TSTP Solution File: ALG152+1 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : ALG152+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n028.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 18:30:36 EDT 2022
% Result : Unsatisfiable 11.22s 11.42s
% Output : Proof 11.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG152+1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 04:14:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 11.22/11.42 (* PROOF-FOUND *)
% 11.22/11.42 % SZS status Unsatisfiable
% 11.22/11.42 (* BEGIN-PROOF *)
% 11.22/11.42 % SZS output start Proof
% 11.22/11.42 Theorem zenon_thm : False.
% 11.22/11.42 Proof.
% 11.22/11.42 assert (zenon_L1_ : (~((e0) = (e0))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H1d.
% 11.22/11.42 apply zenon_H1d. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L1_ *)
% 11.22/11.42 assert (zenon_L2_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H1e zenon_H1f zenon_H20.
% 11.22/11.42 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ].
% 11.22/11.42 cut (((e1) = (e1)) = ((e0) = (e1))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H20.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H21.
% 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.42 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e0) (e1)) = (e0)) = ((e1) = (e0))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H23.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H1e.
% 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.42 cut (((op (e0) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H24].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_H24 zenon_H1f).
% 11.22/11.42 apply zenon_H1d. apply refl_equal.
% 11.22/11.42 apply zenon_H22. apply refl_equal.
% 11.22/11.42 apply zenon_H22. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L2_ *)
% 11.22/11.42 assert (zenon_L3_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e2))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H25 zenon_H26 zenon_H27.
% 11.22/11.42 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ].
% 11.22/11.42 cut (((e2) = (e2)) = ((e0) = (e2))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H27.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H28.
% 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.42 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e0) (e0)) = (e0)) = ((e2) = (e0))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H2a.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H25.
% 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.42 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_H2b zenon_H26).
% 11.22/11.42 apply zenon_H1d. apply refl_equal.
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L3_ *)
% 11.22/11.42 assert (zenon_L4_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e2))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H1e zenon_H2c zenon_H27.
% 11.22/11.42 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ].
% 11.22/11.42 cut (((e2) = (e2)) = ((e0) = (e2))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H27.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H28.
% 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.42 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e0) (e1)) = (e0)) = ((e2) = (e0))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H2a.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H1e.
% 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.42 cut (((op (e0) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H2d].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_H2d zenon_H2c).
% 11.22/11.42 apply zenon_H1d. apply refl_equal.
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L4_ *)
% 11.22/11.42 assert (zenon_L5_ : (~((e1) = (e1))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H22.
% 11.22/11.42 apply zenon_H22. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L5_ *)
% 11.22/11.42 assert (zenon_L6_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H2e zenon_H2f zenon_H30.
% 11.22/11.42 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ].
% 11.22/11.42 cut (((e2) = (e2)) = ((e1) = (e2))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H30.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H28.
% 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.42 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H31].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e0) (e2)) = (e1)) = ((e2) = (e1))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H31.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H2e.
% 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.42 cut (((op (e0) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_H32 zenon_H2f).
% 11.22/11.42 apply zenon_H22. apply refl_equal.
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L6_ *)
% 11.22/11.42 assert (zenon_L7_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e0)) = (e3)) -> (~((e0) = (e3))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H25 zenon_H33 zenon_H34.
% 11.22/11.42 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.22/11.42 cut (((e3) = (e3)) = ((e0) = (e3))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H34.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H35.
% 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.42 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e0) (e0)) = (e0)) = ((e3) = (e0))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H37.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H25.
% 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.42 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_H38 zenon_H33).
% 11.22/11.42 apply zenon_H1d. apply refl_equal.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L7_ *)
% 11.22/11.42 assert (zenon_L8_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((e0) = (e3))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H1e zenon_H39 zenon_H34.
% 11.22/11.42 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.22/11.42 cut (((e3) = (e3)) = ((e0) = (e3))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H34.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H35.
% 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.42 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e0) (e1)) = (e0)) = ((e3) = (e0))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H37.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H1e.
% 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.42 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_H3a zenon_H39).
% 11.22/11.42 apply zenon_H1d. apply refl_equal.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L8_ *)
% 11.22/11.42 assert (zenon_L9_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e3))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H2e zenon_H3b zenon_H3c.
% 11.22/11.42 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.22/11.42 cut (((e3) = (e3)) = ((e1) = (e3))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H3c.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H35.
% 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.42 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e0) (e2)) = (e1)) = ((e3) = (e1))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H3d.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H2e.
% 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.42 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_H3e zenon_H3b).
% 11.22/11.42 apply zenon_H22. apply refl_equal.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L9_ *)
% 11.22/11.42 assert (zenon_L10_ : (~((e2) = (e2))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H29.
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L10_ *)
% 11.22/11.42 assert (zenon_L11_ : ((op (e0) (e3)) = (e2)) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H3f zenon_H40 zenon_H41.
% 11.22/11.42 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.22/11.42 cut (((e3) = (e3)) = ((e2) = (e3))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H41.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H35.
% 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.42 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H42].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e0) (e3)) = (e2)) = ((e3) = (e2))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H42.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H3f.
% 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.42 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H43].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_H43 zenon_H40).
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L11_ *)
% 11.22/11.42 assert (zenon_L12_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H44 zenon_H25 zenon_H34 zenon_H1e zenon_H3c zenon_H2e zenon_H3f zenon_H41.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.22/11.42 apply (zenon_L7_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.22/11.42 apply (zenon_L8_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.22/11.42 apply (zenon_L9_); trivial.
% 11.22/11.42 apply (zenon_L11_); trivial.
% 11.22/11.42 (* end of lemma zenon_L12_ *)
% 11.22/11.42 assert (zenon_L13_ : ((op (e0) (e2)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> (~((e2) = (e3))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H2f zenon_H3b zenon_H41.
% 11.22/11.42 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.22/11.42 cut (((e3) = (e3)) = ((e2) = (e3))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H41.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H35.
% 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.42 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H42].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e0) (e2)) = (e2)) = ((e3) = (e2))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H42.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H2f.
% 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.42 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_H3e zenon_H3b).
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L13_ *)
% 11.22/11.42 assert (zenon_L14_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H47 zenon_H40 zenon_H3c.
% 11.22/11.42 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.22/11.42 cut (((e3) = (e3)) = ((e1) = (e3))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H3c.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H35.
% 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.42 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e0) (e3)) = (e1)) = ((e3) = (e1))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H3d.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H47.
% 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.42 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H43].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_H43 zenon_H40).
% 11.22/11.42 apply zenon_H22. apply refl_equal.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L14_ *)
% 11.22/11.42 assert (zenon_L15_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((e1) = (e2))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H47 zenon_H3f zenon_H30.
% 11.22/11.42 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ].
% 11.22/11.42 cut (((e2) = (e2)) = ((e1) = (e2))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H30.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H28.
% 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.42 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H31].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e0) (e3)) = (e1)) = ((e2) = (e1))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H31.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H47.
% 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.42 cut (((op (e0) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_H48 zenon_H3f).
% 11.22/11.42 apply zenon_H22. apply refl_equal.
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L15_ *)
% 11.22/11.42 assert (zenon_L16_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H49 zenon_H27 zenon_H3c zenon_H41 zenon_H1e zenon_H34 zenon_H25 zenon_H44 zenon_H47 zenon_H30.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.22/11.42 apply (zenon_L3_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.22/11.42 apply (zenon_L4_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.22/11.42 apply (zenon_L7_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.22/11.42 apply (zenon_L8_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.22/11.42 apply (zenon_L13_); trivial.
% 11.22/11.42 apply (zenon_L14_); trivial.
% 11.22/11.42 apply (zenon_L15_); trivial.
% 11.22/11.42 (* end of lemma zenon_L16_ *)
% 11.22/11.42 assert (zenon_L17_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H4c zenon_H4d zenon_H20 zenon_H49 zenon_H27 zenon_H3c zenon_H41 zenon_H1e zenon_H34 zenon_H25 zenon_H44 zenon_H30.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.22/11.42 exact (zenon_H4d zenon_H4f).
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.22/11.42 apply (zenon_L2_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.22/11.42 apply (zenon_L3_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.22/11.42 apply (zenon_L4_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.22/11.42 apply (zenon_L6_); trivial.
% 11.22/11.42 apply (zenon_L12_); trivial.
% 11.22/11.42 apply (zenon_L16_); trivial.
% 11.22/11.42 (* end of lemma zenon_L17_ *)
% 11.22/11.42 assert (zenon_L18_ : (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H51 zenon_H4c zenon_H4d zenon_H20 zenon_H49 zenon_H27 zenon_H3c zenon_H41 zenon_H1e zenon_H34 zenon_H44 zenon_H30.
% 11.22/11.42 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52.
% 11.22/11.42 apply (zenon_L17_); trivial.
% 11.22/11.42 (* end of lemma zenon_L18_ *)
% 11.22/11.42 assert (zenon_L19_ : (((op (e1) (e1)) = (e1))/\(((~((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 (e1) (e1)) = (e1))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H53 zenon_H54.
% 11.22/11.42 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 11.22/11.42 exact (zenon_H54 zenon_H56).
% 11.22/11.42 (* end of lemma zenon_L19_ *)
% 11.22/11.42 assert (zenon_L20_ : ((op (e1) (e0)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((e0) = (e2))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H57 zenon_H58 zenon_H27.
% 11.22/11.42 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ].
% 11.22/11.42 cut (((e2) = (e2)) = ((e0) = (e2))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H27.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H28.
% 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.42 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e1) (e0)) = (e0)) = ((e2) = (e0))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H2a.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H57.
% 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.42 cut (((op (e1) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H59].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_H59 zenon_H58).
% 11.22/11.42 apply zenon_H1d. apply refl_equal.
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L20_ *)
% 11.22/11.42 assert (zenon_L21_ : ((op (e2) (e2)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H5a zenon_H5b zenon_H5c.
% 11.22/11.42 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H5d | zenon_intro zenon_H5e ].
% 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e1) (e2)) = (op (e2) (e2)))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H5c.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H5d.
% 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 11.22/11.42 cut (((op (e2) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e1) (e2)))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H5f.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H5a.
% 11.22/11.42 cut (((e2) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 11.22/11.42 congruence.
% 11.22/11.42 apply zenon_H5e. apply refl_equal.
% 11.22/11.42 apply zenon_H60. apply sym_equal. exact zenon_H5b.
% 11.22/11.42 apply zenon_H5e. apply refl_equal.
% 11.22/11.42 apply zenon_H5e. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L21_ *)
% 11.22/11.42 assert (zenon_L22_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H61 zenon_H3f zenon_H62.
% 11.22/11.42 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H61.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H3f.
% 11.22/11.42 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H63].
% 11.22/11.42 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 11.22/11.42 congruence.
% 11.22/11.42 apply zenon_H64. apply refl_equal.
% 11.22/11.42 apply zenon_H63. apply sym_equal. exact zenon_H62.
% 11.22/11.42 (* end of lemma zenon_L22_ *)
% 11.22/11.42 assert (zenon_L23_ : ((op (e2) (e2)) = (e2)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H5a zenon_H2f zenon_H65.
% 11.22/11.42 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H5d | zenon_intro zenon_H5e ].
% 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e0) (e2)) = (op (e2) (e2)))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H65.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H5d.
% 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 11.22/11.42 cut (((op (e2) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e0) (e2)))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H66.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H5a.
% 11.22/11.42 cut (((e2) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H67].
% 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 11.22/11.42 congruence.
% 11.22/11.42 apply zenon_H5e. apply refl_equal.
% 11.22/11.42 apply zenon_H67. apply sym_equal. exact zenon_H2f.
% 11.22/11.42 apply zenon_H5e. apply refl_equal.
% 11.22/11.42 apply zenon_H5e. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L23_ *)
% 11.22/11.42 assert (zenon_L24_ : (((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 (e2) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H49 zenon_H2b zenon_H27 zenon_H1e zenon_H65 zenon_H5a zenon_H47 zenon_H30.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.22/11.42 exact (zenon_H2b zenon_H26).
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.22/11.42 apply (zenon_L4_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.22/11.42 apply (zenon_L23_); trivial.
% 11.22/11.42 apply (zenon_L15_); trivial.
% 11.22/11.42 (* end of lemma zenon_L24_ *)
% 11.22/11.42 assert (zenon_L25_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((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 (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H4c zenon_H4d zenon_H20 zenon_H61 zenon_H5c zenon_H68 zenon_H57 zenon_H69 zenon_H49 zenon_H2b zenon_H27 zenon_H1e zenon_H65 zenon_H5a zenon_H30.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.22/11.42 exact (zenon_H4d zenon_H4f).
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.22/11.42 apply (zenon_L2_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.22/11.42 exact (zenon_H2b zenon_H26).
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.22/11.42 apply (zenon_L4_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.22/11.42 apply (zenon_L6_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.22/11.42 apply (zenon_L20_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.22/11.42 exact (zenon_H68 zenon_H6c).
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.22/11.42 apply (zenon_L21_); trivial.
% 11.22/11.42 apply (zenon_L22_); trivial.
% 11.22/11.42 apply (zenon_L24_); trivial.
% 11.22/11.42 (* end of lemma zenon_L25_ *)
% 11.22/11.42 assert (zenon_L26_ : ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e2))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H6d zenon_H58 zenon_H30.
% 11.22/11.42 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ].
% 11.22/11.42 cut (((e2) = (e2)) = ((e1) = (e2))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H30.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H28.
% 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.42 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H31].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e1) (e0)) = (e1)) = ((e2) = (e1))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H31.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H6d.
% 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.42 cut (((op (e1) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H59].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_H59 zenon_H58).
% 11.22/11.42 apply zenon_H22. apply refl_equal.
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L26_ *)
% 11.22/11.42 assert (zenon_L27_ : (((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)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H69 zenon_H30 zenon_H6d zenon_H68 zenon_H5c zenon_H5a zenon_H61 zenon_H3f.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.22/11.42 apply (zenon_L26_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.22/11.42 exact (zenon_H68 zenon_H6c).
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.22/11.42 apply (zenon_L21_); trivial.
% 11.22/11.42 apply (zenon_L22_); trivial.
% 11.22/11.42 (* end of lemma zenon_L27_ *)
% 11.22/11.42 assert (zenon_L28_ : (((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))))) -> (~((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).
% 11.22/11.42 do 0 intro. intros zenon_H49 zenon_H2b zenon_H27 zenon_H1e zenon_H65 zenon_H69 zenon_H30 zenon_H6d zenon_H68 zenon_H5c zenon_H5a zenon_H61.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.22/11.42 exact (zenon_H2b zenon_H26).
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.22/11.42 apply (zenon_L4_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.22/11.42 apply (zenon_L23_); trivial.
% 11.22/11.42 apply (zenon_L27_); trivial.
% 11.22/11.42 (* end of lemma zenon_L28_ *)
% 11.22/11.42 assert (zenon_L29_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H6e zenon_H6f zenon_H20.
% 11.22/11.42 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ].
% 11.22/11.42 cut (((e1) = (e1)) = ((e0) = (e1))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H20.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H21.
% 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.42 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e2) (e0)) = (e0)) = ((e1) = (e0))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H23.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H6e.
% 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.42 cut (((op (e2) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H70].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_H70 zenon_H6f).
% 11.22/11.42 apply zenon_H1d. apply refl_equal.
% 11.22/11.42 apply zenon_H22. apply refl_equal.
% 11.22/11.42 apply zenon_H22. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L29_ *)
% 11.22/11.42 assert (zenon_L30_ : (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H71 zenon_H1e zenon_H72.
% 11.22/11.42 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e0) (e3)))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H71.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H1e.
% 11.22/11.42 cut (((e0) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H73].
% 11.22/11.42 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H74].
% 11.22/11.42 congruence.
% 11.22/11.42 apply zenon_H74. apply refl_equal.
% 11.22/11.42 apply zenon_H73. apply sym_equal. exact zenon_H72.
% 11.22/11.42 (* end of lemma zenon_L30_ *)
% 11.22/11.42 assert (zenon_L31_ : ((op (e1) (e0)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> (~((e2) = (e3))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H58 zenon_H75 zenon_H41.
% 11.22/11.42 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.22/11.42 cut (((e3) = (e3)) = ((e2) = (e3))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H41.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H35.
% 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.42 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H42].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e1) (e0)) = (e2)) = ((e3) = (e2))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H42.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H58.
% 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.42 cut (((op (e1) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_H76 zenon_H75).
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L31_ *)
% 11.22/11.42 assert (zenon_L32_ : (~((op (e1) (op (e1) (e1))) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e3)) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H77 zenon_H78.
% 11.22/11.42 cut (((op (e1) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H79].
% 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.42 congruence.
% 11.22/11.42 apply zenon_H22. apply refl_equal.
% 11.22/11.42 exact (zenon_H79 zenon_H78).
% 11.22/11.42 (* end of lemma zenon_L32_ *)
% 11.22/11.42 assert (zenon_L33_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (op (e1) (op (e1) (e1))))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H7a zenon_H78 zenon_H7b.
% 11.22/11.42 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ].
% 11.22/11.42 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e0) = (op (e1) (op (e1) (e1))))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H7b.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H7c.
% 11.22/11.42 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7d].
% 11.22/11.42 cut (((op (e1) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7e].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (op (e1) (e1))) = (e0))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H7e.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H7a.
% 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.42 cut (((op (e1) (e3)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7f].
% 11.22/11.42 congruence.
% 11.22/11.42 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ].
% 11.22/11.42 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e3)) = (op (e1) (op (e1) (e1))))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H7f.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H7c.
% 11.22/11.42 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7d].
% 11.22/11.42 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H77].
% 11.22/11.42 congruence.
% 11.22/11.42 apply (zenon_L32_); trivial.
% 11.22/11.42 apply zenon_H7d. apply refl_equal.
% 11.22/11.42 apply zenon_H7d. apply refl_equal.
% 11.22/11.42 apply zenon_H1d. apply refl_equal.
% 11.22/11.42 apply zenon_H7d. apply refl_equal.
% 11.22/11.42 apply zenon_H7d. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L33_ *)
% 11.22/11.42 assert (zenon_L34_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H7a zenon_H58 zenon_H78.
% 11.22/11.42 apply (zenon_notand_s _ _ ax8); [ zenon_intro zenon_H7b | zenon_intro zenon_H80 ].
% 11.22/11.42 apply (zenon_L33_); trivial.
% 11.22/11.42 apply (zenon_notand_s _ _ zenon_H80); [ zenon_intro zenon_H82 | zenon_intro zenon_H81 ].
% 11.22/11.42 elim (classic ((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1)))))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ].
% 11.22/11.42 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1))))) = ((e2) = (op (e1) (op (e1) (op (e1) (e1)))))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H82.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H83.
% 11.22/11.42 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1)))))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 11.22/11.42 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e1) (e0)) = (e2)) = ((op (e1) (op (e1) (op (e1) (e1)))) = (e2))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H85.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H58.
% 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.42 cut (((op (e1) (e0)) = (op (e1) (op (e1) (op (e1) (e1)))))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 11.22/11.42 congruence.
% 11.22/11.42 elim (classic ((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1)))))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ].
% 11.22/11.42 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1))))) = ((op (e1) (e0)) = (op (e1) (op (e1) (op (e1) (e1)))))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H86.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H83.
% 11.22/11.42 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1)))))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 11.22/11.42 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e1) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7e].
% 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.42 congruence.
% 11.22/11.42 apply zenon_H22. apply refl_equal.
% 11.22/11.42 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (op (e1) (e1))) = (e0))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H7e.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H7a.
% 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.42 cut (((op (e1) (e3)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7f].
% 11.22/11.42 congruence.
% 11.22/11.42 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ].
% 11.22/11.42 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e3)) = (op (e1) (op (e1) (e1))))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H7f.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H7c.
% 11.22/11.42 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7d].
% 11.22/11.42 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H77].
% 11.22/11.42 congruence.
% 11.22/11.42 apply (zenon_L32_); trivial.
% 11.22/11.42 apply zenon_H7d. apply refl_equal.
% 11.22/11.42 apply zenon_H7d. apply refl_equal.
% 11.22/11.42 apply zenon_H1d. apply refl_equal.
% 11.22/11.42 apply zenon_H84. apply refl_equal.
% 11.22/11.42 apply zenon_H84. apply refl_equal.
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 apply zenon_H84. apply refl_equal.
% 11.22/11.42 apply zenon_H84. apply refl_equal.
% 11.22/11.42 apply zenon_H81. apply sym_equal. exact zenon_H78.
% 11.22/11.42 (* end of lemma zenon_L34_ *)
% 11.22/11.42 assert (zenon_L35_ : ((op (e1) (e2)) = (e1)) -> ((op (e1) (e2)) = (e3)) -> (~((e1) = (e3))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H88 zenon_H89 zenon_H3c.
% 11.22/11.42 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.22/11.42 cut (((e3) = (e3)) = ((e1) = (e3))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H3c.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H35.
% 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.42 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e1) (e2)) = (e1)) = ((e3) = (e1))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H3d.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H88.
% 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.42 cut (((op (e1) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_H8a zenon_H89).
% 11.22/11.42 apply zenon_H22. apply refl_equal.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L35_ *)
% 11.22/11.42 assert (zenon_L36_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H7a zenon_H8b zenon_H34.
% 11.22/11.42 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.22/11.42 cut (((e3) = (e3)) = ((e0) = (e3))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H34.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H35.
% 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.42 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e1) (e3)) = (e0)) = ((e3) = (e0))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H37.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H7a.
% 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.42 cut (((op (e1) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8c].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_H8c zenon_H8b).
% 11.22/11.42 apply zenon_H1d. apply refl_equal.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L36_ *)
% 11.22/11.42 assert (zenon_L37_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H8d zenon_H41 zenon_H58 zenon_H3c zenon_H88 zenon_H7a zenon_H34.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.22/11.42 apply (zenon_L31_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.22/11.42 apply (zenon_L34_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.22/11.42 apply (zenon_L35_); trivial.
% 11.22/11.42 apply (zenon_L36_); trivial.
% 11.22/11.42 (* end of lemma zenon_L37_ *)
% 11.22/11.42 assert (zenon_L38_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H7a zenon_H90 zenon_H20.
% 11.22/11.42 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ].
% 11.22/11.42 cut (((e1) = (e1)) = ((e0) = (e1))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H20.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H21.
% 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.42 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e1) (e3)) = (e0)) = ((e1) = (e0))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H23.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H7a.
% 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.42 cut (((op (e1) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H91].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_H91 zenon_H90).
% 11.22/11.42 apply zenon_H1d. apply refl_equal.
% 11.22/11.42 apply zenon_H22. apply refl_equal.
% 11.22/11.42 apply zenon_H22. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L38_ *)
% 11.22/11.42 assert (zenon_L39_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H92 zenon_H30 zenon_H54 zenon_H34 zenon_H3c zenon_H58 zenon_H41 zenon_H8d zenon_H7a zenon_H20.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.22/11.42 apply (zenon_L26_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.22/11.42 exact (zenon_H54 zenon_H56).
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.22/11.42 apply (zenon_L37_); trivial.
% 11.22/11.42 apply (zenon_L38_); trivial.
% 11.22/11.42 (* end of lemma zenon_L39_ *)
% 11.22/11.42 assert (zenon_L40_ : (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H95 zenon_H6e zenon_H96.
% 11.22/11.42 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e2) (e3)))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H95.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H6e.
% 11.22/11.42 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 11.22/11.42 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 11.22/11.42 congruence.
% 11.22/11.42 apply zenon_H98. apply refl_equal.
% 11.22/11.42 apply zenon_H97. apply sym_equal. exact zenon_H96.
% 11.22/11.42 (* end of lemma zenon_L40_ *)
% 11.22/11.42 assert (zenon_L41_ : ((op (e3) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e2))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H99 zenon_H9a zenon_H30.
% 11.22/11.42 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ].
% 11.22/11.42 cut (((e2) = (e2)) = ((e1) = (e2))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H30.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H28.
% 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.42 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H31].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e3) (e0)) = (e1)) = ((e2) = (e1))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H31.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H99.
% 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.42 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_H9b zenon_H9a).
% 11.22/11.42 apply zenon_H22. apply refl_equal.
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L41_ *)
% 11.22/11.42 assert (zenon_L42_ : (~((e3) = (e3))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H36.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L42_ *)
% 11.22/11.42 assert (zenon_L43_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e0)))) -> ((op (e3) (e3)) = (e0)) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H9c zenon_H9d.
% 11.22/11.42 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H9e].
% 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.42 congruence.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 exact (zenon_H9e zenon_H9d).
% 11.22/11.42 (* end of lemma zenon_L43_ *)
% 11.22/11.42 assert (zenon_L44_ : ((op (e3) (e0)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> (~((e1) = (op (e3) (op (e3) (e3))))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H99 zenon_H9d zenon_H9f.
