L58_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.04/11.23 apply (zenon_L329_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.04/11.23 apply (zenon_L56_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.04/11.23 apply (zenon_L330_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.04/11.23 exact (zenon_H1fd zenon_H23).
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.04/11.23 apply (zenon_L59_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.04/11.23 apply (zenon_L281_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.04/11.23 apply (zenon_L341_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.04/11.23 apply (zenon_L81_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.04/11.23 apply (zenon_L273_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.04/11.23 exact (zenon_H1f3 zenon_H130).
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 11.04/11.23 apply (zenon_L332_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 11.04/11.23 apply (zenon_L316_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 11.04/11.23 exact (zenon_H67 zenon_H66).
% 11.04/11.23 apply (zenon_L40_); trivial.
% 11.04/11.23 apply (zenon_L346_); trivial.
% 11.04/11.23 apply (zenon_L134_); trivial.
% 11.04/11.23 apply (zenon_L328_); trivial.
% 11.04/11.23 apply (zenon_L116_); trivial.
% 11.04/11.23 apply (zenon_L73_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.23 apply (zenon_L349_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.23 apply (zenon_L296_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.04/11.23 apply (zenon_L58_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.04/11.23 apply (zenon_L329_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.04/11.23 apply (zenon_L350_); trivial.
% 11.04/11.23 apply (zenon_L116_); trivial.
% 11.04/11.23 apply (zenon_L73_); trivial.
% 11.04/11.23 apply (zenon_L169_); trivial.
% 11.04/11.23 (* end of lemma zenon_L351_ *)
% 11.04/11.23 assert (zenon_L352_ : (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H1f0 zenon_He5 zenon_Hea.
% 11.04/11.23 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e1) (e2)))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H1f0.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_He5.
% 11.04/11.23 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Heb].
% 11.04/11.23 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f1].
% 11.04/11.23 congruence.
% 11.04/11.23 apply zenon_H1f1. apply refl_equal.
% 11.04/11.23 apply zenon_Heb. apply sym_equal. exact zenon_Hea.
% 11.04/11.23 (* end of lemma zenon_L352_ *)
% 11.04/11.23 assert (zenon_L353_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e3) (e1)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H20f zenon_He5 zenon_H1f0 zenon_H85 zenon_H19c zenon_He9 zenon_H163 zenon_H11c.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_Hea | zenon_intro zenon_H210 ].
% 11.04/11.23 apply (zenon_L352_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H211 ].
% 11.04/11.23 apply (zenon_L167_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H10d | zenon_intro zenon_Hcb ].
% 11.04/11.23 apply (zenon_L273_); trivial.
% 11.04/11.23 apply (zenon_L288_); trivial.
% 11.04/11.23 (* end of lemma zenon_L353_ *)
% 11.04/11.23 assert (zenon_L354_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H166 zenon_H145 zenon_H140 zenon_H9c zenon_H138 zenon_H170 zenon_H11c zenon_He9 zenon_H19c zenon_H85 zenon_H1f0 zenon_He5 zenon_H20f zenon_Ha9 zenon_Hf5 zenon_H31 zenon_H69.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.04/11.23 apply (zenon_L319_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.04/11.23 apply (zenon_L353_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.04/11.23 apply (zenon_L65_); trivial.
% 11.04/11.23 apply (zenon_L21_); trivial.
% 11.04/11.23 (* end of lemma zenon_L354_ *)
% 11.04/11.23 assert (zenon_L355_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H15e zenon_H81 zenon_H175 zenon_H11f zenon_H38 zenon_H149 zenon_H14b zenon_H2d zenon_H163 zenon_H69 zenon_H31 zenon_Hf5 zenon_Ha9 zenon_H20f zenon_He5 zenon_H1f0 zenon_H19c zenon_He9 zenon_H11c zenon_H170 zenon_H138 zenon_H9c zenon_H140 zenon_H145 zenon_H166 zenon_H15d.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.04/11.23 apply (zenon_L297_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.04/11.23 apply (zenon_L213_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.04/11.23 apply (zenon_L354_); trivial.
% 11.04/11.23 exact (zenon_H15d zenon_H6e).
% 11.04/11.23 (* end of lemma zenon_L355_ *)
% 11.04/11.23 assert (zenon_L356_ : (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H2d zenon_H14b zenon_H104 zenon_H20c zenon_H38 zenon_H200 zenon_Hc5 zenon_H121 zenon_H88 zenon_H138 zenon_Hd6 zenon_H117 zenon_H1d zenon_H140 zenon_H170 zenon_H175 zenon_H41 zenon_H1b9 zenon_H67 zenon_H10e zenon_Hbe zenon_H145 zenon_H1f9 zenon_H40 zenon_H162 zenon_Ha1 zenon_H1f7 zenon_H11f zenon_H13b zenon_H1f3 zenon_He9 zenon_H13a zenon_Ha5 zenon_H1fd zenon_H1fc zenon_H1a9 zenon_Hd9 zenon_H81 zenon_H12a zenon_H22 zenon_H15e zenon_H166 zenon_H84 zenon_H15d zenon_Hd3 zenon_H149 zenon_H2a zenon_H1da zenon_H109 zenon_H95 zenon_Ha9 zenon_Hf5 zenon_H31 zenon_H69.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.04/11.23 apply (zenon_L351_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.04/11.23 apply (zenon_L275_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.04/11.23 apply (zenon_L65_); trivial.
% 11.04/11.23 apply (zenon_L21_); trivial.
% 11.04/11.23 (* end of lemma zenon_L356_ *)
% 11.04/11.23 assert (zenon_L357_ : ((op (e1) (e3)) = (e2)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H10c zenon_H2d zenon_H14b zenon_H104 zenon_H20c zenon_H38 zenon_H200 zenon_Hc5 zenon_H121 zenon_H88 zenon_H138 zenon_Hd6 zenon_H117 zenon_H1d zenon_H140 zenon_H170 zenon_H175 zenon_H41 zenon_H1b9 zenon_H67 zenon_H10e zenon_Hbe zenon_H145 zenon_H1f9 zenon_H40 zenon_H162 zenon_Ha1 zenon_H1f7 zenon_H11f zenon_H13b zenon_H1f3 zenon_He9 zenon_H13a zenon_Ha5 zenon_H1fd zenon_H1fc zenon_H1a9 zenon_Hd9 zenon_H81 zenon_H12a zenon_H22 zenon_H15e zenon_H166 zenon_H84 zenon_H15d zenon_Hd3 zenon_H149 zenon_H2a zenon_H1da zenon_H109 zenon_Ha9 zenon_Hf5 zenon_H31 zenon_H69.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.04/11.23 apply (zenon_L156_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.04/11.23 apply (zenon_L277_); trivial.
% 11.04/11.23 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.04/11.23 exact (zenon_H1f3 zenon_H130).
% 11.04/11.23 apply (zenon_L356_); trivial.
% 11.04/11.23 (* end of lemma zenon_L357_ *)
% 11.04/11.23 assert (zenon_L358_ : ((op (e2) (e0)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (~((e1) = (op (e2) (op (e2) (e2))))) -> False).
% 11.04/11.23 do 0 intro. intros zenon_H123 zenon_Ha9 zenon_H212.
% 11.04/11.23 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 11.04/11.23 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((e1) = (op (e2) (op (e2) (e2))))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H212.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_Had.
% 11.04/11.23 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 11.04/11.23 cut (((op (e2) (op (e2) (e2))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H213].
% 11.04/11.23 congruence.
% 11.04/11.23 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (op (e2) (e2))) = (e1))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_H213.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_H123.
% 11.04/11.23 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.23 cut (((op (e2) (e0)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 11.04/11.23 congruence.
% 11.04/11.23 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 11.04/11.23 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e0)) = (op (e2) (op (e2) (e2))))).
% 11.04/11.23 intro zenon_D_pnotp.
% 11.04/11.23 apply zenon_Hb0.
% 11.04/11.23 rewrite <- zenon_D_pnotp.
% 11.04/11.23 exact zenon_Had.
% 11.04/11.23 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 11.04/11.23 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hab].
% 11.04/11.23 congruence.
% 11.04/11.23 apply (zenon_L38_); trivial.
% 11.04/11.23 apply zenon_Hae. apply refl_equal.
% 11.04/11.23 apply zenon_Hae. apply refl_equal.
% 11.04/11.23 apply zenon_H2f. apply refl_equal.
% 11.04/11.23 apply zenon_Hae. apply refl_equal.
% 11.04/11.23 apply zenon_Hae. apply refl_equal.
% 11.04/11.23 (* end of lemma zenon_L358_ *)
% 11.04/11.23 assert (zenon_L359_ : ((op (e1) (e2)) = (e3)) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> False).
% 11.04/11.23 do 0 intro. intros zenon_Hcb zenon_H123 zenon_Ha9.
% 11.04/11.24 apply (zenon_notand_s _ _ ax19); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H214 ].
% 11.04/11.24 apply zenon_Hb2. apply sym_equal. exact zenon_Ha9.
% 11.04/11.24 apply (zenon_notand_s _ _ zenon_H214); [ zenon_intro zenon_H215 | zenon_intro zenon_H212 ].
% 11.04/11.24 elim (classic ((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ].
% 11.04/11.24 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2))) = ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H215.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_Hb4.
% 11.04/11.24 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 11.04/11.24 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H216].
% 11.04/11.24 congruence.
% 11.04/11.24 cut (((op (e1) (e2)) = (e3)) = ((op (op (e2) (op (e2) (e2))) (e2)) = (e3))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H216.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_Hcb.
% 11.04/11.24 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.24 cut (((op (e1) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H217].
% 11.04/11.24 congruence.
% 11.04/11.24 elim (classic ((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ].
% 11.04/11.24 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2))) = ((op (e1) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H217.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_Hb4.
% 11.04/11.24 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 11.04/11.24 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H218].
% 11.04/11.24 congruence.
% 11.04/11.24 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.04/11.24 cut (((op (e2) (op (e2) (e2))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H213].
% 11.04/11.24 congruence.
% 11.04/11.24 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (op (e2) (e2))) = (e1))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H213.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H123.
% 11.04/11.24 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.24 cut (((op (e2) (e0)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 11.04/11.24 congruence.
% 11.04/11.24 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 11.04/11.24 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e0)) = (op (e2) (op (e2) (e2))))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_Hb0.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_Had.
% 11.04/11.24 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 11.04/11.24 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hab].
% 11.04/11.24 congruence.
% 11.04/11.24 apply (zenon_L38_); trivial.
% 11.04/11.24 apply zenon_Hae. apply refl_equal.
% 11.04/11.24 apply zenon_Hae. apply refl_equal.
% 11.04/11.24 apply zenon_H2f. apply refl_equal.
% 11.04/11.24 apply zenon_H45. apply refl_equal.
% 11.04/11.24 apply zenon_Hb5. apply refl_equal.
% 11.04/11.24 apply zenon_Hb5. apply refl_equal.
% 11.04/11.24 apply zenon_H3a. apply refl_equal.
% 11.04/11.24 apply zenon_Hb5. apply refl_equal.
% 11.04/11.24 apply zenon_Hb5. apply refl_equal.
% 11.04/11.24 apply (zenon_L358_); trivial.
% 11.04/11.24 (* end of lemma zenon_L359_ *)
% 11.04/11.24 assert (zenon_L360_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_Hd3 zenon_Hc5 zenon_Hc4 zenon_H11c zenon_H149 zenon_Ha9 zenon_H123 zenon_H6f zenon_H38.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.04/11.24 apply (zenon_L43_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.04/11.24 apply (zenon_L285_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.04/11.24 apply (zenon_L359_); trivial.
% 11.04/11.24 apply (zenon_L47_); trivial.
% 11.04/11.24 (* end of lemma zenon_L360_ *)
% 11.04/11.24 assert (zenon_L361_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H1da zenon_H2a zenon_H81 zenon_Hd9 zenon_He5 zenon_H14b zenon_Hd6 zenon_Hc5 zenon_H40 zenon_H1dd zenon_H117 zenon_H1d zenon_H38 zenon_H149 zenon_Hd3 zenon_H15d zenon_H84 zenon_H42 zenon_H13a zenon_H175 zenon_H88 zenon_He9 zenon_H1f3 zenon_H166 zenon_H2d zenon_H109 zenon_Ha9 zenon_Hf5 zenon_H31 zenon_H69 zenon_H15e zenon_Ha5.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.24 exact (zenon_H2a zenon_H1e).
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.24 apply (zenon_L56_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.24 apply (zenon_L291_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.04/11.24 apply (zenon_L28_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.04/11.24 apply (zenon_L284_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.04/11.24 apply (zenon_L350_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.04/11.24 apply (zenon_L56_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.04/11.24 exact (zenon_H40 zenon_H3f).
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.04/11.24 apply (zenon_L280_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.04/11.24 apply (zenon_L281_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.04/11.24 apply (zenon_L360_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.04/11.24 apply (zenon_L333_); trivial.
% 11.04/11.24 apply (zenon_L78_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.24 apply (zenon_L71_); trivial.
% 11.04/11.24 apply (zenon_L73_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.04/11.24 apply (zenon_L310_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.04/11.24 exact (zenon_H40 zenon_H3f).
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.04/11.24 apply (zenon_L280_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.04/11.24 apply (zenon_L281_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.04/11.24 apply (zenon_L300_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.04/11.24 apply (zenon_L333_); trivial.
% 11.04/11.24 apply (zenon_L78_); trivial.
% 11.04/11.24 (* end of lemma zenon_L361_ *)
% 11.04/11.24 assert (zenon_L362_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H1b9 zenon_H41 zenon_H175 zenon_H1f9 zenon_Ha2 zenon_H40 zenon_H162 zenon_Ha1 zenon_H3d zenon_H1f7 zenon_H11f zenon_H38 zenon_H13b zenon_H1f3 zenon_Ha5 zenon_H13a zenon_H109 zenon_H166 zenon_H145 zenon_H140 zenon_H138 zenon_H170 zenon_H11c zenon_He9 zenon_H19c zenon_H85 zenon_H1f0 zenon_He5 zenon_H20f zenon_Ha9 zenon_Hf5 zenon_H31 zenon_H69.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ].
% 11.04/11.24 apply (zenon_L318_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ].
% 11.04/11.24 apply (zenon_L326_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ].
% 11.04/11.24 apply (zenon_L139_); trivial.
% 11.04/11.24 apply (zenon_L354_); trivial.
% 11.04/11.24 (* end of lemma zenon_L362_ *)
% 11.04/11.24 assert (zenon_L363_ : ((op (e1) (e2)) = (e2)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H10d zenon_H2d zenon_H14b zenon_H104 zenon_H20c zenon_H38 zenon_H200 zenon_Hc5 zenon_H121 zenon_H88 zenon_H138 zenon_Hd6 zenon_H117 zenon_H1d zenon_H140 zenon_H170 zenon_H175 zenon_H41 zenon_H1b9 zenon_H67 zenon_H10e zenon_Hbe zenon_H145 zenon_H1f9 zenon_H40 zenon_H162 zenon_Ha1 zenon_H1f7 zenon_H11f zenon_H13b zenon_H1f3 zenon_He9 zenon_H13a zenon_Ha5 zenon_H1fd zenon_H1fc zenon_H1a9 zenon_Hd9 zenon_H81 zenon_H12a zenon_H22 zenon_H15e zenon_H166 zenon_H84 zenon_H15d zenon_Hd3 zenon_H149 zenon_H2a zenon_H1da zenon_H109 zenon_Ha9 zenon_Hf5 zenon_H31 zenon_H69.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.04/11.24 apply (zenon_L81_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.04/11.24 apply (zenon_L273_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.04/11.24 exact (zenon_H1f3 zenon_H130).
% 11.04/11.24 apply (zenon_L356_); trivial.
% 11.04/11.24 (* end of lemma zenon_L363_ *)
% 11.04/11.24 assert (zenon_L364_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H13a zenon_H175 zenon_H88 zenon_H10d zenon_He9 zenon_H1f3 zenon_H163 zenon_H109.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.04/11.24 apply (zenon_L156_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.04/11.24 apply (zenon_L273_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.04/11.24 exact (zenon_H1f3 zenon_H130).
% 11.04/11.24 apply (zenon_L275_); trivial.
% 11.04/11.24 (* end of lemma zenon_L364_ *)
% 11.04/11.24 assert (zenon_L365_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H14b zenon_H1d zenon_H104 zenon_Hc5 zenon_H20c zenon_H150 zenon_H123 zenon_H175 zenon_H88 zenon_Hd9 zenon_H38 zenon_H42 zenon_H31 zenon_H81.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.24 apply (zenon_L349_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.04/11.24 apply (zenon_L28_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.04/11.24 apply (zenon_L284_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.04/11.24 apply (zenon_L350_); trivial.
% 11.04/11.24 apply (zenon_L116_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.24 apply (zenon_L71_); trivial.
% 11.04/11.24 apply (zenon_L73_); trivial.
% 11.04/11.24 (* end of lemma zenon_L365_ *)
% 11.04/11.24 assert (zenon_L366_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H1da zenon_H2a zenon_H200 zenon_H15e zenon_H69 zenon_Hf5 zenon_H166 zenon_H84 zenon_H15d zenon_H138 zenon_H117 zenon_H162 zenon_H40 zenon_He9 zenon_H1f9 zenon_Ha1 zenon_H22 zenon_Hd3 zenon_H13a zenon_H121 zenon_H1f3 zenon_H1b9 zenon_Ha5 zenon_H10e zenon_H109 zenon_Ha9 zenon_H140 zenon_H1fd zenon_H1fc zenon_H1a9 zenon_H149 zenon_H81 zenon_H31 zenon_H42 zenon_H38 zenon_Hd9 zenon_H88 zenon_H175 zenon_H20c zenon_Hc5 zenon_H104 zenon_H1d zenon_H14b zenon_H150 zenon_H2d.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.24 exact (zenon_H2a zenon_H1e).
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.24 apply (zenon_L340_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.24 apply (zenon_L365_); trivial.
% 11.04/11.24 apply (zenon_L169_); trivial.
% 11.04/11.24 (* end of lemma zenon_L366_ *)
% 11.04/11.24 assert (zenon_L367_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H219 zenon_Hd6 zenon_H170 zenon_H41 zenon_H67 zenon_Hbe zenon_H145 zenon_H1f7 zenon_H13b zenon_H12a zenon_H150 zenon_H14b zenon_H1d zenon_H104 zenon_Hc5 zenon_H20c zenon_H175 zenon_H88 zenon_Hd9 zenon_H38 zenon_H81 zenon_H149 zenon_H1a9 zenon_H1fc zenon_H1fd zenon_H140 zenon_Ha9 zenon_H109 zenon_H10e zenon_Ha5 zenon_H1b9 zenon_H1f3 zenon_H121 zenon_H13a zenon_Hd3 zenon_H22 zenon_Ha1 zenon_H1f9 zenon_He9 zenon_H40 zenon_H162 zenon_H117 zenon_H138 zenon_H15d zenon_H84 zenon_H166 zenon_Hf5 zenon_H69 zenon_H15e zenon_H200 zenon_H2a zenon_H1da zenon_H31 zenon_H2d.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.04/11.24 exact (zenon_H2a zenon_H1e).
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.04/11.24 apply (zenon_L351_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.04/11.24 apply (zenon_L366_); trivial.
% 11.04/11.24 apply (zenon_L301_); trivial.
% 11.04/11.24 (* end of lemma zenon_L367_ *)
% 11.04/11.24 assert (zenon_L368_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H117 zenon_H1d zenon_H15d zenon_H20f zenon_He5 zenon_H1f0 zenon_H19c zenon_H2d zenon_Hc4 zenon_H38 zenon_H15e zenon_He9 zenon_H13a zenon_H175 zenon_H88 zenon_H121 zenon_H1f3 zenon_H163 zenon_H109.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.04/11.24 apply (zenon_L281_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.04/11.24 apply (zenon_L239_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.04/11.24 apply (zenon_L213_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.04/11.24 apply (zenon_L353_); trivial.
% 11.04/11.24 exact (zenon_H15d zenon_H6e).
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.04/11.24 apply (zenon_L364_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.04/11.24 apply (zenon_L156_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.04/11.24 apply (zenon_L277_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.04/11.24 exact (zenon_H1f3 zenon_H130).
% 11.04/11.24 apply (zenon_L275_); trivial.
% 11.04/11.24 (* end of lemma zenon_L368_ *)
% 11.04/11.24 assert (zenon_L369_ : ((op (e3) (e3)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H6e zenon_H85 zenon_H1ca.
% 11.04/11.24 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ].
% 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e2)) = (op (e3) (e3)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H1ca.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H6a.
% 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1cb].
% 11.04/11.24 congruence.
% 11.04/11.24 cut (((op (e3) (e3)) = (e1)) = ((op (e3) (e3)) = (op (e3) (e2)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H1cb.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H6e.
% 11.04/11.24 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.24 congruence.
% 11.04/11.24 apply zenon_H6b. apply refl_equal.
% 11.04/11.24 apply zenon_H86. apply sym_equal. exact zenon_H85.
% 11.04/11.24 apply zenon_H6b. apply refl_equal.
% 11.04/11.24 apply zenon_H6b. apply refl_equal.
% 11.04/11.24 (* end of lemma zenon_L369_ *)
% 11.04/11.24 assert (zenon_L370_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H1f4 zenon_H150 zenon_H158 zenon_H1ca zenon_H6e zenon_H95 zenon_H140 zenon_H84 zenon_Hdc.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ].
% 11.04/11.24 apply (zenon_L121_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ].
% 11.04/11.24 apply (zenon_L369_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ].
% 11.04/11.24 apply (zenon_L174_); trivial.
% 11.04/11.24 apply (zenon_L131_); trivial.
% 11.04/11.24 (* end of lemma zenon_L370_ *)
% 11.04/11.24 assert (zenon_L371_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H13a zenon_Ha5 zenon_H11f zenon_H10d zenon_He9 zenon_H1f3 zenon_H1f4 zenon_H150 zenon_H158 zenon_H1ca zenon_H6e zenon_H140 zenon_H84 zenon_Hdc.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.04/11.24 apply (zenon_L81_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.04/11.24 apply (zenon_L273_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.04/11.24 exact (zenon_H1f3 zenon_H130).
% 11.04/11.24 apply (zenon_L370_); trivial.
% 11.04/11.24 (* end of lemma zenon_L371_ *)
% 11.04/11.24 assert (zenon_L372_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H13a zenon_H175 zenon_H88 zenon_H10c zenon_H121 zenon_H1f3 zenon_H1f4 zenon_H150 zenon_H158 zenon_H1ca zenon_H6e zenon_H140 zenon_H84 zenon_Hdc.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.04/11.24 apply (zenon_L156_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.04/11.24 apply (zenon_L277_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.04/11.24 exact (zenon_H1f3 zenon_H130).
% 11.04/11.24 apply (zenon_L370_); trivial.
% 11.04/11.24 (* end of lemma zenon_L372_ *)
% 11.04/11.24 assert (zenon_L373_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H117 zenon_H1d zenon_H24 zenon_H109 zenon_He9 zenon_H11f zenon_Ha5 zenon_H13a zenon_H175 zenon_H88 zenon_H121 zenon_H1f3 zenon_H1f4 zenon_H150 zenon_H158 zenon_H1ca zenon_H6e zenon_H140 zenon_H84 zenon_Hdc.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.04/11.24 apply (zenon_L281_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.04/11.24 apply (zenon_L149_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.04/11.24 apply (zenon_L371_); trivial.
% 11.04/11.24 apply (zenon_L372_); trivial.
% 11.04/11.24 (* end of lemma zenon_L373_ *)
% 11.04/11.24 assert (zenon_L374_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e0)) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_Hd6 zenon_H123 zenon_H104 zenon_H40 zenon_H2d zenon_Hea zenon_H6e zenon_H70.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.04/11.24 apply (zenon_L347_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.04/11.24 exact (zenon_H40 zenon_H3f).
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.04/11.24 apply (zenon_L316_); trivial.
% 11.04/11.24 apply (zenon_L22_); trivial.
% 11.04/11.24 (* end of lemma zenon_L374_ *)
% 11.04/11.24 assert (zenon_L375_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H200 zenon_Hc5 zenon_Hdc zenon_H84 zenon_H140 zenon_H1ca zenon_H158 zenon_H150 zenon_H1f4 zenon_H1f3 zenon_H121 zenon_H88 zenon_H175 zenon_H13a zenon_Ha5 zenon_H11f zenon_He9 zenon_H109 zenon_H1d zenon_H117 zenon_H70 zenon_H6e zenon_H2d zenon_H40 zenon_H104 zenon_H123 zenon_Hd6 zenon_H1a9 zenon_H31.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.04/11.24 apply (zenon_L127_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.04/11.24 apply (zenon_L373_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.04/11.24 apply (zenon_L374_); trivial.
% 11.04/11.24 apply (zenon_L328_); trivial.
% 11.04/11.24 (* end of lemma zenon_L375_ *)
% 11.04/11.24 assert (zenon_L376_ : ((op (e3) (e3)) = (e1)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H6e zenon_H156 zenon_H169.
% 11.04/11.24 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ].
% 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e0)) = (op (e3) (e3)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H169.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H6a.
% 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 11.04/11.24 congruence.
% 11.04/11.24 cut (((op (e3) (e3)) = (e1)) = ((op (e3) (e3)) = (op (e3) (e0)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H16a.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H6e.
% 11.04/11.24 cut (((e1) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H157].
% 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.24 congruence.
% 11.04/11.24 apply zenon_H6b. apply refl_equal.
% 11.04/11.24 apply zenon_H157. apply sym_equal. exact zenon_H156.
% 11.04/11.24 apply zenon_H6b. apply refl_equal.
% 11.04/11.24 apply zenon_H6b. apply refl_equal.
% 11.04/11.24 (* end of lemma zenon_L376_ *)
% 11.04/11.24 assert (zenon_L377_ : ((op (e3) (e3)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H6e zenon_H18e zenon_H75.
% 11.04/11.24 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ].
% 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e2) (e3)) = (op (e3) (e3)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H75.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H6a.
% 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.24 cut (((op (e3) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 11.04/11.24 congruence.
% 11.04/11.24 cut (((op (e3) (e3)) = (e1)) = ((op (e3) (e3)) = (op (e2) (e3)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H76.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H6e.
% 11.04/11.24 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1a3].
% 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.24 congruence.
% 11.04/11.24 apply zenon_H6b. apply refl_equal.
% 11.04/11.24 apply zenon_H1a3. apply sym_equal. exact zenon_H18e.
% 11.04/11.24 apply zenon_H6b. apply refl_equal.
% 11.04/11.24 apply zenon_H6b. apply refl_equal.
% 11.04/11.24 (* end of lemma zenon_L377_ *)
% 11.04/11.24 assert (zenon_L378_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H14b zenon_H149 zenon_H38 zenon_H1a9 zenon_H1d4 zenon_H70 zenon_H2d zenon_H40 zenon_H104 zenon_Hd6 zenon_H11f zenon_H12d zenon_H67 zenon_H6e zenon_H75 zenon_H117 zenon_H1d zenon_H109 zenon_He9 zenon_Ha5 zenon_H13a zenon_H175 zenon_H88 zenon_H121 zenon_H1f3 zenon_H1f4 zenon_H150 zenon_H158 zenon_H1ca zenon_H140 zenon_H84 zenon_H1f zenon_H200 zenon_H31 zenon_H81.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.24 apply (zenon_L291_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.24 apply (zenon_L296_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.04/11.24 apply (zenon_L56_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.04/11.24 apply (zenon_L373_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ].
% 11.04/11.24 apply (zenon_L374_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ].
% 11.04/11.24 apply (zenon_L89_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ].
% 11.04/11.24 exact (zenon_H67 zenon_H66).
% 11.04/11.24 apply (zenon_L377_); trivial.
% 11.04/11.24 apply (zenon_L328_); trivial.
% 11.04/11.24 apply (zenon_L73_); trivial.
% 11.04/11.24 (* end of lemma zenon_L378_ *)
% 11.04/11.24 assert (zenon_L379_ : ((~((op (e2) (e1)) = (e2)))\/((op (e2) (e2)) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e1))) -> ((op (e2) (e1)) = (e2)) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H21c zenon_Ha9 zenon_H2d zenon_H130.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ].
% 11.04/11.24 exact (zenon_H1f3 zenon_H130).
% 11.04/11.24 apply (zenon_L37_); trivial.
% 11.04/11.24 (* end of lemma zenon_L379_ *)
% 11.04/11.24 assert (zenon_L380_ : ((op (e1) (e1)) = (e1)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H3f zenon_H11f zenon_H22.
% 11.04/11.24 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_He7 | zenon_intro zenon_Ha4 ].
% 11.04/11.24 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (e0) (e1)) = (op (e1) (e1)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H22.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_He7.
% 11.04/11.24 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 11.04/11.24 cut (((op (e1) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He8].
% 11.04/11.24 congruence.
% 11.04/11.24 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e0) (e1)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_He8.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H3f.
% 11.04/11.24 cut (((e1) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21d].
% 11.04/11.24 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 11.04/11.24 congruence.
% 11.04/11.24 apply zenon_Ha4. apply refl_equal.
% 11.04/11.24 apply zenon_H21d. apply sym_equal. exact zenon_H11f.
% 11.04/11.24 apply zenon_Ha4. apply refl_equal.
% 11.04/11.24 apply zenon_Ha4. apply refl_equal.
% 11.04/11.24 (* end of lemma zenon_L380_ *)
% 11.04/11.24 assert (zenon_L381_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H162 zenon_H3f zenon_H141.
% 11.04/11.24 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e3) (e1)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H162.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H3f.
% 11.04/11.24 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H159].
% 11.04/11.24 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 11.04/11.24 congruence.
% 11.04/11.24 apply zenon_Ha4. apply refl_equal.
% 11.04/11.24 apply zenon_H159. apply sym_equal. exact zenon_H141.
% 11.04/11.24 (* end of lemma zenon_L381_ *)
% 11.04/11.24 assert (zenon_L382_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H15e zenon_H38 zenon_Hc4 zenon_H3f zenon_H162 zenon_H42 zenon_H84 zenon_H15d.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.04/11.24 apply (zenon_L239_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.04/11.24 apply (zenon_L381_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.04/11.24 apply (zenon_L27_); trivial.
% 11.04/11.24 exact (zenon_H15d zenon_H6e).
% 11.04/11.24 (* end of lemma zenon_L382_ *)
% 11.04/11.24 assert (zenon_L383_ : ((op (e1) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H3f zenon_H1f zenon_H1f7.
% 11.04/11.24 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_He7 | zenon_intro zenon_Ha4 ].
% 11.04/11.24 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (e1) (e0)) = (op (e1) (e1)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H1f7.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_He7.
% 11.04/11.24 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 11.04/11.24 cut (((op (e1) (e1)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f8].
% 11.04/11.24 congruence.
% 11.04/11.24 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e1) (e0)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H1f8.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H3f.
% 11.04/11.24 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 11.04/11.24 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 11.04/11.24 congruence.
% 11.04/11.24 apply zenon_Ha4. apply refl_equal.
% 11.04/11.24 apply zenon_H20. apply sym_equal. exact zenon_H1f.
% 11.04/11.24 apply zenon_Ha4. apply refl_equal.
% 11.04/11.24 apply zenon_Ha4. apply refl_equal.
% 11.04/11.24 (* end of lemma zenon_L383_ *)
% 11.04/11.24 assert (zenon_L384_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e0) (e1)) = (e0)))\/((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((~((op (e2) (e1)) = (e2)))\/((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((~((op (e3) (e1)) = (e3)))\/((op (e3) (e3)) = (e1))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H21e zenon_H21f zenon_H173 zenon_H32 zenon_H219 zenon_H2d zenon_H14b zenon_H81 zenon_H88 zenon_H38 zenon_H15e zenon_H84 zenon_H162 zenon_Hd9 zenon_H149 zenon_H13a zenon_Hf5 zenon_H69 zenon_H166 zenon_Ha5 zenon_H1da zenon_H3f zenon_H22 zenon_H2a zenon_Hec zenon_H1f7 zenon_Hc5 zenon_H104 zenon_H1d zenon_H20c zenon_H16f zenon_Ha9 zenon_Hdd zenon_H175 zenon_H109 zenon_H21c zenon_H132 zenon_H220 zenon_H221.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H67 | zenon_intro zenon_H130 ].
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H15d | zenon_intro zenon_H133 ].
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ].
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ].
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.04/11.24 apply (zenon_L312_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.04/11.24 exact (zenon_H1fd zenon_H23).
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.04/11.24 apply (zenon_L155_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.04/11.24 apply (zenon_L6_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.04/11.24 exact (zenon_H2a zenon_H1e).
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.04/11.24 apply (zenon_L380_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.24 exact (zenon_H2a zenon_H1e).
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.24 apply (zenon_L56_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.24 apply (zenon_L291_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.04/11.24 apply (zenon_L28_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.04/11.24 apply (zenon_L284_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.04/11.24 apply (zenon_L350_); trivial.
% 11.04/11.24 apply (zenon_L382_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.24 apply (zenon_L71_); trivial.
% 11.04/11.24 apply (zenon_L73_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.04/11.24 apply (zenon_L156_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.04/11.24 apply (zenon_L272_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.04/11.24 exact (zenon_H1f3 zenon_H130).
% 11.04/11.24 apply (zenon_L298_); trivial.
% 11.04/11.24 apply (zenon_L301_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.04/11.24 apply (zenon_L60_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.04/11.24 exact (zenon_H2a zenon_H1e).
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.04/11.24 apply (zenon_L380_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.24 exact (zenon_H2a zenon_H1e).
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.24 apply (zenon_L383_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.04/11.24 apply (zenon_L349_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.04/11.24 apply (zenon_L284_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.04/11.24 apply (zenon_L350_); trivial.
% 11.04/11.24 apply (zenon_L382_); trivial.
% 11.04/11.24 apply (zenon_L169_); trivial.
% 11.04/11.24 apply (zenon_L301_); trivial.
% 11.04/11.24 exact (zenon_H67 zenon_H66).
% 11.04/11.24 exact (zenon_H2a zenon_H1e).
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ].
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ].
% 11.04/11.24 exact (zenon_H145 zenon_H133).
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.04/11.24 apply (zenon_L312_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.04/11.24 exact (zenon_H1fd zenon_H23).
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.04/11.24 apply (zenon_L155_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.04/11.24 exact (zenon_H2a zenon_H1e).
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.04/11.24 apply (zenon_L380_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.04/11.24 apply (zenon_L304_); trivial.
% 11.04/11.24 apply (zenon_L237_); trivial.
% 11.04/11.24 exact (zenon_H2a zenon_H1e).
% 11.04/11.24 apply (zenon_L379_); trivial.
% 11.04/11.24 (* end of lemma zenon_L384_ *)
% 11.04/11.24 assert (zenon_L385_ : ((~((op (e0) (e1)) = (e0)))\/((op (e0) (e0)) = (e1))) -> ((op (e0) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e0)) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H21f zenon_H175 zenon_Ha5 zenon_H23.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ].
% 11.04/11.24 exact (zenon_H1fd zenon_H23).
% 11.04/11.24 apply (zenon_L151_); trivial.
% 11.04/11.24 (* end of lemma zenon_L385_ *)
% 11.04/11.24 assert (zenon_L386_ : (((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\(((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2)))))))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e0)) = (e2)) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H222 zenon_Ha9 zenon_Hdd zenon_H175.
% 11.04/11.24 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H224. zenon_intro zenon_H223.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H171 | zenon_intro zenon_He3 ].
% 11.04/11.24 exact (zenon_H171 zenon_H175).
% 11.04/11.24 apply (zenon_L155_); trivial.
% 11.04/11.24 (* end of lemma zenon_L386_ *)
% 11.04/11.24 assert (zenon_L387_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_Hd9 zenon_H3c zenon_H175 zenon_H225 zenon_H38 zenon_H42 zenon_Ha9 zenon_H123 zenon_H1a4 zenon_H158.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.04/11.24 exact (zenon_H3c zenon_H37).
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.04/11.24 apply (zenon_L284_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.04/11.24 apply (zenon_L350_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Hdc | zenon_intro zenon_H226 ].
% 11.04/11.24 apply (zenon_L71_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hcb | zenon_intro zenon_H227 ].
% 11.04/11.24 apply (zenon_L359_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H65 | zenon_intro zenon_H153 ].
% 11.04/11.24 exact (zenon_H1a4 zenon_H65).
% 11.04/11.24 apply (zenon_L123_); trivial.
% 11.04/11.24 (* end of lemma zenon_L387_ *)
% 11.04/11.24 assert (zenon_L388_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e2))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H23 zenon_H46 zenon_H109.
% 11.04/11.24 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ].
% 11.04/11.24 cut (((e2) = (e2)) = ((e0) = (e2))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H109.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_Ha6.
% 11.04/11.24 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.04/11.24 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H10a].
% 11.04/11.24 congruence.
% 11.04/11.24 cut (((op (e0) (e1)) = (e0)) = ((e2) = (e0))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H10a.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H23.
% 11.04/11.24 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.24 cut (((op (e0) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H120].
% 11.04/11.24 congruence.
% 11.04/11.24 exact (zenon_H120 zenon_H46).
% 11.04/11.24 apply zenon_H2b. apply refl_equal.
% 11.04/11.24 apply zenon_H45. apply refl_equal.
% 11.04/11.24 apply zenon_H45. apply refl_equal.
% 11.04/11.24 (* end of lemma zenon_L388_ *)
% 11.04/11.24 assert (zenon_L389_ : ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e3)) -> (~((e2) = (e3))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H130 zenon_H5d zenon_H149.
% 11.04/11.24 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 11.04/11.24 cut (((e3) = (e3)) = ((e2) = (e3))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H149.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H39.
% 11.04/11.24 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.24 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 11.04/11.24 congruence.
% 11.04/11.24 cut (((op (e2) (e1)) = (e2)) = ((e3) = (e2))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H14a.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H130.
% 11.04/11.24 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.04/11.24 cut (((op (e2) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H228].
% 11.04/11.24 congruence.
% 11.04/11.24 exact (zenon_H228 zenon_H5d).
% 11.04/11.24 apply zenon_H45. apply refl_equal.
% 11.04/11.24 apply zenon_H3a. apply refl_equal.
% 11.04/11.24 apply zenon_H3a. apply refl_equal.
% 11.04/11.24 (* end of lemma zenon_L389_ *)
% 11.04/11.24 assert (zenon_L390_ : ((op (e3) (e0)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> (~((e1) = (op (e3) (op (e3) (e3))))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H156 zenon_H68 zenon_H229.
% 11.04/11.24 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ].
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e1) = (op (e3) (op (e3) (e3))))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H229.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H18a.
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22a].
% 11.04/11.24 congruence.
% 11.04/11.24 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (op (e3) (e3))) = (e1))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H22a.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H156.
% 11.04/11.24 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.24 cut (((op (e3) (e0)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18d].
% 11.04/11.24 congruence.
% 11.04/11.24 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ].
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e0)) = (op (e3) (op (e3) (e3))))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H18d.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H18a.
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H188].
% 11.04/11.24 congruence.
% 11.04/11.24 apply (zenon_L159_); trivial.
% 11.04/11.24 apply zenon_H18b. apply refl_equal.
% 11.04/11.24 apply zenon_H18b. apply refl_equal.
% 11.04/11.24 apply zenon_H2f. apply refl_equal.
% 11.04/11.24 apply zenon_H18b. apply refl_equal.
% 11.04/11.24 apply zenon_H18b. apply refl_equal.
% 11.04/11.24 (* end of lemma zenon_L390_ *)
% 11.04/11.24 assert (zenon_L391_ : ((op (e1) (e3)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H10c zenon_H156 zenon_H68.
% 11.04/11.24 apply (zenon_notand_s _ _ ax25); [ zenon_intro zenon_H190 | zenon_intro zenon_H22b ].
% 11.04/11.24 apply zenon_H190. apply sym_equal. exact zenon_H68.
% 11.04/11.24 apply (zenon_notand_s _ _ zenon_H22b); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H229 ].
% 11.04/11.24 elim (classic ((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [ zenon_intro zenon_H192 | zenon_intro zenon_H193 ].
% 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3))) = ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H1c0.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H192.
% 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1c1].
% 11.04/11.24 congruence.
% 11.04/11.24 cut (((op (e1) (e3)) = (e2)) = ((op (op (e3) (op (e3) (e3))) (e3)) = (e2))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H1c1.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H10c.
% 11.04/11.24 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.04/11.24 cut (((op (e1) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H22c].
% 11.04/11.24 congruence.
% 11.04/11.24 elim (classic ((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [ zenon_intro zenon_H192 | zenon_intro zenon_H193 ].
% 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3))) = ((op (e1) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H22c.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H192.
% 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H22d].
% 11.04/11.24 congruence.
% 11.04/11.24 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22a].
% 11.04/11.24 congruence.
% 11.04/11.24 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (op (e3) (e3))) = (e1))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H22a.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H156.
% 11.04/11.24 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.24 cut (((op (e3) (e0)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18d].
% 11.04/11.24 congruence.
% 11.04/11.24 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ].
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e0)) = (op (e3) (op (e3) (e3))))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H18d.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H18a.
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H188].
% 11.04/11.24 congruence.
% 11.04/11.24 apply (zenon_L159_); trivial.
% 11.04/11.24 apply zenon_H18b. apply refl_equal.
% 11.04/11.24 apply zenon_H18b. apply refl_equal.
% 11.04/11.24 apply zenon_H2f. apply refl_equal.
% 11.04/11.24 apply zenon_H3a. apply refl_equal.
% 11.04/11.24 apply zenon_H193. apply refl_equal.
% 11.04/11.24 apply zenon_H193. apply refl_equal.
% 11.04/11.24 apply zenon_H45. apply refl_equal.
% 11.04/11.24 apply zenon_H193. apply refl_equal.
% 11.04/11.24 apply zenon_H193. apply refl_equal.
% 11.04/11.24 apply (zenon_L390_); trivial.
% 11.04/11.24 (* end of lemma zenon_L391_ *)
% 11.04/11.24 assert (zenon_L392_ : (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H22e zenon_He5 zenon_H1a7.
% 11.04/11.24 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e1) (e3)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H22e.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_He5.
% 11.04/11.24 cut (((e0) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1c9].
% 11.04/11.24 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f1].
% 11.04/11.24 congruence.
% 11.04/11.24 apply zenon_H1f1. apply refl_equal.
% 11.04/11.24 apply zenon_H1c9. apply sym_equal. exact zenon_H1a7.
% 11.04/11.24 (* end of lemma zenon_L392_ *)
% 11.04/11.24 assert (zenon_L393_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H1ab zenon_He5 zenon_H22e zenon_H3f zenon_H121 zenon_H70 zenon_H7c zenon_H1a9 zenon_H101.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ].
% 11.04/11.24 apply (zenon_L392_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ].
% 11.04/11.24 apply (zenon_L82_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ].
% 11.04/11.24 apply (zenon_L191_); trivial.
% 11.04/11.24 apply (zenon_L192_); trivial.
% 11.04/11.24 (* end of lemma zenon_L393_ *)
% 11.04/11.24 assert (zenon_L394_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H198 zenon_H38 zenon_H101 zenon_H199 zenon_H66 zenon_Hf7 zenon_H156 zenon_H169.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ].
% 11.04/11.24 apply (zenon_L295_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ].
% 11.04/11.24 exact (zenon_H199 zenon_H6f).
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ].
% 11.04/11.24 apply (zenon_L176_); trivial.
% 11.04/11.24 apply (zenon_L376_); trivial.
% 11.04/11.24 (* end of lemma zenon_L394_ *)
% 11.04/11.24 assert (zenon_L395_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H1ab zenon_He5 zenon_H22e zenon_H18e zenon_H1a6 zenon_H70 zenon_H7c zenon_H1a9 zenon_H101.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ].
% 11.04/11.24 apply (zenon_L392_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ].
% 11.04/11.24 apply (zenon_L190_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ].
% 11.04/11.24 apply (zenon_L191_); trivial.
% 11.04/11.24 apply (zenon_L192_); trivial.
% 11.04/11.24 (* end of lemma zenon_L395_ *)
% 11.04/11.24 assert (zenon_L396_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (e1))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H1da zenon_H2d zenon_H158 zenon_H1a4 zenon_H225 zenon_Hd9 zenon_H14b zenon_H3c zenon_Hd6 zenon_H1a9 zenon_H1d4 zenon_Ha1 zenon_H169 zenon_Hf7 zenon_H38 zenon_H198 zenon_H119 zenon_H149 zenon_H140 zenon_Ha9 zenon_H109 zenon_H10e zenon_Ha5 zenon_H1b9 zenon_H19f zenon_H1ab zenon_He5 zenon_H22e zenon_H1a6 zenon_H70 zenon_H1cc zenon_H175 zenon_Hd3 zenon_H13b zenon_H23 zenon_H166 zenon_Hc5 zenon_H81 zenon_Hf5 zenon_H121 zenon_H13a zenon_H42 zenon_H1dd zenon_H199.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.24 apply (zenon_L151_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.24 apply (zenon_L56_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.24 apply (zenon_L387_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.24 exact (zenon_H3c zenon_H37).
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.24 apply (zenon_L292_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.24 apply (zenon_L294_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.04/11.24 apply (zenon_L310_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.04/11.24 apply (zenon_L388_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.04/11.24 apply (zenon_L272_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.04/11.24 apply (zenon_L292_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.04/11.24 exact (zenon_H1cc zenon_Hca).
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.04/11.24 apply (zenon_L389_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.04/11.24 apply (zenon_L127_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.04/11.24 apply (zenon_L244_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.04/11.24 apply (zenon_L65_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ].
% 11.04/11.24 apply (zenon_L184_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ].
% 11.04/11.24 apply (zenon_L391_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ].
% 11.04/11.24 exact (zenon_H19f zenon_H114).
% 11.04/11.24 apply (zenon_L393_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.04/11.24 apply (zenon_L284_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.04/11.24 exact (zenon_H1cc zenon_Hca).
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ].
% 11.04/11.24 apply (zenon_L359_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ].
% 11.04/11.24 apply (zenon_L257_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ].
% 11.04/11.24 apply (zenon_L394_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ].
% 11.04/11.24 apply (zenon_L184_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ].
% 11.04/11.24 apply (zenon_L278_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ].
% 11.04/11.24 exact (zenon_H19f zenon_H114).
% 11.04/11.24 apply (zenon_L395_); trivial.
% 11.04/11.24 apply (zenon_L192_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.04/11.24 apply (zenon_L280_); trivial.
% 11.04/11.24 exact (zenon_H199 zenon_H6f).
% 11.04/11.24 (* end of lemma zenon_L396_ *)
% 11.04/11.24 assert (zenon_L397_ : (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> False).
% 11.04/11.24 do 0 intro. intros zenon_He9 zenon_H3f zenon_Hc3.
% 11.04/11.24 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e1) (e2)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_He9.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H3f.
% 11.04/11.24 cut (((e1) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1b8].
% 11.04/11.24 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 11.04/11.24 congruence.
% 11.04/11.24 apply zenon_Ha4. apply refl_equal.
% 11.04/11.24 apply zenon_H1b8. apply sym_equal. exact zenon_Hc3.
% 11.04/11.24 (* end of lemma zenon_L397_ *)
% 11.04/11.24 assert (zenon_L398_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False).
% 11.04/11.24 do 0 intro. intros zenon_Hec zenon_H123 zenon_H66.
% 11.04/11.24 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (e0)) = (op (e2) (e2)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_Hec.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H123.
% 11.04/11.24 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf2].
% 11.04/11.24 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed].
% 11.04/11.24 congruence.
% 11.04/11.24 apply zenon_Hed. apply refl_equal.
% 11.04/11.24 apply zenon_Hf2. apply sym_equal. exact zenon_H66.
% 11.04/11.24 (* end of lemma zenon_L398_ *)
% 11.04/11.24 assert (zenon_L399_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H1f9 zenon_H23 zenon_H22 zenon_H141 zenon_H162 zenon_H10d zenon_He9 zenon_H1cc.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H24 | zenon_intro zenon_H1fa ].
% 11.04/11.24 apply (zenon_L2_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H3f | zenon_intro zenon_H1fb ].
% 11.04/11.24 apply (zenon_L381_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_Hca ].
% 11.04/11.24 apply (zenon_L273_); trivial.
% 11.04/11.24 exact (zenon_H1cc zenon_Hca).
% 11.04/11.24 (* end of lemma zenon_L399_ *)
% 11.04/11.24 assert (zenon_L400_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H119 zenon_H149 zenon_H101 zenon_H11c zenon_H121 zenon_H19f zenon_Ha5 zenon_H6e.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ].
% 11.04/11.24 apply (zenon_L184_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ].
% 11.04/11.24 apply (zenon_L277_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ].
% 11.04/11.24 exact (zenon_H19f zenon_H114).
% 11.04/11.24 apply (zenon_L125_); trivial.
% 11.04/11.24 (* end of lemma zenon_L400_ *)
% 11.04/11.24 assert (zenon_L401_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H1f9 zenon_H23 zenon_H22 zenon_H12e zenon_Ha1 zenon_H6e zenon_Ha5 zenon_H19f zenon_H121 zenon_H101 zenon_H149 zenon_H119 zenon_H1cc.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H24 | zenon_intro zenon_H1fa ].
% 11.04/11.24 apply (zenon_L2_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H3f | zenon_intro zenon_H1fb ].
% 11.04/11.24 apply (zenon_L257_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_Hca ].
% 11.04/11.24 apply (zenon_L400_); trivial.
% 11.04/11.24 exact (zenon_H1cc zenon_Hca).
% 11.04/11.24 (* end of lemma zenon_L401_ *)
% 11.04/11.24 assert (zenon_L402_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H15e zenon_H1f zenon_Hc5 zenon_He9 zenon_H10d zenon_H162 zenon_H42 zenon_H84 zenon_H1f9 zenon_H23 zenon_H22 zenon_H12e zenon_Ha1 zenon_Ha5 zenon_H19f zenon_H121 zenon_H101 zenon_H149 zenon_H119 zenon_H1cc.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.04/11.24 apply (zenon_L310_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.04/11.24 apply (zenon_L399_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.04/11.24 apply (zenon_L27_); trivial.
% 11.04/11.24 apply (zenon_L401_); trivial.
% 11.04/11.24 (* end of lemma zenon_L402_ *)
% 11.04/11.24 assert (zenon_L403_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H15e zenon_H1f zenon_Hc5 zenon_H1c5 zenon_H9c zenon_H1ca zenon_H16b zenon_H1a7 zenon_H70 zenon_H78 zenon_H42 zenon_H84 zenon_H1f9 zenon_H23 zenon_H22 zenon_H12e zenon_Ha1 zenon_Ha5 zenon_H19f zenon_H121 zenon_H101 zenon_H149 zenon_H119 zenon_H1cc.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.04/11.24 apply (zenon_L310_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.04/11.24 apply (zenon_L230_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.04/11.24 apply (zenon_L27_); trivial.
% 11.04/11.24 apply (zenon_L401_); trivial.
% 11.04/11.24 (* end of lemma zenon_L403_ *)
% 11.04/11.24 assert (zenon_L404_ : ((op (e3) (e3)) = (e0)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H68 zenon_H150 zenon_H169.
% 11.04/11.24 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ].
% 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e0)) = (op (e3) (e3)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H169.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H6a.
% 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 11.04/11.24 congruence.
% 11.04/11.24 cut (((op (e3) (e3)) = (e0)) = ((op (e3) (e3)) = (op (e3) (e0)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H16a.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H68.
% 11.04/11.24 cut (((e0) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H22f].
% 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.24 congruence.
% 11.04/11.24 apply zenon_H6b. apply refl_equal.
% 11.04/11.24 apply zenon_H22f. apply sym_equal. exact zenon_H150.
% 11.04/11.24 apply zenon_H6b. apply refl_equal.
% 11.04/11.24 apply zenon_H6b. apply refl_equal.
% 11.04/11.24 (* end of lemma zenon_L404_ *)
% 11.04/11.24 assert (zenon_L405_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H1cd zenon_H1af zenon_H1c5 zenon_H9c zenon_H1ca zenon_H141 zenon_H16b zenon_H70 zenon_H78 zenon_Ha9 zenon_Hf7 zenon_H150 zenon_H169.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H31 | zenon_intro zenon_H1ce ].
% 11.04/11.24 exact (zenon_H1af zenon_H31).
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1cf ].
% 11.04/11.24 apply (zenon_L230_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hba | zenon_intro zenon_H68 ].
% 11.04/11.24 apply (zenon_L173_); trivial.
% 11.04/11.24 apply (zenon_L404_); trivial.
% 11.04/11.24 (* end of lemma zenon_L405_ *)
% 11.04/11.24 assert (zenon_L406_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((e1) = (e2))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H186 zenon_H108 zenon_Ha5.
% 11.04/11.24 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ].
% 11.04/11.24 cut (((e2) = (e2)) = ((e1) = (e2))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_Ha5.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_Ha6.
% 11.04/11.24 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.04/11.24 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 11.04/11.24 congruence.
% 11.04/11.24 cut (((op (e0) (e3)) = (e1)) = ((e2) = (e1))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_Ha7.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H186.
% 11.04/11.24 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.24 cut (((op (e0) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H10b].
% 11.04/11.24 congruence.
% 11.04/11.24 exact (zenon_H10b zenon_H108).
% 11.04/11.24 apply zenon_H2f. apply refl_equal.
% 11.04/11.24 apply zenon_H45. apply refl_equal.
% 11.04/11.24 apply zenon_H45. apply refl_equal.
% 11.04/11.24 (* end of lemma zenon_L406_ *)
% 11.04/11.24 assert (zenon_L407_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H78 zenon_H169 zenon_H150 zenon_H69 zenon_H186 zenon_H70 zenon_H10c zenon_H1c5.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H68 | zenon_intro zenon_H7a ].
% 11.04/11.24 apply (zenon_L404_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H6e | zenon_intro zenon_H7b ].
% 11.04/11.24 apply (zenon_L237_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7c | zenon_intro zenon_H73 ].
% 11.04/11.24 apply (zenon_L191_); trivial.
% 11.04/11.24 exact (zenon_H1c5 zenon_H73).
% 11.04/11.24 (* end of lemma zenon_L407_ *)
% 11.04/11.24 assert (zenon_L408_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e2)) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H230 zenon_H7c.
% 11.04/11.24 cut (((op (e3) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H79].
% 11.04/11.24 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.24 congruence.
% 11.04/11.24 apply zenon_H3a. apply refl_equal.
% 11.04/11.24 exact (zenon_H79 zenon_H7c).
% 11.04/11.24 (* end of lemma zenon_L408_ *)
% 11.04/11.24 assert (zenon_L409_ : ((op (e3) (e2)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> (~((e1) = (op (e3) (op (e3) (e3))))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H85 zenon_H7c zenon_H229.
% 11.04/11.24 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ].
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e1) = (op (e3) (op (e3) (e3))))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H229.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H18a.
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22a].
% 11.04/11.24 congruence.
% 11.04/11.24 cut (((op (e3) (e2)) = (e1)) = ((op (e3) (op (e3) (e3))) = (e1))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H22a.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H85.
% 11.04/11.24 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.24 cut (((op (e3) (e2)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H231].
% 11.04/11.24 congruence.
% 11.04/11.24 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ].
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e2)) = (op (e3) (op (e3) (e3))))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H231.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H18a.
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H230].
% 11.04/11.24 congruence.
% 11.04/11.24 apply (zenon_L408_); trivial.
% 11.04/11.24 apply zenon_H18b. apply refl_equal.
% 11.04/11.24 apply zenon_H18b. apply refl_equal.
% 11.04/11.24 apply zenon_H2f. apply refl_equal.
% 11.04/11.24 apply zenon_H18b. apply refl_equal.
% 11.04/11.24 apply zenon_H18b. apply refl_equal.
% 11.04/11.24 (* end of lemma zenon_L409_ *)
% 11.04/11.24 assert (zenon_L410_ : ((op (e1) (e3)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H1a7 zenon_H85 zenon_H7c.
% 11.04/11.24 apply (zenon_notand_s _ _ ax28); [ zenon_intro zenon_H233 | zenon_intro zenon_H232 ].
% 11.04/11.24 apply zenon_H233. apply sym_equal. exact zenon_H7c.
% 11.04/11.24 apply (zenon_notand_s _ _ zenon_H232); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H229 ].
% 11.04/11.24 elim (classic ((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [ zenon_intro zenon_H192 | zenon_intro zenon_H193 ].
% 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3))) = ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H1b6.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H192.
% 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1b7].
% 11.04/11.24 congruence.
% 11.04/11.24 cut (((op (e1) (e3)) = (e0)) = ((op (op (e3) (op (e3) (e3))) (e3)) = (e0))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H1b7.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H1a7.
% 11.04/11.24 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.24 cut (((op (e1) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H22c].
% 11.04/11.24 congruence.
% 11.04/11.24 elim (classic ((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [ zenon_intro zenon_H192 | zenon_intro zenon_H193 ].
% 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3))) = ((op (e1) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H22c.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H192.
% 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H22d].
% 11.04/11.24 congruence.
% 11.04/11.24 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22a].
% 11.04/11.24 congruence.
% 11.04/11.24 cut (((op (e3) (e2)) = (e1)) = ((op (e3) (op (e3) (e3))) = (e1))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H22a.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H85.
% 11.04/11.24 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.24 cut (((op (e3) (e2)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H231].
% 11.04/11.24 congruence.
% 11.04/11.24 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ].
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e2)) = (op (e3) (op (e3) (e3))))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H231.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H18a.
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H230].
% 11.04/11.24 congruence.
% 11.04/11.24 apply (zenon_L408_); trivial.
% 11.04/11.24 apply zenon_H18b. apply refl_equal.
% 11.04/11.24 apply zenon_H18b. apply refl_equal.
% 11.04/11.24 apply zenon_H2f. apply refl_equal.
% 11.04/11.24 apply zenon_H3a. apply refl_equal.
% 11.04/11.24 apply zenon_H193. apply refl_equal.
% 11.04/11.24 apply zenon_H193. apply refl_equal.
% 11.04/11.24 apply zenon_H2b. apply refl_equal.
% 11.04/11.24 apply zenon_H193. apply refl_equal.
% 11.04/11.24 apply zenon_H193. apply refl_equal.
% 11.04/11.24 apply (zenon_L409_); trivial.
% 11.04/11.24 (* end of lemma zenon_L410_ *)
% 11.04/11.24 assert (zenon_L411_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e1) (e3)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H119 zenon_Ha5 zenon_H1c5 zenon_H70 zenon_H186 zenon_H69 zenon_H150 zenon_H169 zenon_H78 zenon_H19f zenon_H1a7 zenon_H85.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ].
% 11.04/11.24 apply (zenon_L406_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ].
% 11.04/11.24 apply (zenon_L407_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ].
% 11.04/11.24 exact (zenon_H19f zenon_H114).
% 11.04/11.24 apply (zenon_L410_); trivial.
% 11.04/11.24 (* end of lemma zenon_L411_ *)
% 11.04/11.24 assert (zenon_L412_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e2) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H1cd zenon_H1af zenon_H85 zenon_H19f zenon_H78 zenon_H69 zenon_H186 zenon_H70 zenon_H1c5 zenon_Ha5 zenon_H119 zenon_Ha9 zenon_Hf7 zenon_H150 zenon_H169.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H31 | zenon_intro zenon_H1ce ].
% 11.04/11.24 exact (zenon_H1af zenon_H31).
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1cf ].
% 11.04/11.24 apply (zenon_L411_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hba | zenon_intro zenon_H68 ].
% 11.04/11.24 apply (zenon_L173_); trivial.
% 11.04/11.24 apply (zenon_L404_); trivial.
% 11.04/11.24 (* end of lemma zenon_L412_ *)
% 11.04/11.24 assert (zenon_L413_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H14b zenon_H3c zenon_H81 zenon_H23 zenon_H169 zenon_H150 zenon_Hf7 zenon_Ha9 zenon_H119 zenon_Ha5 zenon_H1c5 zenon_H70 zenon_H69 zenon_H78 zenon_H19f zenon_H1af zenon_H1cd zenon_H2d zenon_H1f0 zenon_H1f zenon_Hbe zenon_H186 zenon_H38.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.24 exact (zenon_H3c zenon_H37).
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.24 apply (zenon_L292_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 11.04/11.24 apply (zenon_L71_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 11.04/11.24 apply (zenon_L305_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 11.04/11.24 apply (zenon_L37_); trivial.
% 11.04/11.24 apply (zenon_L412_); trivial.
% 11.04/11.24 apply (zenon_L295_); trivial.
% 11.04/11.24 (* end of lemma zenon_L413_ *)
% 11.04/11.24 assert (zenon_L414_ : (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H155 zenon_H175 zenon_H8d.
% 11.04/11.24 cut (((op (e0) (e0)) = (e2)) = ((op (e0) (e0)) = (op (e3) (e0)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H155.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H175.
% 11.04/11.24 cut (((e2) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H126].
% 11.04/11.24 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 11.04/11.24 congruence.
% 11.04/11.24 apply zenon_H21. apply refl_equal.
% 11.04/11.24 apply zenon_H126. apply sym_equal. exact zenon_H8d.
% 11.04/11.24 (* end of lemma zenon_L414_ *)
% 11.04/11.24 assert (zenon_L415_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H1f4 zenon_H150 zenon_H158 zenon_H141 zenon_H95 zenon_H140 zenon_H84 zenon_Hdc.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ].
% 11.04/11.24 apply (zenon_L121_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ].
% 11.04/11.24 apply (zenon_L96_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ].
% 11.04/11.24 apply (zenon_L174_); trivial.
% 11.04/11.24 apply (zenon_L131_); trivial.
% 11.04/11.24 (* end of lemma zenon_L415_ *)
% 11.04/11.24 assert (zenon_L416_ : ((op (e3) (e2)) = (e0)) -> ((op (e3) (e3)) = (e2)) -> (~((e0) = (op (e3) (op (e3) (e3))))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_Hf0 zenon_H7c zenon_H1bd.
% 11.04/11.24 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ].
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e0) = (op (e3) (op (e3) (e3))))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H1bd.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H18a.
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1be].
% 11.04/11.24 congruence.
% 11.04/11.24 cut (((op (e3) (e2)) = (e0)) = ((op (e3) (op (e3) (e3))) = (e0))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H1be.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_Hf0.
% 11.04/11.24 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.24 cut (((op (e3) (e2)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H231].
% 11.04/11.24 congruence.
% 11.04/11.24 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ].
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e2)) = (op (e3) (op (e3) (e3))))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H231.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H18a.
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H230].
% 11.04/11.24 congruence.
% 11.04/11.24 apply (zenon_L408_); trivial.
% 11.04/11.24 apply zenon_H18b. apply refl_equal.
% 11.04/11.24 apply zenon_H18b. apply refl_equal.
% 11.04/11.24 apply zenon_H2b. apply refl_equal.
% 11.04/11.24 apply zenon_H18b. apply refl_equal.
% 11.04/11.24 apply zenon_H18b. apply refl_equal.
% 11.04/11.24 (* end of lemma zenon_L416_ *)
% 11.04/11.24 assert (zenon_L417_ : ((op (e0) (e3)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> ((op (e3) (e3)) = (e2)) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H186 zenon_Hf0 zenon_H7c.
% 11.04/11.24 apply (zenon_notand_s _ _ ax29); [ zenon_intro zenon_H233 | zenon_intro zenon_H234 ].
% 11.04/11.24 apply zenon_H233. apply sym_equal. exact zenon_H7c.
% 11.04/11.24 apply (zenon_notand_s _ _ zenon_H234); [ zenon_intro zenon_H191 | zenon_intro zenon_H1bd ].
% 11.04/11.24 elim (classic ((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [ zenon_intro zenon_H192 | zenon_intro zenon_H193 ].
% 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3))) = ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H191.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H192.
% 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H194].
% 11.04/11.24 congruence.
% 11.04/11.24 cut (((op (e0) (e3)) = (e1)) = ((op (op (e3) (op (e3) (e3))) (e3)) = (e1))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H194.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H186.
% 11.04/11.24 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.24 cut (((op (e0) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 11.04/11.24 congruence.
% 11.04/11.24 elim (classic ((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [ zenon_intro zenon_H192 | zenon_intro zenon_H193 ].
% 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3))) = ((op (e0) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H1c2.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H192.
% 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1c3].
% 11.04/11.24 congruence.
% 11.04/11.24 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1be].
% 11.04/11.24 congruence.
% 11.04/11.24 cut (((op (e3) (e2)) = (e0)) = ((op (e3) (op (e3) (e3))) = (e0))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H1be.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_Hf0.
% 11.04/11.24 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.24 cut (((op (e3) (e2)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H231].
% 11.04/11.24 congruence.
% 11.04/11.24 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ].
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e2)) = (op (e3) (op (e3) (e3))))).
% 11.04/11.24 intro zenon_D_pnotp.
% 11.04/11.24 apply zenon_H231.
% 11.04/11.24 rewrite <- zenon_D_pnotp.
% 11.04/11.24 exact zenon_H18a.
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H230].
% 11.04/11.24 congruence.
% 11.04/11.24 apply (zenon_L408_); trivial.
% 11.04/11.24 apply zenon_H18b. apply refl_equal.
% 11.04/11.24 apply zenon_H18b. apply refl_equal.
% 11.04/11.24 apply zenon_H2b. apply refl_equal.
% 11.04/11.24 apply zenon_H3a. apply refl_equal.
% 11.04/11.24 apply zenon_H193. apply refl_equal.
% 11.04/11.24 apply zenon_H193. apply refl_equal.
% 11.04/11.24 apply zenon_H2f. apply refl_equal.
% 11.04/11.24 apply zenon_H193. apply refl_equal.
% 11.04/11.24 apply zenon_H193. apply refl_equal.
% 11.04/11.24 apply (zenon_L416_); trivial.
% 11.04/11.24 (* end of lemma zenon_L417_ *)
% 11.04/11.24 assert (zenon_L418_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H9e zenon_H175 zenon_H155 zenon_H158 zenon_H150 zenon_H1c5 zenon_H16b zenon_H1a7 zenon_H70 zenon_H78 zenon_H1f4 zenon_H186 zenon_H141 zenon_H140 zenon_H1ca zenon_H84 zenon_Hdc.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.04/11.24 apply (zenon_L414_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.04/11.24 apply (zenon_L415_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.04/11.24 apply (zenon_L230_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ].
% 11.04/11.24 apply (zenon_L417_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ].
% 11.04/11.24 apply (zenon_L96_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ].
% 11.04/11.24 apply (zenon_L229_); trivial.
% 11.04/11.24 apply (zenon_L131_); trivial.
% 11.04/11.24 (* end of lemma zenon_L418_ *)
% 11.04/11.24 assert (zenon_L419_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.04/11.24 do 0 intro. intros zenon_H15e zenon_Hdc zenon_H84 zenon_H1ca zenon_H140 zenon_H1f4 zenon_H78 zenon_H70 zenon_H1a7 zenon_H16b zenon_H1c5 zenon_H150 zenon_H158 zenon_H155 zenon_H175 zenon_H9e zenon_Hc3 zenon_H19c zenon_H186 zenon_H69.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.04/11.24 apply (zenon_L294_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.04/11.24 apply (zenon_L418_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.04/11.24 apply (zenon_L167_); trivial.
% 11.04/11.24 apply (zenon_L237_); trivial.
% 11.04/11.24 (* end of lemma zenon_L419_ *)
% 11.04/11.24 assert (zenon_L420_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e1) (e3)) = (e0)) -> False).
% 11.04/11.24 do 0 intro. intros zenon_Hbe zenon_H3d zenon_H19c zenon_H9e zenon_H175 zenon_H155 zenon_H158 zenon_H16b zenon_H1f4 zenon_H140 zenon_H1ca zenon_H84 zenon_Hdc zenon_H15e zenon_H123 zenon_Hec zenon_H119 zenon_Ha5 zenon_H1c5 zenon_H70 zenon_H186 zenon_H69 zenon_H150 zenon_H169 zenon_H78 zenon_H19f zenon_H1a7.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 11.04/11.24 apply (zenon_L284_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 11.04/11.24 apply (zenon_L419_); trivial.
% 11.04/11.24 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 11.04/11.24 apply (zenon_L398_); trivial.
% 11.04/11.24 apply (zenon_L411_); trivial.
% 11.04/11.24 (* end of lemma zenon_L420_ *)
% 11.04/11.24 assert (zenon_L421_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e0)) = (e3)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H1cd zenon_H1af zenon_H19f zenon_H78 zenon_H69 zenon_H186 zenon_H70 zenon_H1c5 zenon_Ha5 zenon_H119 zenon_Hec zenon_H123 zenon_H15e zenon_Hdc zenon_H84 zenon_H1ca zenon_H140 zenon_H1f4 zenon_H16b zenon_H158 zenon_H155 zenon_H175 zenon_H9e zenon_H19c zenon_H3d zenon_Hbe zenon_Ha9 zenon_Hf7 zenon_H150 zenon_H169.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H31 | zenon_intro zenon_H1ce ].
% 11.04/11.25 exact (zenon_H1af zenon_H31).
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1cf ].
% 11.04/11.25 apply (zenon_L420_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hba | zenon_intro zenon_H68 ].
% 11.04/11.25 apply (zenon_L173_); trivial.
% 11.04/11.25 apply (zenon_L404_); trivial.
% 11.04/11.25 (* end of lemma zenon_L421_ *)
% 11.04/11.25 assert (zenon_L422_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H1da zenon_H32 zenon_H1f0 zenon_H38 zenon_H186 zenon_Hd9 zenon_H3c zenon_H169 zenon_Hf7 zenon_Ha9 zenon_Hbe zenon_H19c zenon_H9e zenon_H175 zenon_H155 zenon_H158 zenon_H16b zenon_H1f4 zenon_H140 zenon_H1ca zenon_H84 zenon_H15e zenon_Hec zenon_H119 zenon_Ha5 zenon_H1c5 zenon_H70 zenon_H69 zenon_H78 zenon_H19f zenon_H1af zenon_H1cd zenon_H81 zenon_H23 zenon_H14b zenon_H150 zenon_H2d.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.25 apply (zenon_L158_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.25 apply (zenon_L413_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.25 exact (zenon_H3c zenon_H37).
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.25 apply (zenon_L292_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.25 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.04/11.25 exact (zenon_H3c zenon_H37).
% 11.04/11.25 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.04/11.25 apply (zenon_L421_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.04/11.25 apply (zenon_L350_); trivial.
% 11.04/11.25 apply (zenon_L116_); trivial.
% 11.04/11.25 apply (zenon_L295_); trivial.
% 11.04/11.25 apply (zenon_L169_); trivial.
% 11.04/11.25 (* end of lemma zenon_L422_ *)
% 11.04/11.25 assert (zenon_L423_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H219 zenon_H225 zenon_H1a4 zenon_H146 zenon_H1f7 zenon_Hc5 zenon_Ha1 zenon_H121 zenon_H149 zenon_H1b9 zenon_H41 zenon_H1cc zenon_He9 zenon_H162 zenon_H22 zenon_H1f9 zenon_H109 zenon_H1da zenon_H32 zenon_H1f0 zenon_H38 zenon_Hd9 zenon_H3c zenon_H169 zenon_Hf7 zenon_Ha9 zenon_Hbe zenon_H19c zenon_H9e zenon_H175 zenon_H155 zenon_H158 zenon_H16b zenon_H1f4 zenon_H140 zenon_H1ca zenon_H84 zenon_H15e zenon_Hec zenon_H119 zenon_Ha5 zenon_H1c5 zenon_H70 zenon_H69 zenon_H78 zenon_H19f zenon_H1af zenon_H1cd zenon_H81 zenon_H23 zenon_H14b zenon_H150 zenon_H2d.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.04/11.25 apply (zenon_L151_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.04/11.25 apply (zenon_L269_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.25 apply (zenon_L151_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.25 exact (zenon_H3c zenon_H37).
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.25 apply (zenon_L292_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.25 apply (zenon_L71_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H11f | zenon_intro zenon_H147 ].
% 11.04/11.25 apply (zenon_L269_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H3f | zenon_intro zenon_H148 ].
% 11.04/11.25 apply (zenon_L383_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H12e | zenon_intro zenon_H141 ].
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ].
% 11.04/11.25 apply (zenon_L36_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ].
% 11.04/11.25 apply (zenon_L402_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ].
% 11.04/11.25 apply (zenon_L139_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H31 | zenon_intro zenon_H1ce ].
% 11.04/11.25 exact (zenon_H1af zenon_H31).
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1cf ].
% 11.04/11.25 apply (zenon_L403_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hba | zenon_intro zenon_H68 ].
% 11.04/11.25 apply (zenon_L173_); trivial.
% 11.04/11.25 apply (zenon_L404_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ].
% 11.04/11.25 apply (zenon_L318_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ].
% 11.04/11.25 apply (zenon_L399_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ].
% 11.04/11.25 apply (zenon_L139_); trivial.
% 11.04/11.25 apply (zenon_L405_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.25 apply (zenon_L387_); trivial.
% 11.04/11.25 apply (zenon_L169_); trivial.
% 11.04/11.25 apply (zenon_L422_); trivial.
% 11.04/11.25 (* end of lemma zenon_L423_ *)
% 11.04/11.25 assert (zenon_L424_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H132 zenon_H23 zenon_H163.
% 11.04/11.25 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e3) (e1)))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H132.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H23.
% 11.04/11.25 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H164].
% 11.04/11.25 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 11.04/11.25 congruence.
% 11.04/11.25 apply zenon_H26. apply refl_equal.
% 11.04/11.25 apply zenon_H164. apply sym_equal. exact zenon_H163.
% 11.04/11.25 (* end of lemma zenon_L424_ *)
% 11.04/11.25 assert (zenon_L425_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H158 zenon_H156 zenon_H85.
% 11.04/11.25 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (e0)) = (op (e3) (e2)))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H158.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H156.
% 11.04/11.25 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 11.04/11.25 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 11.04/11.25 congruence.
% 11.04/11.25 apply zenon_Hc7. apply refl_equal.
% 11.04/11.25 apply zenon_H86. apply sym_equal. exact zenon_H85.
% 11.04/11.25 (* end of lemma zenon_L425_ *)
% 11.04/11.25 assert (zenon_L426_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H138 zenon_Hc4 zenon_H133.
% 11.04/11.25 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e3) (e1)))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H138.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_Hc4.
% 11.04/11.25 cut (((e3) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 11.04/11.25 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 11.04/11.25 congruence.
% 11.04/11.25 apply zenon_Hc7. apply refl_equal.
% 11.04/11.25 apply zenon_H134. apply sym_equal. exact zenon_H133.
% 11.04/11.25 (* end of lemma zenon_L426_ *)
% 11.04/11.25 assert (zenon_L427_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H15a zenon_H169 zenon_H68 zenon_H85 zenon_H158 zenon_H95 zenon_H138 zenon_H133.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ].