% 11.22/11.42 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ].
% 11.22/11.42 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e1) = (op (e3) (op (e3) (e3))))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H9f.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_Ha0.
% 11.22/11.42 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 11.22/11.42 cut (((op (e3) (op (e3) (e3))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (op (e3) (e3))) = (e1))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_Ha2.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H99.
% 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.42 cut (((op (e3) (e0)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 11.22/11.42 congruence.
% 11.22/11.42 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ].
% 11.22/11.42 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e0)) = (op (e3) (op (e3) (e3))))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_Ha3.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_Ha0.
% 11.22/11.42 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 11.22/11.42 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 11.22/11.42 congruence.
% 11.22/11.42 apply (zenon_L43_); trivial.
% 11.22/11.42 apply zenon_Ha1. apply refl_equal.
% 11.22/11.42 apply zenon_Ha1. apply refl_equal.
% 11.22/11.42 apply zenon_H22. apply refl_equal.
% 11.22/11.42 apply zenon_Ha1. apply refl_equal.
% 11.22/11.42 apply zenon_Ha1. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L44_ *)
% 11.22/11.42 assert (zenon_L45_ : ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H99 zenon_Ha4 zenon_H9d.
% 11.22/11.42 apply (zenon_notand_s _ _ ax15); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha5 ].
% 11.22/11.42 apply (zenon_L44_); trivial.
% 11.22/11.42 apply (zenon_notand_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha6 ].
% 11.22/11.42 elim (classic ((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3)))))); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha9 ].
% 11.22/11.42 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3))))) = ((e2) = (op (e3) (op (e3) (op (e3) (e3)))))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_Ha7.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_Ha8.
% 11.22/11.42 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3)))))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 11.22/11.42 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e3) (e1)) = (e2)) = ((op (e3) (op (e3) (op (e3) (e3)))) = (e2))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_Haa.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_Ha4.
% 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.42 cut (((op (e3) (e1)) = (op (e3) (op (e3) (op (e3) (e3)))))); [idtac | apply NNPP; zenon_intro zenon_Hab].
% 11.22/11.42 congruence.
% 11.22/11.42 elim (classic ((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3)))))); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha9 ].
% 11.22/11.42 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3))))) = ((op (e3) (e1)) = (op (e3) (op (e3) (op (e3) (e3)))))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_Hab.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_Ha8.
% 11.22/11.42 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3)))))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 11.22/11.42 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hac].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e3) (op (e3) (e3))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.42 congruence.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (op (e3) (e3))) = (e1))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_Ha2.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H99.
% 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.42 cut (((op (e3) (e0)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 11.22/11.42 congruence.
% 11.22/11.42 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ].
% 11.22/11.42 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e0)) = (op (e3) (op (e3) (e3))))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_Ha3.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_Ha0.
% 11.22/11.42 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 11.22/11.42 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 11.22/11.42 congruence.
% 11.22/11.42 apply (zenon_L43_); trivial.
% 11.22/11.42 apply zenon_Ha1. apply refl_equal.
% 11.22/11.42 apply zenon_Ha1. apply refl_equal.
% 11.22/11.42 apply zenon_H22. apply refl_equal.
% 11.22/11.42 apply zenon_Ha9. apply refl_equal.
% 11.22/11.42 apply zenon_Ha9. apply refl_equal.
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 apply zenon_Ha9. apply refl_equal.
% 11.22/11.42 apply zenon_Ha9. apply refl_equal.
% 11.22/11.42 apply zenon_Ha6. apply sym_equal. exact zenon_H9d.
% 11.22/11.42 (* end of lemma zenon_L45_ *)
% 11.22/11.42 assert (zenon_L46_ : (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> False).
% 11.22/11.42 do 0 intro. intros zenon_Had zenon_H5a zenon_Hae.
% 11.22/11.42 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e3) (e2)))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_Had.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H5a.
% 11.22/11.42 cut (((e2) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 11.22/11.42 congruence.
% 11.22/11.42 apply zenon_H5e. apply refl_equal.
% 11.22/11.42 apply zenon_Haf. apply sym_equal. exact zenon_Hae.
% 11.22/11.42 (* end of lemma zenon_L46_ *)
% 11.22/11.42 assert (zenon_L47_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_Hb0 zenon_H30 zenon_H9d zenon_H99 zenon_H5a zenon_Had zenon_Hb1.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.22/11.42 apply (zenon_L41_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.22/11.42 apply (zenon_L45_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.22/11.42 apply (zenon_L46_); trivial.
% 11.22/11.42 exact (zenon_Hb1 zenon_Hb4).
% 11.22/11.42 (* end of lemma zenon_L47_ *)
% 11.22/11.42 assert (zenon_L48_ : (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e0)) = (e0)) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H27 zenon_Hb5 zenon_H6e.
% 11.22/11.42 cut (((op (e2) (e0)) = (e2)) = ((e0) = (e2))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H27.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_Hb5.
% 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.42 cut (((op (e2) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_Hb6 zenon_H6e).
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L48_ *)
% 11.22/11.42 assert (zenon_L49_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (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 (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_Hb7 zenon_H4d zenon_H61 zenon_H5c zenon_H68 zenon_H69 zenon_H65 zenon_H49 zenon_Hb8 zenon_H2b zenon_Hb1 zenon_Had zenon_H5a zenon_Hb0 zenon_H95 zenon_H92 zenon_H54 zenon_H34 zenon_H3c zenon_H41 zenon_H8d zenon_H20 zenon_H71 zenon_H1e zenon_Hb9 zenon_H6e zenon_H27 zenon_H30.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.22/11.42 exact (zenon_H4d zenon_H4f).
% 11.22/11.42 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.22/11.42 apply (zenon_L28_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.22/11.42 apply (zenon_L29_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.22/11.42 exact (zenon_H2b zenon_H26).
% 11.22/11.42 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.22/11.42 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.22/11.42 apply (zenon_L30_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.22/11.42 apply (zenon_L39_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.22/11.42 apply (zenon_L40_); trivial.
% 11.22/11.42 apply (zenon_L47_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.22/11.42 apply (zenon_L48_); trivial.
% 11.22/11.42 apply (zenon_L41_); trivial.
% 11.22/11.42 (* end of lemma zenon_L49_ *)
% 11.22/11.42 assert (zenon_L50_ : ((op (e2) (e2)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H5a zenon_Hb5 zenon_Hc0.
% 11.22/11.42 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H5d | zenon_intro zenon_H5e ].
% 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e2) (e0)) = (op (e2) (e2)))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_Hc0.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H5d.
% 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc1].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e2) (e0)))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_Hc1.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H5a.
% 11.22/11.42 cut (((e2) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc2].
% 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 11.22/11.42 congruence.
% 11.22/11.42 apply zenon_H5e. apply refl_equal.
% 11.22/11.42 apply zenon_Hc2. apply sym_equal. exact zenon_Hb5.
% 11.22/11.42 apply zenon_H5e. apply refl_equal.
% 11.22/11.42 apply zenon_H5e. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L50_ *)
% 11.22/11.42 assert (zenon_L51_ : ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e2)) -> (~((e0) = (e2))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_Hc3 zenon_H9a zenon_H27.
% 11.22/11.42 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ].
% 11.22/11.42 cut (((e2) = (e2)) = ((e0) = (e2))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H27.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H28.
% 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.42 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e3) (e0)) = (e0)) = ((e2) = (e0))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H2a.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_Hc3.
% 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.42 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_H9b zenon_H9a).
% 11.22/11.42 apply zenon_H1d. apply refl_equal.
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L51_ *)
% 11.22/11.42 assert (zenon_L52_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_Hb8 zenon_H2b zenon_H30 zenon_H6d zenon_Hc0 zenon_H5a zenon_Hc3 zenon_H27.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.22/11.42 exact (zenon_H2b zenon_H26).
% 11.22/11.42 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.22/11.42 apply (zenon_L26_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.22/11.42 apply (zenon_L50_); trivial.
% 11.22/11.42 apply (zenon_L51_); trivial.
% 11.22/11.42 (* end of lemma zenon_L52_ *)
% 11.22/11.42 assert (zenon_L53_ : (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> False).
% 11.22/11.42 do 0 intro. intros zenon_Hc4 zenon_H6f zenon_Hc5.
% 11.22/11.42 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (e0)) = (op (e2) (e1)))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_Hc4.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H6f.
% 11.22/11.42 cut (((e1) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hc6].
% 11.22/11.42 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 11.22/11.42 congruence.
% 11.22/11.42 apply zenon_H98. apply refl_equal.
% 11.22/11.42 apply zenon_Hc6. apply sym_equal. exact zenon_Hc5.
% 11.22/11.42 (* end of lemma zenon_L53_ *)
% 11.22/11.42 assert (zenon_L54_ : ((op (e2) (e2)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H5a zenon_Hc7 zenon_Hc8.
% 11.22/11.42 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H5d | zenon_intro zenon_H5e ].
% 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e2) (e1)) = (op (e2) (e2)))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_Hc8.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H5d.
% 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hc9].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e2) (e1)))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_Hc9.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H5a.
% 11.22/11.42 cut (((e2) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hca].
% 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 11.22/11.42 congruence.
% 11.22/11.42 apply zenon_H5e. apply refl_equal.
% 11.22/11.42 apply zenon_Hca. apply sym_equal. exact zenon_Hc7.
% 11.22/11.42 apply zenon_H5e. apply refl_equal.
% 11.22/11.42 apply zenon_H5e. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L54_ *)
% 11.22/11.42 assert (zenon_L55_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e2) (e1)) = (e0)) -> False).
% 11.22/11.42 do 0 intro. intros zenon_Hcb zenon_H1e zenon_Hcc.
% 11.22/11.42 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e2) (e1)))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_Hcb.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H1e.
% 11.22/11.42 cut (((e0) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hcd].
% 11.22/11.42 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H74].
% 11.22/11.42 congruence.
% 11.22/11.42 apply zenon_H74. apply refl_equal.
% 11.22/11.42 apply zenon_Hcd. apply sym_equal. exact zenon_Hcc.
% 11.22/11.42 (* end of lemma zenon_L55_ *)
% 11.22/11.42 assert (zenon_L56_ : (~((e0) = (e2))) -> ((op (e2) (e2)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H27 zenon_H5a zenon_Hce.
% 11.22/11.42 cut (((op (e2) (e2)) = (e2)) = ((e0) = (e2))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H27.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H5a.
% 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.42 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_Hcf zenon_Hce).
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L56_ *)
% 11.22/11.42 assert (zenon_L57_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_Hd0 zenon_H2f zenon_H27.
% 11.22/11.42 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ].
% 11.22/11.42 cut (((e2) = (e2)) = ((e0) = (e2))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H27.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H28.
% 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.42 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e0) (e2)) = (e0)) = ((e2) = (e0))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H2a.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_Hd0.
% 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.42 cut (((op (e0) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_H32 zenon_H2f).
% 11.22/11.42 apply zenon_H1d. apply refl_equal.
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 apply zenon_H29. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L57_ *)
% 11.22/11.42 assert (zenon_L58_ : ((op (e0) (e0)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (e3))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H4f zenon_H33 zenon_H3c.
% 11.22/11.42 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.22/11.42 cut (((e3) = (e3)) = ((e1) = (e3))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H3c.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H35.
% 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.42 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e0) (e0)) = (e1)) = ((e3) = (e1))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H3d.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H4f.
% 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.42 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_H38 zenon_H33).
% 11.22/11.42 apply zenon_H22. apply refl_equal.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L58_ *)
% 11.22/11.42 assert (zenon_L59_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e3))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_Hd0 zenon_H3b zenon_H34.
% 11.22/11.42 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.22/11.42 cut (((e3) = (e3)) = ((e0) = (e3))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H34.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H35.
% 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.42 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e0) (e2)) = (e0)) = ((e3) = (e0))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H37.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_Hd0.
% 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.42 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_H3e zenon_H3b).
% 11.22/11.42 apply zenon_H1d. apply refl_equal.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 apply zenon_H36. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L59_ *)
% 11.22/11.42 assert (zenon_L60_ : (((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)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H44 zenon_H3c zenon_H4f zenon_H1e zenon_H34 zenon_Hd0 zenon_H3f zenon_H41.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.22/11.42 apply (zenon_L58_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.22/11.42 apply (zenon_L8_); trivial.
% 11.22/11.42 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.22/11.42 apply (zenon_L59_); trivial.
% 11.22/11.42 apply (zenon_L11_); trivial.
% 11.22/11.42 (* end of lemma zenon_L60_ *)
% 11.22/11.42 assert (zenon_L61_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_Hd0 zenon_H2e zenon_H20.
% 11.22/11.42 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ].
% 11.22/11.42 cut (((e1) = (e1)) = ((e0) = (e1))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H20.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H21.
% 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.42 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e0) (e2)) = (e0)) = ((e1) = (e0))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_H23.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_Hd0.
% 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.42 cut (((op (e0) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 11.22/11.42 congruence.
% 11.22/11.42 exact (zenon_Hd1 zenon_H2e).
% 11.22/11.42 apply zenon_H1d. apply refl_equal.
% 11.22/11.42 apply zenon_H22. apply refl_equal.
% 11.22/11.42 apply zenon_H22. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L61_ *)
% 11.22/11.42 assert (zenon_L62_ : (~((op (e0) (op (e0) (e0))) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.22/11.42 do 0 intro. intros zenon_Hd2 zenon_H33.
% 11.22/11.42 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.42 congruence.
% 11.22/11.42 apply zenon_H1d. apply refl_equal.
% 11.22/11.42 exact (zenon_H38 zenon_H33).
% 11.22/11.42 (* end of lemma zenon_L62_ *)
% 11.22/11.42 assert (zenon_L63_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (op (e0) (op (e0) (e0))))) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H47 zenon_H33 zenon_Hd3.
% 11.22/11.42 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd5 ].
% 11.22/11.42 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((e1) = (op (e0) (op (e0) (e0))))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_Hd3.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_Hd4.
% 11.22/11.42 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hd5].
% 11.22/11.42 cut (((op (e0) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (op (e0) (e0))) = (e1))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_Hd6.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H47.
% 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.42 cut (((op (e0) (e3)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hd7].
% 11.22/11.42 congruence.
% 11.22/11.42 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd5 ].
% 11.22/11.42 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e3)) = (op (e0) (op (e0) (e0))))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_Hd7.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_Hd4.
% 11.22/11.42 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hd5].
% 11.22/11.42 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 11.22/11.42 congruence.
% 11.22/11.42 apply (zenon_L62_); trivial.
% 11.22/11.42 apply zenon_Hd5. apply refl_equal.
% 11.22/11.42 apply zenon_Hd5. apply refl_equal.
% 11.22/11.42 apply zenon_H22. apply refl_equal.
% 11.22/11.42 apply zenon_Hd5. apply refl_equal.
% 11.22/11.42 apply zenon_Hd5. apply refl_equal.
% 11.22/11.42 (* end of lemma zenon_L63_ *)
% 11.22/11.42 assert (zenon_L64_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e0)) = (e3)) -> False).
% 11.22/11.42 do 0 intro. intros zenon_H47 zenon_H2c zenon_H33.
% 11.22/11.42 apply (zenon_notand_s _ _ ax14); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd8 ].
% 11.22/11.42 apply (zenon_L63_); trivial.
% 11.22/11.42 apply (zenon_notand_s _ _ zenon_Hd8); [ zenon_intro zenon_Hda | zenon_intro zenon_Hd9 ].
% 11.22/11.42 elim (classic ((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0)))))); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hdc ].
% 11.22/11.42 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0))))) = ((e2) = (op (e0) (op (e0) (op (e0) (e0)))))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_Hda.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_Hdb.
% 11.22/11.42 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0)))))); [idtac | apply NNPP; zenon_intro zenon_Hdc].
% 11.22/11.42 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hdd].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (op (e0) (op (e0) (e0)))) = (e2))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_Hdd.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H2c.
% 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.42 cut (((op (e0) (e1)) = (op (e0) (op (e0) (op (e0) (e0)))))); [idtac | apply NNPP; zenon_intro zenon_Hde].
% 11.22/11.42 congruence.
% 11.22/11.42 elim (classic ((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0)))))); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hdc ].
% 11.22/11.42 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0))))) = ((op (e0) (e1)) = (op (e0) (op (e0) (op (e0) (e0)))))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_Hde.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_Hdb.
% 11.22/11.42 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0)))))); [idtac | apply NNPP; zenon_intro zenon_Hdc].
% 11.22/11.42 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hdf].
% 11.22/11.42 congruence.
% 11.22/11.42 cut (((op (e0) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.42 congruence.
% 11.22/11.42 apply zenon_H1d. apply refl_equal.
% 11.22/11.42 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (op (e0) (e0))) = (e1))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_Hd6.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_H47.
% 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.42 cut (((op (e0) (e3)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hd7].
% 11.22/11.42 congruence.
% 11.22/11.42 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd5 ].
% 11.22/11.42 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e3)) = (op (e0) (op (e0) (e0))))).
% 11.22/11.42 intro zenon_D_pnotp.
% 11.22/11.42 apply zenon_Hd7.
% 11.22/11.42 rewrite <- zenon_D_pnotp.
% 11.22/11.42 exact zenon_Hd4.
% 11.22/11.42 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hd5].
% 11.22/11.42 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 11.22/11.42 congruence.
% 11.22/11.42 apply (zenon_L62_); trivial.
% 11.22/11.42 apply zenon_Hd5. apply refl_equal.
% 11.22/11.42 apply zenon_Hd5. apply refl_equal.
% 11.22/11.42 apply zenon_H22. apply refl_equal.
% 11.22/11.42 apply zenon_Hdc. apply refl_equal.
% 11.22/11.42 apply zenon_Hdc. apply refl_equal.
% 11.22/11.43 apply zenon_H29. apply refl_equal.
% 11.22/11.43 apply zenon_Hdc. apply refl_equal.
% 11.22/11.43 apply zenon_Hdc. apply refl_equal.
% 11.22/11.43 apply zenon_Hd9. apply sym_equal. exact zenon_H33.
% 11.22/11.43 (* end of lemma zenon_L64_ *)
% 11.22/11.43 assert (zenon_L65_ : ((op (e0) (e1)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((e2) = (e3))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H2c zenon_H39 zenon_H41.
% 11.22/11.43 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.22/11.43 cut (((e3) = (e3)) = ((e2) = (e3))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H41.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H35.
% 11.22/11.43 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.43 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H42].
% 11.22/11.43 congruence.
% 11.22/11.43 cut (((op (e0) (e1)) = (e2)) = ((e3) = (e2))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H42.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H2c.
% 11.22/11.43 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.43 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.22/11.43 congruence.
% 11.22/11.43 exact (zenon_H3a zenon_H39).
% 11.22/11.43 apply zenon_H29. apply refl_equal.
% 11.22/11.43 apply zenon_H36. apply refl_equal.
% 11.22/11.43 apply zenon_H36. apply refl_equal.
% 11.22/11.43 (* end of lemma zenon_L65_ *)
% 11.22/11.43 assert (zenon_L66_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H44 zenon_H41 zenon_H2c zenon_H34 zenon_Hd0 zenon_H47 zenon_H3c.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.22/11.43 apply (zenon_L64_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.22/11.43 apply (zenon_L65_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.22/11.43 apply (zenon_L59_); trivial.
% 11.22/11.43 apply (zenon_L14_); trivial.
% 11.22/11.43 (* end of lemma zenon_L66_ *)
% 11.22/11.43 assert (zenon_L67_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((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)) = (e1)) -> (~((e1) = (e2))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H49 zenon_H2b zenon_H3c zenon_H34 zenon_H41 zenon_H44 zenon_H27 zenon_Hd0 zenon_H47 zenon_H30.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.22/11.43 exact (zenon_H2b zenon_H26).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.22/11.43 apply (zenon_L66_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.22/11.43 apply (zenon_L57_); trivial.
% 11.22/11.43 apply (zenon_L15_); trivial.
% 11.22/11.43 (* end of lemma zenon_L67_ *)
% 11.22/11.43 assert (zenon_L68_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H4c zenon_H1e zenon_H20 zenon_H49 zenon_H2b zenon_H3c zenon_H34 zenon_H41 zenon_H44 zenon_H27 zenon_Hd0 zenon_H30.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.22/11.43 exact (zenon_H2b zenon_H26).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.22/11.43 apply (zenon_L4_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.22/11.43 apply (zenon_L57_); trivial.
% 11.22/11.43 apply (zenon_L60_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.22/11.43 apply (zenon_L2_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.22/11.43 apply (zenon_L61_); trivial.
% 11.22/11.43 apply (zenon_L67_); trivial.
% 11.22/11.43 (* end of lemma zenon_L68_ *)
% 11.22/11.43 assert (zenon_L69_ : ((op (e1) (e2)) = (e0)) -> ((op (e1) (e2)) = (e3)) -> (~((e0) = (e3))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_He0 zenon_H89 zenon_H34.
% 11.22/11.43 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.22/11.43 cut (((e3) = (e3)) = ((e0) = (e3))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H34.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H35.
% 11.22/11.43 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.43 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 11.22/11.43 congruence.
% 11.22/11.43 cut (((op (e1) (e2)) = (e0)) = ((e3) = (e0))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H37.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_He0.
% 11.22/11.43 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.43 cut (((op (e1) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 11.22/11.43 congruence.
% 11.22/11.43 exact (zenon_H8a zenon_H89).
% 11.22/11.43 apply zenon_H1d. apply refl_equal.
% 11.22/11.43 apply zenon_H36. apply refl_equal.
% 11.22/11.43 apply zenon_H36. apply refl_equal.
% 11.22/11.43 (* end of lemma zenon_L69_ *)
% 11.22/11.43 assert (zenon_L70_ : ((op (e2) (e2)) = (e2)) -> ((op (e2) (e2)) = (e3)) -> (~((e2) = (e3))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H5a zenon_He1 zenon_H41.
% 11.22/11.43 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.22/11.43 cut (((e3) = (e3)) = ((e2) = (e3))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H41.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H35.
% 11.22/11.43 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.43 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H42].
% 11.22/11.43 congruence.
% 11.22/11.43 cut (((op (e2) (e2)) = (e2)) = ((e3) = (e2))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H42.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H5a.
% 11.22/11.43 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.43 cut (((op (e2) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_He2].
% 11.22/11.43 congruence.
% 11.22/11.43 exact (zenon_He2 zenon_He1).
% 11.22/11.43 apply zenon_H29. apply refl_equal.
% 11.22/11.43 apply zenon_H36. apply refl_equal.
% 11.22/11.43 apply zenon_H36. apply refl_equal.
% 11.22/11.43 (* end of lemma zenon_L70_ *)
% 11.22/11.43 assert (zenon_L71_ : (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_He3 zenon_H96 zenon_H9d.
% 11.22/11.43 cut (((op (e2) (e3)) = (e0)) = ((op (e2) (e3)) = (op (e3) (e3)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_He3.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H96.
% 11.22/11.43 cut (((e0) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 11.22/11.43 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He4].
% 11.22/11.43 congruence.
% 11.22/11.43 apply zenon_He4. apply refl_equal.
% 11.22/11.43 apply zenon_Ha6. apply sym_equal. exact zenon_H9d.
% 11.22/11.43 (* end of lemma zenon_L71_ *)
% 11.22/11.43 assert (zenon_L72_ : (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_He5 zenon_He6 zenon_He7.
% 11.22/11.43 cut (((op (e3) (e1)) = (e1)) = ((op (e3) (e1)) = (op (e3) (e3)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_He5.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_He6.
% 11.22/11.43 cut (((e1) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He8].
% 11.22/11.43 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9].
% 11.22/11.43 congruence.
% 11.22/11.43 apply zenon_He9. apply refl_equal.
% 11.22/11.43 apply zenon_He8. apply sym_equal. exact zenon_He7.
% 11.22/11.43 (* end of lemma zenon_L72_ *)
% 11.22/11.43 assert (zenon_L73_ : (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_He5 zenon_Ha4 zenon_Hb4.
% 11.22/11.43 cut (((op (e3) (e1)) = (e2)) = ((op (e3) (e1)) = (op (e3) (e3)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_He5.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_Ha4.
% 11.22/11.43 cut (((e2) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 11.22/11.43 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9].
% 11.22/11.43 congruence.
% 11.22/11.43 apply zenon_He9. apply refl_equal.
% 11.22/11.43 apply zenon_Hea. apply sym_equal. exact zenon_Hb4.
% 11.22/11.43 (* end of lemma zenon_L73_ *)
% 11.22/11.43 assert (zenon_L74_ : (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_Heb zenon_Hec zenon_Hed.
% 11.22/11.43 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e3) (e3)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_Heb.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_Hec.
% 11.22/11.43 cut (((e3) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hee].