% 11.04/11.25 apply (zenon_L404_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ].
% 11.04/11.25 apply (zenon_L425_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ].
% 11.04/11.25 apply (zenon_L93_); trivial.
% 11.04/11.25 apply (zenon_L426_); trivial.
% 11.04/11.25 (* end of lemma zenon_L427_ *)
% 11.04/11.25 assert (zenon_L428_ : ((op (e3) (e0)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H156 zenon_H123 zenon_H125.
% 11.04/11.25 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ].
% 11.04/11.25 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e2) (e0)) = (op (e3) (e0)))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H125.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_Hc6.
% 11.04/11.25 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 11.04/11.25 cut (((op (e3) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H151].
% 11.04/11.25 congruence.
% 11.04/11.25 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (e0)) = (op (e2) (e0)))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H151.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H156.
% 11.04/11.25 cut (((e1) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 11.04/11.25 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 11.04/11.25 congruence.
% 11.04/11.25 apply zenon_Hc7. apply refl_equal.
% 11.04/11.25 apply zenon_H124. apply sym_equal. exact zenon_H123.
% 11.04/11.25 apply zenon_Hc7. apply refl_equal.
% 11.04/11.25 apply zenon_Hc7. apply refl_equal.
% 11.04/11.25 (* end of lemma zenon_L428_ *)
% 11.04/11.25 assert (zenon_L429_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H119 zenon_Ha5 zenon_H186 zenon_H11c zenon_H121 zenon_H19f zenon_H9c zenon_H1ca.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ].
% 11.04/11.25 apply (zenon_L406_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ].
% 11.04/11.25 apply (zenon_L277_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ].
% 11.04/11.25 exact (zenon_H19f zenon_H114).
% 11.04/11.25 apply (zenon_L229_); trivial.
% 11.04/11.25 (* end of lemma zenon_L429_ *)
% 11.04/11.25 assert (zenon_L430_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H1f9 zenon_H23 zenon_H22 zenon_H141 zenon_H162 zenon_H1ca zenon_H9c zenon_H19f zenon_H121 zenon_H186 zenon_Ha5 zenon_H119 zenon_H1cc.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H24 | zenon_intro zenon_H1fa ].
% 11.04/11.25 apply (zenon_L2_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H3f | zenon_intro zenon_H1fb ].
% 11.04/11.25 apply (zenon_L381_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_Hca ].
% 11.04/11.25 apply (zenon_L429_); trivial.
% 11.04/11.25 exact (zenon_H1cc zenon_Hca).
% 11.04/11.25 (* end of lemma zenon_L430_ *)
% 11.04/11.25 assert (zenon_L431_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e0)) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H15e zenon_H125 zenon_H123 zenon_H1cc zenon_H119 zenon_Ha5 zenon_H186 zenon_H121 zenon_H19f zenon_H9c zenon_H1ca zenon_H162 zenon_H22 zenon_H23 zenon_H1f9 zenon_Hc3 zenon_H19c zenon_H2d zenon_H68.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.04/11.25 apply (zenon_L428_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.04/11.25 apply (zenon_L430_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.04/11.25 apply (zenon_L167_); trivial.
% 11.04/11.25 apply (zenon_L165_); trivial.
% 11.04/11.25 (* end of lemma zenon_L431_ *)
% 11.04/11.25 assert (zenon_L432_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e0)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H166 zenon_H169 zenon_Hf7 zenon_Hbe zenon_H3d zenon_H9e zenon_H175 zenon_H155 zenon_H158 zenon_H16b zenon_H1f4 zenon_H140 zenon_H84 zenon_Hdc zenon_Hec zenon_H1c5 zenon_H70 zenon_H69 zenon_H78 zenon_H1af zenon_H1cd zenon_H81 zenon_H133 zenon_Hf5 zenon_H20f zenon_He5 zenon_H1f0 zenon_H2d zenon_H19c zenon_H1f9 zenon_H23 zenon_H22 zenon_H162 zenon_H1ca zenon_H9c zenon_H19f zenon_H121 zenon_H186 zenon_Ha5 zenon_H119 zenon_H1cc zenon_H125 zenon_H15e zenon_H10e zenon_H10c zenon_H123 zenon_Ha9.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.04/11.25 apply (zenon_L421_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.04/11.25 apply (zenon_L244_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.04/11.25 apply (zenon_L65_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_Hea | zenon_intro zenon_H210 ].
% 11.04/11.25 apply (zenon_L352_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H211 ].
% 11.04/11.25 apply (zenon_L431_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H10d | zenon_intro zenon_Hcb ].
% 11.04/11.25 apply (zenon_L76_); trivial.
% 11.04/11.25 apply (zenon_L359_); trivial.
% 11.04/11.25 (* end of lemma zenon_L432_ *)
% 11.04/11.25 assert (zenon_L433_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H1b9 zenon_H41 zenon_H175 zenon_H1cc zenon_He9 zenon_H162 zenon_H141 zenon_H22 zenon_H23 zenon_H1f9 zenon_H109 zenon_Ha9 zenon_H140 zenon_H95.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ].
% 11.04/11.25 apply (zenon_L318_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ].
% 11.04/11.25 apply (zenon_L399_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ].
% 11.04/11.25 apply (zenon_L139_); trivial.
% 11.04/11.25 apply (zenon_L174_); trivial.
% 11.04/11.25 (* end of lemma zenon_L433_ *)
% 11.04/11.25 assert (zenon_L434_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e3)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H15e zenon_Hdc zenon_H95 zenon_H140 zenon_Ha9 zenon_H109 zenon_H1f9 zenon_H23 zenon_H22 zenon_H162 zenon_He9 zenon_H1cc zenon_H175 zenon_H41 zenon_H1b9 zenon_Hc3 zenon_H19c zenon_H186 zenon_H69.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.04/11.25 apply (zenon_L294_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.04/11.25 apply (zenon_L433_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.04/11.25 apply (zenon_L167_); trivial.
% 11.04/11.25 apply (zenon_L237_); trivial.
% 11.04/11.25 (* end of lemma zenon_L434_ *)
% 11.04/11.25 assert (zenon_L435_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H119 zenon_Ha5 zenon_H1c5 zenon_H70 zenon_H186 zenon_H69 zenon_H150 zenon_H169 zenon_H78 zenon_H19f zenon_H95 zenon_H16b.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ].
% 11.04/11.25 apply (zenon_L406_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ].
% 11.04/11.25 apply (zenon_L407_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ].
% 11.04/11.25 exact (zenon_H19f zenon_H114).
% 11.04/11.25 apply (zenon_L135_); trivial.
% 11.04/11.25 (* end of lemma zenon_L435_ *)
% 11.04/11.25 assert (zenon_L436_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 11.04/11.25 do 0 intro. intros zenon_Hbe zenon_H3d zenon_H19c zenon_H1b9 zenon_H41 zenon_H175 zenon_H1cc zenon_He9 zenon_H162 zenon_H22 zenon_H23 zenon_H1f9 zenon_H109 zenon_H140 zenon_Hdc zenon_H15e zenon_H123 zenon_Hec zenon_H166 zenon_H16b zenon_H19f zenon_H78 zenon_H69 zenon_H186 zenon_H70 zenon_H1c5 zenon_Ha5 zenon_H119 zenon_H81 zenon_Ha9 zenon_Hf5 zenon_H15a zenon_H169 zenon_H158 zenon_H95 zenon_H138 zenon_H133.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 11.04/11.25 apply (zenon_L284_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 11.04/11.25 apply (zenon_L434_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 11.04/11.25 apply (zenon_L398_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.04/11.25 apply (zenon_L435_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.04/11.25 apply (zenon_L244_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.04/11.25 apply (zenon_L65_); trivial.
% 11.04/11.25 apply (zenon_L427_); trivial.
% 11.04/11.25 (* end of lemma zenon_L436_ *)
% 11.04/11.25 assert (zenon_L437_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H13b zenon_H149 zenon_H19e zenon_Hbe zenon_H3d zenon_H19c zenon_H1b9 zenon_H41 zenon_H175 zenon_H1cc zenon_He9 zenon_H162 zenon_H22 zenon_H23 zenon_H1f9 zenon_H109 zenon_H140 zenon_Hdc zenon_H15e zenon_H123 zenon_Hec zenon_H166 zenon_H16b zenon_H19f zenon_H78 zenon_H69 zenon_H186 zenon_H70 zenon_H1c5 zenon_Ha5 zenon_H119 zenon_H81 zenon_Ha9 zenon_Hf5 zenon_H15a zenon_H169 zenon_H158 zenon_H95 zenon_H138.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.04/11.25 apply (zenon_L292_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.04/11.25 exact (zenon_H1cc zenon_Hca).
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.04/11.25 apply (zenon_L270_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.04/11.25 apply (zenon_L389_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.04/11.25 apply (zenon_L139_); trivial.
% 11.04/11.25 exact (zenon_H19f zenon_H114).
% 11.04/11.25 apply (zenon_L436_); trivial.
% 11.04/11.25 (* end of lemma zenon_L437_ *)
% 11.04/11.25 assert (zenon_L438_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H1b9 zenon_H41 zenon_H175 zenon_He9 zenon_Hdc zenon_H84 zenon_Hf5 zenon_H19c zenon_Hc3 zenon_Ha9 zenon_H1f4 zenon_H1f9 zenon_H23 zenon_H22 zenon_H141 zenon_H162 zenon_H1ca zenon_H19f zenon_H121 zenon_H186 zenon_Ha5 zenon_H119 zenon_H1cc.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ].
% 11.04/11.25 apply (zenon_L318_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ].
% 11.04/11.25 apply (zenon_L399_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ].
% 11.04/11.25 apply (zenon_L315_); trivial.
% 11.04/11.25 apply (zenon_L430_); trivial.
% 11.04/11.25 (* end of lemma zenon_L438_ *)
% 11.04/11.25 assert (zenon_L439_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e0)) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H15e zenon_H1cc zenon_H119 zenon_Ha5 zenon_H186 zenon_H121 zenon_H19f zenon_H1ca zenon_H162 zenon_H22 zenon_H23 zenon_H1f9 zenon_H1f4 zenon_Ha9 zenon_Hf5 zenon_H84 zenon_Hdc zenon_He9 zenon_H175 zenon_H41 zenon_H1b9 zenon_Hc3 zenon_H19c zenon_H2d zenon_H68.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.04/11.25 apply (zenon_L294_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.04/11.25 apply (zenon_L438_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.04/11.25 apply (zenon_L167_); trivial.
% 11.04/11.25 apply (zenon_L165_); trivial.
% 11.04/11.25 (* end of lemma zenon_L439_ *)
% 11.04/11.25 assert (zenon_L440_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H166 zenon_Hc5 zenon_He5 zenon_H132 zenon_H15e zenon_H1cc zenon_H119 zenon_Ha5 zenon_H186 zenon_H121 zenon_H19f zenon_H1ca zenon_H162 zenon_H22 zenon_H23 zenon_H1f9 zenon_H1f4 zenon_Ha9 zenon_Hf5 zenon_H84 zenon_Hdc zenon_He9 zenon_H175 zenon_H41 zenon_H1b9 zenon_Hc3 zenon_H19c zenon_H2d.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.04/11.25 apply (zenon_L127_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.04/11.25 apply (zenon_L424_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.04/11.25 apply (zenon_L65_); trivial.
% 11.04/11.25 apply (zenon_L439_); trivial.
% 11.04/11.25 (* end of lemma zenon_L440_ *)
% 11.04/11.25 assert (zenon_L441_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.04/11.25 do 0 intro. intros zenon_Hd3 zenon_Hc5 zenon_Hc4 zenon_H1cc zenon_Ha9 zenon_H123 zenon_H10c zenon_H149.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.04/11.25 apply (zenon_L43_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.04/11.25 exact (zenon_H1cc zenon_Hca).
% 11.04/11.25 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.04/11.25 apply (zenon_L359_); trivial.
% 11.04/11.25 apply (zenon_L308_); trivial.
% 11.04/11.25 (* end of lemma zenon_L441_ *)
% 11.04/11.25 assert (zenon_L442_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H14b zenon_H3c zenon_H81 zenon_H23 zenon_H175 zenon_H156 zenon_H186 zenon_H38.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.25 exact (zenon_H3c zenon_H37).
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.25 apply (zenon_L292_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.25 apply (zenon_L294_); trivial.
% 11.04/11.25 apply (zenon_L295_); trivial.
% 11.04/11.25 (* end of lemma zenon_L442_ *)
% 11.04/11.25 assert (zenon_L443_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H14b zenon_H3c zenon_H81 zenon_H23 zenon_H38 zenon_H42 zenon_H69 zenon_H73.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.25 exact (zenon_H3c zenon_H37).
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.25 apply (zenon_L292_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.25 apply (zenon_L71_); trivial.
% 11.04/11.25 apply (zenon_L258_); trivial.
% 11.04/11.25 (* end of lemma zenon_L443_ *)
% 11.04/11.25 assert (zenon_L444_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H235 zenon_Ha9 zenon_Hf7 zenon_H186 zenon_Hb9 zenon_H19f zenon_H73 zenon_H75.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_Hba | zenon_intro zenon_H236 ].
% 11.04/11.25 apply (zenon_L173_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H18e | zenon_intro zenon_H237 ].
% 11.04/11.25 apply (zenon_L182_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H114 | zenon_intro zenon_H74 ].
% 11.04/11.25 exact (zenon_H19f zenon_H114).
% 11.04/11.25 apply (zenon_L23_); trivial.
% 11.04/11.25 (* end of lemma zenon_L444_ *)
% 11.04/11.25 assert (zenon_L445_ : ((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> ((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3))) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H1d8 zenon_H173 zenon_Hdd zenon_Ha5 zenon_H2d zenon_H14b zenon_H73 zenon_H69 zenon_H38 zenon_H81 zenon_H3c zenon_H235 zenon_H75 zenon_Hb9 zenon_Ha9 zenon_Hf7 zenon_H219 zenon_H175 zenon_H109 zenon_H1a4 zenon_H238.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ].
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ].
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.04/11.25 apply (zenon_L312_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.04/11.25 apply (zenon_L151_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.04/11.25 apply (zenon_L269_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.04/11.25 apply (zenon_L443_); trivial.
% 11.04/11.25 apply (zenon_L444_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.04/11.25 apply (zenon_L155_); trivial.
% 11.04/11.25 exact (zenon_H1af zenon_H31).
% 11.04/11.25 exact (zenon_H1a4 zenon_H65).
% 11.04/11.25 exact (zenon_H3c zenon_H37).
% 11.04/11.25 (* end of lemma zenon_L445_ *)
% 11.04/11.25 assert (zenon_L446_ : ((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H238 zenon_Ha9 zenon_H81 zenon_H114.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ].
% 11.04/11.25 exact (zenon_H19f zenon_H114).
% 11.04/11.25 apply (zenon_L53_); trivial.
% 11.04/11.25 (* end of lemma zenon_L446_ *)
% 11.04/11.25 assert (zenon_L447_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H23 zenon_H2c zenon_H88.
% 11.04/11.25 elim (classic ((op (e0) (e1)) = (op (e0) (e1)))); [ zenon_intro zenon_H239 | zenon_intro zenon_H26 ].
% 11.04/11.25 cut (((op (e0) (e1)) = (op (e0) (e1))) = ((op (e0) (e0)) = (op (e0) (e1)))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H88.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H239.
% 11.04/11.25 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 11.04/11.25 cut (((op (e0) (e1)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H23a].
% 11.04/11.25 congruence.
% 11.04/11.25 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e0) (e0)))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H23a.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H23.
% 11.04/11.25 cut (((e0) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.04/11.25 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 11.04/11.25 congruence.
% 11.04/11.25 apply zenon_H26. apply refl_equal.
% 11.04/11.25 apply zenon_H36. apply sym_equal. exact zenon_H2c.
% 11.04/11.25 apply zenon_H26. apply refl_equal.
% 11.04/11.25 apply zenon_H26. apply refl_equal.
% 11.04/11.25 (* end of lemma zenon_L447_ *)
% 11.04/11.25 assert (zenon_L448_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (e2))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H119 zenon_H149 zenon_H101 zenon_Ha5 zenon_H6f zenon_H19f zenon_H109 zenon_H68.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ].
% 11.04/11.25 apply (zenon_L184_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ].
% 11.04/11.25 apply (zenon_L78_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ].
% 11.04/11.25 exact (zenon_H19f zenon_H114).
% 11.04/11.25 apply (zenon_L129_); trivial.
% 11.04/11.25 (* end of lemma zenon_L448_ *)
% 11.04/11.25 assert (zenon_L449_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H1a9 zenon_H186 zenon_H6f.
% 11.04/11.25 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H1a9.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H186.
% 11.04/11.25 cut (((e1) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H72].
% 11.04/11.25 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 11.04/11.25 congruence.
% 11.04/11.25 apply zenon_H34. apply refl_equal.
% 11.04/11.25 apply zenon_H72. apply sym_equal. exact zenon_H6f.
% 11.04/11.25 (* end of lemma zenon_L449_ *)
% 11.04/11.25 assert (zenon_L450_ : (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H22e zenon_H1f zenon_H6f.
% 11.04/11.25 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e1) (e3)))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H22e.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H1f.
% 11.04/11.25 cut (((e1) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H72].
% 11.04/11.25 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f1].
% 11.04/11.25 congruence.
% 11.04/11.25 apply zenon_H1f1. apply refl_equal.
% 11.04/11.25 apply zenon_H72. apply sym_equal. exact zenon_H6f.
% 11.04/11.25 (* end of lemma zenon_L450_ *)
% 11.04/11.25 assert (zenon_L451_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3))) -> ((op (e1) (e3)) = (e1)) -> ((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3))) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H23b zenon_H1d7 zenon_H173 zenon_Hdd zenon_H88 zenon_H219 zenon_H1a9 zenon_H41 zenon_Hd9 zenon_Ha9 zenon_H158 zenon_H225 zenon_H38 zenon_H3c zenon_H14b zenon_H132 zenon_Hf5 zenon_H119 zenon_H149 zenon_H166 zenon_H81 zenon_H1da zenon_H2d zenon_Ha5 zenon_Hec zenon_H22e zenon_H1f7 zenon_H16f zenon_H175 zenon_H109 zenon_H238 zenon_H6f zenon_H1d8.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H114 ].
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ].
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ].
% 11.04/11.25 exact (zenon_H199 zenon_H6f).
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ].
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.04/11.25 apply (zenon_L312_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.04/11.25 apply (zenon_L447_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.04/11.25 apply (zenon_L151_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.04/11.25 apply (zenon_L269_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.25 apply (zenon_L11_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.25 apply (zenon_L56_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.25 apply (zenon_L387_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.25 exact (zenon_H3c zenon_H37).
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.25 apply (zenon_L292_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.25 apply (zenon_L294_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.04/11.25 apply (zenon_L169_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.04/11.25 apply (zenon_L424_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.04/11.25 apply (zenon_L65_); trivial.
% 11.04/11.25 apply (zenon_L448_); trivial.
% 11.04/11.25 apply (zenon_L449_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.04/11.25 apply (zenon_L60_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.04/11.25 apply (zenon_L151_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.04/11.25 apply (zenon_L269_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.25 apply (zenon_L11_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.25 apply (zenon_L450_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.25 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.04/11.25 exact (zenon_H3c zenon_H37).
% 11.04/11.25 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.04/11.25 apply (zenon_L321_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.04/11.25 apply (zenon_L350_); trivial.
% 11.04/11.25 apply (zenon_L116_); trivial.
% 11.04/11.25 apply (zenon_L169_); trivial.
% 11.04/11.25 apply (zenon_L449_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.04/11.25 apply (zenon_L155_); trivial.
% 11.04/11.25 exact (zenon_H1af zenon_H31).
% 11.04/11.25 exact (zenon_H1a4 zenon_H65).
% 11.04/11.25 exact (zenon_H3c zenon_H37).
% 11.04/11.25 apply (zenon_L446_); trivial.
% 11.04/11.25 (* end of lemma zenon_L451_ *)
% 11.04/11.25 assert (zenon_L452_ : ((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H1d8 zenon_H175 zenon_H149 zenon_H31.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ].
% 11.04/11.25 exact (zenon_H1af zenon_H31).
% 11.04/11.25 apply (zenon_L291_); trivial.
% 11.04/11.25 (* end of lemma zenon_L452_ *)
% 11.04/11.25 assert (zenon_L453_ : (~((op (e0) (op (e0) (e0))) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H23c zenon_H37.
% 11.04/11.25 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 11.04/11.25 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.25 congruence.
% 11.04/11.25 apply zenon_H2b. apply refl_equal.
% 11.04/11.25 exact (zenon_H3c zenon_H37).
% 11.04/11.25 (* end of lemma zenon_L453_ *)
% 11.04/11.25 assert (zenon_L454_ : ((op (e0) (e3)) = (e2)) -> ((op (e0) (e0)) = (e3)) -> (~((e2) = (op (e0) (op (e0) (e0))))) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H108 zenon_H37 zenon_H47.
% 11.04/11.25 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ].
% 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((e2) = (op (e0) (op (e0) (e0))))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H47.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H48.
% 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 11.04/11.25 congruence.
% 11.04/11.25 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (op (e0) (e0))) = (e2))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H4a.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H108.
% 11.04/11.25 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.04/11.25 cut (((op (e0) (e3)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H23d].
% 11.04/11.25 congruence.
% 11.04/11.25 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ].
% 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e3)) = (op (e0) (op (e0) (e0))))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H23d.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H48.
% 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H23c].
% 11.04/11.25 congruence.
% 11.04/11.25 apply (zenon_L453_); trivial.
% 11.04/11.25 apply zenon_H49. apply refl_equal.
% 11.04/11.25 apply zenon_H49. apply refl_equal.
% 11.04/11.25 apply zenon_H45. apply refl_equal.
% 11.04/11.25 apply zenon_H49. apply refl_equal.
% 11.04/11.25 apply zenon_H49. apply refl_equal.
% 11.04/11.25 (* end of lemma zenon_L454_ *)
% 11.04/11.25 assert (zenon_L455_ : ((op (e2) (e0)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H123 zenon_H108 zenon_H37.
% 11.04/11.25 apply (zenon_notand_s _ _ ax10); [ zenon_intro zenon_H23f | zenon_intro zenon_H23e ].
% 11.04/11.25 apply zenon_H23f. apply sym_equal. exact zenon_H37.
% 11.04/11.25 apply (zenon_notand_s _ _ zenon_H23e); [ zenon_intro zenon_H1ed | zenon_intro zenon_H47 ].
% 11.04/11.25 elim (classic ((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ].
% 11.04/11.25 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0))) = ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H1ed.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H50.
% 11.04/11.25 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 11.04/11.25 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1ee].
% 11.04/11.25 congruence.
% 11.04/11.25 cut (((op (e2) (e0)) = (e1)) = ((op (op (e0) (op (e0) (e0))) (e0)) = (e1))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H1ee.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H123.
% 11.04/11.25 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.25 cut (((op (e2) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 11.04/11.25 congruence.
% 11.04/11.25 elim (classic ((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ].
% 11.04/11.25 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0))) = ((op (e2) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H53.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H50.
% 11.04/11.25 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 11.04/11.25 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 11.04/11.25 congruence.
% 11.04/11.25 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 11.04/11.25 congruence.
% 11.04/11.25 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (op (e0) (e0))) = (e2))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H4a.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H108.
% 11.04/11.25 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.04/11.25 cut (((op (e0) (e3)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H23d].
% 11.04/11.25 congruence.
% 11.04/11.25 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ].
% 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e3)) = (op (e0) (op (e0) (e0))))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H23d.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H48.
% 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H23c].
% 11.04/11.25 congruence.
% 11.04/11.25 apply (zenon_L453_); trivial.
% 11.04/11.25 apply zenon_H49. apply refl_equal.
% 11.04/11.25 apply zenon_H49. apply refl_equal.
% 11.04/11.25 apply zenon_H45. apply refl_equal.
% 11.04/11.25 apply zenon_H2b. apply refl_equal.
% 11.04/11.25 apply zenon_H51. apply refl_equal.
% 11.04/11.25 apply zenon_H51. apply refl_equal.
% 11.04/11.25 apply zenon_H2f. apply refl_equal.
% 11.04/11.25 apply zenon_H51. apply refl_equal.
% 11.04/11.25 apply zenon_H51. apply refl_equal.
% 11.04/11.25 apply (zenon_L454_); trivial.
% 11.04/11.25 (* end of lemma zenon_L455_ *)
% 11.04/11.25 assert (zenon_L456_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (op (e0) (op (e0) (e0))))) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H186 zenon_H37 zenon_H1df.
% 11.04/11.25 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ].
% 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((e1) = (op (e0) (op (e0) (e0))))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H1df.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H48.
% 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1e0].
% 11.04/11.25 congruence.
% 11.04/11.25 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (op (e0) (e0))) = (e1))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H1e0.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H186.
% 11.04/11.25 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.25 cut (((op (e0) (e3)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H23d].
% 11.04/11.25 congruence.
% 11.04/11.25 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ].
% 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e3)) = (op (e0) (op (e0) (e0))))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H23d.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H48.
% 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H23c].
% 11.04/11.25 congruence.
% 11.04/11.25 apply (zenon_L453_); trivial.
% 11.04/11.25 apply zenon_H49. apply refl_equal.
% 11.04/11.25 apply zenon_H49. apply refl_equal.
% 11.04/11.25 apply zenon_H2f. apply refl_equal.
% 11.04/11.25 apply zenon_H49. apply refl_equal.
% 11.04/11.25 apply zenon_H49. apply refl_equal.
% 11.04/11.25 (* end of lemma zenon_L456_ *)
% 11.04/11.25 assert (zenon_L457_ : ((op (e1) (e0)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H57 zenon_H186 zenon_H37.
% 11.04/11.25 apply (zenon_notand_s _ _ ax11); [ zenon_intro zenon_H23f | zenon_intro zenon_H240 ].
% 11.04/11.25 apply zenon_H23f. apply sym_equal. exact zenon_H37.
% 11.04/11.25 apply (zenon_notand_s _ _ zenon_H240); [ zenon_intro zenon_H8f | zenon_intro zenon_H1df ].
% 11.04/11.25 elim (classic ((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ].
% 11.04/11.25 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0))) = ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H8f.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H50.
% 11.04/11.25 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 11.04/11.25 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 11.04/11.25 congruence.
% 11.04/11.25 cut (((op (e1) (e0)) = (e2)) = ((op (op (e0) (op (e0) (e0))) (e0)) = (e2))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H90.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H57.
% 11.04/11.25 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.04/11.25 cut (((op (e1) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1e4].
% 11.04/11.25 congruence.
% 11.04/11.25 elim (classic ((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ].
% 11.04/11.25 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0))) = ((op (e1) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H1e4.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H50.
% 11.04/11.25 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 11.04/11.25 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1e5].
% 11.04/11.25 congruence.
% 11.04/11.25 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1e0].
% 11.04/11.25 congruence.
% 11.04/11.25 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (op (e0) (e0))) = (e1))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H1e0.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H186.
% 11.04/11.25 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.25 cut (((op (e0) (e3)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H23d].
% 11.04/11.25 congruence.
% 11.04/11.25 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ].
% 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e3)) = (op (e0) (op (e0) (e0))))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H23d.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H48.
% 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H23c].
% 11.04/11.25 congruence.
% 11.04/11.25 apply (zenon_L453_); trivial.
% 11.04/11.25 apply zenon_H49. apply refl_equal.
% 11.04/11.25 apply zenon_H49. apply refl_equal.
% 11.04/11.25 apply zenon_H2f. apply refl_equal.
% 11.04/11.25 apply zenon_H2b. apply refl_equal.
% 11.04/11.25 apply zenon_H51. apply refl_equal.
% 11.04/11.25 apply zenon_H51. apply refl_equal.
% 11.04/11.25 apply zenon_H45. apply refl_equal.
% 11.04/11.25 apply zenon_H51. apply refl_equal.
% 11.04/11.25 apply zenon_H51. apply refl_equal.
% 11.04/11.25 apply (zenon_L456_); trivial.
% 11.04/11.25 (* end of lemma zenon_L457_ *)
% 11.04/11.25 assert (zenon_L458_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e2) (e0)) = (e2))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H172 zenon_H37 zenon_H186 zenon_H14e zenon_Hc4 zenon_H149.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.04/11.25 apply (zenon_L291_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.04/11.25 apply (zenon_L457_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.04/11.25 exact (zenon_H14e zenon_H103).
% 11.04/11.25 apply (zenon_L110_); trivial.
% 11.04/11.25 (* end of lemma zenon_L458_ *)
% 11.04/11.25 assert (zenon_L459_ : (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H241 zenon_H23 zenon_He3.
% 11.04/11.25 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e0) (e2)))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H241.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H23.
% 11.04/11.25 cut (((e0) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H242].
% 11.04/11.25 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 11.04/11.25 congruence.
% 11.04/11.25 apply zenon_H26. apply refl_equal.
% 11.04/11.25 apply zenon_H242. apply sym_equal. exact zenon_He3.
% 11.04/11.25 (* end of lemma zenon_L459_ *)
% 11.04/11.25 assert (zenon_L460_ : (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e1)) = (e0)) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H12a zenon_H80 zenon_Ha2.
% 11.04/11.25 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e2) (e1)))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H12a.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H80.
% 11.04/11.25 cut (((e0) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 11.04/11.25 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed].
% 11.04/11.25 congruence.
% 11.04/11.25 apply zenon_Hed. apply refl_equal.
% 11.04/11.25 apply zenon_Ha3. apply sym_equal. exact zenon_Ha2.
% 11.04/11.25 (* end of lemma zenon_L460_ *)
% 11.04/11.25 assert (zenon_L461_ : ((op (e3) (e0)) = (e3)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False).
% 11.04/11.25 do 0 intro. intros zenon_Hc4 zenon_H4c zenon_H125.
% 11.04/11.25 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ].
% 11.04/11.25 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e2) (e0)) = (op (e3) (e0)))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H125.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_Hc6.
% 11.04/11.25 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 11.04/11.25 cut (((op (e3) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H151].
% 11.04/11.25 congruence.
% 11.04/11.25 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e2) (e0)))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H151.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_Hc4.
% 11.04/11.25 cut (((e3) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1d1].
% 11.04/11.25 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 11.04/11.25 congruence.
% 11.04/11.25 apply zenon_Hc7. apply refl_equal.
% 11.04/11.25 apply zenon_H1d1. apply sym_equal. exact zenon_H4c.
% 11.04/11.25 apply zenon_Hc7. apply refl_equal.
% 11.04/11.25 apply zenon_Hc7. apply refl_equal.
% 11.04/11.25 (* end of lemma zenon_L461_ *)
% 11.04/11.25 assert (zenon_L462_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H127 zenon_Ha2 zenon_H12a zenon_H1e zenon_H122 zenon_H14e zenon_Hc4 zenon_H125.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ].
% 11.04/11.25 apply (zenon_L460_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ].
% 11.04/11.25 apply (zenon_L83_); trivial.
% 11.04/11.25 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ].
% 11.04/11.25 exact (zenon_H14e zenon_H103).
% 11.04/11.25 apply (zenon_L461_); trivial.
% 11.04/11.25 (* end of lemma zenon_L462_ *)
% 11.04/11.25 assert (zenon_L463_ : ((op (e3) (e3)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 11.04/11.25 do 0 intro. intros zenon_H68 zenon_H163 zenon_H16b.
% 11.04/11.25 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ].
% 11.04/11.25 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e1)) = (op (e3) (e3)))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H16b.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H6a.
% 11.04/11.25 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.25 cut (((op (e3) (e3)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16c].
% 11.04/11.25 congruence.
% 11.04/11.25 cut (((op (e3) (e3)) = (e0)) = ((op (e3) (e3)) = (op (e3) (e1)))).
% 11.04/11.25 intro zenon_D_pnotp.
% 11.04/11.25 apply zenon_H16c.
% 11.04/11.25 rewrite <- zenon_D_pnotp.
% 11.04/11.25 exact zenon_H68.
% 11.04/11.25 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H164].
% 11.04/11.25 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.25 congruence.
% 11.04/11.25 apply zenon_H6b. apply refl_equal.
% 11.04/11.25 apply zenon_H164. apply sym_equal. exact zenon_H163.
% 11.04/11.26 apply zenon_H6b. apply refl_equal.
% 11.04/11.26 apply zenon_H6b. apply refl_equal.
% 11.04/11.26 (* end of lemma zenon_L463_ *)
% 11.04/11.26 assert (zenon_L464_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H1fc zenon_He3 zenon_H241 zenon_H56 zenon_H125 zenon_Hc4 zenon_H14e zenon_H122 zenon_H1e zenon_H12a zenon_H127 zenon_H68 zenon_H16b.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.04/11.26 apply (zenon_L459_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.04/11.26 exact (zenon_H56 zenon_H24).
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.04/11.26 apply (zenon_L462_); trivial.
% 11.04/11.26 apply (zenon_L463_); trivial.
% 11.04/11.26 (* end of lemma zenon_L464_ *)
% 11.04/11.26 assert (zenon_L465_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H11f zenon_H1e zenon_H88.
% 11.04/11.26 elim (classic ((op (e0) (e1)) = (op (e0) (e1)))); [ zenon_intro zenon_H239 | zenon_intro zenon_H26 ].
% 11.04/11.26 cut (((op (e0) (e1)) = (op (e0) (e1))) = ((op (e0) (e0)) = (op (e0) (e1)))).
% 11.04/11.26 intro zenon_D_pnotp.
% 11.04/11.26 apply zenon_H88.
% 11.04/11.26 rewrite <- zenon_D_pnotp.
% 11.04/11.26 exact zenon_H239.
% 11.04/11.26 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 11.04/11.26 cut (((op (e0) (e1)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H23a].
% 11.04/11.26 congruence.
% 11.04/11.26 cut (((op (e0) (e1)) = (e1)) = ((op (e0) (e1)) = (op (e0) (e0)))).
% 11.04/11.26 intro zenon_D_pnotp.
% 11.04/11.26 apply zenon_H23a.
% 11.04/11.26 rewrite <- zenon_D_pnotp.
% 11.04/11.26 exact zenon_H11f.
% 11.04/11.26 cut (((e1) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 11.04/11.26 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 11.04/11.26 congruence.
% 11.04/11.26 apply zenon_H26. apply refl_equal.
% 11.04/11.26 apply zenon_H4e. apply sym_equal. exact zenon_H1e.
% 11.04/11.26 apply zenon_H26. apply refl_equal.
% 11.04/11.26 apply zenon_H26. apply refl_equal.
% 11.04/11.26 (* end of lemma zenon_L465_ *)
% 11.04/11.26 assert (zenon_L466_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H180 zenon_H149 zenon_Ha5 zenon_H11f zenon_H109 zenon_He3 zenon_H123 zenon_H37.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.04/11.26 apply (zenon_L291_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.04/11.26 apply (zenon_L81_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.04/11.26 apply (zenon_L206_); trivial.
% 11.04/11.26 apply (zenon_L455_); trivial.
% 11.04/11.26 (* end of lemma zenon_L466_ *)
% 11.04/11.26 assert (zenon_L467_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.04/11.26 do 0 intro. intros zenon_He3 zenon_H42 zenon_H2d.
% 11.04/11.26 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 11.04/11.26 cut (((e1) = (e1)) = ((e0) = (e1))).
% 11.04/11.26 intro zenon_D_pnotp.
% 11.04/11.26 apply zenon_H2d.
% 11.04/11.26 rewrite <- zenon_D_pnotp.
% 11.04/11.26 exact zenon_H2e.
% 11.04/11.26 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.26 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 11.04/11.26 congruence.
% 11.04/11.26 cut (((op (e0) (e2)) = (e0)) = ((e1) = (e0))).
% 11.04/11.26 intro zenon_D_pnotp.
% 11.04/11.26 apply zenon_H30.
% 11.04/11.26 rewrite <- zenon_D_pnotp.
% 11.04/11.26 exact zenon_He3.
% 11.04/11.26 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.26 cut (((op (e0) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H243].
% 11.04/11.26 congruence.
% 11.04/11.26 exact (zenon_H243 zenon_H42).
% 11.04/11.26 apply zenon_H2b. apply refl_equal.
% 11.04/11.26 apply zenon_H2f. apply refl_equal.
% 11.04/11.26 apply zenon_H2f. apply refl_equal.
% 11.04/11.26 (* end of lemma zenon_L467_ *)
% 11.04/11.26 assert (zenon_L468_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e0)) = (e3)) -> (~((e0) = (e3))) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H2c zenon_H37 zenon_H81.
% 11.04/11.26 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 11.04/11.26 cut (((e3) = (e3)) = ((e0) = (e3))).
% 11.04/11.26 intro zenon_D_pnotp.
% 11.04/11.26 apply zenon_H81.
% 11.04/11.26 rewrite <- zenon_D_pnotp.
% 11.04/11.26 exact zenon_H39.
% 11.04/11.26 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.26 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 11.04/11.26 congruence.
% 11.04/11.26 cut (((op (e0) (e0)) = (e0)) = ((e3) = (e0))).
% 11.04/11.26 intro zenon_D_pnotp.
% 11.04/11.26 apply zenon_H82.
% 11.04/11.26 rewrite <- zenon_D_pnotp.
% 11.04/11.26 exact zenon_H2c.
% 11.04/11.26 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.26 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 11.04/11.26 congruence.
% 11.04/11.26 exact (zenon_H3c zenon_H37).
% 11.04/11.26 apply zenon_H2b. apply refl_equal.
% 11.04/11.26 apply zenon_H3a. apply refl_equal.
% 11.04/11.26 apply zenon_H3a. apply refl_equal.
% 11.04/11.26 (* end of lemma zenon_L468_ *)
% 11.04/11.26 assert (zenon_L469_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e3) (e1)) = (e3))) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H13b zenon_H37 zenon_H88 zenon_H81 zenon_H24 zenon_H57 zenon_H145.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.04/11.26 apply (zenon_L28_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.04/11.26 apply (zenon_L44_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.04/11.26 apply (zenon_L19_); trivial.
% 11.04/11.26 exact (zenon_H145 zenon_H133).
% 11.04/11.26 (* end of lemma zenon_L469_ *)
% 11.04/11.26 assert (zenon_L470_ : (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e2) (e0)) = (e3)) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H122 zenon_H37 zenon_H4c.
% 11.04/11.26 cut (((op (e0) (e0)) = (e3)) = ((op (e0) (e0)) = (op (e2) (e0)))).
% 11.04/11.26 intro zenon_D_pnotp.
% 11.04/11.26 apply zenon_H122.
% 11.04/11.26 rewrite <- zenon_D_pnotp.
% 11.04/11.26 exact zenon_H37.
% 11.04/11.26 cut (((e3) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1d1].
% 11.04/11.26 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 11.04/11.26 congruence.
% 11.04/11.26 apply zenon_H21. apply refl_equal.
% 11.04/11.26 apply zenon_H1d1. apply sym_equal. exact zenon_H4c.
% 11.04/11.26 (* end of lemma zenon_L470_ *)
% 11.04/11.26 assert (zenon_L471_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H127 zenon_Ha2 zenon_H12a zenon_H125 zenon_H156 zenon_H104 zenon_H57 zenon_H122 zenon_H37.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ].
% 11.04/11.26 apply (zenon_L460_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ].
% 11.04/11.26 apply (zenon_L428_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ].
% 11.04/11.26 apply (zenon_L74_); trivial.
% 11.04/11.26 apply (zenon_L470_); trivial.
% 11.04/11.26 (* end of lemma zenon_L471_ *)
% 11.04/11.26 assert (zenon_L472_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False).
% 11.04/11.26 do 0 intro. intros zenon_Hf8 zenon_He3 zenon_Hdd zenon_H67 zenon_Hcc zenon_H10d zenon_H5d zenon_H143.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ].
% 11.04/11.26 apply (zenon_L155_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ].
% 11.04/11.26 exact (zenon_H67 zenon_H66).
% 11.04/11.26 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ].
% 11.04/11.26 apply (zenon_L140_); trivial.
% 11.04/11.26 apply (zenon_L99_); trivial.
% 11.04/11.26 (* end of lemma zenon_L472_ *)
% 11.04/11.26 assert (zenon_L473_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False).
% 11.04/11.26 do 0 intro. intros zenon_Hf8 zenon_He3 zenon_Hdd zenon_H67 zenon_H9c zenon_Hf5 zenon_H5d zenon_H143.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ].
% 11.04/11.26 apply (zenon_L155_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ].
% 11.04/11.26 exact (zenon_H67 zenon_H66).
% 11.04/11.26 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ].
% 11.04/11.26 apply (zenon_L163_); trivial.
% 11.04/11.26 apply (zenon_L99_); trivial.
% 11.04/11.26 (* end of lemma zenon_L473_ *)
% 11.04/11.26 assert (zenon_L474_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H1b9 zenon_H109 zenon_Hcc zenon_H103 zenon_Hec zenon_Hf8 zenon_He3 zenon_Hdd zenon_H67 zenon_Hf5 zenon_H5d zenon_H143.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ].
% 11.04/11.26 apply (zenon_L206_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ].
% 11.04/11.26 apply (zenon_L472_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ].
% 11.04/11.26 apply (zenon_L143_); trivial.
% 11.04/11.26 apply (zenon_L473_); trivial.
% 11.04/11.26 (* end of lemma zenon_L474_ *)
% 11.04/11.26 assert (zenon_L475_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H13b zenon_H37 zenon_H88 zenon_H11c zenon_H149 zenon_H143 zenon_Hf5 zenon_H67 zenon_Hdd zenon_He3 zenon_Hf8 zenon_Hec zenon_H103 zenon_Hcc zenon_H109 zenon_H1b9 zenon_H145.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.04/11.26 apply (zenon_L28_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.04/11.26 apply (zenon_L285_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.04/11.26 apply (zenon_L474_); trivial.
% 11.04/11.26 exact (zenon_H145 zenon_H133).
% 11.04/11.26 (* end of lemma zenon_L475_ *)
% 11.04/11.26 assert (zenon_L476_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H13b zenon_H37 zenon_H88 zenon_Hcb zenon_He9 zenon_H143 zenon_H10d zenon_Hcc zenon_H67 zenon_Hdd zenon_He3 zenon_Hf8 zenon_H145.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.04/11.26 apply (zenon_L28_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.04/11.26 apply (zenon_L303_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.04/11.26 apply (zenon_L472_); trivial.
% 11.04/11.26 exact (zenon_H145 zenon_H133).
% 11.04/11.26 (* end of lemma zenon_L476_ *)
% 11.04/11.26 assert (zenon_L477_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H13b zenon_H38 zenon_H11f zenon_Hd1 zenon_H121 zenon_H143 zenon_H10d zenon_Hcc zenon_H67 zenon_Hdd zenon_He3 zenon_Hf8 zenon_H145.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.04/11.26 apply (zenon_L296_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.04/11.26 apply (zenon_L338_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.04/11.26 apply (zenon_L472_); trivial.
% 11.04/11.26 exact (zenon_H145 zenon_H133).
% 11.04/11.26 (* end of lemma zenon_L477_ *)
% 11.04/11.26 assert (zenon_L478_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H1a9 zenon_H108 zenon_H10c.
% 11.04/11.26 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 11.04/11.26 intro zenon_D_pnotp.
% 11.04/11.26 apply zenon_H1a9.
% 11.04/11.26 rewrite <- zenon_D_pnotp.
% 11.04/11.26 exact zenon_H108.
% 11.04/11.26 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1a8].
% 11.04/11.26 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 11.04/11.26 congruence.
% 11.04/11.26 apply zenon_H34. apply refl_equal.
% 11.04/11.26 apply zenon_H1a8. apply sym_equal. exact zenon_H10c.
% 11.04/11.26 (* end of lemma zenon_L478_ *)
% 11.04/11.26 assert (zenon_L479_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H14b zenon_H123 zenon_H22 zenon_Hca zenon_H81 zenon_He3 zenon_H108 zenon_H149.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.26 apply (zenon_L455_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.26 apply (zenon_L57_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.26 apply (zenon_L183_); trivial.
% 11.04/11.26 apply (zenon_L184_); trivial.
% 11.04/11.26 (* end of lemma zenon_L479_ *)
% 11.04/11.26 assert (zenon_L480_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H20c zenon_H1a7 zenon_H22e zenon_Hc5 zenon_H122 zenon_H104 zenon_H156 zenon_H125 zenon_H12a zenon_Ha2 zenon_H127 zenon_H1d zenon_H37.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_He5 | zenon_intro zenon_H20d ].
% 11.04/11.26 apply (zenon_L392_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f | zenon_intro zenon_H20e ].
% 11.04/11.26 apply (zenon_L310_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H57 | zenon_intro zenon_H3d ].
% 11.04/11.26 apply (zenon_L471_); trivial.
% 11.04/11.26 apply (zenon_L348_); trivial.
% 11.04/11.26 (* end of lemma zenon_L480_ *)
% 11.04/11.26 assert (zenon_L481_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H1dd zenon_He3 zenon_Hea.
% 11.04/11.26 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e1) (e2)))).
% 11.04/11.26 intro zenon_D_pnotp.
% 11.04/11.26 apply zenon_H1dd.
% 11.04/11.26 rewrite <- zenon_D_pnotp.
% 11.04/11.26 exact zenon_He3.
% 11.04/11.26 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Heb].
% 11.04/11.26 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 11.04/11.26 congruence.
% 11.04/11.26 apply zenon_H87. apply refl_equal.
% 11.04/11.26 apply zenon_Heb. apply sym_equal. exact zenon_Hea.
% 11.04/11.26 (* end of lemma zenon_L481_ *)
% 11.04/11.26 assert (zenon_L482_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H132 zenon_H11f zenon_H141.
% 11.04/11.26 cut (((op (e0) (e1)) = (e1)) = ((op (e0) (e1)) = (op (e3) (e1)))).
% 11.04/11.26 intro zenon_D_pnotp.
% 11.04/11.26 apply zenon_H132.
% 11.04/11.26 rewrite <- zenon_D_pnotp.
% 11.04/11.26 exact zenon_H11f.
% 11.04/11.26 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H159].
% 11.04/11.26 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 11.04/11.26 congruence.
% 11.04/11.26 apply zenon_H26. apply refl_equal.
% 11.04/11.26 apply zenon_H159. apply sym_equal. exact zenon_H141.
% 11.04/11.26 (* end of lemma zenon_L482_ *)
% 11.04/11.26 assert (zenon_L483_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H20c zenon_H80 zenon_H123 zenon_H104 zenon_H186 zenon_H1d zenon_H37.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_He5 | zenon_intro zenon_H20d ].
% 11.04/11.26 apply (zenon_L154_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f | zenon_intro zenon_H20e ].
% 11.04/11.26 apply (zenon_L347_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H57 | zenon_intro zenon_H3d ].
% 11.04/11.26 apply (zenon_L457_); trivial.
% 11.04/11.26 apply (zenon_L348_); trivial.
% 11.04/11.26 (* end of lemma zenon_L483_ *)
% 11.04/11.26 assert (zenon_L484_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H20c zenon_H104 zenon_H80 zenon_H156 zenon_Hc5 zenon_H186 zenon_H1d zenon_H37.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_He5 | zenon_intro zenon_H20d ].
% 11.04/11.26 apply (zenon_L154_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f | zenon_intro zenon_H20e ].
% 11.04/11.26 apply (zenon_L310_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H57 | zenon_intro zenon_H3d ].
% 11.04/11.26 apply (zenon_L457_); trivial.
% 11.04/11.26 apply (zenon_L348_); trivial.
% 11.04/11.26 (* end of lemma zenon_L484_ *)
% 11.04/11.26 assert (zenon_L485_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H219 zenon_H132 zenon_H200 zenon_H81 zenon_H88 zenon_H13b zenon_H1dd zenon_H70 zenon_H1da zenon_H2a zenon_H145 zenon_H138 zenon_H140 zenon_H68 zenon_H16b zenon_H170 zenon_H67 zenon_H1f0 zenon_He3 zenon_H2d zenon_Hbe zenon_H109 zenon_Ha5 zenon_H149 zenon_H172 zenon_H20c zenon_H104 zenon_H80 zenon_Hc5 zenon_H1d zenon_H37.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.04/11.26 exact (zenon_H2a zenon_H1e).
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.04/11.26 apply (zenon_L291_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.04/11.26 apply (zenon_L154_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.04/11.26 apply (zenon_L469_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.04/11.26 apply (zenon_L481_); trivial.
% 11.04/11.26 apply (zenon_L228_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.04/11.26 apply (zenon_L109_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H163 | zenon_intro zenon_H17d ].
% 11.04/11.26 apply (zenon_L463_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H141 | zenon_intro zenon_H17e ].
% 11.04/11.26 apply (zenon_L482_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H95 | zenon_intro zenon_H133 ].
% 11.04/11.26 apply (zenon_L93_); trivial.
% 11.04/11.26 exact (zenon_H145 zenon_H133).
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.04/11.26 apply (zenon_L467_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.26 exact (zenon_H2a zenon_H1e).
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.04/11.26 apply (zenon_L291_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.04/11.26 apply (zenon_L224_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.04/11.26 apply (zenon_L109_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 11.04/11.26 apply (zenon_L467_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 11.04/11.26 apply (zenon_L305_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 11.04/11.26 exact (zenon_H67 zenon_H66).
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H163 | zenon_intro zenon_H17d ].
% 11.04/11.26 apply (zenon_L463_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H141 | zenon_intro zenon_H17e ].
% 11.04/11.26 apply (zenon_L96_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H95 | zenon_intro zenon_H133 ].
% 11.04/11.26 apply (zenon_L93_); trivial.
% 11.04/11.26 exact (zenon_H145 zenon_H133).
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.26 apply (zenon_L483_); trivial.
% 11.04/11.26 apply (zenon_L484_); trivial.
% 11.04/11.26 (* end of lemma zenon_L485_ *)
% 11.04/11.26 assert (zenon_L486_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H127 zenon_H1d zenon_Hc5 zenon_H104 zenon_H20c zenon_H172 zenon_H149 zenon_Ha5 zenon_H109 zenon_Hbe zenon_H2d zenon_He3 zenon_H1f0 zenon_H67 zenon_H170 zenon_H16b zenon_H68 zenon_H140 zenon_H138 zenon_H145 zenon_H2a zenon_H1da zenon_H70 zenon_H1dd zenon_H13b zenon_H88 zenon_H81 zenon_H200 zenon_H132 zenon_H219 zenon_H156 zenon_H8d zenon_H125 zenon_H122 zenon_H37.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ].
% 11.04/11.26 apply (zenon_L485_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ].
% 11.04/11.26 apply (zenon_L428_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ].
% 11.04/11.26 apply (zenon_L84_); trivial.
% 11.04/11.26 apply (zenon_L470_); trivial.
% 11.04/11.26 (* end of lemma zenon_L486_ *)
% 11.04/11.26 assert (zenon_L487_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H1f9 zenon_Ha2 zenon_H40 zenon_H46 zenon_H22 zenon_Ha1 zenon_H5d.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H24 | zenon_intro zenon_H1fa ].
% 11.04/11.26 apply (zenon_L35_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H3f | zenon_intro zenon_H1fb ].
% 11.04/11.26 exact (zenon_H40 zenon_H3f).
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_Hca ].
% 11.04/11.26 apply (zenon_L253_); trivial.
% 11.04/11.26 apply (zenon_L323_); trivial.
% 11.04/11.26 (* end of lemma zenon_L487_ *)
% 11.04/11.26 assert (zenon_L488_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.04/11.26 do 0 intro. intros zenon_Hbc zenon_H37 zenon_H1d zenon_Hc5 zenon_H104 zenon_H20c zenon_H172 zenon_H149 zenon_Ha5 zenon_H109 zenon_Hbe zenon_H2d zenon_H1f0 zenon_H67 zenon_H170 zenon_H16b zenon_H140 zenon_H138 zenon_H145 zenon_H2a zenon_H1da zenon_H70 zenon_H1dd zenon_H13b zenon_H88 zenon_H81 zenon_H200 zenon_H132 zenon_H219 zenon_H5d zenon_Ha1 zenon_H22 zenon_H46 zenon_H40 zenon_H1f9 zenon_He3 zenon_Hdd zenon_H68 zenon_H75.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.04/11.26 apply (zenon_L485_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.04/11.26 apply (zenon_L487_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.04/11.26 apply (zenon_L155_); trivial.
% 11.04/11.26 apply (zenon_L221_); trivial.
% 11.04/11.26 (* end of lemma zenon_L488_ *)
% 11.04/11.26 assert (zenon_L489_ : ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 11.04/11.26 do 0 intro. intros zenon_Hcb zenon_He9 zenon_H75 zenon_H68 zenon_Hdd zenon_He3 zenon_H1f9 zenon_H40 zenon_H46 zenon_H22 zenon_Ha1 zenon_H219 zenon_H132 zenon_H200 zenon_H81 zenon_H88 zenon_H13b zenon_H1dd zenon_H70 zenon_H1da zenon_H2a zenon_H138 zenon_H140 zenon_H16b zenon_H170 zenon_H67 zenon_H1f0 zenon_H2d zenon_Hbe zenon_H109 zenon_Ha5 zenon_H149 zenon_H172 zenon_H20c zenon_H104 zenon_Hc5 zenon_H1d zenon_H37 zenon_Hbc zenon_H145.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.04/11.26 apply (zenon_L28_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.04/11.26 apply (zenon_L303_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.04/11.26 apply (zenon_L488_); trivial.
% 11.04/11.26 exact (zenon_H145 zenon_H133).
% 11.04/11.26 (* end of lemma zenon_L489_ *)
% 11.04/11.26 assert (zenon_L490_ : ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 11.04/11.26 do 0 intro. intros zenon_Hd1 zenon_H121 zenon_H75 zenon_H68 zenon_Hdd zenon_He3 zenon_H1f9 zenon_H40 zenon_H46 zenon_H22 zenon_Ha1 zenon_H219 zenon_H132 zenon_H200 zenon_H81 zenon_H88 zenon_H13b zenon_H1dd zenon_H70 zenon_H1da zenon_H2a zenon_H138 zenon_H140 zenon_H16b zenon_H170 zenon_H67 zenon_H1f0 zenon_H2d zenon_Hbe zenon_H109 zenon_Ha5 zenon_H149 zenon_H172 zenon_H20c zenon_H104 zenon_Hc5 zenon_H1d zenon_H37 zenon_Hbc zenon_H145.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.04/11.26 apply (zenon_L28_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.04/11.26 apply (zenon_L338_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.04/11.26 apply (zenon_L488_); trivial.
% 11.04/11.26 exact (zenon_H145 zenon_H133).
% 11.04/11.26 (* end of lemma zenon_L490_ *)
% 11.04/11.26 assert (zenon_L491_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H20c zenon_H1a7 zenon_H22e zenon_Hc3 zenon_H1f0 zenon_H186 zenon_H1d zenon_H37.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_He5 | zenon_intro zenon_H20d ].
% 11.04/11.26 apply (zenon_L392_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f | zenon_intro zenon_H20e ].
% 11.04/11.26 apply (zenon_L305_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H57 | zenon_intro zenon_H3d ].
% 11.04/11.26 apply (zenon_L457_); trivial.
% 11.04/11.26 apply (zenon_L348_); trivial.
% 11.04/11.26 (* end of lemma zenon_L491_ *)
% 11.04/11.26 assert (zenon_L492_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H1f9 zenon_Ha2 zenon_Ha1 zenon_H40 zenon_H46 zenon_H22 zenon_He9 zenon_Hcb.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H24 | zenon_intro zenon_H1fa ].
% 11.04/11.26 apply (zenon_L35_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H3f | zenon_intro zenon_H1fb ].
% 11.04/11.26 exact (zenon_H40 zenon_H3f).
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_Hca ].
% 11.04/11.26 apply (zenon_L253_); trivial.
% 11.04/11.26 apply (zenon_L303_); trivial.
% 11.04/11.26 (* end of lemma zenon_L492_ *)
% 11.04/11.26 assert (zenon_L493_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H13b zenon_H37 zenon_H88 zenon_Hd1 zenon_H121 zenon_Ha1 zenon_H22 zenon_H46 zenon_H40 zenon_Ha2 zenon_H1f9 zenon_H145.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.04/11.26 apply (zenon_L28_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.04/11.26 apply (zenon_L338_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.04/11.26 apply (zenon_L487_); trivial.
% 11.04/11.26 exact (zenon_H145 zenon_H133).
% 11.04/11.26 (* end of lemma zenon_L493_ *)
% 11.04/11.26 assert (zenon_L494_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.04/11.26 do 0 intro. intros zenon_Hd3 zenon_H37 zenon_H1d zenon_He9 zenon_H22 zenon_H46 zenon_H40 zenon_Ha1 zenon_Ha2 zenon_H1f9 zenon_H10c zenon_H149.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.04/11.26 apply (zenon_L348_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.04/11.26 apply (zenon_L344_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.04/11.26 apply (zenon_L492_); trivial.
% 11.04/11.26 apply (zenon_L308_); trivial.
% 11.04/11.26 (* end of lemma zenon_L494_ *)
% 11.04/11.26 assert (zenon_L495_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H132 zenon_H46 zenon_H95.
% 11.04/11.26 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (e1)) = (op (e3) (e1)))).
% 11.04/11.26 intro zenon_D_pnotp.
% 11.04/11.26 apply zenon_H132.
% 11.04/11.26 rewrite <- zenon_D_pnotp.
% 11.04/11.26 exact zenon_H46.
% 11.04/11.26 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 11.04/11.26 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 11.04/11.26 congruence.
% 11.04/11.26 apply zenon_H26. apply refl_equal.
% 11.04/11.26 apply zenon_H139. apply sym_equal. exact zenon_H95.
% 11.04/11.26 (* end of lemma zenon_L495_ *)
% 11.04/11.26 assert (zenon_L496_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H9e zenon_H37 zenon_H122 zenon_H125 zenon_H156 zenon_H219 zenon_H200 zenon_H81 zenon_H88 zenon_H13b zenon_H1dd zenon_H70 zenon_H1da zenon_H2a zenon_H145 zenon_H138 zenon_H140 zenon_H16b zenon_H170 zenon_H1f0 zenon_H2d zenon_Hbe zenon_Ha5 zenon_H149 zenon_H172 zenon_H20c zenon_H104 zenon_Hc5 zenon_H1d zenon_H127 zenon_H46 zenon_H132 zenon_H143 zenon_H5d zenon_Hf5 zenon_H67 zenon_Hdd zenon_He3 zenon_Hf8 zenon_H109 zenon_H68.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.04/11.26 apply (zenon_L486_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.04/11.26 apply (zenon_L495_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.04/11.26 apply (zenon_L473_); trivial.
% 11.04/11.26 apply (zenon_L129_); trivial.
% 11.04/11.26 (* end of lemma zenon_L496_ *)
% 11.04/11.26 assert (zenon_L497_ : ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e3) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 11.04/11.26 do 0 intro. intros zenon_Hcb zenon_He9 zenon_H68 zenon_H109 zenon_Hf8 zenon_He3 zenon_Hdd zenon_H67 zenon_Hf5 zenon_H143 zenon_H132 zenon_H46 zenon_H127 zenon_H1d zenon_Hc5 zenon_H104 zenon_H20c zenon_H172 zenon_H149 zenon_Ha5 zenon_Hbe zenon_H2d zenon_H1f0 zenon_H170 zenon_H16b zenon_H140 zenon_H138 zenon_H2a zenon_H1da zenon_H70 zenon_H1dd zenon_H13b zenon_H88 zenon_H81 zenon_H200 zenon_H219 zenon_H156 zenon_H125 zenon_H122 zenon_H37 zenon_H9e zenon_H145.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.04/11.26 apply (zenon_L28_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.04/11.26 apply (zenon_L303_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.04/11.26 apply (zenon_L496_); trivial.
% 11.04/11.26 exact (zenon_H145 zenon_H133).
% 11.04/11.26 (* end of lemma zenon_L497_ *)
% 11.04/11.26 assert (zenon_L498_ : ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 11.04/11.26 do 0 intro. intros zenon_Hd1 zenon_H121 zenon_H68 zenon_H109 zenon_Hf8 zenon_He3 zenon_Hdd zenon_H67 zenon_Hf5 zenon_H143 zenon_H132 zenon_H46 zenon_H127 zenon_H1d zenon_Hc5 zenon_H104 zenon_H20c zenon_H172 zenon_H149 zenon_Ha5 zenon_Hbe zenon_H2d zenon_H1f0 zenon_H170 zenon_H16b zenon_H140 zenon_H138 zenon_H2a zenon_H1da zenon_H70 zenon_H1dd zenon_H13b zenon_H88 zenon_H81 zenon_H200 zenon_H219 zenon_H156 zenon_H125 zenon_H122 zenon_H37 zenon_H9e zenon_H145.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.04/11.26 apply (zenon_L28_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.04/11.26 apply (zenon_L338_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.04/11.26 apply (zenon_L496_); trivial.
% 11.04/11.26 exact (zenon_H145 zenon_H133).
% 11.04/11.26 (* end of lemma zenon_L498_ *)
% 11.04/11.26 assert (zenon_L499_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H244 zenon_H38 zenon_H186 zenon_Hca zenon_H121 zenon_H65 zenon_Hf7 zenon_H68 zenon_H81.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H101 | zenon_intro zenon_H245 ].
% 11.04/11.26 apply (zenon_L295_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H246 ].
% 11.04/11.26 apply (zenon_L338_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ].
% 11.04/11.26 apply (zenon_L67_); trivial.
% 11.04/11.26 apply (zenon_L265_); trivial.
% 11.04/11.26 (* end of lemma zenon_L499_ *)
% 11.04/11.26 assert (zenon_L500_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 11.04/11.26 do 0 intro. intros zenon_Hf8 zenon_He3 zenon_Hdd zenon_H67 zenon_H9c zenon_Hf5 zenon_Hf7 zenon_H74.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ].
% 11.04/11.26 apply (zenon_L155_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ].
% 11.04/11.26 exact (zenon_H67 zenon_H66).
% 11.04/11.26 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ].
% 11.04/11.26 apply (zenon_L163_); trivial.
% 11.04/11.26 apply (zenon_L67_); trivial.
% 11.04/11.26 (* end of lemma zenon_L500_ *)
% 11.04/11.26 assert (zenon_L501_ : ((~((op (e3) (e1)) = (e3)))\/((op (e3) (e3)) = (e1))) -> ((op (e3) (e3)) = (e0)) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e3)) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H220 zenon_H68 zenon_H2d zenon_H133.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ].
% 11.04/11.26 exact (zenon_H145 zenon_H133).
% 11.04/11.26 apply (zenon_L165_); trivial.
% 11.04/11.26 (* end of lemma zenon_L501_ *)
% 11.04/11.26 assert (zenon_L502_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H127 zenon_H104 zenon_He5 zenon_H125 zenon_H156 zenon_H130 zenon_H12a zenon_H122 zenon_H37.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ].
% 11.04/11.26 apply (zenon_L154_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ].
% 11.04/11.26 apply (zenon_L428_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ].
% 11.04/11.26 apply (zenon_L274_); trivial.
% 11.04/11.26 apply (zenon_L470_); trivial.
% 11.04/11.26 (* end of lemma zenon_L502_ *)
% 11.04/11.26 assert (zenon_L503_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H1da zenon_H2a zenon_H2d zenon_H66 zenon_Hec zenon_H127 zenon_H104 zenon_He5 zenon_H125 zenon_H130 zenon_H12a zenon_H122 zenon_H37.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.26 exact (zenon_H2a zenon_H1e).
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.26 apply (zenon_L56_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.26 apply (zenon_L398_); trivial.
% 11.04/11.26 apply (zenon_L502_); trivial.
% 11.04/11.26 (* end of lemma zenon_L503_ *)
% 11.04/11.26 assert (zenon_L504_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H219 zenon_H22 zenon_H2d zenon_He3 zenon_H1da zenon_H2a zenon_H1f7 zenon_H3f zenon_H20c zenon_H104 zenon_H80 zenon_Hc5 zenon_H1d zenon_H37.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.04/11.26 exact (zenon_H2a zenon_H1e).
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.04/11.26 apply (zenon_L380_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.04/11.26 apply (zenon_L467_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.26 exact (zenon_H2a zenon_H1e).
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.26 apply (zenon_L383_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.26 apply (zenon_L483_); trivial.
% 11.04/11.26 apply (zenon_L484_); trivial.
% 11.04/11.26 (* end of lemma zenon_L504_ *)
% 11.04/11.26 assert (zenon_L505_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H127 zenon_H1d zenon_H186 zenon_Hc5 zenon_H156 zenon_H104 zenon_H20c zenon_H66 zenon_Hec zenon_H130 zenon_H12a zenon_H122 zenon_H37.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ].
% 11.04/11.26 apply (zenon_L484_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ].
% 11.04/11.26 apply (zenon_L398_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ].
% 11.04/11.26 apply (zenon_L274_); trivial.
% 11.04/11.26 apply (zenon_L470_); trivial.
% 11.04/11.26 (* end of lemma zenon_L505_ *)
% 11.04/11.26 assert (zenon_L506_ : ((~((op (e0) (e1)) = (e0)))\/((op (e0) (e0)) = (e1))) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e0)) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H21f zenon_H37 zenon_H38 zenon_H23.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ].
% 11.04/11.26 exact (zenon_H1fd zenon_H23).
% 11.04/11.26 apply (zenon_L8_); trivial.
% 11.04/11.26 (* end of lemma zenon_L506_ *)
% 11.04/11.26 assert (zenon_L507_ : (((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\(((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))/\(((~((op (e0) (e1)) = (e0)))\/((op (e0) (e0)) = (e1)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e1)) = (e2)))\/((op (e2) (e2)) = (e1)))/\((~((op (e3) (e1)) = (e3)))\/((op (e3) (e3)) = (e1)))))))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False).
% 11.04/11.26 do 0 intro. intros zenon_H27 zenon_H81 zenon_H37 zenon_H16f zenon_H169 zenon_H219 zenon_H1f0 zenon_H140 zenon_Hbe zenon_H1da zenon_H200 zenon_H70 zenon_H1dd zenon_H170 zenon_H138 zenon_H132 zenon_H172 zenon_H117 zenon_H1a9 zenon_H1d zenon_He9 zenon_H121 zenon_H38 zenon_Hd3 zenon_H1b9 zenon_Hf5 zenon_Hec zenon_Hdd zenon_Hcc zenon_H143 zenon_Hf8 zenon_H1d4 zenon_H20c zenon_Hc5 zenon_H22e zenon_H1a6 zenon_H1ab zenon_H12d zenon_H22 zenon_H14b zenon_H13b zenon_H88 zenon_H127 zenon_H122 zenon_H104 zenon_H125 zenon_H12a zenon_H16b zenon_H68 zenon_H1fc zenon_H149 zenon_Ha5 zenon_H109 zenon_H180 zenon_H2d zenon_H9e zenon_H244 zenon_Hf7 zenon_H7d zenon_Hbc zenon_H75 zenon_Ha1 zenon_H1f9 zenon_Hd6 zenon_H19e zenon_H41 zenon_H69 zenon_H173 zenon_H162 zenon_Hb9 zenon_H1f7.
% 11.04/11.26 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28.
% 11.04/11.26 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H248. zenon_intro zenon_H247.
% 11.04/11.26 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H21e. zenon_intro zenon_H249.
% 11.04/11.26 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H221. zenon_intro zenon_H24a.
% 11.04/11.26 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H21f. zenon_intro zenon_H24b.
% 11.04/11.26 apply (zenon_and_s _ _ zenon_H24b). zenon_intro zenon_H248. zenon_intro zenon_H24c.
% 11.04/11.26 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H21c. zenon_intro zenon_H220.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2a | zenon_intro zenon_H23 ].
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H67 | zenon_intro zenon_H130 ].
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H15d | zenon_intro zenon_H133 ].
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ].
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ].
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ].
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.04/11.26 apply (zenon_L468_); trivial.
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.04/11.26 exact (zenon_H1fd zenon_H23).
% 11.04/11.26 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.04/11.27 apply (zenon_L153_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.04/11.27 exact (zenon_H2a zenon_H1e).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.27 exact (zenon_H2a zenon_H1e).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.27 apply (zenon_L56_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.27 apply (zenon_L466_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.04/11.27 apply (zenon_L291_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.04/11.27 apply (zenon_L81_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.04/11.27 apply (zenon_L206_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.04/11.27 apply (zenon_L291_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.04/11.27 exact (zenon_H1fd zenon_H23).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.04/11.27 apply (zenon_L469_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.04/11.27 apply (zenon_L471_); trivial.
% 11.04/11.27 apply (zenon_L463_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.04/11.27 exact (zenon_H1fd zenon_H23).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.04/11.27 apply (zenon_L74_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.04/11.27 apply (zenon_L475_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.04/11.27 apply (zenon_L348_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.04/11.27 apply (zenon_L44_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.04/11.27 apply (zenon_L476_); trivial.
% 11.04/11.27 apply (zenon_L477_); trivial.
% 11.04/11.27 apply (zenon_L478_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.04/11.27 apply (zenon_L471_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.04/11.27 apply (zenon_L475_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.04/11.27 apply (zenon_L348_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ].
% 11.04/11.27 apply (zenon_L479_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ].
% 11.04/11.27 apply (zenon_L89_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ].
% 11.04/11.27 exact (zenon_H67 zenon_H66).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ].
% 11.04/11.27 apply (zenon_L480_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ].
% 11.04/11.27 apply (zenon_L190_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ].
% 11.04/11.27 apply (zenon_L344_); trivial.
% 11.04/11.27 apply (zenon_L338_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.04/11.27 apply (zenon_L476_); trivial.
% 11.04/11.27 apply (zenon_L477_); trivial.
% 11.04/11.27 apply (zenon_L478_); trivial.
% 11.04/11.27 apply (zenon_L463_); trivial.
% 11.04/11.27 apply (zenon_L486_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.04/11.27 apply (zenon_L467_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.27 exact (zenon_H2a zenon_H1e).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.27 apply (zenon_L56_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.04/11.27 apply (zenon_L291_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.04/11.27 apply (zenon_L291_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.04/11.27 apply (zenon_L457_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.04/11.27 apply (zenon_L270_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.04/11.27 exact (zenon_H1fd zenon_H23).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.04/11.27 apply (zenon_L348_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.04/11.27 apply (zenon_L44_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.04/11.27 apply (zenon_L489_); trivial.
% 11.04/11.27 apply (zenon_L490_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.04/11.27 apply (zenon_L56_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.04/11.27 exact (zenon_H40 zenon_H3f).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.04/11.27 apply (zenon_L457_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.04/11.27 apply (zenon_L253_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.04/11.27 apply (zenon_L348_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.04/11.27 apply (zenon_L84_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.04/11.27 exact (zenon_H1f3 zenon_H130).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.04/11.27 apply (zenon_L140_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ].
% 11.04/11.27 apply (zenon_L491_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ].
% 11.04/11.27 apply (zenon_L449_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ].
% 11.04/11.27 apply (zenon_L231_); trivial.
% 11.04/11.27 apply (zenon_L338_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.04/11.27 apply (zenon_L492_); trivial.
% 11.04/11.27 apply (zenon_L493_); trivial.
% 11.04/11.27 apply (zenon_L494_); trivial.
% 11.04/11.27 apply (zenon_L449_); trivial.
% 11.04/11.27 apply (zenon_L463_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.04/11.27 apply (zenon_L206_); trivial.
% 11.04/11.27 apply (zenon_L455_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.04/11.27 apply (zenon_L291_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.04/11.27 apply (zenon_L291_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.04/11.27 apply (zenon_L457_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.04/11.27 exact (zenon_H1fd zenon_H23).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.04/11.27 apply (zenon_L348_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.04/11.27 apply (zenon_L44_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.04/11.27 apply (zenon_L497_); trivial.
% 11.04/11.27 apply (zenon_L498_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.04/11.27 apply (zenon_L348_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ].
% 11.04/11.27 apply (zenon_L470_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ].
% 11.04/11.27 apply (zenon_L496_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ].
% 11.04/11.27 apply (zenon_L499_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.04/11.27 apply (zenon_L84_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.04/11.27 apply (zenon_L495_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.04/11.27 apply (zenon_L500_); trivial.
% 11.04/11.27 apply (zenon_L129_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.04/11.27 apply (zenon_L492_); trivial.
% 11.04/11.27 apply (zenon_L498_); trivial.
% 11.04/11.27 apply (zenon_L463_); trivial.
% 11.04/11.27 apply (zenon_L486_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.04/11.27 apply (zenon_L206_); trivial.
% 11.04/11.27 apply (zenon_L406_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.04/11.27 apply (zenon_L485_); trivial.
% 11.04/11.27 apply (zenon_L404_); trivial.
% 11.04/11.27 apply (zenon_L21_); trivial.
% 11.04/11.27 exact (zenon_H15d zenon_H6e).
% 11.04/11.27 exact (zenon_H67 zenon_H66).
% 11.04/11.27 exact (zenon_H2a zenon_H1e).
% 11.04/11.27 apply (zenon_L501_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H15d | zenon_intro zenon_H133 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ].
% 11.04/11.27 exact (zenon_H1f3 zenon_H130).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.04/11.27 apply (zenon_L468_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.04/11.27 exact (zenon_H1fd zenon_H23).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.04/11.27 apply (zenon_L153_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.04/11.27 apply (zenon_L503_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.04/11.27 apply (zenon_L154_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.04/11.27 apply (zenon_L28_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.04/11.27 apply (zenon_L44_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.04/11.27 apply (zenon_L389_); trivial.
% 11.04/11.27 exact (zenon_H145 zenon_H133).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.04/11.27 apply (zenon_L481_); trivial.
% 11.04/11.27 apply (zenon_L228_); trivial.
% 11.04/11.27 apply (zenon_L404_); trivial.
% 11.04/11.27 apply (zenon_L21_); trivial.
% 11.04/11.27 exact (zenon_H15d zenon_H6e).
% 11.04/11.27 exact (zenon_H2a zenon_H1e).
% 11.04/11.27 apply (zenon_L501_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H67 | zenon_intro zenon_H130 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H15d | zenon_intro zenon_H133 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.04/11.27 apply (zenon_L468_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.04/11.27 exact (zenon_H1fd zenon_H23).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.04/11.27 apply (zenon_L153_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.04/11.27 exact (zenon_H2a zenon_H1e).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.04/11.27 apply (zenon_L380_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.04/11.27 apply (zenon_L467_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.27 exact (zenon_H2a zenon_H1e).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.27 apply (zenon_L56_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.04/11.27 apply (zenon_L291_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.04/11.27 apply (zenon_L457_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.04/11.27 apply (zenon_L270_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H163 | zenon_intro zenon_H17d ].
% 11.04/11.27 apply (zenon_L463_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H141 | zenon_intro zenon_H17e ].
% 11.04/11.27 apply (zenon_L381_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H95 | zenon_intro zenon_H133 ].
% 11.04/11.27 apply (zenon_L93_); trivial.
% 11.04/11.27 exact (zenon_H145 zenon_H133).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ].
% 11.04/11.27 apply (zenon_L428_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ].
% 11.04/11.27 apply (zenon_L257_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ].
% 11.04/11.27 exact (zenon_H67 zenon_H66).
% 11.04/11.27 apply (zenon_L182_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.04/11.27 apply (zenon_L504_); trivial.
% 11.04/11.27 apply (zenon_L404_); trivial.
% 11.04/11.27 apply (zenon_L21_); trivial.
% 11.04/11.27 exact (zenon_H15d zenon_H6e).
% 11.04/11.27 exact (zenon_H2a zenon_H1e).
% 11.04/11.27 apply (zenon_L501_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ].
% 11.04/11.27 exact (zenon_H1f3 zenon_H130).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.04/11.27 exact (zenon_H2a zenon_H1e).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.04/11.27 apply (zenon_L380_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.04/11.27 apply (zenon_L98_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.27 exact (zenon_H2a zenon_H1e).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.27 apply (zenon_L383_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.27 apply (zenon_L398_); trivial.
% 11.04/11.27 apply (zenon_L505_); trivial.
% 11.04/11.27 apply (zenon_L506_); trivial.
% 11.04/11.27 (* end of lemma zenon_L507_ *)
% 11.04/11.27 assert (zenon_L508_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H180 zenon_H171 zenon_H109 zenon_H23 zenon_Ha5 zenon_H42 zenon_H123 zenon_H37.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.04/11.27 exact (zenon_H171 zenon_H175).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.04/11.27 apply (zenon_L388_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.04/11.27 apply (zenon_L36_); trivial.
% 11.04/11.27 apply (zenon_L455_); trivial.
% 11.04/11.27 (* end of lemma zenon_L508_ *)
% 11.04/11.27 assert (zenon_L509_ : ((op (e3) (e3)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H68 zenon_Hf0 zenon_H1ca.
% 11.04/11.27 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ].
% 11.04/11.27 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e2)) = (op (e3) (e3)))).
% 11.04/11.27 intro zenon_D_pnotp.
% 11.04/11.27 apply zenon_H1ca.
% 11.04/11.27 rewrite <- zenon_D_pnotp.
% 11.04/11.27 exact zenon_H6a.
% 11.04/11.27 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.27 cut (((op (e3) (e3)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1cb].
% 11.04/11.27 congruence.
% 11.04/11.27 cut (((op (e3) (e3)) = (e0)) = ((op (e3) (e3)) = (op (e3) (e2)))).
% 11.04/11.27 intro zenon_D_pnotp.
% 11.04/11.27 apply zenon_H1cb.
% 11.04/11.27 rewrite <- zenon_D_pnotp.
% 11.04/11.27 exact zenon_H68.
% 11.04/11.27 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf6].
% 11.04/11.27 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.04/11.27 congruence.
% 11.04/11.27 apply zenon_H6b. apply refl_equal.
% 11.04/11.27 apply zenon_Hf6. apply sym_equal. exact zenon_Hf0.
% 11.04/11.27 apply zenon_H6b. apply refl_equal.
% 11.04/11.27 apply zenon_H6b. apply refl_equal.
% 11.04/11.27 (* end of lemma zenon_L509_ *)
% 11.04/11.27 assert (zenon_L510_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H1f4 zenon_H1ca zenon_H68 zenon_H156 zenon_H158 zenon_H95 zenon_H140 zenon_H176.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ].
% 11.04/11.27 apply (zenon_L509_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ].
% 11.04/11.27 apply (zenon_L425_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ].
% 11.04/11.27 apply (zenon_L174_); trivial.
% 11.04/11.27 exact (zenon_H176 zenon_H153).
% 11.04/11.27 (* end of lemma zenon_L510_ *)
% 11.04/11.27 assert (zenon_L511_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H186 zenon_H42 zenon_H24d.
% 11.04/11.27 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H33 | zenon_intro zenon_H34 ].
% 11.04/11.27 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e2)) = (op (e0) (e3)))).
% 11.04/11.27 intro zenon_D_pnotp.
% 11.04/11.27 apply zenon_H24d.
% 11.04/11.27 rewrite <- zenon_D_pnotp.
% 11.04/11.27 exact zenon_H33.
% 11.04/11.27 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 11.04/11.27 cut (((op (e0) (e3)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H24e].
% 11.04/11.27 congruence.
% 11.04/11.27 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e0) (e2)))).
% 11.04/11.27 intro zenon_D_pnotp.
% 11.04/11.27 apply zenon_H24e.
% 11.04/11.27 rewrite <- zenon_D_pnotp.
% 11.04/11.27 exact zenon_H186.
% 11.04/11.27 cut (((e1) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H43].
% 11.04/11.27 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 11.04/11.27 congruence.
% 11.04/11.27 apply zenon_H34. apply refl_equal.
% 11.04/11.27 apply zenon_H43. apply sym_equal. exact zenon_H42.
% 11.04/11.27 apply zenon_H34. apply refl_equal.
% 11.04/11.27 apply zenon_H34. apply refl_equal.
% 11.04/11.27 (* end of lemma zenon_L511_ *)
% 11.04/11.27 assert (zenon_L512_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H1dd zenon_H9b zenon_H10d.
% 11.04/11.27 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e1) (e2)))).
% 11.04/11.27 intro zenon_D_pnotp.
% 11.04/11.27 apply zenon_H1dd.
% 11.04/11.27 rewrite <- zenon_D_pnotp.
% 11.04/11.27 exact zenon_H9b.
% 11.04/11.27 cut (((e2) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 11.04/11.27 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 11.04/11.27 congruence.
% 11.04/11.27 apply zenon_H87. apply refl_equal.
% 11.04/11.27 apply zenon_H112. apply sym_equal. exact zenon_H10d.
% 11.04/11.27 (* end of lemma zenon_L512_ *)
% 11.04/11.27 assert (zenon_L513_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_He1 zenon_He0 zenon_H24d zenon_H186 zenon_H10d zenon_H1dd zenon_H41 zenon_H37.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ].
% 11.04/11.27 exact (zenon_He0 zenon_He3).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ].
% 11.04/11.27 apply (zenon_L511_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ].
% 11.04/11.27 apply (zenon_L512_); trivial.
% 11.04/11.27 apply (zenon_L58_); trivial.
% 11.04/11.27 (* end of lemma zenon_L513_ *)
% 11.04/11.27 assert (zenon_L514_ : (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e1)) = (e1)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H38 zenon_Hca zenon_H3f.
% 11.04/11.27 cut (((op (e1) (e1)) = (e3)) = ((e1) = (e3))).
% 11.04/11.27 intro zenon_D_pnotp.
% 11.04/11.27 apply zenon_H38.
% 11.04/11.27 rewrite <- zenon_D_pnotp.
% 11.04/11.27 exact zenon_Hca.
% 11.04/11.27 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.04/11.27 cut (((op (e1) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 11.04/11.27 congruence.
% 11.04/11.27 exact (zenon_H40 zenon_H3f).
% 11.04/11.27 apply zenon_H3a. apply refl_equal.
% 11.04/11.27 (* end of lemma zenon_L514_ *)
% 11.04/11.27 assert (zenon_L515_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e2) (e1)) = (e0)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H12d zenon_H23 zenon_Ha2.
% 11.04/11.27 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e2) (e1)))).
% 11.04/11.27 intro zenon_D_pnotp.
% 11.04/11.27 apply zenon_H12d.
% 11.04/11.27 rewrite <- zenon_D_pnotp.
% 11.04/11.27 exact zenon_H23.
% 11.04/11.27 cut (((e0) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 11.04/11.27 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 11.04/11.27 congruence.
% 11.04/11.27 apply zenon_H26. apply refl_equal.
% 11.04/11.27 apply zenon_Ha3. apply sym_equal. exact zenon_Ha2.
% 11.04/11.27 (* end of lemma zenon_L515_ *)
% 11.04/11.27 assert (zenon_L516_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_He1 zenon_He0 zenon_H66 zenon_Hdd zenon_H9c zenon_H84 zenon_H41 zenon_H37.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ].
% 11.04/11.27 exact (zenon_He0 zenon_He3).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ].
% 11.04/11.27 apply (zenon_L98_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ].
% 11.04/11.27 apply (zenon_L33_); trivial.
% 11.04/11.27 apply (zenon_L58_); trivial.
% 11.04/11.27 (* end of lemma zenon_L516_ *)
% 11.04/11.27 assert (zenon_L517_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H1f4 zenon_H1ca zenon_H68 zenon_H156 zenon_H158 zenon_H37 zenon_H41 zenon_H84 zenon_Hdd zenon_H66 zenon_He0 zenon_He1 zenon_H176.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ].
% 11.04/11.27 apply (zenon_L509_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ].
% 11.04/11.27 apply (zenon_L425_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ].
% 11.04/11.27 apply (zenon_L516_); trivial.
% 11.04/11.27 exact (zenon_H176 zenon_H153).
% 11.04/11.27 (* end of lemma zenon_L517_ *)
% 11.04/11.27 assert (zenon_L518_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H1f4 zenon_H1ca zenon_H68 zenon_H156 zenon_H8d zenon_H158 zenon_H176.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ].
% 11.04/11.27 apply (zenon_L509_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ].
% 11.04/11.27 apply (zenon_L425_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ].
% 11.04/11.27 apply (zenon_L252_); trivial.
% 11.04/11.27 exact (zenon_H176 zenon_H153).
% 11.04/11.27 (* end of lemma zenon_L518_ *)
% 11.04/11.27 assert (zenon_L519_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_Hfd zenon_He0 zenon_H24 zenon_He9 zenon_H80 zenon_Hec zenon_H68 zenon_H1ca.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ].
% 11.04/11.27 exact (zenon_He0 zenon_He3).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ].
% 11.04/11.27 apply (zenon_L59_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ].
% 11.04/11.27 apply (zenon_L60_); trivial.
% 11.04/11.27 apply (zenon_L509_); trivial.
% 11.04/11.27 (* end of lemma zenon_L519_ *)
% 11.04/11.27 assert (zenon_L520_ : (~((op (e2) (op (e2) (e2))) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H24f zenon_H65.
% 11.04/11.27 cut (((op (e2) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1a4].
% 11.04/11.27 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.04/11.27 congruence.
% 11.04/11.27 apply zenon_H45. apply refl_equal.
% 11.04/11.27 exact (zenon_H1a4 zenon_H65).
% 11.04/11.27 (* end of lemma zenon_L520_ *)
% 11.04/11.27 assert (zenon_L521_ : ((op (e2) (e3)) = (e1)) -> ((op (e2) (e2)) = (e3)) -> (~((e1) = (op (e2) (op (e2) (e2))))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H18e zenon_H65 zenon_H212.
% 11.04/11.27 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 11.04/11.27 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((e1) = (op (e2) (op (e2) (e2))))).
% 11.04/11.27 intro zenon_D_pnotp.
% 11.04/11.27 apply zenon_H212.
% 11.04/11.27 rewrite <- zenon_D_pnotp.
% 11.04/11.27 exact zenon_Had.
% 11.04/11.27 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 11.04/11.27 cut (((op (e2) (op (e2) (e2))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H213].
% 11.04/11.27 congruence.
% 11.04/11.27 cut (((op (e2) (e3)) = (e1)) = ((op (e2) (op (e2) (e2))) = (e1))).
% 11.04/11.27 intro zenon_D_pnotp.
% 11.04/11.27 apply zenon_H213.
% 11.04/11.27 rewrite <- zenon_D_pnotp.
% 11.04/11.27 exact zenon_H18e.
% 11.04/11.27 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.27 cut (((op (e2) (e3)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H250].
% 11.04/11.27 congruence.
% 11.04/11.27 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 11.04/11.27 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e3)) = (op (e2) (op (e2) (e2))))).
% 11.04/11.27 intro zenon_D_pnotp.
% 11.04/11.27 apply zenon_H250.
% 11.04/11.27 rewrite <- zenon_D_pnotp.
% 11.04/11.27 exact zenon_Had.
% 11.04/11.27 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 11.04/11.27 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H24f].
% 11.04/11.27 congruence.
% 11.04/11.27 apply (zenon_L520_); trivial.
% 11.04/11.27 apply zenon_Hae. apply refl_equal.
% 11.04/11.27 apply zenon_Hae. apply refl_equal.
% 11.04/11.27 apply zenon_H2f. apply refl_equal.
% 11.04/11.27 apply zenon_Hae. apply refl_equal.
% 11.04/11.27 apply zenon_Hae. apply refl_equal.
% 11.04/11.27 (* end of lemma zenon_L521_ *)
% 11.04/11.27 assert (zenon_L522_ : ((op (e1) (e2)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> ((op (e2) (e2)) = (e3)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_Hea zenon_H18e zenon_H65.
% 11.04/11.27 apply (zenon_notand_s _ _ ax22); [ zenon_intro zenon_H252 | zenon_intro zenon_H251 ].
% 11.04/11.27 apply zenon_H252. apply sym_equal. exact zenon_H65.
% 11.04/11.27 apply (zenon_notand_s _ _ zenon_H251); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H212 ].
% 11.04/11.27 elim (classic ((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ].
% 11.04/11.27 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2))) = ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))).
% 11.04/11.27 intro zenon_D_pnotp.
% 11.04/11.27 apply zenon_Hf3.
% 11.04/11.27 rewrite <- zenon_D_pnotp.
% 11.04/11.27 exact zenon_Hb4.
% 11.04/11.27 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 11.04/11.27 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hf4].
% 11.04/11.27 congruence.
% 11.04/11.27 cut (((op (e1) (e2)) = (e0)) = ((op (op (e2) (op (e2) (e2))) (e2)) = (e0))).
% 11.04/11.27 intro zenon_D_pnotp.
% 11.04/11.27 apply zenon_Hf4.
% 11.04/11.27 rewrite <- zenon_D_pnotp.
% 11.04/11.27 exact zenon_Hea.
% 11.04/11.27 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.04/11.27 cut (((op (e1) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H217].
% 11.04/11.27 congruence.
% 11.04/11.27 elim (classic ((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ].
% 11.04/11.27 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2))) = ((op (e1) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))).
% 11.04/11.27 intro zenon_D_pnotp.
% 11.04/11.27 apply zenon_H217.
% 11.04/11.27 rewrite <- zenon_D_pnotp.
% 11.04/11.27 exact zenon_Hb4.
% 11.04/11.27 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 11.04/11.27 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H218].
% 11.04/11.27 congruence.
% 11.04/11.27 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.04/11.27 cut (((op (e2) (op (e2) (e2))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H213].
% 11.04/11.27 congruence.
% 11.04/11.27 cut (((op (e2) (e3)) = (e1)) = ((op (e2) (op (e2) (e2))) = (e1))).
% 11.04/11.27 intro zenon_D_pnotp.
% 11.04/11.27 apply zenon_H213.
% 11.04/11.27 rewrite <- zenon_D_pnotp.
% 11.04/11.27 exact zenon_H18e.
% 11.04/11.27 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.04/11.27 cut (((op (e2) (e3)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H250].
% 11.04/11.27 congruence.
% 11.04/11.27 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 11.04/11.27 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e3)) = (op (e2) (op (e2) (e2))))).
% 11.04/11.27 intro zenon_D_pnotp.
% 11.04/11.27 apply zenon_H250.
% 11.04/11.27 rewrite <- zenon_D_pnotp.
% 11.04/11.27 exact zenon_Had.
% 11.04/11.27 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 11.04/11.27 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H24f].
% 11.04/11.27 congruence.
% 11.04/11.27 apply (zenon_L520_); trivial.
% 11.04/11.27 apply zenon_Hae. apply refl_equal.
% 11.04/11.27 apply zenon_Hae. apply refl_equal.
% 11.04/11.27 apply zenon_H2f. apply refl_equal.
% 11.04/11.27 apply zenon_H45. apply refl_equal.
% 11.04/11.27 apply zenon_Hb5. apply refl_equal.
% 11.04/11.27 apply zenon_Hb5. apply refl_equal.
% 11.04/11.27 apply zenon_H2b. apply refl_equal.
% 11.04/11.27 apply zenon_Hb5. apply refl_equal.
% 11.04/11.27 apply zenon_Hb5. apply refl_equal.
% 11.04/11.27 apply (zenon_L521_); trivial.
% 11.04/11.27 (* end of lemma zenon_L522_ *)
% 11.04/11.27 assert (zenon_L523_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_He1 zenon_He0 zenon_H66 zenon_Hdd zenon_H10d zenon_H1dd zenon_H41 zenon_H37.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ].
% 11.04/11.27 exact (zenon_He0 zenon_He3).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ].
% 11.04/11.27 apply (zenon_L98_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ].
% 11.04/11.27 apply (zenon_L512_); trivial.
% 11.04/11.27 apply (zenon_L58_); trivial.
% 11.04/11.27 (* end of lemma zenon_L523_ *)
% 11.04/11.27 assert (zenon_L524_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_Hf8 zenon_H80 zenon_Hec zenon_H37 zenon_H41 zenon_H1dd zenon_H10d zenon_Hdd zenon_He0 zenon_He1 zenon_Hf9 zenon_Hf7 zenon_H74.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ].
% 11.04/11.27 apply (zenon_L60_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ].
% 11.04/11.27 apply (zenon_L523_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ].
% 11.04/11.27 exact (zenon_Hf9 zenon_Hfc).
% 11.04/11.27 apply (zenon_L67_); trivial.
% 11.04/11.27 (* end of lemma zenon_L524_ *)
% 11.04/11.27 assert (zenon_L525_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_Hf8 zenon_H80 zenon_Hec zenon_H37 zenon_H41 zenon_H84 zenon_H9c zenon_Hdd zenon_He0 zenon_He1 zenon_Hf9 zenon_Hf7 zenon_H74.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ].
% 11.04/11.27 apply (zenon_L60_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ].
% 11.04/11.27 apply (zenon_L516_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ].
% 11.04/11.27 exact (zenon_Hf9 zenon_Hfc).
% 11.04/11.27 apply (zenon_L67_); trivial.
% 11.04/11.27 (* end of lemma zenon_L525_ *)
% 11.04/11.27 assert (zenon_L526_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H1b9 zenon_Ha5 zenon_H1dd zenon_H7d zenon_H122 zenon_H143 zenon_H42 zenon_H18e zenon_Hea zenon_Hf8 zenon_H80 zenon_Hec zenon_H37 zenon_H41 zenon_H84 zenon_Hdd zenon_He0 zenon_He1 zenon_Hf9 zenon_Hf7.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ].
% 11.04/11.27 apply (zenon_L36_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ].
% 11.04/11.27 apply (zenon_L470_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ].
% 11.04/11.27 apply (zenon_L100_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ].
% 11.04/11.27 apply (zenon_L522_); trivial.
% 11.04/11.27 apply (zenon_L524_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ].
% 11.04/11.27 exact (zenon_Hf9 zenon_Hfc).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ].
% 11.04/11.27 apply (zenon_L470_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ].
% 11.04/11.27 apply (zenon_L100_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ].
% 11.04/11.27 apply (zenon_L522_); trivial.
% 11.04/11.27 apply (zenon_L525_); trivial.
% 11.04/11.27 (* end of lemma zenon_L526_ *)
% 11.04/11.27 assert (zenon_L527_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e2)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H1d4 zenon_H108 zenon_H3f zenon_Ha1 zenon_H1b9 zenon_Ha5 zenon_H1dd zenon_H7d zenon_H122 zenon_H143 zenon_H42 zenon_Hea zenon_Hf8 zenon_H80 zenon_Hec zenon_H37 zenon_H41 zenon_H84 zenon_Hdd zenon_He0 zenon_He1 zenon_Hf9 zenon_Hf7.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ].
% 11.04/11.27 apply (zenon_L455_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ].
% 11.04/11.27 apply (zenon_L257_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ].
% 11.04/11.27 apply (zenon_L98_); trivial.
% 11.04/11.27 apply (zenon_L526_); trivial.
% 11.04/11.27 (* end of lemma zenon_L527_ *)
% 11.04/11.27 assert (zenon_L528_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H225 zenon_H37 zenon_H41 zenon_Hca zenon_He9 zenon_H74 zenon_Hf7 zenon_H176.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Hdc | zenon_intro zenon_H226 ].
% 11.04/11.27 apply (zenon_L58_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hcb | zenon_intro zenon_H227 ].
% 11.04/11.27 apply (zenon_L303_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H65 | zenon_intro zenon_H153 ].
% 11.04/11.27 apply (zenon_L67_); trivial.
% 11.04/11.27 exact (zenon_H176 zenon_H153).
% 11.04/11.27 (* end of lemma zenon_L528_ *)
% 11.04/11.27 assert (zenon_L529_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H7d zenon_H122 zenon_Ha1 zenon_H81 zenon_H68 zenon_H121 zenon_H108 zenon_H149 zenon_H244 zenon_H225 zenon_H37 zenon_H41 zenon_Hca zenon_He9 zenon_Hf7 zenon_H176.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ].
% 11.04/11.27 apply (zenon_L470_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ].
% 11.04/11.27 apply (zenon_L323_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H101 | zenon_intro zenon_H245 ].
% 11.04/11.27 apply (zenon_L184_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H246 ].
% 11.04/11.27 apply (zenon_L338_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ].
% 11.04/11.27 apply (zenon_L67_); trivial.
% 11.04/11.27 apply (zenon_L265_); trivial.
% 11.04/11.27 apply (zenon_L528_); trivial.
% 11.04/11.27 (* end of lemma zenon_L529_ *)
% 11.04/11.27 assert (zenon_L530_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H1f9 zenon_Hea zenon_H12e zenon_Ha1 zenon_H118 zenon_He9 zenon_Hcb.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H24 | zenon_intro zenon_H1fa ].
% 11.04/11.27 apply (zenon_L59_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H3f | zenon_intro zenon_H1fb ].
% 11.04/11.27 apply (zenon_L257_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_Hca ].
% 11.04/11.27 exact (zenon_H118 zenon_H11c).
% 11.04/11.27 apply (zenon_L303_); trivial.
% 11.04/11.27 (* end of lemma zenon_L530_ *)
% 11.04/11.27 assert (zenon_L531_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H1f9 zenon_Hea zenon_He9 zenon_H1f7 zenon_H1f zenon_H118 zenon_H121 zenon_Hd1.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H24 | zenon_intro zenon_H1fa ].
% 11.04/11.27 apply (zenon_L59_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H3f | zenon_intro zenon_H1fb ].
% 11.04/11.27 apply (zenon_L383_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_Hca ].
% 11.04/11.27 exact (zenon_H118 zenon_H11c).
% 11.04/11.27 apply (zenon_L338_); trivial.
% 11.04/11.27 (* end of lemma zenon_L531_ *)
% 11.04/11.27 assert (zenon_L532_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H1f9 zenon_Hea zenon_H141 zenon_H162 zenon_H118 zenon_He9 zenon_Hcb.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H24 | zenon_intro zenon_H1fa ].
% 11.04/11.27 apply (zenon_L59_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H3f | zenon_intro zenon_H1fb ].
% 11.04/11.27 apply (zenon_L381_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_Hca ].
% 11.04/11.27 exact (zenon_H118 zenon_H11c).
% 11.04/11.27 apply (zenon_L303_); trivial.
% 11.04/11.27 (* end of lemma zenon_L532_ *)
% 11.04/11.27 assert (zenon_L533_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_Hfd zenon_He0 zenon_Hd1 zenon_H121 zenon_H118 zenon_H1f zenon_H1f7 zenon_He9 zenon_H1f9 zenon_H80 zenon_Hec zenon_H68 zenon_H1ca.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ].
% 11.04/11.27 exact (zenon_He0 zenon_He3).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ].
% 11.04/11.27 apply (zenon_L531_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ].
% 11.04/11.27 apply (zenon_L60_); trivial.
% 11.04/11.27 apply (zenon_L509_); trivial.
% 11.04/11.27 (* end of lemma zenon_L533_ *)
% 11.04/11.27 assert (zenon_L534_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H1f9 zenon_Hea zenon_He9 zenon_H12e zenon_Ha1 zenon_H118 zenon_H121 zenon_Hd1.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H24 | zenon_intro zenon_H1fa ].
% 11.04/11.27 apply (zenon_L59_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H3f | zenon_intro zenon_H1fb ].
% 11.04/11.27 apply (zenon_L257_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_Hca ].
% 11.04/11.27 exact (zenon_H118 zenon_H11c).
% 11.04/11.27 apply (zenon_L338_); trivial.
% 11.04/11.27 (* end of lemma zenon_L534_ *)
% 11.04/11.27 assert (zenon_L535_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e2)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H1d4 zenon_H108 zenon_Hd1 zenon_H121 zenon_H118 zenon_Ha1 zenon_He9 zenon_Hea zenon_H1f9 zenon_H176 zenon_He1 zenon_He0 zenon_Hdd zenon_H84 zenon_H41 zenon_H37 zenon_H158 zenon_H156 zenon_H68 zenon_H1ca zenon_H1f4 zenon_H1a6 zenon_H6f.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ].
% 11.04/11.27 apply (zenon_L455_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ].
% 11.04/11.27 apply (zenon_L534_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ].
% 11.04/11.27 apply (zenon_L517_); trivial.
% 11.04/11.27 apply (zenon_L190_); trivial.
% 11.04/11.27 (* end of lemma zenon_L535_ *)
% 11.04/11.27 assert (zenon_L536_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H146 zenon_H2d zenon_H23 zenon_Hd3 zenon_H1d zenon_Hf7 zenon_H225 zenon_H244 zenon_H149 zenon_H81 zenon_H122 zenon_H7d zenon_H162 zenon_H1d4 zenon_H108 zenon_H121 zenon_H118 zenon_Ha1 zenon_He9 zenon_Hea zenon_H1f9 zenon_H176 zenon_He1 zenon_He0 zenon_Hdd zenon_H84 zenon_H41 zenon_H37 zenon_H158 zenon_H156 zenon_H68 zenon_H1ca zenon_H1f4 zenon_H1a6 zenon_H6f.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H11f | zenon_intro zenon_H147 ].
% 11.04/11.27 apply (zenon_L269_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H3f | zenon_intro zenon_H148 ].
% 11.04/11.27 apply (zenon_L82_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H12e | zenon_intro zenon_H141 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.04/11.27 apply (zenon_L348_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.04/11.27 apply (zenon_L529_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.04/11.27 apply (zenon_L530_); trivial.
% 11.04/11.27 apply (zenon_L535_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.04/11.27 apply (zenon_L348_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.04/11.27 apply (zenon_L529_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.04/11.27 apply (zenon_L532_); trivial.
% 11.04/11.27 apply (zenon_L535_); trivial.
% 11.04/11.27 (* end of lemma zenon_L536_ *)
% 11.04/11.27 assert (zenon_L537_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H1a7 zenon_Hea zenon_H10e.
% 11.04/11.27 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H10f | zenon_intro zenon_H110 ].
% 11.04/11.27 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e2)) = (op (e1) (e3)))).
% 11.04/11.27 intro zenon_D_pnotp.
% 11.04/11.27 apply zenon_H10e.
% 11.04/11.27 rewrite <- zenon_D_pnotp.
% 11.04/11.27 exact zenon_H10f.
% 11.04/11.27 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 11.04/11.27 cut (((op (e1) (e3)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H111].
% 11.04/11.27 congruence.
% 11.04/11.27 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (e3)) = (op (e1) (e2)))).
% 11.04/11.27 intro zenon_D_pnotp.
% 11.04/11.27 apply zenon_H111.
% 11.04/11.27 rewrite <- zenon_D_pnotp.
% 11.04/11.27 exact zenon_H1a7.
% 11.04/11.27 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Heb].
% 11.04/11.27 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 11.04/11.27 congruence.
% 11.04/11.27 apply zenon_H110. apply refl_equal.
% 11.04/11.27 apply zenon_Heb. apply sym_equal. exact zenon_Hea.
% 11.04/11.27 apply zenon_H110. apply refl_equal.
% 11.04/11.27 apply zenon_H110. apply refl_equal.
% 11.04/11.27 (* end of lemma zenon_L537_ *)
% 11.04/11.27 assert (zenon_L538_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_Hfd zenon_He0 zenon_H10e zenon_H1a7 zenon_H80 zenon_Hec zenon_H68 zenon_H1ca.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ].
% 11.04/11.27 exact (zenon_He0 zenon_He3).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ].
% 11.04/11.27 apply (zenon_L537_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ].
% 11.04/11.27 apply (zenon_L60_); trivial.
% 11.04/11.27 apply (zenon_L509_); trivial.
% 11.04/11.27 (* end of lemma zenon_L538_ *)
% 11.04/11.27 assert (zenon_L539_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e3))) -> ((op (e3) (e3)) = (e0)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_Hd3 zenon_H1d zenon_H81 zenon_H68 zenon_H225 zenon_H37 zenon_H41 zenon_Hf7 zenon_H176 zenon_H186 zenon_H38 zenon_H244 zenon_Ha1 zenon_H12e zenon_H1f9 zenon_Hea zenon_He9 zenon_H1f7 zenon_H1f zenon_H118 zenon_H121.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.04/11.27 apply (zenon_L348_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H101 | zenon_intro zenon_H245 ].
% 11.04/11.27 apply (zenon_L295_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H246 ].
% 11.04/11.27 apply (zenon_L531_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ].
% 11.04/11.27 apply (zenon_L528_); trivial.
% 11.04/11.27 apply (zenon_L265_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.04/11.27 apply (zenon_L530_); trivial.
% 11.04/11.27 apply (zenon_L531_); trivial.
% 11.04/11.27 (* end of lemma zenon_L539_ *)
% 11.04/11.27 assert (zenon_L540_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H225 zenon_H37 zenon_H41 zenon_He9 zenon_H118 zenon_H162 zenon_H141 zenon_Hea zenon_H1f9 zenon_H74 zenon_Hf7 zenon_H176.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Hdc | zenon_intro zenon_H226 ].
% 11.04/11.27 apply (zenon_L58_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hcb | zenon_intro zenon_H227 ].
% 11.04/11.27 apply (zenon_L532_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H65 | zenon_intro zenon_H153 ].
% 11.04/11.27 apply (zenon_L67_); trivial.
% 11.04/11.27 exact (zenon_H176 zenon_H153).
% 11.04/11.27 (* end of lemma zenon_L540_ *)
% 11.04/11.27 assert (zenon_L541_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H244 zenon_H38 zenon_H186 zenon_H121 zenon_H1f zenon_H1f7 zenon_H176 zenon_Hf7 zenon_H1f9 zenon_Hea zenon_H141 zenon_H162 zenon_H118 zenon_He9 zenon_H41 zenon_H37 zenon_H225 zenon_H68 zenon_H81.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H101 | zenon_intro zenon_H245 ].
% 11.04/11.27 apply (zenon_L295_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H246 ].
% 11.04/11.27 apply (zenon_L531_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ].
% 11.04/11.27 apply (zenon_L540_); trivial.
% 11.04/11.27 apply (zenon_L265_); trivial.
% 11.04/11.27 (* end of lemma zenon_L541_ *)
% 11.04/11.27 assert (zenon_L542_ : ((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))) -> ((op (e3) (e3)) = (e0)) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e3)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H16e zenon_H68 zenon_H109 zenon_H153.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H176 | zenon_intro zenon_H7c ].
% 11.04/11.27 exact (zenon_H176 zenon_H153).
% 11.04/11.27 apply (zenon_L129_); trivial.
% 11.04/11.27 (* end of lemma zenon_L542_ *)
% 11.04/11.27 assert (zenon_L543_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H180 zenon_H171 zenon_H109 zenon_H23 zenon_H42 zenon_H117 zenon_Ha5 zenon_H1f zenon_H118 zenon_Hcc zenon_Hfc zenon_H1a9.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.04/11.27 exact (zenon_H171 zenon_H175).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.04/11.27 apply (zenon_L388_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.04/11.27 apply (zenon_L36_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.04/11.27 apply (zenon_L224_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.04/11.27 exact (zenon_H118 zenon_H11c).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.04/11.27 apply (zenon_L140_); trivial.
% 11.04/11.27 apply (zenon_L478_); trivial.
% 11.04/11.27 (* end of lemma zenon_L543_ *)
% 11.04/11.27 assert (zenon_L544_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H180 zenon_H171 zenon_H109 zenon_H23 zenon_Hfc zenon_Hdd zenon_H123 zenon_H37.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.04/11.27 exact (zenon_H171 zenon_H175).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.04/11.27 apply (zenon_L388_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.04/11.27 apply (zenon_L145_); trivial.
% 11.04/11.27 apply (zenon_L455_); trivial.
% 11.04/11.27 (* end of lemma zenon_L544_ *)
% 11.04/11.27 assert (zenon_L545_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H180 zenon_H171 zenon_H109 zenon_H23 zenon_Hdd zenon_H117 zenon_H37 zenon_H186 zenon_H118 zenon_Hcc zenon_Hfc zenon_H1a9.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.04/11.27 exact (zenon_H171 zenon_H175).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.04/11.27 apply (zenon_L388_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.04/11.27 apply (zenon_L145_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.04/11.27 apply (zenon_L457_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.04/11.27 exact (zenon_H118 zenon_H11c).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.04/11.27 apply (zenon_L140_); trivial.
% 11.04/11.27 apply (zenon_L478_); trivial.
% 11.04/11.27 (* end of lemma zenon_L545_ *)
% 11.04/11.27 assert (zenon_L546_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_He1 zenon_He0 zenon_Hc3 zenon_H1dd zenon_H9c zenon_H84 zenon_H41 zenon_H37.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ].
% 11.04/11.27 exact (zenon_He0 zenon_He3).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ].
% 11.04/11.27 apply (zenon_L280_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ].
% 11.04/11.27 apply (zenon_L33_); trivial.
% 11.04/11.27 apply (zenon_L58_); trivial.
% 11.04/11.27 (* end of lemma zenon_L546_ *)
% 11.04/11.27 assert (zenon_L547_ : (((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\(((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2)))))))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H222 zenon_Hf5 zenon_Hcc zenon_H81 zenon_H37 zenon_H16f zenon_H169 zenon_H1a6 zenon_H10e zenon_H200 zenon_H70 zenon_H7d zenon_Hf7 zenon_H143 zenon_Hf8 zenon_H1b9 zenon_H1f7 zenon_H1f9 zenon_H244 zenon_H121 zenon_H225 zenon_H162 zenon_H146 zenon_He9 zenon_Hec zenon_Hfd zenon_H38 zenon_H2d zenon_H1da zenon_H127 zenon_H122 zenon_H12a zenon_H125 zenon_H104 zenon_H1f4 zenon_H140 zenon_H158 zenon_H68 zenon_H1ca zenon_H13a zenon_H109 zenon_Ha5 zenon_H180 zenon_Ha1 zenon_Hdd zenon_H84 zenon_Hb9 zenon_H1d4 zenon_Hc5 zenon_H172 zenon_H117 zenon_H1d zenon_Hbc zenon_H75 zenon_H12d zenon_H20c zenon_H149 zenon_Hd3 zenon_H24d zenon_H1dd zenon_H41 zenon_He1 zenon_H1a9 zenon_Hd6 zenon_H32 zenon_H219 zenon_H88 zenon_H69 zenon_H173 zenon_H1f0 zenon_H19c.
% 11.04/11.27 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H224. zenon_intro zenon_H223.
% 11.04/11.27 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H254. zenon_intro zenon_H253.
% 11.04/11.27 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H256. zenon_intro zenon_H255.
% 11.04/11.27 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H258. zenon_intro zenon_H257.
% 11.04/11.27 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H16d. zenon_intro zenon_H259.
% 11.04/11.27 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H174. zenon_intro zenon_H25a.
% 11.04/11.27 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H256. zenon_intro zenon_H16e.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H171 | zenon_intro zenon_He3 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_Hc3 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfc ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H176 | zenon_intro zenon_H7c ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.04/11.27 apply (zenon_L468_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.04/11.27 apply (zenon_L447_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.04/11.27 apply (zenon_L8_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.04/11.27 apply (zenon_L269_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.27 apply (zenon_L8_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.27 apply (zenon_L56_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.27 apply (zenon_L508_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.04/11.27 apply (zenon_L388_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.04/11.27 exact (zenon_H118 zenon_H11c).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.04/11.27 apply (zenon_L502_); trivial.
% 11.04/11.27 apply (zenon_L510_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.27 apply (zenon_L158_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.27 apply (zenon_L56_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.04/11.27 apply (zenon_L347_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.04/11.27 apply (zenon_L457_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.04/11.27 exact (zenon_H118 zenon_H11c).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.04/11.27 apply (zenon_L513_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.04/11.27 apply (zenon_L348_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.04/11.27 apply (zenon_L514_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.04/11.27 apply (zenon_L483_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.04/11.27 apply (zenon_L515_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.04/11.27 apply (zenon_L359_); trivial.
% 11.04/11.27 apply (zenon_L221_); trivial.
% 11.04/11.27 apply (zenon_L308_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.04/11.27 exact (zenon_Hbd zenon_Hc3).
% 11.04/11.27 apply (zenon_L449_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.04/11.27 exact (zenon_H171 zenon_H175).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.04/11.27 apply (zenon_L457_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.04/11.27 apply (zenon_L310_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ].
% 11.04/11.27 apply (zenon_L270_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ].
% 11.04/11.27 apply (zenon_L257_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ].
% 11.04/11.27 apply (zenon_L517_); trivial.
% 11.04/11.27 apply (zenon_L182_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.04/11.27 exact (zenon_Hbd zenon_Hc3).
% 11.04/11.27 apply (zenon_L449_); trivial.
% 11.04/11.27 apply (zenon_L518_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.04/11.27 apply (zenon_L8_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.04/11.27 apply (zenon_L269_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.27 apply (zenon_L8_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.04/11.27 exact (zenon_H171 zenon_H175).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.04/11.27 apply (zenon_L388_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.04/11.27 apply (zenon_L36_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.04/11.27 apply (zenon_L56_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.04/11.27 apply (zenon_L519_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H11f | zenon_intro zenon_H147 ].
% 11.04/11.27 apply (zenon_L269_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H3f | zenon_intro zenon_H148 ].
% 11.04/11.27 apply (zenon_L527_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H12e | zenon_intro zenon_H141 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.04/11.27 apply (zenon_L348_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.04/11.27 apply (zenon_L529_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.04/11.27 apply (zenon_L530_); trivial.
% 11.04/11.27 apply (zenon_L531_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.04/11.27 apply (zenon_L9_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.04/11.27 apply (zenon_L529_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.04/11.27 apply (zenon_L532_); trivial.
% 11.04/11.27 apply (zenon_L533_); trivial.
% 11.04/11.27 apply (zenon_L228_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.27 apply (zenon_L508_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.04/11.27 exact (zenon_H171 zenon_H175).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.04/11.27 apply (zenon_L388_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.04/11.27 apply (zenon_L36_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.04/11.27 exact (zenon_H171 zenon_H175).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.04/11.27 apply (zenon_L154_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.04/11.27 apply (zenon_L519_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.04/11.27 apply (zenon_L224_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.04/11.27 apply (zenon_L527_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.04/11.27 exact (zenon_Hbd zenon_Hc3).
% 11.04/11.27 apply (zenon_L536_); trivial.
% 11.04/11.27 apply (zenon_L538_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.04/11.27 apply (zenon_L109_); trivial.
% 11.04/11.27 apply (zenon_L518_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.27 apply (zenon_L158_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H11f | zenon_intro zenon_H147 ].
% 11.04/11.27 apply (zenon_L269_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H3f | zenon_intro zenon_H148 ].
% 11.04/11.27 apply (zenon_L383_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H12e | zenon_intro zenon_H141 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ].
% 11.04/11.27 exact (zenon_He0 zenon_He3).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ].
% 11.04/11.27 apply (zenon_L539_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ].
% 11.04/11.27 apply (zenon_L60_); trivial.
% 11.04/11.27 apply (zenon_L509_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ].
% 11.04/11.27 exact (zenon_He0 zenon_He3).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ].
% 11.04/11.27 apply (zenon_L541_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ].
% 11.04/11.27 apply (zenon_L60_); trivial.
% 11.04/11.27 apply (zenon_L509_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.27 apply (zenon_L483_); trivial.
% 11.04/11.27 apply (zenon_L484_); trivial.
% 11.04/11.27 apply (zenon_L404_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.04/11.27 exact (zenon_He0 zenon_He3).
% 11.04/11.27 apply (zenon_L21_); trivial.
% 11.04/11.27 exact (zenon_H79 zenon_H7c).
% 11.04/11.27 exact (zenon_H118 zenon_H11c).
% 11.04/11.27 exact (zenon_H171 zenon_H175).
% 11.04/11.27 apply (zenon_L542_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H176 | zenon_intro zenon_H7c ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.04/11.27 apply (zenon_L468_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.04/11.27 apply (zenon_L8_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.04/11.27 apply (zenon_L269_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.27 apply (zenon_L11_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.27 apply (zenon_L543_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.27 apply (zenon_L544_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ].
% 11.04/11.27 apply (zenon_L509_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ].
% 11.04/11.27 apply (zenon_L425_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ].
% 11.04/11.27 apply (zenon_L163_); trivial.
% 11.04/11.27 exact (zenon_H176 zenon_H153).
% 11.04/11.27 apply (zenon_L545_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.04/11.27 exact (zenon_He0 zenon_He3).
% 11.04/11.27 apply (zenon_L21_); trivial.
% 11.04/11.27 exact (zenon_H79 zenon_H7c).
% 11.04/11.27 exact (zenon_H171 zenon_H175).
% 11.04/11.27 apply (zenon_L542_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H176 | zenon_intro zenon_H7c ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.04/11.27 apply (zenon_L468_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.04/11.27 apply (zenon_L8_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.04/11.27 apply (zenon_L269_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.04/11.27 apply (zenon_L280_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.04/11.27 apply (zenon_L158_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.04/11.27 apply (zenon_L305_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.04/11.27 exact (zenon_H171 zenon_H175).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.04/11.27 apply (zenon_L457_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.04/11.27 apply (zenon_L270_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ].
% 11.04/11.27 apply (zenon_L509_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ].
% 11.04/11.27 apply (zenon_L167_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ].
% 11.04/11.27 apply (zenon_L252_); trivial.
% 11.04/11.27 exact (zenon_H176 zenon_H153).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ].
% 11.04/11.27 apply (zenon_L509_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ].
% 11.04/11.27 apply (zenon_L425_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ].
% 11.04/11.27 apply (zenon_L546_); trivial.
% 11.04/11.27 exact (zenon_H176 zenon_H153).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.04/11.27 exact (zenon_He0 zenon_He3).
% 11.04/11.27 apply (zenon_L21_); trivial.
% 11.04/11.27 exact (zenon_H79 zenon_H7c).
% 11.04/11.27 exact (zenon_H171 zenon_H175).
% 11.04/11.27 apply (zenon_L542_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ].
% 11.04/11.27 exact (zenon_He0 zenon_He3).
% 11.04/11.27 apply (zenon_L291_); trivial.
% 11.04/11.27 (* end of lemma zenon_L547_ *)
% 11.04/11.27 assert (zenon_L548_ : (((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\(((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H25b zenon_H68 zenon_H69 zenon_H37.
% 11.04/11.27 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25d. zenon_intro zenon_H25c.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H3c | zenon_intro zenon_H31 ].
% 11.04/11.27 exact (zenon_H3c zenon_H37).
% 11.04/11.27 apply (zenon_L21_); trivial.
% 11.04/11.27 (* end of lemma zenon_L548_ *)
% 11.04/11.27 assert (zenon_L549_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H14b zenon_Ha5 zenon_H1dd zenon_H9b zenon_H118 zenon_H13b zenon_H1e zenon_H8d zenon_H24 zenon_H38 zenon_H117 zenon_H75 zenon_H79 zenon_H70 zenon_H69 zenon_H78 zenon_Hdd zenon_H13a zenon_H132 zenon_H12d zenon_H12c zenon_H135 zenon_H12a zenon_H138 zenon_H7d zenon_H121 zenon_H88 zenon_H146 zenon_Hbd zenon_H2d zenon_He6 zenon_Hd6 zenon_H31 zenon_H81.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.27 apply (zenon_L8_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.27 apply (zenon_L30_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.04/11.27 exact (zenon_He6 zenon_H1f).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.04/11.27 apply (zenon_L10_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.04/11.27 exact (zenon_Hbd zenon_Hc3).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H11f | zenon_intro zenon_H147 ].
% 11.04/11.27 apply (zenon_L465_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H3f | zenon_intro zenon_H148 ].
% 11.04/11.27 apply (zenon_L82_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H12e | zenon_intro zenon_H141 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ].
% 11.04/11.27 apply (zenon_L94_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ].
% 11.04/11.27 apply (zenon_L19_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ].
% 11.04/11.27 apply (zenon_L51_); trivial.
% 11.04/11.27 apply (zenon_L24_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.04/11.27 exact (zenon_H118 zenon_H11c).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.04/11.27 apply (zenon_L512_); trivial.
% 11.04/11.27 apply (zenon_L78_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.04/11.27 apply (zenon_L30_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.04/11.27 apply (zenon_L44_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.04/11.27 apply (zenon_L19_); trivial.
% 11.04/11.27 apply (zenon_L102_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.04/11.27 exact (zenon_H118 zenon_H11c).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.04/11.27 apply (zenon_L512_); trivial.
% 11.04/11.27 apply (zenon_L78_); trivial.
% 11.04/11.27 apply (zenon_L73_); trivial.
% 11.04/11.27 (* end of lemma zenon_L549_ *)
% 11.04/11.27 assert (zenon_L550_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_Hd3 zenon_H95 zenon_H22 zenon_H89 zenon_H75 zenon_H79 zenon_H70 zenon_H31 zenon_H69 zenon_H78 zenon_Hcc zenon_H57 zenon_H24 zenon_H80 zenon_H81 zenon_H7d zenon_H6f zenon_H38.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.04/11.27 apply (zenon_L32_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.04/11.27 apply (zenon_L57_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.04/11.27 apply (zenon_L46_); trivial.
% 11.04/11.27 apply (zenon_L47_); trivial.
% 11.04/11.27 (* end of lemma zenon_L550_ *)
% 11.04/11.27 assert (zenon_L551_ : (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H79 zenon_H84 zenon_Hd3 zenon_H22 zenon_H75 zenon_H70 zenon_H69 zenon_H78 zenon_Hcc zenon_H57 zenon_H24 zenon_H80 zenon_H7d zenon_H38 zenon_H14b zenon_Ha5 zenon_H1dd zenon_H118 zenon_H13b zenon_H1e zenon_H117 zenon_Hdd zenon_H13a zenon_H132 zenon_H12d zenon_H12c zenon_H135 zenon_H12a zenon_H138 zenon_H121 zenon_H88 zenon_H146 zenon_Hbd zenon_H2d zenon_He6 zenon_Hd6 zenon_H9e zenon_H149 zenon_H9b zenon_H31 zenon_H81.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.27 apply (zenon_L8_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.04/11.27 exact (zenon_He6 zenon_H1f).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.04/11.27 apply (zenon_L10_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.04/11.27 exact (zenon_Hbd zenon_Hc3).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.04/11.27 apply (zenon_L549_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.04/11.27 apply (zenon_L550_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.04/11.27 apply (zenon_L33_); trivial.
% 11.04/11.27 exact (zenon_H79 zenon_H7c).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.27 apply (zenon_L107_); trivial.
% 11.04/11.27 apply (zenon_L73_); trivial.
% 11.04/11.27 (* end of lemma zenon_L551_ *)
% 11.04/11.27 assert (zenon_L552_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e2)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_H2d zenon_H24 zenon_Hbd zenon_H117 zenon_H104 zenon_H118 zenon_H79 zenon_H113 zenon_H103 zenon_H10e zenon_H31 zenon_H109 zenon_H119 zenon_Ha5.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.04/11.27 exact (zenon_He6 zenon_H1f).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.04/11.27 apply (zenon_L10_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.04/11.27 exact (zenon_Hbd zenon_Hc3).
% 11.04/11.27 apply (zenon_L79_); trivial.
% 11.04/11.27 (* end of lemma zenon_L552_ *)
% 11.04/11.27 assert (zenon_L553_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H172 zenon_H171 zenon_H84 zenon_Hd3 zenon_H22 zenon_Hcc zenon_H1dd zenon_H88 zenon_H9e zenon_H149 zenon_He1 zenon_H119 zenon_H109 zenon_H10e zenon_H113 zenon_H104 zenon_H117 zenon_H14b zenon_H38 zenon_Hfd zenon_He0 zenon_H24 zenon_He9 zenon_H2d zenon_Hbe zenon_H143 zenon_Hf9 zenon_Hdd zenon_Hec zenon_H80 zenon_Hf8 zenon_Hbd zenon_H140 zenon_H1e zenon_H13b zenon_H41 zenon_H75 zenon_H79 zenon_H70 zenon_H69 zenon_H78 zenon_H46 zenon_H7d zenon_H138 zenon_H12a zenon_H135 zenon_H12c zenon_H12d zenon_H132 zenon_H118 zenon_H13a zenon_H127 zenon_H122 zenon_H125 zenon_Hf5 zenon_Hf7 zenon_H121 zenon_Ha5 zenon_H146 zenon_He6 zenon_Hd6 zenon_H31 zenon_H81.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.04/11.27 exact (zenon_H171 zenon_H175).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.04/11.27 exact (zenon_He6 zenon_H1f).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.04/11.27 apply (zenon_L10_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.04/11.27 exact (zenon_Hbd zenon_Hc3).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ].
% 11.04/11.27 exact (zenon_He0 zenon_He3).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ].
% 11.04/11.27 apply (zenon_L59_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ].
% 11.04/11.27 apply (zenon_L55_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 11.04/11.27 apply (zenon_L11_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 11.04/11.27 exact (zenon_Hbd zenon_Hc3).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 11.04/11.27 apply (zenon_L25_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ].
% 11.04/11.27 exact (zenon_He0 zenon_He3).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ].
% 11.04/11.27 apply (zenon_L27_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ].
% 11.04/11.27 apply (zenon_L551_); trivial.
% 11.04/11.27 apply (zenon_L69_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.04/11.27 apply (zenon_L552_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.27 apply (zenon_L8_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.27 apply (zenon_L30_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.04/11.27 exact (zenon_He6 zenon_H1f).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.04/11.27 apply (zenon_L10_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.04/11.27 exact (zenon_Hbd zenon_Hc3).
% 11.04/11.27 apply (zenon_L112_); trivial.
% 11.04/11.27 apply (zenon_L73_); trivial.
% 11.04/11.27 (* end of lemma zenon_L553_ *)
% 11.04/11.27 assert (zenon_L554_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_Hbc zenon_Hd6 zenon_He6 zenon_H146 zenon_Ha5 zenon_H121 zenon_Hf7 zenon_Hf5 zenon_H125 zenon_H122 zenon_H127 zenon_H13a zenon_H118 zenon_H132 zenon_H12d zenon_H12c zenon_H135 zenon_H12a zenon_H138 zenon_H46 zenon_H13b zenon_H140 zenon_Hf8 zenon_Hec zenon_Hdd zenon_Hf9 zenon_H143 zenon_He9 zenon_He0 zenon_Hfd zenon_H38 zenon_H14b zenon_H117 zenon_H104 zenon_H113 zenon_H10e zenon_H109 zenon_H119 zenon_He1 zenon_H149 zenon_H9e zenon_H88 zenon_H1dd zenon_Hcc zenon_H22 zenon_Hd3 zenon_H84 zenon_H171 zenon_H172 zenon_Ha1 zenon_H75 zenon_H79 zenon_H6f zenon_H70 zenon_H69 zenon_H78 zenon_H81 zenon_H57 zenon_H24 zenon_H7d zenon_H2d zenon_Hbd zenon_H41 zenon_H1e zenon_Hbe zenon_Hb9 zenon_H31.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.04/11.27 apply (zenon_L553_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.04/11.27 apply (zenon_L35_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.04/11.27 apply (zenon_L55_); trivial.
% 11.04/11.27 apply (zenon_L41_); trivial.
% 11.04/11.27 (* end of lemma zenon_L554_ *)
% 11.04/11.27 assert (zenon_L555_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H13b zenon_H1e zenon_H8d zenon_H1f7 zenon_H3d zenon_H149 zenon_H135 zenon_H31 zenon_H12c zenon_H12e zenon_H130 zenon_H12d zenon_H132.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.04/11.27 apply (zenon_L30_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.04/11.27 apply (zenon_L321_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.04/11.27 apply (zenon_L389_); trivial.
% 11.04/11.27 apply (zenon_L92_); trivial.
% 11.04/11.27 (* end of lemma zenon_L555_ *)
% 11.04/11.27 assert (zenon_L556_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H9e zenon_H132 zenon_H12d zenon_H130 zenon_H12e zenon_H12c zenon_H31 zenon_H135 zenon_H149 zenon_H1f7 zenon_H1e zenon_H13b zenon_H24 zenon_H3d zenon_H9b zenon_H84 zenon_H79.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.04/11.27 apply (zenon_L555_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.04/11.27 apply (zenon_L32_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.04/11.27 apply (zenon_L33_); trivial.
% 11.04/11.27 exact (zenon_H79 zenon_H7c).
% 11.04/11.27 (* end of lemma zenon_L556_ *)
% 11.04/11.27 assert (zenon_L557_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_Hbe zenon_Ha5 zenon_H9b zenon_Hbd zenon_Ha9 zenon_H2d zenon_H140 zenon_H141.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 11.04/11.27 apply (zenon_L36_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 11.04/11.27 exact (zenon_Hbd zenon_Hc3).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 11.04/11.27 apply (zenon_L37_); trivial.
% 11.04/11.27 apply (zenon_L96_); trivial.
% 11.04/11.27 (* end of lemma zenon_L557_ *)
% 11.04/11.27 assert (zenon_L558_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_Hbc zenon_H81 zenon_H4c zenon_H24 zenon_Ha1 zenon_H141 zenon_H140 zenon_H2d zenon_Hbd zenon_H9b zenon_Ha5 zenon_Hbe zenon_Hb9 zenon_H31.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.04/11.27 apply (zenon_L26_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.04/11.27 apply (zenon_L35_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.04/11.27 apply (zenon_L557_); trivial.
% 11.04/11.27 apply (zenon_L41_); trivial.
% 11.04/11.27 (* end of lemma zenon_L558_ *)
% 11.04/11.27 assert (zenon_L559_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H12d zenon_H89 zenon_H5d.
% 11.04/11.27 cut (((op (e0) (e1)) = (e3)) = ((op (e0) (e1)) = (op (e2) (e1)))).
% 11.04/11.27 intro zenon_D_pnotp.
% 11.04/11.27 apply zenon_H12d.
% 11.04/11.27 rewrite <- zenon_D_pnotp.
% 11.04/11.27 exact zenon_H89.
% 11.04/11.27 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 11.04/11.27 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 11.04/11.27 congruence.
% 11.04/11.27 apply zenon_H26. apply refl_equal.
% 11.04/11.27 apply zenon_H12b. apply sym_equal. exact zenon_H5d.
% 11.04/11.27 (* end of lemma zenon_L559_ *)
% 11.04/11.27 assert (zenon_L560_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H7d zenon_Hb9 zenon_Hbe zenon_Ha5 zenon_H9b zenon_Hbd zenon_H2d zenon_H140 zenon_H141 zenon_Ha1 zenon_H24 zenon_H81 zenon_Hbc zenon_H89 zenon_H12d zenon_H66 zenon_H38 zenon_H78 zenon_H69 zenon_H31 zenon_H70 zenon_H6f zenon_H79 zenon_H75.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ].
% 11.04/11.27 apply (zenon_L558_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ].
% 11.04/11.27 apply (zenon_L559_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ].
% 11.04/11.27 apply (zenon_L20_); trivial.
% 11.04/11.27 apply (zenon_L24_); trivial.
% 11.04/11.27 (* end of lemma zenon_L560_ *)
% 11.04/11.27 assert (zenon_L561_ : ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 11.04/11.27 do 0 intro. intros zenon_H1e zenon_H41 zenon_H75 zenon_H79 zenon_H6f zenon_H70 zenon_H31 zenon_H69 zenon_H78 zenon_H38 zenon_H12d zenon_H89 zenon_Hbc zenon_H81 zenon_H24 zenon_Ha1 zenon_H2d zenon_Hbd zenon_H9b zenon_Ha5 zenon_Hbe zenon_Hb9 zenon_H7d zenon_H140 zenon_H141.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 11.04/11.27 apply (zenon_L11_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 11.04/11.27 exact (zenon_Hbd zenon_Hc3).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 11.04/11.27 apply (zenon_L560_); trivial.
% 11.04/11.27 apply (zenon_L96_); trivial.
% 11.04/11.27 (* end of lemma zenon_L561_ *)
% 11.04/11.27 assert (zenon_L562_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e2)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> False).
% 11.04/11.27 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_H2d zenon_H24 zenon_Hbd zenon_H117 zenon_H104 zenon_H103 zenon_H118 zenon_H9b zenon_H1dd zenon_Ha5.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.04/11.27 exact (zenon_He6 zenon_H1f).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.04/11.27 apply (zenon_L10_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.04/11.27 exact (zenon_Hbd zenon_Hc3).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.04/11.27 apply (zenon_L74_); trivial.
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.04/11.27 exact (zenon_H118 zenon_H11c).
% 11.04/11.27 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.04/11.27 apply (zenon_L512_); trivial.
% 11.04/11.27 apply (zenon_L78_); trivial.
% 11.04/11.27 (* end of lemma zenon_L562_ *)
% 11.04/11.27 assert (zenon_L563_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> False).
% 11.04/11.28 do 0 intro. intros zenon_H20c zenon_Hc5 zenon_H150 zenon_He6 zenon_H104 zenon_H103 zenon_H95 zenon_H24.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_He5 | zenon_intro zenon_H20d ].
% 11.04/11.28 apply (zenon_L127_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f | zenon_intro zenon_H20e ].
% 11.04/11.28 exact (zenon_He6 zenon_H1f).
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H57 | zenon_intro zenon_H3d ].
% 11.04/11.28 apply (zenon_L74_); trivial.
% 11.04/11.28 apply (zenon_L32_); trivial.
% 11.04/11.28 (* end of lemma zenon_L563_ *)
% 11.04/11.28 assert (zenon_L564_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> False).
% 11.04/11.28 do 0 intro. intros zenon_Hf8 zenon_H169 zenon_H150 zenon_H78 zenon_H70 zenon_H16b zenon_H141 zenon_H1ca zenon_H1c5 zenon_H1af zenon_H1cd zenon_H18e zenon_Hf7 zenon_H9c zenon_Hf5 zenon_H1a4.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ].
% 11.04/11.28 apply (zenon_L405_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ].
% 11.04/11.28 apply (zenon_L176_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ].
% 11.04/11.28 apply (zenon_L163_); trivial.
% 11.04/11.28 exact (zenon_H1a4 zenon_H65).
% 11.04/11.28 (* end of lemma zenon_L564_ *)
% 11.04/11.28 assert (zenon_L565_ : ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 11.04/11.28 do 0 intro. intros zenon_H103 zenon_H104 zenon_He6 zenon_Hc5 zenon_H20c zenon_H1cd zenon_H1c5 zenon_H1ca zenon_H78 zenon_H169 zenon_H1ae zenon_H1af zenon_Hb9 zenon_H69 zenon_Hf8 zenon_H89 zenon_H132 zenon_H140 zenon_H16b zenon_H138 zenon_H150 zenon_H170 zenon_H19c zenon_Hc3 zenon_H198 zenon_H1e zenon_H32 zenon_H199 zenon_Hf7 zenon_H15e zenon_Hf5 zenon_H1a4 zenon_H141 zenon_Ha5 zenon_H14b zenon_H38 zenon_H81 zenon_He3 zenon_H149 zenon_H9e zenon_Hdd zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_H1ab zenon_Hba zenon_H18e zenon_H1a6 zenon_H70 zenon_H1a9.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.04/11.28 apply (zenon_L30_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.04/11.28 apply (zenon_L563_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.04/11.28 apply (zenon_L564_); trivial.
% 11.04/11.28 apply (zenon_L194_); trivial.
% 11.04/11.28 (* end of lemma zenon_L565_ *)
% 11.04/11.28 assert (zenon_L566_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 11.04/11.28 do 0 intro. intros zenon_H1a9 zenon_H70 zenon_H1a6 zenon_Hba zenon_H1ab zenon_Hbc zenon_H125 zenon_H24 zenon_Ha1 zenon_Hdd zenon_H9e zenon_H149 zenon_He3 zenon_H81 zenon_H38 zenon_H14b zenon_Ha5 zenon_H1a4 zenon_Hf5 zenon_H15e zenon_Hf7 zenon_H199 zenon_H32 zenon_H1e zenon_H198 zenon_Hc3 zenon_H19c zenon_H170 zenon_H150 zenon_H138 zenon_H140 zenon_H132 zenon_H89 zenon_Hf8 zenon_H69 zenon_Hb9 zenon_H1af zenon_H1ae zenon_H169 zenon_H78 zenon_H1ca zenon_H1c5 zenon_H1cd zenon_H20c zenon_Hc5 zenon_He6 zenon_H104 zenon_H103 zenon_H141 zenon_H16b.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ].
% 11.04/11.28 apply (zenon_L158_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ].
% 11.04/11.28 exact (zenon_H199 zenon_H6f).
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ].
% 11.04/11.28 apply (zenon_L565_); trivial.
% 11.04/11.28 apply (zenon_L177_); trivial.
% 11.04/11.28 (* end of lemma zenon_L566_ *)
% 11.04/11.28 assert (zenon_L567_ : (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> False).
% 11.04/11.28 do 0 intro. intros zenon_H155 zenon_H103 zenon_H104 zenon_He6 zenon_Hc5 zenon_H20c zenon_H1cd zenon_H1c5 zenon_H1ca zenon_H78 zenon_H169 zenon_H1ae zenon_H1af zenon_Hb9 zenon_H69 zenon_Hf8 zenon_H198 zenon_H32 zenon_H199 zenon_Hf7 zenon_H15e zenon_Hf5 zenon_H1a4 zenon_H14b zenon_H38 zenon_H81 zenon_He3 zenon_H149 zenon_Hdd zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_H1ab zenon_H1a6 zenon_H70 zenon_H1a9 zenon_Hc3 zenon_H19c zenon_H9e zenon_H1e zenon_Hba zenon_H89 zenon_H132 zenon_H140 zenon_H16b zenon_H138 zenon_H150 zenon_H170 zenon_Ha5.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.04/11.28 apply (zenon_L120_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.04/11.28 apply (zenon_L566_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.04/11.28 apply (zenon_L167_); trivial.
% 11.04/11.28 apply (zenon_L199_); trivial.
% 11.04/11.28 (* end of lemma zenon_L567_ *)
% 11.04/11.28 assert (zenon_L568_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e2) (e3)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 11.04/11.28 do 0 intro. intros zenon_H19e zenon_Ha5 zenon_H170 zenon_H138 zenon_H16b zenon_H140 zenon_H132 zenon_H89 zenon_Hba zenon_H9e zenon_H19c zenon_Hc3 zenon_H1a9 zenon_H70 zenon_H1a6 zenon_H1ab zenon_Hbc zenon_H24 zenon_Ha1 zenon_Hdd zenon_H149 zenon_He3 zenon_H81 zenon_H38 zenon_H14b zenon_H1a4 zenon_Hf5 zenon_H15e zenon_Hf7 zenon_H199 zenon_H32 zenon_H198 zenon_Hf8 zenon_H69 zenon_Hb9 zenon_H1af zenon_H1ae zenon_H169 zenon_H78 zenon_H1ca zenon_H1c5 zenon_H1cd zenon_H20c zenon_Hc5 zenon_He6 zenon_H104 zenon_H155 zenon_H12d zenon_H1e zenon_H46 zenon_Hec zenon_H122 zenon_H150 zenon_H125 zenon_H127 zenon_H19f.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.04/11.28 apply (zenon_L567_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.04/11.28 apply (zenon_L90_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.04/11.28 apply (zenon_L144_); trivial.
% 11.04/11.28 exact (zenon_H19f zenon_H114).
% 11.04/11.28 (* end of lemma zenon_L568_ *)
% 11.04/11.28 assert (zenon_L569_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.04/11.28 do 0 intro. intros zenon_H166 zenon_H19f zenon_H127 zenon_H125 zenon_H122 zenon_Hec zenon_H46 zenon_H1e zenon_H12d zenon_H155 zenon_H104 zenon_He6 zenon_Hc5 zenon_H20c zenon_H1cd zenon_H1c5 zenon_H1ca zenon_H78 zenon_H169 zenon_H1ae zenon_H1af zenon_Hb9 zenon_H69 zenon_Hf8 zenon_H198 zenon_H32 zenon_H199 zenon_Hf7 zenon_H15e zenon_Hf5 zenon_H1a4 zenon_H14b zenon_H38 zenon_H81 zenon_H149 zenon_Hdd zenon_Ha1 zenon_Hbc zenon_H1ab zenon_H1a6 zenon_H70 zenon_H1a9 zenon_Hc3 zenon_H19c zenon_H9e zenon_H89 zenon_H132 zenon_H140 zenon_H16b zenon_H138 zenon_H170 zenon_Ha5 zenon_H19e zenon_H24 zenon_H162 zenon_He3 zenon_H84 zenon_Hba zenon_H75.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.04/11.28 apply (zenon_L568_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.04/11.28 apply (zenon_L128_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.04/11.28 apply (zenon_L157_); trivial.
% 11.04/11.28 apply (zenon_L221_); trivial.
% 11.04/11.28 (* end of lemma zenon_L569_ *)
% 11.04/11.28 assert (zenon_L570_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> False).
% 11.04/11.28 do 0 intro. intros zenon_H1b9 zenon_H109 zenon_H101 zenon_H1a9 zenon_H10e zenon_H199 zenon_H1a6 zenon_Hba zenon_H1ab zenon_H103 zenon_Hec zenon_Hf8 zenon_He3 zenon_Hdd zenon_Hcc zenon_Hc3 zenon_Hf5 zenon_H1a4.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ].
% 11.04/11.28 apply (zenon_L206_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ].
% 11.04/11.28 apply (zenon_L204_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ].
% 11.04/11.28 apply (zenon_L143_); trivial.
% 11.04/11.28 apply (zenon_L208_); trivial.
% 11.04/11.28 (* end of lemma zenon_L570_ *)
% 11.04/11.28 assert (zenon_L571_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e1) (e3)) = (e1))) -> ((op (e3) (e0)) = (e2)) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e0)) -> False).
% 11.04/11.28 do 0 intro. intros zenon_H198 zenon_H38 zenon_H101 zenon_H199 zenon_H8d zenon_H2d zenon_H68.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ].
% 11.04/11.28 apply (zenon_L295_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ].
% 11.04/11.28 exact (zenon_H199 zenon_H6f).
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ].
% 11.04/11.28 apply (zenon_L161_); trivial.
% 11.04/11.28 apply (zenon_L165_); trivial.
% 11.04/11.28 (* end of lemma zenon_L571_ *)
% 11.04/11.28 assert (zenon_L572_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e1) (e3)) = (e1))) -> ((op (e3) (e0)) = (e2)) -> (~((e0) = (e1))) -> False).
% 11.04/11.28 do 0 intro. intros zenon_H166 zenon_H1e zenon_H46 zenon_Hec zenon_Hfc zenon_H122 zenon_H125 zenon_H127 zenon_H24 zenon_H162 zenon_He3 zenon_H84 zenon_H198 zenon_H38 zenon_H101 zenon_H199 zenon_H8d zenon_H2d.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.04/11.28 apply (zenon_L144_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.04/11.28 apply (zenon_L128_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.04/11.28 apply (zenon_L157_); trivial.
% 11.04/11.28 apply (zenon_L571_); trivial.
% 11.04/11.28 (* end of lemma zenon_L572_ *)
% 11.04/11.28 assert (zenon_L573_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e1) (e3)) = (e1))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 11.04/11.28 do 0 intro. intros zenon_H19e zenon_H1a4 zenon_Hf5 zenon_Hc3 zenon_Hcc zenon_Hdd zenon_Hf8 zenon_H10c zenon_H10e zenon_H109 zenon_H1b9 zenon_H12d zenon_H2d zenon_H8d zenon_H199 zenon_H101 zenon_H38 zenon_H198 zenon_H84 zenon_He3 zenon_H133 zenon_H81 zenon_H127 zenon_H125 zenon_H122 zenon_Hec zenon_H46 zenon_H1e zenon_H166 zenon_H19f.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.04/11.28 apply (zenon_L209_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.04/11.28 apply (zenon_L90_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.04/11.28 apply (zenon_L144_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.04/11.28 apply (zenon_L244_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.04/11.28 apply (zenon_L157_); trivial.
% 11.04/11.28 apply (zenon_L571_); trivial.
% 11.04/11.28 exact (zenon_H19f zenon_H114).
% 11.04/11.28 (* end of lemma zenon_L573_ *)
% 11.04/11.28 assert (zenon_L574_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e1) (e3)) = (e1))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 11.04/11.28 do 0 intro. intros zenon_H117 zenon_Hb9 zenon_H7d zenon_H19c zenon_H32 zenon_Ha5 zenon_H9e zenon_H155 zenon_H15e zenon_H13b zenon_H1cc zenon_H24 zenon_H162 zenon_H149 zenon_H1a9 zenon_H1a6 zenon_H1ab zenon_Ha1 zenon_He5 zenon_H104 zenon_Hbc zenon_H19e zenon_H1a4 zenon_Hf5 zenon_Hc3 zenon_Hcc zenon_Hdd zenon_Hf8 zenon_H10e zenon_H109 zenon_H1b9 zenon_H12d zenon_H2d zenon_H8d zenon_H199 zenon_H101 zenon_H38 zenon_H198 zenon_H84 zenon_He3 zenon_H81 zenon_H127 zenon_H125 zenon_H122 zenon_Hec zenon_H46 zenon_H1e zenon_H166 zenon_H19f.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.04/11.28 apply (zenon_L203_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.04/11.28 apply (zenon_L149_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.04/11.28 apply (zenon_L205_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.04/11.28 apply (zenon_L30_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.04/11.28 exact (zenon_H1cc zenon_Hca).
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.04/11.28 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.04/11.28 apply (zenon_L154_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.04/11.28 apply (zenon_L35_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.04/11.28 apply (zenon_L155_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.04/11.28 apply (zenon_L570_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.04/11.28 apply (zenon_L389_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.04/11.28 apply (zenon_L572_); trivial.
% 11.04/11.28 exact (zenon_H19f zenon_H114).
% 11.04/11.28 apply (zenon_L573_); trivial.
% 11.04/11.28 (* end of lemma zenon_L574_ *)
% 11.04/11.28 assert (zenon_L575_ : (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.04/11.28 do 0 intro. intros zenon_H3c zenon_H199 zenon_H166 zenon_H170 zenon_H138 zenon_H16b zenon_H140 zenon_H132 zenon_Hf7 zenon_H32 zenon_H198 zenon_H69 zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_H84 zenon_H15e zenon_H155 zenon_H109 zenon_Hf8 zenon_Hdd zenon_Hcc zenon_Hf5 zenon_H1a4 zenon_Ha5 zenon_H14b zenon_H38 zenon_H1e zenon_H9e zenon_H19c zenon_H2d zenon_He6 zenon_Hd6 zenon_H81 zenon_He3 zenon_H108 zenon_H149.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.28 exact (zenon_H3c zenon_H37).
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.28 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.04/11.28 exact (zenon_He6 zenon_H1f).
% 11.04/11.28 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.04/11.28 apply (zenon_L10_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.04/11.28 apply (zenon_L218_); trivial.
% 11.04/11.28 exact (zenon_H199 zenon_H6f).
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.28 apply (zenon_L183_); trivial.
% 11.04/11.28 apply (zenon_L184_); trivial.
% 11.04/11.28 (* end of lemma zenon_L575_ *)
% 11.04/11.28 assert (zenon_L576_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False).
% 11.04/11.28 do 0 intro. intros zenon_H180 zenon_H19e zenon_Hcc zenon_H1ab zenon_H1a6 zenon_H10e zenon_H1a9 zenon_H1b9 zenon_H12d zenon_Hec zenon_H122 zenon_H127 zenon_H19f zenon_H155 zenon_H104 zenon_Hc5 zenon_H20c zenon_H1cd zenon_H1c5 zenon_H1ca zenon_H78 zenon_H169 zenon_H1ae zenon_H1af zenon_Hb9 zenon_H70 zenon_H109 zenon_H3c zenon_H199 zenon_Hbc zenon_H125 zenon_H24 zenon_Ha1 zenon_Hdd zenon_H2d zenon_H69 zenon_Hf8 zenon_H198 zenon_H32 zenon_Hf7 zenon_H15e zenon_Hf5 zenon_H1a4 zenon_H14b zenon_H38 zenon_H19c zenon_H9e zenon_H1e zenon_H132 zenon_H140 zenon_H16b zenon_H138 zenon_H150 zenon_H170 zenon_Ha5 zenon_He6 zenon_Hd6 zenon_H81 zenon_He3 zenon_H149.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.04/11.28 apply (zenon_L151_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.04/11.28 exact (zenon_H3c zenon_H37).
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.04/11.28 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.04/11.28 exact (zenon_He6 zenon_H1f).
% 11.04/11.28 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.04/11.28 apply (zenon_L10_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.04/11.28 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.04/11.28 apply (zenon_L113_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.04/11.28 apply (zenon_L35_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.04/11.28 apply (zenon_L155_); trivial.
% 11.04/11.28 apply (zenon_L568_); trivial.
% 11.04/11.28 exact (zenon_H199 zenon_H6f).
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.04/11.28 apply (zenon_L183_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.04/11.28 exact (zenon_He6 zenon_H1f).
% 11.04/11.28 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.04/11.28 apply (zenon_L10_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.04/11.28 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.04/11.28 apply (zenon_L113_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.04/11.28 apply (zenon_L35_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.04/11.28 apply (zenon_L155_); trivial.
% 11.04/11.28 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.28 apply (zenon_L570_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.28 apply (zenon_L90_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.28 apply (zenon_L144_); trivial.
% 11.15/11.28 exact (zenon_H19f zenon_H114).
% 11.15/11.28 exact (zenon_H199 zenon_H6f).
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.28 apply (zenon_L206_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.28 exact (zenon_H3c zenon_H37).
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.28 exact (zenon_He6 zenon_H1f).
% 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.28 apply (zenon_L10_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.28 apply (zenon_L212_); trivial.
% 11.15/11.28 exact (zenon_H199 zenon_H6f).
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.28 apply (zenon_L183_); trivial.
% 11.15/11.28 apply (zenon_L184_); trivial.