% 11.22/11.43 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 11.22/11.43 congruence.
% 11.22/11.43 apply zenon_Hef. apply refl_equal.
% 11.22/11.43 apply zenon_Hee. apply sym_equal. exact zenon_Hed.
% 11.22/11.43 (* end of lemma zenon_L74_ *)
% 11.22/11.43 assert (zenon_L75_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_Hf0 zenon_H96 zenon_He3 zenon_He6 zenon_Ha4 zenon_He5 zenon_Heb zenon_Hec.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.22/11.43 apply (zenon_L71_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.22/11.43 apply (zenon_L72_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.22/11.43 apply (zenon_L73_); trivial.
% 11.22/11.43 apply (zenon_L74_); trivial.
% 11.22/11.43 (* end of lemma zenon_L75_ *)
% 11.22/11.43 assert (zenon_L76_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_Hf3 zenon_H3c zenon_H2e zenon_H34 zenon_He0 zenon_H41 zenon_H5a zenon_Hf0 zenon_H96 zenon_He3 zenon_He6 zenon_Ha4 zenon_He5 zenon_Heb.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.22/11.43 apply (zenon_L9_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.22/11.43 apply (zenon_L69_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.22/11.43 apply (zenon_L70_); trivial.
% 11.22/11.43 apply (zenon_L75_); trivial.
% 11.22/11.43 (* end of lemma zenon_L76_ *)
% 11.22/11.43 assert (zenon_L77_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_Hf6 zenon_Hc3 zenon_Hf7.
% 11.22/11.43 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e2)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_Hf6.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_Hc3.
% 11.22/11.43 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf8].
% 11.22/11.43 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 11.22/11.43 congruence.
% 11.22/11.43 apply zenon_Hf9. apply refl_equal.
% 11.22/11.43 apply zenon_Hf8. apply sym_equal. exact zenon_Hf7.
% 11.22/11.43 (* end of lemma zenon_L77_ *)
% 11.22/11.43 assert (zenon_L78_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_Hfa zenon_H6f zenon_Hcb zenon_Hfb zenon_H30 zenon_H44 zenon_H2b zenon_H49 zenon_H20 zenon_H1e zenon_H4c zenon_Heb zenon_He5 zenon_Ha4 zenon_He6 zenon_He3 zenon_Hf0 zenon_H41 zenon_H34 zenon_H2e zenon_H3c zenon_Hf3 zenon_H5a zenon_H27 zenon_Hf6 zenon_Hc3.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.22/11.43 apply (zenon_L29_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.22/11.43 apply (zenon_L55_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.22/11.43 apply (zenon_L56_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.22/11.43 apply (zenon_L68_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.22/11.43 apply (zenon_L76_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.22/11.43 apply (zenon_L56_); trivial.
% 11.22/11.43 apply (zenon_L77_); trivial.
% 11.22/11.43 (* end of lemma zenon_L78_ *)
% 11.22/11.43 assert (zenon_L79_ : ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_Hc3 zenon_H99 zenon_H20.
% 11.22/11.43 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ].
% 11.22/11.43 cut (((e1) = (e1)) = ((e0) = (e1))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H20.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H21.
% 11.22/11.43 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.43 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 11.22/11.43 congruence.
% 11.22/11.43 cut (((op (e3) (e0)) = (e0)) = ((e1) = (e0))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H23.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_Hc3.
% 11.22/11.43 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.43 cut (((op (e3) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H100].
% 11.22/11.43 congruence.
% 11.22/11.43 exact (zenon_H100 zenon_H99).
% 11.22/11.43 apply zenon_H1d. apply refl_equal.
% 11.22/11.43 apply zenon_H22. apply refl_equal.
% 11.22/11.43 apply zenon_H22. apply refl_equal.
% 11.22/11.43 (* end of lemma zenon_L79_ *)
% 11.22/11.43 assert (zenon_L80_ : ((op (e3) (e2)) = (e3)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_Hec zenon_H3b zenon_H101.
% 11.22/11.43 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H102 | zenon_intro zenon_Hef ].
% 11.22/11.43 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e0) (e2)) = (op (e3) (e2)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H101.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H102.
% 11.22/11.43 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 11.22/11.43 cut (((op (e3) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H103].
% 11.22/11.43 congruence.
% 11.22/11.43 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e0) (e2)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H103.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_Hec.
% 11.22/11.43 cut (((e3) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H104].
% 11.22/11.43 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 11.22/11.43 congruence.
% 11.22/11.43 apply zenon_Hef. apply refl_equal.
% 11.22/11.43 apply zenon_H104. apply sym_equal. exact zenon_H3b.
% 11.22/11.43 apply zenon_Hef. apply refl_equal.
% 11.22/11.43 apply zenon_Hef. apply refl_equal.
% 11.22/11.43 (* end of lemma zenon_L80_ *)
% 11.22/11.43 assert (zenon_L81_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H44 zenon_H25 zenon_H34 zenon_H1e zenon_H101 zenon_Hec zenon_H3f zenon_H41.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.22/11.43 apply (zenon_L7_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.22/11.43 apply (zenon_L8_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.22/11.43 apply (zenon_L80_); trivial.
% 11.22/11.43 apply (zenon_L11_); trivial.
% 11.22/11.43 (* end of lemma zenon_L81_ *)
% 11.22/11.43 assert (zenon_L82_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H44 zenon_H41 zenon_H2c zenon_H101 zenon_Hec zenon_H47 zenon_H3c.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.22/11.43 apply (zenon_L64_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.22/11.43 apply (zenon_L65_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.22/11.43 apply (zenon_L80_); trivial.
% 11.22/11.43 apply (zenon_L14_); trivial.
% 11.22/11.43 (* end of lemma zenon_L82_ *)
% 11.22/11.43 assert (zenon_L83_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H49 zenon_H2b zenon_H3c zenon_Hec zenon_H101 zenon_H41 zenon_H44 zenon_H65 zenon_H5a zenon_H47 zenon_H30.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.22/11.43 exact (zenon_H2b zenon_H26).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.22/11.43 apply (zenon_L82_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.22/11.43 apply (zenon_L23_); trivial.
% 11.22/11.43 apply (zenon_L15_); trivial.
% 11.22/11.43 (* end of lemma zenon_L83_ *)
% 11.22/11.43 assert (zenon_L84_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H4c zenon_H4d zenon_H20 zenon_H1e zenon_H34 zenon_H25 zenon_H27 zenon_H49 zenon_H2b zenon_H3c zenon_Hec zenon_H101 zenon_H41 zenon_H44 zenon_H65 zenon_H5a zenon_H30.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.22/11.43 exact (zenon_H4d zenon_H4f).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.22/11.43 apply (zenon_L2_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.22/11.43 exact (zenon_H2b zenon_H26).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.22/11.43 apply (zenon_L4_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.22/11.43 apply (zenon_L6_); trivial.
% 11.22/11.43 apply (zenon_L81_); trivial.
% 11.22/11.43 apply (zenon_L83_); trivial.
% 11.22/11.43 (* end of lemma zenon_L84_ *)
% 11.22/11.43 assert (zenon_L85_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_Hfa zenon_H20 zenon_H6f zenon_H1e zenon_Hcb zenon_H5a zenon_H27 zenon_Hf0 zenon_He3 zenon_He6 zenon_Ha4 zenon_He5 zenon_Heb zenon_Hec.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.22/11.43 apply (zenon_L29_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.22/11.43 apply (zenon_L55_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.22/11.43 apply (zenon_L56_); trivial.
% 11.22/11.43 apply (zenon_L75_); trivial.
% 11.22/11.43 (* end of lemma zenon_L85_ *)
% 11.22/11.43 assert (zenon_L86_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H105 zenon_H54 zenon_Hc4 zenon_H106 zenon_H68 zenon_Hc8 zenon_Hfa zenon_H20 zenon_H6f zenon_H1e zenon_Hcb zenon_H5a zenon_H27 zenon_Hf0 zenon_He3 zenon_He5 zenon_Heb zenon_Hec.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.22/11.43 apply (zenon_L2_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.22/11.43 exact (zenon_H54 zenon_H56).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.22/11.43 apply (zenon_L53_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.22/11.43 apply (zenon_L4_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.22/11.43 exact (zenon_H68 zenon_H6c).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.22/11.43 apply (zenon_L54_); trivial.
% 11.22/11.43 apply (zenon_L85_); trivial.
% 11.22/11.43 (* end of lemma zenon_L86_ *)
% 11.22/11.43 assert (zenon_L87_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H10b zenon_H1e zenon_H10c.
% 11.22/11.43 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e1) (e1)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H10b.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H1e.
% 11.22/11.43 cut (((e0) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H10d].
% 11.22/11.43 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H74].
% 11.22/11.43 congruence.
% 11.22/11.43 apply zenon_H74. apply refl_equal.
% 11.22/11.43 apply zenon_H10d. apply sym_equal. exact zenon_H10c.
% 11.22/11.43 (* end of lemma zenon_L87_ *)
% 11.22/11.43 assert (zenon_L88_ : (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H10e zenon_H57 zenon_He0.
% 11.22/11.43 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e1) (e2)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H10e.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H57.
% 11.22/11.43 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10f].
% 11.22/11.43 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 11.22/11.43 congruence.
% 11.22/11.43 apply zenon_H110. apply refl_equal.
% 11.22/11.43 apply zenon_H10f. apply sym_equal. exact zenon_He0.
% 11.22/11.43 (* end of lemma zenon_L88_ *)
% 11.22/11.43 assert (zenon_L89_ : (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e0)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H34 zenon_Hec zenon_Hf7.
% 11.22/11.43 cut (((op (e3) (e2)) = (e3)) = ((e0) = (e3))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H34.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_Hec.
% 11.22/11.43 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.43 cut (((op (e3) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H111].
% 11.22/11.43 congruence.
% 11.22/11.43 exact (zenon_H111 zenon_Hf7).
% 11.22/11.43 apply zenon_H36. apply refl_equal.
% 11.22/11.43 (* end of lemma zenon_L89_ *)
% 11.22/11.43 assert (zenon_L90_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e0)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_Hf3 zenon_H2e zenon_H3c zenon_H88 zenon_H41 zenon_H5a zenon_H34 zenon_Hf7.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.22/11.43 apply (zenon_L9_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.22/11.43 apply (zenon_L35_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.22/11.43 apply (zenon_L70_); trivial.
% 11.22/11.43 apply (zenon_L89_); trivial.
% 11.22/11.43 (* end of lemma zenon_L90_ *)
% 11.22/11.43 assert (zenon_L91_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e3))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_Hfb zenon_H30 zenon_H44 zenon_H2b zenon_H49 zenon_H20 zenon_H1e zenon_H4c zenon_H57 zenon_H10e zenon_H27 zenon_Hf3 zenon_H2e zenon_H3c zenon_H88 zenon_H41 zenon_H5a zenon_H34.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.22/11.43 apply (zenon_L68_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.22/11.43 apply (zenon_L88_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.22/11.43 apply (zenon_L56_); trivial.
% 11.22/11.43 apply (zenon_L90_); trivial.
% 11.22/11.43 (* end of lemma zenon_L91_ *)
% 11.22/11.43 assert (zenon_L92_ : (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H20 zenon_H88 zenon_He0.
% 11.22/11.43 cut (((op (e1) (e2)) = (e1)) = ((e0) = (e1))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H20.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H88.
% 11.22/11.43 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.43 cut (((op (e1) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 11.22/11.43 congruence.
% 11.22/11.43 exact (zenon_H112 zenon_He0).
% 11.22/11.43 apply zenon_H22. apply refl_equal.
% 11.22/11.43 (* end of lemma zenon_L92_ *)
% 11.22/11.43 assert (zenon_L93_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e3))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H113 zenon_H5a zenon_H2e zenon_Hf3 zenon_H27 zenon_H10e zenon_H4c zenon_H49 zenon_H2b zenon_H44 zenon_H30 zenon_Hfb zenon_H1e zenon_H10b zenon_H20 zenon_H8d zenon_H41 zenon_H58 zenon_H3c zenon_H88 zenon_H34.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.22/11.43 apply (zenon_L91_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.22/11.43 apply (zenon_L87_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.22/11.43 apply (zenon_L92_); trivial.
% 11.22/11.43 apply (zenon_L37_); trivial.
% 11.22/11.43 (* end of lemma zenon_L93_ *)
% 11.22/11.43 assert (zenon_L94_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_Hb8 zenon_H34 zenon_H88 zenon_H3c zenon_H41 zenon_H8d zenon_H20 zenon_H10b zenon_H1e zenon_Hfb zenon_H44 zenon_H2b zenon_H49 zenon_H4c zenon_H10e zenon_Hf3 zenon_H2e zenon_H5a zenon_H113 zenon_H6e zenon_H27 zenon_H99 zenon_H30.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.22/11.43 exact (zenon_H2b zenon_H26).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.22/11.43 apply (zenon_L93_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.22/11.43 apply (zenon_L48_); trivial.
% 11.22/11.43 apply (zenon_L41_); trivial.
% 11.22/11.43 (* end of lemma zenon_L94_ *)
% 11.22/11.43 assert (zenon_L95_ : (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e1)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H30 zenon_Hc7 zenon_Hc5.
% 11.22/11.43 cut (((op (e2) (e1)) = (e2)) = ((e1) = (e2))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H30.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_Hc7.
% 11.22/11.43 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.43 cut (((op (e2) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H116].
% 11.22/11.43 congruence.
% 11.22/11.43 exact (zenon_H116 zenon_Hc5).
% 11.22/11.43 apply zenon_H29. apply refl_equal.
% 11.22/11.43 (* end of lemma zenon_L95_ *)
% 11.22/11.43 assert (zenon_L96_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H117 zenon_H90 zenon_H118.
% 11.22/11.43 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e2) (e3)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H117.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H90.
% 11.22/11.43 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H119].
% 11.22/11.43 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a].
% 11.22/11.43 congruence.
% 11.22/11.43 apply zenon_H11a. apply refl_equal.
% 11.22/11.43 apply zenon_H119. apply sym_equal. exact zenon_H118.
% 11.22/11.43 (* end of lemma zenon_L96_ *)
% 11.22/11.43 assert (zenon_L97_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H11b zenon_H20 zenon_H6e zenon_Hc7 zenon_H30 zenon_H11c zenon_H117 zenon_H90.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.22/11.43 apply (zenon_L29_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.22/11.43 apply (zenon_L95_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.22/11.43 exact (zenon_H11c zenon_H11f).
% 11.22/11.43 apply (zenon_L96_); trivial.
% 11.22/11.43 (* end of lemma zenon_L97_ *)
% 11.22/11.43 assert (zenon_L98_ : ((op (e3) (e1)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> (~((e0) = (e2))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H120 zenon_Ha4 zenon_H27.
% 11.22/11.43 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ].
% 11.22/11.43 cut (((e2) = (e2)) = ((e0) = (e2))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H27.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H28.
% 11.22/11.43 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.43 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 11.22/11.43 congruence.
% 11.22/11.43 cut (((op (e3) (e1)) = (e0)) = ((e2) = (e0))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H2a.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H120.
% 11.22/11.43 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.43 cut (((op (e3) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H121].
% 11.22/11.43 congruence.
% 11.22/11.43 exact (zenon_H121 zenon_Ha4).
% 11.22/11.43 apply zenon_H1d. apply refl_equal.
% 11.22/11.43 apply zenon_H29. apply refl_equal.
% 11.22/11.43 apply zenon_H29. apply refl_equal.
% 11.22/11.43 (* end of lemma zenon_L98_ *)
% 11.22/11.43 assert (zenon_L99_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H122 zenon_H20 zenon_H27 zenon_Hec zenon_H34 zenon_H99 zenon_Ha4.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ].
% 11.22/11.43 apply (zenon_L79_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ].
% 11.22/11.43 apply (zenon_L98_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ].
% 11.22/11.43 apply (zenon_L89_); trivial.
% 11.22/11.43 apply (zenon_L45_); trivial.
% 11.22/11.43 (* end of lemma zenon_L99_ *)
% 11.22/11.43 assert (zenon_L100_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_Hf3 zenon_H3c zenon_H2e zenon_He0 zenon_H41 zenon_H5a zenon_H122 zenon_H20 zenon_H27 zenon_H34 zenon_H99 zenon_Ha4.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.22/11.43 apply (zenon_L9_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.22/11.43 apply (zenon_L69_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.22/11.43 apply (zenon_L70_); trivial.
% 11.22/11.43 apply (zenon_L99_); trivial.
% 11.22/11.43 (* end of lemma zenon_L100_ *)
% 11.22/11.43 assert (zenon_L101_ : ((op (e3) (e2)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_Hec zenon_H89 zenon_H125.
% 11.22/11.43 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H102 | zenon_intro zenon_Hef ].
% 11.22/11.43 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e1) (e2)) = (op (e3) (e2)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H125.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H102.
% 11.22/11.43 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 11.22/11.43 cut (((op (e3) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H126].
% 11.22/11.43 congruence.
% 11.22/11.43 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e1) (e2)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H126.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_Hec.
% 11.22/11.43 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H127].
% 11.22/11.43 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 11.22/11.43 congruence.
% 11.22/11.43 apply zenon_Hef. apply refl_equal.
% 11.22/11.43 apply zenon_H127. apply sym_equal. exact zenon_H89.
% 11.22/11.43 apply zenon_Hef. apply refl_equal.
% 11.22/11.43 apply zenon_Hef. apply refl_equal.
% 11.22/11.43 (* end of lemma zenon_L101_ *)
% 11.22/11.43 assert (zenon_L102_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H8d zenon_H41 zenon_H58 zenon_H125 zenon_Hec zenon_H7a zenon_H34.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.22/11.43 apply (zenon_L31_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.22/11.43 apply (zenon_L34_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.22/11.43 apply (zenon_L101_); trivial.
% 11.22/11.43 apply (zenon_L36_); trivial.
% 11.22/11.43 (* end of lemma zenon_L102_ *)
% 11.22/11.43 assert (zenon_L103_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> (~((e0) = (e2))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H7a zenon_H62 zenon_H27.
% 11.22/11.43 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ].
% 11.22/11.43 cut (((e2) = (e2)) = ((e0) = (e2))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H27.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H28.
% 11.22/11.43 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.43 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 11.22/11.43 congruence.
% 11.22/11.43 cut (((op (e1) (e3)) = (e0)) = ((e2) = (e0))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H2a.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H7a.
% 11.22/11.43 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.43 cut (((op (e1) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H128].
% 11.22/11.43 congruence.
% 11.22/11.43 exact (zenon_H128 zenon_H62).
% 11.22/11.43 apply zenon_H1d. apply refl_equal.
% 11.22/11.43 apply zenon_H29. apply refl_equal.
% 11.22/11.43 apply zenon_H29. apply refl_equal.
% 11.22/11.43 (* end of lemma zenon_L103_ *)
% 11.22/11.43 assert (zenon_L104_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H69 zenon_H34 zenon_Hec zenon_H125 zenon_H41 zenon_H8d zenon_H68 zenon_H5c zenon_H5a zenon_H7a zenon_H27.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.22/11.43 apply (zenon_L102_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.22/11.43 exact (zenon_H68 zenon_H6c).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.22/11.43 apply (zenon_L21_); trivial.
% 11.22/11.43 apply (zenon_L103_); trivial.
% 11.22/11.43 (* end of lemma zenon_L104_ *)
% 11.22/11.43 assert (zenon_L105_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (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)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H4c zenon_H4d zenon_H20 zenon_H41 zenon_H3c zenon_H34 zenon_H25 zenon_H44 zenon_H49 zenon_H2b zenon_H27 zenon_H1e zenon_H65 zenon_H5a zenon_H30.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.22/11.43 exact (zenon_H4d zenon_H4f).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.22/11.43 apply (zenon_L2_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.22/11.43 exact (zenon_H2b zenon_H26).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.22/11.43 apply (zenon_L4_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.22/11.43 apply (zenon_L23_); trivial.
% 11.22/11.43 apply (zenon_L12_); trivial.
% 11.22/11.43 apply (zenon_L24_); trivial.
% 11.22/11.43 (* end of lemma zenon_L105_ *)
% 11.22/11.43 assert (zenon_L106_ : ((op (e1) (e2)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H88 zenon_H6d zenon_H10e.
% 11.22/11.43 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H129 | zenon_intro zenon_H12a ].
% 11.22/11.43 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e1) (e0)) = (op (e1) (e2)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H10e.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H129.
% 11.22/11.43 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H12a].
% 11.22/11.43 cut (((op (e1) (e2)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 11.22/11.43 congruence.
% 11.22/11.43 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e1) (e0)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H12b.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H88.
% 11.22/11.43 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H12c].
% 11.22/11.43 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H12a].
% 11.22/11.43 congruence.
% 11.22/11.43 apply zenon_H12a. apply refl_equal.
% 11.22/11.43 apply zenon_H12c. apply sym_equal. exact zenon_H6d.
% 11.22/11.43 apply zenon_H12a. apply refl_equal.
% 11.22/11.43 apply zenon_H12a. apply refl_equal.
% 11.22/11.43 (* end of lemma zenon_L106_ *)
% 11.22/11.43 assert (zenon_L107_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_Hb7 zenon_H4d zenon_Hb8 zenon_H34 zenon_H88 zenon_H3c zenon_H41 zenon_H8d zenon_H20 zenon_H10b zenon_H1e zenon_Hfb zenon_H44 zenon_H2b zenon_H49 zenon_H4c zenon_H10e zenon_Hf3 zenon_H2e zenon_H5a zenon_H113 zenon_H6e zenon_H27 zenon_H30.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.22/11.43 exact (zenon_H4d zenon_H4f).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.22/11.43 apply (zenon_L106_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.22/11.43 apply (zenon_L29_); trivial.
% 11.22/11.43 apply (zenon_L94_); trivial.
% 11.22/11.43 (* end of lemma zenon_L107_ *)
% 11.22/11.43 assert (zenon_L108_ : (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H30 zenon_Hb5 zenon_H6f.
% 11.22/11.43 cut (((op (e2) (e0)) = (e2)) = ((e1) = (e2))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H30.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_Hb5.
% 11.22/11.43 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.43 cut (((op (e2) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H70].
% 11.22/11.43 congruence.
% 11.22/11.43 exact (zenon_H70 zenon_H6f).
% 11.22/11.43 apply zenon_H29. apply refl_equal.
% 11.22/11.43 (* end of lemma zenon_L108_ *)
% 11.22/11.43 assert (zenon_L109_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_Hb7 zenon_H4d zenon_Hc0 zenon_H27 zenon_H30 zenon_H113 zenon_H5a zenon_H2e zenon_Hf3 zenon_H10e zenon_H4c zenon_H49 zenon_H2b zenon_H44 zenon_Hfb zenon_H1e zenon_H10b zenon_H8d zenon_H41 zenon_H3c zenon_H88 zenon_H34 zenon_Hb8 zenon_Hc3 zenon_H20.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.22/11.43 exact (zenon_H4d zenon_H4f).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.22/11.43 apply (zenon_L52_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.22/11.43 exact (zenon_H2b zenon_H26).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.22/11.43 apply (zenon_L93_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.22/11.43 apply (zenon_L108_); trivial.
% 11.22/11.43 apply (zenon_L51_); trivial.
% 11.22/11.43 apply (zenon_L79_); trivial.
% 11.22/11.43 (* end of lemma zenon_L109_ *)
% 11.22/11.43 assert (zenon_L110_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (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 (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H12d zenon_H20 zenon_Hb8 zenon_H34 zenon_H88 zenon_H3c zenon_H41 zenon_H8d zenon_H10b zenon_Hfb zenon_H44 zenon_H4c zenon_H10e zenon_Hf3 zenon_H113 zenon_Hc0 zenon_H4d zenon_Hb7 zenon_H49 zenon_H2b zenon_H27 zenon_H1e zenon_H65 zenon_H5a zenon_H30.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.22/11.43 apply (zenon_L105_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.22/11.43 exact (zenon_H4d zenon_H4f).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.22/11.43 apply (zenon_L2_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.22/11.43 apply (zenon_L91_); trivial.
% 11.22/11.43 apply (zenon_L24_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.22/11.43 exact (zenon_H4d zenon_H4f).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.22/11.43 apply (zenon_L2_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.22/11.43 apply (zenon_L107_); trivial.
% 11.22/11.43 apply (zenon_L24_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.22/11.43 exact (zenon_H4d zenon_H4f).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.22/11.43 apply (zenon_L2_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.22/11.43 apply (zenon_L109_); trivial.
% 11.22/11.43 apply (zenon_L24_); trivial.
% 11.22/11.43 (* end of lemma zenon_L110_ *)
% 11.22/11.43 assert (zenon_L111_ : (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H130 zenon_H1e zenon_Hd0.