% 11.15/11.28 (* end of lemma zenon_L576_ *)
% 11.15/11.28 assert (zenon_L577_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.28 do 0 intro. intros zenon_H7d zenon_H1e zenon_H46 zenon_H89 zenon_H12d zenon_H1a4 zenon_H73 zenon_H75.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ].
% 11.15/11.28 apply (zenon_L16_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ].
% 11.15/11.28 apply (zenon_L559_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ].
% 11.15/11.28 exact (zenon_H1a4 zenon_H65).
% 11.15/11.28 apply (zenon_L23_); trivial.
% 11.15/11.28 (* end of lemma zenon_L577_ *)
% 11.15/11.28 assert (zenon_L578_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 11.15/11.28 do 0 intro. intros zenon_H14b zenon_H3c zenon_H75 zenon_H1a4 zenon_H12d zenon_H46 zenon_H1e zenon_H7d zenon_H81 zenon_He3 zenon_H69 zenon_H73.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.28 exact (zenon_H3c zenon_H37).
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.28 apply (zenon_L577_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.28 apply (zenon_L183_); trivial.
% 11.15/11.28 apply (zenon_L258_); trivial.
% 11.15/11.28 (* end of lemma zenon_L578_ *)
% 11.15/11.28 assert (zenon_L579_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.28 do 0 intro. intros zenon_H7d zenon_H125 zenon_Hc4 zenon_H89 zenon_H12d zenon_H1a4 zenon_H73 zenon_H75.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ].
% 11.15/11.28 apply (zenon_L461_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ].
% 11.15/11.28 apply (zenon_L559_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ].
% 11.15/11.28 exact (zenon_H1a4 zenon_H65).
% 11.15/11.28 apply (zenon_L23_); trivial.
% 11.15/11.28 (* end of lemma zenon_L579_ *)
% 11.15/11.28 assert (zenon_L580_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 11.15/11.28 do 0 intro. intros zenon_H1ae zenon_H1a7 zenon_H18e zenon_H114 zenon_Hb9 zenon_H1a9 zenon_Hd1.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ].
% 11.15/11.28 apply (zenon_L328_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ].
% 11.15/11.28 apply (zenon_L182_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ].
% 11.15/11.28 apply (zenon_L227_); trivial.
% 11.15/11.28 apply (zenon_L192_); trivial.
% 11.15/11.28 (* end of lemma zenon_L580_ *)
% 11.15/11.28 assert (zenon_L581_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 11.15/11.28 do 0 intro. intros zenon_H1ae zenon_H1af zenon_H18e zenon_Hb9 zenon_H1ab zenon_H70 zenon_H68 zenon_H199 zenon_H114 zenon_H1a6 zenon_H1a9.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ].
% 11.15/11.28 exact (zenon_H1af zenon_H31).
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ].
% 11.15/11.28 apply (zenon_L182_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ].
% 11.15/11.28 apply (zenon_L227_); trivial.
% 11.15/11.28 apply (zenon_L245_); trivial.
% 11.15/11.28 (* end of lemma zenon_L581_ *)
% 11.15/11.28 assert (zenon_L582_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> False).
% 11.15/11.28 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_Ha1 zenon_H122 zenon_H1d4 zenon_H2d zenon_H19c zenon_H198 zenon_H1e zenon_H32 zenon_H109 zenon_H1ae zenon_H1af zenon_Hb9 zenon_H1ab zenon_H1c5 zenon_H1ca zenon_H16b zenon_H70 zenon_H78 zenon_H114 zenon_H1a6 zenon_H1a9 zenon_Ha5 zenon_Hc4 zenon_H149 zenon_H9e zenon_H38 zenon_H15e zenon_H84 zenon_He3 zenon_H1cd zenon_H69 zenon_H166 zenon_H81 zenon_H46 zenon_H1c4 zenon_Hc5 zenon_H89 zenon_H132 zenon_H65 zenon_Hf5 zenon_H3c zenon_Hd9 zenon_H155 zenon_Hcc zenon_H1cc zenon_Hd3 zenon_H199.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.28 exact (zenon_He6 zenon_H1f).
% 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.15/11.28 apply (zenon_L223_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.15/11.28 exact (zenon_H1cc zenon_Hca).
% 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.15/11.28 apply (zenon_L45_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ].
% 11.15/11.28 apply (zenon_L83_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ].
% 11.15/11.28 apply (zenon_L257_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ].
% 11.15/11.28 apply (zenon_L20_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H31 | zenon_intro zenon_H1ce ].
% 11.15/11.28 exact (zenon_H1af zenon_H31).
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1cf ].
% 11.15/11.28 apply (zenon_L580_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hba | zenon_intro zenon_H68 ].
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ].
% 11.15/11.28 exact (zenon_H1af zenon_H31).
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ].
% 11.15/11.28 apply (zenon_L158_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ].
% 11.15/11.28 apply (zenon_L227_); trivial.
% 11.15/11.28 apply (zenon_L238_); trivial.
% 11.15/11.28 apply (zenon_L581_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.28 apply (zenon_L241_); trivial.
% 11.15/11.28 exact (zenon_H199 zenon_H6f).
% 11.15/11.28 (* end of lemma zenon_L582_ *)
% 11.15/11.28 assert (zenon_L583_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> False).
% 11.15/11.28 do 0 intro. intros zenon_Hec zenon_Hd6 zenon_He6 zenon_Ha1 zenon_H122 zenon_H1d4 zenon_H2d zenon_H19c zenon_H198 zenon_H1e zenon_H32 zenon_H109 zenon_H1ae zenon_H1af zenon_Hb9 zenon_H1ab zenon_H1c5 zenon_H1ca zenon_H16b zenon_H70 zenon_H78 zenon_H114 zenon_H1a6 zenon_H1a9 zenon_Ha5 zenon_H149 zenon_H9e zenon_H38 zenon_H15e zenon_H84 zenon_He3 zenon_H1cd zenon_H69 zenon_H166 zenon_H81 zenon_H46 zenon_H1c4 zenon_Hc5 zenon_H89 zenon_H132 zenon_H65 zenon_Hf5 zenon_H3c zenon_Hd9 zenon_H155 zenon_Hcc zenon_H1cc zenon_Hd3 zenon_H199.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.28 exact (zenon_H3c zenon_H37).
% 11.15/11.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.28 apply (zenon_L223_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.28 apply (zenon_L246_); trivial.
% 11.15/11.28 apply (zenon_L582_); trivial.
% 11.15/11.28 (* end of lemma zenon_L583_ *)
% 11.15/11.28 assert (zenon_L584_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> False).
% 11.15/11.28 do 0 intro. intros zenon_Ha1 zenon_H11c zenon_H130.
% 11.15/11.28 cut (((op (e1) (e1)) = (e2)) = ((op (e1) (e1)) = (op (e2) (e1)))).
% 11.15/11.28 intro zenon_D_pnotp.
% 11.15/11.28 apply zenon_Ha1.
% 11.15/11.28 rewrite <- zenon_D_pnotp.
% 11.15/11.28 exact zenon_H11c.
% 11.15/11.28 cut (((e2) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H131].
% 11.15/11.28 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 11.15/11.28 congruence.
% 11.15/11.28 apply zenon_Ha4. apply refl_equal.
% 11.15/11.28 apply zenon_H131. apply sym_equal. exact zenon_H130.
% 11.15/11.28 (* end of lemma zenon_L584_ *)
% 11.15/11.28 assert (zenon_L585_ : ((op (e3) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e2))) -> False).
% 11.15/11.28 do 0 intro. intros zenon_H156 zenon_H8d zenon_Ha5.
% 11.15/11.28 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ].
% 11.15/11.28 cut (((e2) = (e2)) = ((e1) = (e2))).
% 11.15/11.28 intro zenon_D_pnotp.
% 11.15/11.28 apply zenon_Ha5.
% 11.15/11.28 rewrite <- zenon_D_pnotp.
% 11.15/11.28 exact zenon_Ha6.
% 11.15/11.28 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.15/11.28 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 11.15/11.28 congruence.
% 11.15/11.28 cut (((op (e3) (e0)) = (e1)) = ((e2) = (e1))).
% 11.15/11.28 intro zenon_D_pnotp.
% 11.15/11.28 apply zenon_Ha7.
% 11.15/11.28 rewrite <- zenon_D_pnotp.
% 11.15/11.28 exact zenon_H156.
% 11.15/11.28 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.15/11.28 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H25e].
% 11.15/11.28 congruence.
% 11.15/11.28 exact (zenon_H25e zenon_H8d).
% 11.15/11.28 apply zenon_H2f. apply refl_equal.
% 11.15/11.28 apply zenon_H45. apply refl_equal.
% 11.15/11.28 apply zenon_H45. apply refl_equal.
% 11.15/11.28 (* end of lemma zenon_L585_ *)
% 11.15/11.28 assert (zenon_L586_ : ((op (e3) (e3)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.28 do 0 intro. intros zenon_H7c zenon_H114 zenon_H75.
% 11.15/11.28 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ].
% 11.15/11.28 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e2) (e3)) = (op (e3) (e3)))).
% 11.15/11.28 intro zenon_D_pnotp.
% 11.15/11.28 apply zenon_H75.
% 11.15/11.28 rewrite <- zenon_D_pnotp.
% 11.15/11.28 exact zenon_H6a.
% 11.15/11.28 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.15/11.28 cut (((op (e3) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 11.15/11.28 congruence.
% 11.15/11.28 cut (((op (e3) (e3)) = (e2)) = ((op (e3) (e3)) = (op (e2) (e3)))).
% 11.15/11.28 intro zenon_D_pnotp.
% 11.15/11.28 apply zenon_H76.
% 11.15/11.28 rewrite <- zenon_D_pnotp.
% 11.15/11.28 exact zenon_H7c.
% 11.15/11.28 cut (((e2) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H115].
% 11.15/11.28 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 11.15/11.28 congruence.
% 11.15/11.28 apply zenon_H6b. apply refl_equal.
% 11.15/11.28 apply zenon_H115. apply sym_equal. exact zenon_H114.
% 11.15/11.28 apply zenon_H6b. apply refl_equal.
% 11.15/11.28 apply zenon_H6b. apply refl_equal.
% 11.15/11.28 (* end of lemma zenon_L586_ *)
% 11.15/11.28 assert (zenon_L587_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.28 do 0 intro. intros zenon_H9e zenon_Ha5 zenon_H156 zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_H114 zenon_H75.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.15/11.28 apply (zenon_L585_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.15/11.28 apply (zenon_L322_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.15/11.28 apply (zenon_L33_); trivial.
% 11.15/11.28 apply (zenon_L586_); trivial.
% 11.15/11.28 (* end of lemma zenon_L587_ *)
% 11.15/11.28 assert (zenon_L588_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.15/11.28 do 0 intro. intros zenon_H78 zenon_H165 zenon_H16b zenon_H141 zenon_H169 zenon_H8d zenon_H69 zenon_H101.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H68 | zenon_intro zenon_H7a ].
% 11.15/11.28 exact (zenon_H165 zenon_H68).
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H6e | zenon_intro zenon_H7b ].
% 11.15/11.28 apply (zenon_L177_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7c | zenon_intro zenon_H73 ].
% 11.15/11.28 apply (zenon_L133_); trivial.
% 11.15/11.28 apply (zenon_L258_); trivial.
% 11.15/11.28 (* end of lemma zenon_L588_ *)
% 11.15/11.28 assert (zenon_L589_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.28 do 0 intro. intros zenon_H1ae zenon_Hba zenon_H6f zenon_H1a9 zenon_H114 zenon_Hb9 zenon_H78 zenon_H165 zenon_H16b zenon_H141 zenon_H169 zenon_H8d zenon_H69.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ].
% 11.15/11.28 apply (zenon_L41_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ].
% 11.15/11.28 apply (zenon_L449_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ].
% 11.15/11.28 apply (zenon_L227_); trivial.
% 11.15/11.28 apply (zenon_L588_); trivial.
% 11.15/11.28 (* end of lemma zenon_L589_ *)
% 11.15/11.28 assert (zenon_L590_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.28 do 0 intro. intros zenon_H9e zenon_H69 zenon_H169 zenon_H16b zenon_H165 zenon_H78 zenon_Hb9 zenon_H1a9 zenon_H6f zenon_Hba zenon_H1ae zenon_Hdc zenon_H140 zenon_H141 zenon_H158 zenon_H150 zenon_H1f4 zenon_H9b zenon_H84 zenon_H114 zenon_H75.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.15/11.28 apply (zenon_L589_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.15/11.28 apply (zenon_L415_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.15/11.28 apply (zenon_L33_); trivial.
% 11.15/11.28 apply (zenon_L586_); trivial.
% 11.15/11.28 (* end of lemma zenon_L590_ *)
% 11.15/11.28 assert (zenon_L591_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.28 do 0 intro. intros zenon_Hbc zenon_H125 zenon_H23 zenon_H12d zenon_Haa zenon_H19e zenon_H14e zenon_Ha1 zenon_H15e zenon_H162 zenon_H11c zenon_Ha5 zenon_H75 zenon_H84 zenon_H9b zenon_H1f4 zenon_H150 zenon_H158 zenon_H140 zenon_Hdc zenon_H1ae zenon_H1a9 zenon_Hb9 zenon_H78 zenon_H165 zenon_H16b zenon_H169 zenon_H69 zenon_H9e zenon_H66 zenon_Hf5 zenon_H6f zenon_H70.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.15/11.28 apply (zenon_L113_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.15/11.28 apply (zenon_L515_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.15/11.28 exact (zenon_Haa zenon_Ha9).
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.28 exact (zenon_H14e zenon_H103).
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.28 apply (zenon_L584_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.28 apply (zenon_L147_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.15/11.28 apply (zenon_L587_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.15/11.28 apply (zenon_L590_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.15/11.28 apply (zenon_L66_); trivial.
% 11.15/11.28 apply (zenon_L22_); trivial.
% 11.15/11.28 (* end of lemma zenon_L591_ *)
% 11.15/11.28 assert (zenon_L592_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.28 do 0 intro. intros zenon_H9e zenon_Ha5 zenon_H156 zenon_H109 zenon_H163 zenon_H9b zenon_H84 zenon_H114 zenon_H75.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.15/11.28 apply (zenon_L585_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.15/11.28 apply (zenon_L275_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.15/11.28 apply (zenon_L33_); trivial.
% 11.15/11.28 apply (zenon_L586_); trivial.
% 11.15/11.28 (* end of lemma zenon_L592_ *)
% 11.15/11.28 assert (zenon_L593_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.28 do 0 intro. intros zenon_H15e zenon_H75 zenon_H114 zenon_H84 zenon_H9b zenon_H109 zenon_Ha5 zenon_H9e zenon_H2d zenon_H163 zenon_H66 zenon_Hf5 zenon_H6f zenon_H70.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.15/11.28 apply (zenon_L592_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.15/11.28 apply (zenon_L213_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.15/11.28 apply (zenon_L66_); trivial.
% 11.15/11.28 apply (zenon_L22_); trivial.
% 11.15/11.28 (* end of lemma zenon_L593_ *)
% 11.15/11.28 assert (zenon_L594_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.28 do 0 intro. intros zenon_H19e zenon_H14e zenon_H149 zenon_H5d zenon_H15e zenon_H75 zenon_H84 zenon_H9b zenon_H109 zenon_Ha5 zenon_H9e zenon_H2d zenon_H163 zenon_H66 zenon_Hf5 zenon_H6f zenon_H70.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.28 exact (zenon_H14e zenon_H103).
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.28 apply (zenon_L389_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.28 apply (zenon_L147_); trivial.
% 11.15/11.28 apply (zenon_L593_); trivial.
% 11.15/11.28 (* end of lemma zenon_L594_ *)
% 11.15/11.28 assert (zenon_L595_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.15/11.28 do 0 intro. intros zenon_H13b zenon_H11c zenon_Hea zenon_H1f7 zenon_H3d zenon_H70 zenon_H6f zenon_Hf5 zenon_H66 zenon_H2d zenon_H9e zenon_Ha5 zenon_H109 zenon_H9b zenon_H84 zenon_H75 zenon_H15e zenon_H149 zenon_H14e zenon_H19e zenon_H163 zenon_H81.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.15/11.28 apply (zenon_L336_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.15/11.28 apply (zenon_L321_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.15/11.28 apply (zenon_L594_); trivial.
% 11.15/11.28 apply (zenon_L244_); trivial.
% 11.15/11.28 (* end of lemma zenon_L595_ *)
% 11.15/11.28 assert (zenon_L596_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.15/11.28 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_Hbd zenon_H13b zenon_H11c zenon_Hea zenon_H1f7 zenon_H3d zenon_H70 zenon_Hf5 zenon_H66 zenon_H2d zenon_H9e zenon_Ha5 zenon_H109 zenon_H9b zenon_H84 zenon_H75 zenon_H15e zenon_H149 zenon_H14e zenon_H19e zenon_H163 zenon_H81.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.28 exact (zenon_He6 zenon_H1f).
% 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.28 apply (zenon_L272_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.28 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.28 apply (zenon_L595_); trivial.
% 11.15/11.28 (* end of lemma zenon_L596_ *)
% 11.15/11.28 assert (zenon_L597_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.15/11.28 do 0 intro. intros zenon_H200 zenon_H104 zenon_H80 zenon_H56 zenon_H11c zenon_H89 zenon_H1a9 zenon_H31.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.28 apply (zenon_L154_); trivial.
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.28 exact (zenon_H56 zenon_H24).
% 11.15/11.28 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.28 apply (zenon_L336_); trivial.
% 11.15/11.28 apply (zenon_L328_); trivial.
% 11.15/11.28 (* end of lemma zenon_L597_ *)
% 11.15/11.28 assert (zenon_L598_ : ((op (e2) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (op (e2) (op (e2) (e2))))) -> False).
% 11.15/11.28 do 0 intro. intros zenon_Ha2 zenon_H66 zenon_H25f.
% 11.15/11.28 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 11.15/11.28 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((e0) = (op (e2) (op (e2) (e2))))).
% 11.15/11.28 intro zenon_D_pnotp.
% 11.15/11.28 apply zenon_H25f.
% 11.15/11.28 rewrite <- zenon_D_pnotp.
% 11.15/11.28 exact zenon_Had.
% 11.15/11.28 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 11.15/11.28 cut (((op (e2) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H260].
% 11.15/11.28 congruence.
% 11.15/11.28 cut (((op (e2) (e1)) = (e0)) = ((op (e2) (op (e2) (e2))) = (e0))).
% 11.15/11.28 intro zenon_D_pnotp.
% 11.15/11.28 apply zenon_H260.
% 11.15/11.28 rewrite <- zenon_D_pnotp.
% 11.15/11.28 exact zenon_Ha2.
% 11.15/11.28 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.15/11.28 cut (((op (e2) (e1)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 11.15/11.28 congruence.
% 11.15/11.28 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 11.15/11.28 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e1)) = (op (e2) (op (e2) (e2))))).
% 11.15/11.28 intro zenon_D_pnotp.
% 11.15/11.28 apply zenon_Hef.
% 11.15/11.28 rewrite <- zenon_D_pnotp.
% 11.15/11.28 exact zenon_Had.
% 11.15/11.28 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 11.15/11.28 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hee].
% 11.15/11.28 congruence.
% 11.15/11.28 apply (zenon_L61_); trivial.
% 11.15/11.28 apply zenon_Hae. apply refl_equal.
% 11.15/11.28 apply zenon_Hae. apply refl_equal.
% 11.15/11.28 apply zenon_H2b. apply refl_equal.
% 11.15/11.28 apply zenon_Hae. apply refl_equal.
% 11.15/11.28 apply zenon_Hae. apply refl_equal.
% 11.15/11.28 (* end of lemma zenon_L598_ *)
% 11.15/11.28 assert (zenon_L599_ : ((op (e0) (e2)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> False).
% 11.15/11.28 do 0 intro. intros zenon_Hdc zenon_Ha2 zenon_H66.
% 11.15/11.28 apply (zenon_notand_s _ _ ax21); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H261 ].
% 11.15/11.28 apply zenon_Hf2. apply sym_equal. exact zenon_H66.
% 11.15/11.28 apply (zenon_notand_s _ _ zenon_H261); [ zenon_intro zenon_H215 | zenon_intro zenon_H25f ].
% 11.15/11.28 elim (classic ((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ].
% 11.15/11.28 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2))) = ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))).
% 11.15/11.28 intro zenon_D_pnotp.
% 11.15/11.28 apply zenon_H215.
% 11.15/11.28 rewrite <- zenon_D_pnotp.
% 11.15/11.28 exact zenon_Hb4.
% 11.15/11.28 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 11.15/11.28 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H216].
% 11.15/11.28 congruence.
% 11.15/11.28 cut (((op (e0) (e2)) = (e3)) = ((op (op (e2) (op (e2) (e2))) (e2)) = (e3))).
% 11.15/11.28 intro zenon_D_pnotp.
% 11.15/11.28 apply zenon_H216.
% 11.15/11.28 rewrite <- zenon_D_pnotp.
% 11.15/11.28 exact zenon_Hdc.
% 11.15/11.28 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.15/11.28 cut (((op (e0) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H262].
% 11.15/11.28 congruence.
% 11.15/11.28 elim (classic ((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ].
% 11.15/11.28 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2))) = ((op (e0) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))).
% 11.15/11.28 intro zenon_D_pnotp.
% 11.15/11.28 apply zenon_H262.
% 11.15/11.28 rewrite <- zenon_D_pnotp.
% 11.15/11.28 exact zenon_Hb4.
% 11.15/11.28 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 11.15/11.28 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H263].
% 11.15/11.28 congruence.
% 11.15/11.28 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.15/11.28 cut (((op (e2) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H260].
% 11.15/11.28 congruence.
% 11.15/11.28 cut (((op (e2) (e1)) = (e0)) = ((op (e2) (op (e2) (e2))) = (e0))).
% 11.15/11.28 intro zenon_D_pnotp.
% 11.15/11.28 apply zenon_H260.
% 11.15/11.28 rewrite <- zenon_D_pnotp.
% 11.15/11.28 exact zenon_Ha2.
% 11.15/11.28 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.15/11.28 cut (((op (e2) (e1)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 11.15/11.29 congruence.
% 11.15/11.29 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 11.15/11.29 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e1)) = (op (e2) (op (e2) (e2))))).
% 11.15/11.29 intro zenon_D_pnotp.
% 11.15/11.29 apply zenon_Hef.
% 11.15/11.29 rewrite <- zenon_D_pnotp.
% 11.15/11.29 exact zenon_Had.
% 11.15/11.29 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 11.15/11.29 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hee].
% 11.15/11.29 congruence.
% 11.15/11.29 apply (zenon_L61_); trivial.
% 11.15/11.29 apply zenon_Hae. apply refl_equal.
% 11.15/11.29 apply zenon_Hae. apply refl_equal.
% 11.15/11.29 apply zenon_H2b. apply refl_equal.
% 11.15/11.29 apply zenon_H45. apply refl_equal.
% 11.15/11.29 apply zenon_Hb5. apply refl_equal.
% 11.15/11.29 apply zenon_Hb5. apply refl_equal.
% 11.15/11.29 apply zenon_H3a. apply refl_equal.
% 11.15/11.29 apply zenon_Hb5. apply refl_equal.
% 11.15/11.29 apply zenon_Hb5. apply refl_equal.
% 11.15/11.29 apply (zenon_L598_); trivial.
% 11.15/11.29 (* end of lemma zenon_L599_ *)
% 11.15/11.29 assert (zenon_L600_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.15/11.29 do 0 intro. intros zenon_H200 zenon_H104 zenon_H80 zenon_H81 zenon_H19e zenon_H14e zenon_H149 zenon_H15e zenon_H75 zenon_H84 zenon_H9b zenon_H109 zenon_Ha5 zenon_H9e zenon_H2d zenon_H66 zenon_Hf5 zenon_H70 zenon_H3d zenon_H1f7 zenon_H11c zenon_H13b zenon_Hbd zenon_He6 zenon_Hd6 zenon_Hdc zenon_H56 zenon_H12c zenon_H1fc zenon_H1a9 zenon_H31.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.29 apply (zenon_L154_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.29 exact (zenon_H56 zenon_H24).
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.29 apply (zenon_L88_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.29 exact (zenon_H56 zenon_H24).
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.29 apply (zenon_L599_); trivial.
% 11.15/11.29 apply (zenon_L596_); trivial.
% 11.15/11.29 apply (zenon_L328_); trivial.
% 11.15/11.29 (* end of lemma zenon_L600_ *)
% 11.15/11.29 assert (zenon_L601_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e2)) = (e3)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.15/11.29 do 0 intro. intros zenon_Hd9 zenon_H41 zenon_H31 zenon_H1a9 zenon_H1fc zenon_H12c zenon_H56 zenon_Hdc zenon_Hd6 zenon_He6 zenon_Hbd zenon_H13b zenon_H11c zenon_H1f7 zenon_H70 zenon_Hf5 zenon_H66 zenon_H2d zenon_H9e zenon_Ha5 zenon_H109 zenon_H9b zenon_H84 zenon_H75 zenon_H15e zenon_H149 zenon_H14e zenon_H19e zenon_H104 zenon_H200 zenon_H81 zenon_H80 zenon_H14f.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.29 apply (zenon_L58_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.29 apply (zenon_L600_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.29 apply (zenon_L26_); trivial.
% 11.15/11.29 exact (zenon_H14f zenon_Hc4).
% 11.15/11.29 (* end of lemma zenon_L601_ *)
% 11.15/11.29 assert (zenon_L602_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e3) (e0)) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.15/11.29 do 0 intro. intros zenon_H180 zenon_H22 zenon_H81 zenon_Hd9 zenon_H41 zenon_H1a9 zenon_H1fc zenon_H12c zenon_H56 zenon_Hd6 zenon_He6 zenon_Hbd zenon_H13b zenon_H11c zenon_H1f7 zenon_H70 zenon_Hf5 zenon_H66 zenon_H2d zenon_H9e zenon_Ha5 zenon_H84 zenon_H75 zenon_H15e zenon_H149 zenon_H14e zenon_H19e zenon_H104 zenon_H200 zenon_H80 zenon_H14f zenon_H1e zenon_H38 zenon_H14b zenon_H31 zenon_H109.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.29 apply (zenon_L151_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.29 apply (zenon_L253_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.29 apply (zenon_L8_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.29 apply (zenon_L597_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.29 apply (zenon_L601_); trivial.
% 11.15/11.29 apply (zenon_L73_); trivial.
% 11.15/11.29 apply (zenon_L75_); trivial.
% 11.15/11.29 (* end of lemma zenon_L602_ *)
% 11.15/11.29 assert (zenon_L603_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e3) (e0)) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.29 do 0 intro. intros zenon_H1ae zenon_H109 zenon_H14b zenon_H38 zenon_H1e zenon_H14f zenon_H80 zenon_H200 zenon_H104 zenon_H19e zenon_H14e zenon_H149 zenon_H15e zenon_H75 zenon_H84 zenon_Ha5 zenon_H9e zenon_H2d zenon_H66 zenon_Hf5 zenon_H70 zenon_H1f7 zenon_H11c zenon_H13b zenon_Hbd zenon_He6 zenon_Hd6 zenon_H56 zenon_H12c zenon_H1fc zenon_H41 zenon_Hd9 zenon_H81 zenon_H22 zenon_H180 zenon_H6f zenon_H1a9 zenon_H114 zenon_Hb9 zenon_H78 zenon_H165 zenon_H16b zenon_H141 zenon_H169 zenon_H8d zenon_H69.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ].
% 11.15/11.29 apply (zenon_L602_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ].
% 11.15/11.29 apply (zenon_L449_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ].
% 11.15/11.29 apply (zenon_L227_); trivial.
% 11.15/11.29 apply (zenon_L588_); trivial.
% 11.15/11.29 (* end of lemma zenon_L603_ *)
% 11.15/11.29 assert (zenon_L604_ : ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e3) (e0)) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.29 do 0 intro. intros zenon_H9b zenon_H162 zenon_H69 zenon_H8d zenon_H169 zenon_H16b zenon_H165 zenon_H78 zenon_Hb9 zenon_H114 zenon_H1a9 zenon_H180 zenon_H22 zenon_H81 zenon_Hd9 zenon_H41 zenon_H1fc zenon_H12c zenon_H56 zenon_Hd6 zenon_He6 zenon_Hbd zenon_H13b zenon_H11c zenon_H1f7 zenon_H2d zenon_H9e zenon_Ha5 zenon_H84 zenon_H75 zenon_H15e zenon_H149 zenon_H14e zenon_H19e zenon_H104 zenon_H200 zenon_H80 zenon_H14f zenon_H1e zenon_H38 zenon_H14b zenon_H109 zenon_H1ae zenon_H66 zenon_Hf5 zenon_H6f zenon_H70.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.15/11.29 apply (zenon_L587_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.15/11.29 apply (zenon_L603_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.15/11.29 apply (zenon_L66_); trivial.
% 11.15/11.29 apply (zenon_L22_); trivial.
% 11.15/11.29 (* end of lemma zenon_L604_ *)
% 11.15/11.29 assert (zenon_L605_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.15/11.29 do 0 intro. intros zenon_H15a zenon_Hf0 zenon_H158 zenon_H1e zenon_H155 zenon_H95 zenon_H138 zenon_H14f.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ].
% 11.15/11.29 apply (zenon_L121_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ].
% 11.15/11.29 apply (zenon_L120_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ].
% 11.15/11.29 apply (zenon_L93_); trivial.
% 11.15/11.29 exact (zenon_H14f zenon_Hc4).
% 11.15/11.29 (* end of lemma zenon_L605_ *)
% 11.15/11.29 assert (zenon_L606_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.15/11.29 do 0 intro. intros zenon_H15a zenon_Hf0 zenon_H1e zenon_H155 zenon_H9c zenon_H158 zenon_H14f.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ].
% 11.15/11.29 apply (zenon_L121_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ].
% 11.15/11.29 apply (zenon_L120_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ].
% 11.15/11.29 apply (zenon_L252_); trivial.
% 11.15/11.29 exact (zenon_H14f zenon_Hc4).
% 11.15/11.29 (* end of lemma zenon_L606_ *)
% 11.15/11.29 assert (zenon_L607_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.29 do 0 intro. intros zenon_Ha1 zenon_Hdd zenon_H70 zenon_H6f zenon_Hf5 zenon_H66 zenon_H1ae zenon_H109 zenon_H14b zenon_H38 zenon_H80 zenon_H200 zenon_H104 zenon_H19e zenon_H14e zenon_H149 zenon_H15e zenon_H84 zenon_Ha5 zenon_H9e zenon_H2d zenon_H1f7 zenon_H11c zenon_H13b zenon_Hbd zenon_He6 zenon_Hd6 zenon_H56 zenon_H12c zenon_H1fc zenon_H41 zenon_Hd9 zenon_H81 zenon_H22 zenon_H180 zenon_H1a9 zenon_Hb9 zenon_H78 zenon_H165 zenon_H16b zenon_H169 zenon_H69 zenon_H162 zenon_H9b zenon_H138 zenon_H14f zenon_H158 zenon_H155 zenon_H1e zenon_Hf0 zenon_H15a zenon_H75.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.29 exact (zenon_H14e zenon_H103).
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.29 apply (zenon_L584_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.29 apply (zenon_L145_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.15/11.29 apply (zenon_L604_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.15/11.29 apply (zenon_L605_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.15/11.29 apply (zenon_L606_); trivial.
% 11.15/11.29 apply (zenon_L586_); trivial.
% 11.15/11.29 (* end of lemma zenon_L607_ *)
% 11.15/11.29 assert (zenon_L608_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 11.15/11.29 do 0 intro. intros zenon_H19e zenon_H14e zenon_H11c zenon_Ha1 zenon_Ha5 zenon_H66 zenon_Hb9 zenon_H108.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.29 exact (zenon_H14e zenon_H103).
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.29 apply (zenon_L584_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.29 apply (zenon_L147_); trivial.
% 11.15/11.29 apply (zenon_L227_); trivial.
% 11.15/11.29 (* end of lemma zenon_L608_ *)
% 11.15/11.29 assert (zenon_L609_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 11.15/11.29 do 0 intro. intros zenon_H180 zenon_H1e zenon_H22 zenon_H109 zenon_He3 zenon_H19e zenon_H14e zenon_H11c zenon_Ha1 zenon_Ha5 zenon_H66 zenon_Hb9.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.29 apply (zenon_L151_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.29 apply (zenon_L253_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.29 apply (zenon_L206_); trivial.
% 11.15/11.29 apply (zenon_L608_); trivial.
% 11.15/11.29 (* end of lemma zenon_L609_ *)
% 11.15/11.29 assert (zenon_L610_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.15/11.29 do 0 intro. intros zenon_H15a zenon_H163 zenon_H138 zenon_H169 zenon_H6e zenon_H9c zenon_H158 zenon_H14f.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ].
% 11.15/11.29 apply (zenon_L134_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ].
% 11.15/11.29 apply (zenon_L376_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ].
% 11.15/11.29 apply (zenon_L252_); trivial.
% 11.15/11.29 exact (zenon_H14f zenon_Hc4).
% 11.15/11.29 (* end of lemma zenon_L610_ *)
% 11.15/11.29 assert (zenon_L611_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.15/11.29 do 0 intro. intros zenon_H1b9 zenon_H84 zenon_H109 zenon_H156 zenon_H9e zenon_H11c zenon_He9 zenon_Ha5 zenon_H66 zenon_H78 zenon_H165 zenon_H14f zenon_H158 zenon_H169 zenon_H138 zenon_H163 zenon_H15a zenon_H75 zenon_H114 zenon_H69 zenon_H101.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ].
% 11.15/11.29 apply (zenon_L592_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ].
% 11.15/11.29 apply (zenon_L273_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ].
% 11.15/11.29 apply (zenon_L147_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H68 | zenon_intro zenon_H7a ].
% 11.15/11.29 exact (zenon_H165 zenon_H68).
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H6e | zenon_intro zenon_H7b ].
% 11.15/11.29 apply (zenon_L610_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7c | zenon_intro zenon_H73 ].
% 11.15/11.29 apply (zenon_L586_); trivial.
% 11.15/11.29 apply (zenon_L258_); trivial.
% 11.15/11.29 (* end of lemma zenon_L611_ *)
% 11.15/11.29 assert (zenon_L612_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.29 do 0 intro. intros zenon_H19e zenon_H14e zenon_Ha1 zenon_Hdd zenon_H9e zenon_Ha5 zenon_H156 zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_H75.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.29 exact (zenon_H14e zenon_H103).
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.29 apply (zenon_L584_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.29 apply (zenon_L145_); trivial.
% 11.15/11.29 apply (zenon_L587_); trivial.
% 11.15/11.29 (* end of lemma zenon_L612_ *)
% 11.15/11.29 assert (zenon_L613_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 11.15/11.29 do 0 intro. intros zenon_H1da zenon_H88 zenon_He6 zenon_Hec zenon_H180 zenon_H81 zenon_H149 zenon_H1b9 zenon_H109 zenon_He9 zenon_H78 zenon_H165 zenon_H14f zenon_H158 zenon_H169 zenon_H138 zenon_H15a zenon_H69 zenon_H38 zenon_H13b zenon_H12a zenon_H80 zenon_H56 zenon_H2d zenon_H1fc zenon_H14b zenon_H11f zenon_H75 zenon_H84 zenon_H162 zenon_H9e zenon_Hdd zenon_H19e zenon_H14e zenon_H11c zenon_Ha1 zenon_Ha5 zenon_H66 zenon_Hb9.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.29 apply (zenon_L465_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.29 exact (zenon_He6 zenon_H1f).
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.29 apply (zenon_L398_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.29 apply (zenon_L291_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.29 apply (zenon_L296_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.29 apply (zenon_L294_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.29 apply (zenon_L269_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.29 exact (zenon_H56 zenon_H24).
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.29 apply (zenon_L460_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.15/11.29 apply (zenon_L296_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.15/11.29 apply (zenon_L285_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.29 exact (zenon_H14e zenon_H103).
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.29 apply (zenon_L389_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.29 apply (zenon_L147_); trivial.
% 11.15/11.29 apply (zenon_L611_); trivial.
% 11.15/11.29 apply (zenon_L244_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.29 apply (zenon_L81_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.29 apply (zenon_L612_); trivial.
% 11.15/11.29 apply (zenon_L608_); trivial.
% 11.15/11.29 (* end of lemma zenon_L613_ *)
% 11.15/11.29 assert (zenon_L614_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False).
% 11.15/11.29 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_H11c zenon_Ha5 zenon_Hcc zenon_H66 zenon_H1a9 zenon_H186.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.29 exact (zenon_He6 zenon_H1f).
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.29 apply (zenon_L272_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.29 apply (zenon_L207_); trivial.
% 11.15/11.29 apply (zenon_L449_); trivial.
% 11.15/11.29 (* end of lemma zenon_L614_ *)
% 11.15/11.29 assert (zenon_L615_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 11.15/11.29 do 0 intro. intros zenon_H219 zenon_He3 zenon_H22 zenon_Hb9 zenon_Ha1 zenon_H14e zenon_H19e zenon_H9e zenon_H162 zenon_H84 zenon_H75 zenon_H14b zenon_H1fc zenon_H2d zenon_H56 zenon_H80 zenon_H12a zenon_H13b zenon_H38 zenon_H69 zenon_H15a zenon_H138 zenon_H169 zenon_H158 zenon_H14f zenon_H165 zenon_H78 zenon_He9 zenon_H109 zenon_H1b9 zenon_H149 zenon_H81 zenon_H180 zenon_Hec zenon_H88 zenon_H1da zenon_Hdd zenon_Hd6 zenon_He6 zenon_H11c zenon_Ha5 zenon_Hcc zenon_H66 zenon_H1a9.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.29 apply (zenon_L609_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.29 apply (zenon_L613_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.29 apply (zenon_L98_); trivial.
% 11.15/11.29 apply (zenon_L614_); trivial.
% 11.15/11.29 (* end of lemma zenon_L615_ *)
% 11.15/11.29 assert (zenon_L616_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.29 do 0 intro. intros zenon_Hfd zenon_Hcc zenon_H1da zenon_H88 zenon_Hec zenon_H1b9 zenon_He9 zenon_H12a zenon_H219 zenon_H10e zenon_H1a7 zenon_Haa zenon_Ha1 zenon_Hdd zenon_H70 zenon_Hf5 zenon_H66 zenon_H1ae zenon_H109 zenon_H14b zenon_H38 zenon_H80 zenon_H200 zenon_H104 zenon_H19e zenon_H14e zenon_H149 zenon_H15e zenon_H84 zenon_Ha5 zenon_H9e zenon_H2d zenon_H1f7 zenon_H11c zenon_H13b zenon_Hbd zenon_He6 zenon_Hd6 zenon_H56 zenon_H12c zenon_H1fc zenon_H41 zenon_Hd9 zenon_H81 zenon_H22 zenon_H180 zenon_H1a9 zenon_Hb9 zenon_H78 zenon_H165 zenon_H16b zenon_H169 zenon_H69 zenon_H162 zenon_H9b zenon_H138 zenon_H14f zenon_H158 zenon_H155 zenon_H1e zenon_H15a zenon_H75.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.29 exact (zenon_He6 zenon_H1f).
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.29 apply (zenon_L272_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.29 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ].
% 11.15/11.29 apply (zenon_L615_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ].
% 11.15/11.29 apply (zenon_L537_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ].
% 11.15/11.29 exact (zenon_Haa zenon_Ha9).
% 11.15/11.29 apply (zenon_L607_); trivial.
% 11.15/11.29 (* end of lemma zenon_L616_ *)
% 11.15/11.29 assert (zenon_L617_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.29 do 0 intro. intros zenon_H15e zenon_Ha5 zenon_H101 zenon_H69 zenon_H8d zenon_H169 zenon_H16b zenon_H165 zenon_H78 zenon_H66 zenon_Hf5 zenon_H6f zenon_H70.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.15/11.29 apply (zenon_L585_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.15/11.29 apply (zenon_L588_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.15/11.29 apply (zenon_L66_); trivial.
% 11.15/11.29 apply (zenon_L22_); trivial.
% 11.15/11.29 (* end of lemma zenon_L617_ *)
% 11.15/11.29 assert (zenon_L618_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.29 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_H11c zenon_H2d zenon_Hea zenon_H15e zenon_Ha5 zenon_H101 zenon_H69 zenon_H8d zenon_H169 zenon_H16b zenon_H165 zenon_H78 zenon_H66 zenon_Hf5 zenon_H70.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.29 exact (zenon_He6 zenon_H1f).
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.29 apply (zenon_L272_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.29 apply (zenon_L316_); trivial.
% 11.15/11.29 apply (zenon_L617_); trivial.
% 11.15/11.29 (* end of lemma zenon_L618_ *)
% 11.15/11.29 assert (zenon_L619_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.29 do 0 intro. intros zenon_H9e zenon_H70 zenon_Hf5 zenon_H66 zenon_H78 zenon_H165 zenon_H16b zenon_H169 zenon_H69 zenon_H101 zenon_Ha5 zenon_H15e zenon_Hea zenon_H2d zenon_He6 zenon_Hd6 zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_H114 zenon_H75.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.15/11.29 apply (zenon_L618_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.15/11.29 apply (zenon_L322_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.15/11.29 apply (zenon_L33_); trivial.
% 11.15/11.29 apply (zenon_L586_); trivial.
% 11.15/11.29 (* end of lemma zenon_L619_ *)
% 11.15/11.29 assert (zenon_L620_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.29 do 0 intro. intros zenon_H19e zenon_H14e zenon_Ha1 zenon_H9e zenon_H70 zenon_Hf5 zenon_H66 zenon_H78 zenon_H165 zenon_H16b zenon_H169 zenon_H69 zenon_H101 zenon_Ha5 zenon_H15e zenon_Hea zenon_H2d zenon_He6 zenon_Hd6 zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_H75.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.29 exact (zenon_H14e zenon_H103).
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.29 apply (zenon_L584_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.29 apply (zenon_L147_); trivial.
% 11.15/11.29 apply (zenon_L619_); trivial.
% 11.15/11.29 (* end of lemma zenon_L620_ *)
% 11.15/11.29 assert (zenon_L621_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 11.15/11.29 do 0 intro. intros zenon_Hbc zenon_H125 zenon_H23 zenon_H12d zenon_H1f4 zenon_H140 zenon_H166 zenon_Hfd zenon_H219 zenon_H10e zenon_Haa zenon_H70 zenon_Hf5 zenon_H1ae zenon_H200 zenon_H104 zenon_H15e zenon_H1f7 zenon_Hbd zenon_H12c zenon_H41 zenon_Hd9 zenon_H22 zenon_H16b zenon_H155 zenon_Hb9 zenon_Ha1 zenon_H14e zenon_H19e zenon_H9e zenon_H162 zenon_H84 zenon_H75 zenon_H14b zenon_H1fc zenon_H2d zenon_H56 zenon_H80 zenon_H12a zenon_H13b zenon_H38 zenon_H69 zenon_H15a zenon_H138 zenon_H169 zenon_H158 zenon_H14f zenon_H165 zenon_H78 zenon_He9 zenon_H109 zenon_H1b9 zenon_H149 zenon_H81 zenon_H180 zenon_Hec zenon_H88 zenon_H1da zenon_Hdd zenon_Hd6 zenon_He6 zenon_H11c zenon_Ha5 zenon_Hcc zenon_H66 zenon_H1a9.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.29 apply (zenon_L151_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.29 apply (zenon_L253_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.29 apply (zenon_L8_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.29 apply (zenon_L292_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.29 apply (zenon_L58_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.29 apply (zenon_L154_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.29 exact (zenon_H56 zenon_H24).
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.29 exact (zenon_He6 zenon_H1f).
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.29 apply (zenon_L272_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.29 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.29 apply (zenon_L591_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.29 apply (zenon_L596_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.29 apply (zenon_L607_); trivial.
% 11.15/11.29 exact (zenon_H165 zenon_H68).
% 11.15/11.29 apply (zenon_L616_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.29 apply (zenon_L26_); trivial.
% 11.15/11.29 exact (zenon_H14f zenon_Hc4).
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.29 apply (zenon_L154_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.29 exact (zenon_H56 zenon_H24).
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.29 apply (zenon_L620_); trivial.
% 11.15/11.29 apply (zenon_L616_); trivial.
% 11.15/11.29 apply (zenon_L608_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.29 apply (zenon_L613_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.29 apply (zenon_L98_); trivial.
% 11.15/11.29 apply (zenon_L614_); trivial.
% 11.15/11.29 (* end of lemma zenon_L621_ *)
% 11.15/11.29 assert (zenon_L622_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.29 do 0 intro. intros zenon_H9e zenon_H69 zenon_H169 zenon_H141 zenon_H16b zenon_H165 zenon_H78 zenon_Hb9 zenon_H1a9 zenon_H6f zenon_Hba zenon_H1ae zenon_H138 zenon_H14f zenon_H158 zenon_H155 zenon_H1e zenon_Hf0 zenon_H15a zenon_H114 zenon_H75.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.15/11.29 apply (zenon_L589_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.15/11.29 apply (zenon_L605_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.15/11.29 apply (zenon_L606_); trivial.
% 11.15/11.29 apply (zenon_L586_); trivial.
% 11.15/11.29 (* end of lemma zenon_L622_ *)
% 11.15/11.29 assert (zenon_L623_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False).
% 11.15/11.29 do 0 intro. intros zenon_Hbc zenon_H125 zenon_H150 zenon_H23 zenon_H12d zenon_Haa zenon_H1a6 zenon_H1a7.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.15/11.29 apply (zenon_L113_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.15/11.29 apply (zenon_L515_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.15/11.29 exact (zenon_Haa zenon_Ha9).
% 11.15/11.29 apply (zenon_L189_); trivial.
% 11.15/11.29 (* end of lemma zenon_L623_ *)
% 11.15/11.29 assert (zenon_L624_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e0)) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.15/11.29 do 0 intro. intros zenon_H1da zenon_H88 zenon_H11f zenon_He6 zenon_H66 zenon_Hec zenon_H150 zenon_H2d.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.29 apply (zenon_L465_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.29 exact (zenon_He6 zenon_H1f).
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.29 apply (zenon_L398_); trivial.
% 11.15/11.29 apply (zenon_L169_); trivial.
% 11.15/11.29 (* end of lemma zenon_L624_ *)
% 11.15/11.29 assert (zenon_L625_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.15/11.29 do 0 intro. intros zenon_H166 zenon_Hc5 zenon_He5 zenon_H101 zenon_H69 zenon_H114 zenon_H75 zenon_H15a zenon_H138 zenon_H169 zenon_H158 zenon_H14f zenon_H78 zenon_H66 zenon_Ha5 zenon_He9 zenon_H11c zenon_H9e zenon_H156 zenon_H109 zenon_H1b9 zenon_He3 zenon_H84 zenon_H165.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.29 apply (zenon_L127_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.29 apply (zenon_L611_); trivial.
% 11.15/11.29 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.29 apply (zenon_L157_); trivial.
% 11.15/11.29 exact (zenon_H165 zenon_H68).
% 11.15/11.29 (* end of lemma zenon_L625_ *)
% 11.15/11.29 assert (zenon_L626_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H219 zenon_Hb9 zenon_Ha1 zenon_H14e zenon_H19e zenon_H109 zenon_H22 zenon_H14b zenon_H149 zenon_H38 zenon_H81 zenon_H166 zenon_Hc5 zenon_He5 zenon_H69 zenon_H75 zenon_H15a zenon_H138 zenon_H169 zenon_H158 zenon_H14f zenon_H78 zenon_He9 zenon_H9e zenon_H1b9 zenon_H84 zenon_H165 zenon_H180 zenon_Hec zenon_H88 zenon_H1da zenon_H2d zenon_He3 zenon_Hd6 zenon_He6 zenon_H11c zenon_Ha5 zenon_Hcc zenon_H66 zenon_H1a9.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.30 apply (zenon_L609_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.30 apply (zenon_L465_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.30 exact (zenon_He6 zenon_H1f).
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.30 apply (zenon_L398_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.30 apply (zenon_L291_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.30 apply (zenon_L296_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.30 apply (zenon_L183_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.30 exact (zenon_H14e zenon_H103).
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.30 apply (zenon_L584_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.30 apply (zenon_L147_); trivial.
% 11.15/11.30 apply (zenon_L625_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.30 apply (zenon_L253_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.30 apply (zenon_L206_); trivial.
% 11.15/11.30 apply (zenon_L608_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.30 apply (zenon_L467_); trivial.
% 11.15/11.30 apply (zenon_L614_); trivial.
% 11.15/11.30 (* end of lemma zenon_L626_ *)
% 11.15/11.30 assert (zenon_L627_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H31 zenon_He3 zenon_H24d.
% 11.15/11.30 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H33 | zenon_intro zenon_H34 ].
% 11.15/11.30 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e2)) = (op (e0) (e3)))).
% 11.15/11.30 intro zenon_D_pnotp.
% 11.15/11.30 apply zenon_H24d.
% 11.15/11.30 rewrite <- zenon_D_pnotp.
% 11.15/11.30 exact zenon_H33.
% 11.15/11.30 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 11.15/11.30 cut (((op (e0) (e3)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H24e].
% 11.15/11.30 congruence.
% 11.15/11.30 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e0) (e2)))).
% 11.15/11.30 intro zenon_D_pnotp.
% 11.15/11.30 apply zenon_H24e.
% 11.15/11.30 rewrite <- zenon_D_pnotp.
% 11.15/11.30 exact zenon_H31.
% 11.15/11.30 cut (((e0) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H242].
% 11.15/11.30 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 11.15/11.30 congruence.
% 11.15/11.30 apply zenon_H34. apply refl_equal.
% 11.15/11.30 apply zenon_H242. apply sym_equal. exact zenon_He3.
% 11.15/11.30 apply zenon_H34. apply refl_equal.
% 11.15/11.30 apply zenon_H34. apply refl_equal.
% 11.15/11.30 (* end of lemma zenon_L627_ *)
% 11.15/11.30 assert (zenon_L628_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H9e zenon_H89 zenon_H138 zenon_H14f zenon_H158 zenon_H155 zenon_H1e zenon_Hf0 zenon_H15a zenon_H114 zenon_H75.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.15/11.30 apply (zenon_L30_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.15/11.30 apply (zenon_L605_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.15/11.30 apply (zenon_L606_); trivial.
% 11.15/11.30 apply (zenon_L586_); trivial.
% 11.15/11.30 (* end of lemma zenon_L628_ *)
% 11.15/11.30 assert (zenon_L629_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H19e zenon_H14e zenon_H11c zenon_Ha1 zenon_H9b zenon_Hdd zenon_H9e zenon_H89 zenon_H138 zenon_H14f zenon_H158 zenon_H155 zenon_H1e zenon_Hf0 zenon_H15a zenon_H75.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.30 exact (zenon_H14e zenon_H103).
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.30 apply (zenon_L584_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.30 apply (zenon_L145_); trivial.
% 11.15/11.30 apply (zenon_L628_); trivial.
% 11.15/11.30 (* end of lemma zenon_L629_ *)
% 11.15/11.30 assert (zenon_L630_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H1da zenon_H88 zenon_He6 zenon_H66 zenon_Hec zenon_H180 zenon_H81 zenon_H38 zenon_H149 zenon_H14b zenon_H11f zenon_H75 zenon_H84 zenon_H162 zenon_H11c zenon_Ha5 zenon_H9e zenon_Hdd zenon_Ha1 zenon_H14e zenon_H19e zenon_H31 zenon_H109.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.30 apply (zenon_L465_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.30 exact (zenon_He6 zenon_H1f).
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.30 apply (zenon_L398_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.30 apply (zenon_L297_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.30 apply (zenon_L81_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.30 apply (zenon_L612_); trivial.
% 11.15/11.30 apply (zenon_L75_); trivial.
% 11.15/11.30 (* end of lemma zenon_L630_ *)
% 11.15/11.30 assert (zenon_L631_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H14b zenon_H38 zenon_H1e zenon_H1a9 zenon_H11c zenon_Hc5 zenon_H200 zenon_H150 zenon_H138 zenon_H66 zenon_H56 zenon_H12c zenon_H1fc zenon_H31 zenon_H81.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.30 apply (zenon_L8_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.30 apply (zenon_L127_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.30 exact (zenon_H56 zenon_H24).
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.30 apply (zenon_L336_); trivial.
% 11.15/11.30 apply (zenon_L328_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.30 apply (zenon_L88_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.30 exact (zenon_H56 zenon_H24).
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.30 apply (zenon_L599_); trivial.
% 11.15/11.30 apply (zenon_L134_); trivial.
% 11.15/11.30 apply (zenon_L73_); trivial.
% 11.15/11.30 (* end of lemma zenon_L631_ *)
% 11.15/11.30 assert (zenon_L632_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H200 zenon_H104 zenon_H80 zenon_H56 zenon_Hc5 zenon_Hc4 zenon_H1d zenon_H175 zenon_He6 zenon_H1f0 zenon_H20c zenon_H68 zenon_H70.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.30 apply (zenon_L154_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.30 exact (zenon_H56 zenon_H24).
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_He5 | zenon_intro zenon_H20d ].
% 11.15/11.30 apply (zenon_L352_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f | zenon_intro zenon_H20e ].
% 11.15/11.30 exact (zenon_He6 zenon_H1f).
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H57 | zenon_intro zenon_H3d ].
% 11.15/11.30 apply (zenon_L281_); trivial.
% 11.15/11.30 apply (zenon_L43_); trivial.
% 11.15/11.30 apply (zenon_L228_); trivial.
% 11.15/11.30 (* end of lemma zenon_L632_ *)
% 11.15/11.30 assert (zenon_L633_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_Hbc zenon_H70 zenon_H20c zenon_H1f0 zenon_He6 zenon_H175 zenon_H1d zenon_Hc5 zenon_H56 zenon_H104 zenon_H200 zenon_H125 zenon_Hc4 zenon_H14e zenon_H122 zenon_H1e zenon_H12a zenon_H127 zenon_Haa zenon_H68 zenon_H75.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.15/11.30 apply (zenon_L632_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.15/11.30 apply (zenon_L462_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.15/11.30 exact (zenon_Haa zenon_Ha9).
% 11.15/11.30 apply (zenon_L221_); trivial.
% 11.15/11.30 (* end of lemma zenon_L633_ *)
% 11.15/11.30 assert (zenon_L634_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H9e zenon_H149 zenon_Hc4 zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_H114 zenon_H75.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.15/11.30 apply (zenon_L110_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.15/11.30 apply (zenon_L322_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.15/11.30 apply (zenon_L33_); trivial.
% 11.15/11.30 apply (zenon_L586_); trivial.
% 11.15/11.30 (* end of lemma zenon_L634_ *)
% 11.15/11.30 assert (zenon_L635_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H13b zenon_H81 zenon_H23 zenon_Hcb zenon_He9 zenon_H75 zenon_H84 zenon_H9b zenon_H162 zenon_H11c zenon_H149 zenon_H9e zenon_Hdd zenon_H14e zenon_H19e zenon_H138 zenon_Hc4.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.15/11.30 apply (zenon_L292_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.15/11.30 apply (zenon_L303_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.30 exact (zenon_H14e zenon_H103).
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.30 apply (zenon_L389_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.30 apply (zenon_L145_); trivial.
% 11.15/11.30 apply (zenon_L634_); trivial.
% 11.15/11.30 apply (zenon_L426_); trivial.
% 11.15/11.30 (* end of lemma zenon_L635_ *)
% 11.15/11.30 assert (zenon_L636_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_Ha5 zenon_Hbd zenon_Hd3 zenon_Hc5 zenon_Hc4 zenon_H138 zenon_H19e zenon_H14e zenon_Hdd zenon_H9e zenon_H149 zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_H75 zenon_He9 zenon_H23 zenon_H81 zenon_H13b zenon_H38.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.30 exact (zenon_He6 zenon_H1f).
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.30 apply (zenon_L272_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.30 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.15/11.30 apply (zenon_L43_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.15/11.30 apply (zenon_L285_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.15/11.30 apply (zenon_L635_); trivial.
% 11.15/11.30 apply (zenon_L47_); trivial.
% 11.15/11.30 (* end of lemma zenon_L636_ *)
% 11.15/11.30 assert (zenon_L637_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H19e zenon_H14e zenon_H149 zenon_H5d zenon_Ha5 zenon_H66 zenon_Hb9 zenon_H108.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.30 exact (zenon_H14e zenon_H103).
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.30 apply (zenon_L389_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.30 apply (zenon_L147_); trivial.
% 11.15/11.30 apply (zenon_L227_); trivial.
% 11.15/11.30 (* end of lemma zenon_L637_ *)
% 11.15/11.30 assert (zenon_L638_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e0)) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H1da zenon_H88 zenon_H11f zenon_He6 zenon_H66 zenon_Hec zenon_Hc4 zenon_H38.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.30 apply (zenon_L465_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.30 exact (zenon_He6 zenon_H1f).
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.30 apply (zenon_L398_); trivial.
% 11.15/11.30 apply (zenon_L239_); trivial.
% 11.15/11.30 (* end of lemma zenon_L638_ *)
% 11.15/11.30 assert (zenon_L639_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H219 zenon_H16b zenon_H68 zenon_H127 zenon_H12a zenon_H122 zenon_H14e zenon_H125 zenon_H56 zenon_H241 zenon_He3 zenon_H1fc zenon_H38 zenon_Hc4 zenon_Hec zenon_H88 zenon_H1da zenon_Hdd zenon_Hd6 zenon_He6 zenon_H11c zenon_Ha5 zenon_Hcc zenon_H66 zenon_H1a9.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.30 apply (zenon_L464_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.30 apply (zenon_L638_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.30 apply (zenon_L98_); trivial.
% 11.15/11.30 apply (zenon_L614_); trivial.
% 11.15/11.30 (* end of lemma zenon_L639_ *)
% 11.15/11.30 assert (zenon_L640_ : ((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0))) -> ((op (e1) (e1)) = (e2)) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e1)) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H264 zenon_H11c zenon_H109 zenon_H1f.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ].
% 11.15/11.30 exact (zenon_He6 zenon_H1f).
% 11.15/11.30 apply (zenon_L149_); trivial.
% 11.15/11.30 (* end of lemma zenon_L640_ *)
% 11.15/11.30 assert (zenon_L641_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H1d zenon_H2c zenon_He5.
% 11.15/11.30 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e1) (e0)))).
% 11.15/11.30 intro zenon_D_pnotp.
% 11.15/11.30 apply zenon_H1d.
% 11.15/11.30 rewrite <- zenon_D_pnotp.
% 11.15/11.30 exact zenon_H2c.
% 11.15/11.30 cut (((e0) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H161].
% 11.15/11.30 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 11.15/11.30 congruence.
% 11.15/11.30 apply zenon_H21. apply refl_equal.
% 11.15/11.30 apply zenon_H161. apply sym_equal. exact zenon_He5.
% 11.15/11.30 (* end of lemma zenon_L641_ *)
% 11.15/11.30 assert (zenon_L642_ : (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H122 zenon_H2c zenon_H80.
% 11.15/11.30 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e2) (e0)))).
% 11.15/11.30 intro zenon_D_pnotp.
% 11.15/11.30 apply zenon_H122.
% 11.15/11.30 rewrite <- zenon_D_pnotp.
% 11.15/11.30 exact zenon_H2c.
% 11.15/11.30 cut (((e0) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H152].
% 11.15/11.30 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 11.15/11.30 congruence.
% 11.15/11.30 apply zenon_H21. apply refl_equal.
% 11.15/11.30 apply zenon_H152. apply sym_equal. exact zenon_H80.
% 11.15/11.30 (* end of lemma zenon_L642_ *)
% 11.15/11.30 assert (zenon_L643_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False).
% 11.15/11.30 do 0 intro. intros zenon_Hbc zenon_H2c zenon_H122 zenon_H66 zenon_Hdc zenon_Haa zenon_H1a6 zenon_H1a7.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.15/11.30 apply (zenon_L642_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.15/11.30 apply (zenon_L599_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.15/11.30 exact (zenon_Haa zenon_Ha9).
% 11.15/11.30 apply (zenon_L189_); trivial.
% 11.15/11.30 (* end of lemma zenon_L643_ *)
% 11.15/11.30 assert (zenon_L644_ : ((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H264 zenon_H56 zenon_H2d zenon_H2c zenon_Hec zenon_H66 zenon_H38 zenon_Hc4 zenon_H1da.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ].
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.30 apply (zenon_L5_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.30 exact (zenon_He6 zenon_H1f).
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.30 apply (zenon_L398_); trivial.
% 11.15/11.30 apply (zenon_L239_); trivial.
% 11.15/11.30 exact (zenon_H56 zenon_H24).
% 11.15/11.30 (* end of lemma zenon_L644_ *)
% 11.15/11.30 assert (zenon_L645_ : (((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\(((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2)))))))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e1)) = (e2)) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H222 zenon_H66 zenon_Hcc zenon_H11c.
% 11.15/11.30 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H224. zenon_intro zenon_H223.
% 11.15/11.30 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H254. zenon_intro zenon_H253.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_Hc3 ].
% 11.15/11.30 exact (zenon_H118 zenon_H11c).
% 11.15/11.30 apply (zenon_L207_); trivial.
% 11.15/11.30 (* end of lemma zenon_L645_ *)
% 11.15/11.30 assert (zenon_L646_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H1fc zenon_H88 zenon_H2c zenon_He9 zenon_H66 zenon_Hdc zenon_H13b zenon_H11c zenon_Hea zenon_H1cc zenon_H4c zenon_H12a zenon_H81.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.30 apply (zenon_L447_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.30 apply (zenon_L59_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.30 apply (zenon_L599_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.15/11.30 apply (zenon_L336_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.15/11.30 exact (zenon_H1cc zenon_Hca).
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.15/11.30 apply (zenon_L87_); trivial.
% 11.15/11.30 apply (zenon_L244_); trivial.
% 11.15/11.30 (* end of lemma zenon_L646_ *)
% 11.15/11.30 assert (zenon_L647_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H1fc zenon_H2d zenon_H11f zenon_H109 zenon_H66 zenon_Hdc zenon_Hd3 zenon_H38 zenon_H1f zenon_H1cc zenon_H11c zenon_H1a7 zenon_H81.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.30 apply (zenon_L269_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.30 apply (zenon_L149_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.30 apply (zenon_L599_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.15/11.30 apply (zenon_L9_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.15/11.30 exact (zenon_H1cc zenon_Hca).
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.15/11.30 apply (zenon_L288_); trivial.
% 11.15/11.30 apply (zenon_L225_); trivial.
% 11.15/11.30 (* end of lemma zenon_L647_ *)
% 11.15/11.30 assert (zenon_L648_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e1)) = (e2)) -> (~((e0) = (e3))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H200 zenon_H1d zenon_H12a zenon_H4c zenon_H13b zenon_He9 zenon_H2c zenon_H88 zenon_H1fc zenon_H2d zenon_H11f zenon_H109 zenon_H66 zenon_Hdc zenon_Hd3 zenon_H38 zenon_H1f zenon_H1cc zenon_H11c zenon_H81.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.30 apply (zenon_L641_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.30 apply (zenon_L149_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.30 apply (zenon_L646_); trivial.
% 11.15/11.30 apply (zenon_L647_); trivial.
% 11.15/11.30 (* end of lemma zenon_L648_ *)
% 11.15/11.30 assert (zenon_L649_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H9e zenon_H103 zenon_H125 zenon_H109 zenon_H163 zenon_H9b zenon_H84 zenon_Ha5 zenon_H6e.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.15/11.30 apply (zenon_L84_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.15/11.30 apply (zenon_L275_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.15/11.30 apply (zenon_L33_); trivial.
% 11.15/11.30 apply (zenon_L125_); trivial.
% 11.15/11.30 (* end of lemma zenon_L649_ *)
% 11.15/11.30 assert (zenon_L650_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H15e zenon_H38 zenon_Hc4 zenon_H2d zenon_H66 zenon_Hf5 zenon_H9e zenon_H103 zenon_H125 zenon_H109 zenon_H163 zenon_H9b zenon_H84 zenon_Ha5.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.15/11.30 apply (zenon_L239_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.15/11.30 apply (zenon_L213_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.15/11.30 apply (zenon_L66_); trivial.
% 11.15/11.30 apply (zenon_L649_); trivial.
% 11.15/11.30 (* end of lemma zenon_L650_ *)
% 11.15/11.30 assert (zenon_L651_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False).
% 11.15/11.30 do 0 intro. intros zenon_Hbc zenon_H109 zenon_H103 zenon_Hdc zenon_H66 zenon_H2d zenon_H1a6 zenon_H1a7.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.15/11.30 apply (zenon_L109_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.15/11.30 apply (zenon_L599_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.15/11.30 apply (zenon_L37_); trivial.
% 11.15/11.30 apply (zenon_L189_); trivial.
% 11.15/11.30 (* end of lemma zenon_L651_ *)
% 11.15/11.30 assert (zenon_L652_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_Hd9 zenon_H3c zenon_H81 zenon_H1cc zenon_Hd3 zenon_H88 zenon_H2c zenon_H13b zenon_H12a zenon_H1d zenon_H200 zenon_H1f zenon_H11c zenon_Ha5 zenon_H84 zenon_H9b zenon_H125 zenon_H9e zenon_Hf5 zenon_H38 zenon_H15e zenon_He9 zenon_H11f zenon_H1fc zenon_Hbc zenon_H109 zenon_H103 zenon_Hdc zenon_H66 zenon_H2d zenon_H1a6.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.30 exact (zenon_H3c zenon_H37).
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.30 apply (zenon_L9_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.30 apply (zenon_L648_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.30 apply (zenon_L56_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.30 apply (zenon_L149_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.30 apply (zenon_L269_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.30 apply (zenon_L59_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.30 apply (zenon_L599_); trivial.
% 11.15/11.30 apply (zenon_L650_); trivial.
% 11.15/11.30 apply (zenon_L651_); trivial.
% 11.15/11.30 (* end of lemma zenon_L652_ *)
% 11.15/11.30 assert (zenon_L653_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((e1) = (e2))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H15e zenon_H169 zenon_Hf7 zenon_H199 zenon_H38 zenon_H198 zenon_H11f zenon_H132 zenon_H66 zenon_Hf5 zenon_H119 zenon_H149 zenon_H101 zenon_H11c zenon_H121 zenon_H19f zenon_Ha5.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.15/11.30 apply (zenon_L394_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.15/11.30 apply (zenon_L482_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.15/11.30 apply (zenon_L66_); trivial.
% 11.15/11.30 apply (zenon_L400_); trivial.
% 11.15/11.30 (* end of lemma zenon_L653_ *)
% 11.15/11.30 assert (zenon_L654_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_Hd9 zenon_H3c zenon_H81 zenon_H11c zenon_H1cc zenon_H1f zenon_H38 zenon_Hd3 zenon_Hdc zenon_H66 zenon_H109 zenon_H11f zenon_H2d zenon_H1fc zenon_H88 zenon_H2c zenon_He9 zenon_H13b zenon_H12a zenon_H1d zenon_H200 zenon_H8d zenon_H149.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.30 exact (zenon_H3c zenon_H37).
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.30 apply (zenon_L9_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.30 apply (zenon_L648_); trivial.
% 11.15/11.30 apply (zenon_L110_); trivial.
% 11.15/11.30 (* end of lemma zenon_L654_ *)
% 11.15/11.30 assert (zenon_L655_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e3)) = (e1))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_Hd6 zenon_H156 zenon_Hc5 zenon_H22 zenon_H11f zenon_H2d zenon_Hea zenon_H199.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.30 apply (zenon_L310_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.30 apply (zenon_L380_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.30 apply (zenon_L316_); trivial.
% 11.15/11.30 exact (zenon_H199 zenon_H6f).
% 11.15/11.30 (* end of lemma zenon_L655_ *)
% 11.15/11.30 assert (zenon_L656_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H1fc zenon_He9 zenon_Hdc zenon_H15e zenon_H199 zenon_Hea zenon_H2d zenon_H22 zenon_Hc5 zenon_Hd6 zenon_H11f zenon_H132 zenon_H66 zenon_Hf5 zenon_H108.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.30 apply (zenon_L269_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.30 apply (zenon_L59_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.30 apply (zenon_L599_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.15/11.30 apply (zenon_L655_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.15/11.30 apply (zenon_L482_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.15/11.30 apply (zenon_L66_); trivial.
% 11.15/11.30 apply (zenon_L215_); trivial.
% 11.15/11.30 (* end of lemma zenon_L656_ *)
% 11.15/11.30 assert (zenon_L657_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H14b zenon_H3c zenon_H38 zenon_H1a6 zenon_H2d zenon_H66 zenon_H103 zenon_H109 zenon_Hbc zenon_H1fc zenon_He9 zenon_H15e zenon_H199 zenon_H22 zenon_Hc5 zenon_Hd6 zenon_H11f zenon_H132 zenon_Hf5 zenon_H11c zenon_H1f zenon_H200 zenon_H108 zenon_H149.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.30 exact (zenon_H3c zenon_H37).
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.30 apply (zenon_L296_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.30 apply (zenon_L56_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.30 apply (zenon_L149_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.30 apply (zenon_L656_); trivial.
% 11.15/11.30 apply (zenon_L651_); trivial.
% 11.15/11.30 apply (zenon_L184_); trivial.
% 11.15/11.30 (* end of lemma zenon_L657_ *)
% 11.15/11.30 assert (zenon_L658_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e3)) = (e1))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_Hd6 zenon_H156 zenon_Hc5 zenon_H11c zenon_Ha5 zenon_Hcc zenon_H66 zenon_H199.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.30 apply (zenon_L310_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.30 apply (zenon_L272_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.30 apply (zenon_L207_); trivial.
% 11.15/11.30 exact (zenon_H199 zenon_H6f).
% 11.15/11.30 (* end of lemma zenon_L658_ *)
% 11.15/11.30 assert (zenon_L659_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H1b9 zenon_H41 zenon_H175 zenon_He9 zenon_H66 zenon_H119 zenon_Ha5 zenon_H186 zenon_H11c zenon_H121 zenon_H19f zenon_H1ca.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ].
% 11.15/11.30 apply (zenon_L318_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ].
% 11.15/11.30 apply (zenon_L273_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ].
% 11.15/11.30 apply (zenon_L147_); trivial.
% 11.15/11.30 apply (zenon_L429_); trivial.
% 11.15/11.30 (* end of lemma zenon_L659_ *)
% 11.15/11.30 assert (zenon_L660_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e0) (e3)) = (e1)) -> False).
% 11.15/11.30 do 0 intro. intros zenon_Hfd zenon_H41 zenon_H2c zenon_H10e zenon_H1a7 zenon_H66 zenon_H2d zenon_H119 zenon_Ha5 zenon_H11c zenon_H121 zenon_H19f zenon_H186.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ].
% 11.15/11.30 apply (zenon_L153_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ].
% 11.15/11.30 apply (zenon_L537_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ].
% 11.15/11.30 apply (zenon_L37_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ].
% 11.15/11.30 apply (zenon_L406_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ].
% 11.15/11.30 apply (zenon_L277_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ].
% 11.15/11.30 exact (zenon_H19f zenon_H114).
% 11.15/11.30 apply (zenon_L417_); trivial.
% 11.15/11.30 (* end of lemma zenon_L660_ *)
% 11.15/11.30 assert (zenon_L661_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e3)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e0) (e3)) = (e1)) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H200 zenon_H1d zenon_H109 zenon_H89 zenon_Hfd zenon_H41 zenon_H2c zenon_H10e zenon_H66 zenon_H2d zenon_H119 zenon_Ha5 zenon_H11c zenon_H121 zenon_H19f zenon_H186.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.30 apply (zenon_L641_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.30 apply (zenon_L149_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.30 apply (zenon_L336_); trivial.
% 11.15/11.30 apply (zenon_L660_); trivial.
% 11.15/11.30 (* end of lemma zenon_L661_ *)
% 11.15/11.30 assert (zenon_L662_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e0) (e3)) = (e1)) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H200 zenon_H1f zenon_H109 zenon_H81 zenon_H12a zenon_H4c zenon_H1cc zenon_H13b zenon_Hdc zenon_He9 zenon_H88 zenon_H1fc zenon_Hfd zenon_H41 zenon_H2c zenon_H10e zenon_H66 zenon_H2d zenon_H119 zenon_Ha5 zenon_H11c zenon_H121 zenon_H19f zenon_H186.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.30 apply (zenon_L56_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.30 apply (zenon_L149_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.30 apply (zenon_L646_); trivial.
% 11.15/11.30 apply (zenon_L660_); trivial.
% 11.15/11.30 (* end of lemma zenon_L662_ *)
% 11.15/11.30 assert (zenon_L663_ : (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e0)) = (e0)) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H155 zenon_H2c zenon_H150.
% 11.15/11.30 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e3) (e0)))).
% 11.15/11.30 intro zenon_D_pnotp.
% 11.15/11.30 apply zenon_H155.
% 11.15/11.30 rewrite <- zenon_D_pnotp.
% 11.15/11.30 exact zenon_H2c.
% 11.15/11.30 cut (((e0) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H22f].
% 11.15/11.30 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 11.15/11.30 congruence.
% 11.15/11.30 apply zenon_H21. apply refl_equal.
% 11.15/11.30 apply zenon_H22f. apply sym_equal. exact zenon_H150.
% 11.15/11.30 (* end of lemma zenon_L663_ *)
% 11.15/11.30 assert (zenon_L664_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H9e zenon_H149 zenon_Hc4 zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_H186 zenon_Hf0.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.15/11.30 apply (zenon_L110_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.15/11.30 apply (zenon_L322_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.15/11.30 apply (zenon_L33_); trivial.
% 11.15/11.30 apply (zenon_L417_); trivial.
% 11.15/11.30 (* end of lemma zenon_L664_ *)
% 11.15/11.30 assert (zenon_L665_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H166 zenon_H2c zenon_H155 zenon_Ha5 zenon_H109 zenon_H125 zenon_H103 zenon_Hf5 zenon_H66 zenon_H2d zenon_H38 zenon_H15e zenon_H186 zenon_H84 zenon_H9b zenon_H162 zenon_H11c zenon_Hc4 zenon_H149 zenon_H9e zenon_H1a7 zenon_H70.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.30 apply (zenon_L663_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.30 apply (zenon_L650_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.30 apply (zenon_L664_); trivial.
% 11.15/11.30 apply (zenon_L228_); trivial.
% 11.15/11.30 (* end of lemma zenon_L665_ *)
% 11.15/11.30 assert (zenon_L666_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e3)) = (e1))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_Hd6 zenon_H2d zenon_He5 zenon_H11c zenon_Ha5 zenon_Hcc zenon_H66 zenon_H199.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.30 apply (zenon_L56_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.30 apply (zenon_L272_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.30 apply (zenon_L207_); trivial.
% 11.15/11.30 exact (zenon_H199 zenon_H6f).
% 11.15/11.30 (* end of lemma zenon_L666_ *)
% 11.15/11.30 assert (zenon_L667_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e3)) = (e1))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_Hd6 zenon_H1e zenon_H1d zenon_H11c zenon_Ha5 zenon_Hcc zenon_H66 zenon_H199.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.30 apply (zenon_L1_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.30 apply (zenon_L272_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.30 apply (zenon_L207_); trivial.
% 11.15/11.30 exact (zenon_H199 zenon_H6f).
% 11.15/11.30 (* end of lemma zenon_L667_ *)
% 11.15/11.30 assert (zenon_L668_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_Hd9 zenon_H3c zenon_H38 zenon_H1f zenon_H81 zenon_H80 zenon_H8d zenon_H149.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.30 exact (zenon_H3c zenon_H37).
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.30 apply (zenon_L9_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.30 apply (zenon_L26_); trivial.
% 11.15/11.30 apply (zenon_L110_); trivial.
% 11.15/11.30 (* end of lemma zenon_L668_ *)
% 11.15/11.30 assert (zenon_L669_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e0)) = (e3))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H265 zenon_H150 zenon_H155 zenon_H16b zenon_H141 zenon_Hf7 zenon_H66 zenon_H199 zenon_H32 zenon_H198 zenon_H41 zenon_H9b zenon_H3c.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H2c | zenon_intro zenon_H266 ].
% 11.15/11.30 apply (zenon_L663_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H1e | zenon_intro zenon_H267 ].
% 11.15/11.30 apply (zenon_L178_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H175 | zenon_intro zenon_H37 ].
% 11.15/11.30 apply (zenon_L318_); trivial.
% 11.15/11.30 exact (zenon_H3c zenon_H37).
% 11.15/11.30 (* end of lemma zenon_L669_ *)
% 11.15/11.30 assert (zenon_L670_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((e1) = (e2))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H14b zenon_H3c zenon_H81 zenon_He3 zenon_H15e zenon_H169 zenon_Hf7 zenon_H199 zenon_H38 zenon_H198 zenon_H11f zenon_H132 zenon_H66 zenon_Hf5 zenon_H119 zenon_H149 zenon_H11c zenon_H121 zenon_H19f zenon_Ha5.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.30 exact (zenon_H3c zenon_H37).
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.30 apply (zenon_L296_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.30 apply (zenon_L183_); trivial.
% 11.15/11.30 apply (zenon_L653_); trivial.
% 11.15/11.30 (* end of lemma zenon_L670_ *)
% 11.15/11.30 assert (zenon_L671_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H180 zenon_H1ca zenon_H19f zenon_H121 zenon_H119 zenon_H66 zenon_He9 zenon_H41 zenon_H1b9 zenon_H11c zenon_H22 zenon_H109 zenon_He3 zenon_H186 zenon_Ha5.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.30 apply (zenon_L659_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.30 apply (zenon_L253_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.30 apply (zenon_L206_); trivial.
% 11.15/11.30 apply (zenon_L406_); trivial.
% 11.15/11.30 (* end of lemma zenon_L671_ *)
% 11.15/11.30 assert (zenon_L672_ : ((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3))) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H238 zenon_H66 zenon_H38 zenon_H114.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ].
% 11.15/11.30 exact (zenon_H19f zenon_H114).
% 11.15/11.30 apply (zenon_L20_); trivial.
% 11.15/11.30 (* end of lemma zenon_L672_ *)
% 11.15/11.30 assert (zenon_L673_ : ((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3))) -> ((op (e1) (e1)) = (e2)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H1d7 zenon_H11c zenon_H149 zenon_H6f.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ].
% 11.15/11.30 exact (zenon_H199 zenon_H6f).
% 11.15/11.30 apply (zenon_L285_); trivial.
% 11.15/11.30 (* end of lemma zenon_L673_ *)
% 11.15/11.30 assert (zenon_L674_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H200 zenon_H1f zenon_Ha5 zenon_H19f zenon_H121 zenon_H11c zenon_H109 zenon_H119 zenon_Hf5 zenon_H66 zenon_H132 zenon_H11f zenon_Hd6 zenon_Hc5 zenon_H22 zenon_H2d zenon_H199 zenon_H15e zenon_H1a9 zenon_H31.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.30 apply (zenon_L56_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.30 apply (zenon_L149_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.15/11.30 apply (zenon_L655_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.15/11.30 apply (zenon_L482_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.15/11.30 apply (zenon_L66_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ].
% 11.15/11.30 apply (zenon_L75_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ].
% 11.15/11.30 apply (zenon_L277_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ].
% 11.15/11.30 exact (zenon_H19f zenon_H114).
% 11.15/11.30 apply (zenon_L125_); trivial.
% 11.15/11.30 apply (zenon_L328_); trivial.
% 11.15/11.30 (* end of lemma zenon_L674_ *)
% 11.15/11.30 assert (zenon_L675_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H162 zenon_Hca zenon_H133.
% 11.15/11.30 cut (((op (e1) (e1)) = (e3)) = ((op (e1) (e1)) = (op (e3) (e1)))).
% 11.15/11.30 intro zenon_D_pnotp.
% 11.15/11.30 apply zenon_H162.
% 11.15/11.30 rewrite <- zenon_D_pnotp.
% 11.15/11.30 exact zenon_Hca.
% 11.15/11.30 cut (((e3) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 11.15/11.30 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 11.15/11.30 congruence.
% 11.15/11.30 apply zenon_Ha4. apply refl_equal.
% 11.15/11.30 apply zenon_H134. apply sym_equal. exact zenon_H133.
% 11.15/11.30 (* end of lemma zenon_L675_ *)
% 11.15/11.30 assert (zenon_L676_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H1c4 zenon_H14f zenon_Hca zenon_H162 zenon_Hdc zenon_H84 zenon_H6e zenon_H38.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1c6 ].
% 11.15/11.30 exact (zenon_H14f zenon_Hc4).
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H133 | zenon_intro zenon_H1c7 ].
% 11.15/11.30 apply (zenon_L675_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H153 | zenon_intro zenon_H73 ].
% 11.15/11.30 apply (zenon_L131_); trivial.
% 11.15/11.30 apply (zenon_L262_); trivial.
% 11.15/11.30 (* end of lemma zenon_L676_ *)
% 11.15/11.30 assert (zenon_L677_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_Hca zenon_H38 zenon_H42 zenon_H1dd zenon_H6e zenon_H70.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.30 exact (zenon_He6 zenon_H1f).
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.30 apply (zenon_L514_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.30 apply (zenon_L280_); trivial.
% 11.15/11.30 apply (zenon_L22_); trivial.
% 11.15/11.30 (* end of lemma zenon_L677_ *)
% 11.15/11.30 assert (zenon_L678_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_Hd9 zenon_H38 zenon_H1f7 zenon_Hca zenon_H1e zenon_H46 zenon_H14f.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.30 apply (zenon_L8_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.30 apply (zenon_L321_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.30 apply (zenon_L16_); trivial.
% 11.15/11.30 exact (zenon_H14f zenon_Hc4).
% 11.15/11.30 (* end of lemma zenon_L678_ *)
% 11.15/11.30 assert (zenon_L679_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False).
% 11.15/11.30 do 0 intro. intros zenon_H180 zenon_Ha5 zenon_H14f zenon_H1f7 zenon_Hd9 zenon_H109 zenon_H14b zenon_H38 zenon_H1e zenon_H22 zenon_Hca zenon_H81 zenon_He3 zenon_H149.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.30 apply (zenon_L151_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.30 apply (zenon_L678_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.30 apply (zenon_L206_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.30 apply (zenon_L8_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.30 apply (zenon_L57_); trivial.
% 11.15/11.30 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.30 apply (zenon_L183_); trivial.
% 11.15/11.30 apply (zenon_L184_); trivial.
% 11.15/11.30 (* end of lemma zenon_L679_ *)
% 11.15/11.30 assert (zenon_L680_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H244 zenon_H81 zenon_H31 zenon_Hca zenon_H121 zenon_H65 zenon_Hf7 zenon_H6e zenon_H38.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H101 | zenon_intro zenon_H245 ].
% 11.15/11.31 apply (zenon_L73_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H246 ].
% 11.15/11.31 apply (zenon_L338_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ].
% 11.15/11.31 apply (zenon_L67_); trivial.
% 11.15/11.31 apply (zenon_L262_); trivial.
% 11.15/11.31 (* end of lemma zenon_L680_ *)
% 11.15/11.31 assert (zenon_L681_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.15/11.31 do 0 intro. intros zenon_Hbc zenon_H104 zenon_He5 zenon_H38 zenon_H6e zenon_Hf7 zenon_H121 zenon_Hca zenon_H81 zenon_H244 zenon_Hdd zenon_H9b zenon_Hdc zenon_Hf8 zenon_Haa zenon_Hb9 zenon_H31.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.15/11.31 apply (zenon_L154_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ].
% 11.15/11.31 exact (zenon_Haa zenon_Ha9).
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ].
% 11.15/11.31 apply (zenon_L599_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ].
% 11.15/11.31 apply (zenon_L145_); trivial.
% 11.15/11.31 apply (zenon_L680_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.15/11.31 exact (zenon_Haa zenon_Ha9).
% 11.15/11.31 apply (zenon_L41_); trivial.
% 11.15/11.31 (* end of lemma zenon_L681_ *)
% 11.15/11.31 assert (zenon_L682_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H14b zenon_H1e zenon_H22 zenon_Hb9 zenon_Haa zenon_Hf8 zenon_H9b zenon_Hdd zenon_H244 zenon_Hca zenon_H121 zenon_Hf7 zenon_H6e zenon_H38 zenon_He5 zenon_H104 zenon_Hbc zenon_H31 zenon_H81.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.31 apply (zenon_L8_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.31 apply (zenon_L57_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.31 apply (zenon_L681_); trivial.
% 11.15/11.31 apply (zenon_L73_); trivial.
% 11.15/11.31 (* end of lemma zenon_L682_ *)
% 11.15/11.31 assert (zenon_L683_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H15a zenon_Hf0 zenon_H158 zenon_H169 zenon_H6e zenon_H95 zenon_H138 zenon_H14f.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ].
% 11.15/11.31 apply (zenon_L121_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ].
% 11.15/11.31 apply (zenon_L376_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ].
% 11.15/11.31 apply (zenon_L93_); trivial.
% 11.15/11.31 exact (zenon_H14f zenon_Hc4).
% 11.15/11.31 (* end of lemma zenon_L683_ *)
% 11.15/11.31 assert (zenon_L684_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e2) (e1)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 11.15/11.31 do 0 intro. intros zenon_Hf8 zenon_Haa zenon_Ha2 zenon_Hdc zenon_H9c zenon_Hf5 zenon_Hf7 zenon_H74.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ].
% 11.15/11.31 exact (zenon_Haa zenon_Ha9).
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ].
% 11.15/11.31 apply (zenon_L599_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ].
% 11.15/11.31 apply (zenon_L163_); trivial.
% 11.15/11.31 apply (zenon_L67_); trivial.
% 11.15/11.31 (* end of lemma zenon_L684_ *)
% 11.15/11.31 assert (zenon_L685_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H7d zenon_H38 zenon_H123 zenon_Hca zenon_Ha1 zenon_Hdd zenon_H9e zenon_H175 zenon_H155 zenon_H14f zenon_H138 zenon_H169 zenon_H158 zenon_Hf0 zenon_H15a zenon_Hf7 zenon_Hf5 zenon_Hdc zenon_Ha2 zenon_Haa zenon_Hf8 zenon_Ha5 zenon_H6e.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ].
% 11.15/11.31 apply (zenon_L350_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ].
% 11.15/11.31 apply (zenon_L323_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ].
% 11.15/11.31 apply (zenon_L51_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.15/11.31 apply (zenon_L414_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.15/11.31 apply (zenon_L683_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.15/11.31 apply (zenon_L684_); trivial.
% 11.15/11.31 apply (zenon_L125_); trivial.
% 11.15/11.31 (* end of lemma zenon_L685_ *)
% 11.15/11.31 assert (zenon_L686_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False).
% 11.15/11.31 do 0 intro. intros zenon_He1 zenon_H84 zenon_Hc3 zenon_H1dd zenon_H41 zenon_H7d zenon_H38 zenon_H123 zenon_Hca zenon_Ha1 zenon_Hdd zenon_H9e zenon_H175 zenon_H155 zenon_H14f zenon_H138 zenon_H169 zenon_H158 zenon_Hf0 zenon_H15a zenon_Hf7 zenon_Hf5 zenon_Ha2 zenon_Haa zenon_Hf8 zenon_Ha5 zenon_H6e.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ].
% 11.15/11.31 apply (zenon_L157_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ].
% 11.15/11.31 apply (zenon_L280_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ].
% 11.15/11.31 apply (zenon_L318_); trivial.
% 11.15/11.31 apply (zenon_L685_); trivial.
% 11.15/11.31 (* end of lemma zenon_L686_ *)
% 11.15/11.31 assert (zenon_L687_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H9e zenon_H175 zenon_H155 zenon_H109 zenon_H14f zenon_H158 zenon_H169 zenon_H138 zenon_H163 zenon_H15a zenon_Ha5 zenon_H6e.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.15/11.31 apply (zenon_L414_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.15/11.31 apply (zenon_L275_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.15/11.31 apply (zenon_L610_); trivial.
% 11.15/11.31 apply (zenon_L125_); trivial.
% 11.15/11.31 (* end of lemma zenon_L687_ *)
% 11.15/11.31 assert (zenon_L688_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H1da zenon_H88 zenon_H109 zenon_H31 zenon_H7d zenon_Ha1 zenon_H38 zenon_H121 zenon_Hca zenon_H81 zenon_H244 zenon_Hf8 zenon_Haa zenon_Hec zenon_Hdd zenon_Hf7 zenon_H11f zenon_Ha5 zenon_H1fc zenon_H12c zenon_H56 zenon_H70 zenon_Hfd zenon_H24d zenon_H2d zenon_He1 zenon_H84 zenon_H1dd zenon_H41 zenon_Hf5 zenon_H22 zenon_He6 zenon_Hd6 zenon_H9e zenon_H155 zenon_H14f zenon_H158 zenon_H138 zenon_H15a zenon_H180 zenon_H6e zenon_H169.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.31 apply (zenon_L465_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.31 exact (zenon_He6 zenon_H1f).
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.31 apply (zenon_L88_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.31 exact (zenon_H56 zenon_H24).
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.31 exact (zenon_He6 zenon_H1f).
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.31 apply (zenon_L380_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ].
% 11.15/11.31 apply (zenon_L627_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ].
% 11.15/11.31 apply (zenon_L316_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ].
% 11.15/11.31 exact (zenon_Haa zenon_Ha9).
% 11.15/11.31 apply (zenon_L686_); trivial.
% 11.15/11.31 apply (zenon_L22_); trivial.
% 11.15/11.31 apply (zenon_L687_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.31 apply (zenon_L81_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ].
% 11.15/11.31 apply (zenon_L350_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ].
% 11.15/11.31 apply (zenon_L323_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ].
% 11.15/11.31 apply (zenon_L680_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ].
% 11.15/11.31 exact (zenon_Haa zenon_Ha9).
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ].
% 11.15/11.31 apply (zenon_L398_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ].
% 11.15/11.31 apply (zenon_L145_); trivial.
% 11.15/11.31 apply (zenon_L67_); trivial.
% 11.15/11.31 apply (zenon_L75_); trivial.
% 11.15/11.31 apply (zenon_L376_); trivial.
% 11.15/11.31 (* end of lemma zenon_L688_ *)
% 11.15/11.31 assert (zenon_L689_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e0)) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.31 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_Hca zenon_H38 zenon_H2d zenon_Hea zenon_H6e zenon_H70.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.31 exact (zenon_He6 zenon_H1f).
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.31 apply (zenon_L514_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.31 apply (zenon_L316_); trivial.
% 11.15/11.31 apply (zenon_L22_); trivial.
% 11.15/11.31 (* end of lemma zenon_L689_ *)
% 11.15/11.31 assert (zenon_L690_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H200 zenon_H104 zenon_H80 zenon_H56 zenon_H70 zenon_H6e zenon_H2d zenon_H38 zenon_Hca zenon_He6 zenon_Hd6 zenon_H1a9 zenon_H31.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.31 apply (zenon_L154_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.31 exact (zenon_H56 zenon_H24).
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.31 apply (zenon_L689_); trivial.
% 11.15/11.31 apply (zenon_L328_); trivial.
% 11.15/11.31 (* end of lemma zenon_L690_ *)
% 11.15/11.31 assert (zenon_L691_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H200 zenon_Hc5 zenon_H150 zenon_H56 zenon_H70 zenon_H6e zenon_H2d zenon_H38 zenon_Hca zenon_He6 zenon_Hd6 zenon_H1a9 zenon_H31.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.31 apply (zenon_L127_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.31 exact (zenon_H56 zenon_H24).
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.31 apply (zenon_L689_); trivial.
% 11.15/11.31 apply (zenon_L328_); trivial.
% 11.15/11.31 (* end of lemma zenon_L691_ *)
% 11.15/11.31 assert (zenon_L692_ : ((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e3)) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H268 zenon_H6e zenon_H2d zenon_Hc4.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ].
% 11.15/11.31 exact (zenon_H14f zenon_Hc4).
% 11.15/11.31 apply (zenon_L165_); trivial.
% 11.15/11.31 (* end of lemma zenon_L692_ *)
% 11.15/11.31 assert (zenon_L693_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H9e zenon_H103 zenon_H125 zenon_H109 zenon_H14f zenon_H158 zenon_H169 zenon_H138 zenon_H163 zenon_H15a zenon_Ha5 zenon_H6e.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.15/11.31 apply (zenon_L84_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.15/11.31 apply (zenon_L275_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.15/11.31 apply (zenon_L610_); trivial.
% 11.15/11.31 apply (zenon_L125_); trivial.
% 11.15/11.31 (* end of lemma zenon_L693_ *)
% 11.15/11.31 assert (zenon_L694_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H166 zenon_Hc5 zenon_He5 zenon_H169 zenon_H109 zenon_H6e zenon_Ha5 zenon_H15a zenon_H1e zenon_H155 zenon_H158 zenon_H14f zenon_H138 zenon_H125 zenon_H103 zenon_H9e zenon_H165.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.31 apply (zenon_L127_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.31 apply (zenon_L693_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.15/11.31 apply (zenon_L84_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.15/11.31 apply (zenon_L605_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.15/11.31 apply (zenon_L606_); trivial.
% 11.15/11.31 apply (zenon_L125_); trivial.
% 11.15/11.31 exact (zenon_H165 zenon_H68).
% 11.15/11.31 (* end of lemma zenon_L694_ *)
% 11.15/11.31 assert (zenon_L695_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H20c zenon_H1a7 zenon_H22e zenon_He6 zenon_H104 zenon_H103 zenon_Hca zenon_H1f7.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_He5 | zenon_intro zenon_H20d ].
% 11.15/11.31 apply (zenon_L392_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f | zenon_intro zenon_H20e ].
% 11.15/11.31 exact (zenon_He6 zenon_H1f).
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H57 | zenon_intro zenon_H3d ].
% 11.15/11.31 apply (zenon_L74_); trivial.
% 11.15/11.31 apply (zenon_L321_); trivial.
% 11.15/11.31 (* end of lemma zenon_L695_ *)
% 11.15/11.31 assert (zenon_L696_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H269 zenon_H66 zenon_Hdc zenon_H11f zenon_H12d zenon_H103 zenon_H12a zenon_Ha1 zenon_Hca.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H26a ].
% 11.15/11.31 apply (zenon_L599_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H12e | zenon_intro zenon_H26b ].
% 11.15/11.31 apply (zenon_L89_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H130 | zenon_intro zenon_H5d ].
% 11.15/11.31 apply (zenon_L274_); trivial.
% 11.15/11.31 apply (zenon_L323_); trivial.
% 11.15/11.31 (* end of lemma zenon_L696_ *)
% 11.15/11.31 assert (zenon_L697_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> False).
% 11.15/11.31 do 0 intro. intros zenon_He1 zenon_H24d zenon_H31 zenon_Hdd zenon_H9c zenon_H84 zenon_H269 zenon_H66 zenon_H11f zenon_H12d zenon_H103 zenon_H12a zenon_Ha1 zenon_Hca.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ].
% 11.15/11.31 apply (zenon_L627_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ].
% 11.15/11.31 apply (zenon_L98_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ].
% 11.15/11.31 apply (zenon_L33_); trivial.
% 11.15/11.31 apply (zenon_L696_); trivial.
% 11.15/11.31 (* end of lemma zenon_L697_ *)
% 11.15/11.31 assert (zenon_L698_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H9e zenon_H125 zenon_H109 zenon_H163 zenon_Hca zenon_Ha1 zenon_H12a zenon_H103 zenon_H12d zenon_H11f zenon_H66 zenon_H269 zenon_H84 zenon_Hdd zenon_H31 zenon_H24d zenon_He1 zenon_Ha5 zenon_H6e.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.15/11.31 apply (zenon_L84_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.15/11.31 apply (zenon_L275_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.15/11.31 apply (zenon_L697_); trivial.
% 11.15/11.31 apply (zenon_L125_); trivial.
% 11.15/11.31 (* end of lemma zenon_L698_ *)
% 11.15/11.31 assert (zenon_L699_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))) -> ((op (e2) (e0)) = (e2)) -> ((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0))) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H26c zenon_H1f2 zenon_H173 zenon_H1d4 zenon_H75 zenon_H24d zenon_Hdd zenon_H84 zenon_H269 zenon_Ha1 zenon_H12a zenon_He1 zenon_H12d zenon_Hec zenon_H1a9 zenon_H16f zenon_H1da zenon_H200 zenon_H22e zenon_H104 zenon_H1f7 zenon_H20c zenon_H38 zenon_Hca zenon_H2d zenon_H70 zenon_Hd6 zenon_H56 zenon_Hc5 zenon_H9e zenon_Ha5 zenon_H138 zenon_H169 zenon_H6e zenon_H158 zenon_H15a zenon_H109 zenon_H125 zenon_H155 zenon_H166 zenon_H1dd zenon_H69 zenon_H219 zenon_H26d zenon_H268 zenon_H103 zenon_H264.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ].
% 11.15/11.31 exact (zenon_H14e zenon_H103).
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.31 exact (zenon_H26d zenon_H2c).
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.31 apply (zenon_L694_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.31 exact (zenon_H56 zenon_H24).
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.31 apply (zenon_L689_); trivial.
% 11.15/11.31 apply (zenon_L695_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.31 apply (zenon_L269_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.31 apply (zenon_L677_); trivial.
% 11.15/11.31 apply (zenon_L237_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.31 apply (zenon_L694_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.31 exact (zenon_H56 zenon_H24).
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.31 apply (zenon_L481_); trivial.
% 11.15/11.31 apply (zenon_L695_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.31 exact (zenon_He6 zenon_H1f).
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.31 apply (zenon_L270_); trivial.
% 11.15/11.31 apply (zenon_L376_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.31 exact (zenon_H26d zenon_H2c).
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.31 apply (zenon_L694_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ].
% 11.15/11.31 apply (zenon_L270_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ].
% 11.15/11.31 apply (zenon_L89_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.31 apply (zenon_L127_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.31 apply (zenon_L698_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.15/11.31 apply (zenon_L84_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.15/11.31 apply (zenon_L605_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.15/11.31 apply (zenon_L697_); trivial.
% 11.15/11.31 apply (zenon_L125_); trivial.
% 11.15/11.31 exact (zenon_H165 zenon_H68).
% 11.15/11.31 apply (zenon_L377_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.31 exact (zenon_He6 zenon_H1f).
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.31 apply (zenon_L270_); trivial.
% 11.15/11.31 apply (zenon_L376_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.31 apply (zenon_L677_); trivial.
% 11.15/11.31 apply (zenon_L237_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.31 apply (zenon_L60_); trivial.
% 11.15/11.31 apply (zenon_L691_); trivial.
% 11.15/11.31 exact (zenon_H165 zenon_H68).
% 11.15/11.31 exact (zenon_H56 zenon_H24).
% 11.15/11.31 apply (zenon_L692_); trivial.
% 11.15/11.31 (* end of lemma zenon_L699_ *)
% 11.15/11.31 assert (zenon_L700_ : ((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e1)) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H264 zenon_Hca zenon_H81 zenon_H1f.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ].
% 11.15/11.31 exact (zenon_He6 zenon_H1f).
% 11.15/11.31 apply (zenon_L44_); trivial.
% 11.15/11.31 (* end of lemma zenon_L700_ *)
% 11.15/11.31 assert (zenon_L701_ : ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H26e zenon_H264 zenon_H1da zenon_H6e zenon_H169 zenon_H81 zenon_H1f7 zenon_Hca zenon_H38 zenon_Hd9 zenon_H2c zenon_H2d zenon_H268 zenon_H26c.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.31 apply (zenon_L5_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.31 exact (zenon_He6 zenon_H1f).
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.31 apply (zenon_L468_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.31 apply (zenon_L321_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.31 apply (zenon_L350_); trivial.
% 11.15/11.31 exact (zenon_H14f zenon_Hc4).
% 11.15/11.31 apply (zenon_L376_); trivial.
% 11.15/11.31 exact (zenon_H165 zenon_H68).
% 11.15/11.31 exact (zenon_H56 zenon_H24).
% 11.15/11.31 apply (zenon_L692_); trivial.
% 11.15/11.31 apply (zenon_L700_); trivial.
% 11.15/11.31 (* end of lemma zenon_L701_ *)
% 11.15/11.31 assert (zenon_L702_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.31 do 0 intro. intros zenon_Hd6 zenon_H1e zenon_H1d zenon_Hca zenon_H38 zenon_Hbd zenon_H6e zenon_H70.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.31 apply (zenon_L1_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.31 apply (zenon_L514_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.31 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.31 apply (zenon_L22_); trivial.
% 11.15/11.31 (* end of lemma zenon_L702_ *)
% 11.15/11.31 assert (zenon_L703_ : (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H19c zenon_Hea zenon_Hf0.
% 11.15/11.31 cut (((op (e1) (e2)) = (e0)) = ((op (e1) (e2)) = (op (e3) (e2)))).
% 11.15/11.31 intro zenon_D_pnotp.
% 11.15/11.31 apply zenon_H19c.
% 11.15/11.31 rewrite <- zenon_D_pnotp.
% 11.15/11.31 exact zenon_Hea.
% 11.15/11.31 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf6].
% 11.15/11.31 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H19d].
% 11.15/11.31 congruence.
% 11.15/11.31 apply zenon_H19d. apply refl_equal.
% 11.15/11.31 apply zenon_Hf6. apply sym_equal. exact zenon_Hf0.
% 11.15/11.31 (* end of lemma zenon_L703_ *)
% 11.15/11.31 assert (zenon_L704_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H1f4 zenon_Hea zenon_H19c zenon_H1ca zenon_H6e zenon_H9b zenon_H84 zenon_H176.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ].
% 11.15/11.31 apply (zenon_L703_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ].
% 11.15/11.31 apply (zenon_L369_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ].
% 11.15/11.31 apply (zenon_L33_); trivial.
% 11.15/11.31 exact (zenon_H176 zenon_H153).
% 11.15/11.31 (* end of lemma zenon_L704_ *)
% 11.15/11.31 assert (zenon_L705_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.31 do 0 intro. intros zenon_Hd6 zenon_H2d zenon_He5 zenon_Hca zenon_H38 zenon_Hbd zenon_H6e zenon_H70.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.31 apply (zenon_L56_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.31 apply (zenon_L514_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.31 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.31 apply (zenon_L22_); trivial.
% 11.15/11.31 (* end of lemma zenon_L705_ *)
% 11.15/11.31 assert (zenon_L706_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False).
% 11.15/11.31 do 0 intro. intros zenon_Hf8 zenon_H80 zenon_Hec zenon_H42 zenon_Hf9 zenon_Hdc zenon_Hdd.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ].
% 11.15/11.31 apply (zenon_L60_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ].
% 11.15/11.31 apply (zenon_L98_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ].
% 11.15/11.31 exact (zenon_Hf9 zenon_Hfc).
% 11.15/11.31 apply (zenon_L51_); trivial.
% 11.15/11.31 (* end of lemma zenon_L706_ *)
% 11.15/11.31 assert (zenon_L707_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H225 zenon_Hdd zenon_Hf9 zenon_H42 zenon_Hec zenon_H80 zenon_Hf8 zenon_Hca zenon_He9 zenon_H74 zenon_Hf7 zenon_H176.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Hdc | zenon_intro zenon_H226 ].
% 11.15/11.31 apply (zenon_L706_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hcb | zenon_intro zenon_H227 ].
% 11.15/11.31 apply (zenon_L303_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H65 | zenon_intro zenon_H153 ].
% 11.15/11.31 apply (zenon_L67_); trivial.
% 11.15/11.31 exact (zenon_H176 zenon_H153).
% 11.15/11.31 (* end of lemma zenon_L707_ *)
% 11.15/11.31 assert (zenon_L708_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H235 zenon_H1a7 zenon_H1a6 zenon_H75 zenon_H6e zenon_H108 zenon_Hb9 zenon_H225 zenon_Hdd zenon_Hf9 zenon_H42 zenon_Hec zenon_H80 zenon_Hf8 zenon_Hca zenon_He9 zenon_Hf7 zenon_H176.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_Hba | zenon_intro zenon_H236 ].
% 11.15/11.31 apply (zenon_L189_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H18e | zenon_intro zenon_H237 ].
% 11.15/11.31 apply (zenon_L377_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H114 | zenon_intro zenon_H74 ].
% 11.15/11.31 apply (zenon_L227_); trivial.
% 11.15/11.31 apply (zenon_L707_); trivial.
% 11.15/11.31 (* end of lemma zenon_L708_ *)
% 11.15/11.31 assert (zenon_L709_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H219 zenon_Hbd zenon_H38 zenon_H1d zenon_Hd6 zenon_H2d zenon_Hca zenon_H121 zenon_H1a9 zenon_H70 zenon_H235 zenon_H1a6 zenon_H75 zenon_Hb9 zenon_H225 zenon_Hdd zenon_Hf9 zenon_Hec zenon_H80 zenon_Hf8 zenon_He9 zenon_Hf7 zenon_H176 zenon_H1ab zenon_Ha5 zenon_H23 zenon_H109 zenon_H171 zenon_H180 zenon_H6e zenon_H69.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.31 apply (zenon_L702_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.31 apply (zenon_L269_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.31 exact (zenon_H171 zenon_H175).
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.31 apply (zenon_L388_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.31 apply (zenon_L36_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ].
% 11.15/11.31 apply (zenon_L708_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ].
% 11.15/11.31 apply (zenon_L22_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ].
% 11.15/11.31 apply (zenon_L478_); trivial.
% 11.15/11.31 apply (zenon_L338_); trivial.
% 11.15/11.31 apply (zenon_L237_); trivial.
% 11.15/11.31 (* end of lemma zenon_L709_ *)
% 11.15/11.31 assert (zenon_L710_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H135 zenon_Ha2 zenon_H12e zenon_H130 zenon_H12d zenon_Hca zenon_H22.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H23 | zenon_intro zenon_H136 ].
% 11.15/11.31 apply (zenon_L515_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H11f | zenon_intro zenon_H137 ].
% 11.15/11.31 apply (zenon_L89_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H46 | zenon_intro zenon_H89 ].
% 11.15/11.31 apply (zenon_L90_); trivial.
% 11.15/11.31 apply (zenon_L57_); trivial.
% 11.15/11.31 (* end of lemma zenon_L710_ *)
% 11.15/11.31 assert (zenon_L711_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H225 zenon_H38 zenon_H42 zenon_Hca zenon_He9 zenon_Ha9 zenon_H81 zenon_H176.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Hdc | zenon_intro zenon_H226 ].
% 11.15/11.31 apply (zenon_L71_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hcb | zenon_intro zenon_H227 ].
% 11.15/11.31 apply (zenon_L303_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H65 | zenon_intro zenon_H153 ].
% 11.15/11.31 apply (zenon_L53_); trivial.
% 11.15/11.31 exact (zenon_H176 zenon_H153).
% 11.15/11.31 (* end of lemma zenon_L711_ *)
% 11.15/11.31 assert (zenon_L712_ : ((op (e2) (e3)) = (e0)) -> ((op (e2) (e2)) = (e3)) -> (~((e0) = (op (e2) (op (e2) (e2))))) -> False).
% 11.15/11.31 do 0 intro. intros zenon_Hba zenon_H65 zenon_H25f.
% 11.15/11.31 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 11.15/11.31 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((e0) = (op (e2) (op (e2) (e2))))).
% 11.15/11.31 intro zenon_D_pnotp.
% 11.15/11.31 apply zenon_H25f.
% 11.15/11.31 rewrite <- zenon_D_pnotp.
% 11.15/11.31 exact zenon_Had.
% 11.15/11.31 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 11.15/11.31 cut (((op (e2) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H260].
% 11.15/11.31 congruence.
% 11.15/11.31 cut (((op (e2) (e3)) = (e0)) = ((op (e2) (op (e2) (e2))) = (e0))).
% 11.15/11.31 intro zenon_D_pnotp.
% 11.15/11.31 apply zenon_H260.
% 11.15/11.31 rewrite <- zenon_D_pnotp.
% 11.15/11.31 exact zenon_Hba.
% 11.15/11.31 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.15/11.31 cut (((op (e2) (e3)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H250].
% 11.15/11.31 congruence.
% 11.15/11.31 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 11.15/11.31 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e3)) = (op (e2) (op (e2) (e2))))).
% 11.15/11.31 intro zenon_D_pnotp.
% 11.15/11.31 apply zenon_H250.
% 11.15/11.31 rewrite <- zenon_D_pnotp.
% 11.15/11.31 exact zenon_Had.
% 11.15/11.31 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 11.15/11.31 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H24f].
% 11.15/11.31 congruence.
% 11.15/11.31 apply (zenon_L520_); trivial.
% 11.15/11.31 apply zenon_Hae. apply refl_equal.
% 11.15/11.31 apply zenon_Hae. apply refl_equal.
% 11.15/11.31 apply zenon_H2b. apply refl_equal.
% 11.15/11.31 apply zenon_Hae. apply refl_equal.
% 11.15/11.31 apply zenon_Hae. apply refl_equal.
% 11.15/11.31 (* end of lemma zenon_L712_ *)
% 11.15/11.31 assert (zenon_L713_ : ((op (e0) (e2)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e2)) = (e3)) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H42 zenon_Hba zenon_H65.
% 11.15/11.31 apply (zenon_notand_s _ _ ax23); [ zenon_intro zenon_H252 | zenon_intro zenon_H26f ].
% 11.15/11.31 apply zenon_H252. apply sym_equal. exact zenon_H65.
% 11.15/11.31 apply (zenon_notand_s _ _ zenon_H26f); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H25f ].
% 11.15/11.31 elim (classic ((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ].
% 11.15/11.31 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2))) = ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))).
% 11.15/11.31 intro zenon_D_pnotp.
% 11.15/11.31 apply zenon_Hb3.
% 11.15/11.31 rewrite <- zenon_D_pnotp.
% 11.15/11.31 exact zenon_Hb4.
% 11.15/11.31 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 11.15/11.31 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 11.15/11.31 congruence.
% 11.15/11.31 cut (((op (e0) (e2)) = (e1)) = ((op (op (e2) (op (e2) (e2))) (e2)) = (e1))).
% 11.15/11.31 intro zenon_D_pnotp.
% 11.15/11.31 apply zenon_Hb6.
% 11.15/11.31 rewrite <- zenon_D_pnotp.
% 11.15/11.31 exact zenon_H42.
% 11.15/11.31 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.15/11.31 cut (((op (e0) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H262].
% 11.15/11.31 congruence.
% 11.15/11.31 elim (classic ((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ].
% 11.15/11.31 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2))) = ((op (e0) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))).
% 11.15/11.31 intro zenon_D_pnotp.
% 11.15/11.31 apply zenon_H262.
% 11.15/11.31 rewrite <- zenon_D_pnotp.
% 11.15/11.31 exact zenon_Hb4.
% 11.15/11.31 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 11.15/11.31 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H263].
% 11.15/11.31 congruence.
% 11.15/11.31 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.15/11.31 cut (((op (e2) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H260].
% 11.15/11.31 congruence.
% 11.15/11.31 cut (((op (e2) (e3)) = (e0)) = ((op (e2) (op (e2) (e2))) = (e0))).
% 11.15/11.31 intro zenon_D_pnotp.
% 11.15/11.31 apply zenon_H260.
% 11.15/11.31 rewrite <- zenon_D_pnotp.
% 11.15/11.31 exact zenon_Hba.
% 11.15/11.31 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.15/11.31 cut (((op (e2) (e3)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H250].
% 11.15/11.31 congruence.
% 11.15/11.31 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 11.15/11.31 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e3)) = (op (e2) (op (e2) (e2))))).
% 11.15/11.31 intro zenon_D_pnotp.
% 11.15/11.31 apply zenon_H250.
% 11.15/11.31 rewrite <- zenon_D_pnotp.
% 11.15/11.31 exact zenon_Had.
% 11.15/11.31 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 11.15/11.31 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H24f].
% 11.15/11.31 congruence.
% 11.15/11.31 apply (zenon_L520_); trivial.
% 11.15/11.31 apply zenon_Hae. apply refl_equal.
% 11.15/11.31 apply zenon_Hae. apply refl_equal.
% 11.15/11.31 apply zenon_H2b. apply refl_equal.
% 11.15/11.31 apply zenon_H45. apply refl_equal.
% 11.15/11.31 apply zenon_Hb5. apply refl_equal.
% 11.15/11.31 apply zenon_Hb5. apply refl_equal.
% 11.15/11.31 apply zenon_H2f. apply refl_equal.
% 11.15/11.31 apply zenon_Hb5. apply refl_equal.
% 11.15/11.31 apply zenon_Hb5. apply refl_equal.
% 11.15/11.31 apply (zenon_L712_); trivial.
% 11.15/11.31 (* end of lemma zenon_L713_ *)
% 11.15/11.31 assert (zenon_L714_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e3)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e2)) = (e3))) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H225 zenon_H38 zenon_Hca zenon_He9 zenon_Hba zenon_H42 zenon_H176.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Hdc | zenon_intro zenon_H226 ].
% 11.15/11.31 apply (zenon_L71_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hcb | zenon_intro zenon_H227 ].
% 11.15/11.31 apply (zenon_L303_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H65 | zenon_intro zenon_H153 ].
% 11.15/11.31 apply (zenon_L713_); trivial.
% 11.15/11.31 exact (zenon_H176 zenon_H153).
% 11.15/11.31 (* end of lemma zenon_L714_ *)
% 11.15/11.31 assert (zenon_L715_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H1f4 zenon_Hea zenon_H19c zenon_H42 zenon_H84 zenon_H95 zenon_H140 zenon_H176.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ].
% 11.15/11.31 apply (zenon_L703_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ].
% 11.15/11.31 apply (zenon_L27_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ].
% 11.15/11.31 apply (zenon_L174_); trivial.
% 11.15/11.31 exact (zenon_H176 zenon_H153).
% 11.15/11.31 (* end of lemma zenon_L715_ *)
% 11.15/11.31 assert (zenon_L716_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H146 zenon_H2d zenon_H1f7 zenon_H1f zenon_H176 zenon_H140 zenon_H84 zenon_H42 zenon_H19c zenon_Hea zenon_H1f4 zenon_Hbc zenon_H125 zenon_H150 zenon_H22 zenon_H12d zenon_H135 zenon_H81 zenon_H225 zenon_H38 zenon_Hca zenon_He9 zenon_H118 zenon_H23 zenon_H109 zenon_H13a zenon_H6e zenon_H16b.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H11f | zenon_intro zenon_H147 ].
% 11.15/11.31 apply (zenon_L269_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H3f | zenon_intro zenon_H148 ].
% 11.15/11.31 apply (zenon_L383_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H12e | zenon_intro zenon_H141 ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.15/11.31 apply (zenon_L388_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.15/11.31 exact (zenon_H118 zenon_H11c).
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.15/11.31 apply (zenon_L113_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.15/11.31 apply (zenon_L710_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.15/11.31 apply (zenon_L711_); trivial.
% 11.15/11.31 apply (zenon_L714_); trivial.
% 11.15/11.31 apply (zenon_L715_); trivial.
% 11.15/11.31 apply (zenon_L177_); trivial.
% 11.15/11.31 (* end of lemma zenon_L716_ *)
% 11.15/11.31 assert (zenon_L717_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 11.15/11.31 do 0 intro. intros zenon_H7d zenon_H122 zenon_Ha1 zenon_Ha9 zenon_H81 zenon_H225 zenon_H37 zenon_H41 zenon_Hca zenon_He9 zenon_Hf7 zenon_H176.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ].
% 11.15/11.31 apply (zenon_L470_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ].
% 11.15/11.31 apply (zenon_L323_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ].
% 11.15/11.31 apply (zenon_L53_); trivial.
% 11.15/11.31 apply (zenon_L528_); trivial.
% 11.15/11.31 (* end of lemma zenon_L717_ *)
% 11.15/11.31 assert (zenon_L718_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.31 do 0 intro. intros zenon_Hd6 zenon_H123 zenon_H104 zenon_Hca zenon_H38 zenon_Hbd zenon_H6e zenon_H70.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.31 apply (zenon_L347_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.31 apply (zenon_L514_); trivial.
% 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.31 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.31 apply (zenon_L22_); trivial.
% 11.15/11.31 (* end of lemma zenon_L718_ *)
% 11.15/11.31 assert (zenon_L719_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H16f zenon_H88 zenon_H1ab zenon_H1a9 zenon_H121 zenon_H219 zenon_H1d zenon_H169 zenon_Hd6 zenon_H104 zenon_Hca zenon_H38 zenon_Hbd zenon_H70 zenon_H180 zenon_H171 zenon_Ha5 zenon_H14b zenon_H1a6 zenon_H7d zenon_H122 zenon_Ha1 zenon_H81 zenon_H225 zenon_H41 zenon_He9 zenon_Hf7 zenon_H176 zenon_H12d zenon_H23 zenon_H235 zenon_H75 zenon_Hb9 zenon_Hdd zenon_Hf9 zenon_Hec zenon_Hf8 zenon_Hbc zenon_H146 zenon_H2d zenon_H1f7 zenon_H140 zenon_H84 zenon_H19c zenon_H1f4 zenon_H125 zenon_H135 zenon_H118 zenon_H109 zenon_H13a zenon_H16b zenon_H200 zenon_H22 zenon_H149 zenon_H1da zenon_H6e zenon_H69.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.32 apply (zenon_L447_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.32 apply (zenon_L705_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.32 apply (zenon_L709_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.32 apply (zenon_L702_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.32 apply (zenon_L269_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.32 apply (zenon_L11_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.32 exact (zenon_H171 zenon_H175).
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.32 apply (zenon_L388_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.32 apply (zenon_L36_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.32 apply (zenon_L705_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.32 apply (zenon_L2_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.32 apply (zenon_L716_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.15/11.32 apply (zenon_L708_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.15/11.32 apply (zenon_L515_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.15/11.32 apply (zenon_L717_); trivial.
% 11.15/11.32 apply (zenon_L189_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.32 apply (zenon_L57_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.32 apply (zenon_L71_); trivial.
% 11.15/11.32 apply (zenon_L184_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.32 apply (zenon_L718_); trivial.
% 11.15/11.32 apply (zenon_L376_); trivial.
% 11.15/11.32 apply (zenon_L237_); trivial.
% 11.15/11.32 (* end of lemma zenon_L719_ *)
% 11.15/11.32 assert (zenon_L720_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e1)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H117 zenon_Ha5 zenon_H1f zenon_H118 zenon_H9b zenon_H1dd zenon_Ha2 zenon_Hca.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.32 apply (zenon_L224_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.32 exact (zenon_H118 zenon_H11c).
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.32 apply (zenon_L512_); trivial.
% 11.15/11.32 apply (zenon_L344_); trivial.
% 11.15/11.32 (* end of lemma zenon_L720_ *)
% 11.15/11.32 assert (zenon_L721_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (op (e1) (op (e1) (e1))))) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H1a7 zenon_Hca zenon_H203.
% 11.15/11.32 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ].
% 11.15/11.32 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e0) = (op (e1) (op (e1) (e1))))).
% 11.15/11.32 intro zenon_D_pnotp.
% 11.15/11.32 apply zenon_H203.
% 11.15/11.32 rewrite <- zenon_D_pnotp.
% 11.15/11.32 exact zenon_H59.
% 11.15/11.32 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 11.15/11.32 cut (((op (e1) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H204].
% 11.15/11.32 congruence.
% 11.15/11.32 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (op (e1) (e1))) = (e0))).
% 11.15/11.32 intro zenon_D_pnotp.
% 11.15/11.32 apply zenon_H204.
% 11.15/11.32 rewrite <- zenon_D_pnotp.
% 11.15/11.32 exact zenon_H1a7.
% 11.15/11.32 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.15/11.32 cut (((op (e1) (e3)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H209].
% 11.15/11.32 congruence.
% 11.15/11.32 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ].
% 11.15/11.32 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e3)) = (op (e1) (op (e1) (e1))))).
% 11.15/11.32 intro zenon_D_pnotp.
% 11.15/11.32 apply zenon_H209.
% 11.15/11.32 rewrite <- zenon_D_pnotp.
% 11.15/11.32 exact zenon_H59.
% 11.15/11.32 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 11.15/11.32 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H208].
% 11.15/11.32 congruence.
% 11.15/11.32 apply (zenon_L342_); trivial.
% 11.15/11.32 apply zenon_H5a. apply refl_equal.
% 11.15/11.32 apply zenon_H5a. apply refl_equal.
% 11.15/11.32 apply zenon_H2b. apply refl_equal.
% 11.15/11.32 apply zenon_H5a. apply refl_equal.
% 11.15/11.32 apply zenon_H5a. apply refl_equal.
% 11.15/11.32 (* end of lemma zenon_L721_ *)
% 11.15/11.32 assert (zenon_L722_ : ((op (e0) (e1)) = (e2)) -> ((op (e1) (e3)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H46 zenon_H1a7 zenon_Hca.
% 11.15/11.32 apply (zenon_notand_s _ _ ax17); [ zenon_intro zenon_H20b | zenon_intro zenon_H270 ].
% 11.15/11.32 apply zenon_H20b. apply sym_equal. exact zenon_Hca.
% 11.15/11.32 apply (zenon_notand_s _ _ zenon_H270); [ zenon_intro zenon_H97 | zenon_intro zenon_H203 ].
% 11.15/11.32 elim (classic ((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ].
% 11.15/11.32 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1))) = ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))).
% 11.15/11.32 intro zenon_D_pnotp.
% 11.15/11.32 apply zenon_H97.
% 11.15/11.32 rewrite <- zenon_D_pnotp.
% 11.15/11.32 exact zenon_H60.
% 11.15/11.32 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H61].
% 11.15/11.32 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 11.15/11.32 congruence.
% 11.15/11.32 cut (((op (e0) (e1)) = (e2)) = ((op (op (e1) (op (e1) (e1))) (e1)) = (e2))).
% 11.15/11.32 intro zenon_D_pnotp.
% 11.15/11.32 apply zenon_H98.
% 11.15/11.32 rewrite <- zenon_D_pnotp.
% 11.15/11.32 exact zenon_H46.
% 11.15/11.32 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.15/11.32 cut (((op (e0) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 11.15/11.32 congruence.
% 11.15/11.32 elim (classic ((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ].
% 11.15/11.32 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1))) = ((op (e0) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))).
% 11.15/11.32 intro zenon_D_pnotp.
% 11.15/11.32 apply zenon_H206.
% 11.15/11.32 rewrite <- zenon_D_pnotp.
% 11.15/11.32 exact zenon_H60.
% 11.15/11.32 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H61].
% 11.15/11.32 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H207].
% 11.15/11.32 congruence.
% 11.15/11.32 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 11.15/11.32 cut (((op (e1) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H204].
% 11.15/11.32 congruence.
% 11.15/11.32 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (op (e1) (e1))) = (e0))).
% 11.15/11.32 intro zenon_D_pnotp.
% 11.15/11.32 apply zenon_H204.
% 11.15/11.32 rewrite <- zenon_D_pnotp.
% 11.15/11.32 exact zenon_H1a7.
% 11.15/11.32 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.15/11.32 cut (((op (e1) (e3)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H209].
% 11.15/11.32 congruence.
% 11.15/11.32 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ].
% 11.15/11.32 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e3)) = (op (e1) (op (e1) (e1))))).
% 11.15/11.32 intro zenon_D_pnotp.
% 11.15/11.32 apply zenon_H209.
% 11.15/11.32 rewrite <- zenon_D_pnotp.
% 11.15/11.32 exact zenon_H59.
% 11.15/11.32 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 11.15/11.32 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H208].
% 11.15/11.32 congruence.
% 11.15/11.32 apply (zenon_L342_); trivial.
% 11.15/11.32 apply zenon_H5a. apply refl_equal.
% 11.15/11.32 apply zenon_H5a. apply refl_equal.
% 11.15/11.32 apply zenon_H2b. apply refl_equal.
% 11.15/11.32 apply zenon_H2f. apply refl_equal.
% 11.15/11.32 apply zenon_H61. apply refl_equal.
% 11.15/11.32 apply zenon_H61. apply refl_equal.
% 11.15/11.32 apply zenon_H45. apply refl_equal.
% 11.15/11.32 apply zenon_H61. apply refl_equal.
% 11.15/11.32 apply zenon_H61. apply refl_equal.
% 11.15/11.32 apply (zenon_L721_); trivial.
% 11.15/11.32 (* end of lemma zenon_L722_ *)
% 11.15/11.32 assert (zenon_L723_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H13a zenon_Hca zenon_H1a7 zenon_H118 zenon_H103 zenon_H12a zenon_H163 zenon_H109.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.15/11.32 apply (zenon_L722_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.15/11.32 exact (zenon_H118 zenon_H11c).
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.15/11.32 apply (zenon_L274_); trivial.
% 11.15/11.32 apply (zenon_L275_); trivial.
% 11.15/11.32 (* end of lemma zenon_L723_ *)
% 11.15/11.32 assert (zenon_L724_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H135 zenon_H88 zenon_H2c zenon_H12e zenon_H130 zenon_H12d zenon_Hca zenon_H22.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H23 | zenon_intro zenon_H136 ].
% 11.15/11.32 apply (zenon_L447_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H11f | zenon_intro zenon_H137 ].
% 11.15/11.32 apply (zenon_L89_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H46 | zenon_intro zenon_H89 ].
% 11.15/11.32 apply (zenon_L90_); trivial.
% 11.15/11.32 apply (zenon_L57_); trivial.
% 11.15/11.32 (* end of lemma zenon_L724_ *)
% 11.15/11.32 assert (zenon_L725_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> ((op (e3) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H1d4 zenon_Ha5 zenon_H103 zenon_H11f zenon_H12d zenon_Ha2 zenon_Hdc zenon_H6e zenon_H75.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ].
% 11.15/11.32 apply (zenon_L270_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ].
% 11.15/11.32 apply (zenon_L89_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ].
% 11.15/11.32 apply (zenon_L599_); trivial.
% 11.15/11.32 apply (zenon_L377_); trivial.
% 11.15/11.32 (* end of lemma zenon_L725_ *)
% 11.15/11.32 assert (zenon_L726_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H1fc zenon_H2d zenon_H81 zenon_H75 zenon_H6e zenon_Hdc zenon_H12d zenon_H11f zenon_Ha5 zenon_H1d4 zenon_H13a zenon_Hca zenon_H1a7 zenon_H118 zenon_H103 zenon_H12a zenon_H109.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.32 apply (zenon_L269_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.32 apply (zenon_L44_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.32 apply (zenon_L725_); trivial.
% 11.15/11.32 apply (zenon_L723_); trivial.
% 11.15/11.32 (* end of lemma zenon_L726_ *)
% 11.15/11.32 assert (zenon_L727_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e3)) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H1ab zenon_H46 zenon_H70 zenon_H6e zenon_H108 zenon_H1a9 zenon_H121 zenon_Hca.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ].
% 11.15/11.32 apply (zenon_L722_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ].
% 11.15/11.32 apply (zenon_L22_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ].
% 11.15/11.32 apply (zenon_L478_); trivial.
% 11.15/11.32 apply (zenon_L338_); trivial.
% 11.15/11.32 (* end of lemma zenon_L727_ *)
% 11.15/11.32 assert (zenon_L728_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> ((op (e3) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H1d4 zenon_H38 zenon_H4c zenon_H22 zenon_Hca zenon_H12d zenon_H130 zenon_H2c zenon_H88 zenon_H135 zenon_Ha2 zenon_Hdc zenon_H6e zenon_H75.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ].
% 11.15/11.32 apply (zenon_L350_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ].
% 11.15/11.32 apply (zenon_L724_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ].
% 11.15/11.32 apply (zenon_L599_); trivial.
% 11.15/11.32 apply (zenon_L377_); trivial.
% 11.15/11.32 (* end of lemma zenon_L728_ *)
% 11.15/11.32 assert (zenon_L729_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e2)) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H13a zenon_H121 zenon_H1a9 zenon_H108 zenon_H70 zenon_H1ab zenon_H149 zenon_H75 zenon_H6e zenon_Hdc zenon_Ha2 zenon_H135 zenon_H88 zenon_H2c zenon_H12d zenon_Hca zenon_H22 zenon_H4c zenon_H38 zenon_H1d4 zenon_H138 zenon_H8d.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.15/11.32 apply (zenon_L727_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.15/11.32 apply (zenon_L285_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.15/11.32 apply (zenon_L728_); trivial.
% 11.15/11.32 apply (zenon_L93_); trivial.
% 11.15/11.32 (* end of lemma zenon_L729_ *)
% 11.15/11.32 assert (zenon_L730_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e3)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.15/11.32 do 0 intro. intros zenon_Hd3 zenon_H38 zenon_H1f zenon_H1a7 zenon_H46 zenon_Hcc zenon_H65 zenon_H1a9 zenon_H101.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.15/11.32 apply (zenon_L9_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.15/11.32 apply (zenon_L722_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.15/11.32 apply (zenon_L45_); trivial.
% 11.15/11.32 apply (zenon_L192_); trivial.
% 11.15/11.32 (* end of lemma zenon_L730_ *)
% 11.15/11.32 assert (zenon_L731_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e3)) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e1)) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H1cd zenon_Hf7 zenon_H121 zenon_Hca zenon_H81 zenon_H244 zenon_H101 zenon_H1a9 zenon_Hcc zenon_H46 zenon_H1f zenon_H38 zenon_Hd3 zenon_H65 zenon_H42 zenon_H2d zenon_H6e.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H31 | zenon_intro zenon_H1ce ].
% 11.15/11.32 apply (zenon_L680_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1cf ].
% 11.15/11.32 apply (zenon_L730_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hba | zenon_intro zenon_H68 ].
% 11.15/11.32 apply (zenon_L713_); trivial.
% 11.15/11.32 apply (zenon_L165_); trivial.
% 11.15/11.32 (* end of lemma zenon_L731_ *)
% 11.15/11.32 assert (zenon_L732_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H225 zenon_He9 zenon_H6e zenon_H2d zenon_H42 zenon_Hd3 zenon_H38 zenon_H1f zenon_H46 zenon_Hcc zenon_H1a9 zenon_H101 zenon_H244 zenon_H81 zenon_Hca zenon_H121 zenon_Hf7 zenon_H1cd zenon_H176.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Hdc | zenon_intro zenon_H226 ].
% 11.15/11.32 apply (zenon_L71_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hcb | zenon_intro zenon_H227 ].
% 11.15/11.32 apply (zenon_L303_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H65 | zenon_intro zenon_H153 ].
% 11.15/11.32 apply (zenon_L731_); trivial.
% 11.15/11.32 exact (zenon_H176 zenon_H153).
% 11.15/11.32 (* end of lemma zenon_L732_ *)
% 11.15/11.32 assert (zenon_L733_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H14b zenon_H2c zenon_H22 zenon_H225 zenon_He9 zenon_H6e zenon_H2d zenon_H42 zenon_Hd3 zenon_H38 zenon_H1f zenon_H46 zenon_Hcc zenon_H1a9 zenon_H244 zenon_H81 zenon_Hca zenon_H121 zenon_Hf7 zenon_H1cd zenon_H176.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.32 apply (zenon_L468_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.32 apply (zenon_L57_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.32 apply (zenon_L71_); trivial.
% 11.15/11.32 apply (zenon_L732_); trivial.
% 11.15/11.32 (* end of lemma zenon_L733_ *)
% 11.15/11.32 assert (zenon_L734_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H14b zenon_H81 zenon_H2c zenon_H22 zenon_Hca zenon_H38 zenon_H42 zenon_H108 zenon_H149.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.32 apply (zenon_L468_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.32 apply (zenon_L57_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.32 apply (zenon_L71_); trivial.
% 11.15/11.32 apply (zenon_L184_); trivial.
% 11.15/11.32 (* end of lemma zenon_L734_ *)
% 11.15/11.32 assert (zenon_L735_ : ((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e3)) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H16e zenon_H6e zenon_Ha5 zenon_H153.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H176 | zenon_intro zenon_H7c ].
% 11.15/11.32 exact (zenon_H176 zenon_H153).
% 11.15/11.32 apply (zenon_L125_); trivial.
% 11.15/11.32 (* end of lemma zenon_L735_ *)
% 11.15/11.32 assert (zenon_L736_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H1f4 zenon_Hea zenon_H19c zenon_H1ca zenon_H6e zenon_Hfc zenon_Hf5 zenon_H176.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ].
% 11.15/11.32 apply (zenon_L703_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ].
% 11.15/11.32 apply (zenon_L369_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ].
% 11.15/11.32 apply (zenon_L163_); trivial.
% 11.15/11.32 exact (zenon_H176 zenon_H153).
% 11.15/11.32 (* end of lemma zenon_L736_ *)
% 11.15/11.32 assert (zenon_L737_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e1) = (e2))) -> ((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> ((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2))) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H258 zenon_Ha5 zenon_H16e zenon_H1f4 zenon_Hfc zenon_Hf5 zenon_H6e zenon_H1ca zenon_H19c zenon_Hcc zenon_He9 zenon_Hca zenon_H20f zenon_H118 zenon_H174.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ].
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ].
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H176 | zenon_intro zenon_H7c ].
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_Hea | zenon_intro zenon_H210 ].
% 11.15/11.32 apply (zenon_L736_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H211 ].
% 11.15/11.32 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H10d | zenon_intro zenon_Hcb ].
% 11.15/11.32 apply (zenon_L140_); trivial.
% 11.15/11.32 apply (zenon_L303_); trivial.
% 11.15/11.32 exact (zenon_H79 zenon_H7c).
% 11.15/11.32 exact (zenon_H118 zenon_H11c).
% 11.15/11.32 apply (zenon_L735_); trivial.
% 11.15/11.32 (* end of lemma zenon_L737_ *)
% 11.15/11.32 assert (zenon_L738_ : ((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2))) -> ((op (e1) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e1)) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H174 zenon_Hca zenon_H149 zenon_Hc3.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ].
% 11.15/11.32 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.32 apply (zenon_L285_); trivial.
% 11.15/11.32 (* end of lemma zenon_L738_ *)
% 11.15/11.32 assert (zenon_L739_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H225 zenon_H81 zenon_He3 zenon_Hca zenon_He9 zenon_H66 zenon_H38 zenon_H176.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Hdc | zenon_intro zenon_H226 ].
% 11.15/11.32 apply (zenon_L183_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hcb | zenon_intro zenon_H227 ].
% 11.15/11.32 apply (zenon_L303_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H65 | zenon_intro zenon_H153 ].
% 11.15/11.32 apply (zenon_L20_); trivial.
% 11.15/11.32 exact (zenon_H176 zenon_H153).
% 11.15/11.32 (* end of lemma zenon_L739_ *)
% 11.15/11.32 assert (zenon_L740_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((e2) = (e3))) -> ((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> ((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))) -> (~((e1) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H254 zenon_H149 zenon_H174 zenon_Hbe zenon_H6e zenon_H1ca zenon_H81 zenon_He9 zenon_Hca zenon_H38 zenon_H225 zenon_He3 zenon_H2d zenon_H16e zenon_Ha5 zenon_H258.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_Hc3 ].
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ].
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ].
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H176 | zenon_intro zenon_H7c ].
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 11.15/11.32 apply (zenon_L467_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 11.15/11.32 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 11.15/11.32 apply (zenon_L739_); trivial.
% 11.15/11.32 apply (zenon_L369_); trivial.
% 11.15/11.32 exact (zenon_H79 zenon_H7c).
% 11.15/11.32 exact (zenon_H118 zenon_H11c).
% 11.15/11.32 apply (zenon_L735_); trivial.
% 11.15/11.32 apply (zenon_L738_); trivial.
% 11.15/11.32 (* end of lemma zenon_L740_ *)
% 11.15/11.32 assert (zenon_L741_ : (((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\(((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e3)) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H25b zenon_H6e zenon_H70 zenon_Hca.
% 11.15/11.32 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25d. zenon_intro zenon_H25c.
% 11.15/11.32 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H272. zenon_intro zenon_H271.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1cc | zenon_intro zenon_H6f ].
% 11.15/11.32 exact (zenon_H1cc zenon_Hca).
% 11.15/11.32 apply (zenon_L22_); trivial.
% 11.15/11.32 (* end of lemma zenon_L741_ *)
% 11.15/11.32 assert (zenon_L742_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H19e zenon_H14e zenon_H1f3 zenon_Hdc zenon_H84 zenon_Hf5 zenon_H19c zenon_Hc3 zenon_Ha9 zenon_H1f4 zenon_H1a6 zenon_H10c.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.32 exact (zenon_H14e zenon_H103).
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.32 exact (zenon_H1f3 zenon_H130).
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.32 apply (zenon_L315_); trivial.
% 11.15/11.32 apply (zenon_L231_); trivial.
% 11.15/11.32 (* end of lemma zenon_L742_ *)
% 11.15/11.32 assert (zenon_L743_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e2))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H117 zenon_H1d zenon_H109 zenon_H24 zenon_H3d zenon_H1f3 zenon_He9 zenon_H88 zenon_H175 zenon_H13a zenon_H6f zenon_Ha5.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.32 apply (zenon_L281_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.32 apply (zenon_L149_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.32 apply (zenon_L313_); trivial.
% 11.15/11.32 apply (zenon_L78_); trivial.
% 11.15/11.32 (* end of lemma zenon_L743_ *)
% 11.15/11.32 assert (zenon_L744_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e2))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> False).
% 11.15/11.32 do 0 intro. intros zenon_Hd6 zenon_H123 zenon_H104 zenon_H40 zenon_H1a6 zenon_H1f4 zenon_Ha9 zenon_H19c zenon_Hf5 zenon_H84 zenon_Hdc zenon_H14e zenon_H19e zenon_H117 zenon_H1d zenon_H109 zenon_H24 zenon_H3d zenon_H1f3 zenon_He9 zenon_H88 zenon_H175 zenon_H13a zenon_Ha5.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.32 apply (zenon_L347_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.32 exact (zenon_H40 zenon_H3f).
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.32 apply (zenon_L281_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.32 apply (zenon_L149_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.32 apply (zenon_L313_); trivial.
% 11.15/11.32 apply (zenon_L742_); trivial.
% 11.15/11.32 apply (zenon_L743_); trivial.
% 11.15/11.32 (* end of lemma zenon_L744_ *)
% 11.15/11.32 assert (zenon_L745_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H200 zenon_Hc5 zenon_H88 zenon_H19e zenon_H14e zenon_Hdc zenon_H84 zenon_Hf5 zenon_H19c zenon_H1f4 zenon_H1a6 zenon_H104 zenon_H123 zenon_H150 zenon_H138 zenon_Hd6 zenon_H2d zenon_H117 zenon_H1d zenon_H140 zenon_H170 zenon_Ha9 zenon_H109 zenon_H175 zenon_H41 zenon_H1b9 zenon_H67 zenon_H10e zenon_Hbe zenon_H145 zenon_H1f9 zenon_H40 zenon_H162 zenon_Ha1 zenon_H3d zenon_H1f7 zenon_H11f zenon_H38 zenon_H13b zenon_H1f3 zenon_He9 zenon_H13a zenon_Ha5 zenon_H1fd zenon_H1fc zenon_H1a9 zenon_H31.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.32 apply (zenon_L127_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.32 apply (zenon_L744_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.32 apply (zenon_L327_); trivial.
% 11.15/11.32 apply (zenon_L328_); trivial.
% 11.15/11.32 (* end of lemma zenon_L745_ *)
% 11.15/11.32 assert (zenon_L746_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H19e zenon_H14e zenon_H1f3 zenon_Hdd zenon_H9e zenon_Ha5 zenon_H156 zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_H75.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.32 exact (zenon_H14e zenon_H103).
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.32 exact (zenon_H1f3 zenon_H130).
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.32 apply (zenon_L145_); trivial.
% 11.15/11.32 apply (zenon_L587_); trivial.
% 11.15/11.32 (* end of lemma zenon_L746_ *)
% 11.15/11.32 assert (zenon_L747_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H180 zenon_H81 zenon_H11f zenon_H38 zenon_H149 zenon_H14b zenon_H22 zenon_H75 zenon_H84 zenon_H162 zenon_H11c zenon_H156 zenon_Ha5 zenon_H9e zenon_Hdd zenon_H1f3 zenon_H14e zenon_H19e zenon_H31 zenon_H109.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.32 apply (zenon_L297_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.32 apply (zenon_L253_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.32 apply (zenon_L746_); trivial.
% 11.15/11.32 apply (zenon_L75_); trivial.
% 11.15/11.32 (* end of lemma zenon_L747_ *)
% 11.15/11.32 assert (zenon_L748_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H15e zenon_H109 zenon_H31 zenon_H19e zenon_H14e zenon_H1f3 zenon_Hdd zenon_H9e zenon_Ha5 zenon_H11c zenon_H162 zenon_H84 zenon_H75 zenon_H22 zenon_H14b zenon_H149 zenon_H38 zenon_H11f zenon_H81 zenon_H180 zenon_H2d zenon_H163 zenon_Hc3 zenon_H19c zenon_H15d.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.15/11.32 apply (zenon_L747_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.15/11.32 apply (zenon_L213_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.15/11.32 apply (zenon_L167_); trivial.
% 11.15/11.32 exact (zenon_H15d zenon_H6e).
% 11.15/11.32 (* end of lemma zenon_L748_ *)
% 11.15/11.32 assert (zenon_L749_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e3) (e3)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e3) (e1)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> False).
% 11.15/11.32 do 0 intro. intros zenon_Hbe zenon_H175 zenon_H3d zenon_H15d zenon_H2d zenon_H180 zenon_H81 zenon_H11f zenon_H38 zenon_H149 zenon_H14b zenon_H22 zenon_H75 zenon_H84 zenon_H162 zenon_Ha5 zenon_H9e zenon_Hdd zenon_H1f3 zenon_H14e zenon_H19e zenon_H31 zenon_H109 zenon_H15e zenon_H67 zenon_H20f zenon_He5 zenon_H1f0 zenon_H19c zenon_He9 zenon_H163 zenon_H11c.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 11.15/11.32 apply (zenon_L284_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 11.15/11.32 apply (zenon_L748_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 11.15/11.32 exact (zenon_H67 zenon_H66).
% 11.15/11.32 apply (zenon_L353_); trivial.
% 11.15/11.32 (* end of lemma zenon_L749_ *)
% 11.15/11.32 assert (zenon_L750_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.15/11.32 do 0 intro. intros zenon_Hd9 zenon_H31 zenon_H1a9 zenon_H1fc zenon_H1fd zenon_Ha5 zenon_H13a zenon_He9 zenon_H1f3 zenon_H13b zenon_H11f zenon_H1f7 zenon_Ha1 zenon_H162 zenon_H40 zenon_H1f9 zenon_H145 zenon_Hbe zenon_H10e zenon_H67 zenon_H1b9 zenon_H41 zenon_H175 zenon_H109 zenon_Ha9 zenon_H170 zenon_H140 zenon_H1d zenon_H117 zenon_H2d zenon_Hd6 zenon_H138 zenon_H104 zenon_H1a6 zenon_H1f4 zenon_H19c zenon_Hf5 zenon_H84 zenon_Hdc zenon_H14e zenon_H19e zenon_H88 zenon_Hc5 zenon_H200 zenon_H38 zenon_H123 zenon_H150 zenon_H81.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.32 apply (zenon_L58_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.32 apply (zenon_L745_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.32 apply (zenon_L350_); trivial.
% 11.15/11.32 apply (zenon_L116_); trivial.
% 11.15/11.32 (* end of lemma zenon_L750_ *)
% 11.15/11.32 assert (zenon_L751_ : ((op (e1) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H10d zenon_H166 zenon_H81 zenon_H123 zenon_H38 zenon_H200 zenon_Hc5 zenon_H88 zenon_H19e zenon_H14e zenon_Hdc zenon_H84 zenon_H19c zenon_H1f4 zenon_H1a6 zenon_H104 zenon_H138 zenon_Hd6 zenon_H2d zenon_H117 zenon_H1d zenon_H140 zenon_H170 zenon_H175 zenon_H41 zenon_H1b9 zenon_H67 zenon_H10e zenon_Hbe zenon_H145 zenon_H1f9 zenon_H40 zenon_H162 zenon_Ha1 zenon_H1f7 zenon_H11f zenon_H13b zenon_H1f3 zenon_He9 zenon_H13a zenon_Ha5 zenon_H1fd zenon_H1fc zenon_H1a9 zenon_Hd9 zenon_H109 zenon_Ha9 zenon_Hf5 zenon_H31 zenon_H69.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.15/11.32 apply (zenon_L81_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.15/11.32 apply (zenon_L273_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.15/11.32 exact (zenon_H1f3 zenon_H130).
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.32 apply (zenon_L750_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.32 apply (zenon_L275_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.32 apply (zenon_L65_); trivial.
% 11.15/11.32 apply (zenon_L21_); trivial.
% 11.15/11.32 (* end of lemma zenon_L751_ *)
% 11.15/11.32 assert (zenon_L752_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H19e zenon_H14e zenon_H1f3 zenon_H109 zenon_Ha9 zenon_H1a6 zenon_H10c.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.32 exact (zenon_H14e zenon_H103).
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.32 exact (zenon_H1f3 zenon_H130).
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.32 apply (zenon_L139_); trivial.
% 11.15/11.32 apply (zenon_L231_); trivial.
% 11.15/11.32 (* end of lemma zenon_L752_ *)
% 11.15/11.32 assert (zenon_L753_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H1da zenon_H2a zenon_H81 zenon_Hd9 zenon_Hc5 zenon_H14b zenon_Hd6 zenon_He5 zenon_H40 zenon_H1dd zenon_H117 zenon_H1d zenon_H38 zenon_H149 zenon_Hd3 zenon_H15d zenon_H84 zenon_H42 zenon_H13a zenon_H175 zenon_H88 zenon_He9 zenon_Ha5 zenon_H166 zenon_H2d zenon_Hf5 zenon_H31 zenon_H69 zenon_H15e zenon_H19e zenon_H14e zenon_H1f3 zenon_H109 zenon_Ha9 zenon_H1a6.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.32 exact (zenon_H2a zenon_H1e).
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.32 apply (zenon_L56_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.32 apply (zenon_L291_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.32 apply (zenon_L28_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.32 apply (zenon_L284_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.32 apply (zenon_L350_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.32 apply (zenon_L56_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.32 exact (zenon_H40 zenon_H3f).
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.32 apply (zenon_L280_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.32 apply (zenon_L281_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.32 apply (zenon_L360_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.32 apply (zenon_L333_); trivial.
% 11.15/11.32 apply (zenon_L752_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.32 apply (zenon_L71_); trivial.
% 11.15/11.32 apply (zenon_L73_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.32 apply (zenon_L56_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.32 exact (zenon_H40 zenon_H3f).
% 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.32 apply (zenon_L280_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.32 apply (zenon_L281_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.32 apply (zenon_L300_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.32 apply (zenon_L333_); trivial.
% 11.15/11.32 apply (zenon_L752_); trivial.
% 11.15/11.32 (* end of lemma zenon_L753_ *)
% 11.15/11.32 assert (zenon_L754_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 11.15/11.32 do 0 intro. intros zenon_H117 zenon_H1d zenon_H15d zenon_H19c zenon_Hc3 zenon_H2d zenon_H180 zenon_H81 zenon_H11f zenon_H38 zenon_H149 zenon_H14b zenon_H22 zenon_H75 zenon_H84 zenon_H162 zenon_Ha5 zenon_H9e zenon_Hdd zenon_H31 zenon_H15e zenon_H163 zenon_He9 zenon_H88 zenon_H175 zenon_H13a zenon_H19e zenon_H14e zenon_H1f3 zenon_H109 zenon_Ha9 zenon_H1a6.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.32 apply (zenon_L281_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.32 apply (zenon_L748_); trivial.
% 11.15/11.32 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.32 apply (zenon_L364_); trivial.
% 11.15/11.32 apply (zenon_L752_); trivial.
% 11.15/11.32 (* end of lemma zenon_L754_ *)
% 11.15/11.32 assert (zenon_L755_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H219 zenon_H19e zenon_H14e zenon_H19c zenon_H1f4 zenon_H1a6 zenon_Hd6 zenon_H170 zenon_H41 zenon_H67 zenon_Hbe zenon_H145 zenon_H1f7 zenon_H13b zenon_H12a zenon_H1ab zenon_H12d zenon_H1d4 zenon_H150 zenon_H14b zenon_H1d zenon_H104 zenon_Hc5 zenon_H20c zenon_H175 zenon_H88 zenon_Hd9 zenon_H38 zenon_H81 zenon_H149 zenon_H1a9 zenon_H1fc zenon_H1fd zenon_H140 zenon_Ha9 zenon_H109 zenon_H10e zenon_Ha5 zenon_H1b9 zenon_H1f3 zenon_H121 zenon_H13a zenon_Hd3 zenon_H22 zenon_Ha1 zenon_H1f9 zenon_He9 zenon_H40 zenon_H162 zenon_H117 zenon_H138 zenon_H15d zenon_H84 zenon_H166 zenon_Hf5 zenon_H69 zenon_H15e zenon_H200 zenon_H2a zenon_H1da zenon_H31 zenon_H2d.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.33 exact (zenon_H2a zenon_H1e).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.33 exact (zenon_H2a zenon_H1e).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.33 apply (zenon_L291_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.33 apply (zenon_L296_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.33 apply (zenon_L58_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.33 apply (zenon_L9_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.33 apply (zenon_L127_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.33 apply (zenon_L330_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.33 exact (zenon_H1fd zenon_H23).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.33 apply (zenon_L59_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.33 apply (zenon_L281_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.33 apply (zenon_L341_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.15/11.33 apply (zenon_L156_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.15/11.33 apply (zenon_L273_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.15/11.33 exact (zenon_H1f3 zenon_H130).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ].