% 11.22/11.43 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e0) (e2)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H130.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H1e.
% 11.22/11.43 cut (((e0) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H131].
% 11.22/11.43 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H74].
% 11.22/11.43 congruence.
% 11.22/11.43 apply zenon_H74. apply refl_equal.
% 11.22/11.43 apply zenon_H131. apply sym_equal. exact zenon_Hd0.
% 11.22/11.43 (* end of lemma zenon_L111_ *)
% 11.22/11.43 assert (zenon_L112_ : (((op (e2) (e2)) = (e2))/\(((~((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) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((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 (e0) (e1)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (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) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H132 zenon_H130 zenon_H101 zenon_H10b zenon_H11b zenon_H117 zenon_H11c zenon_H122 zenon_H113 zenon_H10e zenon_H125 zenon_H4c zenon_H27 zenon_H30 zenon_H44 zenon_H41 zenon_H3c zenon_H34 zenon_H49 zenon_H1e zenon_H20 zenon_H4d zenon_H65 zenon_H69 zenon_H61 zenon_H5c zenon_Hb7 zenon_Hb9 zenon_Had zenon_Hb0 zenon_H95 zenon_H54 zenon_H8d zenon_H92 zenon_H71 zenon_Hb8 zenon_Hc0 zenon_H105 zenon_Hc8 zenon_Hfa zenon_Hf3 zenon_He3 zenon_He5 zenon_Heb zenon_Hf0 zenon_Hf6 zenon_Hfb zenon_Hcb zenon_H106 zenon_Hc4 zenon_H12d.
% 11.22/11.43 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133.
% 11.22/11.43 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134.
% 11.22/11.43 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136.
% 11.22/11.43 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H139. zenon_intro zenon_H138.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ].
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ].
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ].
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.22/11.43 apply (zenon_L17_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.22/11.43 apply (zenon_L25_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.22/11.43 apply (zenon_L49_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.22/11.43 exact (zenon_H4d zenon_H4f).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.22/11.43 apply (zenon_L2_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.22/11.43 exact (zenon_H4d zenon_H4f).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.22/11.43 apply (zenon_L52_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.22/11.43 apply (zenon_L2_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.22/11.43 exact (zenon_H54 zenon_H56).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.22/11.43 apply (zenon_L53_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.22/11.43 apply (zenon_L4_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.22/11.43 exact (zenon_H68 zenon_H6c).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.22/11.43 apply (zenon_L54_); trivial.
% 11.22/11.43 apply (zenon_L78_); trivial.
% 11.22/11.43 apply (zenon_L79_); trivial.
% 11.22/11.43 apply (zenon_L24_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.22/11.43 apply (zenon_L84_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.22/11.43 apply (zenon_L25_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.22/11.43 exact (zenon_H4d zenon_H4f).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.22/11.43 apply (zenon_L2_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.22/11.43 exact (zenon_H4d zenon_H4f).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.22/11.43 apply (zenon_L28_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.22/11.43 apply (zenon_L86_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.22/11.43 exact (zenon_H2b zenon_H26).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.22/11.43 apply (zenon_L20_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.22/11.43 apply (zenon_L87_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.22/11.43 apply (zenon_L26_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.22/11.43 exact (zenon_H54 zenon_H56).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.22/11.43 apply (zenon_L94_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.22/11.43 apply (zenon_L4_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.22/11.43 exact (zenon_H68 zenon_H6c).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.22/11.43 apply (zenon_L97_); trivial.
% 11.22/11.43 apply (zenon_L100_); trivial.
% 11.22/11.43 apply (zenon_L104_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.22/11.43 apply (zenon_L48_); trivial.
% 11.22/11.43 apply (zenon_L41_); trivial.
% 11.22/11.43 apply (zenon_L24_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.22/11.43 exact (zenon_H4d zenon_H4f).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.22/11.43 apply (zenon_L28_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.22/11.43 apply (zenon_L86_); trivial.
% 11.22/11.43 apply (zenon_L79_); trivial.
% 11.22/11.43 apply (zenon_L110_); trivial.
% 11.22/11.43 apply (zenon_L111_); trivial.
% 11.22/11.43 (* end of lemma zenon_L112_ *)
% 11.22/11.43 assert (zenon_L113_ : ((op (e3) (e3)) = (e3)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_Hed zenon_H40 zenon_H13a.
% 11.22/11.43 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H13b | zenon_intro zenon_H13c ].
% 11.22/11.43 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e0) (e3)) = (op (e3) (e3)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H13a.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H13b.
% 11.22/11.43 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H13c].
% 11.22/11.43 cut (((op (e3) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H13d].
% 11.22/11.43 congruence.
% 11.22/11.43 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e0) (e3)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H13d.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_Hed.
% 11.22/11.43 cut (((e3) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H13e].
% 11.22/11.43 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H13c].
% 11.22/11.43 congruence.
% 11.22/11.43 apply zenon_H13c. apply refl_equal.
% 11.22/11.43 apply zenon_H13e. apply sym_equal. exact zenon_H40.
% 11.22/11.43 apply zenon_H13c. apply refl_equal.
% 11.22/11.43 apply zenon_H13c. apply refl_equal.
% 11.22/11.43 (* end of lemma zenon_L113_ *)
% 11.22/11.43 assert (zenon_L114_ : (((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 (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H44 zenon_H38 zenon_H34 zenon_H1e zenon_H3c zenon_H2e zenon_Hed zenon_H13a.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.22/11.43 exact (zenon_H38 zenon_H33).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.22/11.43 apply (zenon_L8_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.22/11.43 apply (zenon_L9_); trivial.
% 11.22/11.43 apply (zenon_L113_); trivial.
% 11.22/11.43 (* end of lemma zenon_L114_ *)
% 11.22/11.43 assert (zenon_L115_ : (((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)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H44 zenon_H38 zenon_H34 zenon_H1e zenon_H41 zenon_H2f zenon_Hed zenon_H13a.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.22/11.43 exact (zenon_H38 zenon_H33).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.22/11.43 apply (zenon_L8_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.22/11.43 apply (zenon_L13_); trivial.
% 11.22/11.43 apply (zenon_L113_); trivial.
% 11.22/11.43 (* end of lemma zenon_L115_ *)
% 11.22/11.43 assert (zenon_L116_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H49 zenon_H25 zenon_H27 zenon_H13a zenon_Hed zenon_H41 zenon_H1e zenon_H34 zenon_H38 zenon_H44 zenon_H47 zenon_H30.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.22/11.43 apply (zenon_L3_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.22/11.43 apply (zenon_L4_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.22/11.43 apply (zenon_L115_); trivial.
% 11.22/11.43 apply (zenon_L15_); trivial.
% 11.22/11.43 (* end of lemma zenon_L116_ *)
% 11.22/11.43 assert (zenon_L117_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H4c zenon_H4d zenon_H20 zenon_H3c zenon_H49 zenon_H25 zenon_H27 zenon_H13a zenon_Hed zenon_H41 zenon_H1e zenon_H34 zenon_H38 zenon_H44 zenon_H30.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.22/11.43 exact (zenon_H4d zenon_H4f).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.22/11.43 apply (zenon_L2_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.22/11.43 apply (zenon_L114_); trivial.
% 11.22/11.43 apply (zenon_L116_); trivial.
% 11.22/11.43 (* end of lemma zenon_L117_ *)
% 11.22/11.43 assert (zenon_L118_ : ((op (e1) (e0)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> (~((e0) = (e3))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H57 zenon_H75 zenon_H34.
% 11.22/11.43 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.22/11.43 cut (((e3) = (e3)) = ((e0) = (e3))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H34.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H35.
% 11.22/11.43 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.43 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 11.22/11.43 congruence.
% 11.22/11.43 cut (((op (e1) (e0)) = (e0)) = ((e3) = (e0))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H37.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H57.
% 11.22/11.43 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.43 cut (((op (e1) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 11.22/11.43 congruence.
% 11.22/11.43 exact (zenon_H76 zenon_H75).
% 11.22/11.43 apply zenon_H1d. apply refl_equal.
% 11.22/11.43 apply zenon_H36. apply refl_equal.
% 11.22/11.43 apply zenon_H36. apply refl_equal.
% 11.22/11.43 (* end of lemma zenon_L118_ *)
% 11.22/11.43 assert (zenon_L119_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H13f zenon_H3b zenon_H89.
% 11.22/11.43 cut (((op (e0) (e2)) = (e3)) = ((op (e0) (e2)) = (op (e1) (e2)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H13f.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H3b.
% 11.22/11.43 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H127].
% 11.22/11.43 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H140].
% 11.22/11.43 congruence.
% 11.22/11.43 apply zenon_H140. apply refl_equal.
% 11.22/11.43 apply zenon_H127. apply sym_equal. exact zenon_H89.
% 11.22/11.43 (* end of lemma zenon_L119_ *)
% 11.22/11.43 assert (zenon_L120_ : ((op (e3) (e3)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_Hed zenon_H8b zenon_H141.
% 11.22/11.43 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H13b | zenon_intro zenon_H13c ].
% 11.22/11.43 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e1) (e3)) = (op (e3) (e3)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H141.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H13b.
% 11.22/11.43 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H13c].
% 11.22/11.43 cut (((op (e3) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H142].
% 11.22/11.43 congruence.
% 11.22/11.43 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e1) (e3)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H142.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_Hed.
% 11.22/11.43 cut (((e3) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H143].
% 11.22/11.43 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H13c].
% 11.22/11.43 congruence.
% 11.22/11.43 apply zenon_H13c. apply refl_equal.
% 11.22/11.43 apply zenon_H143. apply sym_equal. exact zenon_H8b.
% 11.22/11.43 apply zenon_H13c. apply refl_equal.
% 11.22/11.43 apply zenon_H13c. apply refl_equal.
% 11.22/11.43 (* end of lemma zenon_L120_ *)
% 11.22/11.43 assert (zenon_L121_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H8d zenon_H34 zenon_H57 zenon_H79 zenon_H3b zenon_H13f zenon_Hed zenon_H141.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.22/11.43 apply (zenon_L118_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.22/11.43 exact (zenon_H79 zenon_H78).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.22/11.43 apply (zenon_L119_); trivial.
% 11.22/11.43 apply (zenon_L120_); trivial.
% 11.22/11.43 (* end of lemma zenon_L121_ *)
% 11.22/11.43 assert (zenon_L122_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H44 zenon_H38 zenon_H1e zenon_H141 zenon_H13f zenon_H79 zenon_H57 zenon_H34 zenon_H8d zenon_Hed zenon_H13a.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.22/11.43 exact (zenon_H38 zenon_H33).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.22/11.43 apply (zenon_L8_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.22/11.43 apply (zenon_L121_); trivial.
% 11.22/11.43 apply (zenon_L113_); trivial.
% 11.22/11.43 (* end of lemma zenon_L122_ *)
% 11.22/11.43 assert (zenon_L123_ : ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> (~((e1) = (e3))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H6d zenon_H75 zenon_H3c.
% 11.22/11.43 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.22/11.43 cut (((e3) = (e3)) = ((e1) = (e3))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H3c.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H35.
% 11.22/11.43 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.43 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 11.22/11.43 congruence.
% 11.22/11.43 cut (((op (e1) (e0)) = (e1)) = ((e3) = (e1))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H3d.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H6d.
% 11.22/11.43 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.43 cut (((op (e1) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 11.22/11.43 congruence.
% 11.22/11.43 exact (zenon_H76 zenon_H75).
% 11.22/11.43 apply zenon_H22. apply refl_equal.
% 11.22/11.43 apply zenon_H36. apply refl_equal.
% 11.22/11.43 apply zenon_H36. apply refl_equal.
% 11.22/11.43 (* end of lemma zenon_L123_ *)
% 11.22/11.43 assert (zenon_L124_ : (((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 (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H8d zenon_H3c zenon_H6d zenon_H79 zenon_H3b zenon_H13f zenon_Hed zenon_H141.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.22/11.43 apply (zenon_L123_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.22/11.43 exact (zenon_H79 zenon_H78).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.22/11.43 apply (zenon_L119_); trivial.
% 11.22/11.43 apply (zenon_L120_); trivial.
% 11.22/11.43 (* end of lemma zenon_L124_ *)
% 11.22/11.43 assert (zenon_L125_ : (((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 (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H44 zenon_H38 zenon_H34 zenon_H1e zenon_H141 zenon_Hed zenon_H13f zenon_H79 zenon_H6d zenon_H8d zenon_H47 zenon_H3c.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.22/11.43 exact (zenon_H38 zenon_H33).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.22/11.43 apply (zenon_L8_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.22/11.43 apply (zenon_L124_); trivial.
% 11.22/11.43 apply (zenon_L14_); trivial.
% 11.22/11.43 (* end of lemma zenon_L125_ *)
% 11.22/11.43 assert (zenon_L126_ : (((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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (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 (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H44 zenon_H38 zenon_H34 zenon_H1e zenon_H141 zenon_H13f zenon_H79 zenon_H6d zenon_H3c zenon_H8d zenon_Hed zenon_H13a.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.22/11.43 exact (zenon_H38 zenon_H33).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.22/11.43 apply (zenon_L8_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.22/11.43 apply (zenon_L124_); trivial.
% 11.22/11.43 apply (zenon_L113_); trivial.
% 11.22/11.43 (* end of lemma zenon_L126_ *)
% 11.22/11.43 assert (zenon_L127_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H61 zenon_H47 zenon_H90.
% 11.22/11.43 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H61.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H47.
% 11.22/11.43 cut (((e1) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H144].
% 11.22/11.43 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 11.22/11.43 congruence.
% 11.22/11.43 apply zenon_H64. apply refl_equal.
% 11.22/11.43 apply zenon_H144. apply sym_equal. exact zenon_H90.
% 11.22/11.43 (* end of lemma zenon_L127_ *)
% 11.22/11.43 assert (zenon_L128_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H92 zenon_H13a zenon_Hed zenon_H8d zenon_H3c zenon_H79 zenon_H13f zenon_H141 zenon_H1e zenon_H34 zenon_H38 zenon_H44 zenon_H54 zenon_He0 zenon_H20 zenon_H61 zenon_H47.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.22/11.43 apply (zenon_L126_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.22/11.43 exact (zenon_H54 zenon_H56).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.22/11.43 apply (zenon_L92_); trivial.
% 11.22/11.43 apply (zenon_L127_); trivial.
% 11.22/11.43 (* end of lemma zenon_L128_ *)
% 11.22/11.43 assert (zenon_L129_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H25 zenon_H4f zenon_H20.
% 11.22/11.43 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ].
% 11.22/11.43 cut (((e1) = (e1)) = ((e0) = (e1))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H20.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H21.
% 11.22/11.43 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.43 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 11.22/11.43 congruence.
% 11.22/11.43 cut (((op (e0) (e0)) = (e0)) = ((e1) = (e0))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H23.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H25.
% 11.22/11.43 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.43 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4d].
% 11.22/11.43 congruence.
% 11.22/11.43 exact (zenon_H4d zenon_H4f).
% 11.22/11.43 apply zenon_H1d. apply refl_equal.
% 11.22/11.43 apply zenon_H22. apply refl_equal.
% 11.22/11.43 apply zenon_H22. apply refl_equal.
% 11.22/11.43 (* end of lemma zenon_L129_ *)
% 11.22/11.43 assert (zenon_L130_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> (~((e1) = (e3))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H1f zenon_H39 zenon_H3c.
% 11.22/11.43 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.22/11.43 cut (((e3) = (e3)) = ((e1) = (e3))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H3c.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H35.
% 11.22/11.43 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.43 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 11.22/11.43 congruence.
% 11.22/11.43 cut (((op (e0) (e1)) = (e1)) = ((e3) = (e1))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H3d.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H1f.
% 11.22/11.43 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.43 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 11.22/11.43 congruence.
% 11.22/11.43 exact (zenon_H3a zenon_H39).
% 11.22/11.43 apply zenon_H22. apply refl_equal.
% 11.22/11.43 apply zenon_H36. apply refl_equal.
% 11.22/11.43 apply zenon_H36. apply refl_equal.
% 11.22/11.43 (* end of lemma zenon_L130_ *)
% 11.22/11.43 assert (zenon_L131_ : ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e3)) -> (~((e2) = (e3))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_Hc7 zenon_H145 zenon_H41.
% 11.22/11.43 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.22/11.43 cut (((e3) = (e3)) = ((e2) = (e3))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H41.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H35.
% 11.22/11.43 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.43 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H42].
% 11.22/11.43 congruence.
% 11.22/11.43 cut (((op (e2) (e1)) = (e2)) = ((e3) = (e2))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H42.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_Hc7.
% 11.22/11.43 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.43 cut (((op (e2) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H146].
% 11.22/11.43 congruence.
% 11.22/11.43 exact (zenon_H146 zenon_H145).
% 11.22/11.43 apply zenon_H29. apply refl_equal.
% 11.22/11.43 apply zenon_H36. apply refl_equal.
% 11.22/11.43 apply zenon_H36. apply refl_equal.
% 11.22/11.43 (* end of lemma zenon_L131_ *)
% 11.22/11.43 assert (zenon_L132_ : (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_He5 zenon_H147 zenon_Hed.
% 11.22/11.43 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e3) (e3)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_He5.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H147.
% 11.22/11.43 cut (((e3) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hee].
% 11.22/11.43 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9].
% 11.22/11.43 congruence.
% 11.22/11.43 apply zenon_He9. apply refl_equal.
% 11.22/11.43 apply zenon_Hee. apply sym_equal. exact zenon_Hed.
% 11.22/11.43 (* end of lemma zenon_L132_ *)
% 11.22/11.43 assert (zenon_L133_ : (((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)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H148 zenon_H3c zenon_H1f zenon_H79 zenon_H41 zenon_Hc7 zenon_He5 zenon_Hed.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.22/11.43 apply (zenon_L130_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.22/11.43 exact (zenon_H79 zenon_H78).
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.22/11.43 apply (zenon_L131_); trivial.
% 11.22/11.43 apply (zenon_L132_); trivial.
% 11.22/11.43 (* end of lemma zenon_L133_ *)
% 11.22/11.43 assert (zenon_L134_ : ((op (e2) (e1)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_Hc7 zenon_H2c zenon_Hcb.
% 11.22/11.43 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H14b | zenon_intro zenon_H14c ].
% 11.22/11.43 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e0) (e1)) = (op (e2) (e1)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_Hcb.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H14b.
% 11.22/11.43 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 11.22/11.43 cut (((op (e2) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 11.22/11.43 congruence.
% 11.22/11.43 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e0) (e1)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H14d.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_Hc7.
% 11.22/11.43 cut (((e2) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H14e].
% 11.22/11.43 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 11.22/11.43 congruence.
% 11.22/11.43 apply zenon_H14c. apply refl_equal.
% 11.22/11.43 apply zenon_H14e. apply sym_equal. exact zenon_H2c.
% 11.22/11.43 apply zenon_H14c. apply refl_equal.
% 11.22/11.43 apply zenon_H14c. apply refl_equal.
% 11.22/11.43 (* end of lemma zenon_L134_ *)
% 11.22/11.43 assert (zenon_L135_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H7a zenon_H10c zenon_H14f.
% 11.22/11.43 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H150 | zenon_intro zenon_H11a ].
% 11.22/11.43 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e1)) = (op (e1) (e3)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H14f.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H150.
% 11.22/11.43 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a].
% 11.22/11.43 cut (((op (e1) (e3)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H151].
% 11.22/11.43 congruence.
% 11.22/11.43 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (e3)) = (op (e1) (e1)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H151.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H7a.
% 11.22/11.43 cut (((e0) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H10d].
% 11.22/11.43 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a].
% 11.22/11.43 congruence.
% 11.22/11.43 apply zenon_H11a. apply refl_equal.
% 11.22/11.43 apply zenon_H10d. apply sym_equal. exact zenon_H10c.
% 11.22/11.43 apply zenon_H11a. apply refl_equal.
% 11.22/11.43 apply zenon_H11a. apply refl_equal.
% 11.22/11.43 (* end of lemma zenon_L135_ *)
% 11.22/11.43 assert (zenon_L136_ : ((op (e2) (e0)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (e3))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H6f zenon_H152 zenon_H3c.
% 11.22/11.43 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.22/11.43 cut (((e3) = (e3)) = ((e1) = (e3))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H3c.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H35.
% 11.22/11.43 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.43 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 11.22/11.43 congruence.
% 11.22/11.43 cut (((op (e2) (e0)) = (e1)) = ((e3) = (e1))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H3d.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H6f.
% 11.22/11.43 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.43 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H153].
% 11.22/11.43 congruence.
% 11.22/11.43 exact (zenon_H153 zenon_H152).
% 11.22/11.43 apply zenon_H22. apply refl_equal.
% 11.22/11.43 apply zenon_H36. apply refl_equal.
% 11.22/11.43 apply zenon_H36. apply refl_equal.
% 11.22/11.43 (* end of lemma zenon_L136_ *)
% 11.22/11.43 assert (zenon_L137_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H11b zenon_H3c zenon_H152 zenon_Hc7 zenon_H30 zenon_H11c zenon_H117 zenon_H90.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.22/11.43 apply (zenon_L136_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.22/11.43 apply (zenon_L95_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.22/11.43 exact (zenon_H11c zenon_H11f).
% 11.22/11.43 apply (zenon_L96_); trivial.
% 11.22/11.43 (* end of lemma zenon_L137_ *)
% 11.22/11.43 assert (zenon_L138_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_H154 zenon_H14f zenon_H10c zenon_H117 zenon_H11c zenon_H30 zenon_Hc7 zenon_H152 zenon_H3c zenon_H11b zenon_H3f zenon_H61 zenon_Hed zenon_H141.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H7a | zenon_intro zenon_H155 ].
% 11.22/11.43 apply (zenon_L135_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H90 | zenon_intro zenon_H156 ].
% 11.22/11.43 apply (zenon_L137_); trivial.
% 11.22/11.43 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 11.22/11.43 apply (zenon_L22_); trivial.
% 11.22/11.43 apply (zenon_L120_); trivial.
% 11.22/11.43 (* end of lemma zenon_L138_ *)
% 11.22/11.43 assert (zenon_L139_ : ((op (e2) (e1)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> False).
% 11.22/11.43 do 0 intro. intros zenon_Hc7 zenon_H6c zenon_H157.
% 11.22/11.43 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H14b | zenon_intro zenon_H14c ].
% 11.22/11.43 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e1) (e1)) = (op (e2) (e1)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H157.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_H14b.
% 11.22/11.43 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 11.22/11.43 cut (((op (e2) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H158].
% 11.22/11.43 congruence.
% 11.22/11.43 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e1) (e1)))).
% 11.22/11.43 intro zenon_D_pnotp.
% 11.22/11.43 apply zenon_H158.
% 11.22/11.43 rewrite <- zenon_D_pnotp.
% 11.22/11.43 exact zenon_Hc7.
% 11.22/11.43 cut (((e2) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H159].
% 11.22/11.43 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 11.22/11.43 congruence.
% 11.22/11.43 apply zenon_H14c. apply refl_equal.
% 11.22/11.43 apply zenon_H159. apply sym_equal. exact zenon_H6c.
% 11.22/11.44 apply zenon_H14c. apply refl_equal.
% 11.22/11.44 apply zenon_H14c. apply refl_equal.
% 11.22/11.44 (* end of lemma zenon_L139_ *)
% 11.22/11.44 assert (zenon_L140_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H15a zenon_H141 zenon_Hed zenon_H61 zenon_H3f zenon_H11b zenon_H3c zenon_H152 zenon_H30 zenon_H11c zenon_H117 zenon_H14f zenon_H154 zenon_H54 zenon_H157 zenon_Hc7 zenon_H79.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ].
% 11.22/11.44 apply (zenon_L138_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ].
% 11.22/11.44 exact (zenon_H54 zenon_H56).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ].
% 11.22/11.44 apply (zenon_L139_); trivial.
% 11.22/11.44 exact (zenon_H79 zenon_H78).
% 11.22/11.44 (* end of lemma zenon_L140_ *)
% 11.22/11.44 assert (zenon_L141_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H15d zenon_H15e zenon_Hed.
% 11.22/11.44 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e3) (e3)))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H15d.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H15e.
% 11.22/11.44 cut (((e3) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hee].
% 11.22/11.44 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 11.22/11.44 congruence.
% 11.22/11.44 apply zenon_Hf9. apply refl_equal.
% 11.22/11.44 apply zenon_Hee. apply sym_equal. exact zenon_Hed.
% 11.22/11.44 (* end of lemma zenon_L141_ *)
% 11.22/11.44 assert (zenon_L142_ : (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H15f zenon_H15d zenon_H15e.
% 11.22/11.44 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160.
% 11.22/11.44 apply (zenon_L141_); trivial.