% 11.15/11.33 apply (zenon_L350_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ].
% 11.15/11.33 apply (zenon_L89_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ].
% 11.15/11.33 exact (zenon_H67 zenon_H66).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.33 exact (zenon_H14e zenon_H103).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.33 exact (zenon_H1f3 zenon_H130).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.33 apply (zenon_L139_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ].
% 11.15/11.33 apply (zenon_L537_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ].
% 11.15/11.33 apply (zenon_L190_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ].
% 11.15/11.33 apply (zenon_L231_); trivial.
% 11.15/11.33 apply (zenon_L339_); trivial.
% 11.15/11.33 apply (zenon_L346_); trivial.
% 11.15/11.33 apply (zenon_L134_); trivial.
% 11.15/11.33 apply (zenon_L328_); trivial.
% 11.15/11.33 apply (zenon_L116_); trivial.
% 11.15/11.33 apply (zenon_L73_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.33 apply (zenon_L349_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.33 apply (zenon_L296_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.33 apply (zenon_L750_); trivial.
% 11.15/11.33 apply (zenon_L73_); trivial.
% 11.15/11.33 apply (zenon_L169_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.33 apply (zenon_L366_); trivial.
% 11.15/11.33 apply (zenon_L301_); trivial.
% 11.15/11.33 (* end of lemma zenon_L755_ *)
% 11.15/11.33 assert (zenon_L756_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H117 zenon_H1d zenon_H38 zenon_H123 zenon_Ha9 zenon_H149 zenon_Hc4 zenon_Hc5 zenon_Hd3 zenon_H109 zenon_H163 zenon_H1f3 zenon_He9 zenon_H88 zenon_H175 zenon_H13a zenon_H6f zenon_Ha5.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.33 apply (zenon_L281_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.33 apply (zenon_L360_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.33 apply (zenon_L364_); trivial.
% 11.15/11.33 apply (zenon_L78_); trivial.
% 11.15/11.33 (* end of lemma zenon_L756_ *)
% 11.15/11.33 assert (zenon_L757_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> False).
% 11.15/11.33 do 0 intro. intros zenon_Hd6 zenon_H104 zenon_H40 zenon_H1a6 zenon_H14e zenon_H19e zenon_H15e zenon_H31 zenon_Hdd zenon_H9e zenon_H162 zenon_H84 zenon_H75 zenon_H22 zenon_H14b zenon_H11f zenon_H81 zenon_H180 zenon_H2d zenon_H19c zenon_H15d zenon_H117 zenon_H1d zenon_H38 zenon_H123 zenon_Ha9 zenon_H149 zenon_Hc4 zenon_Hc5 zenon_Hd3 zenon_H109 zenon_H163 zenon_H1f3 zenon_He9 zenon_H88 zenon_H175 zenon_H13a zenon_Ha5.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.33 apply (zenon_L347_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.33 exact (zenon_H40 zenon_H3f).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.33 apply (zenon_L754_); trivial.
% 11.15/11.33 apply (zenon_L756_); trivial.
% 11.15/11.33 (* end of lemma zenon_L757_ *)
% 11.15/11.33 assert (zenon_L758_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H219 zenon_H169 zenon_H20c zenon_H150 zenon_H200 zenon_Hc5 zenon_H117 zenon_H1d zenon_H109 zenon_H140 zenon_H1ca zenon_H158 zenon_He9 zenon_Ha5 zenon_H13a zenon_H19e zenon_H14e zenon_H1f3 zenon_H84 zenon_Hf5 zenon_H19c zenon_Ha9 zenon_H1f4 zenon_H1a6 zenon_H70 zenon_H2d zenon_H40 zenon_H104 zenon_Hd6 zenon_H1a9 zenon_H41 zenon_Hd9 zenon_H1d4 zenon_H12d zenon_H67 zenon_H75 zenon_H88 zenon_H121 zenon_H2a zenon_H1da zenon_H81 zenon_H31 zenon_H38 zenon_H132 zenon_H133 zenon_H149 zenon_H175 zenon_H14b zenon_H6e zenon_H69.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.33 exact (zenon_H2a zenon_H1e).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.33 exact (zenon_H2a zenon_H1e).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.33 apply (zenon_L378_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.33 apply (zenon_L349_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.33 apply (zenon_L91_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.33 apply (zenon_L58_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.33 apply (zenon_L127_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.33 apply (zenon_L9_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.33 exact (zenon_H40 zenon_H3f).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.33 apply (zenon_L281_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.33 apply (zenon_L149_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.33 apply (zenon_L371_); trivial.
% 11.15/11.33 apply (zenon_L742_); trivial.
% 11.15/11.33 apply (zenon_L22_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.33 apply (zenon_L374_); trivial.
% 11.15/11.33 apply (zenon_L328_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.33 apply (zenon_L350_); trivial.
% 11.15/11.33 apply (zenon_L116_); trivial.
% 11.15/11.33 apply (zenon_L73_); trivial.
% 11.15/11.33 apply (zenon_L376_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.33 apply (zenon_L304_); trivial.
% 11.15/11.33 apply (zenon_L237_); trivial.
% 11.15/11.33 (* end of lemma zenon_L758_ *)
% 11.15/11.33 assert (zenon_L759_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H13b zenon_H81 zenon_H23 zenon_H1cc zenon_H19f zenon_H10d zenon_Hcc zenon_H149 zenon_H14e zenon_H19e zenon_H138 zenon_Hc4.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.15/11.33 apply (zenon_L292_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.15/11.33 exact (zenon_H1cc zenon_Hca).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.33 exact (zenon_H14e zenon_H103).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.33 apply (zenon_L389_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.33 apply (zenon_L140_); trivial.
% 11.15/11.33 exact (zenon_H19f zenon_H114).
% 11.15/11.33 apply (zenon_L426_); trivial.
% 11.15/11.33 (* end of lemma zenon_L759_ *)
% 11.15/11.33 assert (zenon_L760_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e2)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H20f zenon_He5 zenon_H1f0 zenon_H2d zenon_H19c zenon_H1b9 zenon_H41 zenon_H175 zenon_He9 zenon_Hdc zenon_H84 zenon_Hf5 zenon_H1f4 zenon_H1f9 zenon_H22 zenon_H162 zenon_H1ca zenon_H121 zenon_H186 zenon_Ha5 zenon_H119 zenon_H15e zenon_H138 zenon_H19e zenon_H14e zenon_H149 zenon_Hcc zenon_H19f zenon_H1cc zenon_H23 zenon_H81 zenon_H13b zenon_H158 zenon_H9c zenon_H85 zenon_H68 zenon_H169 zenon_H15a zenon_H123 zenon_Ha9.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_Hea | zenon_intro zenon_H210 ].
% 11.15/11.33 apply (zenon_L352_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H211 ].
% 11.15/11.33 apply (zenon_L439_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H10d | zenon_intro zenon_Hcb ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ].
% 11.15/11.33 apply (zenon_L404_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ].
% 11.15/11.33 apply (zenon_L425_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ].
% 11.15/11.33 apply (zenon_L252_); trivial.
% 11.15/11.33 apply (zenon_L759_); trivial.
% 11.15/11.33 apply (zenon_L359_); trivial.
% 11.15/11.33 (* end of lemma zenon_L760_ *)
% 11.15/11.33 assert (zenon_L761_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H9e zenon_H155 zenon_H133 zenon_Ha9 zenon_H123 zenon_H15a zenon_H169 zenon_H85 zenon_H158 zenon_H13b zenon_H81 zenon_H23 zenon_H1cc zenon_H19f zenon_Hcc zenon_H149 zenon_H14e zenon_H19e zenon_H138 zenon_H15e zenon_H119 zenon_Ha5 zenon_H186 zenon_H121 zenon_H1ca zenon_H162 zenon_H22 zenon_H1f9 zenon_H1f4 zenon_Hf5 zenon_H84 zenon_Hdc zenon_He9 zenon_H175 zenon_H41 zenon_H1b9 zenon_H19c zenon_H2d zenon_H1f0 zenon_He5 zenon_H20f zenon_H109 zenon_H68.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.15/11.33 apply (zenon_L414_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.15/11.33 apply (zenon_L427_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.15/11.33 apply (zenon_L760_); trivial.
% 11.15/11.33 apply (zenon_L129_); trivial.
% 11.15/11.33 (* end of lemma zenon_L761_ *)
% 11.15/11.33 assert (zenon_L762_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H13b zenon_H149 zenon_H14e zenon_H19e zenon_Hbe zenon_H3d zenon_H19c zenon_H1b9 zenon_H41 zenon_H175 zenon_H1cc zenon_He9 zenon_H162 zenon_H22 zenon_H23 zenon_H1f9 zenon_H109 zenon_H140 zenon_Hdc zenon_H15e zenon_H123 zenon_Hec zenon_H166 zenon_H16b zenon_H19f zenon_H78 zenon_H69 zenon_H186 zenon_H70 zenon_H1c5 zenon_Ha5 zenon_H119 zenon_H81 zenon_Ha9 zenon_Hf5 zenon_H15a zenon_H169 zenon_H158 zenon_H95 zenon_H138.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.15/11.33 apply (zenon_L292_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.15/11.33 exact (zenon_H1cc zenon_Hca).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.33 exact (zenon_H14e zenon_H103).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.33 apply (zenon_L389_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.33 apply (zenon_L139_); trivial.
% 11.15/11.33 exact (zenon_H19f zenon_H114).
% 11.15/11.33 apply (zenon_L436_); trivial.
% 11.15/11.33 (* end of lemma zenon_L762_ *)
% 11.15/11.33 assert (zenon_L763_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H19e zenon_H14e zenon_H1f3 zenon_H9b zenon_Hdd zenon_H1ae zenon_Hba zenon_H6f zenon_H1a9 zenon_Hb9 zenon_H78 zenon_H165 zenon_H16b zenon_H141 zenon_H169 zenon_H8d zenon_H69.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.33 exact (zenon_H14e zenon_H103).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.33 exact (zenon_H1f3 zenon_H130).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.33 apply (zenon_L145_); trivial.
% 11.15/11.33 apply (zenon_L589_); trivial.
% 11.15/11.33 (* end of lemma zenon_L763_ *)
% 11.15/11.33 assert (zenon_L764_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H9e zenon_H69 zenon_H169 zenon_H141 zenon_H16b zenon_H165 zenon_H78 zenon_Hb9 zenon_H1a9 zenon_H6f zenon_Hba zenon_H1ae zenon_Hdd zenon_H9b zenon_H1f3 zenon_H14e zenon_H19e zenon_H138 zenon_H14f zenon_H158 zenon_H155 zenon_H1e zenon_Hf0 zenon_H15a zenon_H114 zenon_H75.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.15/11.33 apply (zenon_L763_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.15/11.33 apply (zenon_L605_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.15/11.33 apply (zenon_L606_); trivial.
% 11.15/11.33 apply (zenon_L586_); trivial.
% 11.15/11.33 (* end of lemma zenon_L764_ *)
% 11.15/11.33 assert (zenon_L765_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H19e zenon_H14e zenon_H1f3 zenon_Ha5 zenon_H66 zenon_Hb9 zenon_H108.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.33 exact (zenon_H14e zenon_H103).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.33 exact (zenon_H1f3 zenon_H130).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.33 apply (zenon_L147_); trivial.
% 11.15/11.33 apply (zenon_L227_); trivial.
% 11.15/11.33 (* end of lemma zenon_L765_ *)
% 11.15/11.33 assert (zenon_L766_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H19e zenon_H14e zenon_H1f3 zenon_H1b9 zenon_H70 zenon_H6f zenon_H9e zenon_H109 zenon_H84 zenon_H75 zenon_H11c zenon_He9 zenon_Ha5 zenon_H15e zenon_H175 zenon_Hdc zenon_H2d zenon_H66 zenon_Hf5 zenon_H15a zenon_H163 zenon_H138 zenon_H169 zenon_H158 zenon_H14f.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.33 exact (zenon_H14e zenon_H103).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.33 exact (zenon_H1f3 zenon_H130).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.33 apply (zenon_L147_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ].
% 11.15/11.33 apply (zenon_L593_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ].
% 11.15/11.33 apply (zenon_L273_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ].
% 11.15/11.33 apply (zenon_L147_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.15/11.33 apply (zenon_L294_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.15/11.33 apply (zenon_L213_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.15/11.33 apply (zenon_L66_); trivial.
% 11.15/11.33 apply (zenon_L610_); trivial.
% 11.15/11.33 (* end of lemma zenon_L766_ *)
% 11.15/11.33 assert (zenon_L767_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H19e zenon_H14e zenon_H1f3 zenon_Hdd zenon_H15e zenon_H75 zenon_H84 zenon_H9b zenon_H109 zenon_Ha5 zenon_H9e zenon_H2d zenon_H163 zenon_H66 zenon_Hf5 zenon_H6f zenon_H70.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.33 exact (zenon_H14e zenon_H103).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.33 exact (zenon_H1f3 zenon_H130).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.33 apply (zenon_L145_); trivial.
% 11.15/11.33 apply (zenon_L593_); trivial.
% 11.15/11.33 (* end of lemma zenon_L767_ *)
% 11.15/11.33 assert (zenon_L768_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.33 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_H11c zenon_Hcc zenon_H19e zenon_H14e zenon_H1f3 zenon_Hdd zenon_H15e zenon_H75 zenon_H84 zenon_H9b zenon_H109 zenon_Ha5 zenon_H9e zenon_H2d zenon_H163 zenon_H66 zenon_Hf5 zenon_H70.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.33 exact (zenon_He6 zenon_H1f).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.33 apply (zenon_L272_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.33 apply (zenon_L207_); trivial.
% 11.15/11.33 apply (zenon_L767_); trivial.
% 11.15/11.33 (* end of lemma zenon_L768_ *)
% 11.15/11.33 assert (zenon_L769_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e2)) = (e3)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H1fc zenon_H31 zenon_H12c zenon_H56 zenon_Hdc zenon_Hd6 zenon_He6 zenon_H11c zenon_Hcc zenon_H19e zenon_H14e zenon_H1f3 zenon_Hdd zenon_H15e zenon_H75 zenon_H84 zenon_H9b zenon_H109 zenon_Ha5 zenon_H9e zenon_H2d zenon_H66 zenon_Hf5 zenon_H70.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.33 apply (zenon_L88_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.33 exact (zenon_H56 zenon_H24).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.33 apply (zenon_L599_); trivial.
% 11.15/11.33 apply (zenon_L768_); trivial.
% 11.15/11.33 (* end of lemma zenon_L769_ *)
% 11.15/11.33 assert (zenon_L770_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H1da zenon_H88 zenon_He6 zenon_H66 zenon_Hec zenon_H180 zenon_H81 zenon_H11f zenon_H38 zenon_H149 zenon_H14b zenon_H22 zenon_H75 zenon_H84 zenon_H162 zenon_H11c zenon_Ha5 zenon_H9e zenon_Hdd zenon_H1f3 zenon_H14e zenon_H19e zenon_H31 zenon_H109.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.33 apply (zenon_L465_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.33 exact (zenon_He6 zenon_H1f).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.33 apply (zenon_L398_); trivial.
% 11.15/11.33 apply (zenon_L747_); trivial.
% 11.15/11.33 (* end of lemma zenon_L770_ *)
% 11.15/11.33 assert (zenon_L771_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H219 zenon_H15a zenon_H155 zenon_H158 zenon_H14f zenon_H138 zenon_Haa zenon_H24d zenon_Hfd zenon_H70 zenon_Hf5 zenon_H15e zenon_Hcc zenon_Hd6 zenon_H56 zenon_H12c zenon_H1fc zenon_H169 zenon_He9 zenon_H1b9 zenon_H109 zenon_H19e zenon_H14e zenon_H1f3 zenon_H9e zenon_Ha5 zenon_H11c zenon_H162 zenon_H84 zenon_H75 zenon_H22 zenon_H14b zenon_H149 zenon_H38 zenon_H81 zenon_H180 zenon_Hec zenon_He6 zenon_H88 zenon_H1da zenon_H66 zenon_Hdd zenon_H31 zenon_H2d.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.33 apply (zenon_L8_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ].
% 11.15/11.33 apply (zenon_L627_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ].
% 11.15/11.33 apply (zenon_L336_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ].
% 11.15/11.33 exact (zenon_Haa zenon_Ha9).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.33 exact (zenon_H14e zenon_H103).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.33 exact (zenon_H1f3 zenon_H130).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.33 apply (zenon_L147_); trivial.
% 11.15/11.33 apply (zenon_L628_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.33 apply (zenon_L88_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.33 exact (zenon_H56 zenon_H24).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.33 apply (zenon_L599_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.33 exact (zenon_He6 zenon_H1f).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.33 apply (zenon_L272_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.33 apply (zenon_L207_); trivial.
% 11.15/11.33 apply (zenon_L766_); trivial.
% 11.15/11.33 apply (zenon_L73_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.33 apply (zenon_L253_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.33 apply (zenon_L8_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ].
% 11.15/11.33 apply (zenon_L627_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ].
% 11.15/11.33 apply (zenon_L336_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ].
% 11.15/11.33 exact (zenon_Haa zenon_Ha9).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.33 exact (zenon_H14e zenon_H103).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.33 exact (zenon_H1f3 zenon_H130).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.33 apply (zenon_L145_); trivial.
% 11.15/11.33 apply (zenon_L628_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.33 apply (zenon_L769_); trivial.
% 11.15/11.33 apply (zenon_L73_); trivial.
% 11.15/11.33 apply (zenon_L75_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.33 apply (zenon_L770_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.33 apply (zenon_L98_); trivial.
% 11.15/11.33 apply (zenon_L301_); trivial.
% 11.15/11.33 (* end of lemma zenon_L771_ *)
% 11.15/11.33 assert (zenon_L772_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H200 zenon_Hc5 zenon_H56 zenon_H70 zenon_Hf5 zenon_H66 zenon_H78 zenon_H165 zenon_H16b zenon_H169 zenon_H8d zenon_H69 zenon_H101 zenon_Ha5 zenon_H15e zenon_H2d zenon_H11c zenon_He6 zenon_Hd6 zenon_Hbc zenon_H125 zenon_H150 zenon_H23 zenon_H12d zenon_Haa zenon_H1a6.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.33 apply (zenon_L127_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.33 exact (zenon_H56 zenon_H24).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.33 apply (zenon_L618_); trivial.
% 11.15/11.33 apply (zenon_L623_); trivial.
% 11.15/11.33 (* end of lemma zenon_L772_ *)
% 11.15/11.33 assert (zenon_L773_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H1ae zenon_Hdd zenon_H1da zenon_H88 zenon_Hec zenon_H180 zenon_H81 zenon_H38 zenon_H149 zenon_H14b zenon_H22 zenon_H75 zenon_H84 zenon_H162 zenon_H9e zenon_H109 zenon_H1b9 zenon_He9 zenon_H1fc zenon_H12c zenon_Hcc zenon_Hfd zenon_H24d zenon_H138 zenon_H14f zenon_H158 zenon_H155 zenon_H15a zenon_H219 zenon_H1e zenon_H32 zenon_Hb9 zenon_H1f3 zenon_H14e zenon_H19e zenon_H200 zenon_Hc5 zenon_H56 zenon_H70 zenon_Hf5 zenon_H66 zenon_H78 zenon_H165 zenon_H16b zenon_H169 zenon_H8d zenon_H69 zenon_Ha5 zenon_H15e zenon_H2d zenon_H11c zenon_He6 zenon_Hd6 zenon_Hbc zenon_H125 zenon_H150 zenon_H23 zenon_H12d zenon_Haa zenon_H1a6.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ].
% 11.15/11.33 apply (zenon_L771_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ].
% 11.15/11.33 apply (zenon_L158_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ].
% 11.15/11.33 apply (zenon_L765_); trivial.
% 11.15/11.33 apply (zenon_L772_); trivial.
% 11.15/11.33 (* end of lemma zenon_L773_ *)
% 11.15/11.33 assert (zenon_L774_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H1a6 zenon_Haa zenon_H12d zenon_H23 zenon_H150 zenon_H125 zenon_Hbc zenon_Hd6 zenon_He6 zenon_H2d zenon_H15e zenon_Ha5 zenon_H69 zenon_H169 zenon_H16b zenon_H165 zenon_H78 zenon_H66 zenon_Hf5 zenon_H70 zenon_H56 zenon_Hc5 zenon_H200 zenon_H19e zenon_H14e zenon_H1f3 zenon_Hb9 zenon_H32 zenon_H1e zenon_H219 zenon_H15a zenon_H155 zenon_H158 zenon_H14f zenon_H138 zenon_H24d zenon_Hfd zenon_Hcc zenon_H12c zenon_H1fc zenon_He9 zenon_H1b9 zenon_H109 zenon_H9e zenon_H22 zenon_H14b zenon_H149 zenon_H38 zenon_H81 zenon_H180 zenon_Hec zenon_H88 zenon_H1da zenon_Hdd zenon_H1ae zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_H114 zenon_H75.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.15/11.33 apply (zenon_L773_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.15/11.33 apply (zenon_L322_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.15/11.33 apply (zenon_L33_); trivial.
% 11.15/11.33 apply (zenon_L586_); trivial.
% 11.15/11.33 (* end of lemma zenon_L774_ *)
% 11.15/11.33 assert (zenon_L775_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H180 zenon_H14f zenon_H158 zenon_H169 zenon_H138 zenon_H15a zenon_He9 zenon_H1b9 zenon_H22 zenon_H81 zenon_H31 zenon_H200 zenon_H104 zenon_H80 zenon_H70 zenon_Hf5 zenon_H2d zenon_H9e zenon_H109 zenon_H84 zenon_H75 zenon_H15e zenon_Hdd zenon_H11c zenon_He6 zenon_Hd6 zenon_H56 zenon_H12c zenon_H1fc zenon_H1a9 zenon_H1e zenon_H38 zenon_H14b zenon_H19e zenon_H14e zenon_H1f3 zenon_Ha5 zenon_H66 zenon_Hb9.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.33 apply (zenon_L8_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.33 apply (zenon_L597_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.33 apply (zenon_L154_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.33 exact (zenon_H56 zenon_H24).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.33 apply (zenon_L88_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.33 exact (zenon_H56 zenon_H24).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.33 apply (zenon_L599_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.33 exact (zenon_He6 zenon_H1f).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.33 apply (zenon_L272_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.33 apply (zenon_L316_); trivial.
% 11.15/11.33 apply (zenon_L766_); trivial.
% 11.15/11.33 apply (zenon_L328_); trivial.
% 11.15/11.33 apply (zenon_L73_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.33 apply (zenon_L253_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.33 apply (zenon_L8_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.33 apply (zenon_L597_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.33 apply (zenon_L154_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.33 exact (zenon_H56 zenon_H24).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.33 apply (zenon_L88_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.33 exact (zenon_H56 zenon_H24).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.33 apply (zenon_L599_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.33 exact (zenon_He6 zenon_H1f).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.33 apply (zenon_L272_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.33 apply (zenon_L316_); trivial.
% 11.15/11.33 apply (zenon_L767_); trivial.
% 11.15/11.33 apply (zenon_L328_); trivial.
% 11.15/11.33 apply (zenon_L73_); trivial.
% 11.15/11.33 apply (zenon_L765_); trivial.
% 11.15/11.33 (* end of lemma zenon_L775_ *)
% 11.15/11.33 assert (zenon_L776_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H1ae zenon_H66 zenon_Ha5 zenon_H1f3 zenon_H14e zenon_H19e zenon_H14b zenon_H38 zenon_H1e zenon_H1fc zenon_H12c zenon_H56 zenon_Hd6 zenon_He6 zenon_H11c zenon_Hdd zenon_H15e zenon_H75 zenon_H84 zenon_H109 zenon_H9e zenon_H2d zenon_Hf5 zenon_H70 zenon_H80 zenon_H104 zenon_H200 zenon_H81 zenon_H22 zenon_H1b9 zenon_He9 zenon_H15a zenon_H138 zenon_H158 zenon_H14f zenon_H180 zenon_H6f zenon_H1a9 zenon_H114 zenon_Hb9 zenon_H78 zenon_H165 zenon_H16b zenon_H141 zenon_H169 zenon_H8d zenon_H69.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ].
% 11.15/11.33 apply (zenon_L775_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ].
% 11.15/11.33 apply (zenon_L449_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ].
% 11.15/11.33 apply (zenon_L227_); trivial.
% 11.15/11.33 apply (zenon_L588_); trivial.
% 11.15/11.33 (* end of lemma zenon_L776_ *)
% 11.15/11.33 assert (zenon_L777_ : ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H9b zenon_H162 zenon_H69 zenon_H8d zenon_H169 zenon_H16b zenon_H165 zenon_H78 zenon_Hb9 zenon_H114 zenon_H1a9 zenon_H180 zenon_H14f zenon_H158 zenon_H138 zenon_H15a zenon_He9 zenon_H1b9 zenon_H22 zenon_H81 zenon_H200 zenon_H104 zenon_H80 zenon_H2d zenon_H9e zenon_H109 zenon_H84 zenon_H75 zenon_H15e zenon_Hdd zenon_H11c zenon_He6 zenon_Hd6 zenon_H56 zenon_H12c zenon_H1fc zenon_H1e zenon_H38 zenon_H14b zenon_H19e zenon_H14e zenon_H1f3 zenon_Ha5 zenon_H1ae zenon_H66 zenon_Hf5 zenon_H6f zenon_H70.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.15/11.33 apply (zenon_L587_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.15/11.33 apply (zenon_L776_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.15/11.33 apply (zenon_L66_); trivial.
% 11.15/11.33 apply (zenon_L22_); trivial.
% 11.15/11.33 (* end of lemma zenon_L777_ *)
% 11.15/11.33 assert (zenon_L778_ : (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H70 zenon_H6f zenon_Hf5 zenon_H66 zenon_H1ae zenon_Ha5 zenon_H1f3 zenon_H14e zenon_H19e zenon_H14b zenon_H38 zenon_H1fc zenon_H12c zenon_H56 zenon_Hd6 zenon_He6 zenon_H11c zenon_Hdd zenon_H15e zenon_H84 zenon_H109 zenon_H9e zenon_H2d zenon_H80 zenon_H104 zenon_H200 zenon_H81 zenon_H22 zenon_H1b9 zenon_He9 zenon_H180 zenon_H1a9 zenon_Hb9 zenon_H78 zenon_H165 zenon_H16b zenon_H169 zenon_H69 zenon_H162 zenon_H9b zenon_H138 zenon_H14f zenon_H158 zenon_H155 zenon_H1e zenon_Hf0 zenon_H15a zenon_H75.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.33 exact (zenon_H14e zenon_H103).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.33 exact (zenon_H1f3 zenon_H130).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.33 apply (zenon_L145_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.15/11.33 apply (zenon_L777_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.15/11.33 apply (zenon_L605_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.15/11.33 apply (zenon_L606_); trivial.
% 11.15/11.33 apply (zenon_L586_); trivial.
% 11.15/11.33 (* end of lemma zenon_L778_ *)
% 11.15/11.33 assert (zenon_L779_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H166 zenon_H1da zenon_H88 zenon_Hec zenon_H149 zenon_Hcc zenon_Hfd zenon_H24d zenon_H219 zenon_H32 zenon_Hc5 zenon_Hbc zenon_H125 zenon_H23 zenon_H12d zenon_Haa zenon_H1a6 zenon_H75 zenon_H15a zenon_H1e zenon_H155 zenon_H158 zenon_H14f zenon_H138 zenon_H9b zenon_H162 zenon_H69 zenon_H169 zenon_H16b zenon_H78 zenon_Hb9 zenon_H1a9 zenon_H180 zenon_He9 zenon_H1b9 zenon_H22 zenon_H81 zenon_H200 zenon_H104 zenon_H80 zenon_H2d zenon_H9e zenon_H109 zenon_H84 zenon_H15e zenon_Hdd zenon_H11c zenon_He6 zenon_Hd6 zenon_H56 zenon_H12c zenon_H1fc zenon_H38 zenon_H14b zenon_H19e zenon_H14e zenon_H1f3 zenon_Ha5 zenon_H1ae zenon_H66 zenon_Hf5 zenon_H6f zenon_H70 zenon_H165.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.33 exact (zenon_H14e zenon_H103).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.33 exact (zenon_H1f3 zenon_H130).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.33 apply (zenon_L147_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.33 apply (zenon_L774_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.33 apply (zenon_L593_); trivial.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.33 apply (zenon_L778_); trivial.
% 11.15/11.33 exact (zenon_H165 zenon_H68).
% 11.15/11.33 (* end of lemma zenon_L779_ *)
% 11.15/11.33 assert (zenon_L780_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H19e zenon_H14e zenon_H1f3 zenon_H1b9 zenon_H84 zenon_H109 zenon_H156 zenon_H9e zenon_H11c zenon_He9 zenon_Ha5 zenon_H66 zenon_H78 zenon_H165 zenon_H14f zenon_H158 zenon_H169 zenon_H138 zenon_H163 zenon_H15a zenon_H75 zenon_H69 zenon_H101.
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.33 exact (zenon_H14e zenon_H103).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.33 exact (zenon_H1f3 zenon_H130).
% 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.33 apply (zenon_L147_); trivial.
% 11.15/11.33 apply (zenon_L611_); trivial.
% 11.15/11.33 (* end of lemma zenon_L780_ *)
% 11.15/11.33 assert (zenon_L781_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 11.15/11.33 do 0 intro. intros zenon_H1da zenon_H88 zenon_He6 zenon_Hec zenon_H180 zenon_H69 zenon_H15a zenon_H138 zenon_H169 zenon_H158 zenon_H14f zenon_H165 zenon_H78 zenon_He9 zenon_H109 zenon_H1b9 zenon_H12a zenon_H80 zenon_H56 zenon_H11f zenon_H2d zenon_H1fc zenon_H38 zenon_H149 zenon_H14b zenon_H22 zenon_H75 zenon_H84 zenon_H162 zenon_H11c zenon_H9e zenon_Hdd zenon_H19e zenon_H14e zenon_H1f3 zenon_Ha5 zenon_H66 zenon_Hb9.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.34 apply (zenon_L465_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.34 exact (zenon_He6 zenon_H1f).
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.34 apply (zenon_L398_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.34 apply (zenon_L291_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.34 apply (zenon_L296_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.34 apply (zenon_L294_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.34 apply (zenon_L269_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.34 exact (zenon_H56 zenon_H24).
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.34 apply (zenon_L460_); trivial.
% 11.15/11.34 apply (zenon_L780_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.34 apply (zenon_L253_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.34 apply (zenon_L746_); trivial.
% 11.15/11.34 apply (zenon_L765_); trivial.
% 11.15/11.34 (* end of lemma zenon_L781_ *)
% 11.15/11.34 assert (zenon_L782_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H180 zenon_H1e zenon_H11c zenon_H22 zenon_H109 zenon_He3 zenon_H19e zenon_H14e zenon_H1f3 zenon_Ha5 zenon_H66 zenon_Hb9.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.34 apply (zenon_L151_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.34 apply (zenon_L253_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.34 apply (zenon_L206_); trivial.
% 11.15/11.34 apply (zenon_L765_); trivial.
% 11.15/11.34 (* end of lemma zenon_L782_ *)
% 11.15/11.34 assert (zenon_L783_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H219 zenon_H22 zenon_Hb9 zenon_H1f3 zenon_H14e zenon_H19e zenon_Hdd zenon_H9e zenon_H162 zenon_H84 zenon_H75 zenon_H14b zenon_H149 zenon_H38 zenon_H166 zenon_Hc5 zenon_He5 zenon_H69 zenon_H15a zenon_H138 zenon_H169 zenon_H158 zenon_H14f zenon_H78 zenon_He9 zenon_H109 zenon_H1b9 zenon_H165 zenon_H180 zenon_Hec zenon_H88 zenon_H1da zenon_H2d zenon_He3 zenon_Hd6 zenon_He6 zenon_H11c zenon_Ha5 zenon_Hcc zenon_H66 zenon_H1a9.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.34 apply (zenon_L782_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.34 apply (zenon_L465_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.34 exact (zenon_He6 zenon_H1f).
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.34 apply (zenon_L398_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.34 apply (zenon_L291_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.34 apply (zenon_L296_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.34 apply (zenon_L294_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.34 exact (zenon_H14e zenon_H103).
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.34 exact (zenon_H1f3 zenon_H130).
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.34 apply (zenon_L147_); trivial.
% 11.15/11.34 apply (zenon_L625_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.34 apply (zenon_L81_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.34 apply (zenon_L746_); trivial.
% 11.15/11.34 apply (zenon_L765_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.34 apply (zenon_L467_); trivial.
% 11.15/11.34 apply (zenon_L614_); trivial.
% 11.15/11.34 (* end of lemma zenon_L783_ *)
% 11.15/11.34 assert (zenon_L784_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H219 zenon_He3 zenon_Hb9 zenon_H1f3 zenon_H14e zenon_H19e zenon_H9e zenon_H162 zenon_H84 zenon_H75 zenon_H22 zenon_H14b zenon_H149 zenon_H38 zenon_H1fc zenon_H2d zenon_H56 zenon_H80 zenon_H12a zenon_H1b9 zenon_H109 zenon_He9 zenon_H78 zenon_H165 zenon_H14f zenon_H158 zenon_H169 zenon_H138 zenon_H15a zenon_H69 zenon_H180 zenon_Hec zenon_H88 zenon_H1da zenon_Hdd zenon_Hd6 zenon_He6 zenon_H11c zenon_Ha5 zenon_Hcc zenon_H66 zenon_H1a9.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.34 apply (zenon_L782_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.34 apply (zenon_L781_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.34 apply (zenon_L98_); trivial.
% 11.15/11.34 apply (zenon_L614_); trivial.
% 11.15/11.34 (* end of lemma zenon_L784_ *)
% 11.15/11.34 assert (zenon_L785_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H19e zenon_H14e zenon_H1f3 zenon_Hdd zenon_H9e zenon_H149 zenon_Hc4 zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_H75.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.34 exact (zenon_H14e zenon_H103).
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.34 exact (zenon_H1f3 zenon_H130).
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.34 apply (zenon_L145_); trivial.
% 11.15/11.34 apply (zenon_L634_); trivial.
% 11.15/11.34 (* end of lemma zenon_L785_ *)
% 11.15/11.34 assert (zenon_L786_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H19e zenon_H8d zenon_H125 zenon_H1f3 zenon_H9b zenon_Hdd zenon_H19f.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.34 apply (zenon_L84_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.34 exact (zenon_H1f3 zenon_H130).
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.34 apply (zenon_L145_); trivial.
% 11.15/11.34 exact (zenon_H19f zenon_H114).
% 11.15/11.34 (* end of lemma zenon_L786_ *)
% 11.15/11.34 assert (zenon_L787_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H9e zenon_H19f zenon_Hdd zenon_H1f3 zenon_H125 zenon_H19e zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_Ha5 zenon_H6e.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.15/11.34 apply (zenon_L786_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.15/11.34 apply (zenon_L322_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.15/11.34 apply (zenon_L33_); trivial.
% 11.15/11.34 apply (zenon_L125_); trivial.
% 11.15/11.34 (* end of lemma zenon_L787_ *)
% 11.15/11.34 assert (zenon_L788_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H15e zenon_H1f zenon_Hc5 zenon_H11f zenon_H132 zenon_H66 zenon_Hf5 zenon_H9e zenon_H19f zenon_Hdd zenon_H1f3 zenon_H125 zenon_H19e zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_Ha5.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.15/11.34 apply (zenon_L310_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.15/11.34 apply (zenon_L482_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.15/11.34 apply (zenon_L66_); trivial.
% 11.15/11.34 apply (zenon_L787_); trivial.
% 11.15/11.34 (* end of lemma zenon_L788_ *)
% 11.15/11.34 assert (zenon_L789_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e3)) = (e2))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H19e zenon_H8d zenon_H125 zenon_H1f3 zenon_Ha5 zenon_H66 zenon_H19f.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.34 apply (zenon_L84_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.34 exact (zenon_H1f3 zenon_H130).
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.34 apply (zenon_L147_); trivial.
% 11.15/11.34 exact (zenon_H19f zenon_H114).
% 11.15/11.34 (* end of lemma zenon_L789_ *)
% 11.15/11.34 assert (zenon_L790_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H15e zenon_H199 zenon_Hcc zenon_Hc5 zenon_Hd6 zenon_H2d zenon_H163 zenon_H66 zenon_Hf5 zenon_H9e zenon_H19f zenon_Hdd zenon_H1f3 zenon_H125 zenon_H19e zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_Ha5.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.15/11.34 apply (zenon_L658_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.15/11.34 apply (zenon_L213_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.15/11.34 apply (zenon_L66_); trivial.
% 11.15/11.34 apply (zenon_L787_); trivial.
% 11.15/11.34 (* end of lemma zenon_L790_ *)
% 11.15/11.34 assert (zenon_L791_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H9e zenon_Hdd zenon_H9b zenon_H1f3 zenon_H125 zenon_H19e zenon_H162 zenon_H1ca zenon_H19f zenon_H121 zenon_H11c zenon_Ha5 zenon_H119 zenon_H186 zenon_Hf0.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.15/11.34 apply (zenon_L786_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.15/11.34 apply (zenon_L322_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.15/11.34 apply (zenon_L429_); trivial.
% 11.15/11.34 apply (zenon_L417_); trivial.
% 11.15/11.34 (* end of lemma zenon_L791_ *)
% 11.15/11.34 assert (zenon_L792_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e3)) = (e2))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H19e zenon_H109 zenon_H80 zenon_H1f3 zenon_Ha5 zenon_H66 zenon_H19f.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.34 apply (zenon_L109_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.34 exact (zenon_H1f3 zenon_H130).
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.34 apply (zenon_L147_); trivial.
% 11.15/11.34 exact (zenon_H19f zenon_H114).
% 11.15/11.34 (* end of lemma zenon_L792_ *)
% 11.15/11.34 assert (zenon_L793_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e3)) = (e1))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H16f zenon_H88 zenon_H219 zenon_H1d zenon_H2d zenon_H1da zenon_H15e zenon_H3c zenon_H41 zenon_H198 zenon_H32 zenon_Hf7 zenon_H16b zenon_H155 zenon_H265 zenon_Hf5 zenon_H9e zenon_H19f zenon_Hdd zenon_H1f3 zenon_H125 zenon_H19e zenon_H162 zenon_H84 zenon_H23 zenon_H109 zenon_H1b9 zenon_He9 zenon_H119 zenon_H121 zenon_H1ca zenon_H180 zenon_Hec zenon_Hd6 zenon_Hc5 zenon_H11c zenon_Ha5 zenon_Hcc zenon_H66 zenon_H199.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.34 apply (zenon_L447_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.34 apply (zenon_L666_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.34 apply (zenon_L792_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.34 apply (zenon_L667_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.34 apply (zenon_L269_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.34 apply (zenon_L98_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.34 apply (zenon_L158_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.34 apply (zenon_L659_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.34 apply (zenon_L388_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.15/11.34 apply (zenon_L310_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.15/11.34 apply (zenon_L669_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.15/11.34 apply (zenon_L66_); trivial.
% 11.15/11.34 apply (zenon_L787_); trivial.
% 11.15/11.34 apply (zenon_L406_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.34 apply (zenon_L398_); trivial.
% 11.15/11.34 apply (zenon_L658_); trivial.
% 11.15/11.34 (* end of lemma zenon_L793_ *)
% 11.15/11.34 assert (zenon_L794_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H1b9 zenon_H109 zenon_He3 zenon_H11c zenon_He9 zenon_Ha5 zenon_H15e zenon_Hf7 zenon_H199 zenon_H32 zenon_H1e zenon_H198 zenon_H66 zenon_Hf5 zenon_H170 zenon_H150 zenon_H138 zenon_H16b zenon_H140 zenon_H132 zenon_H89.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ].
% 11.15/11.34 apply (zenon_L206_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ].
% 11.15/11.34 apply (zenon_L273_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ].
% 11.15/11.34 apply (zenon_L147_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.15/11.34 apply (zenon_L175_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.15/11.34 apply (zenon_L178_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.15/11.34 apply (zenon_L66_); trivial.
% 11.15/11.34 apply (zenon_L179_); trivial.
% 11.15/11.34 (* end of lemma zenon_L794_ *)
% 11.15/11.34 assert (zenon_L795_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((e1) = (e2))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H15e zenon_H155 zenon_H16b zenon_Hf7 zenon_H199 zenon_H32 zenon_H1e zenon_H198 zenon_H66 zenon_Hf5 zenon_H119 zenon_H149 zenon_H101 zenon_H11c zenon_H121 zenon_H19f zenon_Ha5.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.15/11.34 apply (zenon_L120_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.15/11.34 apply (zenon_L178_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.15/11.34 apply (zenon_L66_); trivial.
% 11.15/11.34 apply (zenon_L400_); trivial.
% 11.15/11.34 (* end of lemma zenon_L795_ *)
% 11.15/11.34 assert (zenon_L796_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H219 zenon_H32 zenon_H16b zenon_H155 zenon_H170 zenon_H150 zenon_H138 zenon_H140 zenon_H149 zenon_Hf5 zenon_H132 zenon_H198 zenon_H38 zenon_H199 zenon_Hf7 zenon_H169 zenon_H15e zenon_H81 zenon_H3c zenon_H14b zenon_H2d zenon_H180 zenon_H1ca zenon_H19f zenon_H121 zenon_H119 zenon_H66 zenon_He9 zenon_H41 zenon_H1b9 zenon_H11c zenon_H22 zenon_H109 zenon_He3 zenon_Ha5.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.34 exact (zenon_H3c zenon_H37).
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.34 apply (zenon_L794_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.34 apply (zenon_L183_); trivial.
% 11.15/11.34 apply (zenon_L795_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.34 apply (zenon_L670_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.34 apply (zenon_L467_); trivial.
% 11.15/11.34 apply (zenon_L671_); trivial.
% 11.15/11.34 (* end of lemma zenon_L796_ *)
% 11.15/11.34 assert (zenon_L797_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H198 zenon_H2d zenon_H31 zenon_H199 zenon_H66 zenon_Hf7 zenon_H156 zenon_H169.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ].
% 11.15/11.34 apply (zenon_L301_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ].
% 11.15/11.34 exact (zenon_H199 zenon_H6f).
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ].
% 11.15/11.34 apply (zenon_L176_); trivial.
% 11.15/11.34 apply (zenon_L376_); trivial.
% 11.15/11.34 (* end of lemma zenon_L797_ *)
% 11.15/11.34 assert (zenon_L798_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H219 zenon_H38 zenon_H37 zenon_H169 zenon_Hf7 zenon_H199 zenon_H198 zenon_Hec zenon_He5 zenon_H88 zenon_H1da zenon_H66 zenon_Hdd zenon_H31 zenon_H2d.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.34 apply (zenon_L8_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.34 apply (zenon_L465_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.34 apply (zenon_L56_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.34 apply (zenon_L398_); trivial.
% 11.15/11.34 apply (zenon_L797_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.34 apply (zenon_L98_); trivial.
% 11.15/11.34 apply (zenon_L301_); trivial.
% 11.15/11.34 (* end of lemma zenon_L798_ *)
% 11.15/11.34 assert (zenon_L799_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H20c zenon_Hc5 zenon_H150 zenon_Hc3 zenon_H1f0 zenon_H104 zenon_H103 zenon_H1d zenon_H37.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_He5 | zenon_intro zenon_H20d ].
% 11.15/11.34 apply (zenon_L127_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f | zenon_intro zenon_H20e ].
% 11.15/11.34 apply (zenon_L305_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H57 | zenon_intro zenon_H3d ].
% 11.15/11.34 apply (zenon_L74_); trivial.
% 11.15/11.34 apply (zenon_L348_); trivial.
% 11.15/11.34 (* end of lemma zenon_L799_ *)
% 11.15/11.34 assert (zenon_L800_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_Hd6 zenon_H156 zenon_H22 zenon_H11f zenon_H37 zenon_H1d zenon_H103 zenon_H104 zenon_H1f0 zenon_H150 zenon_Hc5 zenon_H20c zenon_H199.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.34 apply (zenon_L310_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.34 apply (zenon_L380_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.34 apply (zenon_L799_); trivial.
% 11.15/11.34 exact (zenon_H199 zenon_H6f).
% 11.15/11.34 (* end of lemma zenon_L800_ *)
% 11.15/11.34 assert (zenon_L801_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H180 zenon_H11c zenon_H19f zenon_Hdd zenon_H1f3 zenon_H125 zenon_H19e zenon_Hd6 zenon_H156 zenon_H22 zenon_H11f zenon_H37 zenon_H1d zenon_H104 zenon_H1f0 zenon_H150 zenon_Hc5 zenon_H20c zenon_H199 zenon_Ha5 zenon_H149 zenon_H172 zenon_H31 zenon_H109.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.34 apply (zenon_L291_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.34 apply (zenon_L253_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.34 apply (zenon_L291_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.34 apply (zenon_L224_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.34 apply (zenon_L380_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.34 apply (zenon_L799_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.34 exact (zenon_H1f3 zenon_H130).
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.34 apply (zenon_L145_); trivial.
% 11.15/11.34 exact (zenon_H19f zenon_H114).
% 11.15/11.34 exact (zenon_H199 zenon_H6f).
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.34 apply (zenon_L800_); trivial.
% 11.15/11.34 apply (zenon_L786_); trivial.
% 11.15/11.34 apply (zenon_L75_); trivial.
% 11.15/11.34 (* end of lemma zenon_L801_ *)
% 11.15/11.34 assert (zenon_L802_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H20f zenon_He5 zenon_H1f0 zenon_H10e zenon_H6f zenon_H9b zenon_H1dd zenon_H65 zenon_Hcc.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_Hea | zenon_intro zenon_H210 ].
% 11.15/11.34 apply (zenon_L352_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H211 ].
% 11.15/11.34 apply (zenon_L317_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H10d | zenon_intro zenon_Hcb ].
% 11.15/11.34 apply (zenon_L512_); trivial.
% 11.15/11.34 apply (zenon_L45_); trivial.
% 11.15/11.34 (* end of lemma zenon_L802_ *)
% 11.15/11.34 assert (zenon_L803_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H1ab zenon_H22e zenon_Hcc zenon_H65 zenon_H1dd zenon_H9b zenon_H10e zenon_H1f0 zenon_He5 zenon_H20f zenon_H70 zenon_H7c zenon_H1a9 zenon_H101.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ].
% 11.15/11.34 apply (zenon_L392_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ].
% 11.15/11.34 apply (zenon_L802_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ].
% 11.15/11.34 apply (zenon_L191_); trivial.
% 11.15/11.34 apply (zenon_L192_); trivial.
% 11.15/11.34 (* end of lemma zenon_L803_ *)
% 11.15/11.34 assert (zenon_L804_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H1ae zenon_H23 zenon_H12c zenon_H1e zenon_H32 zenon_H69 zenon_H1ab zenon_H22e zenon_Hcc zenon_H65 zenon_H1dd zenon_H9b zenon_H10e zenon_H1f0 zenon_He5 zenon_H20f zenon_H70 zenon_H7c zenon_H1a9.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ].
% 11.15/11.34 apply (zenon_L88_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ].
% 11.15/11.34 apply (zenon_L158_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ].
% 11.15/11.34 apply (zenon_L186_); trivial.
% 11.15/11.34 apply (zenon_L803_); trivial.
% 11.15/11.34 (* end of lemma zenon_L804_ *)
% 11.15/11.34 assert (zenon_L805_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_He1 zenon_H241 zenon_H41 zenon_H1a9 zenon_H7c zenon_H70 zenon_H20f zenon_He5 zenon_H1f0 zenon_H10e zenon_H1dd zenon_Hcc zenon_H22e zenon_H1ab zenon_H69 zenon_H32 zenon_H1e zenon_H12c zenon_H23 zenon_H1ae zenon_H65 zenon_Hdd.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ].
% 11.15/11.34 apply (zenon_L459_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ].
% 11.15/11.34 apply (zenon_L11_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ].
% 11.15/11.34 apply (zenon_L804_); trivial.
% 11.15/11.34 apply (zenon_L51_); trivial.
% 11.15/11.34 (* end of lemma zenon_L805_ *)
% 11.15/11.34 assert (zenon_L806_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_Hd9 zenon_H149 zenon_H175 zenon_H42 zenon_Hec zenon_H65 zenon_H14f.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.34 apply (zenon_L291_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.34 apply (zenon_L284_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.34 apply (zenon_L246_); trivial.
% 11.15/11.34 exact (zenon_H14f zenon_Hc4).
% 11.15/11.34 (* end of lemma zenon_L806_ *)
% 11.15/11.34 assert (zenon_L807_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H19e zenon_H14e zenon_H46 zenon_H12d zenon_H65 zenon_H149 zenon_H7c zenon_H75.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.34 exact (zenon_H14e zenon_H103).
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.34 apply (zenon_L90_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.34 apply (zenon_L137_); trivial.
% 11.15/11.34 apply (zenon_L586_); trivial.
% 11.15/11.34 (* end of lemma zenon_L807_ *)
% 11.15/11.34 assert (zenon_L808_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H180 zenon_H14f zenon_Hec zenon_Hd9 zenon_H75 zenon_H149 zenon_H65 zenon_H12d zenon_H14e zenon_H19e zenon_Ha5 zenon_H42 zenon_H7c zenon_H69.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.34 apply (zenon_L806_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.34 apply (zenon_L807_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.34 apply (zenon_L36_); trivial.
% 11.15/11.34 apply (zenon_L186_); trivial.
% 11.15/11.34 (* end of lemma zenon_L808_ *)
% 11.15/11.34 assert (zenon_L809_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H180 zenon_H149 zenon_H109 zenon_H169 zenon_H7c zenon_H14e zenon_H14b zenon_H81 zenon_H23 zenon_Hdd zenon_H65 zenon_H38 zenon_H41 zenon_H172 zenon_H186 zenon_Ha5.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.34 apply (zenon_L291_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.34 apply (zenon_L292_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.34 apply (zenon_L51_); trivial.
% 11.15/11.34 apply (zenon_L295_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.34 apply (zenon_L388_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.34 apply (zenon_L318_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.34 apply (zenon_L457_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.34 apply (zenon_L292_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.34 apply (zenon_L51_); trivial.
% 11.15/11.34 apply (zenon_L295_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.34 exact (zenon_H14e zenon_H103).
% 11.15/11.34 apply (zenon_L133_); trivial.
% 11.15/11.34 apply (zenon_L406_); trivial.
% 11.15/11.34 (* end of lemma zenon_L809_ *)
% 11.15/11.34 assert (zenon_L810_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H127 zenon_H125 zenon_H150 zenon_H1e zenon_H122 zenon_H14e zenon_H65 zenon_Hec.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ].
% 11.15/11.34 apply (zenon_L113_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ].
% 11.15/11.34 apply (zenon_L83_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ].
% 11.15/11.34 exact (zenon_H14e zenon_H103).
% 11.15/11.34 apply (zenon_L246_); trivial.
% 11.15/11.34 (* end of lemma zenon_L810_ *)
% 11.15/11.34 assert (zenon_L811_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H15a zenon_H163 zenon_H138 zenon_H85 zenon_H158 zenon_H169 zenon_H7c zenon_H14f.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ].
% 11.15/11.34 apply (zenon_L134_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ].
% 11.15/11.34 apply (zenon_L425_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ].
% 11.15/11.34 apply (zenon_L133_); trivial.
% 11.15/11.34 exact (zenon_H14f zenon_Hc4).
% 11.15/11.34 (* end of lemma zenon_L811_ *)
% 11.15/11.34 assert (zenon_L812_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H235 zenon_H1a7 zenon_H1a6 zenon_H123 zenon_H113 zenon_H75 zenon_H7c zenon_Hf7 zenon_H65.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_Hba | zenon_intro zenon_H236 ].
% 11.15/11.34 apply (zenon_L189_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H18e | zenon_intro zenon_H237 ].
% 11.15/11.34 apply (zenon_L170_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H114 | zenon_intro zenon_H74 ].
% 11.15/11.34 apply (zenon_L586_); trivial.
% 11.15/11.34 apply (zenon_L67_); trivial.
% 11.15/11.34 (* end of lemma zenon_L812_ *)
% 11.15/11.34 assert (zenon_L813_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H127 zenon_H125 zenon_H150 zenon_H18e zenon_H113 zenon_H14e zenon_H65 zenon_Hec.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ].
% 11.15/11.34 apply (zenon_L113_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ].
% 11.15/11.34 apply (zenon_L170_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ].
% 11.15/11.34 exact (zenon_H14e zenon_H103).
% 11.15/11.34 apply (zenon_L246_); trivial.
% 11.15/11.34 (* end of lemma zenon_L813_ *)
% 11.15/11.34 assert (zenon_L814_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H15a zenon_Hec zenon_H65 zenon_H14e zenon_H113 zenon_H18e zenon_H125 zenon_H127 zenon_H1e zenon_H155 zenon_H169 zenon_H7c zenon_H14f.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ].
% 11.15/11.34 apply (zenon_L813_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ].
% 11.15/11.34 apply (zenon_L120_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ].
% 11.15/11.34 apply (zenon_L133_); trivial.
% 11.15/11.34 exact (zenon_H14f zenon_Hc4).
% 11.15/11.34 (* end of lemma zenon_L814_ *)
% 11.15/11.34 assert (zenon_L815_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H198 zenon_H32 zenon_H10e zenon_Hc3 zenon_H14f zenon_H169 zenon_H155 zenon_H1e zenon_H127 zenon_H125 zenon_H113 zenon_H14e zenon_H65 zenon_Hec zenon_H15a zenon_Ha5 zenon_H7c.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ].
% 11.15/11.34 apply (zenon_L158_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ].
% 11.15/11.34 apply (zenon_L317_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ].
% 11.15/11.34 apply (zenon_L814_); trivial.
% 11.15/11.34 apply (zenon_L125_); trivial.
% 11.15/11.34 (* end of lemma zenon_L815_ *)
% 11.15/11.34 assert (zenon_L816_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H235 zenon_H1a7 zenon_H6f zenon_H1a6 zenon_H75 zenon_H7c zenon_Hf7 zenon_H65.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_Hba | zenon_intro zenon_H236 ].
% 11.15/11.34 apply (zenon_L189_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H18e | zenon_intro zenon_H237 ].
% 11.15/11.34 apply (zenon_L190_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H114 | zenon_intro zenon_H74 ].
% 11.15/11.34 apply (zenon_L586_); trivial.
% 11.15/11.34 apply (zenon_L67_); trivial.
% 11.15/11.34 (* end of lemma zenon_L816_ *)
% 11.15/11.34 assert (zenon_L817_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False).
% 11.15/11.34 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_H38 zenon_Ha1 zenon_H1d4 zenon_Ha5 zenon_H15a zenon_Hec zenon_H14e zenon_H113 zenon_H125 zenon_H127 zenon_H1e zenon_H155 zenon_H169 zenon_H14f zenon_H10e zenon_H32 zenon_H198 zenon_H235 zenon_H1a7 zenon_H1a6 zenon_H75 zenon_H7c zenon_Hf7 zenon_H65.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.34 exact (zenon_He6 zenon_H1f).
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ].
% 11.15/11.34 apply (zenon_L812_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ].
% 11.15/11.34 apply (zenon_L257_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ].
% 11.15/11.34 apply (zenon_L20_); trivial.
% 11.15/11.34 apply (zenon_L814_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.34 apply (zenon_L815_); trivial.
% 11.15/11.34 apply (zenon_L816_); trivial.
% 11.15/11.34 (* end of lemma zenon_L817_ *)
% 11.15/11.34 assert (zenon_L818_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H1f4 zenon_He3 zenon_H84 zenon_H14f zenon_H169 zenon_H158 zenon_H138 zenon_H163 zenon_H15a zenon_H1ca zenon_H7c zenon_Hf5 zenon_H65.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ].
% 11.15/11.34 apply (zenon_L157_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ].
% 11.15/11.34 apply (zenon_L811_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ].
% 11.15/11.34 apply (zenon_L229_); trivial.
% 11.15/11.34 apply (zenon_L119_); trivial.
% 11.15/11.34 (* end of lemma zenon_L818_ *)
% 11.15/11.34 assert (zenon_L819_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H127 zenon_H125 zenon_H150 zenon_Hf7 zenon_H7c zenon_H75 zenon_H113 zenon_H1a6 zenon_H1a7 zenon_H235 zenon_H14e zenon_H65 zenon_Hec.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ].
% 11.15/11.34 apply (zenon_L113_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ].
% 11.15/11.34 apply (zenon_L812_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ].
% 11.15/11.34 exact (zenon_H14e zenon_H103).
% 11.15/11.34 apply (zenon_L246_); trivial.
% 11.15/11.34 (* end of lemma zenon_L819_ *)
% 11.15/11.34 assert (zenon_L820_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H200 zenon_Hc5 zenon_H56 zenon_He3 zenon_H1dd zenon_H127 zenon_H125 zenon_H150 zenon_Hf7 zenon_H7c zenon_H75 zenon_H113 zenon_H1a6 zenon_H235 zenon_H14e zenon_H65 zenon_Hec.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.34 apply (zenon_L127_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.34 exact (zenon_H56 zenon_H24).
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.34 apply (zenon_L481_); trivial.
% 11.15/11.34 apply (zenon_L819_); trivial.
% 11.15/11.34 (* end of lemma zenon_L820_ *)
% 11.15/11.34 assert (zenon_L821_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H235 zenon_H31 zenon_Hb9 zenon_H6f zenon_H1a6 zenon_H75 zenon_H7c zenon_Hf7 zenon_H65.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_Hba | zenon_intro zenon_H236 ].
% 11.15/11.34 apply (zenon_L41_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H18e | zenon_intro zenon_H237 ].
% 11.15/11.34 apply (zenon_L190_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H114 | zenon_intro zenon_H74 ].
% 11.15/11.34 apply (zenon_L586_); trivial.
% 11.15/11.34 apply (zenon_L67_); trivial.
% 11.15/11.34 (* end of lemma zenon_L821_ *)
% 11.15/11.34 assert (zenon_L822_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H198 zenon_H2d zenon_H65 zenon_Hf7 zenon_H75 zenon_H1a6 zenon_Hb9 zenon_H31 zenon_H235 zenon_H123 zenon_H113 zenon_Ha5 zenon_H7c.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ].
% 11.15/11.34 apply (zenon_L301_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ].
% 11.15/11.34 apply (zenon_L821_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ].
% 11.15/11.34 apply (zenon_L170_); trivial.
% 11.15/11.34 apply (zenon_L125_); trivial.
% 11.15/11.34 (* end of lemma zenon_L822_ *)
% 11.15/11.34 assert (zenon_L823_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H1d4 zenon_Ha5 zenon_H235 zenon_H31 zenon_Hb9 zenon_H1a6 zenon_H75 zenon_Hf7 zenon_H2d zenon_H198 zenon_H3f zenon_Ha1 zenon_H38 zenon_H15a zenon_Hec zenon_H65 zenon_H14e zenon_H113 zenon_H125 zenon_H127 zenon_H1e zenon_H155 zenon_H169 zenon_H7c zenon_H14f.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ].
% 11.15/11.34 apply (zenon_L822_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ].
% 11.15/11.34 apply (zenon_L257_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ].
% 11.15/11.34 apply (zenon_L20_); trivial.
% 11.15/11.34 apply (zenon_L814_); trivial.
% 11.15/11.34 (* end of lemma zenon_L823_ *)
% 11.15/11.34 assert (zenon_L824_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H14b zenon_H175 zenon_H149 zenon_H38 zenon_H11f zenon_Hdd zenon_H65 zenon_H31 zenon_H81.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.34 apply (zenon_L291_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.34 apply (zenon_L296_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.34 apply (zenon_L51_); trivial.
% 11.15/11.34 apply (zenon_L73_); trivial.
% 11.15/11.34 (* end of lemma zenon_L824_ *)
% 11.15/11.34 assert (zenon_L825_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.15/11.34 do 0 intro. intros zenon_Hbe zenon_Ha5 zenon_H9b zenon_H10e zenon_H6f zenon_H65 zenon_H38 zenon_H158 zenon_H156.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 11.15/11.34 apply (zenon_L36_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 11.15/11.34 apply (zenon_L317_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 11.15/11.34 apply (zenon_L20_); trivial.
% 11.15/11.34 apply (zenon_L425_); trivial.
% 11.15/11.34 (* end of lemma zenon_L825_ *)
% 11.15/11.34 assert (zenon_L826_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H200 zenon_H104 zenon_H80 zenon_H56 zenon_H156 zenon_H158 zenon_H38 zenon_H65 zenon_H10e zenon_H9b zenon_Ha5 zenon_Hbe zenon_H2d zenon_H11f zenon_H22 zenon_He6 zenon_Hd6 zenon_H1a9 zenon_H31.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.34 apply (zenon_L154_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.34 exact (zenon_H56 zenon_H24).
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.34 exact (zenon_He6 zenon_H1f).
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.34 apply (zenon_L380_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.34 apply (zenon_L316_); trivial.
% 11.15/11.34 apply (zenon_L825_); trivial.
% 11.15/11.34 apply (zenon_L328_); trivial.
% 11.15/11.34 (* end of lemma zenon_L826_ *)
% 11.15/11.34 assert (zenon_L827_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H180 zenon_H14f zenon_Hec zenon_Hd9 zenon_H75 zenon_H7c zenon_H149 zenon_H65 zenon_H12d zenon_H14e zenon_H19e zenon_Ha5 zenon_H42 zenon_H31 zenon_H109.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.34 apply (zenon_L806_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.34 apply (zenon_L807_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.34 apply (zenon_L36_); trivial.
% 11.15/11.34 apply (zenon_L75_); trivial.
% 11.15/11.34 (* end of lemma zenon_L827_ *)
% 11.15/11.34 assert (zenon_L828_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H198 zenon_H2d zenon_Hf7 zenon_H75 zenon_H1a6 zenon_Hb9 zenon_H31 zenon_H235 zenon_Hec zenon_H65 zenon_H14e zenon_H113 zenon_H150 zenon_H125 zenon_H127 zenon_Ha5 zenon_H7c.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ].
% 11.15/11.34 apply (zenon_L301_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ].
% 11.15/11.34 apply (zenon_L821_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ].
% 11.15/11.34 apply (zenon_L813_); trivial.
% 11.15/11.34 apply (zenon_L125_); trivial.
% 11.15/11.34 (* end of lemma zenon_L828_ *)
% 11.15/11.34 assert (zenon_L829_ : ((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))) -> ((op (e3) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e3)) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H268 zenon_H7c zenon_H109 zenon_Hc4.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ].
% 11.15/11.34 exact (zenon_H14f zenon_Hc4).
% 11.15/11.34 apply (zenon_L129_); trivial.
% 11.15/11.34 (* end of lemma zenon_L829_ *)
% 11.15/11.34 assert (zenon_L830_ : ((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0))) -> ((op (e2) (e2)) = (e3)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e2)) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H1f2 zenon_H65 zenon_H81 zenon_H103.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ].
% 11.15/11.34 exact (zenon_H14e zenon_H103).
% 11.15/11.34 apply (zenon_L53_); trivial.
% 11.15/11.34 (* end of lemma zenon_L830_ *)
% 11.15/11.34 assert (zenon_L831_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H127 zenon_H125 zenon_H150 zenon_H1f zenon_H104 zenon_H14e zenon_H65 zenon_Hec.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ].
% 11.15/11.34 apply (zenon_L113_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ].
% 11.15/11.34 apply (zenon_L347_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ].
% 11.15/11.34 exact (zenon_H14e zenon_H103).
% 11.15/11.34 apply (zenon_L246_); trivial.
% 11.15/11.34 (* end of lemma zenon_L831_ *)
% 11.15/11.34 assert (zenon_L832_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H15a zenon_Hec zenon_H65 zenon_H14e zenon_H104 zenon_H1f zenon_H125 zenon_H127 zenon_H85 zenon_H158 zenon_H169 zenon_H7c zenon_H14f.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ].
% 11.15/11.34 apply (zenon_L831_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ].
% 11.15/11.34 apply (zenon_L425_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ].
% 11.15/11.34 apply (zenon_L133_); trivial.
% 11.15/11.34 exact (zenon_H14f zenon_Hc4).
% 11.15/11.34 (* end of lemma zenon_L832_ *)
% 11.15/11.34 assert (zenon_L833_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H15a zenon_Hf0 zenon_H158 zenon_H1f zenon_Hc5 zenon_H169 zenon_H7c zenon_H14f.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ].
% 11.15/11.34 apply (zenon_L121_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ].
% 11.15/11.34 apply (zenon_L310_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ].
% 11.15/11.34 apply (zenon_L133_); trivial.
% 11.15/11.34 exact (zenon_H14f zenon_Hc4).
% 11.15/11.34 (* end of lemma zenon_L833_ *)
% 11.15/11.34 assert (zenon_L834_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((e0) = (e3))) -> ((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H273 zenon_H81 zenon_H1f2 zenon_H16f zenon_H125 zenon_H15e zenon_Ha5 zenon_H127 zenon_H65 zenon_Hec zenon_H104 zenon_H158 zenon_H169 zenon_H7c zenon_H15a zenon_Hc5 zenon_H166 zenon_H1f zenon_H2d zenon_H26d zenon_H268 zenon_H109 zenon_H26c.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.34 exact (zenon_H26d zenon_H2c).
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.34 apply (zenon_L56_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.34 apply (zenon_L113_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.15/11.34 apply (zenon_L310_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.15/11.34 apply (zenon_L213_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.15/11.34 apply (zenon_L832_); trivial.
% 11.15/11.34 apply (zenon_L125_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.34 apply (zenon_L833_); trivial.
% 11.15/11.34 exact (zenon_H165 zenon_H68).
% 11.15/11.34 apply (zenon_L831_); trivial.
% 11.15/11.34 exact (zenon_H165 zenon_H68).
% 11.15/11.34 exact (zenon_Haa zenon_Ha9).
% 11.15/11.34 apply (zenon_L829_); trivial.
% 11.15/11.34 apply (zenon_L830_); trivial.
% 11.15/11.34 (* end of lemma zenon_L834_ *)
% 11.15/11.34 assert (zenon_L835_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H127 zenon_H2c zenon_H122 zenon_H125 zenon_H156 zenon_H14e zenon_H65 zenon_Hec.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ].
% 11.15/11.34 apply (zenon_L642_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ].
% 11.15/11.34 apply (zenon_L428_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ].
% 11.15/11.34 exact (zenon_H14e zenon_H103).
% 11.15/11.34 apply (zenon_L246_); trivial.
% 11.15/11.34 (* end of lemma zenon_L835_ *)
% 11.15/11.34 assert (zenon_L836_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H15a zenon_H2c zenon_H155 zenon_H85 zenon_H158 zenon_H169 zenon_H7c zenon_H14f.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ].
% 11.15/11.34 apply (zenon_L663_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ].
% 11.15/11.34 apply (zenon_L425_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ].
% 11.15/11.34 apply (zenon_L133_); trivial.
% 11.15/11.34 exact (zenon_H14f zenon_Hc4).
% 11.15/11.34 (* end of lemma zenon_L836_ *)
% 11.15/11.34 assert (zenon_L837_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H15e zenon_Hec zenon_H65 zenon_H14e zenon_H125 zenon_H122 zenon_H127 zenon_H2d zenon_H163 zenon_H14f zenon_H169 zenon_H158 zenon_H155 zenon_H2c zenon_H15a zenon_Ha5 zenon_H7c.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.15/11.34 apply (zenon_L835_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.15/11.34 apply (zenon_L213_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.15/11.34 apply (zenon_L836_); trivial.
% 11.15/11.34 apply (zenon_L125_); trivial.
% 11.15/11.34 (* end of lemma zenon_L837_ *)
% 11.15/11.34 assert (zenon_L838_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H15a zenon_Hf0 zenon_H158 zenon_Hec zenon_H65 zenon_H14e zenon_H125 zenon_H122 zenon_H2c zenon_H127 zenon_H169 zenon_H7c zenon_H14f.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ].
% 11.15/11.34 apply (zenon_L121_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ].
% 11.15/11.34 apply (zenon_L835_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ].
% 11.15/11.34 apply (zenon_L133_); trivial.
% 11.15/11.34 exact (zenon_H14f zenon_Hc4).
% 11.15/11.34 (* end of lemma zenon_L838_ *)
% 11.15/11.34 assert (zenon_L839_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((e0) = (e3))) -> ((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H273 zenon_H81 zenon_H1f2 zenon_H166 zenon_H127 zenon_H65 zenon_Hec zenon_H125 zenon_H122 zenon_H2d zenon_H15a zenon_H7c zenon_H169 zenon_H158 zenon_Ha5 zenon_H15e zenon_H2c zenon_H155 zenon_H268 zenon_H109 zenon_H26c.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.34 apply (zenon_L663_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.34 apply (zenon_L837_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.34 apply (zenon_L838_); trivial.
% 11.15/11.34 exact (zenon_H165 zenon_H68).
% 11.15/11.34 exact (zenon_H165 zenon_H68).
% 11.15/11.34 exact (zenon_Haa zenon_Ha9).
% 11.15/11.34 apply (zenon_L829_); trivial.
% 11.15/11.34 apply (zenon_L830_); trivial.
% 11.15/11.34 (* end of lemma zenon_L839_ *)
% 11.15/11.34 assert (zenon_L840_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H235 zenon_H1a7 zenon_H1a6 zenon_H186 zenon_Hb9 zenon_H75 zenon_H7c zenon_Hf7 zenon_H65.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_Hba | zenon_intro zenon_H236 ].
% 11.15/11.34 apply (zenon_L189_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H18e | zenon_intro zenon_H237 ].
% 11.15/11.34 apply (zenon_L182_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H114 | zenon_intro zenon_H74 ].
% 11.15/11.34 apply (zenon_L586_); trivial.
% 11.15/11.34 apply (zenon_L67_); trivial.
% 11.15/11.34 (* end of lemma zenon_L840_ *)
% 11.15/11.34 assert (zenon_L841_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H1ae zenon_H1a7 zenon_H18e zenon_Hb9 zenon_H69 zenon_H7c zenon_H1a9 zenon_Hd1.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ].
% 11.15/11.34 apply (zenon_L328_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ].
% 11.15/11.34 apply (zenon_L182_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ].
% 11.15/11.34 apply (zenon_L186_); trivial.
% 11.15/11.34 apply (zenon_L192_); trivial.
% 11.15/11.34 (* end of lemma zenon_L841_ *)
% 11.15/11.34 assert (zenon_L842_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H198 zenon_H65 zenon_Hf7 zenon_H75 zenon_H1a6 zenon_H235 zenon_H1f zenon_H22e zenon_Hd1 zenon_H1a9 zenon_H7c zenon_H69 zenon_Hb9 zenon_H1a7 zenon_H1ae zenon_H15d.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ].
% 11.15/11.34 apply (zenon_L840_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ].
% 11.15/11.34 apply (zenon_L450_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ].
% 11.15/11.34 apply (zenon_L841_); trivial.
% 11.15/11.34 exact (zenon_H15d zenon_H6e).
% 11.15/11.34 (* end of lemma zenon_L842_ *)
% 11.15/11.34 assert (zenon_L843_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_Hd3 zenon_H38 zenon_H46 zenon_Hcc zenon_H198 zenon_H65 zenon_Hf7 zenon_H75 zenon_H1a6 zenon_H235 zenon_H1f zenon_H22e zenon_H1a9 zenon_H7c zenon_H69 zenon_Hb9 zenon_H1a7 zenon_H1ae zenon_H15d.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.15/11.34 apply (zenon_L9_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.15/11.34 apply (zenon_L722_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.15/11.34 apply (zenon_L45_); trivial.
% 11.15/11.34 apply (zenon_L842_); trivial.
% 11.15/11.34 (* end of lemma zenon_L843_ *)
% 11.15/11.34 assert (zenon_L844_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H20f zenon_H11c zenon_H89 zenon_H1f zenon_H1f0 zenon_H9b zenon_H1dd zenon_H65 zenon_Hcc.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_Hea | zenon_intro zenon_H210 ].
% 11.15/11.34 apply (zenon_L336_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H211 ].
% 11.15/11.34 apply (zenon_L305_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H10d | zenon_intro zenon_Hcb ].
% 11.15/11.34 apply (zenon_L512_); trivial.
% 11.15/11.34 apply (zenon_L45_); trivial.
% 11.15/11.34 (* end of lemma zenon_L844_ *)
% 11.15/11.34 assert (zenon_L845_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_He1 zenon_H41 zenon_H2c zenon_H85 zenon_H84 zenon_H10d zenon_H1dd zenon_H65 zenon_Hdd.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ].
% 11.15/11.34 apply (zenon_L153_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ].
% 11.15/11.34 apply (zenon_L27_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ].
% 11.15/11.34 apply (zenon_L512_); trivial.
% 11.15/11.34 apply (zenon_L51_); trivial.
% 11.15/11.34 (* end of lemma zenon_L845_ *)
% 11.15/11.34 assert (zenon_L846_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_Hbe zenon_H24d zenon_H186 zenon_H1f zenon_H1f0 zenon_H67 zenon_He1 zenon_H41 zenon_H2c zenon_H84 zenon_H10d zenon_H1dd zenon_H65 zenon_Hdd.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 11.15/11.34 apply (zenon_L511_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 11.15/11.34 apply (zenon_L305_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 11.15/11.34 exact (zenon_H67 zenon_H66).
% 11.15/11.34 apply (zenon_L845_); trivial.
% 11.15/11.34 (* end of lemma zenon_L846_ *)
% 11.15/11.34 assert (zenon_L847_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H14b zenon_H81 zenon_H70 zenon_H7c zenon_Hbe zenon_H24d zenon_H1f zenon_H1f0 zenon_H67 zenon_He1 zenon_H41 zenon_H2c zenon_H84 zenon_H1dd zenon_H1b9 zenon_Hcc zenon_H20f zenon_H149 zenon_H1ca zenon_Ha5 zenon_H117 zenon_Hdd zenon_H65 zenon_H186 zenon_H38.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.34 apply (zenon_L468_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.34 apply (zenon_L224_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 11.15/11.34 apply (zenon_L511_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 11.15/11.34 apply (zenon_L305_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 11.15/11.34 exact (zenon_H67 zenon_H66).
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ].
% 11.15/11.34 apply (zenon_L844_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ].
% 11.15/11.34 apply (zenon_L845_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ].
% 11.15/11.34 apply (zenon_L137_); trivial.
% 11.15/11.34 apply (zenon_L229_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.34 apply (zenon_L846_); trivial.
% 11.15/11.34 apply (zenon_L191_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.34 apply (zenon_L51_); trivial.
% 11.15/11.34 apply (zenon_L295_); trivial.
% 11.15/11.34 (* end of lemma zenon_L847_ *)
% 11.15/11.34 assert (zenon_L848_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H198 zenon_H38 zenon_H1f zenon_H22e zenon_H101 zenon_H1a9 zenon_H7c zenon_H70 zenon_H1a6 zenon_Hba zenon_H1ab zenon_H15d.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ].
% 11.15/11.34 apply (zenon_L295_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ].
% 11.15/11.34 apply (zenon_L450_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ].
% 11.15/11.34 apply (zenon_L193_); trivial.
% 11.15/11.34 exact (zenon_H15d zenon_H6e).
% 11.15/11.34 (* end of lemma zenon_L848_ *)
% 11.15/11.34 assert (zenon_L849_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H1ae zenon_H18e zenon_Hb9 zenon_H69 zenon_H198 zenon_H38 zenon_H1f zenon_H22e zenon_H1a9 zenon_H7c zenon_H70 zenon_H1a6 zenon_Hba zenon_H1ab zenon_H15d.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ].
% 11.15/11.34 apply (zenon_L41_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ].
% 11.15/11.34 apply (zenon_L182_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ].
% 11.15/11.34 apply (zenon_L186_); trivial.
% 11.15/11.34 apply (zenon_L848_); trivial.
% 11.15/11.34 (* end of lemma zenon_L849_ *)
% 11.15/11.34 assert (zenon_L850_ : ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H65 zenon_Hdd zenon_H117 zenon_Ha5 zenon_H1ca zenon_H149 zenon_H20f zenon_Hcc zenon_H1b9 zenon_H1dd zenon_H84 zenon_H2c zenon_H41 zenon_He1 zenon_H67 zenon_H1f0 zenon_H24d zenon_Hbe zenon_H81 zenon_H14b zenon_H1ab zenon_Hba zenon_H1a6 zenon_H70 zenon_H7c zenon_H1a9 zenon_H22e zenon_H1f zenon_H38 zenon_H198 zenon_H69 zenon_Hb9 zenon_H1ae zenon_H15d.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ].
% 11.15/11.34 apply (zenon_L847_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ].
% 11.15/11.34 apply (zenon_L450_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ].
% 11.15/11.34 apply (zenon_L849_); trivial.
% 11.15/11.34 exact (zenon_H15d zenon_H6e).
% 11.15/11.34 (* end of lemma zenon_L850_ *)
% 11.15/11.34 assert (zenon_L851_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H1cd zenon_H32 zenon_H235 zenon_H75 zenon_Hf7 zenon_H46 zenon_Hd3 zenon_H15d zenon_H1ae zenon_Hb9 zenon_H69 zenon_H198 zenon_H38 zenon_H1f zenon_H22e zenon_H1a9 zenon_H70 zenon_H1a6 zenon_H1ab zenon_H14b zenon_H81 zenon_Hbe zenon_H24d zenon_H1f0 zenon_H67 zenon_He1 zenon_H41 zenon_H2c zenon_H84 zenon_H1dd zenon_H1b9 zenon_Hcc zenon_H20f zenon_H149 zenon_H1ca zenon_Ha5 zenon_H117 zenon_Hdd zenon_H65 zenon_H109 zenon_H7c.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H31 | zenon_intro zenon_H1ce ].
% 11.15/11.34 apply (zenon_L6_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1cf ].
% 11.15/11.34 apply (zenon_L843_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hba | zenon_intro zenon_H68 ].
% 11.15/11.34 apply (zenon_L850_); trivial.
% 11.15/11.34 apply (zenon_L129_); trivial.
% 11.15/11.34 (* end of lemma zenon_L851_ *)
% 11.15/11.34 assert (zenon_L852_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H117 zenon_Ha5 zenon_Hcc zenon_H65 zenon_H1f0 zenon_H1f zenon_H89 zenon_H20f zenon_H9b zenon_H1dd zenon_H7c zenon_H70.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.34 apply (zenon_L224_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.34 apply (zenon_L844_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.34 apply (zenon_L512_); trivial.
% 11.15/11.34 apply (zenon_L191_); trivial.
% 11.15/11.34 (* end of lemma zenon_L852_ *)
% 11.15/11.34 assert (zenon_L853_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e1)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H19e zenon_Ha5 zenon_H123 zenon_H1f3 zenon_H65 zenon_H149 zenon_H7c zenon_H75.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.34 apply (zenon_L270_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.34 exact (zenon_H1f3 zenon_H130).
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.34 apply (zenon_L137_); trivial.
% 11.15/11.34 apply (zenon_L586_); trivial.
% 11.15/11.34 (* end of lemma zenon_L853_ *)
% 11.15/11.34 assert (zenon_L854_ : ((op (e3) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((e2) = (e3))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H7c zenon_H73 zenon_H149.
% 11.15/11.34 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 11.15/11.34 cut (((e3) = (e3)) = ((e2) = (e3))).
% 11.15/11.34 intro zenon_D_pnotp.
% 11.15/11.34 apply zenon_H149.
% 11.15/11.34 rewrite <- zenon_D_pnotp.
% 11.15/11.34 exact zenon_H39.
% 11.15/11.34 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.15/11.34 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 11.15/11.34 congruence.
% 11.15/11.34 cut (((op (e3) (e3)) = (e2)) = ((e3) = (e2))).
% 11.15/11.34 intro zenon_D_pnotp.
% 11.15/11.34 apply zenon_H14a.
% 11.15/11.34 rewrite <- zenon_D_pnotp.
% 11.15/11.34 exact zenon_H7c.
% 11.15/11.34 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 11.15/11.34 cut (((op (e3) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1c5].
% 11.15/11.34 congruence.
% 11.15/11.34 exact (zenon_H1c5 zenon_H73).
% 11.15/11.34 apply zenon_H45. apply refl_equal.
% 11.15/11.34 apply zenon_H3a. apply refl_equal.
% 11.15/11.34 apply zenon_H3a. apply refl_equal.
% 11.15/11.34 (* end of lemma zenon_L854_ *)
% 11.15/11.34 assert (zenon_L855_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e1)) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H1c4 zenon_H38 zenon_H156 zenon_H145 zenon_H65 zenon_Hf5 zenon_H7c zenon_H149.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1c6 ].
% 11.15/11.34 apply (zenon_L239_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H133 | zenon_intro zenon_H1c7 ].
% 11.15/11.34 exact (zenon_H145 zenon_H133).
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H153 | zenon_intro zenon_H73 ].
% 11.15/11.34 apply (zenon_L119_); trivial.
% 11.15/11.34 apply (zenon_L854_); trivial.
% 11.15/11.34 (* end of lemma zenon_L855_ *)
% 11.15/11.34 assert (zenon_L856_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e1)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_H19e zenon_H109 zenon_H80 zenon_H1f3 zenon_H65 zenon_H149 zenon_H7c zenon_H75.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.34 apply (zenon_L109_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.34 exact (zenon_H1f3 zenon_H130).
% 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.34 apply (zenon_L137_); trivial.
% 11.15/11.34 apply (zenon_L586_); trivial.
% 11.15/11.34 (* end of lemma zenon_L856_ *)
% 11.15/11.34 assert (zenon_L857_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.15/11.34 do 0 intro. intros zenon_Hd9 zenon_H89 zenon_H88 zenon_H38 zenon_H1f zenon_Hec zenon_H65 zenon_H150 zenon_H81.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.34 apply (zenon_L28_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.34 apply (zenon_L9_); trivial.
% 11.15/11.34 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.34 apply (zenon_L246_); trivial.
% 11.15/11.34 apply (zenon_L116_); trivial.
% 11.15/11.34 (* end of lemma zenon_L857_ *)
% 11.15/11.34 assert (zenon_L858_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e3) (e1)) = (e3))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_Hd3 zenon_H38 zenon_H1f zenon_H24 zenon_H81 zenon_Hcc zenon_H13b zenon_H37 zenon_H88 zenon_H121 zenon_H143 zenon_H65 zenon_H145.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.15/11.35 apply (zenon_L9_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.15/11.35 apply (zenon_L44_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.15/11.35 apply (zenon_L45_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.15/11.35 apply (zenon_L28_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.15/11.35 apply (zenon_L338_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.15/11.35 apply (zenon_L99_); trivial.
% 11.15/11.35 exact (zenon_H145 zenon_H133).
% 11.15/11.35 (* end of lemma zenon_L858_ *)
% 11.15/11.35 assert (zenon_L859_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H14b zenon_H175 zenon_H149 zenon_H150 zenon_Hec zenon_H1f zenon_H38 zenon_H88 zenon_Hd9 zenon_Hdd zenon_H65 zenon_H31 zenon_H81.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.35 apply (zenon_L291_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.35 apply (zenon_L857_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.35 apply (zenon_L51_); trivial.
% 11.15/11.35 apply (zenon_L73_); trivial.
% 11.15/11.35 (* end of lemma zenon_L859_ *)
% 11.15/11.35 assert (zenon_L860_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e1) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H198 zenon_H2d zenon_H31 zenon_H1f zenon_H22e zenon_H65 zenon_Hea zenon_H15d.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ].
% 11.15/11.35 apply (zenon_L301_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ].
% 11.15/11.35 apply (zenon_L450_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ].
% 11.15/11.35 apply (zenon_L522_); trivial.
% 11.15/11.35 exact (zenon_H15d zenon_H6e).
% 11.15/11.35 (* end of lemma zenon_L860_ *)
% 11.15/11.35 assert (zenon_L861_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H1ab zenon_H31 zenon_H18e zenon_H1a6 zenon_H70 zenon_H7c zenon_H1a9 zenon_H101.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ].
% 11.15/11.35 apply (zenon_L328_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ].
% 11.15/11.35 apply (zenon_L190_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ].
% 11.15/11.35 apply (zenon_L191_); trivial.
% 11.15/11.35 apply (zenon_L192_); trivial.
% 11.15/11.35 (* end of lemma zenon_L861_ *)
% 11.15/11.35 assert (zenon_L862_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H235 zenon_Hb9 zenon_H101 zenon_H1a9 zenon_H70 zenon_H1a6 zenon_H31 zenon_H1ab zenon_H75 zenon_H7c zenon_Hf7 zenon_H65.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_Hba | zenon_intro zenon_H236 ].
% 11.15/11.35 apply (zenon_L41_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H18e | zenon_intro zenon_H237 ].
% 11.15/11.35 apply (zenon_L861_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H114 | zenon_intro zenon_H74 ].
% 11.15/11.35 apply (zenon_L586_); trivial.
% 11.15/11.35 apply (zenon_L67_); trivial.
% 11.15/11.35 (* end of lemma zenon_L862_ *)
% 11.15/11.35 assert (zenon_L863_ : ((~((op (e3) (e1)) = (e3)))\/((op (e3) (e3)) = (e1))) -> ((op (e3) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e3)) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H220 zenon_H7c zenon_Ha5 zenon_H133.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ].
% 11.15/11.35 exact (zenon_H145 zenon_H133).
% 11.15/11.35 apply (zenon_L125_); trivial.
% 11.15/11.35 (* end of lemma zenon_L863_ *)
% 11.15/11.35 assert (zenon_L864_ : ((~((op (e2) (e1)) = (e2)))\/((op (e2) (e2)) = (e1))) -> ((op (e2) (e2)) = (e3)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e2)) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H21c zenon_H65 zenon_H38 zenon_H130.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ].
% 11.15/11.35 exact (zenon_H1f3 zenon_H130).
% 11.15/11.35 apply (zenon_L20_); trivial.
% 11.15/11.35 (* end of lemma zenon_L864_ *)
% 11.15/11.35 assert (zenon_L865_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e3) (e1)) = (e3))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H13b zenon_H81 zenon_H23 zenon_H11c zenon_H149 zenon_H143 zenon_H65 zenon_H145.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.15/11.35 apply (zenon_L292_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.15/11.35 apply (zenon_L285_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.15/11.35 apply (zenon_L99_); trivial.
% 11.15/11.35 exact (zenon_H145 zenon_H133).
% 11.15/11.35 (* end of lemma zenon_L865_ *)
% 11.15/11.35 assert (zenon_L866_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H23b zenon_H7c zenon_H75 zenon_H65.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H114 ].
% 11.15/11.35 exact (zenon_H1a4 zenon_H65).
% 11.15/11.35 apply (zenon_L586_); trivial.
% 11.15/11.35 (* end of lemma zenon_L866_ *)
% 11.15/11.35 assert (zenon_L867_ : (((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\(((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H25b zenon_H7c zenon_H75 zenon_H65.
% 11.15/11.35 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25d. zenon_intro zenon_H25c.
% 11.15/11.35 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H272. zenon_intro zenon_H271.
% 11.15/11.35 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H23b. zenon_intro zenon_H274.
% 11.15/11.35 apply (zenon_L866_); trivial.
% 11.15/11.35 (* end of lemma zenon_L867_ *)
% 11.15/11.35 assert (zenon_L868_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H20c zenon_H1a7 zenon_H22e zenon_Hc3 zenon_H1f0 zenon_H175 zenon_H1d zenon_Hca zenon_H1f7.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_He5 | zenon_intro zenon_H20d ].
% 11.15/11.35 apply (zenon_L392_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f | zenon_intro zenon_H20e ].
% 11.15/11.35 apply (zenon_L305_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H57 | zenon_intro zenon_H3d ].
% 11.15/11.35 apply (zenon_L281_); trivial.
% 11.15/11.35 apply (zenon_L321_); trivial.
% 11.15/11.35 (* end of lemma zenon_L868_ *)
% 11.15/11.35 assert (zenon_L869_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_H38 zenon_H1f7 zenon_Hca zenon_H1d zenon_H175 zenon_H1f0 zenon_H22e zenon_H1a7 zenon_H20c zenon_H6e zenon_H70.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.35 exact (zenon_He6 zenon_H1f).
% 11.15/11.35 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.35 apply (zenon_L514_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.35 apply (zenon_L868_); trivial.
% 11.15/11.35 apply (zenon_L22_); trivial.
% 11.15/11.35 (* end of lemma zenon_L869_ *)
% 11.15/11.35 assert (zenon_L870_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H200 zenon_Hc5 zenon_H150 zenon_H56 zenon_He3 zenon_H1dd zenon_Hd6 zenon_He6 zenon_H38 zenon_H1f7 zenon_Hca zenon_H1d zenon_H175 zenon_H1f0 zenon_H22e zenon_H20c zenon_H6e zenon_H70.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.35 apply (zenon_L127_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.35 exact (zenon_H56 zenon_H24).
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.35 apply (zenon_L481_); trivial.
% 11.15/11.35 apply (zenon_L869_); trivial.
% 11.15/11.35 (* end of lemma zenon_L870_ *)
% 11.15/11.35 assert (zenon_L871_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H1c4 zenon_H14f zenon_H145 zenon_Hdc zenon_H84 zenon_H6e zenon_H38.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1c6 ].
% 11.15/11.35 exact (zenon_H14f zenon_Hc4).
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H133 | zenon_intro zenon_H1c7 ].
% 11.15/11.35 exact (zenon_H145 zenon_H133).
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H153 | zenon_intro zenon_H73 ].
% 11.15/11.35 apply (zenon_L131_); trivial.
% 11.15/11.35 apply (zenon_L262_); trivial.
% 11.15/11.35 (* end of lemma zenon_L871_ *)
% 11.15/11.35 assert (zenon_L872_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H14b zenon_H1e zenon_H22 zenon_Hca zenon_H38 zenon_H6e zenon_H84 zenon_H145 zenon_H14f zenon_H1c4 zenon_H108 zenon_H149.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.35 apply (zenon_L8_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.35 apply (zenon_L57_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.35 apply (zenon_L871_); trivial.
% 11.15/11.35 apply (zenon_L184_); trivial.
% 11.15/11.35 (* end of lemma zenon_L872_ *)
% 11.15/11.35 assert (zenon_L873_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H180 zenon_H70 zenon_H6e zenon_H20c zenon_H22e zenon_H1f0 zenon_H1d zenon_H1f7 zenon_H38 zenon_He6 zenon_Hd6 zenon_H1dd zenon_H56 zenon_H150 zenon_Hc5 zenon_H200 zenon_Ha5 zenon_H11f zenon_H109 zenon_H14b zenon_H123 zenon_H22 zenon_Hca zenon_H81 zenon_He3 zenon_H149.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.35 apply (zenon_L870_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.35 apply (zenon_L81_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.35 apply (zenon_L206_); trivial.
% 11.15/11.35 apply (zenon_L479_); trivial.
% 11.15/11.35 (* end of lemma zenon_L873_ *)
% 11.15/11.35 assert (zenon_L874_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H1da zenon_H88 zenon_H149 zenon_He3 zenon_H81 zenon_Hca zenon_H22 zenon_H14b zenon_H109 zenon_H11f zenon_Ha5 zenon_H200 zenon_Hc5 zenon_H150 zenon_H56 zenon_H1dd zenon_Hd6 zenon_He6 zenon_H38 zenon_H1f7 zenon_H1d zenon_H1f0 zenon_H22e zenon_H20c zenon_H70 zenon_H180 zenon_H6e zenon_H169.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.35 apply (zenon_L465_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.35 exact (zenon_He6 zenon_H1f).
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.35 apply (zenon_L873_); trivial.
% 11.15/11.35 apply (zenon_L376_); trivial.
% 11.15/11.35 (* end of lemma zenon_L874_ *)
% 11.15/11.35 assert (zenon_L875_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H219 zenon_H1c4 zenon_H14f zenon_H145 zenon_H84 zenon_H2d zenon_H169 zenon_H180 zenon_H20c zenon_H22e zenon_H1f0 zenon_H1d zenon_H1f7 zenon_H56 zenon_H150 zenon_Hc5 zenon_H200 zenon_Ha5 zenon_H109 zenon_H14b zenon_H22 zenon_H81 zenon_He3 zenon_H149 zenon_H88 zenon_H1da zenon_H70 zenon_H1dd zenon_H38 zenon_Hca zenon_He6 zenon_Hd6 zenon_H6e zenon_H69.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.35 apply (zenon_L870_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.35 apply (zenon_L127_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.35 exact (zenon_H56 zenon_H24).
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.35 apply (zenon_L689_); trivial.
% 11.15/11.35 apply (zenon_L722_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.35 apply (zenon_L206_); trivial.
% 11.15/11.35 apply (zenon_L872_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.35 apply (zenon_L874_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.35 apply (zenon_L677_); trivial.
% 11.15/11.35 apply (zenon_L237_); trivial.
% 11.15/11.35 (* end of lemma zenon_L875_ *)
% 11.15/11.35 assert (zenon_L876_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H166 zenon_H69 zenon_Hd6 zenon_He6 zenon_Hca zenon_H38 zenon_H1dd zenon_H70 zenon_H1da zenon_H88 zenon_H149 zenon_H81 zenon_H22 zenon_H14b zenon_H200 zenon_Hc5 zenon_H56 zenon_H1f7 zenon_H1d zenon_H1f0 zenon_H22e zenon_H20c zenon_H180 zenon_H2d zenon_H145 zenon_H1c4 zenon_H219 zenon_H6e zenon_Ha5 zenon_H15a zenon_H138 zenon_H169 zenon_H158 zenon_H14f zenon_H109 zenon_H155 zenon_H175 zenon_H9e zenon_He3 zenon_H84 zenon_H165.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.35 apply (zenon_L875_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.35 apply (zenon_L687_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.35 apply (zenon_L157_); trivial.
% 11.15/11.35 exact (zenon_H165 zenon_H68).
% 11.15/11.35 (* end of lemma zenon_L876_ *)
% 11.15/11.35 assert (zenon_L877_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_Hd9 zenon_H169 zenon_H165 zenon_H84 zenon_H9e zenon_H155 zenon_H14f zenon_H158 zenon_H138 zenon_H15a zenon_H219 zenon_H1c4 zenon_H145 zenon_H2d zenon_H180 zenon_H20c zenon_H22e zenon_H1f0 zenon_H1d zenon_H1f7 zenon_H56 zenon_Hc5 zenon_H200 zenon_H88 zenon_H1da zenon_H166 zenon_Ha5 zenon_H109 zenon_H14b zenon_H22 zenon_H81 zenon_He3 zenon_H149 zenon_H70 zenon_H1dd zenon_H38 zenon_Hca zenon_He6 zenon_Hd6 zenon_H6e zenon_H69.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.35 apply (zenon_L876_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.35 apply (zenon_L678_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.35 apply (zenon_L206_); trivial.
% 11.15/11.35 apply (zenon_L872_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.35 apply (zenon_L465_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.35 exact (zenon_He6 zenon_H1f).
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.35 apply (zenon_L876_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.35 apply (zenon_L81_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.35 apply (zenon_L206_); trivial.
% 11.15/11.35 apply (zenon_L479_); trivial.
% 11.15/11.35 apply (zenon_L376_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.35 apply (zenon_L677_); trivial.
% 11.15/11.35 apply (zenon_L237_); trivial.
% 11.15/11.35 (* end of lemma zenon_L877_ *)
% 11.15/11.35 assert (zenon_L878_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H170 zenon_H23 zenon_H132 zenon_H16b zenon_H6e zenon_H14f zenon_H138 zenon_H155 zenon_H1e zenon_H158 zenon_Hf0 zenon_H15a zenon_H145.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H163 | zenon_intro zenon_H17d ].
% 11.15/11.35 apply (zenon_L424_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H141 | zenon_intro zenon_H17e ].
% 11.15/11.35 apply (zenon_L177_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H95 | zenon_intro zenon_H133 ].
% 11.15/11.35 apply (zenon_L605_); trivial.
% 11.15/11.35 exact (zenon_H145 zenon_H133).
% 11.15/11.35 (* end of lemma zenon_L878_ *)
% 11.15/11.35 assert (zenon_L879_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H225 zenon_Ha2 zenon_Hca zenon_He9 zenon_H66 zenon_H38 zenon_H176.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Hdc | zenon_intro zenon_H226 ].
% 11.15/11.35 apply (zenon_L599_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hcb | zenon_intro zenon_H227 ].
% 11.15/11.35 apply (zenon_L303_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H65 | zenon_intro zenon_H153 ].
% 11.15/11.35 apply (zenon_L20_); trivial.
% 11.15/11.35 exact (zenon_H176 zenon_H153).
% 11.15/11.35 (* end of lemma zenon_L879_ *)
% 11.15/11.35 assert (zenon_L880_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H1c4 zenon_H149 zenon_H8d zenon_H145 zenon_H176 zenon_H6e zenon_H38.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1c6 ].
% 11.15/11.35 apply (zenon_L110_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H133 | zenon_intro zenon_H1c7 ].
% 11.15/11.35 exact (zenon_H145 zenon_H133).
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H153 | zenon_intro zenon_H73 ].
% 11.15/11.35 exact (zenon_H176 zenon_H153).
% 11.15/11.35 apply (zenon_L262_); trivial.
% 11.15/11.35 (* end of lemma zenon_L880_ *)
% 11.15/11.35 assert (zenon_L881_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H1c4 zenon_H81 zenon_H150 zenon_H145 zenon_H176 zenon_H6e zenon_H38.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1c6 ].
% 11.15/11.35 apply (zenon_L116_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H133 | zenon_intro zenon_H1c7 ].
% 11.15/11.35 exact (zenon_H145 zenon_H133).
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H153 | zenon_intro zenon_H73 ].
% 11.15/11.35 exact (zenon_H176 zenon_H153).
% 11.15/11.35 apply (zenon_L262_); trivial.
% 11.15/11.35 (* end of lemma zenon_L881_ *)
% 11.15/11.35 assert (zenon_L882_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H16f zenon_H88 zenon_H69 zenon_H180 zenon_H171 zenon_H109 zenon_H23 zenon_Ha5 zenon_H1ab zenon_Hf7 zenon_He9 zenon_Hf8 zenon_Hec zenon_Hf9 zenon_Hdd zenon_H225 zenon_Hb9 zenon_H75 zenon_H1a6 zenon_H235 zenon_H70 zenon_H1a9 zenon_H121 zenon_Hca zenon_H2d zenon_Hd6 zenon_H1d zenon_Hbd zenon_H219 zenon_H1c4 zenon_H81 zenon_H145 zenon_H176 zenon_H6e zenon_H38.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.35 apply (zenon_L447_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.35 apply (zenon_L705_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.35 apply (zenon_L709_); trivial.
% 11.15/11.35 apply (zenon_L881_); trivial.
% 11.15/11.35 (* end of lemma zenon_L882_ *)
% 11.15/11.35 assert (zenon_L883_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H135 zenon_H38 zenon_H6e zenon_H176 zenon_H145 zenon_H81 zenon_H1c4 zenon_H219 zenon_Hbd zenon_H1d zenon_Hd6 zenon_H2d zenon_H121 zenon_H1a9 zenon_H70 zenon_H235 zenon_H1a6 zenon_H75 zenon_Hb9 zenon_H225 zenon_Hdd zenon_Hf9 zenon_Hec zenon_Hf8 zenon_He9 zenon_Hf7 zenon_H1ab zenon_Ha5 zenon_H109 zenon_H171 zenon_H180 zenon_H69 zenon_H88 zenon_H16f zenon_H12e zenon_H12d zenon_H1a7 zenon_Hca zenon_H22.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H23 | zenon_intro zenon_H136 ].
% 11.15/11.35 apply (zenon_L882_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H11f | zenon_intro zenon_H137 ].
% 11.15/11.35 apply (zenon_L89_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H46 | zenon_intro zenon_H89 ].
% 11.15/11.35 apply (zenon_L722_); trivial.
% 11.15/11.35 apply (zenon_L57_); trivial.
% 11.15/11.35 (* end of lemma zenon_L883_ *)
% 11.15/11.35 assert (zenon_L884_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H1c4 zenon_H156 zenon_H145 zenon_H176 zenon_H6e zenon_H38.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1c6 ].
% 11.15/11.35 apply (zenon_L239_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H133 | zenon_intro zenon_H1c7 ].
% 11.15/11.35 exact (zenon_H145 zenon_H133).
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H153 | zenon_intro zenon_H73 ].
% 11.15/11.35 exact (zenon_H176 zenon_H153).
% 11.15/11.35 apply (zenon_L262_); trivial.
% 11.15/11.35 (* end of lemma zenon_L884_ *)
% 11.15/11.35 assert (zenon_L885_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H1d4 zenon_H70 zenon_Hbd zenon_H38 zenon_Hca zenon_H104 zenon_Hd6 zenon_H11f zenon_H12d zenon_H42 zenon_Hdd zenon_H6e zenon_H75.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ].
% 11.15/11.35 apply (zenon_L718_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ].
% 11.15/11.35 apply (zenon_L89_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ].
% 11.15/11.35 apply (zenon_L98_); trivial.
% 11.15/11.35 apply (zenon_L377_); trivial.
% 11.15/11.35 (* end of lemma zenon_L885_ *)
% 11.15/11.35 assert (zenon_L886_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H135 zenon_H38 zenon_H176 zenon_H145 zenon_H81 zenon_H1c4 zenon_H219 zenon_Hbd zenon_H1d zenon_Hd6 zenon_H2d zenon_H235 zenon_H1a6 zenon_H75 zenon_Hb9 zenon_H225 zenon_Hdd zenon_Hf9 zenon_Hec zenon_Hf8 zenon_He9 zenon_Hf7 zenon_Ha5 zenon_H109 zenon_H171 zenon_H180 zenon_H69 zenon_H88 zenon_H16f zenon_H12e zenon_H12d zenon_H121 zenon_H1a9 zenon_H108 zenon_H6e zenon_H70 zenon_H1ab zenon_Hca zenon_H22.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H23 | zenon_intro zenon_H136 ].
% 11.15/11.35 apply (zenon_L882_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H11f | zenon_intro zenon_H137 ].
% 11.15/11.35 apply (zenon_L89_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H46 | zenon_intro zenon_H89 ].
% 11.15/11.35 apply (zenon_L727_); trivial.
% 11.15/11.35 apply (zenon_L57_); trivial.
% 11.15/11.35 (* end of lemma zenon_L886_ *)
% 11.15/11.35 assert (zenon_L887_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H200 zenon_H104 zenon_H80 zenon_Hca zenon_H81 zenon_H176 zenon_H84 zenon_H9b zenon_H6e zenon_H1ca zenon_H19c zenon_H1f4 zenon_H1a9 zenon_H31.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.35 apply (zenon_L154_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.35 apply (zenon_L44_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.35 apply (zenon_L704_); trivial.
% 11.15/11.35 apply (zenon_L328_); trivial.
% 11.15/11.35 (* end of lemma zenon_L887_ *)
% 11.15/11.35 assert (zenon_L888_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e2)) = (e3))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H1f4 zenon_H150 zenon_H158 zenon_H42 zenon_H84 zenon_H1ca zenon_H7c zenon_H176.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ].
% 11.15/11.35 apply (zenon_L121_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ].
% 11.15/11.35 apply (zenon_L27_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ].
% 11.15/11.35 apply (zenon_L229_); trivial.
% 11.15/11.35 exact (zenon_H176 zenon_H153).
% 11.15/11.35 (* end of lemma zenon_L888_ *)
% 11.15/11.35 assert (zenon_L889_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e2)) = (e3))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H1f4 zenon_Hea zenon_H19c zenon_H156 zenon_H158 zenon_H1ca zenon_H7c zenon_H176.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ].
% 11.15/11.35 apply (zenon_L703_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ].
% 11.15/11.35 apply (zenon_L425_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ].
% 11.15/11.35 apply (zenon_L229_); trivial.
% 11.15/11.35 exact (zenon_H176 zenon_H153).
% 11.15/11.35 (* end of lemma zenon_L889_ *)
% 11.15/11.35 assert (zenon_L890_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H15e zenon_H176 zenon_H1ca zenon_H19c zenon_Hea zenon_H1f4 zenon_H2d zenon_H14f zenon_H169 zenon_H158 zenon_H138 zenon_H163 zenon_H15a zenon_Ha5 zenon_H7c.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.15/11.35 apply (zenon_L889_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.15/11.35 apply (zenon_L213_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.15/11.35 apply (zenon_L811_); trivial.
% 11.15/11.35 apply (zenon_L125_); trivial.
% 11.15/11.35 (* end of lemma zenon_L890_ *)
% 11.15/11.35 assert (zenon_L891_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e3) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (e3))) -> (~((e0) = (e1))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H166 zenon_H125 zenon_H80 zenon_H7c zenon_Ha5 zenon_H15a zenon_H138 zenon_H158 zenon_H169 zenon_H14f zenon_H2d zenon_H1f4 zenon_H1ca zenon_H176 zenon_H15e zenon_Hea zenon_H19c zenon_H165.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.35 apply (zenon_L113_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.35 apply (zenon_L890_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.35 apply (zenon_L703_); trivial.
% 11.15/11.35 exact (zenon_H165 zenon_H68).
% 11.15/11.35 (* end of lemma zenon_L891_ *)
% 11.15/11.35 assert (zenon_L892_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H200 zenon_H104 zenon_H56 zenon_H165 zenon_H19c zenon_H15e zenon_H176 zenon_H1ca zenon_H1f4 zenon_H2d zenon_H14f zenon_H169 zenon_H158 zenon_H138 zenon_H15a zenon_Ha5 zenon_H80 zenon_H125 zenon_H166 zenon_H235 zenon_H1a6 zenon_H123 zenon_H113 zenon_H75 zenon_H7c zenon_Hf7 zenon_H65.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.35 apply (zenon_L154_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.35 exact (zenon_H56 zenon_H24).
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.35 apply (zenon_L891_); trivial.
% 11.15/11.35 apply (zenon_L812_); trivial.
% 11.15/11.35 (* end of lemma zenon_L892_ *)
% 11.15/11.35 assert (zenon_L893_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H20c zenon_H101 zenon_H1a9 zenon_H7c zenon_H70 zenon_H1a6 zenon_H18e zenon_H22e zenon_H1ab zenon_He6 zenon_H1d zenon_H42 zenon_H175.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_He5 | zenon_intro zenon_H20d ].
% 11.15/11.35 apply (zenon_L395_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f | zenon_intro zenon_H20e ].
% 11.15/11.35 exact (zenon_He6 zenon_H1f).
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H57 | zenon_intro zenon_H3d ].
% 11.15/11.35 apply (zenon_L281_); trivial.
% 11.15/11.35 apply (zenon_L284_); trivial.
% 11.15/11.35 (* end of lemma zenon_L893_ *)
% 11.15/11.35 assert (zenon_L894_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (e3))) -> (~((e0) = (e1))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H1da zenon_H41 zenon_H113 zenon_H180 zenon_Hf7 zenon_H1a6 zenon_H235 zenon_H1dd zenon_H1d4 zenon_H125 zenon_Ha1 zenon_H38 zenon_H244 zenon_H1d zenon_He6 zenon_H1ab zenon_H22e zenon_H70 zenon_H20c zenon_H1a9 zenon_Hb9 zenon_H1ae zenon_Hd6 zenon_H166 zenon_H80 zenon_H15a zenon_H138 zenon_H158 zenon_H169 zenon_H14f zenon_H2d zenon_H1f4 zenon_H1ca zenon_H176 zenon_H15e zenon_H19c zenon_H165 zenon_H56 zenon_H104 zenon_H200 zenon_H75 zenon_H149 zenon_H65 zenon_H12d zenon_H14e zenon_H19e zenon_Ha5 zenon_H42 zenon_H7c zenon_H69.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.35 apply (zenon_L11_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.35 exact (zenon_He6 zenon_H1f).
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.35 apply (zenon_L892_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.35 apply (zenon_L154_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.35 exact (zenon_H56 zenon_H24).
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.35 apply (zenon_L891_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.35 exact (zenon_He6 zenon_H1f).
% 11.15/11.35 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ].
% 11.15/11.35 apply (zenon_L428_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ].
% 11.15/11.35 apply (zenon_L257_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ].
% 11.15/11.35 apply (zenon_L20_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H101 | zenon_intro zenon_H245 ].
% 11.15/11.35 apply (zenon_L893_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H246 ].
% 11.15/11.35 apply (zenon_L841_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ].
% 11.15/11.35 apply (zenon_L67_); trivial.
% 11.15/11.35 apply (zenon_L854_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.35 apply (zenon_L280_); trivial.
% 11.15/11.35 apply (zenon_L816_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.35 apply (zenon_L807_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.35 apply (zenon_L36_); trivial.
% 11.15/11.35 apply (zenon_L186_); trivial.
% 11.15/11.35 (* end of lemma zenon_L894_ *)
% 11.15/11.35 assert (zenon_L895_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e2)) = (e3))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H1f4 zenon_He3 zenon_H84 zenon_H14f zenon_H169 zenon_H158 zenon_H138 zenon_H163 zenon_H15a zenon_H1ca zenon_H7c zenon_H176.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ].
% 11.15/11.35 apply (zenon_L157_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ].
% 11.15/11.35 apply (zenon_L811_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ].
% 11.15/11.35 apply (zenon_L229_); trivial.
% 11.15/11.35 exact (zenon_H176 zenon_H153).
% 11.15/11.35 (* end of lemma zenon_L895_ *)
% 11.15/11.35 assert (zenon_L896_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H166 zenon_Hec zenon_H65 zenon_H14e zenon_H235 zenon_H1a6 zenon_H113 zenon_H75 zenon_Hf7 zenon_H125 zenon_H127 zenon_H1dd zenon_H56 zenon_Hc5 zenon_H200 zenon_H176 zenon_H7c zenon_H1ca zenon_H15a zenon_H138 zenon_H158 zenon_H169 zenon_H14f zenon_H1f4 zenon_He3 zenon_H84 zenon_H165.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.35 apply (zenon_L820_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.35 apply (zenon_L895_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.35 apply (zenon_L157_); trivial.
% 11.15/11.35 exact (zenon_H165 zenon_H68).
% 11.15/11.35 (* end of lemma zenon_L896_ *)
% 11.15/11.35 assert (zenon_L897_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_He1 zenon_Hf0 zenon_H84 zenon_H24d zenon_H186 zenon_H10d zenon_H1dd zenon_H65 zenon_Hdd.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ].
% 11.15/11.35 apply (zenon_L157_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ].
% 11.15/11.35 apply (zenon_L511_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ].
% 11.15/11.35 apply (zenon_L512_); trivial.
% 11.15/11.35 apply (zenon_L51_); trivial.
% 11.15/11.35 (* end of lemma zenon_L897_ *)
% 11.15/11.35 assert (zenon_L898_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H1c4 zenon_H14f zenon_H89 zenon_H132 zenon_H176 zenon_H7c zenon_H149.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1c6 ].
% 11.15/11.35 exact (zenon_H14f zenon_Hc4).
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H133 | zenon_intro zenon_H1c7 ].
% 11.15/11.35 apply (zenon_L91_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H153 | zenon_intro zenon_H73 ].
% 11.15/11.35 exact (zenon_H176 zenon_H153).
% 11.15/11.35 apply (zenon_L854_); trivial.
% 11.15/11.35 (* end of lemma zenon_L898_ *)
% 11.15/11.35 assert (zenon_L899_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H172 zenon_H41 zenon_H9b zenon_H38 zenon_H186 zenon_H65 zenon_Hdd zenon_H1c4 zenon_H14f zenon_H132 zenon_H176 zenon_H149 zenon_H14b zenon_H14e zenon_H7c zenon_H169.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.35 apply (zenon_L318_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.35 apply (zenon_L457_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.35 apply (zenon_L898_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.35 apply (zenon_L51_); trivial.
% 11.15/11.35 apply (zenon_L295_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.35 exact (zenon_H14e zenon_H103).
% 11.15/11.35 apply (zenon_L133_); trivial.
% 11.15/11.35 (* end of lemma zenon_L899_ *)
% 11.15/11.35 assert (zenon_L900_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (e3))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H1da zenon_H32 zenon_He6 zenon_H113 zenon_H166 zenon_H125 zenon_Ha5 zenon_H15a zenon_H138 zenon_H169 zenon_H14f zenon_H2d zenon_H15e zenon_H165 zenon_H200 zenon_H104 zenon_H80 zenon_H56 zenon_H176 zenon_H1ca zenon_H158 zenon_H19c zenon_H1f4 zenon_H235 zenon_H1a6 zenon_H186 zenon_Hb9 zenon_H75 zenon_H7c zenon_Hf7 zenon_H65.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.35 apply (zenon_L158_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.35 exact (zenon_He6 zenon_H1f).
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.35 apply (zenon_L892_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.35 apply (zenon_L154_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.35 exact (zenon_H56 zenon_H24).
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.35 apply (zenon_L889_); trivial.
% 11.15/11.35 apply (zenon_L840_); trivial.
% 11.15/11.35 (* end of lemma zenon_L900_ *)
% 11.15/11.35 assert (zenon_L901_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H127 zenon_H165 zenon_H19c zenon_Hea zenon_H15e zenon_H176 zenon_H1ca zenon_H1f4 zenon_H2d zenon_H14f zenon_H169 zenon_H158 zenon_H138 zenon_H15a zenon_Ha5 zenon_H7c zenon_H125 zenon_H166 zenon_H1e zenon_H122 zenon_H14e zenon_H65 zenon_Hec.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ].
% 11.15/11.35 apply (zenon_L891_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ].
% 11.15/11.35 apply (zenon_L83_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ].
% 11.15/11.35 exact (zenon_H14e zenon_H103).
% 11.15/11.35 apply (zenon_L246_); trivial.
% 11.15/11.35 (* end of lemma zenon_L901_ *)
% 11.15/11.35 assert (zenon_L902_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.15/11.35 do 0 intro. intros zenon_H135 zenon_He3 zenon_H241 zenon_H22 zenon_H3f zenon_H75 zenon_H65 zenon_H12d zenon_H14e zenon_H19e zenon_H1c4 zenon_H14f zenon_H132 zenon_H176 zenon_H7c zenon_H149.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H23 | zenon_intro zenon_H136 ].
% 11.15/11.35 apply (zenon_L459_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H11f | zenon_intro zenon_H137 ].
% 11.15/11.35 apply (zenon_L380_); trivial.
% 11.15/11.35 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H46 | zenon_intro zenon_H89 ].
% 11.15/11.35 apply (zenon_L807_); trivial.
% 11.15/11.35 apply (zenon_L898_); trivial.
% 11.15/11.36 (* end of lemma zenon_L902_ *)
% 11.15/11.36 assert (zenon_L903_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False).
% 11.15/11.36 do 0 intro. intros zenon_He1 zenon_H149 zenon_H7c zenon_H176 zenon_H132 zenon_H14f zenon_H1c4 zenon_H19e zenon_H14e zenon_H12d zenon_H75 zenon_H3f zenon_H22 zenon_H241 zenon_H135 zenon_H24d zenon_H186 zenon_H10d zenon_H1dd zenon_H65 zenon_Hdd.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ].
% 11.15/11.36 apply (zenon_L902_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ].
% 11.15/11.36 apply (zenon_L511_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ].
% 11.15/11.36 apply (zenon_L512_); trivial.
% 11.15/11.36 apply (zenon_L51_); trivial.
% 11.15/11.36 (* end of lemma zenon_L903_ *)
% 11.15/11.36 assert (zenon_L904_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 11.15/11.36 do 0 intro. intros zenon_H127 zenon_H150 zenon_H125 zenon_H156 zenon_H14e zenon_H65 zenon_Hec.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ].
% 11.15/11.36 apply (zenon_L113_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ].
% 11.15/11.36 apply (zenon_L428_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ].
% 11.15/11.36 exact (zenon_H14e zenon_H103).
% 11.15/11.36 apply (zenon_L246_); trivial.
% 11.15/11.36 (* end of lemma zenon_L904_ *)
% 11.15/11.36 assert (zenon_L905_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 11.15/11.36 do 0 intro. intros zenon_H135 zenon_H31 zenon_H12c zenon_H22 zenon_H3f zenon_H130 zenon_H12d zenon_H132 zenon_H133.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H23 | zenon_intro zenon_H136 ].
% 11.15/11.36 apply (zenon_L88_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H11f | zenon_intro zenon_H137 ].
% 11.15/11.36 apply (zenon_L380_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H46 | zenon_intro zenon_H89 ].
% 11.15/11.36 apply (zenon_L90_); trivial.
% 11.15/11.36 apply (zenon_L91_); trivial.
% 11.15/11.36 (* end of lemma zenon_L905_ *)
% 11.15/11.36 assert (zenon_L906_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.15/11.36 do 0 intro. intros zenon_H1c4 zenon_H14f zenon_H132 zenon_H12d zenon_H130 zenon_H3f zenon_H22 zenon_H12c zenon_H31 zenon_H135 zenon_H176 zenon_H7c zenon_H149.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1c6 ].
% 11.15/11.36 exact (zenon_H14f zenon_Hc4).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H133 | zenon_intro zenon_H1c7 ].
% 11.15/11.36 apply (zenon_L905_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H153 | zenon_intro zenon_H73 ].
% 11.15/11.36 exact (zenon_H176 zenon_H153).
% 11.15/11.36 apply (zenon_L854_); trivial.
% 11.15/11.36 (* end of lemma zenon_L906_ *)
% 11.15/11.36 assert (zenon_L907_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.36 do 0 intro. intros zenon_H19e zenon_H14e zenon_H176 zenon_H135 zenon_H31 zenon_H12c zenon_H22 zenon_H3f zenon_H12d zenon_H132 zenon_H14f zenon_H1c4 zenon_H65 zenon_H149 zenon_H7c zenon_H75.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.36 exact (zenon_H14e zenon_H103).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.36 apply (zenon_L906_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.36 apply (zenon_L137_); trivial.
% 11.15/11.36 apply (zenon_L586_); trivial.
% 11.15/11.36 (* end of lemma zenon_L907_ *)
% 11.15/11.36 assert (zenon_L908_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.15/11.36 do 0 intro. intros zenon_H200 zenon_H104 zenon_H56 zenon_H165 zenon_H19c zenon_H15e zenon_H176 zenon_H1ca zenon_H1f4 zenon_H2d zenon_H14f zenon_H169 zenon_H158 zenon_H138 zenon_H15a zenon_Ha5 zenon_H7c zenon_H80 zenon_H125 zenon_H166 zenon_H1a9 zenon_H31.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.36 apply (zenon_L154_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.36 exact (zenon_H56 zenon_H24).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.36 apply (zenon_L891_); trivial.
% 11.15/11.36 apply (zenon_L328_); trivial.
% 11.15/11.36 (* end of lemma zenon_L908_ *)
% 11.15/11.36 assert (zenon_L909_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (e3))) -> (~((e0) = (e1))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 11.15/11.36 do 0 intro. intros zenon_H127 zenon_H31 zenon_H1a9 zenon_H166 zenon_H125 zenon_H7c zenon_Ha5 zenon_H15a zenon_H138 zenon_H158 zenon_H169 zenon_H14f zenon_H2d zenon_H1f4 zenon_H1ca zenon_H176 zenon_H15e zenon_H19c zenon_H165 zenon_H56 zenon_H104 zenon_H200 zenon_H18e zenon_H113 zenon_H14e zenon_H65 zenon_Hec.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ].
% 11.15/11.36 apply (zenon_L908_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ].
% 11.15/11.36 apply (zenon_L170_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ].
% 11.15/11.36 exact (zenon_H14e zenon_H103).
% 11.15/11.36 apply (zenon_L246_); trivial.
% 11.15/11.36 (* end of lemma zenon_L909_ *)
% 11.15/11.36 assert (zenon_L910_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False).
% 11.15/11.36 do 0 intro. intros zenon_H198 zenon_H1e zenon_H32 zenon_H10e zenon_Hc3 zenon_Hec zenon_H65 zenon_H14e zenon_H113 zenon_H200 zenon_H104 zenon_H56 zenon_H165 zenon_H19c zenon_H15e zenon_H176 zenon_H1ca zenon_H1f4 zenon_H2d zenon_H14f zenon_H169 zenon_H158 zenon_H138 zenon_H15a zenon_H125 zenon_H166 zenon_H1a9 zenon_H31 zenon_H127 zenon_Ha5 zenon_H7c.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ].
% 11.15/11.36 apply (zenon_L158_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ].
% 11.15/11.36 apply (zenon_L317_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ].
% 11.15/11.36 apply (zenon_L909_); trivial.
% 11.15/11.36 apply (zenon_L125_); trivial.
% 11.15/11.36 (* end of lemma zenon_L910_ *)
% 11.15/11.36 assert (zenon_L911_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.15/11.36 do 0 intro. intros zenon_H200 zenon_H104 zenon_H80 zenon_H56 zenon_H176 zenon_H7c zenon_H1ca zenon_H158 zenon_H156 zenon_H19c zenon_H1f4 zenon_H1a9 zenon_H31.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.36 apply (zenon_L154_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.36 exact (zenon_H56 zenon_H24).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.36 apply (zenon_L889_); trivial.
% 11.15/11.36 apply (zenon_L328_); trivial.
% 11.15/11.36 (* end of lemma zenon_L911_ *)
% 11.15/11.36 assert (zenon_L912_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 11.15/11.36 do 0 intro. intros zenon_H127 zenon_H31 zenon_H1a9 zenon_H1f4 zenon_H19c zenon_H158 zenon_H1ca zenon_H7c zenon_H176 zenon_H56 zenon_H104 zenon_H200 zenon_H125 zenon_H156 zenon_H14e zenon_H65 zenon_Hec.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ].
% 11.15/11.36 apply (zenon_L911_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ].
% 11.15/11.36 apply (zenon_L428_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ].
% 11.15/11.36 exact (zenon_H14e zenon_H103).
% 11.15/11.36 apply (zenon_L246_); trivial.
% 11.15/11.36 (* end of lemma zenon_L912_ *)
% 11.15/11.36 assert (zenon_L913_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False).
% 11.15/11.36 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_H149 zenon_H1c4 zenon_H14f zenon_H132 zenon_H12d zenon_H22 zenon_H12c zenon_H135 zenon_H176 zenon_H14e zenon_H19e zenon_H42 zenon_H1dd zenon_H235 zenon_H31 zenon_Hb9 zenon_H1a6 zenon_H75 zenon_H7c zenon_Hf7 zenon_H65.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.36 exact (zenon_He6 zenon_H1f).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.36 apply (zenon_L907_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.36 apply (zenon_L280_); trivial.
% 11.15/11.36 apply (zenon_L821_); trivial.
% 11.15/11.36 (* end of lemma zenon_L913_ *)
% 11.15/11.36 assert (zenon_L914_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.15/11.36 do 0 intro. intros zenon_H180 zenon_H109 zenon_H65 zenon_Hdd zenon_H117 zenon_H1ca zenon_H149 zenon_H20f zenon_Hcc zenon_H1b9 zenon_H1dd zenon_H84 zenon_H2c zenon_H41 zenon_He1 zenon_H67 zenon_H1f0 zenon_H24d zenon_Hbe zenon_H81 zenon_H14b zenon_H1ab zenon_H1a6 zenon_H70 zenon_H1a9 zenon_H22e zenon_H1f zenon_H38 zenon_H198 zenon_Hb9 zenon_H1ae zenon_H15d zenon_Hd3 zenon_Hf7 zenon_H75 zenon_H235 zenon_H32 zenon_H1cd zenon_Ha5 zenon_H42 zenon_H7c zenon_H69.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.36 apply (zenon_L312_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.36 apply (zenon_L851_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.36 apply (zenon_L36_); trivial.
% 11.15/11.36 apply (zenon_L186_); trivial.
% 11.15/11.36 (* end of lemma zenon_L914_ *)
% 11.15/11.36 assert (zenon_L915_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.15/11.36 do 0 intro. intros zenon_H1c4 zenon_H38 zenon_H156 zenon_H145 zenon_H176 zenon_H7c zenon_H149.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1c6 ].
% 11.15/11.36 apply (zenon_L239_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H133 | zenon_intro zenon_H1c7 ].
% 11.15/11.36 exact (zenon_H145 zenon_H133).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H153 | zenon_intro zenon_H73 ].
% 11.15/11.36 exact (zenon_H176 zenon_H153).
% 11.15/11.36 apply (zenon_L854_); trivial.
% 11.15/11.36 (* end of lemma zenon_L915_ *)
% 11.15/11.36 assert (zenon_L916_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.15/11.36 do 0 intro. intros zenon_H1da zenon_H2a zenon_H69 zenon_H42 zenon_H1cd zenon_H32 zenon_H235 zenon_Hf7 zenon_Hd3 zenon_H15d zenon_H1ae zenon_Hb9 zenon_H198 zenon_H22e zenon_H1a9 zenon_H70 zenon_H1a6 zenon_H1ab zenon_H14b zenon_H81 zenon_Hbe zenon_H24d zenon_H1f0 zenon_H67 zenon_He1 zenon_H41 zenon_H2c zenon_H84 zenon_H1dd zenon_H1b9 zenon_Hcc zenon_H20f zenon_H1ca zenon_H117 zenon_Hdd zenon_H109 zenon_H180 zenon_H75 zenon_H65 zenon_H1f3 zenon_Ha5 zenon_H19e zenon_H1c4 zenon_H38 zenon_H145 zenon_H176 zenon_H7c zenon_H149.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.36 exact (zenon_H2a zenon_H1e).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.36 apply (zenon_L914_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.36 apply (zenon_L853_); trivial.
% 11.15/11.36 apply (zenon_L915_); trivial.
% 11.15/11.36 (* end of lemma zenon_L916_ *)
% 11.15/11.36 assert (zenon_L917_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e1)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False).
% 11.15/11.36 do 0 intro. intros zenon_H20f zenon_H10e zenon_H1a7 zenon_H1f zenon_H1f0 zenon_Hdd zenon_H1dd zenon_H84 zenon_H85 zenon_H2c zenon_H41 zenon_He1 zenon_H65 zenon_Hcc.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_Hea | zenon_intro zenon_H210 ].
% 11.15/11.36 apply (zenon_L537_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H211 ].
% 11.15/11.36 apply (zenon_L305_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H10d | zenon_intro zenon_Hcb ].
% 11.15/11.36 apply (zenon_L845_); trivial.
% 11.15/11.36 apply (zenon_L45_); trivial.
% 11.15/11.36 (* end of lemma zenon_L917_ *)
% 11.15/11.36 assert (zenon_L918_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False).
% 11.15/11.36 do 0 intro. intros zenon_H1cd zenon_H32 zenon_H85 zenon_H10e zenon_H15d zenon_H1ae zenon_Hb9 zenon_H69 zenon_H198 zenon_H38 zenon_H1f zenon_H22e zenon_H1a9 zenon_H70 zenon_H1a6 zenon_H1ab zenon_H14b zenon_H81 zenon_Hbe zenon_H24d zenon_H1f0 zenon_H67 zenon_He1 zenon_H41 zenon_H2c zenon_H84 zenon_H1dd zenon_H1b9 zenon_Hcc zenon_H20f zenon_H149 zenon_H1ca zenon_Ha5 zenon_H117 zenon_Hdd zenon_H65 zenon_H109 zenon_H7c.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H31 | zenon_intro zenon_H1ce ].
% 11.15/11.36 apply (zenon_L6_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1cf ].
% 11.15/11.36 apply (zenon_L917_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hba | zenon_intro zenon_H68 ].
% 11.15/11.36 apply (zenon_L850_); trivial.
% 11.15/11.36 apply (zenon_L129_); trivial.
% 11.15/11.36 (* end of lemma zenon_L918_ *)
% 11.15/11.36 assert (zenon_L919_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.15/11.36 do 0 intro. intros zenon_H1da zenon_H2a zenon_H2d zenon_He5 zenon_H75 zenon_H65 zenon_H1f3 zenon_Ha5 zenon_H19e zenon_H1c4 zenon_H38 zenon_H145 zenon_H176 zenon_H7c zenon_H149.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.36 exact (zenon_H2a zenon_H1e).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.36 apply (zenon_L56_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.36 apply (zenon_L853_); trivial.
% 11.15/11.36 apply (zenon_L915_); trivial.
% 11.15/11.36 (* end of lemma zenon_L919_ *)
% 11.15/11.36 assert (zenon_L920_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.15/11.36 do 0 intro. intros zenon_H1c4 zenon_H81 zenon_H150 zenon_H145 zenon_H176 zenon_H7c zenon_H149.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1c6 ].
% 11.15/11.36 apply (zenon_L116_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H133 | zenon_intro zenon_H1c7 ].
% 11.15/11.36 exact (zenon_H145 zenon_H133).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H153 | zenon_intro zenon_H73 ].
% 11.15/11.36 exact (zenon_H176 zenon_H153).
% 11.15/11.36 apply (zenon_L854_); trivial.
% 11.15/11.36 (* end of lemma zenon_L920_ *)
% 11.15/11.36 assert (zenon_L921_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e1)) = (e2))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.15/11.36 do 0 intro. intros zenon_H16f zenon_H32 zenon_H31 zenon_H38 zenon_Ha5 zenon_H2d zenon_H2a zenon_H1da zenon_H75 zenon_H65 zenon_H1f3 zenon_H109 zenon_H19e zenon_H1c4 zenon_H81 zenon_H145 zenon_H176 zenon_H7c zenon_H149.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.36 apply (zenon_L6_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.36 apply (zenon_L919_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.36 apply (zenon_L856_); trivial.
% 11.15/11.36 apply (zenon_L920_); trivial.
% 11.15/11.36 (* end of lemma zenon_L921_ *)
% 11.15/11.36 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H265. zenon_intro zenon_H275.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H135. zenon_intro zenon_H276.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_He1. zenon_intro zenon_H277.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H1ae. zenon_intro zenon_H278.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H20c. zenon_intro zenon_H279.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H1f9. zenon_intro zenon_H27a.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H20f. zenon_intro zenon_H27b.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H1ab. zenon_intro zenon_H27c.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H127. zenon_intro zenon_H27d.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H269. zenon_intro zenon_H27e.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_Hf8. zenon_intro zenon_H27f.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H235. zenon_intro zenon_H280.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H15a. zenon_intro zenon_H281.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H170. zenon_intro zenon_H282.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H1f4. zenon_intro zenon_H78.
% 11.15/11.36 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H173. zenon_intro zenon_H283.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H16f. zenon_intro zenon_H284.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H219. zenon_intro zenon_H285.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H1da. zenon_intro zenon_H286.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H180. zenon_intro zenon_H287.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H172. zenon_intro zenon_H288.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H14b. zenon_intro zenon_H289.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hd9. zenon_intro zenon_H28a.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H200. zenon_intro zenon_H28b.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1fc. zenon_intro zenon_H28c.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_Hd6. zenon_intro zenon_H28d.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H146. zenon_intro zenon_H28e.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H117. zenon_intro zenon_H28f.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H13a. zenon_intro zenon_H290.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Hd3. zenon_intro zenon_H291.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H13b. zenon_intro zenon_H292.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_Hbc. zenon_intro zenon_H293.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_Hfd. zenon_intro zenon_H294.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H1d4. zenon_intro zenon_H295.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_Hbe. zenon_intro zenon_H296.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H19e. zenon_intro zenon_H297.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H1b9. zenon_intro zenon_H298.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H7d. zenon_intro zenon_H299.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H225. zenon_intro zenon_H29a.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_H166. zenon_intro zenon_H29b.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H1cd. zenon_intro zenon_H29c.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H15e. zenon_intro zenon_H29d.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H198. zenon_intro zenon_H29e.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H9e. zenon_intro zenon_H29f.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H119. zenon_intro zenon_H2a0.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H1c4. zenon_intro zenon_H244.
% 11.15/11.36 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H1d. zenon_intro zenon_H2a1.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H122. zenon_intro zenon_H2a2.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H155. zenon_intro zenon_H2a3.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H104. zenon_intro zenon_H2a4.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_Hc5. zenon_intro zenon_H2a5.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H125. zenon_intro zenon_H2a6.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H22. zenon_intro zenon_H2a7.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H12d. zenon_intro zenon_H2a8.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H132. zenon_intro zenon_H2a9.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_Ha1. zenon_intro zenon_H2aa.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H162. zenon_intro zenon_H2ab.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H2ad. zenon_intro zenon_H2ac.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H1dd. zenon_intro zenon_H2ae.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_Hdd. zenon_intro zenon_H2af.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H84. zenon_intro zenon_H2b0.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_Hcc. zenon_intro zenon_H2b1.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H19c. zenon_intro zenon_H2b2.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Hf5. zenon_intro zenon_H2b3.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H1a9. zenon_intro zenon_H2b4.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_Hb9. zenon_intro zenon_H2b5.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H69. zenon_intro zenon_H2b6.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H1a6. zenon_intro zenon_H2b7.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H70. zenon_intro zenon_H2b8.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H75. zenon_intro zenon_H2b9.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H88. zenon_intro zenon_H2ba.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H41. zenon_intro zenon_H2bb.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H32. zenon_intro zenon_H2bc.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H241. zenon_intro zenon_H2bd.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H12c. zenon_intro zenon_H2be.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H24d. zenon_intro zenon_H2bf.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H1f7. zenon_intro zenon_H2c0.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H1f0. zenon_intro zenon_H2c1.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H22e. zenon_intro zenon_H2c2.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_He9. zenon_intro zenon_H2c3.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H121. zenon_intro zenon_H2c4.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H10e. zenon_intro zenon_H2c5.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H12a. zenon_intro zenon_H2c6.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_Hec. zenon_intro zenon_H2c7.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H113. zenon_intro zenon_H2c8.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2c8). zenon_intro zenon_H143. zenon_intro zenon_H2c9.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H2cb. zenon_intro zenon_H2ca.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_Hf7. zenon_intro zenon_H2cc.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H138. zenon_intro zenon_H2cd.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H158. zenon_intro zenon_H2ce.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H169. zenon_intro zenon_H2cf.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H140. zenon_intro zenon_H2d0.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H16b. zenon_intro zenon_H1ca.
% 11.15/11.36 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H2d. zenon_intro zenon_H2d1.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H109. zenon_intro zenon_H2d2.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H81. zenon_intro zenon_H2d3.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_Ha5. zenon_intro zenon_H2d4.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H38. zenon_intro zenon_H149.
% 11.15/11.36 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H2d6. zenon_intro zenon_H2d5.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2d7 ].
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H2c. zenon_intro zenon_H2d9.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H26d. zenon_intro zenon_H2c.
% 11.15/11.36 exact (zenon_H26d zenon_H2c).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2db | zenon_intro zenon_H2da ].
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1e. zenon_intro zenon_H2dc.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H24.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ].
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26e. zenon_intro zenon_H2e1.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ].
% 11.15/11.36 exact (zenon_H56 zenon_H24).
% 11.15/11.36 apply (zenon_L1_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e2 ].
% 11.15/11.36 apply (zenon_L3_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H222 | zenon_intro zenon_H25b ].
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H224. zenon_intro zenon_H223.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H254. zenon_intro zenon_H253.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H256. zenon_intro zenon_H255.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H258. zenon_intro zenon_H257.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H16d. zenon_intro zenon_H259.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H174. zenon_intro zenon_H25a.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H256. zenon_intro zenon_H16e.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H171 | zenon_intro zenon_He3 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_Hc3 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfc ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.36 apply (zenon_L5_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.36 exact (zenon_H1fd zenon_H23).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.36 exact (zenon_He0 zenon_He3).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.36 apply (zenon_L6_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.36 exact (zenon_H171 zenon_H175).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.36 exact (zenon_H171 zenon_H175).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.36 apply (zenon_L8_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.36 apply (zenon_L8_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.36 apply (zenon_L9_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.36 apply (zenon_L10_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.36 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.15/11.36 apply (zenon_L52_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.15/11.36 apply (zenon_L35_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.15/11.36 apply (zenon_L55_); trivial.
% 11.15/11.36 apply (zenon_L41_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.36 apply (zenon_L16_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.36 apply (zenon_L56_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.36 apply (zenon_L10_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.36 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.15/11.36 apply (zenon_L43_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.15/11.36 apply (zenon_L57_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.15/11.36 apply (zenon_L46_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.15/11.36 apply (zenon_L35_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.15/11.36 apply (zenon_L55_); trivial.
% 11.15/11.36 apply (zenon_L41_); trivial.
% 11.15/11.36 apply (zenon_L47_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.36 apply (zenon_L58_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.36 apply (zenon_L9_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.36 apply (zenon_L10_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.36 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.15/11.36 apply (zenon_L70_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.15/11.36 apply (zenon_L35_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.15/11.36 apply (zenon_L72_); trivial.
% 11.15/11.36 apply (zenon_L41_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.36 apply (zenon_L16_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.36 apply (zenon_L56_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.36 apply (zenon_L10_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.36 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.15/11.36 apply (zenon_L43_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.15/11.36 apply (zenon_L44_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.15/11.36 apply (zenon_L46_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.15/11.36 apply (zenon_L35_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.15/11.36 apply (zenon_L72_); trivial.
% 11.15/11.36 apply (zenon_L41_); trivial.
% 11.15/11.36 apply (zenon_L47_); trivial.
% 11.15/11.36 apply (zenon_L73_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.36 apply (zenon_L80_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.36 apply (zenon_L8_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.36 apply (zenon_L30_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.36 apply (zenon_L1_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.36 apply (zenon_L10_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.36 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.36 apply (zenon_L103_); trivial.
% 11.15/11.36 apply (zenon_L73_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.36 exact (zenon_H171 zenon_H175).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.36 apply (zenon_L8_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.36 apply (zenon_L28_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.36 apply (zenon_L34_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.36 apply (zenon_L42_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.36 apply (zenon_L56_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.36 apply (zenon_L10_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.36 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.36 apply (zenon_L106_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.36 apply (zenon_L107_); trivial.
% 11.15/11.36 apply (zenon_L73_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.36 apply (zenon_L80_); trivial.
% 11.15/11.36 apply (zenon_L108_); trivial.
% 11.15/11.36 apply (zenon_L75_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.36 exact (zenon_H171 zenon_H175).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.36 exact (zenon_H171 zenon_H175).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.36 apply (zenon_L8_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.36 apply (zenon_L8_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.36 apply (zenon_L9_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.36 apply (zenon_L10_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.36 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.36 apply (zenon_L52_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.36 apply (zenon_L16_); trivial.
% 11.15/11.36 apply (zenon_L49_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.36 apply (zenon_L58_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.36 apply (zenon_L9_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.36 apply (zenon_L10_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.36 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.36 apply (zenon_L70_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.36 apply (zenon_L26_); trivial.
% 11.15/11.36 apply (zenon_L49_); trivial.
% 11.15/11.36 apply (zenon_L73_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.36 apply (zenon_L109_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.36 apply (zenon_L8_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.36 apply (zenon_L30_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.36 apply (zenon_L111_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.36 apply (zenon_L10_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.36 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.36 apply (zenon_L112_); trivial.
% 11.15/11.36 apply (zenon_L73_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.36 exact (zenon_H171 zenon_H175).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.36 apply (zenon_L8_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.36 apply (zenon_L50_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.36 apply (zenon_L107_); trivial.
% 11.15/11.36 apply (zenon_L73_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.36 apply (zenon_L109_); trivial.
% 11.15/11.36 apply (zenon_L108_); trivial.
% 11.15/11.36 apply (zenon_L75_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.36 exact (zenon_H171 zenon_H175).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.36 exact (zenon_H171 zenon_H175).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.36 apply (zenon_L8_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.36 apply (zenon_L115_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.36 apply (zenon_L16_); trivial.
% 11.15/11.36 apply (zenon_L116_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.36 apply (zenon_L8_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.36 apply (zenon_L117_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.36 apply (zenon_L16_); trivial.
% 11.15/11.36 apply (zenon_L116_); trivial.
% 11.15/11.36 apply (zenon_L118_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.36 exact (zenon_H171 zenon_H175).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.36 apply (zenon_L8_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.36 apply (zenon_L28_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.36 apply (zenon_L115_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.36 apply (zenon_L42_); trivial.
% 11.15/11.36 apply (zenon_L116_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.36 apply (zenon_L107_); trivial.
% 11.15/11.36 apply (zenon_L73_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.36 apply (zenon_L8_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.36 apply (zenon_L28_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.36 apply (zenon_L117_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.36 apply (zenon_L42_); trivial.
% 11.15/11.36 apply (zenon_L116_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.36 apply (zenon_L107_); trivial.
% 11.15/11.36 apply (zenon_L73_); trivial.
% 11.15/11.36 apply (zenon_L118_); trivial.
% 11.15/11.36 apply (zenon_L75_); trivial.
% 11.15/11.36 exact (zenon_H118 zenon_H11c).
% 11.15/11.36 exact (zenon_H171 zenon_H175).
% 11.15/11.36 apply (zenon_L136_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.36 apply (zenon_L5_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.36 exact (zenon_H1fd zenon_H23).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.36 exact (zenon_He0 zenon_He3).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.36 apply (zenon_L6_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.36 apply (zenon_L56_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.36 apply (zenon_L10_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.36 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.36 apply (zenon_L141_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.36 exact (zenon_H171 zenon_H175).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.36 apply (zenon_L8_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.36 apply (zenon_L142_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.36 apply (zenon_L26_); trivial.
% 11.15/11.36 apply (zenon_L49_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.36 apply (zenon_L143_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.36 apply (zenon_L8_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.36 apply (zenon_L30_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.36 apply (zenon_L58_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.36 apply (zenon_L142_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.36 apply (zenon_L26_); trivial.
% 11.15/11.36 apply (zenon_L110_); trivial.
% 11.15/11.36 apply (zenon_L73_); trivial.
% 11.15/11.36 apply (zenon_L146_); trivial.
% 11.15/11.36 exact (zenon_H118 zenon_H11c).
% 11.15/11.36 exact (zenon_H171 zenon_H175).
% 11.15/11.36 apply (zenon_L148_); trivial.
% 11.15/11.36 apply (zenon_L150_); trivial.
% 11.15/11.36 apply (zenon_L152_); trivial.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25d. zenon_intro zenon_H25c.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H272. zenon_intro zenon_H271.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H23b. zenon_intro zenon_H274.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H2e4. zenon_intro zenon_H2e3.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H1d8. zenon_intro zenon_H2e5.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H1d7. zenon_intro zenon_H2e6.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H238. zenon_intro zenon_H2e4.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H3c | zenon_intro zenon_H31 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1cc | zenon_intro zenon_H6f ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H114 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.36 apply (zenon_L5_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.36 exact (zenon_H1fd zenon_H23).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.36 apply (zenon_L153_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.15/11.36 apply (zenon_L154_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.15/11.36 apply (zenon_L35_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.15/11.36 apply (zenon_L155_); trivial.
% 11.15/11.36 apply (zenon_L222_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.36 apply (zenon_L151_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.36 apply (zenon_L1_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.36 apply (zenon_L10_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.36 apply (zenon_L168_); trivial.
% 11.15/11.36 exact (zenon_H199 zenon_H6f).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.36 apply (zenon_L206_); trivial.
% 11.15/11.36 apply (zenon_L219_); trivial.
% 11.15/11.36 apply (zenon_L220_); trivial.
% 11.15/11.36 exact (zenon_H1af zenon_H31).
% 11.15/11.36 exact (zenon_H1a4 zenon_H65).
% 11.15/11.36 exact (zenon_H1cc zenon_Hca).
% 11.15/11.36 exact (zenon_H3c zenon_H37).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H73 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ].
% 11.15/11.36 exact (zenon_H19f zenon_H114).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.36 apply (zenon_L5_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.36 exact (zenon_H1fd zenon_H23).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.36 apply (zenon_L151_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.36 apply (zenon_L156_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.36 apply (zenon_L249_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.36 apply (zenon_L77_); trivial.
% 11.15/11.36 apply (zenon_L256_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.36 apply (zenon_L206_); trivial.
% 11.15/11.36 apply (zenon_L227_); trivial.
% 11.15/11.36 exact (zenon_H1af zenon_H31).
% 11.15/11.36 exact (zenon_H1cc zenon_Hca).
% 11.15/11.36 exact (zenon_H3c zenon_H37).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ].
% 11.15/11.36 exact (zenon_H19f zenon_H114).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.36 apply (zenon_L5_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.36 exact (zenon_H1fd zenon_H23).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.36 apply (zenon_L1_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.36 apply (zenon_L260_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.36 apply (zenon_L266_); trivial.
% 11.15/11.36 exact (zenon_H199 zenon_H6f).
% 11.15/11.36 exact (zenon_H1af zenon_H31).
% 11.15/11.36 exact (zenon_H1cc zenon_Hca).
% 11.15/11.36 exact (zenon_H3c zenon_H37).
% 11.15/11.36 apply (zenon_L267_); trivial.
% 11.15/11.36 apply (zenon_L268_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H2e7 ].
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H175. zenon_intro zenon_H2e9.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_He0. zenon_intro zenon_Ha9.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ].
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26e. zenon_intro zenon_H2e1.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H273. zenon_intro zenon_H2ea.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H26c. zenon_intro zenon_H2eb.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2ec.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H264. zenon_intro zenon_H2ed.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H1f2. zenon_intro zenon_H268.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H26d | zenon_intro zenon_H2c ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ].
% 11.15/11.36 exact (zenon_Haa zenon_Ha9).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.36 exact (zenon_H26d zenon_H2c).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.36 apply (zenon_L151_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.36 apply (zenon_L269_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.36 apply (zenon_L271_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.36 apply (zenon_L290_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.36 apply (zenon_L65_); trivial.
% 11.15/11.36 exact (zenon_H165 zenon_H68).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.36 apply (zenon_L158_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.36 exact (zenon_He6 zenon_H1f).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.36 apply (zenon_L270_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.36 apply (zenon_L291_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.36 apply (zenon_L292_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.36 apply (zenon_L294_); trivial.
% 11.15/11.36 apply (zenon_L295_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.36 exact (zenon_He0 zenon_He3).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.36 apply (zenon_L151_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.36 apply (zenon_L151_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.36 exact (zenon_He6 zenon_H1f).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.36 apply (zenon_L270_); trivial.
% 11.15/11.36 apply (zenon_L297_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.36 apply (zenon_L11_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.36 exact (zenon_He6 zenon_H1f).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.36 apply (zenon_L270_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.36 exact (zenon_He6 zenon_H1f).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.36 apply (zenon_L74_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.36 apply (zenon_L272_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.36 apply (zenon_L299_); trivial.
% 11.15/11.36 apply (zenon_L279_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.36 apply (zenon_L280_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.36 apply (zenon_L281_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.36 apply (zenon_L300_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.36 apply (zenon_L299_); trivial.
% 11.15/11.36 apply (zenon_L78_); trivial.
% 11.15/11.36 apply (zenon_L301_); trivial.
% 11.15/11.36 exact (zenon_H56 zenon_H24).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ].
% 11.15/11.36 exact (zenon_H14f zenon_Hc4).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.36 exact (zenon_H26d zenon_H2c).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.36 apply (zenon_L151_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.36 apply (zenon_L269_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.36 apply (zenon_L11_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.36 exact (zenon_He6 zenon_H1f).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.36 apply (zenon_L270_); trivial.
% 11.15/11.36 apply (zenon_L239_); trivial.
% 11.15/11.36 apply (zenon_L302_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.36 exact (zenon_He0 zenon_He3).
% 11.15/11.36 apply (zenon_L21_); trivial.
% 11.15/11.36 exact (zenon_H56 zenon_H24).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ].
% 11.15/11.36 exact (zenon_Haa zenon_Ha9).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ].
% 11.15/11.36 exact (zenon_He6 zenon_H1f).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.36 exact (zenon_H26d zenon_H2c).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.36 apply (zenon_L2_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.36 exact (zenon_He0 zenon_He3).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.36 apply (zenon_L1_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.36 apply (zenon_L291_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.36 apply (zenon_L296_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.36 apply (zenon_L58_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.36 apply (zenon_L9_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.15/11.36 apply (zenon_L156_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.15/11.36 apply (zenon_L149_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.15/11.36 apply (zenon_L274_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.15/11.36 apply (zenon_L32_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.15/11.36 apply (zenon_L44_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.15/11.36 apply (zenon_L307_); trivial.
% 11.15/11.36 apply (zenon_L309_); trivial.
% 11.15/11.36 exact (zenon_H14f zenon_Hc4).
% 11.15/11.36 apply (zenon_L73_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.36 apply (zenon_L74_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.36 apply (zenon_L149_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.15/11.36 apply (zenon_L310_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.15/11.36 apply (zenon_L311_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.15/11.36 apply (zenon_L27_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ].
% 11.15/11.36 apply (zenon_L75_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ].
% 11.15/11.36 apply (zenon_L76_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ].
% 11.15/11.36 apply (zenon_L77_); trivial.
% 11.15/11.36 apply (zenon_L125_); trivial.
% 11.15/11.36 apply (zenon_L279_); trivial.
% 11.15/11.36 apply (zenon_L301_); trivial.
% 11.15/11.36 exact (zenon_H165 zenon_H68).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ].
% 11.15/11.36 exact (zenon_He6 zenon_H1f).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ].
% 11.15/11.36 exact (zenon_H14f zenon_Hc4).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.36 exact (zenon_H26d zenon_H2c).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.36 apply (zenon_L2_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.36 exact (zenon_He0 zenon_He3).
% 11.15/11.36 apply (zenon_L21_); trivial.
% 11.15/11.36 apply (zenon_L312_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e2 ].