% 11.22/11.44 (* end of lemma zenon_L142_ *)
% 11.22/11.44 assert (zenon_L143_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (op (e3) (e3)))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H161 zenon_H38 zenon_H6d zenon_H79 zenon_Hc7 zenon_H157 zenon_H54 zenon_H154 zenon_H14f zenon_H117 zenon_H11c zenon_H30 zenon_H3c zenon_H11b zenon_H3f zenon_H61 zenon_Hed zenon_H141 zenon_H15a zenon_H15f zenon_H15d.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.22/11.44 exact (zenon_H38 zenon_H33).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.22/11.44 apply (zenon_L123_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.22/11.44 apply (zenon_L140_); trivial.
% 11.22/11.44 apply (zenon_L142_); trivial.
% 11.22/11.44 (* end of lemma zenon_L143_ *)
% 11.22/11.44 assert (zenon_L144_ : ((op (e3) (e3)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_Hed zenon_H164 zenon_He3.
% 11.22/11.44 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H13b | zenon_intro zenon_H13c ].
% 11.22/11.44 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e2) (e3)) = (op (e3) (e3)))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_He3.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H13b.
% 11.22/11.44 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H13c].
% 11.22/11.44 cut (((op (e3) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 11.22/11.44 congruence.
% 11.22/11.44 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e2) (e3)))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H165.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_Hed.
% 11.22/11.44 cut (((e3) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H166].
% 11.22/11.44 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H13c].
% 11.22/11.44 congruence.
% 11.22/11.44 apply zenon_H13c. apply refl_equal.
% 11.22/11.44 apply zenon_H166. apply sym_equal. exact zenon_H164.
% 11.22/11.44 apply zenon_H13c. apply refl_equal.
% 11.22/11.44 apply zenon_H13c. apply refl_equal.
% 11.22/11.44 (* end of lemma zenon_L144_ *)
% 11.22/11.44 assert (zenon_L145_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H167 zenon_H3c zenon_H6f zenon_H41 zenon_Hc7 zenon_He2 zenon_Hed zenon_He3.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ].
% 11.22/11.44 apply (zenon_L136_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ].
% 11.22/11.44 apply (zenon_L131_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ].
% 11.22/11.44 exact (zenon_He2 zenon_He1).
% 11.22/11.44 apply (zenon_L144_); trivial.
% 11.22/11.44 (* end of lemma zenon_L145_ *)
% 11.22/11.44 assert (zenon_L146_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H16a zenon_H99 zenon_He6.
% 11.22/11.44 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (e0)) = (op (e3) (e1)))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H16a.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H99.
% 11.22/11.44 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16b].
% 11.22/11.44 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 11.22/11.44 congruence.
% 11.22/11.44 apply zenon_Hf9. apply refl_equal.
% 11.22/11.44 apply zenon_H16b. apply sym_equal. exact zenon_He6.
% 11.22/11.44 (* end of lemma zenon_L146_ *)
% 11.22/11.44 assert (zenon_L147_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H105 zenon_H3c zenon_H39 zenon_H54 zenon_Hc7 zenon_H30 zenon_H16a zenon_H99.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.22/11.44 apply (zenon_L130_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.22/11.44 exact (zenon_H54 zenon_H56).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.22/11.44 apply (zenon_L95_); trivial.
% 11.22/11.44 apply (zenon_L146_); trivial.
% 11.22/11.44 (* end of lemma zenon_L147_ *)
% 11.22/11.44 assert (zenon_L148_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H49 zenon_H27 zenon_Hcb zenon_H44 zenon_H34 zenon_H25 zenon_H99 zenon_H16a zenon_H30 zenon_Hc7 zenon_H54 zenon_H105 zenon_H3c zenon_H2e zenon_H41.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.22/11.44 apply (zenon_L3_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.22/11.44 apply (zenon_L134_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.22/11.44 apply (zenon_L6_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.22/11.44 apply (zenon_L7_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.22/11.44 apply (zenon_L147_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.22/11.44 apply (zenon_L9_); trivial.
% 11.22/11.44 apply (zenon_L11_); trivial.
% 11.22/11.44 (* end of lemma zenon_L148_ *)
% 11.22/11.44 assert (zenon_L149_ : (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H16c zenon_H6d zenon_H6f.
% 11.22/11.44 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e2) (e0)))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H16c.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H6d.
% 11.22/11.44 cut (((e1) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H16d].
% 11.22/11.44 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 11.22/11.44 congruence.
% 11.22/11.44 apply zenon_H110. apply refl_equal.
% 11.22/11.44 apply zenon_H16d. apply sym_equal. exact zenon_H6f.
% 11.22/11.44 (* end of lemma zenon_L149_ *)
% 11.22/11.44 assert (zenon_L150_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H16e zenon_H47 zenon_H118.
% 11.22/11.44 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H16e.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H47.
% 11.22/11.44 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H119].
% 11.22/11.44 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 11.22/11.44 congruence.
% 11.22/11.44 apply zenon_H64. apply refl_equal.
% 11.22/11.44 apply zenon_H119. apply sym_equal. exact zenon_H118.
% 11.22/11.44 (* end of lemma zenon_L150_ *)
% 11.22/11.44 assert (zenon_L151_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H11b zenon_H6d zenon_H16c zenon_Hc7 zenon_H30 zenon_H11c zenon_H16e zenon_H47.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.22/11.44 apply (zenon_L149_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.22/11.44 apply (zenon_L95_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.22/11.44 exact (zenon_H11c zenon_H11f).
% 11.22/11.44 apply (zenon_L150_); trivial.
% 11.22/11.44 (* end of lemma zenon_L151_ *)
% 11.22/11.44 assert (zenon_L152_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H105 zenon_Hed zenon_He5 zenon_H41 zenon_H79 zenon_H3c zenon_H148 zenon_H54 zenon_Hc7 zenon_H30 zenon_H16a zenon_H99.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.22/11.44 apply (zenon_L133_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.22/11.44 exact (zenon_H54 zenon_H56).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.22/11.44 apply (zenon_L95_); trivial.
% 11.22/11.44 apply (zenon_L146_); trivial.
% 11.22/11.44 (* end of lemma zenon_L152_ *)
% 11.22/11.44 assert (zenon_L153_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H4c zenon_H34 zenon_H44 zenon_Hcb zenon_H27 zenon_H49 zenon_H161 zenon_H38 zenon_H157 zenon_H154 zenon_H14f zenon_H117 zenon_H61 zenon_H141 zenon_H15a zenon_H15f zenon_H15d zenon_Hb7 zenon_H20 zenon_H25 zenon_H16e zenon_H11c zenon_H16c zenon_H11b zenon_He3 zenon_He2 zenon_H167 zenon_H105 zenon_Hed zenon_He5 zenon_H41 zenon_H79 zenon_H3c zenon_H148 zenon_H54 zenon_Hc7 zenon_H30 zenon_H16a.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.22/11.44 apply (zenon_L129_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.22/11.44 apply (zenon_L133_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.22/11.44 apply (zenon_L129_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.22/11.44 apply (zenon_L3_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.22/11.44 apply (zenon_L134_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.22/11.44 apply (zenon_L6_); trivial.
% 11.22/11.44 apply (zenon_L143_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.22/11.44 apply (zenon_L145_); trivial.
% 11.22/11.44 apply (zenon_L148_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.22/11.44 apply (zenon_L129_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.22/11.44 apply (zenon_L151_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.22/11.44 apply (zenon_L145_); trivial.
% 11.22/11.44 apply (zenon_L152_); trivial.
% 11.22/11.44 (* end of lemma zenon_L153_ *)
% 11.22/11.44 assert (zenon_L154_ : (~((op (e0) (op (e0) (e0))) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H16f zenon_H26.
% 11.22/11.44 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.22/11.44 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.44 congruence.
% 11.22/11.44 apply zenon_H1d. apply refl_equal.
% 11.22/11.44 exact (zenon_H2b zenon_H26).
% 11.22/11.44 (* end of lemma zenon_L154_ *)
% 11.22/11.44 assert (zenon_L155_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((e1) = (op (e0) (op (e0) (e0))))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H2e zenon_H26 zenon_Hd3.
% 11.22/11.44 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd5 ].
% 11.22/11.44 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((e1) = (op (e0) (op (e0) (e0))))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_Hd3.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_Hd4.
% 11.22/11.44 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hd5].
% 11.22/11.44 cut (((op (e0) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 11.22/11.44 congruence.
% 11.22/11.44 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (op (e0) (e0))) = (e1))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_Hd6.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H2e.
% 11.22/11.44 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.44 cut (((op (e0) (e2)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H170].
% 11.22/11.44 congruence.
% 11.22/11.44 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd5 ].
% 11.22/11.44 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e2)) = (op (e0) (op (e0) (e0))))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H170.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_Hd4.
% 11.22/11.44 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hd5].
% 11.22/11.44 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H16f].
% 11.22/11.44 congruence.
% 11.22/11.44 apply (zenon_L154_); trivial.
% 11.22/11.44 apply zenon_Hd5. apply refl_equal.
% 11.22/11.44 apply zenon_Hd5. apply refl_equal.
% 11.22/11.44 apply zenon_H22. apply refl_equal.
% 11.22/11.44 apply zenon_Hd5. apply refl_equal.
% 11.22/11.44 apply zenon_Hd5. apply refl_equal.
% 11.22/11.44 (* end of lemma zenon_L155_ *)
% 11.22/11.44 assert (zenon_L156_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> ((op (e0) (e0)) = (e2)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H2e zenon_H39 zenon_H26.
% 11.22/11.44 apply (zenon_notand_s _ _ ax16); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H171 ].
% 11.22/11.44 apply (zenon_L155_); trivial.
% 11.22/11.44 apply (zenon_notand_s _ _ zenon_H171); [ zenon_intro zenon_H173 | zenon_intro zenon_H172 ].
% 11.22/11.44 elim (classic ((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0)))))); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hdc ].
% 11.22/11.44 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0))))) = ((e3) = (op (e0) (op (e0) (op (e0) (e0)))))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H173.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_Hdb.
% 11.22/11.44 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0)))))); [idtac | apply NNPP; zenon_intro zenon_Hdc].
% 11.22/11.44 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H174].
% 11.22/11.44 congruence.
% 11.22/11.44 cut (((op (e0) (e1)) = (e3)) = ((op (e0) (op (e0) (op (e0) (e0)))) = (e3))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H174.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H39.
% 11.22/11.44 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.44 cut (((op (e0) (e1)) = (op (e0) (op (e0) (op (e0) (e0)))))); [idtac | apply NNPP; zenon_intro zenon_Hde].
% 11.22/11.44 congruence.
% 11.22/11.44 elim (classic ((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0)))))); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hdc ].
% 11.22/11.44 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0))))) = ((op (e0) (e1)) = (op (e0) (op (e0) (op (e0) (e0)))))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_Hde.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_Hdb.
% 11.22/11.44 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0)))))); [idtac | apply NNPP; zenon_intro zenon_Hdc].
% 11.22/11.44 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hdf].
% 11.22/11.44 congruence.
% 11.22/11.44 cut (((op (e0) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 11.22/11.44 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.44 congruence.
% 11.22/11.44 apply zenon_H1d. apply refl_equal.
% 11.22/11.44 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (op (e0) (e0))) = (e1))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_Hd6.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H2e.
% 11.22/11.44 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.44 cut (((op (e0) (e2)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H170].
% 11.22/11.44 congruence.
% 11.22/11.44 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd5 ].
% 11.22/11.44 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e2)) = (op (e0) (op (e0) (e0))))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H170.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_Hd4.
% 11.22/11.44 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hd5].
% 11.22/11.44 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H16f].
% 11.22/11.44 congruence.
% 11.22/11.44 apply (zenon_L154_); trivial.
% 11.22/11.44 apply zenon_Hd5. apply refl_equal.
% 11.22/11.44 apply zenon_Hd5. apply refl_equal.
% 11.22/11.44 apply zenon_H22. apply refl_equal.
% 11.22/11.44 apply zenon_Hdc. apply refl_equal.
% 11.22/11.44 apply zenon_Hdc. apply refl_equal.
% 11.22/11.44 apply zenon_H36. apply refl_equal.
% 11.22/11.44 apply zenon_Hdc. apply refl_equal.
% 11.22/11.44 apply zenon_Hdc. apply refl_equal.
% 11.22/11.44 apply zenon_H172. apply sym_equal. exact zenon_H26.
% 11.22/11.44 (* end of lemma zenon_L156_ *)
% 11.22/11.44 assert (zenon_L157_ : (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e1)) = (e1)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H3c zenon_H147 zenon_He6.
% 11.22/11.44 cut (((op (e3) (e1)) = (e3)) = ((e1) = (e3))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H3c.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H147.
% 11.22/11.44 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.44 cut (((op (e3) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H175].
% 11.22/11.44 congruence.
% 11.22/11.44 exact (zenon_H175 zenon_He6).
% 11.22/11.44 apply zenon_H36. apply refl_equal.
% 11.22/11.44 (* end of lemma zenon_L157_ *)
% 11.22/11.44 assert (zenon_L158_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H148 zenon_H26 zenon_H2e zenon_H79 zenon_H41 zenon_Hc7 zenon_H3c zenon_He6.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.22/11.44 apply (zenon_L156_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.22/11.44 exact (zenon_H79 zenon_H78).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.22/11.44 apply (zenon_L131_); trivial.
% 11.22/11.44 apply (zenon_L157_); trivial.
% 11.22/11.44 (* end of lemma zenon_L158_ *)
% 11.22/11.44 assert (zenon_L159_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e3))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H105 zenon_Hed zenon_He5 zenon_H54 zenon_H30 zenon_H148 zenon_H26 zenon_H2e zenon_H79 zenon_H41 zenon_Hc7 zenon_H3c.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.22/11.44 apply (zenon_L133_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.22/11.44 exact (zenon_H54 zenon_H56).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.22/11.44 apply (zenon_L95_); trivial.
% 11.22/11.44 apply (zenon_L158_); trivial.
% 11.22/11.44 (* end of lemma zenon_L159_ *)
% 11.22/11.44 assert (zenon_L160_ : ((op (e0) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((e1) = (e2))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H4f zenon_H26 zenon_H30.
% 11.22/11.44 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ].
% 11.22/11.44 cut (((e2) = (e2)) = ((e1) = (e2))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H30.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H28.
% 11.22/11.44 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.44 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H31].
% 11.22/11.44 congruence.
% 11.22/11.44 cut (((op (e0) (e0)) = (e1)) = ((e2) = (e1))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H31.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H4f.
% 11.22/11.44 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.44 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 11.22/11.44 congruence.
% 11.22/11.44 exact (zenon_H2b zenon_H26).
% 11.22/11.44 apply zenon_H22. apply refl_equal.
% 11.22/11.44 apply zenon_H29. apply refl_equal.
% 11.22/11.44 apply zenon_H29. apply refl_equal.
% 11.22/11.44 (* end of lemma zenon_L160_ *)
% 11.22/11.44 assert (zenon_L161_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e3)) -> (~((e0) = (e3))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H6e zenon_H152 zenon_H34.
% 11.22/11.44 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.22/11.44 cut (((e3) = (e3)) = ((e0) = (e3))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H34.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H35.
% 11.22/11.44 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.44 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 11.22/11.44 congruence.
% 11.22/11.44 cut (((op (e2) (e0)) = (e0)) = ((e3) = (e0))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H37.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H6e.
% 11.22/11.44 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.44 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H153].
% 11.22/11.44 congruence.
% 11.22/11.44 exact (zenon_H153 zenon_H152).
% 11.22/11.44 apply zenon_H1d. apply refl_equal.
% 11.22/11.44 apply zenon_H36. apply refl_equal.
% 11.22/11.44 apply zenon_H36. apply refl_equal.
% 11.22/11.44 (* end of lemma zenon_L161_ *)
% 11.22/11.44 assert (zenon_L162_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_Hcb zenon_H39 zenon_H145.
% 11.22/11.44 cut (((op (e0) (e1)) = (e3)) = ((op (e0) (e1)) = (op (e2) (e1)))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_Hcb.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H39.
% 11.22/11.44 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H176].
% 11.22/11.44 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H74].
% 11.22/11.44 congruence.
% 11.22/11.44 apply zenon_H74. apply refl_equal.
% 11.22/11.44 apply zenon_H176. apply sym_equal. exact zenon_H145.
% 11.22/11.44 (* end of lemma zenon_L162_ *)
% 11.22/11.44 assert (zenon_L163_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((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).
% 11.22/11.44 do 0 intro. intros zenon_H167 zenon_H34 zenon_H6e zenon_H39 zenon_Hcb zenon_He2 zenon_Hed zenon_He3.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ].
% 11.22/11.44 apply (zenon_L161_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ].
% 11.22/11.44 apply (zenon_L162_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ].
% 11.22/11.44 exact (zenon_He2 zenon_He1).
% 11.22/11.44 apply (zenon_L144_); trivial.
% 11.22/11.44 (* end of lemma zenon_L163_ *)
% 11.22/11.44 assert (zenon_L164_ : (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e0)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H27 zenon_Hc7 zenon_Hcc.
% 11.22/11.44 cut (((op (e2) (e1)) = (e2)) = ((e0) = (e2))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H27.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_Hc7.
% 11.22/11.44 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.44 cut (((op (e2) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H177].
% 11.22/11.44 congruence.
% 11.22/11.44 exact (zenon_H177 zenon_Hcc).
% 11.22/11.44 apply zenon_H29. apply refl_equal.
% 11.22/11.44 (* end of lemma zenon_L164_ *)
% 11.22/11.44 assert (zenon_L165_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H65 zenon_Hd0 zenon_Hce.
% 11.22/11.44 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e2) (e2)))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H65.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_Hd0.
% 11.22/11.44 cut (((e0) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H178].
% 11.22/11.44 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H140].
% 11.22/11.44 congruence.
% 11.22/11.44 apply zenon_H140. apply refl_equal.
% 11.22/11.44 apply zenon_H178. apply sym_equal. exact zenon_Hce.
% 11.22/11.44 (* end of lemma zenon_L165_ *)
% 11.22/11.44 assert (zenon_L166_ : ((op (e2) (e3)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H96 zenon_H118 zenon_H20.
% 11.22/11.44 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ].
% 11.22/11.44 cut (((e1) = (e1)) = ((e0) = (e1))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H20.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H21.
% 11.22/11.44 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.44 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 11.22/11.44 congruence.
% 11.22/11.44 cut (((op (e2) (e3)) = (e0)) = ((e1) = (e0))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H23.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H96.
% 11.22/11.44 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.44 cut (((op (e2) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H179].
% 11.22/11.44 congruence.
% 11.22/11.44 exact (zenon_H179 zenon_H118).
% 11.22/11.44 apply zenon_H1d. apply refl_equal.
% 11.22/11.44 apply zenon_H22. apply refl_equal.
% 11.22/11.44 apply zenon_H22. apply refl_equal.
% 11.22/11.44 (* end of lemma zenon_L166_ *)
% 11.22/11.44 assert (zenon_L167_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H11b zenon_He3 zenon_Hed zenon_He2 zenon_H41 zenon_H3c zenon_H167 zenon_Hc7 zenon_H30 zenon_H11c zenon_H96 zenon_H20.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.22/11.44 apply (zenon_L145_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.22/11.44 apply (zenon_L95_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.22/11.44 exact (zenon_H11c zenon_H11f).
% 11.22/11.44 apply (zenon_L166_); trivial.
% 11.22/11.44 (* end of lemma zenon_L167_ *)
% 11.22/11.44 assert (zenon_L168_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H49 zenon_H4f zenon_H44 zenon_H38 zenon_H20 zenon_H11c zenon_H30 zenon_Hc7 zenon_H167 zenon_H3c zenon_He2 zenon_Hed zenon_He3 zenon_H11b zenon_H65 zenon_H27 zenon_Hcb zenon_Hfa zenon_H34 zenon_Hd0 zenon_H41.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.22/11.44 apply (zenon_L160_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.22/11.44 apply (zenon_L134_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.22/11.44 apply (zenon_L57_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.22/11.44 exact (zenon_H38 zenon_H33).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.22/11.44 apply (zenon_L163_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.22/11.44 apply (zenon_L164_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.22/11.44 apply (zenon_L165_); trivial.
% 11.22/11.44 apply (zenon_L167_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.22/11.44 apply (zenon_L59_); trivial.
% 11.22/11.44 apply (zenon_L11_); trivial.
% 11.22/11.44 (* end of lemma zenon_L168_ *)
% 11.22/11.44 assert (zenon_L169_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H49 zenon_H4f zenon_Hcb zenon_Hc7 zenon_H27 zenon_Hd0 zenon_H47 zenon_H30.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.22/11.44 apply (zenon_L160_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.22/11.44 apply (zenon_L134_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.22/11.44 apply (zenon_L57_); trivial.
% 11.22/11.44 apply (zenon_L15_); trivial.
% 11.22/11.44 (* end of lemma zenon_L169_ *)
% 11.22/11.44 assert (zenon_L170_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H4c zenon_H34 zenon_Hfa zenon_H65 zenon_H38 zenon_H44 zenon_H20 zenon_Hb7 zenon_Hd0 zenon_H27 zenon_Hcb zenon_H49 zenon_H16e zenon_H11c zenon_H16c zenon_H11b zenon_He3 zenon_He2 zenon_H167 zenon_H105 zenon_Hed zenon_He5 zenon_H41 zenon_H79 zenon_H3c zenon_H148 zenon_H54 zenon_Hc7 zenon_H30 zenon_H16a.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.22/11.44 apply (zenon_L168_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.22/11.44 apply (zenon_L133_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.22/11.44 apply (zenon_L61_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.22/11.44 apply (zenon_L169_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.22/11.44 apply (zenon_L151_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.22/11.44 apply (zenon_L145_); trivial.
% 11.22/11.44 apply (zenon_L152_); trivial.
% 11.22/11.44 (* end of lemma zenon_L170_ *)
% 11.22/11.44 assert (zenon_L171_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_Hf3 zenon_H41 zenon_H2f zenon_H3c zenon_H88 zenon_He2 zenon_Heb zenon_Hed.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.22/11.44 apply (zenon_L13_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.22/11.44 apply (zenon_L35_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.22/11.44 exact (zenon_He2 zenon_He1).
% 11.22/11.44 apply (zenon_L74_); trivial.
% 11.22/11.44 (* end of lemma zenon_L171_ *)
% 11.22/11.44 assert (zenon_L172_ : (~((op (e2) (op (e2) (e2))) = (op (e2) (e0)))) -> ((op (e2) (e2)) = (e0)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H17a zenon_Hce.
% 11.22/11.44 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 11.22/11.44 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.44 congruence.
% 11.22/11.44 apply zenon_H29. apply refl_equal.
% 11.22/11.44 exact (zenon_Hcf zenon_Hce).
% 11.22/11.44 (* end of lemma zenon_L172_ *)
% 11.22/11.44 assert (zenon_L173_ : ((op (e2) (e0)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (~((e1) = (op (e2) (op (e2) (e2))))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H6f zenon_Hce zenon_H17b.
% 11.22/11.44 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17c | zenon_intro zenon_H17d ].
% 11.22/11.44 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((e1) = (op (e2) (op (e2) (e2))))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H17b.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H17c.
% 11.22/11.44 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17d].
% 11.22/11.44 cut (((op (e2) (op (e2) (e2))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 11.22/11.44 congruence.
% 11.22/11.44 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (op (e2) (e2))) = (e1))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H17e.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H6f.
% 11.22/11.44 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.44 cut (((op (e2) (e0)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17f].
% 11.22/11.44 congruence.
% 11.22/11.44 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17c | zenon_intro zenon_H17d ].
% 11.22/11.44 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e0)) = (op (e2) (op (e2) (e2))))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H17f.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H17c.
% 11.22/11.44 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17d].
% 11.22/11.44 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H17a].
% 11.22/11.44 congruence.
% 11.22/11.44 apply (zenon_L172_); trivial.
% 11.22/11.44 apply zenon_H17d. apply refl_equal.
% 11.22/11.44 apply zenon_H17d. apply refl_equal.
% 11.22/11.44 apply zenon_H22. apply refl_equal.
% 11.22/11.44 apply zenon_H17d. apply refl_equal.
% 11.22/11.44 apply zenon_H17d. apply refl_equal.
% 11.22/11.44 (* end of lemma zenon_L173_ *)
% 11.22/11.44 assert (zenon_L174_ : ((op (e2) (e0)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H6f zenon_H145 zenon_Hce.
% 11.22/11.44 apply (zenon_notand_s _ _ ax17); [ zenon_intro zenon_H17b | zenon_intro zenon_H180 ].
% 11.22/11.44 apply (zenon_L173_); trivial.
% 11.22/11.44 apply (zenon_notand_s _ _ zenon_H180); [ zenon_intro zenon_H181 | zenon_intro zenon_H178 ].
% 11.22/11.44 elim (classic ((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2)))))); [ zenon_intro zenon_H182 | zenon_intro zenon_H183 ].
% 11.22/11.44 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2))))) = ((e3) = (op (e2) (op (e2) (op (e2) (e2)))))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H181.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H182.
% 11.22/11.44 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2)))))); [idtac | apply NNPP; zenon_intro zenon_H183].
% 11.22/11.44 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H184].
% 11.22/11.44 congruence.
% 11.22/11.44 cut (((op (e2) (e1)) = (e3)) = ((op (e2) (op (e2) (op (e2) (e2)))) = (e3))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H184.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H145.
% 11.22/11.44 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.44 cut (((op (e2) (e1)) = (op (e2) (op (e2) (op (e2) (e2)))))); [idtac | apply NNPP; zenon_intro zenon_H185].
% 11.22/11.44 congruence.
% 11.22/11.44 elim (classic ((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2)))))); [ zenon_intro zenon_H182 | zenon_intro zenon_H183 ].
% 11.22/11.44 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2))))) = ((op (e2) (e1)) = (op (e2) (op (e2) (op (e2) (e2)))))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H185.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H182.
% 11.22/11.44 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2)))))); [idtac | apply NNPP; zenon_intro zenon_H183].
% 11.22/11.44 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H186].
% 11.22/11.44 congruence.
% 11.22/11.44 cut (((op (e2) (op (e2) (e2))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 11.22/11.44 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.44 congruence.
% 11.22/11.44 apply zenon_H29. apply refl_equal.
% 11.22/11.44 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (op (e2) (e2))) = (e1))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H17e.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H6f.
% 11.22/11.44 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.44 cut (((op (e2) (e0)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17f].
% 11.22/11.44 congruence.
% 11.22/11.44 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17c | zenon_intro zenon_H17d ].
% 11.22/11.44 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e0)) = (op (e2) (op (e2) (e2))))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H17f.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H17c.
% 11.22/11.44 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17d].
% 11.22/11.44 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H17a].
% 11.22/11.44 congruence.
% 11.22/11.44 apply (zenon_L172_); trivial.
% 11.22/11.44 apply zenon_H17d. apply refl_equal.
% 11.22/11.44 apply zenon_H17d. apply refl_equal.
% 11.22/11.44 apply zenon_H22. apply refl_equal.
% 11.22/11.44 apply zenon_H183. apply refl_equal.
% 11.22/11.44 apply zenon_H183. apply refl_equal.
% 11.22/11.44 apply zenon_H36. apply refl_equal.
% 11.22/11.44 apply zenon_H183. apply refl_equal.
% 11.22/11.44 apply zenon_H183. apply refl_equal.
% 11.22/11.44 apply zenon_H178. apply sym_equal. exact zenon_Hce.
% 11.22/11.44 (* end of lemma zenon_L174_ *)
% 11.22/11.44 assert (zenon_L175_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H167 zenon_H3c zenon_Hce zenon_H6f zenon_He2 zenon_Hed zenon_He3.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ].
% 11.22/11.44 apply (zenon_L136_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ].
% 11.22/11.44 apply (zenon_L174_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ].
% 11.22/11.44 exact (zenon_He2 zenon_He1).
% 11.22/11.44 apply (zenon_L144_); trivial.
% 11.22/11.44 (* end of lemma zenon_L175_ *)
% 11.22/11.44 assert (zenon_L176_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H16e zenon_H72 zenon_H96.
% 11.22/11.44 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H16e.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H72.
% 11.22/11.44 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 11.22/11.44 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 11.22/11.44 congruence.
% 11.22/11.44 apply zenon_H64. apply refl_equal.
% 11.22/11.44 apply zenon_H97. apply sym_equal. exact zenon_H96.
% 11.22/11.44 (* end of lemma zenon_L176_ *)
% 11.22/11.44 assert (zenon_L177_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_Hfa zenon_H20 zenon_H27 zenon_H90 zenon_H117 zenon_H11c zenon_H30 zenon_Hc7 zenon_H167 zenon_H3c zenon_He2 zenon_Hed zenon_He3 zenon_H11b zenon_H16e zenon_H72.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.22/11.44 apply (zenon_L97_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.22/11.44 apply (zenon_L164_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.22/11.44 apply (zenon_L175_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.22/11.44 apply (zenon_L95_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.22/11.44 exact (zenon_H11c zenon_H11f).
% 11.22/11.44 apply (zenon_L96_); trivial.
% 11.22/11.44 apply (zenon_L176_); trivial.
% 11.22/11.44 (* end of lemma zenon_L177_ *)
% 11.22/11.44 assert (zenon_L178_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H92 zenon_H75 zenon_H54 zenon_Heb zenon_H2f zenon_H41 zenon_Hf3 zenon_Hfa zenon_H20 zenon_H27 zenon_H117 zenon_H11c zenon_H30 zenon_Hc7 zenon_H167 zenon_H3c zenon_He2 zenon_Hed zenon_He3 zenon_H11b zenon_H16e zenon_H72.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.22/11.44 apply (zenon_L123_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.22/11.44 exact (zenon_H54 zenon_H56).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.22/11.44 apply (zenon_L171_); trivial.
% 11.22/11.44 apply (zenon_L177_); trivial.
% 11.22/11.44 (* end of lemma zenon_L178_ *)
% 11.22/11.44 assert (zenon_L179_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H187 zenon_H4f zenon_H6d.
% 11.22/11.44 cut (((op (e0) (e0)) = (e1)) = ((op (e0) (e0)) = (op (e1) (e0)))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H187.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H4f.
% 11.22/11.44 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H12c].
% 11.22/11.44 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H188].
% 11.22/11.44 congruence.
% 11.22/11.44 apply zenon_H188. apply refl_equal.
% 11.22/11.44 apply zenon_H12c. apply sym_equal. exact zenon_H6d.
% 11.22/11.44 (* end of lemma zenon_L179_ *)
% 11.22/11.44 assert (zenon_L180_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e0) = (e2))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H72 zenon_H3f zenon_H27.
% 11.22/11.44 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ].
% 11.22/11.44 cut (((e2) = (e2)) = ((e0) = (e2))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H27.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H28.
% 11.22/11.44 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.44 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 11.22/11.44 congruence.
% 11.22/11.44 cut (((op (e0) (e3)) = (e0)) = ((e2) = (e0))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H2a.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H72.
% 11.22/11.44 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.44 cut (((op (e0) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 11.22/11.44 congruence.
% 11.22/11.44 exact (zenon_H48 zenon_H3f).
% 11.22/11.44 apply zenon_H1d. apply refl_equal.
% 11.22/11.44 apply zenon_H29. apply refl_equal.
% 11.22/11.44 apply zenon_H29. apply refl_equal.
% 11.22/11.44 (* end of lemma zenon_L180_ *)
% 11.22/11.44 assert (zenon_L181_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((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)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H49 zenon_Hcb zenon_Hed zenon_H15d zenon_H92 zenon_H4f zenon_H187 zenon_H54 zenon_Heb zenon_He2 zenon_H41 zenon_Hf3 zenon_H11b zenon_H3c zenon_Hc7 zenon_H30 zenon_H11c zenon_H117 zenon_Hfa zenon_H20 zenon_H167 zenon_He3 zenon_H16e zenon_H161 zenon_H72 zenon_H27.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.22/11.44 apply (zenon_L160_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.22/11.44 apply (zenon_L134_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.22/11.44 apply (zenon_L58_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.22/11.44 apply (zenon_L178_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.22/11.44 apply (zenon_L179_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.22/11.44 exact (zenon_H54 zenon_H56).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.22/11.44 apply (zenon_L171_); trivial.
% 11.22/11.44 apply (zenon_L137_); trivial.
% 11.22/11.44 apply (zenon_L141_); trivial.
% 11.22/11.44 apply (zenon_L180_); trivial.
% 11.22/11.44 (* end of lemma zenon_L181_ *)
% 11.22/11.44 assert (zenon_L182_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H72 zenon_H47 zenon_H20.
% 11.22/11.44 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ].
% 11.22/11.44 cut (((e1) = (e1)) = ((e0) = (e1))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H20.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H21.
% 11.22/11.44 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.44 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 11.22/11.44 congruence.
% 11.22/11.44 cut (((op (e0) (e3)) = (e0)) = ((e1) = (e0))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H23.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H72.
% 11.22/11.44 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.44 cut (((op (e0) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 11.22/11.44 congruence.
% 11.22/11.44 exact (zenon_H189 zenon_H47).
% 11.22/11.44 apply zenon_H1d. apply refl_equal.
% 11.22/11.44 apply zenon_H22. apply refl_equal.
% 11.22/11.44 apply zenon_H22. apply refl_equal.
% 11.22/11.44 (* end of lemma zenon_L182_ *)
% 11.22/11.44 assert (zenon_L183_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H4c zenon_H161 zenon_H16e zenon_He3 zenon_H167 zenon_Hfa zenon_H117 zenon_H11c zenon_H11b zenon_Hf3 zenon_He2 zenon_Heb zenon_H187 zenon_H92 zenon_H15d zenon_H27 zenon_H30 zenon_Hc7 zenon_Hcb zenon_H105 zenon_Hed zenon_He5 zenon_H54 zenon_H148 zenon_H79 zenon_H41 zenon_H3c zenon_H49 zenon_H72 zenon_H20.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.22/11.44 apply (zenon_L181_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.22/11.44 apply (zenon_L133_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.22/11.44 apply (zenon_L159_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.22/11.44 apply (zenon_L134_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.22/11.44 apply (zenon_L6_); trivial.
% 11.22/11.44 apply (zenon_L180_); trivial.
% 11.22/11.44 apply (zenon_L182_); trivial.
% 11.22/11.44 (* end of lemma zenon_L183_ *)
% 11.22/11.44 assert (zenon_L184_ : ((op (e2) (e3)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H18a zenon_Hc7 zenon_H18b.
% 11.22/11.44 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H18c | zenon_intro zenon_He4 ].
% 11.22/11.44 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (e1)) = (op (e2) (e3)))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H18b.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H18c.
% 11.22/11.44 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He4].
% 11.22/11.44 cut (((op (e2) (e3)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H18d].
% 11.22/11.44 congruence.
% 11.22/11.44 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e2) (e1)))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H18d.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H18a.
% 11.22/11.44 cut (((e2) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hca].
% 11.22/11.44 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He4].
% 11.22/11.44 congruence.
% 11.22/11.44 apply zenon_He4. apply refl_equal.
% 11.22/11.44 apply zenon_Hca. apply sym_equal. exact zenon_Hc7.
% 11.22/11.44 apply zenon_He4. apply refl_equal.
% 11.22/11.44 apply zenon_He4. apply refl_equal.
% 11.22/11.44 (* end of lemma zenon_L184_ *)
% 11.22/11.44 assert (zenon_L185_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H18e zenon_H18b zenon_H4c zenon_H16e zenon_H16c zenon_H49 zenon_H38 zenon_H15a zenon_H157 zenon_H54 zenon_H14f zenon_H11b zenon_H117 zenon_H11c zenon_H61 zenon_H141 zenon_H154 zenon_H15f zenon_H15d zenon_H161 zenon_H30 zenon_Hcb zenon_H27 zenon_H167 zenon_He3 zenon_H34 zenon_H105 zenon_H16a zenon_H44 zenon_Hb7 zenon_H3c zenon_H79 zenon_H41 zenon_Hc7 zenon_He5 zenon_Hed zenon_H148 zenon_H20 zenon_H4d zenon_H65 zenon_Hfa zenon_H187 zenon_Hf3 zenon_Heb zenon_H92 zenon_H18f.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.22/11.44 apply (zenon_L153_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.22/11.44 exact (zenon_H4d zenon_H4f).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.22/11.44 apply (zenon_L2_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.22/11.44 exact (zenon_H4d zenon_H4f).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.22/11.44 apply (zenon_L159_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.22/11.44 apply (zenon_L134_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.22/11.44 apply (zenon_L6_); trivial.
% 11.22/11.44 apply (zenon_L143_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.22/11.44 apply (zenon_L145_); trivial.
% 11.22/11.44 apply (zenon_L152_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.22/11.44 exact (zenon_H4d zenon_H4f).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.22/11.44 apply (zenon_L151_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.22/11.44 apply (zenon_L145_); trivial.
% 11.22/11.44 apply (zenon_L152_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.22/11.44 apply (zenon_L170_); trivial.
% 11.22/11.44 apply (zenon_L183_); trivial.
% 11.22/11.44 apply (zenon_L184_); trivial.
% 11.22/11.44 (* end of lemma zenon_L185_ *)
% 11.22/11.44 assert (zenon_L186_ : (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H192 zenon_H5a zenon_H18a.
% 11.22/11.44 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e2) (e3)))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H192.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H5a.
% 11.22/11.44 cut (((e2) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 11.22/11.44 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 11.22/11.44 congruence.
% 11.22/11.44 apply zenon_H5e. apply refl_equal.
% 11.22/11.44 apply zenon_H193. apply sym_equal. exact zenon_H18a.
% 11.22/11.44 (* end of lemma zenon_L186_ *)
% 11.22/11.44 assert (zenon_L187_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H117 zenon_H7a zenon_H96.
% 11.22/11.44 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (e3)) = (op (e2) (e3)))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H117.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H7a.
% 11.22/11.44 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 11.22/11.44 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a].
% 11.22/11.44 congruence.
% 11.22/11.44 apply zenon_H11a. apply refl_equal.
% 11.22/11.44 apply zenon_H97. apply sym_equal. exact zenon_H96.
% 11.22/11.44 (* end of lemma zenon_L187_ *)
% 11.22/11.44 assert (zenon_L188_ : (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_He3 zenon_H18a zenon_Hb4.
% 11.22/11.44 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e3) (e3)))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_He3.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H18a.
% 11.22/11.44 cut (((e2) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 11.22/11.44 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He4].
% 11.22/11.44 congruence.
% 11.22/11.44 apply zenon_He4. apply refl_equal.
% 11.22/11.44 apply zenon_Hea. apply sym_equal. exact zenon_Hb4.
% 11.22/11.44 (* end of lemma zenon_L188_ *)
% 11.22/11.44 assert (zenon_L189_ : (((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 (e3) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H194 zenon_H7a zenon_H117 zenon_H47 zenon_H16e zenon_Hb4 zenon_Hed zenon_He3.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H96 | zenon_intro zenon_H195 ].
% 11.22/11.44 apply (zenon_L187_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H118 | zenon_intro zenon_H196 ].
% 11.22/11.44 apply (zenon_L150_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18a | zenon_intro zenon_H164 ].
% 11.22/11.44 apply (zenon_L188_); trivial.
% 11.22/11.44 apply (zenon_L144_); trivial.
% 11.22/11.44 (* end of lemma zenon_L189_ *)
% 11.22/11.44 assert (zenon_L190_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H197 zenon_H30 zenon_H27 zenon_H5a zenon_H192 zenon_H194 zenon_H7a zenon_H117 zenon_H47 zenon_H16e zenon_Hed zenon_He3.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H3f | zenon_intro zenon_H198 ].
% 11.22/11.44 apply (zenon_L15_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H62 | zenon_intro zenon_H199 ].
% 11.22/11.44 apply (zenon_L103_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H18a | zenon_intro zenon_Hb4 ].
% 11.22/11.44 apply (zenon_L186_); trivial.
% 11.22/11.44 apply (zenon_L189_); trivial.
% 11.22/11.44 (* end of lemma zenon_L190_ *)
% 11.22/11.44 assert (zenon_L191_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_Hc0 zenon_H6e zenon_Hce.
% 11.22/11.44 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e2) (e2)))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_Hc0.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H6e.
% 11.22/11.44 cut (((e0) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H178].
% 11.22/11.44 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 11.22/11.44 congruence.
% 11.22/11.44 apply zenon_H98. apply refl_equal.
% 11.22/11.44 apply zenon_H178. apply sym_equal. exact zenon_Hce.
% 11.22/11.44 (* end of lemma zenon_L191_ *)
% 11.22/11.44 assert (zenon_L192_ : (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H5c zenon_H88 zenon_H11f.
% 11.22/11.44 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e2) (e2)))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H5c.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H88.
% 11.22/11.44 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 11.22/11.44 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H12a].
% 11.22/11.44 congruence.
% 11.22/11.44 apply zenon_H12a. apply refl_equal.
% 11.22/11.44 apply zenon_H19a. apply sym_equal. exact zenon_H11f.
% 11.22/11.44 (* end of lemma zenon_L192_ *)
% 11.22/11.44 assert (zenon_L193_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e3)) -> ((op (e2) (e2)) = (e3)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H65 zenon_H3b zenon_He1.
% 11.22/11.44 cut (((op (e0) (e2)) = (e3)) = ((op (e0) (e2)) = (op (e2) (e2)))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H65.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H3b.
% 11.22/11.44 cut (((e3) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H19b].
% 11.22/11.44 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H140].
% 11.22/11.44 congruence.
% 11.22/11.44 apply zenon_H140. apply refl_equal.
% 11.22/11.44 apply zenon_H19b. apply sym_equal. exact zenon_He1.
% 11.22/11.44 (* end of lemma zenon_L193_ *)
% 11.22/11.44 assert (zenon_L194_ : (((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 (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H19c zenon_H6e zenon_Hc0 zenon_H88 zenon_H5c zenon_H5b zenon_H65 zenon_H3b.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ].
% 11.22/11.44 apply (zenon_L191_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ].
% 11.22/11.44 apply (zenon_L192_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ].
% 11.22/11.44 apply (zenon_L21_); trivial.
% 11.22/11.44 apply (zenon_L193_); trivial.
% 11.22/11.44 (* end of lemma zenon_L194_ *)
% 11.22/11.44 assert (zenon_L195_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H19f zenon_H41 zenon_H18a zenon_H192 zenon_H19c zenon_H6e zenon_Hc0 zenon_H88 zenon_H5c zenon_Had zenon_H65 zenon_H3b.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H2f | zenon_intro zenon_H1a0 ].
% 11.22/11.44 apply (zenon_L13_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a1 ].
% 11.22/11.44 apply (zenon_L194_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H5a | zenon_intro zenon_Hae ].
% 11.22/11.44 apply (zenon_L186_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ].
% 11.22/11.44 apply (zenon_L191_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ].
% 11.22/11.44 apply (zenon_L192_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ].
% 11.22/11.44 apply (zenon_L46_); trivial.
% 11.22/11.44 apply (zenon_L193_); trivial.
% 11.22/11.44 (* end of lemma zenon_L195_ *)
% 11.22/11.44 assert (zenon_L196_ : (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H3c zenon_H15e zenon_H99.
% 11.22/11.44 cut (((op (e3) (e0)) = (e3)) = ((e1) = (e3))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H3c.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H15e.
% 11.22/11.44 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.44 cut (((op (e3) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H100].
% 11.22/11.44 congruence.
% 11.22/11.44 exact (zenon_H100 zenon_H99).
% 11.22/11.44 apply zenon_H36. apply refl_equal.
% 11.22/11.44 (* end of lemma zenon_L196_ *)
% 11.22/11.44 assert (zenon_L197_ : ((op (e3) (e0)) = (e1)) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (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) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (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 (e0) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H99 zenon_H6e zenon_H34 zenon_H113 zenon_H10b zenon_H1e zenon_H13f zenon_H8d zenon_H13a zenon_H65 zenon_Had zenon_H5c zenon_Hc0 zenon_H19c zenon_H192 zenon_H41 zenon_H19f zenon_H197 zenon_H30 zenon_H27 zenon_H194 zenon_H117 zenon_H16e zenon_Hed zenon_He3 zenon_H18e zenon_H18b zenon_H4c zenon_H16c zenon_H49 zenon_H38 zenon_H15a zenon_H157 zenon_H54 zenon_H14f zenon_H11b zenon_H11c zenon_H61 zenon_H141 zenon_H154 zenon_H15f zenon_H15d zenon_H161 zenon_Hcb zenon_H167 zenon_H105 zenon_H16a zenon_H44 zenon_Hb7 zenon_H79 zenon_He5 zenon_H148 zenon_H4d zenon_Hfa zenon_H187 zenon_Hf3 zenon_Heb zenon_H92 zenon_H18f zenon_H1a2 zenon_H20 zenon_H47 zenon_H3c.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.22/11.44 exact (zenon_H38 zenon_H33).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.22/11.44 apply (zenon_L8_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.22/11.44 exact (zenon_H38 zenon_H33).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.22/11.44 apply (zenon_L118_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.22/11.44 apply (zenon_L87_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.22/11.44 apply (zenon_L128_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.22/11.44 apply (zenon_L123_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.22/11.44 exact (zenon_H54 zenon_H56).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ].
% 11.22/11.44 apply (zenon_L48_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ].
% 11.22/11.44 apply (zenon_L185_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ].
% 11.22/11.44 apply (zenon_L190_); trivial.
% 11.22/11.44 apply (zenon_L195_); trivial.
% 11.22/11.44 apply (zenon_L38_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.22/11.44 apply (zenon_L161_); trivial.
% 11.22/11.44 apply (zenon_L196_); trivial.
% 11.22/11.44 apply (zenon_L14_); trivial.
% 11.22/11.44 (* end of lemma zenon_L197_ *)
% 11.22/11.44 assert (zenon_L198_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_Hfa zenon_H20 zenon_H1e zenon_Hcb zenon_H145 zenon_H6f zenon_H117 zenon_H7a.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.22/11.44 apply (zenon_L29_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.22/11.44 apply (zenon_L55_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.22/11.44 apply (zenon_L174_); trivial.
% 11.22/11.44 apply (zenon_L187_); trivial.
% 11.22/11.44 (* end of lemma zenon_L198_ *)
% 11.22/11.44 assert (zenon_L199_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H47 zenon_H1f zenon_H71.
% 11.22/11.44 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H64 ].
% 11.22/11.44 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e1)) = (op (e0) (e3)))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H71.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H1a5.
% 11.22/11.44 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 11.22/11.44 cut (((op (e0) (e3)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a6].
% 11.22/11.44 congruence.
% 11.22/11.44 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e0) (e1)))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H1a6.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H47.
% 11.22/11.44 cut (((e1) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a7].
% 11.22/11.44 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 11.22/11.44 congruence.
% 11.22/11.44 apply zenon_H64. apply refl_equal.
% 11.22/11.44 apply zenon_H1a7. apply sym_equal. exact zenon_H1f.
% 11.22/11.44 apply zenon_H64. apply refl_equal.
% 11.22/11.44 apply zenon_H64. apply refl_equal.
% 11.22/11.44 (* end of lemma zenon_L199_ *)
% 11.22/11.44 assert (zenon_L200_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H105 zenon_H71 zenon_H47 zenon_H54 zenon_H6f zenon_Hc4 zenon_H3c zenon_H147.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.22/11.44 apply (zenon_L199_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.22/11.44 exact (zenon_H54 zenon_H56).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.22/11.44 apply (zenon_L53_); trivial.
% 11.22/11.44 apply (zenon_L157_); trivial.
% 11.22/11.44 (* end of lemma zenon_L200_ *)
% 11.22/11.44 assert (zenon_L201_ : (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e0)) = (e0)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H34 zenon_H15e zenon_Hc3.
% 11.22/11.44 cut (((op (e3) (e0)) = (e3)) = ((e0) = (e3))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H34.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H15e.
% 11.22/11.44 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.44 cut (((op (e3) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1a8].
% 11.22/11.44 congruence.
% 11.22/11.44 exact (zenon_H1a8 zenon_Hc3).
% 11.22/11.44 apply zenon_H36. apply refl_equal.
% 11.22/11.44 (* end of lemma zenon_L201_ *)
% 11.22/11.44 assert (zenon_L202_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((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))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H4c zenon_Hb7 zenon_H4d zenon_H34 zenon_H3c zenon_H113 zenon_H10b zenon_H61 zenon_H44 zenon_H38 zenon_H141 zenon_H13f zenon_H8d zenon_Hed zenon_H13a zenon_H92 zenon_H148 zenon_H79 zenon_H117 zenon_Hcb zenon_H1e zenon_Hfa zenon_H105 zenon_H71 zenon_H54 zenon_Hc4 zenon_H161 zenon_Hc3 zenon_H20.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.22/11.44 exact (zenon_H4d zenon_H4f).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.22/11.44 apply (zenon_L2_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.22/11.44 apply (zenon_L114_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.22/11.44 exact (zenon_H4d zenon_H4f).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.22/11.44 apply (zenon_L125_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.22/11.44 exact (zenon_H38 zenon_H33).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.22/11.44 apply (zenon_L118_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.22/11.44 apply (zenon_L87_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.22/11.44 apply (zenon_L128_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.22/11.44 apply (zenon_L8_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.22/11.44 exact (zenon_H79 zenon_H78).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.22/11.44 apply (zenon_L198_); trivial.