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H248. zenon_intro zenon_H247.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H21e. zenon_intro zenon_H249.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H221. zenon_intro zenon_H24a.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H21f. zenon_intro zenon_H24b.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H24b). zenon_intro zenon_H248. zenon_intro zenon_H24c.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H21c. zenon_intro zenon_H220.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2a | zenon_intro zenon_H23 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H67 | zenon_intro zenon_H130 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H15d | zenon_intro zenon_H133 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.36 apply (zenon_L312_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.36 exact (zenon_H1fd zenon_H23).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.36 exact (zenon_He0 zenon_He3).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.36 apply (zenon_L6_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.36 exact (zenon_H2a zenon_H1e).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.36 exact (zenon_H2a zenon_H1e).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.36 apply (zenon_L56_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.36 apply (zenon_L291_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.36 apply (zenon_L296_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.36 apply (zenon_L58_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.36 exact (zenon_H1fd zenon_H23).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.36 apply (zenon_L314_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.36 apply (zenon_L56_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.36 exact (zenon_H40 zenon_H3f).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.36 apply (zenon_L281_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ].
% 11.15/11.36 apply (zenon_L107_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ].
% 11.15/11.36 apply (zenon_L273_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ].
% 11.15/11.36 apply (zenon_L315_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.36 apply (zenon_L351_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.36 apply (zenon_L355_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.36 apply (zenon_L65_); trivial.
% 11.15/11.36 apply (zenon_L21_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.36 apply (zenon_L326_); trivial.
% 11.15/11.36 apply (zenon_L357_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.36 apply (zenon_L281_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 11.15/11.36 apply (zenon_L361_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 11.15/11.36 apply (zenon_L317_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 11.15/11.36 exact (zenon_H67 zenon_H66).
% 11.15/11.36 apply (zenon_L362_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.36 apply (zenon_L363_); trivial.
% 11.15/11.36 apply (zenon_L78_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.36 apply (zenon_L9_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.36 exact (zenon_H40 zenon_H3f).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.36 apply (zenon_L281_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ].
% 11.15/11.36 apply (zenon_L318_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ].
% 11.15/11.36 apply (zenon_L364_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ].
% 11.15/11.36 apply (zenon_L315_); trivial.
% 11.15/11.36 apply (zenon_L355_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.36 apply (zenon_L363_); trivial.
% 11.15/11.36 apply (zenon_L357_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.36 apply (zenon_L281_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 11.15/11.36 apply (zenon_L284_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 11.15/11.36 apply (zenon_L317_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 11.15/11.36 exact (zenon_H67 zenon_H66).
% 11.15/11.36 apply (zenon_L353_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.36 apply (zenon_L364_); trivial.
% 11.15/11.36 apply (zenon_L78_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.36 apply (zenon_L350_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.36 apply (zenon_L367_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.36 apply (zenon_L368_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.36 apply (zenon_L65_); trivial.
% 11.15/11.36 apply (zenon_L21_); trivial.
% 11.15/11.36 apply (zenon_L73_); trivial.
% 11.15/11.36 apply (zenon_L297_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.36 apply (zenon_L361_); trivial.
% 11.15/11.36 apply (zenon_L301_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.36 apply (zenon_L60_); trivial.
% 11.15/11.36 apply (zenon_L367_); trivial.
% 11.15/11.36 exact (zenon_H15d zenon_H6e).
% 11.15/11.36 exact (zenon_H67 zenon_H66).
% 11.15/11.36 exact (zenon_H2a zenon_H1e).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ].
% 11.15/11.36 exact (zenon_H145 zenon_H133).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.36 apply (zenon_L312_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.36 exact (zenon_H1fd zenon_H23).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.36 exact (zenon_He0 zenon_He3).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.36 apply (zenon_L6_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.36 exact (zenon_H2a zenon_H1e).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.36 exact (zenon_H2a zenon_H1e).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.36 apply (zenon_L56_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.36 apply (zenon_L291_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.36 apply (zenon_L296_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.36 apply (zenon_L375_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.36 apply (zenon_L244_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.36 apply (zenon_L65_); trivial.
% 11.15/11.36 apply (zenon_L21_); trivial.
% 11.15/11.36 apply (zenon_L73_); trivial.
% 11.15/11.36 apply (zenon_L376_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.36 apply (zenon_L304_); trivial.
% 11.15/11.36 apply (zenon_L237_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.36 apply (zenon_L60_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.36 exact (zenon_H2a zenon_H1e).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.36 exact (zenon_H2a zenon_H1e).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.36 apply (zenon_L378_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.36 apply (zenon_L349_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.36 apply (zenon_L91_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.36 apply (zenon_L375_); trivial.
% 11.15/11.36 apply (zenon_L73_); trivial.
% 11.15/11.36 apply (zenon_L297_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.36 apply (zenon_L304_); trivial.
% 11.15/11.36 apply (zenon_L301_); trivial.
% 11.15/11.36 exact (zenon_H67 zenon_H66).
% 11.15/11.36 exact (zenon_H2a zenon_H1e).
% 11.15/11.36 apply (zenon_L379_); trivial.
% 11.15/11.36 apply (zenon_L384_); trivial.
% 11.15/11.36 apply (zenon_L385_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H222 | zenon_intro zenon_H25b ].
% 11.15/11.36 apply (zenon_L386_); trivial.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25d. zenon_intro zenon_H25c.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H272. zenon_intro zenon_H271.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H23b. zenon_intro zenon_H274.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H2e4. zenon_intro zenon_H2e3.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H1d8. zenon_intro zenon_H2e5.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H1d7. zenon_intro zenon_H2e6.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H238. zenon_intro zenon_H2e4.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H3c | zenon_intro zenon_H31 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1cc | zenon_intro zenon_H6f ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H114 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H73 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.36 apply (zenon_L312_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.36 apply (zenon_L312_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.36 apply (zenon_L151_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.36 apply (zenon_L269_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.36 apply (zenon_L396_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.36 apply (zenon_L158_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.36 apply (zenon_L56_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.36 exact (zenon_H3c zenon_H37).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.36 apply (zenon_L292_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.36 exact (zenon_H3c zenon_H37).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.36 apply (zenon_L56_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.36 apply (zenon_L281_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.36 apply (zenon_L272_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.15/11.36 apply (zenon_L156_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.15/11.36 apply (zenon_L273_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.15/11.36 apply (zenon_L292_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.15/11.36 exact (zenon_H1cc zenon_Hca).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.15/11.36 apply (zenon_L389_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 11.15/11.36 apply (zenon_L284_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 11.15/11.36 apply (zenon_L397_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 11.15/11.36 apply (zenon_L398_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.36 apply (zenon_L423_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.36 apply (zenon_L424_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.36 apply (zenon_L65_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ].
% 11.15/11.36 apply (zenon_L414_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ].
% 11.15/11.36 apply (zenon_L427_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ].
% 11.15/11.36 apply (zenon_L406_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ].
% 11.15/11.36 apply (zenon_L432_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ].
% 11.15/11.36 exact (zenon_H19f zenon_H114).
% 11.15/11.36 apply (zenon_L229_); trivial.
% 11.15/11.36 apply (zenon_L129_); trivial.
% 11.15/11.36 apply (zenon_L437_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.15/11.36 apply (zenon_L388_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.15/11.36 apply (zenon_L277_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.15/11.36 apply (zenon_L292_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.15/11.36 exact (zenon_H1cc zenon_Hca).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.15/11.36 apply (zenon_L389_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ].
% 11.15/11.36 apply (zenon_L107_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ].
% 11.15/11.36 apply (zenon_L76_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ].
% 11.15/11.36 apply (zenon_L139_); trivial.
% 11.15/11.36 apply (zenon_L432_); trivial.
% 11.15/11.36 apply (zenon_L437_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.36 apply (zenon_L440_); trivial.
% 11.15/11.36 exact (zenon_H199 zenon_H6f).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.36 apply (zenon_L350_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.36 apply (zenon_L347_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.36 apply (zenon_L281_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.36 apply (zenon_L272_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.15/11.36 apply (zenon_L292_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.15/11.36 exact (zenon_H1cc zenon_Hca).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.36 apply (zenon_L270_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.36 apply (zenon_L389_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.36 apply (zenon_L140_); trivial.
% 11.15/11.36 exact (zenon_H19f zenon_H114).
% 11.15/11.36 apply (zenon_L426_); trivial.
% 11.15/11.36 apply (zenon_L441_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.36 apply (zenon_L440_); trivial.
% 11.15/11.36 exact (zenon_H199 zenon_H6f).
% 11.15/11.36 apply (zenon_L295_); trivial.
% 11.15/11.36 apply (zenon_L442_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.36 apply (zenon_L60_); trivial.
% 11.15/11.36 apply (zenon_L423_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.36 exact (zenon_He0 zenon_He3).
% 11.15/11.36 exact (zenon_H1af zenon_H31).
% 11.15/11.36 exact (zenon_H1a4 zenon_H65).
% 11.15/11.36 exact (zenon_H1cc zenon_Hca).
% 11.15/11.36 exact (zenon_H3c zenon_H37).
% 11.15/11.36 apply (zenon_L445_); trivial.
% 11.15/11.36 apply (zenon_L446_); trivial.
% 11.15/11.36 apply (zenon_L451_); trivial.
% 11.15/11.36 apply (zenon_L452_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ef | zenon_intro zenon_H2ee ].
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H37. zenon_intro zenon_H2f0.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H1af. zenon_intro zenon_H68.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ].
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26e. zenon_intro zenon_H2e1.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H273. zenon_intro zenon_H2ea.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H26c. zenon_intro zenon_H2eb.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2ec.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H264. zenon_intro zenon_H2ed.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H1f2. zenon_intro zenon_H268.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H26d | zenon_intro zenon_H2c ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ].
% 11.15/11.36 exact (zenon_H165 zenon_H68).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.36 exact (zenon_H26d zenon_H2c).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.36 apply (zenon_L8_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.36 apply (zenon_L269_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.36 apply (zenon_L11_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.36 exact (zenon_He6 zenon_H1f).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.36 apply (zenon_L291_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.36 apply (zenon_L388_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.36 apply (zenon_L36_); trivial.
% 11.15/11.36 apply (zenon_L455_); trivial.
% 11.15/11.36 apply (zenon_L239_); trivial.
% 11.15/11.36 apply (zenon_L458_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.36 apply (zenon_L464_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.36 apply (zenon_L465_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.36 exact (zenon_He6 zenon_H1f).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.36 apply (zenon_L466_); trivial.
% 11.15/11.36 apply (zenon_L239_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.36 apply (zenon_L467_); trivial.
% 11.15/11.36 apply (zenon_L458_); trivial.
% 11.15/11.36 exact (zenon_H1af zenon_H31).
% 11.15/11.36 exact (zenon_Haa zenon_Ha9).
% 11.15/11.36 exact (zenon_H56 zenon_H24).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ].
% 11.15/11.36 exact (zenon_H165 zenon_H68).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.36 apply (zenon_L8_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.36 exact (zenon_He6 zenon_H1f).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.36 apply (zenon_L270_); trivial.
% 11.15/11.36 apply (zenon_L239_); trivial.
% 11.15/11.36 exact (zenon_H56 zenon_H24).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ].
% 11.15/11.36 exact (zenon_H165 zenon_H68).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.36 apply (zenon_L291_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.36 apply (zenon_L224_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.36 exact (zenon_H14e zenon_H103).
% 11.15/11.36 apply (zenon_L110_); trivial.
% 11.15/11.36 exact (zenon_Haa zenon_Ha9).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ].
% 11.15/11.36 exact (zenon_He6 zenon_H1f).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ].
% 11.15/11.36 exact (zenon_H14e zenon_H103).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.36 exact (zenon_H26d zenon_H2c).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.36 apply (zenon_L2_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.36 apply (zenon_L155_); trivial.
% 11.15/11.36 exact (zenon_H1af zenon_H31).
% 11.15/11.36 apply (zenon_L468_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e2 ].
% 11.15/11.36 apply (zenon_L507_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H222 | zenon_intro zenon_H25b ].
% 11.15/11.36 apply (zenon_L547_); trivial.
% 11.15/11.36 apply (zenon_L548_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H2f1 ].
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H24. zenon_intro zenon_H2f3.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_He6. zenon_intro zenon_H1e.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ].
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26e. zenon_intro zenon_H2e1.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ].
% 11.15/11.36 exact (zenon_H56 zenon_H24).
% 11.15/11.36 exact (zenon_He6 zenon_H1f).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e2 ].
% 11.15/11.36 apply (zenon_L3_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H222 | zenon_intro zenon_H25b ].
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H224. zenon_intro zenon_H223.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H254. zenon_intro zenon_H253.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H256. zenon_intro zenon_H255.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H258. zenon_intro zenon_H257.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H16d. zenon_intro zenon_H259.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H174. zenon_intro zenon_H25a.
% 11.15/11.36 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H256. zenon_intro zenon_H16e.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H171 | zenon_intro zenon_He3 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_Hc3 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfc ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.36 apply (zenon_L5_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.36 apply (zenon_L2_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.36 exact (zenon_He0 zenon_He3).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.36 exact (zenon_H171 zenon_H175).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.36 exact (zenon_H171 zenon_H175).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.36 exact (zenon_He6 zenon_H1f).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.36 apply (zenon_L10_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.36 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.36 apply (zenon_L554_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.36 apply (zenon_L552_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.36 apply (zenon_L8_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.36 apply (zenon_L30_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.36 exact (zenon_He6 zenon_H1f).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.36 apply (zenon_L10_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.36 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.36 apply (zenon_L103_); trivial.
% 11.15/11.36 apply (zenon_L73_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.36 exact (zenon_H171 zenon_H175).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.36 apply (zenon_L8_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.36 apply (zenon_L28_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.36 exact (zenon_He6 zenon_H1f).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.36 apply (zenon_L10_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.36 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H11f | zenon_intro zenon_H147 ].
% 11.15/11.36 apply (zenon_L296_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H3f | zenon_intro zenon_H148 ].
% 11.15/11.36 apply (zenon_L82_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H12e | zenon_intro zenon_H141 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.15/11.36 apply (zenon_L554_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.15/11.36 exact (zenon_H118 zenon_H11c).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.15/11.36 apply (zenon_L556_); trivial.
% 11.15/11.36 apply (zenon_L32_); trivial.
% 11.15/11.36 apply (zenon_L561_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.36 apply (zenon_L42_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.36 exact (zenon_He6 zenon_H1f).
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.36 apply (zenon_L10_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.36 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.36 apply (zenon_L106_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.36 apply (zenon_L107_); trivial.
% 11.15/11.36 apply (zenon_L73_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.36 apply (zenon_L562_); trivial.
% 11.15/11.36 apply (zenon_L549_); trivial.
% 11.15/11.36 apply (zenon_L75_); trivial.
% 11.15/11.36 exact (zenon_H118 zenon_H11c).
% 11.15/11.36 exact (zenon_H171 zenon_H175).
% 11.15/11.36 apply (zenon_L136_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ].
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.36 apply (zenon_L5_); trivial.
% 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.36 apply (zenon_L2_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.37 exact (zenon_He0 zenon_He3).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_L10_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.37 apply (zenon_L141_); trivial.
% 11.15/11.37 exact (zenon_H118 zenon_H11c).
% 11.15/11.37 exact (zenon_H171 zenon_H175).
% 11.15/11.37 apply (zenon_L148_); trivial.
% 11.15/11.37 apply (zenon_L150_); trivial.
% 11.15/11.37 apply (zenon_L152_); trivial.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25d. zenon_intro zenon_H25c.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H272. zenon_intro zenon_H271.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H23b. zenon_intro zenon_H274.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H2e4. zenon_intro zenon_H2e3.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H1d8. zenon_intro zenon_H2e5.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H1d7. zenon_intro zenon_H2e6.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H238. zenon_intro zenon_H2e4.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H3c | zenon_intro zenon_H31 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1cc | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H114 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H73 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.37 apply (zenon_L5_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.37 apply (zenon_L2_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.37 apply (zenon_L153_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L151_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.37 apply (zenon_L156_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_L10_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.15/11.37 apply (zenon_L168_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.15/11.37 apply (zenon_L35_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.15/11.37 apply (zenon_L155_); trivial.
% 11.15/11.37 apply (zenon_L569_); trivial.
% 11.15/11.37 exact (zenon_H199 zenon_H6f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_L183_); trivial.
% 11.15/11.37 apply (zenon_L203_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_L10_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.15/11.37 apply (zenon_L109_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.15/11.37 apply (zenon_L35_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.15/11.37 apply (zenon_L155_); trivial.
% 11.15/11.37 apply (zenon_L569_); trivial.
% 11.15/11.37 exact (zenon_H199 zenon_H6f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_L183_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_L10_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_L210_); trivial.
% 11.15/11.37 exact (zenon_H199 zenon_H6f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_L30_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_L183_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_L10_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_L574_); trivial.
% 11.15/11.37 exact (zenon_H199 zenon_H6f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_L206_); trivial.
% 11.15/11.37 apply (zenon_L575_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L151_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_L10_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_L168_); trivial.
% 11.15/11.37 exact (zenon_H199 zenon_H6f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_L206_); trivial.
% 11.15/11.37 apply (zenon_L575_); trivial.
% 11.15/11.37 apply (zenon_L576_); trivial.
% 11.15/11.37 exact (zenon_H1af zenon_H31).
% 11.15/11.37 exact (zenon_H1a4 zenon_H65).
% 11.15/11.37 exact (zenon_H1cc zenon_Hca).
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.37 apply (zenon_L5_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.37 apply (zenon_L2_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.37 apply (zenon_L153_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_L10_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.37 apply (zenon_L127_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.37 apply (zenon_L264_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.37 apply (zenon_L157_); trivial.
% 11.15/11.37 apply (zenon_L265_); trivial.
% 11.15/11.37 exact (zenon_H199 zenon_H6f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L151_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L578_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_L206_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.15/11.37 apply (zenon_L577_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.15/11.37 apply (zenon_L149_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ].
% 11.15/11.37 apply (zenon_L26_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ].
% 11.15/11.37 apply (zenon_L389_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ].
% 11.15/11.37 exact (zenon_H1a4 zenon_H65).
% 11.15/11.37 apply (zenon_L23_); trivial.
% 11.15/11.37 apply (zenon_L32_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.37 apply (zenon_L26_); trivial.
% 11.15/11.37 apply (zenon_L579_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_L183_); trivial.
% 11.15/11.37 apply (zenon_L184_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L151_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L578_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_L206_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_L10_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.15/11.37 apply (zenon_L120_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.15/11.37 apply (zenon_L188_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.15/11.37 apply (zenon_L167_); trivial.
% 11.15/11.37 apply (zenon_L262_); trivial.
% 11.15/11.37 exact (zenon_H199 zenon_H6f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_L183_); trivial.
% 11.15/11.37 apply (zenon_L258_); trivial.
% 11.15/11.37 exact (zenon_H1af zenon_H31).
% 11.15/11.37 exact (zenon_H1cc zenon_Hca).
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H73 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ].
% 11.15/11.37 exact (zenon_H19f zenon_H114).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.37 apply (zenon_L5_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.37 apply (zenon_L2_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L151_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.37 apply (zenon_L156_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_L583_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_L183_); trivial.
% 11.15/11.37 apply (zenon_L248_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_L583_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_L51_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.37 apply (zenon_L74_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.37 apply (zenon_L149_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.37 apply (zenon_L254_); trivial.
% 11.15/11.37 apply (zenon_L231_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.37 apply (zenon_L16_); trivial.
% 11.15/11.37 apply (zenon_L247_); trivial.
% 11.15/11.37 apply (zenon_L256_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_L206_); trivial.
% 11.15/11.37 apply (zenon_L227_); trivial.
% 11.15/11.37 exact (zenon_H1af zenon_H31).
% 11.15/11.37 exact (zenon_H1cc zenon_Hca).
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ].
% 11.15/11.37 exact (zenon_H19f zenon_H114).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.37 apply (zenon_L5_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.37 apply (zenon_L2_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_L260_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_L266_); trivial.
% 11.15/11.37 exact (zenon_H199 zenon_H6f).
% 11.15/11.37 exact (zenon_H1af zenon_H31).
% 11.15/11.37 exact (zenon_H1cc zenon_Hca).
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_L267_); trivial.
% 11.15/11.37 apply (zenon_L268_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H2f4 ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H3f. zenon_intro zenon_H2f6.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H40. zenon_intro zenon_H3f.
% 11.15/11.37 exact (zenon_H40 zenon_H3f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H2f7 ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H11c. zenon_intro zenon_H2f9.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_Hbd. zenon_intro zenon_H66.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26e. zenon_intro zenon_H2e1.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H273. zenon_intro zenon_H2ea.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H26c. zenon_intro zenon_H2eb.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2ec.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H264. zenon_intro zenon_H2ed.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H1f2. zenon_intro zenon_H268.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H26d | zenon_intro zenon_H2c ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.37 exact (zenon_H26d zenon_H2c).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.37 exact (zenon_H26d zenon_H2c).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L151_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L388_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_L272_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.15/11.37 apply (zenon_L621_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.15/11.37 apply (zenon_L515_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.15/11.37 exact (zenon_Haa zenon_Ha9).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ].
% 11.15/11.37 apply (zenon_L206_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ].
% 11.15/11.37 apply (zenon_L352_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ].
% 11.15/11.37 exact (zenon_Haa zenon_Ha9).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.37 exact (zenon_H14e zenon_H103).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.37 apply (zenon_L584_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.37 apply (zenon_L145_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.15/11.37 apply (zenon_L587_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.15/11.37 apply (zenon_L622_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.15/11.37 apply (zenon_L66_); trivial.
% 11.15/11.37 apply (zenon_L22_); trivial.
% 11.15/11.37 apply (zenon_L608_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L269_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L98_); trivial.
% 11.15/11.37 apply (zenon_L614_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.37 apply (zenon_L621_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L151_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L388_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 apply (zenon_L8_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_L292_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_L272_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.37 apply (zenon_L591_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.37 apply (zenon_L127_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.37 exact (zenon_H56 zenon_H24).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.37 apply (zenon_L620_); trivial.
% 11.15/11.37 apply (zenon_L623_); trivial.
% 11.15/11.37 apply (zenon_L608_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L624_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L98_); trivial.
% 11.15/11.37 apply (zenon_L614_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.37 exact (zenon_H26d zenon_H2c).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.37 apply (zenon_L626_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.37 apply (zenon_L615_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_L609_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L624_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L467_); trivial.
% 11.15/11.37 apply (zenon_L614_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.37 exact (zenon_H26d zenon_H2c).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L151_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L253_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 apply (zenon_L8_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ].
% 11.15/11.37 apply (zenon_L627_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ].
% 11.15/11.37 apply (zenon_L352_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ].
% 11.15/11.37 exact (zenon_Haa zenon_Ha9).
% 11.15/11.37 apply (zenon_L629_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.37 apply (zenon_L88_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.37 exact (zenon_H56 zenon_H24).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.37 apply (zenon_L599_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_L272_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.15/11.37 apply (zenon_L600_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.15/11.37 apply (zenon_L599_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.15/11.37 exact (zenon_Haa zenon_Ha9).
% 11.15/11.37 apply (zenon_L41_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.15/11.37 apply (zenon_L285_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.15/11.37 apply (zenon_L288_); trivial.
% 11.15/11.37 apply (zenon_L47_); trivial.
% 11.15/11.37 apply (zenon_L73_); trivial.
% 11.15/11.37 apply (zenon_L75_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L630_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L98_); trivial.
% 11.15/11.37 apply (zenon_L301_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_L602_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L630_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L98_); trivial.
% 11.15/11.37 apply (zenon_L614_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_L631_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L624_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L98_); trivial.
% 11.15/11.37 apply (zenon_L301_); trivial.
% 11.15/11.37 exact (zenon_H165 zenon_H68).
% 11.15/11.37 exact (zenon_Haa zenon_Ha9).
% 11.15/11.37 exact (zenon_H56 zenon_H24).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ].
% 11.15/11.37 exact (zenon_H14f zenon_Hc4).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.37 exact (zenon_H26d zenon_H2c).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L633_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L253_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_L636_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_L272_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 exact (zenon_Hbd zenon_Hc3).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.15/11.37 apply (zenon_L43_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.15/11.37 apply (zenon_L285_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.15/11.37 apply (zenon_L292_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.15/11.37 apply (zenon_L303_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.15/11.37 apply (zenon_L637_); trivial.
% 11.15/11.37 apply (zenon_L426_); trivial.
% 11.15/11.37 apply (zenon_L47_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L638_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L98_); trivial.
% 11.15/11.37 apply (zenon_L614_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.37 apply (zenon_L639_); trivial.
% 11.15/11.37 apply (zenon_L21_); trivial.
% 11.15/11.37 exact (zenon_Haa zenon_Ha9).
% 11.15/11.37 exact (zenon_H56 zenon_H24).
% 11.15/11.37 apply (zenon_L306_); trivial.
% 11.15/11.37 apply (zenon_L640_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_L5_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 apply (zenon_L5_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_L398_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L312_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L81_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_L612_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 apply (zenon_L468_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_L296_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.37 apply (zenon_L58_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.37 apply (zenon_L641_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.37 exact (zenon_H56 zenon_H24).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.37 apply (zenon_L269_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.37 exact (zenon_H56 zenon_H24).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.37 apply (zenon_L599_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.15/11.37 apply (zenon_L336_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.15/11.37 apply (zenon_L321_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.15/11.37 apply (zenon_L637_); trivial.
% 11.15/11.37 apply (zenon_L244_); trivial.
% 11.15/11.37 apply (zenon_L643_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.37 apply (zenon_L641_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.37 exact (zenon_H56 zenon_H24).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.37 apply (zenon_L447_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.37 exact (zenon_H56 zenon_H24).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.37 apply (zenon_L599_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.15/11.37 apply (zenon_L336_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.15/11.37 apply (zenon_L285_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.15/11.37 apply (zenon_L87_); trivial.
% 11.15/11.37 apply (zenon_L244_); trivial.
% 11.15/11.37 apply (zenon_L643_); trivial.
% 11.15/11.37 exact (zenon_H14f zenon_Hc4).
% 11.15/11.37 apply (zenon_L184_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L98_); trivial.
% 11.15/11.37 apply (zenon_L614_); trivial.
% 11.15/11.37 exact (zenon_H165 zenon_H68).
% 11.15/11.37 exact (zenon_Haa zenon_Ha9).
% 11.15/11.37 exact (zenon_H56 zenon_H24).
% 11.15/11.37 apply (zenon_L644_); trivial.
% 11.15/11.37 apply (zenon_L306_); trivial.
% 11.15/11.37 apply (zenon_L640_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e2 ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H248. zenon_intro zenon_H247.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H21e. zenon_intro zenon_H249.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H67 | zenon_intro zenon_H130 ].
% 11.15/11.37 exact (zenon_H67 zenon_H66).
% 11.15/11.37 apply (zenon_L584_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H222 | zenon_intro zenon_H25b ].
% 11.15/11.37 apply (zenon_L645_); trivial.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25d. zenon_intro zenon_H25c.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H272. zenon_intro zenon_H271.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H23b. zenon_intro zenon_H274.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H2e4. zenon_intro zenon_H2e3.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H1d8. zenon_intro zenon_H2e5.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H1d7. zenon_intro zenon_H2e6.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H238. zenon_intro zenon_H2e4.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H3c | zenon_intro zenon_H31 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1cc | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H114 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_L5_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 apply (zenon_L5_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L312_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L81_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.37 apply (zenon_L312_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.37 apply (zenon_L224_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_L296_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_L652_); trivial.
% 11.15/11.37 apply (zenon_L653_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_L296_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_L654_); trivial.
% 11.15/11.37 apply (zenon_L653_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.37 apply (zenon_L312_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.37 apply (zenon_L224_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.37 apply (zenon_L657_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_L296_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_L654_); trivial.
% 11.15/11.37 apply (zenon_L184_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_L398_); trivial.
% 11.15/11.37 apply (zenon_L658_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L98_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 apply (zenon_L158_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L659_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L253_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.37 apply (zenon_L318_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.37 apply (zenon_L224_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_L661_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.37 apply (zenon_L9_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.37 apply (zenon_L662_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.37 apply (zenon_L641_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.37 apply (zenon_L149_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.37 apply (zenon_L447_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.37 apply (zenon_L59_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.37 apply (zenon_L599_); trivial.
% 11.15/11.37 apply (zenon_L650_); trivial.
% 11.15/11.37 apply (zenon_L665_); trivial.
% 11.15/11.37 apply (zenon_L295_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_L661_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.37 apply (zenon_L9_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.37 apply (zenon_L662_); trivial.
% 11.15/11.37 apply (zenon_L110_); trivial.
% 11.15/11.37 apply (zenon_L295_); trivial.
% 11.15/11.37 apply (zenon_L406_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_L398_); trivial.
% 11.15/11.37 apply (zenon_L658_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.37 apply (zenon_L447_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.37 apply (zenon_L666_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_L667_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L269_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L98_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 apply (zenon_L158_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L659_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L253_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.37 apply (zenon_L318_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.37 apply (zenon_L224_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.37 apply (zenon_L109_); trivial.
% 11.15/11.37 apply (zenon_L668_); trivial.
% 11.15/11.37 apply (zenon_L406_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_L398_); trivial.
% 11.15/11.37 apply (zenon_L658_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_L667_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L269_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L98_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L659_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L388_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.15/11.37 apply (zenon_L169_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.15/11.37 apply (zenon_L669_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.15/11.37 apply (zenon_L66_); trivial.
% 11.15/11.37 apply (zenon_L237_); trivial.
% 11.15/11.37 apply (zenon_L406_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_L667_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L670_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L467_); trivial.
% 11.15/11.37 apply (zenon_L671_); trivial.
% 11.15/11.37 exact (zenon_H1af zenon_H31).
% 11.15/11.37 exact (zenon_H1a4 zenon_H65).
% 11.15/11.37 exact (zenon_H1cc zenon_Hca).
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_L672_); trivial.
% 11.15/11.37 apply (zenon_L673_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1cc | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H114 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ].
% 11.15/11.37 exact (zenon_H1af zenon_H31).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_L8_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 apply (zenon_L465_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 apply (zenon_L674_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_L398_); trivial.
% 11.15/11.37 apply (zenon_L658_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L98_); trivial.
% 11.15/11.37 apply (zenon_L301_); trivial.
% 11.15/11.37 exact (zenon_H1a4 zenon_H65).
% 11.15/11.37 exact (zenon_H1cc zenon_Hca).
% 11.15/11.37 apply (zenon_L672_); trivial.
% 11.15/11.37 apply (zenon_L673_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H2fb | zenon_intro zenon_H2fa ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_Hca. zenon_intro zenon_H2fc.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H199. zenon_intro zenon_H6e.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26e. zenon_intro zenon_H2e1.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H273. zenon_intro zenon_H2ea.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H26c. zenon_intro zenon_H2eb.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2ec.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H264. zenon_intro zenon_H2ed.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H1f2. zenon_intro zenon_H268.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H26d | zenon_intro zenon_H2c ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.37 exact (zenon_H26d zenon_H2c).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L151_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L388_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.37 apply (zenon_L8_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.37 apply (zenon_L321_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_L514_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Hdc | zenon_intro zenon_H226 ].
% 11.15/11.37 apply (zenon_L676_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hcb | zenon_intro zenon_H227 ].
% 11.15/11.37 apply (zenon_L303_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H65 | zenon_intro zenon_H153 ].
% 11.15/11.37 apply (zenon_L246_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ].
% 11.15/11.37 exact (zenon_Haa zenon_Ha9).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ].
% 11.15/11.37 apply (zenon_L207_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ].
% 11.15/11.37 apply (zenon_L145_); trivial.
% 11.15/11.37 apply (zenon_L119_); trivial.
% 11.15/11.37 exact (zenon_H199 zenon_H6f).
% 11.15/11.37 exact (zenon_H14f zenon_Hc4).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 apply (zenon_L8_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_L57_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_L676_); trivial.
% 11.15/11.37 apply (zenon_L184_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L269_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L677_); trivial.
% 11.15/11.37 apply (zenon_L237_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_L679_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 apply (zenon_L465_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.37 apply (zenon_L466_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.37 apply (zenon_L321_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.37 apply (zenon_L350_); trivial.
% 11.15/11.37 exact (zenon_H14f zenon_Hc4).
% 11.15/11.37 apply (zenon_L376_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L467_); trivial.
% 11.15/11.37 apply (zenon_L237_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.37 exact (zenon_H26d zenon_H2c).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L151_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L678_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_L682_); trivial.
% 11.15/11.37 apply (zenon_L75_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L688_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L677_); trivial.
% 11.15/11.37 apply (zenon_L301_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.37 apply (zenon_L690_); trivial.
% 11.15/11.37 apply (zenon_L691_); trivial.
% 11.15/11.37 exact (zenon_H165 zenon_H68).
% 11.15/11.37 exact (zenon_H56 zenon_H24).
% 11.15/11.37 apply (zenon_L692_); trivial.
% 11.15/11.37 apply (zenon_L699_); trivial.
% 11.15/11.37 apply (zenon_L700_); trivial.
% 11.15/11.37 apply (zenon_L701_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e2 ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H248. zenon_intro zenon_H247.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H21e. zenon_intro zenon_H249.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H221. zenon_intro zenon_H24a.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H15d | zenon_intro zenon_H133 ].
% 11.15/11.37 exact (zenon_H15d zenon_H6e).
% 11.15/11.37 apply (zenon_L675_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H222 | zenon_intro zenon_H25b ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H224. zenon_intro zenon_H223.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H254. zenon_intro zenon_H253.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H256. zenon_intro zenon_H255.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H258. zenon_intro zenon_H257.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H16d. zenon_intro zenon_H259.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H174. zenon_intro zenon_H25a.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H256. zenon_intro zenon_H16e.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H171 | zenon_intro zenon_He3 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_Hc3 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfc ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H176 | zenon_intro zenon_H7c ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_L702_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 apply (zenon_L702_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 exact (zenon_H171 zenon_H175).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L81_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.37 exact (zenon_H171 zenon_H175).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.37 apply (zenon_L224_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.37 apply (zenon_L56_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.37 apply (zenon_L44_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.37 apply (zenon_L704_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.37 apply (zenon_L719_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.37 apply (zenon_L44_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.37 apply (zenon_L720_); trivial.
% 11.15/11.37 apply (zenon_L723_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.37 apply (zenon_L468_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.37 apply (zenon_L9_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.37 apply (zenon_L641_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.37 apply (zenon_L44_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.37 apply (zenon_L704_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.37 apply (zenon_L269_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.37 apply (zenon_L44_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.37 apply (zenon_L720_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.37 apply (zenon_L224_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.37 exact (zenon_H118 zenon_H11c).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.37 apply (zenon_L512_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.15/11.37 apply (zenon_L722_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.15/11.37 exact (zenon_H118 zenon_H11c).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.15/11.37 apply (zenon_L26_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.15/11.37 apply (zenon_L344_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ].
% 11.15/11.37 apply (zenon_L350_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ].
% 11.15/11.37 apply (zenon_L724_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ].
% 11.15/11.37 apply (zenon_L37_); trivial.
% 11.15/11.37 apply (zenon_L377_); trivial.
% 11.15/11.37 apply (zenon_L189_); trivial.
% 11.15/11.37 apply (zenon_L275_); trivial.
% 11.15/11.37 apply (zenon_L110_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.37 exact (zenon_H171 zenon_H175).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.37 apply (zenon_L224_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 apply (zenon_L468_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_L57_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.37 apply (zenon_L56_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.37 apply (zenon_L44_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.37 apply (zenon_L719_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.37 apply (zenon_L59_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.37 apply (zenon_L725_); trivial.
% 11.15/11.37 apply (zenon_L215_); trivial.
% 11.15/11.37 apply (zenon_L726_); trivial.
% 11.15/11.37 apply (zenon_L184_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 apply (zenon_L468_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_L296_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.37 apply (zenon_L58_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.37 apply (zenon_L321_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.37 apply (zenon_L269_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.37 apply (zenon_L44_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.37 apply (zenon_L729_); trivial.
% 11.15/11.37 apply (zenon_L215_); trivial.
% 11.15/11.37 apply (zenon_L110_); trivial.
% 11.15/11.37 apply (zenon_L184_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_L718_); trivial.
% 11.15/11.37 apply (zenon_L376_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 apply (zenon_L11_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 exact (zenon_H171 zenon_H175).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L733_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_L36_); trivial.
% 11.15/11.37 apply (zenon_L734_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_L718_); trivial.
% 11.15/11.37 apply (zenon_L376_); trivial.
% 11.15/11.37 apply (zenon_L237_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.37 apply (zenon_L719_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.37 exact (zenon_He0 zenon_He3).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_L702_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 exact (zenon_H171 zenon_H175).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L81_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.37 apply (zenon_L705_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.37 apply (zenon_L44_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.37 apply (zenon_L704_); trivial.
% 11.15/11.37 apply (zenon_L328_); trivial.
% 11.15/11.37 apply (zenon_L75_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 apply (zenon_L702_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 exact (zenon_H171 zenon_H175).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ].
% 11.15/11.37 apply (zenon_L470_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ].
% 11.15/11.37 apply (zenon_L323_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ].
% 11.15/11.37 apply (zenon_L680_); trivial.
% 11.15/11.37 apply (zenon_L528_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_L57_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_L71_); trivial.
% 11.15/11.37 apply (zenon_L732_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_L36_); trivial.
% 11.15/11.37 apply (zenon_L75_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_L718_); trivial.
% 11.15/11.37 apply (zenon_L376_); trivial.
% 11.15/11.37 apply (zenon_L237_); trivial.
% 11.15/11.37 exact (zenon_H79 zenon_H7c).
% 11.15/11.37 exact (zenon_H118 zenon_H11c).
% 11.15/11.37 exact (zenon_H171 zenon_H175).
% 11.15/11.37 apply (zenon_L735_); trivial.
% 11.15/11.37 apply (zenon_L737_); trivial.
% 11.15/11.37 apply (zenon_L738_); trivial.
% 11.15/11.37 apply (zenon_L740_); trivial.
% 11.15/11.37 apply (zenon_L741_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2fa); [ zenon_intro zenon_H2fe | zenon_intro zenon_H2fd ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_Ha9. zenon_intro zenon_H2ff.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H14e. zenon_intro zenon_H175.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26e. zenon_intro zenon_H2e1.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H273. zenon_intro zenon_H2ea.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ].
% 11.15/11.37 exact (zenon_Haa zenon_Ha9).
% 11.15/11.37 exact (zenon_H14e zenon_H103).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e2 ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H248. zenon_intro zenon_H247.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H21e. zenon_intro zenon_H249.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H221. zenon_intro zenon_H24a.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H21f. zenon_intro zenon_H24b.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H24b). zenon_intro zenon_H248. zenon_intro zenon_H24c.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H21c. zenon_intro zenon_H220.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2a | zenon_intro zenon_H23 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H67 | zenon_intro zenon_H130 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H15d | zenon_intro zenon_H133 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.37 apply (zenon_L312_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.37 exact (zenon_H1fd zenon_H23).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.37 apply (zenon_L155_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.37 apply (zenon_L6_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 exact (zenon_H2a zenon_H1e).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 exact (zenon_H2a zenon_H1e).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 apply (zenon_L56_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 apply (zenon_L291_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_L296_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.37 apply (zenon_L58_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.37 exact (zenon_H1fd zenon_H23).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.37 apply (zenon_L744_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 apply (zenon_L347_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 exact (zenon_H40 zenon_H3f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.37 apply (zenon_L281_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.37 apply (zenon_L745_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.37 apply (zenon_L749_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.37 apply (zenon_L65_); trivial.
% 11.15/11.37 apply (zenon_L21_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.37 apply (zenon_L751_); trivial.
% 11.15/11.37 apply (zenon_L742_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.37 apply (zenon_L281_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 11.15/11.37 apply (zenon_L753_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 11.15/11.37 apply (zenon_L317_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 11.15/11.37 exact (zenon_H67 zenon_H66).
% 11.15/11.37 apply (zenon_L362_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.37 apply (zenon_L751_); trivial.
% 11.15/11.37 apply (zenon_L752_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 apply (zenon_L9_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 exact (zenon_H40 zenon_H3f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_L754_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.37 apply (zenon_L281_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.37 apply (zenon_L749_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.37 apply (zenon_L364_); trivial.
% 11.15/11.37 apply (zenon_L78_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.37 apply (zenon_L350_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.37 apply (zenon_L755_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.37 apply (zenon_L757_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.37 apply (zenon_L65_); trivial.
% 11.15/11.37 apply (zenon_L21_); trivial.
% 11.15/11.37 apply (zenon_L73_); trivial.
% 11.15/11.37 apply (zenon_L297_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L753_); trivial.
% 11.15/11.37 apply (zenon_L301_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.37 apply (zenon_L60_); trivial.
% 11.15/11.37 apply (zenon_L755_); trivial.
% 11.15/11.37 exact (zenon_H15d zenon_H6e).
% 11.15/11.37 exact (zenon_H67 zenon_H66).
% 11.15/11.37 exact (zenon_H2a zenon_H1e).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ].
% 11.15/11.37 exact (zenon_H145 zenon_H133).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.37 apply (zenon_L312_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.37 exact (zenon_H1fd zenon_H23).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.37 apply (zenon_L155_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.37 apply (zenon_L758_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.37 apply (zenon_L244_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.37 apply (zenon_L65_); trivial.
% 11.15/11.37 apply (zenon_L21_); trivial.
% 11.15/11.37 exact (zenon_H67 zenon_H66).
% 11.15/11.37 exact (zenon_H2a zenon_H1e).
% 11.15/11.37 apply (zenon_L379_); trivial.
% 11.15/11.37 apply (zenon_L384_); trivial.
% 11.15/11.37 apply (zenon_L385_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H222 | zenon_intro zenon_H25b ].
% 11.15/11.37 apply (zenon_L386_); trivial.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25d. zenon_intro zenon_H25c.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H272. zenon_intro zenon_H271.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H23b. zenon_intro zenon_H274.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H2e4. zenon_intro zenon_H2e3.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H1d8. zenon_intro zenon_H2e5.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H1d7. zenon_intro zenon_H2e6.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H238. zenon_intro zenon_H2e4.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H3c | zenon_intro zenon_H31 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1cc | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H114 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H73 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.37 apply (zenon_L312_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.37 apply (zenon_L447_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_L151_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L269_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L396_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 apply (zenon_L158_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 apply (zenon_L56_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_L292_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 apply (zenon_L56_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.15/11.37 apply (zenon_L388_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.15/11.37 apply (zenon_L272_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.15/11.37 apply (zenon_L292_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.15/11.37 exact (zenon_H1cc zenon_Hca).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.15/11.37 apply (zenon_L389_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 11.15/11.37 apply (zenon_L284_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 11.15/11.37 apply (zenon_L397_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 11.15/11.37 apply (zenon_L398_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.37 apply (zenon_L412_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.37 apply (zenon_L244_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.37 apply (zenon_L65_); trivial.
% 11.15/11.37 apply (zenon_L761_); trivial.
% 11.15/11.37 apply (zenon_L762_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_L440_); trivial.
% 11.15/11.37 exact (zenon_H199 zenon_H6f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.37 apply (zenon_L350_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 apply (zenon_L347_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.37 apply (zenon_L281_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.37 apply (zenon_L272_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.37 apply (zenon_L759_); trivial.
% 11.15/11.37 apply (zenon_L441_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ].
% 11.15/11.37 apply (zenon_L292_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ].
% 11.15/11.37 exact (zenon_H1cc zenon_Hca).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.37 exact (zenon_H14e zenon_H103).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.37 apply (zenon_L389_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.37 apply (zenon_L315_); trivial.
% 11.15/11.37 exact (zenon_H19f zenon_H114).
% 11.15/11.37 apply (zenon_L426_); trivial.
% 11.15/11.37 exact (zenon_H199 zenon_H6f).
% 11.15/11.37 apply (zenon_L295_); trivial.
% 11.15/11.37 apply (zenon_L442_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.37 apply (zenon_L60_); trivial.
% 11.15/11.37 apply (zenon_L423_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.37 apply (zenon_L155_); trivial.
% 11.15/11.37 exact (zenon_H1af zenon_H31).
% 11.15/11.37 exact (zenon_H1a4 zenon_H65).
% 11.15/11.37 exact (zenon_H1cc zenon_Hca).
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_L445_); trivial.
% 11.15/11.37 apply (zenon_L446_); trivial.
% 11.15/11.37 apply (zenon_L451_); trivial.
% 11.15/11.37 apply (zenon_L452_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H301 | zenon_intro zenon_H300 ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H66. zenon_intro zenon_H302.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H1f3. zenon_intro zenon_H11c.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26e. zenon_intro zenon_H2e1.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H273. zenon_intro zenon_H2ea.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H26c. zenon_intro zenon_H2eb.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2ec.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H264. zenon_intro zenon_H2ed.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H1f2. zenon_intro zenon_H268.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H26d | zenon_intro zenon_H2c ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.37 exact (zenon_H26d zenon_H2c).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.37 exact (zenon_H26d zenon_H2c).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L151_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L388_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_L272_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_L207_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.15/11.37 apply (zenon_L154_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.15/11.37 apply (zenon_L515_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.15/11.37 exact (zenon_Haa zenon_Ha9).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ].
% 11.15/11.37 apply (zenon_L206_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ].
% 11.15/11.37 apply (zenon_L352_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ].
% 11.15/11.37 exact (zenon_Haa zenon_Ha9).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.37 exact (zenon_H14e zenon_H103).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.37 exact (zenon_H1f3 zenon_H130).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.37 apply (zenon_L145_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ].
% 11.15/11.37 apply (zenon_L587_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ].
% 11.15/11.37 apply (zenon_L764_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ].
% 11.15/11.37 apply (zenon_L66_); trivial.
% 11.15/11.37 apply (zenon_L22_); trivial.
% 11.15/11.37 apply (zenon_L765_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L269_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L98_); trivial.
% 11.15/11.37 apply (zenon_L614_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L151_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L253_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_L272_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_L207_); trivial.
% 11.15/11.37 apply (zenon_L779_); trivial.
% 11.15/11.37 apply (zenon_L765_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L781_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L98_); trivial.
% 11.15/11.37 apply (zenon_L614_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L151_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L388_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.37 exact (zenon_H14e zenon_H103).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.37 exact (zenon_H1f3 zenon_H130).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.37 apply (zenon_L147_); trivial.
% 11.15/11.37 apply (zenon_L774_); trivial.
% 11.15/11.37 apply (zenon_L765_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L624_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L98_); trivial.
% 11.15/11.37 apply (zenon_L614_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.37 exact (zenon_H26d zenon_H2c).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.37 apply (zenon_L783_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.37 apply (zenon_L784_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_L782_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L624_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L467_); trivial.
% 11.15/11.37 apply (zenon_L614_); trivial.
% 11.15/11.37 apply (zenon_L771_); trivial.
% 11.15/11.37 exact (zenon_H165 zenon_H68).
% 11.15/11.37 exact (zenon_Haa zenon_Ha9).
% 11.15/11.37 exact (zenon_H56 zenon_H24).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ].
% 11.15/11.37 exact (zenon_H14f zenon_Hc4).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L633_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L253_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_L785_); trivial.
% 11.15/11.37 apply (zenon_L765_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L638_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L98_); trivial.
% 11.15/11.37 apply (zenon_L614_); trivial.
% 11.15/11.37 exact (zenon_Haa zenon_Ha9).
% 11.15/11.37 exact (zenon_H56 zenon_H24).
% 11.15/11.37 apply (zenon_L306_); trivial.
% 11.15/11.37 apply (zenon_L640_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_L5_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 apply (zenon_L465_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_L398_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L312_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L253_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_L746_); trivial.
% 11.15/11.37 apply (zenon_L765_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L98_); trivial.
% 11.15/11.37 apply (zenon_L614_); trivial.
% 11.15/11.37 exact (zenon_Haa zenon_Ha9).
% 11.15/11.37 exact (zenon_H56 zenon_H24).
% 11.15/11.37 apply (zenon_L306_); trivial.
% 11.15/11.37 apply (zenon_L640_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e2 ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H248. zenon_intro zenon_H247.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H21e. zenon_intro zenon_H249.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H67 | zenon_intro zenon_H130 ].
% 11.15/11.37 exact (zenon_H67 zenon_H66).
% 11.15/11.37 exact (zenon_H1f3 zenon_H130).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H222 | zenon_intro zenon_H25b ].
% 11.15/11.37 apply (zenon_L645_); trivial.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25d. zenon_intro zenon_H25c.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H272. zenon_intro zenon_H271.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H23b. zenon_intro zenon_H274.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H2e4. zenon_intro zenon_H2e3.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H1d8. zenon_intro zenon_H2e5.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H1d7. zenon_intro zenon_H2e6.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H238. zenon_intro zenon_H2e4.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H3c | zenon_intro zenon_H31 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1cc | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H114 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_L667_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 apply (zenon_L465_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L312_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L81_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_L788_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.37 apply (zenon_L312_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.37 apply (zenon_L224_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.37 apply (zenon_L657_); trivial.
% 11.15/11.37 apply (zenon_L789_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_L398_); trivial.
% 11.15/11.37 apply (zenon_L658_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L98_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L659_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L253_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.37 apply (zenon_L666_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.37 apply (zenon_L149_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.37 apply (zenon_L336_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.37 apply (zenon_L663_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.37 apply (zenon_L790_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.37 apply (zenon_L791_); trivial.
% 11.15/11.37 apply (zenon_L228_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.37 apply (zenon_L447_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.37 apply (zenon_L149_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.37 apply (zenon_L599_); trivial.
% 11.15/11.37 apply (zenon_L790_); trivial.
% 11.15/11.37 apply (zenon_L295_); trivial.
% 11.15/11.37 apply (zenon_L406_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.37 apply (zenon_L793_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.37 apply (zenon_L153_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.37 apply (zenon_L666_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.37 apply (zenon_L792_); trivial.
% 11.15/11.37 apply (zenon_L796_); trivial.
% 11.15/11.37 exact (zenon_H1af zenon_H31).
% 11.15/11.37 exact (zenon_H1a4 zenon_H65).
% 11.15/11.37 exact (zenon_H1cc zenon_Hca).
% 11.15/11.37 exact (zenon_H3c zenon_H37).
% 11.15/11.37 apply (zenon_L672_); trivial.
% 11.15/11.37 apply (zenon_L673_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1cc | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H114 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ].
% 11.15/11.37 exact (zenon_H1af zenon_H31).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.37 apply (zenon_L468_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.37 apply (zenon_L798_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_L8_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L291_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L81_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ].
% 11.15/11.37 apply (zenon_L109_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ].
% 11.15/11.37 exact (zenon_H1f3 zenon_H130).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ].
% 11.15/11.37 apply (zenon_L145_); trivial.
% 11.15/11.37 exact (zenon_H19f zenon_H114).
% 11.15/11.37 apply (zenon_L75_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L98_); trivial.
% 11.15/11.37 apply (zenon_L301_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_L8_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 apply (zenon_L465_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L291_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L81_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_L788_); trivial.
% 11.15/11.37 apply (zenon_L75_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_L398_); trivial.
% 11.15/11.37 apply (zenon_L801_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L98_); trivial.
% 11.15/11.37 apply (zenon_L301_); trivial.
% 11.15/11.37 exact (zenon_H1a4 zenon_H65).
% 11.15/11.37 exact (zenon_H1cc zenon_Hca).
% 11.15/11.37 apply (zenon_L672_); trivial.
% 11.15/11.37 apply (zenon_L673_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_H304 | zenon_intro zenon_H303 ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_Hfc. zenon_intro zenon_H305.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_Hf9. zenon_intro zenon_Hfc.
% 11.15/11.37 exact (zenon_Hf9 zenon_Hfc).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H307 | zenon_intro zenon_H306 ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H65. zenon_intro zenon_H308.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H19f. zenon_intro zenon_H7c.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26e. zenon_intro zenon_H2e1.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H273. zenon_intro zenon_H2ea.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H26c. zenon_intro zenon_H2eb.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2ec.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H264. zenon_intro zenon_H2ed.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H1f2. zenon_intro zenon_H268.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H26d | zenon_intro zenon_H2c ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.37 exact (zenon_H26d zenon_H2c).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.37 exact (zenon_H26d zenon_H2c).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_L805_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L269_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L808_); trivial.
% 11.15/11.37 apply (zenon_L809_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.37 apply (zenon_L154_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.37 exact (zenon_H56 zenon_H24).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ].
% 11.15/11.37 apply (zenon_L83_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ].
% 11.15/11.37 apply (zenon_L257_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ].
% 11.15/11.37 apply (zenon_L20_); trivial.
% 11.15/11.37 apply (zenon_L522_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_L316_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 11.15/11.37 apply (zenon_L11_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 11.15/11.37 apply (zenon_L317_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 11.15/11.37 apply (zenon_L20_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.37 apply (zenon_L810_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.37 apply (zenon_L811_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.37 apply (zenon_L703_); trivial.
% 11.15/11.37 exact (zenon_H165 zenon_H68).
% 11.15/11.37 apply (zenon_L817_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L269_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L808_); trivial.
% 11.15/11.37 apply (zenon_L809_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_L810_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L269_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L808_); trivial.
% 11.15/11.37 apply (zenon_L809_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.37 exact (zenon_H26d zenon_H2c).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ].
% 11.15/11.37 apply (zenon_L127_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ].
% 11.15/11.37 apply (zenon_L818_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ].
% 11.15/11.37 apply (zenon_L157_); trivial.
% 11.15/11.37 exact (zenon_H165 zenon_H68).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.37 apply (zenon_L459_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.37 exact (zenon_H56 zenon_H24).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.37 apply (zenon_L460_); trivial.
% 11.15/11.37 apply (zenon_L818_); trivial.
% 11.15/11.37 apply (zenon_L820_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.37 exact (zenon_H26d zenon_H2c).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_L823_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_L815_); trivial.
% 11.15/11.37 apply (zenon_L821_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 apply (zenon_L465_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_L822_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L824_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L807_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.37 apply (zenon_L824_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ].
% 11.15/11.37 apply (zenon_L826_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ].
% 11.15/11.37 apply (zenon_L471_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ].
% 11.15/11.37 exact (zenon_Haa zenon_Ha9).
% 11.15/11.37 apply (zenon_L41_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_L296_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_L51_); trivial.
% 11.15/11.37 apply (zenon_L803_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.37 exact (zenon_H14e zenon_H103).
% 11.15/11.37 apply (zenon_L133_); trivial.
% 11.15/11.37 apply (zenon_L186_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L827_); trivial.
% 11.15/11.37 apply (zenon_L301_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.37 apply (zenon_L154_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.37 exact (zenon_H56 zenon_H24).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_L823_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_L316_); trivial.
% 11.15/11.37 apply (zenon_L821_); trivial.
% 11.15/11.37 apply (zenon_L817_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 apply (zenon_L465_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_L822_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L824_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L81_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_L826_); trivial.
% 11.15/11.37 apply (zenon_L186_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L827_); trivial.
% 11.15/11.37 apply (zenon_L301_); trivial.
% 11.15/11.37 apply (zenon_L828_); trivial.
% 11.15/11.37 exact (zenon_H165 zenon_H68).
% 11.15/11.37 exact (zenon_Haa zenon_Ha9).
% 11.15/11.37 exact (zenon_H56 zenon_H24).
% 11.15/11.37 apply (zenon_L829_); trivial.
% 11.15/11.37 apply (zenon_L830_); trivial.
% 11.15/11.37 apply (zenon_L834_); trivial.
% 11.15/11.37 apply (zenon_L839_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e2 ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H248. zenon_intro zenon_H247.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H21e. zenon_intro zenon_H249.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H221. zenon_intro zenon_H24a.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H21f. zenon_intro zenon_H24b.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H24b). zenon_intro zenon_H248. zenon_intro zenon_H24c.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H21c. zenon_intro zenon_H220.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2a | zenon_intro zenon_H23 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H67 | zenon_intro zenon_H130 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H15d | zenon_intro zenon_H133 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 exact (zenon_H2a zenon_H1e).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L312_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L851_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.37 apply (zenon_L318_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.37 apply (zenon_L224_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 apply (zenon_L468_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_L852_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_L51_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ].
% 11.15/11.37 apply (zenon_L74_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ].
% 11.15/11.37 apply (zenon_L9_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ].
% 11.15/11.37 apply (zenon_L285_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 11.15/11.37 apply (zenon_L45_); trivial.
% 11.15/11.37 apply (zenon_L192_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 11.15/11.37 apply (zenon_L512_); trivial.
% 11.15/11.37 apply (zenon_L191_); trivial.
% 11.15/11.37 apply (zenon_L133_); trivial.
% 11.15/11.37 apply (zenon_L186_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_L853_); trivial.
% 11.15/11.37 apply (zenon_L855_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.37 exact (zenon_H1fd zenon_H23).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.37 apply (zenon_L153_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 exact (zenon_H2a zenon_H1e).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 apply (zenon_L56_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_L853_); trivial.
% 11.15/11.37 apply (zenon_L855_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.37 apply (zenon_L856_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 exact (zenon_H2a zenon_H1e).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 exact (zenon_H2a zenon_H1e).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ].
% 11.15/11.37 apply (zenon_L291_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ].
% 11.15/11.37 apply (zenon_L9_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ].
% 11.15/11.37 apply (zenon_L246_); trivial.
% 11.15/11.37 apply (zenon_L116_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L81_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_L206_); trivial.
% 11.15/11.37 apply (zenon_L186_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_L853_); trivial.
% 11.15/11.37 apply (zenon_L855_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L467_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 exact (zenon_H2a zenon_H1e).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 apply (zenon_L291_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_L857_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_L51_); trivial.
% 11.15/11.37 apply (zenon_L295_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.37 apply (zenon_L127_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.37 apply (zenon_L858_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.37 apply (zenon_L481_); trivial.
% 11.15/11.37 apply (zenon_L843_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_L857_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_L183_); trivial.
% 11.15/11.37 apply (zenon_L295_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_L206_); trivial.
% 11.15/11.37 apply (zenon_L406_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_L853_); trivial.
% 11.15/11.37 apply (zenon_L855_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.37 apply (zenon_L6_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 exact (zenon_H2a zenon_H1e).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 apply (zenon_L56_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_L822_); trivial.
% 11.15/11.37 apply (zenon_L855_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.37 apply (zenon_L856_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 exact (zenon_H2a zenon_H1e).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 exact (zenon_H2a zenon_H1e).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L859_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L81_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.37 apply (zenon_L56_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.37 apply (zenon_L858_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.37 apply (zenon_L860_); trivial.
% 11.15/11.37 apply (zenon_L328_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_L852_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_L51_); trivial.
% 11.15/11.37 apply (zenon_L862_); trivial.
% 11.15/11.37 apply (zenon_L186_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_L853_); trivial.
% 11.15/11.37 apply (zenon_L855_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 exact (zenon_H2a zenon_H1e).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_L859_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.37 apply (zenon_L127_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.37 apply (zenon_L858_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.37 apply (zenon_L860_); trivial.
% 11.15/11.37 apply (zenon_L843_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_L857_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_L71_); trivial.
% 11.15/11.37 apply (zenon_L862_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_L36_); trivial.
% 11.15/11.37 apply (zenon_L75_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_L822_); trivial.
% 11.15/11.37 apply (zenon_L855_); trivial.
% 11.15/11.37 apply (zenon_L301_); trivial.
% 11.15/11.37 exact (zenon_H15d zenon_H6e).
% 11.15/11.37 exact (zenon_H67 zenon_H66).
% 11.15/11.37 exact (zenon_H2a zenon_H1e).
% 11.15/11.37 apply (zenon_L863_); trivial.
% 11.15/11.37 apply (zenon_L864_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H67 | zenon_intro zenon_H130 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H15d | zenon_intro zenon_H133 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.15/11.37 apply (zenon_L388_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.15/11.37 apply (zenon_L865_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.15/11.37 exact (zenon_H1f3 zenon_H130).
% 11.15/11.37 apply (zenon_L135_); trivial.
% 11.15/11.37 exact (zenon_H15d zenon_H6e).
% 11.15/11.37 exact (zenon_H67 zenon_H66).
% 11.15/11.37 apply (zenon_L863_); trivial.
% 11.15/11.37 apply (zenon_L864_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H222 | zenon_intro zenon_H25b ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H224. zenon_intro zenon_H223.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H254. zenon_intro zenon_H253.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H256. zenon_intro zenon_H255.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H258. zenon_intro zenon_H257.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ].
% 11.15/11.37 exact (zenon_H79 zenon_H7c).
% 11.15/11.37 apply (zenon_L119_); trivial.
% 11.15/11.37 apply (zenon_L867_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H30a | zenon_intro zenon_H309 ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H68. zenon_intro zenon_H30b.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H14f. zenon_intro zenon_H37.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26e. zenon_intro zenon_H2e1.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H273. zenon_intro zenon_H2ea.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H26c. zenon_intro zenon_H2eb.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ].
% 11.15/11.37 exact (zenon_H165 zenon_H68).
% 11.15/11.37 exact (zenon_H14f zenon_Hc4).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e2 ].
% 11.15/11.37 apply (zenon_L507_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H222 | zenon_intro zenon_H25b ].
% 11.15/11.37 apply (zenon_L547_); trivial.
% 11.15/11.37 apply (zenon_L548_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H309); [ zenon_intro zenon_H30d | zenon_intro zenon_H30c ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H6e. zenon_intro zenon_H30e.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H145. zenon_intro zenon_Hca.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26e. zenon_intro zenon_H2e1.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H273. zenon_intro zenon_H2ea.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H26c. zenon_intro zenon_H2eb.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2ec.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H264. zenon_intro zenon_H2ed.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H1f2. zenon_intro zenon_H268.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H26d | zenon_intro zenon_H2c ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.37 exact (zenon_H26d zenon_H2c).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_L514_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ].
% 11.15/11.37 apply (zenon_L877_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ].
% 11.15/11.37 apply (zenon_L316_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ].
% 11.15/11.37 exact (zenon_Haa zenon_Ha9).
% 11.15/11.37 apply (zenon_L878_); trivial.
% 11.15/11.37 apply (zenon_L22_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L269_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L677_); trivial.
% 11.15/11.37 apply (zenon_L237_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.37 apply (zenon_L877_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 apply (zenon_L8_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_L57_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_L871_); trivial.
% 11.15/11.37 apply (zenon_L73_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L688_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L677_); trivial.
% 11.15/11.37 apply (zenon_L237_); trivial.
% 11.15/11.37 exact (zenon_H165 zenon_H68).
% 11.15/11.37 exact (zenon_H56 zenon_H24).
% 11.15/11.37 apply (zenon_L692_); trivial.
% 11.15/11.37 apply (zenon_L699_); trivial.
% 11.15/11.37 apply (zenon_L700_); trivial.
% 11.15/11.37 apply (zenon_L701_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e2 ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H248. zenon_intro zenon_H247.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H21e. zenon_intro zenon_H249.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H221. zenon_intro zenon_H24a.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H15d | zenon_intro zenon_H133 ].
% 11.15/11.37 exact (zenon_H15d zenon_H6e).
% 11.15/11.37 exact (zenon_H145 zenon_H133).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H222 | zenon_intro zenon_H25b ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H224. zenon_intro zenon_H223.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H254. zenon_intro zenon_H253.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H256. zenon_intro zenon_H255.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H258. zenon_intro zenon_H257.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H16d. zenon_intro zenon_H259.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H174. zenon_intro zenon_H25a.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H256. zenon_intro zenon_H16e.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H171 | zenon_intro zenon_He3 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_Hc3 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfc ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H176 | zenon_intro zenon_H7c ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_L702_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 apply (zenon_L702_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 exact (zenon_H171 zenon_H175).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.37 exact (zenon_H171 zenon_H175).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.37 apply (zenon_L224_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ].
% 11.15/11.37 apply (zenon_L270_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ].
% 11.15/11.37 apply (zenon_L89_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H26a ].
% 11.15/11.37 apply (zenon_L879_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H12e | zenon_intro zenon_H26b ].
% 11.15/11.37 apply (zenon_L89_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H130 | zenon_intro zenon_H5d ].
% 11.15/11.37 apply (zenon_L90_); trivial.
% 11.15/11.37 apply (zenon_L323_); trivial.
% 11.15/11.37 apply (zenon_L377_); trivial.
% 11.15/11.37 apply (zenon_L880_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.37 exact (zenon_H171 zenon_H175).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.37 apply (zenon_L224_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.37 apply (zenon_L705_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.37 apply (zenon_L44_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.37 apply (zenon_L704_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.37 apply (zenon_L269_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.37 apply (zenon_L44_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ].
% 11.15/11.37 apply (zenon_L347_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ].
% 11.15/11.37 apply (zenon_L883_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ].
% 11.15/11.37 apply (zenon_L879_); trivial.
% 11.15/11.37 apply (zenon_L377_); trivial.
% 11.15/11.37 apply (zenon_L723_); trivial.
% 11.15/11.37 apply (zenon_L880_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ].
% 11.15/11.37 exact (zenon_H171 zenon_H175).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ].
% 11.15/11.37 apply (zenon_L224_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ].
% 11.15/11.37 apply (zenon_L468_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ].
% 11.15/11.37 apply (zenon_L57_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ].
% 11.15/11.37 apply (zenon_L882_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ].
% 11.15/11.37 apply (zenon_L44_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ].
% 11.15/11.37 apply (zenon_L725_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ].
% 11.15/11.37 apply (zenon_L727_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ].
% 11.15/11.37 exact (zenon_H118 zenon_H11c).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ].
% 11.15/11.37 apply (zenon_L274_); trivial.
% 11.15/11.37 apply (zenon_L275_); trivial.
% 11.15/11.37 apply (zenon_L184_); trivial.
% 11.15/11.37 apply (zenon_L880_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_L718_); trivial.
% 11.15/11.37 apply (zenon_L884_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 apply (zenon_L11_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 exact (zenon_H171 zenon_H175).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L733_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_L36_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H11f | zenon_intro zenon_H147 ].
% 11.15/11.37 apply (zenon_L885_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H3f | zenon_intro zenon_H148 ].
% 11.15/11.37 apply (zenon_L514_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H12e | zenon_intro zenon_H141 ].
% 11.15/11.37 apply (zenon_L886_); trivial.
% 11.15/11.37 apply (zenon_L177_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_L718_); trivial.
% 11.15/11.37 apply (zenon_L884_); trivial.
% 11.15/11.37 apply (zenon_L237_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.37 apply (zenon_L882_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.37 exact (zenon_He0 zenon_He3).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.37 apply (zenon_L6_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.37 apply (zenon_L705_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_L702_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 exact (zenon_H171 zenon_H175).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H26a ].
% 11.15/11.37 apply (zenon_L460_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H12e | zenon_intro zenon_H26b ].
% 11.15/11.37 apply (zenon_L89_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H130 | zenon_intro zenon_H5d ].
% 11.15/11.37 apply (zenon_L90_); trivial.
% 11.15/11.37 apply (zenon_L323_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_L887_); trivial.
% 11.15/11.37 apply (zenon_L75_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Hdc | zenon_intro zenon_H226 ].
% 11.15/11.37 apply (zenon_L706_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hcb | zenon_intro zenon_H227 ].
% 11.15/11.37 apply (zenon_L303_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H65 | zenon_intro zenon_H153 ].
% 11.15/11.37 apply (zenon_L680_); trivial.
% 11.15/11.37 exact (zenon_H176 zenon_H153).
% 11.15/11.37 apply (zenon_L301_); trivial.
% 11.15/11.37 apply (zenon_L881_); trivial.
% 11.15/11.37 exact (zenon_H79 zenon_H7c).
% 11.15/11.37 exact (zenon_H118 zenon_H11c).
% 11.15/11.37 exact (zenon_H171 zenon_H175).
% 11.15/11.37 apply (zenon_L735_); trivial.
% 11.15/11.37 apply (zenon_L737_); trivial.
% 11.15/11.37 apply (zenon_L738_); trivial.
% 11.15/11.37 apply (zenon_L740_); trivial.
% 11.15/11.37 apply (zenon_L741_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H310 | zenon_intro zenon_H30f ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H7c. zenon_intro zenon_H311.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H176. zenon_intro zenon_H65.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26e. zenon_intro zenon_H2e1.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H273. zenon_intro zenon_H2ea.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H26c. zenon_intro zenon_H2eb.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2ec.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H264. zenon_intro zenon_H2ed.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H1f2. zenon_intro zenon_H268.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H26d | zenon_intro zenon_H2c ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.37 exact (zenon_H26d zenon_H2c).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.37 exact (zenon_H26d zenon_H2c).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_L805_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L269_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 apply (zenon_L11_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ].
% 11.15/11.37 apply (zenon_L888_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ].
% 11.15/11.37 apply (zenon_L428_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ].
% 11.15/11.37 apply (zenon_L133_); trivial.
% 11.15/11.37 exact (zenon_H14f zenon_Hc4).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ].
% 11.15/11.37 apply (zenon_L894_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ].
% 11.15/11.37 apply (zenon_L428_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ].
% 11.15/11.37 exact (zenon_H14e zenon_H103).
% 11.15/11.37 apply (zenon_L246_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ].
% 11.15/11.37 apply (zenon_L896_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ].
% 11.15/11.37 apply (zenon_L352_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ].
% 11.15/11.37 exact (zenon_Haa zenon_Ha9).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ].
% 11.15/11.37 apply (zenon_L318_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ].
% 11.15/11.37 apply (zenon_L897_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ].
% 11.15/11.37 apply (zenon_L137_); trivial.
% 11.15/11.37 apply (zenon_L229_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ].
% 11.15/11.37 apply (zenon_L388_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ].
% 11.15/11.37 apply (zenon_L899_); trivial.
% 11.15/11.37 apply (zenon_L186_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.37 apply (zenon_L154_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.37 exact (zenon_H56 zenon_H24).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.37 apply (zenon_L891_); trivial.
% 11.15/11.37 apply (zenon_L817_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L269_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L894_); trivial.
% 11.15/11.37 apply (zenon_L900_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.37 apply (zenon_L805_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.37 exact (zenon_H56 zenon_H24).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.37 apply (zenon_L901_); trivial.
% 11.15/11.37 apply (zenon_L819_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_L269_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L888_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 apply (zenon_L158_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ].
% 11.15/11.37 apply (zenon_L127_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ].
% 11.15/11.37 exact (zenon_H56 zenon_H24).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ].
% 11.15/11.37 apply (zenon_L899_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ].
% 11.15/11.37 apply (zenon_L903_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ].
% 11.15/11.37 apply (zenon_L137_); trivial.
% 11.15/11.37 apply (zenon_L229_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_L316_); trivial.
% 11.15/11.37 apply (zenon_L449_); trivial.
% 11.15/11.37 apply (zenon_L812_); trivial.
% 11.15/11.37 apply (zenon_L904_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.37 apply (zenon_L896_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_L907_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_L910_); trivial.
% 11.15/11.37 apply (zenon_L821_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ].
% 11.15/11.37 apply (zenon_L380_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ].
% 11.15/11.37 apply (zenon_L910_); trivial.
% 11.15/11.37 apply (zenon_L821_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 exact (zenon_He6 zenon_H1f).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_L822_); trivial.
% 11.15/11.37 apply (zenon_L912_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ].
% 11.15/11.37 apply (zenon_L913_); trivial.
% 11.15/11.37 apply (zenon_L301_); trivial.
% 11.15/11.37 exact (zenon_H165 zenon_H68).
% 11.15/11.37 exact (zenon_Haa zenon_Ha9).
% 11.15/11.37 exact (zenon_H56 zenon_H24).
% 11.15/11.37 apply (zenon_L829_); trivial.
% 11.15/11.37 apply (zenon_L830_); trivial.
% 11.15/11.37 apply (zenon_L834_); trivial.
% 11.15/11.37 apply (zenon_L839_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e2 ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H248. zenon_intro zenon_H247.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H21e. zenon_intro zenon_H249.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H221. zenon_intro zenon_H24a.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H21f. zenon_intro zenon_H24b.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H24b). zenon_intro zenon_H248. zenon_intro zenon_H24c.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H21c. zenon_intro zenon_H220.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2a | zenon_intro zenon_H23 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H67 | zenon_intro zenon_H130 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H15d | zenon_intro zenon_H133 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ].
% 11.15/11.37 exact (zenon_H2a zenon_H1e).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ].
% 11.15/11.37 apply (zenon_L916_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 11.15/11.37 apply (zenon_L305_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ].
% 11.15/11.37 exact (zenon_H67 zenon_H66).
% 11.15/11.37 apply (zenon_L918_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ].
% 11.15/11.37 apply (zenon_L853_); trivial.
% 11.15/11.37 apply (zenon_L915_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ].
% 11.15/11.37 exact (zenon_H1fd zenon_H23).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.37 apply (zenon_L153_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.37 apply (zenon_L919_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.37 apply (zenon_L856_); trivial.
% 11.15/11.37 apply (zenon_L920_); trivial.
% 11.15/11.37 apply (zenon_L921_); trivial.
% 11.15/11.37 exact (zenon_H15d zenon_H6e).
% 11.15/11.37 exact (zenon_H67 zenon_H66).
% 11.15/11.37 exact (zenon_H2a zenon_H1e).
% 11.15/11.37 apply (zenon_L863_); trivial.
% 11.15/11.37 apply (zenon_L864_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H67 | zenon_intro zenon_H130 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H15d | zenon_intro zenon_H133 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ].
% 11.15/11.37 exact (zenon_H1fd zenon_H23).
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ].
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ].
% 11.15/11.37 apply (zenon_L447_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ].
% 11.15/11.37 apply (zenon_L805_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ].
% 11.15/11.37 apply (zenon_L856_); trivial.
% 11.15/11.37 apply (zenon_L920_); trivial.
% 11.15/11.37 exact (zenon_H15d zenon_H6e).
% 11.15/11.37 exact (zenon_H67 zenon_H66).
% 11.15/11.37 apply (zenon_L863_); trivial.
% 11.15/11.37 apply (zenon_L864_); trivial.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H222 | zenon_intro zenon_H25b ].
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H224. zenon_intro zenon_H223.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H254. zenon_intro zenon_H253.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H256. zenon_intro zenon_H255.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H258. zenon_intro zenon_H257.
% 11.15/11.37 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ].
% 11.15/11.37 exact (zenon_H79 zenon_H7c).
% 11.15/11.37 exact (zenon_H176 zenon_H153).
% 11.15/11.37 apply (zenon_L867_); trivial.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H73. zenon_intro zenon_H312.
% 11.15/11.37 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H1c5. zenon_intro zenon_H73.
% 11.15/11.37 exact (zenon_H1c5 zenon_H73).
% 11.15/11.37 Qed.
% 11.15/11.37 % SZS output end Proof
% 11.15/11.37 (* END-PROOF *)
% 11.15/11.37 nodes searched: 305919
% 11.15/11.37 max branch formulas: 319
% 11.15/11.37 proof nodes created: 12647
% 11.15/11.37 formulas created: 78653
% 11.15/11.37
%------------------------------------------------------------------------------