% 11.22/11.44 apply (zenon_L200_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.22/11.44 apply (zenon_L136_); trivial.
% 11.22/11.44 apply (zenon_L201_); trivial.
% 11.22/11.44 apply (zenon_L79_); trivial.
% 11.22/11.44 (* end of lemma zenon_L202_ *)
% 11.22/11.44 assert (zenon_L203_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H4c zenon_H4d zenon_H20 zenon_H13a zenon_Hed zenon_H3c zenon_H1e zenon_H34 zenon_H38 zenon_H44 zenon_H61 zenon_H90.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.22/11.44 exact (zenon_H4d zenon_H4f).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.22/11.44 apply (zenon_L2_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.22/11.44 apply (zenon_L114_); trivial.
% 11.22/11.44 apply (zenon_L127_); trivial.
% 11.22/11.44 (* end of lemma zenon_L203_ *)
% 11.22/11.44 assert (zenon_L204_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H105 zenon_H54 zenon_Hc4 zenon_H106 zenon_H68 zenon_H1a9 zenon_Hfa zenon_H20 zenon_H6f zenon_H1e zenon_Hcb zenon_H5a zenon_H27 zenon_Hf0 zenon_He3 zenon_He5 zenon_Heb zenon_Hec.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.22/11.44 apply (zenon_L2_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.22/11.44 exact (zenon_H54 zenon_H56).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.22/11.44 apply (zenon_L53_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.22/11.44 apply (zenon_L4_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.22/11.44 exact (zenon_H68 zenon_H6c).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.22/11.44 exact (zenon_H1a9 zenon_Hc7).
% 11.22/11.44 apply (zenon_L85_); trivial.
% 11.22/11.44 (* end of lemma zenon_L204_ *)
% 11.22/11.44 assert (zenon_L205_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (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 (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H106 zenon_H1e zenon_H68 zenon_H1a9 zenon_H122 zenon_H20 zenon_H27 zenon_Hec zenon_H34 zenon_H99.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.22/11.44 apply (zenon_L4_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.22/11.44 exact (zenon_H68 zenon_H6c).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.22/11.44 exact (zenon_H1a9 zenon_Hc7).
% 11.22/11.44 apply (zenon_L99_); trivial.
% 11.22/11.44 (* end of lemma zenon_L205_ *)
% 11.22/11.44 assert (zenon_L206_ : (((op (e2) (e2)) = (e2))/\(((~((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) (e1)) = (op (e0) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((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 (e0) (e1)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (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) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H132 zenon_H130 zenon_H122 zenon_H4c zenon_H30 zenon_H27 zenon_H65 zenon_H44 zenon_H41 zenon_H3c zenon_H34 zenon_H49 zenon_H1e zenon_H20 zenon_H4d zenon_H69 zenon_H61 zenon_H5c zenon_Hb7 zenon_Hb9 zenon_Had zenon_Hb0 zenon_H95 zenon_H54 zenon_H8d zenon_H92 zenon_H71 zenon_Hb8 zenon_H105 zenon_H1a9 zenon_Hfa zenon_Hf3 zenon_He3 zenon_He5 zenon_Heb zenon_Hf0 zenon_Hf6 zenon_Hfb zenon_Hcb zenon_H106 zenon_Hc4 zenon_H12d zenon_Hc0 zenon_H113 zenon_H10b zenon_H10e.
% 11.22/11.44 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133.
% 11.22/11.44 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134.
% 11.22/11.44 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136.
% 11.22/11.44 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H139. zenon_intro zenon_H138.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ].
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ].
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ].
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.22/11.44 apply (zenon_L105_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.22/11.44 apply (zenon_L25_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.22/11.44 apply (zenon_L49_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.22/11.44 exact (zenon_H4d zenon_H4f).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.22/11.44 apply (zenon_L2_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.22/11.44 exact (zenon_H4d zenon_H4f).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.22/11.44 apply (zenon_L28_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.22/11.44 apply (zenon_L2_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.22/11.44 exact (zenon_H54 zenon_H56).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.22/11.44 apply (zenon_L53_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.22/11.44 apply (zenon_L4_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.22/11.44 exact (zenon_H68 zenon_H6c).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.22/11.44 exact (zenon_H1a9 zenon_Hc7).
% 11.22/11.44 apply (zenon_L78_); trivial.
% 11.22/11.44 apply (zenon_L79_); trivial.
% 11.22/11.44 apply (zenon_L24_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.22/11.44 exact (zenon_H4d zenon_H4f).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.22/11.44 apply (zenon_L28_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.22/11.44 apply (zenon_L204_); trivial.
% 11.22/11.44 apply (zenon_L205_); trivial.
% 11.22/11.44 apply (zenon_L110_); trivial.
% 11.22/11.44 apply (zenon_L111_); trivial.
% 11.22/11.44 (* end of lemma zenon_L206_ *)
% 11.22/11.44 assert (zenon_L207_ : (((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)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H161 zenon_H38 zenon_H3c zenon_H6d zenon_H34 zenon_H6e zenon_H15d zenon_Hed.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.22/11.44 exact (zenon_H38 zenon_H33).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.22/11.44 apply (zenon_L123_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.22/11.44 apply (zenon_L161_); trivial.
% 11.22/11.44 apply (zenon_L141_); trivial.
% 11.22/11.44 (* end of lemma zenon_L207_ *)
% 11.22/11.44 assert (zenon_L208_ : ((op (e2) (e0)) = (e2)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_Hb5 zenon_H26 zenon_H1aa.
% 11.22/11.44 elim (classic ((op (e2) (e0)) = (op (e2) (e0)))); [ zenon_intro zenon_H1ab | zenon_intro zenon_H98 ].
% 11.22/11.44 cut (((op (e2) (e0)) = (op (e2) (e0))) = ((op (e0) (e0)) = (op (e2) (e0)))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H1aa.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H1ab.
% 11.22/11.44 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 11.22/11.44 cut (((op (e2) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1ac].
% 11.22/11.44 congruence.
% 11.22/11.44 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e0) (e0)))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H1ac.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_Hb5.
% 11.22/11.44 cut (((e2) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 11.22/11.44 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 11.22/11.44 congruence.
% 11.22/11.44 apply zenon_H98. apply refl_equal.
% 11.22/11.44 apply zenon_H172. apply sym_equal. exact zenon_H26.
% 11.22/11.44 apply zenon_H98. apply refl_equal.
% 11.22/11.44 apply zenon_H98. apply refl_equal.
% 11.22/11.44 (* end of lemma zenon_L208_ *)
% 11.22/11.44 assert (zenon_L209_ : (((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)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H44 zenon_H38 zenon_H34 zenon_H1e zenon_H41 zenon_H2f zenon_H47 zenon_H3c.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.22/11.44 exact (zenon_H38 zenon_H33).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.22/11.44 apply (zenon_L8_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.22/11.44 apply (zenon_L13_); trivial.
% 11.22/11.44 apply (zenon_L14_); trivial.
% 11.22/11.44 (* end of lemma zenon_L209_ *)
% 11.22/11.44 assert (zenon_L210_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (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 (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((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)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H4c zenon_H4d zenon_H49 zenon_H113 zenon_H10b zenon_H61 zenon_H141 zenon_H13f zenon_H79 zenon_H8d zenon_H13a zenon_H92 zenon_H15d zenon_H161 zenon_H54 zenon_H65 zenon_Had zenon_H5c zenon_Hc0 zenon_H6e zenon_H19c zenon_H192 zenon_H19f zenon_H197 zenon_H194 zenon_H117 zenon_H16e zenon_Hed zenon_He3 zenon_H1a9 zenon_H1aa zenon_H1a2 zenon_H20 zenon_H167 zenon_Hcb zenon_He2 zenon_H27 zenon_H3c zenon_H41 zenon_H1e zenon_H34 zenon_H38 zenon_H44 zenon_H30.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.22/11.44 exact (zenon_H4d zenon_H4f).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.22/11.44 apply (zenon_L2_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.22/11.44 apply (zenon_L114_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.22/11.44 exact (zenon_H38 zenon_H33).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.22/11.44 apply (zenon_L163_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.22/11.44 apply (zenon_L121_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.22/11.44 apply (zenon_L87_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.22/11.44 apply (zenon_L128_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.22/11.44 apply (zenon_L207_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.22/11.44 exact (zenon_H54 zenon_H56).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ].
% 11.22/11.44 apply (zenon_L208_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ].
% 11.22/11.44 exact (zenon_H1a9 zenon_Hc7).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ].
% 11.22/11.44 apply (zenon_L190_); trivial.
% 11.22/11.44 apply (zenon_L195_); trivial.
% 11.22/11.44 apply (zenon_L38_); trivial.
% 11.22/11.44 apply (zenon_L14_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.22/11.44 apply (zenon_L4_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.22/11.44 apply (zenon_L209_); trivial.
% 11.22/11.44 apply (zenon_L15_); trivial.
% 11.22/11.44 (* end of lemma zenon_L210_ *)
% 11.22/11.44 assert (zenon_L211_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e2))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H1f zenon_H2c zenon_H30.
% 11.22/11.44 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ].
% 11.22/11.44 cut (((e2) = (e2)) = ((e1) = (e2))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H30.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H28.
% 11.22/11.44 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.44 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H31].
% 11.22/11.44 congruence.
% 11.22/11.44 cut (((op (e0) (e1)) = (e1)) = ((e2) = (e1))).
% 11.22/11.44 intro zenon_D_pnotp.
% 11.22/11.44 apply zenon_H31.
% 11.22/11.44 rewrite <- zenon_D_pnotp.
% 11.22/11.44 exact zenon_H1f.
% 11.22/11.44 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.22/11.44 cut (((op (e0) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H2d].
% 11.22/11.44 congruence.
% 11.22/11.44 exact (zenon_H2d zenon_H2c).
% 11.22/11.44 apply zenon_H22. apply refl_equal.
% 11.22/11.44 apply zenon_H29. apply refl_equal.
% 11.22/11.44 apply zenon_H29. apply refl_equal.
% 11.22/11.44 (* end of lemma zenon_L211_ *)
% 11.22/11.44 assert (zenon_L212_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.22/11.44 do 0 intro. intros zenon_H44 zenon_H38 zenon_H3c zenon_H1f zenon_H41 zenon_H2f zenon_Hed zenon_H13a.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.22/11.44 exact (zenon_H38 zenon_H33).
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.22/11.44 apply (zenon_L130_); trivial.
% 11.22/11.44 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.22/11.44 apply (zenon_L13_); trivial.
% 11.22/11.44 apply (zenon_L113_); trivial.
% 11.22/11.44 (* end of lemma zenon_L212_ *)
% 11.22/11.44 assert (zenon_L213_ : ((op (e2) (e3)) = (e2)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H18a zenon_H3f zenon_H16e.
% 11.22/11.45 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H18c | zenon_intro zenon_He4 ].
% 11.22/11.45 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H16e.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_H18c.
% 11.22/11.45 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He4].
% 11.22/11.45 cut (((op (e2) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1ad].
% 11.22/11.45 congruence.
% 11.22/11.45 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e0) (e3)))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H1ad.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_H18a.
% 11.22/11.45 cut (((e2) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1ae].
% 11.22/11.45 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He4].
% 11.22/11.45 congruence.
% 11.22/11.45 apply zenon_He4. apply refl_equal.
% 11.22/11.45 apply zenon_H1ae. apply sym_equal. exact zenon_H3f.
% 11.22/11.45 apply zenon_He4. apply refl_equal.
% 11.22/11.45 apply zenon_He4. apply refl_equal.
% 11.22/11.45 (* end of lemma zenon_L213_ *)
% 11.22/11.45 assert (zenon_L214_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H49 zenon_H27 zenon_H25 zenon_H30 zenon_H13a zenon_Hed zenon_H41 zenon_H1f zenon_H3c zenon_H38 zenon_H44 zenon_H18a zenon_H16e.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.22/11.45 apply (zenon_L3_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.22/11.45 apply (zenon_L211_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.22/11.45 apply (zenon_L212_); trivial.
% 11.22/11.45 apply (zenon_L213_); trivial.
% 11.22/11.45 (* end of lemma zenon_L214_ *)
% 11.22/11.45 assert (zenon_L215_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H44 zenon_H38 zenon_H41 zenon_H2c zenon_H3c zenon_H2e zenon_Hed zenon_H13a.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.22/11.45 exact (zenon_H38 zenon_H33).
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.22/11.45 apply (zenon_L65_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.22/11.45 apply (zenon_L9_); trivial.
% 11.22/11.45 apply (zenon_L113_); trivial.
% 11.22/11.45 (* end of lemma zenon_L215_ *)
% 11.22/11.45 assert (zenon_L216_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H49 zenon_H27 zenon_H25 zenon_H13a zenon_Hed zenon_H3c zenon_H41 zenon_H38 zenon_H44 zenon_H30 zenon_H2e zenon_H18a zenon_H16e.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.22/11.45 apply (zenon_L3_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.22/11.45 apply (zenon_L215_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.22/11.45 apply (zenon_L6_); trivial.
% 11.22/11.45 apply (zenon_L213_); trivial.
% 11.22/11.45 (* end of lemma zenon_L216_ *)
% 11.22/11.45 assert (zenon_L217_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H4c zenon_H4d zenon_H16e zenon_H18a zenon_H3c zenon_H49 zenon_H25 zenon_H27 zenon_H13a zenon_Hed zenon_H41 zenon_H1e zenon_H34 zenon_H38 zenon_H44 zenon_H30.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.22/11.45 exact (zenon_H4d zenon_H4f).
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.22/11.45 apply (zenon_L214_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.22/11.45 apply (zenon_L216_); trivial.
% 11.22/11.45 apply (zenon_L116_); trivial.
% 11.22/11.45 (* end of lemma zenon_L217_ *)
% 11.22/11.45 assert (zenon_L218_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((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) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e3))) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H61 zenon_H44 zenon_H38 zenon_H34 zenon_H1e zenon_Hed zenon_H13a zenon_H20 zenon_H4d zenon_H4c zenon_H19f zenon_H41 zenon_H18a zenon_H192 zenon_H19c zenon_H6e zenon_Hc0 zenon_H5c zenon_Had zenon_H65 zenon_H54 zenon_H161 zenon_H15d zenon_H92 zenon_H3c.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.22/11.45 exact (zenon_H4d zenon_H4f).
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.22/11.45 apply (zenon_L2_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.22/11.45 apply (zenon_L114_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.22/11.45 exact (zenon_H38 zenon_H33).
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.22/11.45 apply (zenon_L8_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.22/11.45 apply (zenon_L207_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.22/11.45 exact (zenon_H54 zenon_H56).
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.22/11.45 apply (zenon_L195_); trivial.
% 11.22/11.45 apply (zenon_L203_); trivial.
% 11.22/11.45 apply (zenon_L14_); trivial.
% 11.22/11.45 (* end of lemma zenon_L218_ *)
% 11.22/11.45 assert (zenon_L219_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (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) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((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))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H12d zenon_H30 zenon_H27 zenon_H49 zenon_H16e zenon_H15d zenon_H65 zenon_Had zenon_H5c zenon_Hc0 zenon_H19c zenon_H192 zenon_H18a zenon_H41 zenon_H19f zenon_H4c zenon_Hb7 zenon_H4d zenon_H34 zenon_H3c zenon_H113 zenon_H10b zenon_H61 zenon_H44 zenon_H38 zenon_H141 zenon_H13f zenon_H8d zenon_Hed zenon_H13a zenon_H92 zenon_H148 zenon_H79 zenon_H117 zenon_Hcb zenon_H1e zenon_Hfa zenon_H105 zenon_H71 zenon_H54 zenon_Hc4 zenon_H161 zenon_H20.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.22/11.45 apply (zenon_L217_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.22/11.45 apply (zenon_L122_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.22/11.45 apply (zenon_L218_); trivial.
% 11.22/11.45 apply (zenon_L202_); trivial.
% 11.22/11.45 (* end of lemma zenon_L219_ *)
% 11.22/11.45 assert (zenon_L220_ : ((~((op (e2) (e2)) = (e1)))\/(~((op (e2) (e1)) = (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (((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))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (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 (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (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)) = (op (e2) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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)))))))))) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H1af zenon_H1aa zenon_H4d zenon_H20 zenon_H1e zenon_H49 zenon_H34 zenon_H3c zenon_H41 zenon_H44 zenon_H30 zenon_H27 zenon_H4c zenon_H54 zenon_H12d zenon_Hc4 zenon_H106 zenon_Hcb zenon_Hfb zenon_Hf6 zenon_Hf0 zenon_Heb zenon_He5 zenon_He3 zenon_Hf3 zenon_Hfa zenon_Hc8 zenon_H105 zenon_Hc0 zenon_Hb8 zenon_H71 zenon_H92 zenon_H8d zenon_H95 zenon_Hb0 zenon_Had zenon_Hb9 zenon_Hb7 zenon_H5c zenon_H61 zenon_H69 zenon_H65 zenon_H125 zenon_H10e zenon_H113 zenon_H122 zenon_H117 zenon_H11b zenon_H10b zenon_H101 zenon_H130 zenon_H13a zenon_H13f zenon_H141 zenon_H1a2 zenon_H19c zenon_H19f zenon_H192 zenon_H194 zenon_H197 zenon_H18f zenon_H187 zenon_H148 zenon_H16a zenon_H167 zenon_H161 zenon_H15d zenon_H154 zenon_H14f zenon_H157 zenon_H15a zenon_H16c zenon_H16e zenon_H18b zenon_H1b0.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11c | zenon_intro zenon_H1a9 ].
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.22/11.45 apply (zenon_L18_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.22/11.45 apply (zenon_L19_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.22/11.45 apply (zenon_L112_); trivial.
% 11.22/11.45 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160.
% 11.22/11.45 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3.
% 11.22/11.45 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5.
% 11.22/11.45 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ].
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.22/11.45 apply (zenon_L117_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.22/11.45 apply (zenon_L122_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.22/11.45 exact (zenon_H4d zenon_H4f).
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.22/11.45 apply (zenon_L2_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.22/11.45 apply (zenon_L114_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.22/11.45 exact (zenon_H4d zenon_H4f).
% 11.22/11.45 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.22/11.45 apply (zenon_L125_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.22/11.45 apply (zenon_L29_); trivial.
% 11.22/11.45 apply (zenon_L197_); trivial.
% 11.22/11.45 apply (zenon_L202_); trivial.
% 11.22/11.45 apply (zenon_L203_); trivial.
% 11.22/11.45 apply (zenon_L30_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.22/11.45 apply (zenon_L18_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.22/11.45 apply (zenon_L19_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.22/11.45 apply (zenon_L206_); trivial.
% 11.22/11.45 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160.
% 11.22/11.45 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3.
% 11.22/11.45 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5.
% 11.22/11.45 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ].
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.22/11.45 apply (zenon_L17_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.22/11.45 apply (zenon_L122_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.22/11.45 apply (zenon_L210_); trivial.
% 11.22/11.45 apply (zenon_L202_); trivial.
% 11.22/11.45 apply (zenon_L219_); trivial.
% 11.22/11.45 apply (zenon_L203_); trivial.
% 11.22/11.45 apply (zenon_L30_); trivial.
% 11.22/11.45 (* end of lemma zenon_L220_ *)
% 11.22/11.45 assert (zenon_L221_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False).
% 11.22/11.45 do 0 intro. intros zenon_Hd0 zenon_H25 zenon_H1b8.
% 11.22/11.45 elim (classic ((op (e0) (e2)) = (op (e0) (e2)))); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H140 ].
% 11.22/11.45 cut (((op (e0) (e2)) = (op (e0) (e2))) = ((op (e0) (e0)) = (op (e0) (e2)))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H1b8.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_H1b9.
% 11.22/11.45 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H140].
% 11.22/11.45 cut (((op (e0) (e2)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1ba].
% 11.22/11.45 congruence.
% 11.22/11.45 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e0) (e0)))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H1ba.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_Hd0.
% 11.22/11.45 cut (((e0) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 11.22/11.45 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H140].
% 11.22/11.45 congruence.
% 11.22/11.45 apply zenon_H140. apply refl_equal.
% 11.22/11.45 apply zenon_H1bb. apply sym_equal. exact zenon_H25.
% 11.22/11.45 apply zenon_H140. apply refl_equal.
% 11.22/11.45 apply zenon_H140. apply refl_equal.
% 11.22/11.45 (* end of lemma zenon_L221_ *)
% 11.22/11.45 assert (zenon_L222_ : (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H51 zenon_Hd0 zenon_H1b8.
% 11.22/11.45 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52.
% 11.22/11.45 apply (zenon_L221_); trivial.
% 11.22/11.45 (* end of lemma zenon_L222_ *)
% 11.22/11.45 assert (zenon_L223_ : ((op (e1) (e1)) = (e1)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H56 zenon_H1f zenon_H10b.
% 11.22/11.45 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1bd ].
% 11.22/11.45 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (e0) (e1)) = (op (e1) (e1)))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H10b.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_H1bc.
% 11.22/11.45 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1bd].
% 11.22/11.45 cut (((op (e1) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1be].
% 11.22/11.45 congruence.
% 11.22/11.45 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e0) (e1)))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H1be.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_H56.
% 11.22/11.45 cut (((e1) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a7].
% 11.22/11.45 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1bd].
% 11.22/11.45 congruence.
% 11.22/11.45 apply zenon_H1bd. apply refl_equal.
% 11.22/11.45 apply zenon_H1a7. apply sym_equal. exact zenon_H1f.
% 11.22/11.45 apply zenon_H1bd. apply refl_equal.
% 11.22/11.45 apply zenon_H1bd. apply refl_equal.
% 11.22/11.45 (* end of lemma zenon_L223_ *)
% 11.22/11.45 assert (zenon_L224_ : (((op (e1) (e1)) = (e1))/\(((~((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)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H53 zenon_H10b zenon_H20 zenon_Hd0 zenon_H49 zenon_H30 zenon_H27 zenon_H41 zenon_H34 zenon_H3c zenon_H44 zenon_H2b zenon_H4c.
% 11.22/11.45 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 11.22/11.45 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H4d | zenon_intro zenon_H1e ].
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.22/11.45 exact (zenon_H4d zenon_H4f).
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.22/11.45 apply (zenon_L223_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.22/11.45 apply (zenon_L61_); trivial.
% 11.22/11.45 apply (zenon_L67_); trivial.
% 11.22/11.45 apply (zenon_L68_); trivial.
% 11.22/11.45 (* end of lemma zenon_L224_ *)
% 11.22/11.45 assert (zenon_L225_ : (((op (e2) (e2)) = (e2))/\(((~((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 (e2) (e2)) = (e2))) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H132 zenon_H1c1.
% 11.22/11.45 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133.
% 11.22/11.45 exact (zenon_H1c1 zenon_H5a).
% 11.22/11.45 (* end of lemma zenon_L225_ *)
% 11.22/11.45 assert (zenon_L226_ : (~((op (e0) (op (e0) (e0))) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e1)) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H1c2 zenon_H4f.
% 11.22/11.45 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4d].
% 11.22/11.45 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.45 congruence.
% 11.22/11.45 apply zenon_H1d. apply refl_equal.
% 11.22/11.45 exact (zenon_H4d zenon_H4f).
% 11.22/11.45 (* end of lemma zenon_L226_ *)
% 11.22/11.45 assert (zenon_L227_ : ((op (e0) (e1)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H2c zenon_H3b zenon_H4f.
% 11.22/11.45 apply (zenon_notand_s _ _ ax22); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c3 ].
% 11.22/11.45 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd5 ].
% 11.22/11.45 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((e2) = (op (e0) (op (e0) (e0))))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H1c4.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_Hd4.
% 11.22/11.45 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hd5].
% 11.22/11.45 cut (((op (e0) (op (e0) (e0))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1c5].
% 11.22/11.45 congruence.
% 11.22/11.45 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (op (e0) (e0))) = (e2))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H1c5.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_H2c.
% 11.22/11.45 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.45 cut (((op (e0) (e1)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1c6].
% 11.22/11.45 congruence.
% 11.22/11.45 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd5 ].
% 11.22/11.45 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e1)) = (op (e0) (op (e0) (e0))))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H1c6.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_Hd4.
% 11.22/11.45 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hd5].
% 11.22/11.45 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 11.22/11.45 congruence.
% 11.22/11.45 apply (zenon_L226_); trivial.
% 11.22/11.45 apply zenon_Hd5. apply refl_equal.
% 11.22/11.45 apply zenon_Hd5. apply refl_equal.
% 11.22/11.45 apply zenon_H29. apply refl_equal.
% 11.22/11.45 apply zenon_Hd5. apply refl_equal.
% 11.22/11.45 apply zenon_Hd5. apply refl_equal.
% 11.22/11.45 apply (zenon_notand_s _ _ zenon_H1c3); [ zenon_intro zenon_H173 | zenon_intro zenon_H1c7 ].
% 11.22/11.45 elim (classic ((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0)))))); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hdc ].
% 11.22/11.45 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0))))) = ((e3) = (op (e0) (op (e0) (op (e0) (e0)))))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H173.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_Hdb.
% 11.22/11.45 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0)))))); [idtac | apply NNPP; zenon_intro zenon_Hdc].
% 11.22/11.45 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H174].
% 11.22/11.45 congruence.
% 11.22/11.45 cut (((op (e0) (e2)) = (e3)) = ((op (e0) (op (e0) (op (e0) (e0)))) = (e3))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H174.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_H3b.
% 11.22/11.45 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.45 cut (((op (e0) (e2)) = (op (e0) (op (e0) (op (e0) (e0)))))); [idtac | apply NNPP; zenon_intro zenon_H1c8].
% 11.22/11.45 congruence.
% 11.22/11.45 elim (classic ((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0)))))); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hdc ].
% 11.22/11.45 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0))))) = ((op (e0) (e2)) = (op (e0) (op (e0) (op (e0) (e0)))))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H1c8.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_Hdb.
% 11.22/11.45 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0)))))); [idtac | apply NNPP; zenon_intro zenon_Hdc].
% 11.22/11.45 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1c9].
% 11.22/11.45 congruence.
% 11.22/11.45 cut (((op (e0) (op (e0) (e0))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1c5].
% 11.22/11.45 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.45 congruence.
% 11.22/11.45 apply zenon_H1d. apply refl_equal.
% 11.22/11.45 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (op (e0) (e0))) = (e2))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H1c5.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_H2c.
% 11.22/11.45 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.45 cut (((op (e0) (e1)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1c6].
% 11.22/11.45 congruence.
% 11.22/11.45 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd5 ].
% 11.22/11.45 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e1)) = (op (e0) (op (e0) (e0))))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H1c6.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_Hd4.
% 11.22/11.45 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hd5].
% 11.22/11.45 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 11.22/11.45 congruence.
% 11.22/11.45 apply (zenon_L226_); trivial.
% 11.22/11.45 apply zenon_Hd5. apply refl_equal.
% 11.22/11.45 apply zenon_Hd5. apply refl_equal.
% 11.22/11.45 apply zenon_H29. apply refl_equal.
% 11.22/11.45 apply zenon_Hdc. apply refl_equal.
% 11.22/11.45 apply zenon_Hdc. apply refl_equal.
% 11.22/11.45 apply zenon_H36. apply refl_equal.
% 11.22/11.45 apply zenon_Hdc. apply refl_equal.
% 11.22/11.45 apply zenon_Hdc. apply refl_equal.
% 11.22/11.45 apply zenon_H1c7. apply sym_equal. exact zenon_H4f.
% 11.22/11.45 (* end of lemma zenon_L227_ *)
% 11.22/11.45 assert (zenon_L228_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H44 zenon_H38 zenon_H41 zenon_H4f zenon_H2c zenon_Hed zenon_H13a.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.22/11.45 exact (zenon_H38 zenon_H33).
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.22/11.45 apply (zenon_L65_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.22/11.45 apply (zenon_L227_); trivial.
% 11.22/11.45 apply (zenon_L113_); trivial.
% 11.22/11.45 (* end of lemma zenon_L228_ *)
% 11.22/11.45 assert (zenon_L229_ : (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H10e zenon_H75 zenon_H89.
% 11.22/11.45 cut (((op (e1) (e0)) = (e3)) = ((op (e1) (e0)) = (op (e1) (e2)))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H10e.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_H75.
% 11.22/11.45 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H127].
% 11.22/11.45 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 11.22/11.45 congruence.
% 11.22/11.45 apply zenon_H110. apply refl_equal.
% 11.22/11.45 apply zenon_H127. apply sym_equal. exact zenon_H89.
% 11.22/11.45 (* end of lemma zenon_L229_ *)
% 11.22/11.45 assert (zenon_L230_ : (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H15f zenon_Heb zenon_Hec.
% 11.22/11.45 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160.
% 11.22/11.45 apply (zenon_L74_); trivial.
% 11.22/11.45 (* end of lemma zenon_L230_ *)
% 11.22/11.45 assert (zenon_L231_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e2)) = (op (e3) (e3)))) -> False).
% 11.22/11.45 do 0 intro. intros zenon_Hf3 zenon_H34 zenon_Hd0 zenon_H75 zenon_H10e zenon_He2 zenon_H15f zenon_Heb.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.22/11.45 apply (zenon_L59_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.22/11.45 apply (zenon_L229_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.22/11.45 exact (zenon_He2 zenon_He1).
% 11.22/11.45 apply (zenon_L230_); trivial.
% 11.22/11.45 (* end of lemma zenon_L231_ *)
% 11.22/11.45 assert (zenon_L232_ : (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H1ca zenon_H57 zenon_H10c.
% 11.22/11.45 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e1) (e1)))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H1ca.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_H57.
% 11.22/11.45 cut (((e0) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H10d].
% 11.22/11.45 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 11.22/11.45 congruence.
% 11.22/11.45 apply zenon_H110. apply refl_equal.
% 11.22/11.45 apply zenon_H10d. apply sym_equal. exact zenon_H10c.
% 11.22/11.45 (* end of lemma zenon_L232_ *)
% 11.22/11.45 assert (zenon_L233_ : ((op (e2) (e0)) = (e2)) -> ((op (e2) (e0)) = (e3)) -> (~((e2) = (e3))) -> False).
% 11.22/11.45 do 0 intro. intros zenon_Hb5 zenon_H152 zenon_H41.
% 11.22/11.45 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.22/11.45 cut (((e3) = (e3)) = ((e2) = (e3))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H41.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_H35.
% 11.22/11.45 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.45 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H42].
% 11.22/11.45 congruence.
% 11.22/11.45 cut (((op (e2) (e0)) = (e2)) = ((e3) = (e2))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H42.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_Hb5.
% 11.22/11.45 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.45 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H153].
% 11.22/11.45 congruence.
% 11.22/11.45 exact (zenon_H153 zenon_H152).
% 11.22/11.45 apply zenon_H29. apply refl_equal.
% 11.22/11.45 apply zenon_H36. apply refl_equal.
% 11.22/11.45 apply zenon_H36. apply refl_equal.
% 11.22/11.45 (* end of lemma zenon_L233_ *)
% 11.22/11.45 assert (zenon_L234_ : (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H1cb zenon_Hc7 zenon_Ha4.
% 11.22/11.45 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e3) (e1)))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H1cb.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_Hc7.
% 11.22/11.45 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1cc].
% 11.22/11.45 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 11.22/11.45 congruence.
% 11.22/11.45 apply zenon_H14c. apply refl_equal.
% 11.22/11.45 apply zenon_H1cc. apply sym_equal. exact zenon_Ha4.
% 11.22/11.45 (* end of lemma zenon_L234_ *)
% 11.22/11.45 assert (zenon_L235_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e3)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H1a2 zenon_H41 zenon_H152 zenon_Ha4 zenon_H1cb zenon_H1c1 zenon_H3f zenon_H16e.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ].
% 11.22/11.45 apply (zenon_L233_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ].
% 11.22/11.45 apply (zenon_L234_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ].
% 11.22/11.45 exact (zenon_H1c1 zenon_H5a).
% 11.22/11.45 apply (zenon_L213_); trivial.
% 11.22/11.45 (* end of lemma zenon_L235_ *)
% 11.22/11.45 assert (zenon_L236_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H106 zenon_H39 zenon_H68 zenon_Hcc zenon_H27 zenon_H1a2 zenon_H41 zenon_H152 zenon_H1cb zenon_H1c1 zenon_H3f zenon_H16e.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.22/11.45 apply (zenon_L65_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.22/11.45 exact (zenon_H68 zenon_H6c).
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.22/11.45 apply (zenon_L164_); trivial.
% 11.22/11.45 apply (zenon_L235_); trivial.
% 11.22/11.45 (* end of lemma zenon_L236_ *)
% 11.22/11.45 assert (zenon_L237_ : (((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 (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H44 zenon_H38 zenon_He3 zenon_He2 zenon_Hcb zenon_H6e zenon_H167 zenon_H34 zenon_Hd0 zenon_Hed zenon_H13a.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.22/11.45 exact (zenon_H38 zenon_H33).
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.22/11.45 apply (zenon_L163_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.22/11.45 apply (zenon_L59_); trivial.
% 11.22/11.45 apply (zenon_L113_); trivial.
% 11.22/11.45 (* end of lemma zenon_L237_ *)
% 11.22/11.45 assert (zenon_L238_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H161 zenon_H38 zenon_H34 zenon_H57 zenon_H3c zenon_H6f zenon_H15d zenon_Hed.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.22/11.45 exact (zenon_H38 zenon_H33).
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.22/11.45 apply (zenon_L118_); trivial.
% 11.22/11.45 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.22/11.45 apply (zenon_L136_); trivial.
% 11.22/11.45 apply (zenon_L141_); trivial.
% 11.22/11.45 (* end of lemma zenon_L238_ *)
% 11.22/11.45 assert (zenon_L239_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H157 zenon_H56 zenon_Hc5.
% 11.22/11.45 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e2) (e1)))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H157.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_H56.
% 11.22/11.45 cut (((e1) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hc6].
% 11.22/11.45 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1bd].
% 11.22/11.45 congruence.
% 11.22/11.45 apply zenon_H1bd. apply refl_equal.
% 11.22/11.45 apply zenon_Hc6. apply sym_equal. exact zenon_Hc5.
% 11.22/11.45 (* end of lemma zenon_L239_ *)
% 11.22/11.45 assert (zenon_L240_ : (~((op (e2) (op (e2) (e2))) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e1)) -> False).
% 11.22/11.45 do 0 intro. intros zenon_H1cd zenon_H11f.
% 11.22/11.45 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H11c].
% 11.22/11.45 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.45 congruence.
% 11.22/11.45 apply zenon_H29. apply refl_equal.
% 11.22/11.45 exact (zenon_H11c zenon_H11f).
% 11.22/11.45 (* end of lemma zenon_L240_ *)
% 11.22/11.45 assert (zenon_L241_ : ((op (e2) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (op (e2) (op (e2) (e2))))) -> False).
% 11.22/11.45 do 0 intro. intros zenon_Hcc zenon_H11f zenon_H1ce.
% 11.22/11.45 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17c | zenon_intro zenon_H17d ].
% 11.22/11.45 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((e0) = (op (e2) (op (e2) (e2))))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H1ce.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_H17c.
% 11.22/11.45 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17d].
% 11.22/11.45 cut (((op (e2) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1cf].
% 11.22/11.45 congruence.
% 11.22/11.45 cut (((op (e2) (e1)) = (e0)) = ((op (e2) (op (e2) (e2))) = (e0))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H1cf.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_Hcc.
% 11.22/11.45 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.45 cut (((op (e2) (e1)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1d0].
% 11.22/11.45 congruence.
% 11.22/11.45 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17c | zenon_intro zenon_H17d ].
% 11.22/11.45 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e1)) = (op (e2) (op (e2) (e2))))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H1d0.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_H17c.
% 11.22/11.45 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17d].
% 11.22/11.45 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1cd].
% 11.22/11.45 congruence.
% 11.22/11.45 apply (zenon_L240_); trivial.
% 11.22/11.45 apply zenon_H17d. apply refl_equal.
% 11.22/11.45 apply zenon_H17d. apply refl_equal.
% 11.22/11.45 apply zenon_H1d. apply refl_equal.
% 11.22/11.45 apply zenon_H17d. apply refl_equal.
% 11.22/11.45 apply zenon_H17d. apply refl_equal.
% 11.22/11.45 (* end of lemma zenon_L241_ *)
% 11.22/11.45 assert (zenon_L242_ : ((op (e2) (e1)) = (e0)) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> False).
% 11.22/11.45 do 0 intro. intros zenon_Hcc zenon_H152 zenon_H11f.
% 11.22/11.45 apply (zenon_notand_s _ _ ax11); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1d1 ].
% 11.22/11.45 apply (zenon_L241_); trivial.
% 11.22/11.45 apply (zenon_notand_s _ _ zenon_H1d1); [ zenon_intro zenon_H181 | zenon_intro zenon_H19a ].
% 11.22/11.45 elim (classic ((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2)))))); [ zenon_intro zenon_H182 | zenon_intro zenon_H183 ].
% 11.22/11.45 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2))))) = ((e3) = (op (e2) (op (e2) (op (e2) (e2)))))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H181.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_H182.
% 11.22/11.45 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2)))))); [idtac | apply NNPP; zenon_intro zenon_H183].
% 11.22/11.45 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H184].
% 11.22/11.45 congruence.
% 11.22/11.45 cut (((op (e2) (e0)) = (e3)) = ((op (e2) (op (e2) (op (e2) (e2)))) = (e3))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H184.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_H152.
% 11.22/11.45 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.22/11.45 cut (((op (e2) (e0)) = (op (e2) (op (e2) (op (e2) (e2)))))); [idtac | apply NNPP; zenon_intro zenon_H1d2].
% 11.22/11.45 congruence.
% 11.22/11.45 elim (classic ((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2)))))); [ zenon_intro zenon_H182 | zenon_intro zenon_H183 ].
% 11.22/11.45 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2))))) = ((op (e2) (e0)) = (op (e2) (op (e2) (op (e2) (e2)))))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H1d2.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_H182.
% 11.22/11.45 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2)))))); [idtac | apply NNPP; zenon_intro zenon_H183].
% 11.22/11.45 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1d3].
% 11.22/11.45 congruence.
% 11.22/11.45 cut (((op (e2) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1cf].
% 11.22/11.45 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.22/11.45 congruence.
% 11.22/11.45 apply zenon_H29. apply refl_equal.
% 11.22/11.45 cut (((op (e2) (e1)) = (e0)) = ((op (e2) (op (e2) (e2))) = (e0))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H1cf.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_Hcc.
% 11.22/11.45 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.22/11.45 cut (((op (e2) (e1)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1d0].
% 11.22/11.45 congruence.
% 11.22/11.45 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17c | zenon_intro zenon_H17d ].
% 11.22/11.45 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e1)) = (op (e2) (op (e2) (e2))))).
% 11.22/11.45 intro zenon_D_pnotp.
% 11.22/11.45 apply zenon_H1d0.
% 11.22/11.45 rewrite <- zenon_D_pnotp.
% 11.22/11.45 exact zenon_H17c.
% 11.22/11.45 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17d].
% 11.22/11.45 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1cd].
% 11.22/11.45 congruence.
% 11.22/11.45 apply (zenon_L240_); trivial.
% 11.22/11.45 apply zenon_H17d. apply refl_equal.
% 11.22/11.45 apply zenon_H17d. apply refl_equal.
% 11.22/11.45 apply zenon_H1d. apply refl_equal.
% 11.22/11.45 apply zenon_H183. apply refl_equal.
% 11.22/11.45 apply zenon_H183. apply refl_equal.
% 11.22/11.45 apply zenon_H36. apply refl_equal.
% 11.22/11.45 apply zenon_H183. apply refl_equal.
% 11.22/11.45 apply zenon_H183. apply refl_equal.
% 11.29/11.45 apply zenon_H19a. apply sym_equal. exact zenon_H11f.
% 11.29/11.45 (* end of lemma zenon_L242_ *)
% 11.29/11.45 assert (zenon_L243_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (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).
% 11.29/11.45 do 0 intro. intros zenon_H167 zenon_H41 zenon_Hb5 zenon_H39 zenon_Hcb zenon_He2 zenon_Hed zenon_He3.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ].
% 11.29/11.45 apply (zenon_L233_); trivial.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ].
% 11.29/11.45 apply (zenon_L162_); trivial.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ].
% 11.29/11.45 exact (zenon_He2 zenon_He1).
% 11.29/11.45 apply (zenon_L144_); trivial.
% 11.29/11.45 (* end of lemma zenon_L243_ *)
% 11.29/11.45 assert (zenon_L244_ : (((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 (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.29/11.45 do 0 intro. intros zenon_H44 zenon_H38 zenon_He3 zenon_He2 zenon_Hcb zenon_Hb5 zenon_H41 zenon_H167 zenon_H34 zenon_Hd0 zenon_Hed zenon_H13a.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.29/11.45 exact (zenon_H38 zenon_H33).
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.29/11.45 apply (zenon_L243_); trivial.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.29/11.45 apply (zenon_L59_); trivial.
% 11.29/11.45 apply (zenon_L113_); trivial.
% 11.29/11.45 (* end of lemma zenon_L244_ *)
% 11.29/11.45 assert (zenon_L245_ : (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (e3)) = (e1)) -> False).
% 11.29/11.45 do 0 intro. intros zenon_H30 zenon_H18a zenon_H118.
% 11.29/11.45 cut (((op (e2) (e3)) = (e2)) = ((e1) = (e2))).
% 11.29/11.45 intro zenon_D_pnotp.
% 11.29/11.45 apply zenon_H30.
% 11.29/11.45 rewrite <- zenon_D_pnotp.
% 11.29/11.45 exact zenon_H18a.
% 11.29/11.45 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.29/11.45 cut (((op (e2) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H179].
% 11.29/11.45 congruence.
% 11.29/11.45 exact (zenon_H179 zenon_H118).
% 11.29/11.45 apply zenon_H29. apply refl_equal.
% 11.29/11.45 (* end of lemma zenon_L245_ *)
% 11.29/11.45 assert (zenon_L246_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> False).
% 11.29/11.45 do 0 intro. intros zenon_H11b zenon_H15d zenon_H3c zenon_H57 zenon_H161 zenon_H56 zenon_H157 zenon_H152 zenon_H1a2 zenon_H13a zenon_Hed zenon_Hd0 zenon_H34 zenon_H167 zenon_H41 zenon_Hcb zenon_He2 zenon_He3 zenon_H38 zenon_H44 zenon_Hcc zenon_H27 zenon_H1c1 zenon_H30.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.29/11.45 apply (zenon_L238_); trivial.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.29/11.45 apply (zenon_L239_); trivial.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.29/11.45 apply (zenon_L242_); trivial.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ].
% 11.29/11.45 apply (zenon_L244_); trivial.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ].
% 11.29/11.45 apply (zenon_L164_); trivial.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ].
% 11.29/11.45 exact (zenon_H1c1 zenon_H5a).
% 11.29/11.45 apply (zenon_L245_); trivial.
% 11.29/11.45 (* end of lemma zenon_L246_ *)
% 11.29/11.45 assert (zenon_L247_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> False).
% 11.29/11.45 do 0 intro. intros zenon_H90 zenon_H56 zenon_H14f.
% 11.29/11.45 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H150 | zenon_intro zenon_H11a ].
% 11.29/11.45 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e1)) = (op (e1) (e3)))).
% 11.29/11.45 intro zenon_D_pnotp.
% 11.29/11.45 apply zenon_H14f.
% 11.29/11.45 rewrite <- zenon_D_pnotp.
% 11.29/11.45 exact zenon_H150.
% 11.29/11.45 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a].
% 11.29/11.45 cut (((op (e1) (e3)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H151].
% 11.29/11.45 congruence.
% 11.29/11.45 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e1) (e1)))).
% 11.29/11.45 intro zenon_D_pnotp.
% 11.29/11.45 apply zenon_H151.
% 11.29/11.45 rewrite <- zenon_D_pnotp.
% 11.29/11.45 exact zenon_H90.
% 11.29/11.45 cut (((e1) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1d4].
% 11.29/11.45 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a].
% 11.29/11.45 congruence.
% 11.29/11.45 apply zenon_H11a. apply refl_equal.
% 11.29/11.45 apply zenon_H1d4. apply sym_equal. exact zenon_H56.
% 11.29/11.45 apply zenon_H11a. apply refl_equal.
% 11.29/11.45 apply zenon_H11a. apply refl_equal.
% 11.29/11.45 (* end of lemma zenon_L247_ *)
% 11.29/11.45 assert (zenon_L248_ : (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> False).
% 11.29/11.45 do 0 intro. intros zenon_H141 zenon_H90 zenon_He7.
% 11.29/11.45 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e3) (e3)))).
% 11.29/11.45 intro zenon_D_pnotp.
% 11.29/11.45 apply zenon_H141.
% 11.29/11.45 rewrite <- zenon_D_pnotp.
% 11.29/11.45 exact zenon_H90.
% 11.29/11.45 cut (((e1) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He8].
% 11.29/11.45 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a].
% 11.29/11.45 congruence.
% 11.29/11.45 apply zenon_H11a. apply refl_equal.
% 11.29/11.45 apply zenon_He8. apply sym_equal. exact zenon_He7.
% 11.29/11.45 (* end of lemma zenon_L248_ *)
% 11.29/11.45 assert (zenon_L249_ : (((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 (e3) (e3)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.29/11.45 do 0 intro. intros zenon_H154 zenon_H96 zenon_H117 zenon_He7 zenon_H3f zenon_H61 zenon_Hed zenon_H141.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H7a | zenon_intro zenon_H155 ].
% 11.29/11.45 apply (zenon_L187_); trivial.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H90 | zenon_intro zenon_H156 ].
% 11.29/11.45 apply (zenon_L248_); trivial.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 11.29/11.45 apply (zenon_L22_); trivial.
% 11.29/11.45 apply (zenon_L120_); trivial.
% 11.29/11.45 (* end of lemma zenon_L249_ *)
% 11.29/11.45 assert (zenon_L250_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((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 (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.29/11.45 do 0 intro. intros zenon_H1d5 zenon_H30 zenon_Hd0 zenon_H27 zenon_Hc7 zenon_Hcb zenon_H4f zenon_H49 zenon_H14f zenon_H56 zenon_H20 zenon_H154 zenon_H96 zenon_H117 zenon_H3f zenon_H61 zenon_Hed zenon_H141.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H47 | zenon_intro zenon_H1d6 ].
% 11.29/11.45 apply (zenon_L169_); trivial.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H90 | zenon_intro zenon_H1d7 ].
% 11.29/11.45 apply (zenon_L247_); trivial.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H118 | zenon_intro zenon_He7 ].
% 11.29/11.45 apply (zenon_L166_); trivial.
% 11.29/11.45 apply (zenon_L249_); trivial.
% 11.29/11.45 (* end of lemma zenon_L250_ *)
% 11.29/11.45 assert (zenon_L251_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (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))))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 11.29/11.45 do 0 intro. intros zenon_H1a2 zenon_H41 zenon_H152 zenon_H141 zenon_Hed zenon_H61 zenon_H117 zenon_H96 zenon_H154 zenon_H20 zenon_H56 zenon_H14f zenon_H49 zenon_H4f zenon_Hcb zenon_H27 zenon_Hd0 zenon_H30 zenon_H1d5 zenon_H1c1 zenon_H3f zenon_H16e.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ].
% 11.29/11.45 apply (zenon_L233_); trivial.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ].
% 11.29/11.45 apply (zenon_L250_); trivial.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ].
% 11.29/11.45 exact (zenon_H1c1 zenon_H5a).
% 11.29/11.45 apply (zenon_L213_); trivial.
% 11.29/11.45 (* end of lemma zenon_L251_ *)
% 11.29/11.45 assert (zenon_L252_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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 (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (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))))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 11.29/11.45 do 0 intro. intros zenon_Hfa zenon_H44 zenon_H38 zenon_He3 zenon_He2 zenon_H167 zenon_H34 zenon_H13a zenon_H157 zenon_H161 zenon_H57 zenon_H3c zenon_H15d zenon_H11b zenon_H65 zenon_H1a2 zenon_H41 zenon_H152 zenon_H141 zenon_Hed zenon_H61 zenon_H117 zenon_H154 zenon_H20 zenon_H56 zenon_H14f zenon_H49 zenon_H4f zenon_Hcb zenon_H27 zenon_Hd0 zenon_H30 zenon_H1d5 zenon_H1c1 zenon_H3f zenon_H16e.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.29/11.45 apply (zenon_L237_); trivial.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.29/11.45 apply (zenon_L246_); trivial.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.29/11.45 apply (zenon_L165_); trivial.
% 11.29/11.45 apply (zenon_L251_); trivial.
% 11.29/11.45 (* end of lemma zenon_L252_ *)
% 11.29/11.45 assert (zenon_L253_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.29/11.45 do 0 intro. intros zenon_H106 zenon_H41 zenon_H39 zenon_H68 zenon_Hc5 zenon_H30 zenon_H120 zenon_H27.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.29/11.45 apply (zenon_L65_); trivial.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.29/11.45 exact (zenon_H68 zenon_H6c).
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.29/11.45 apply (zenon_L95_); trivial.
% 11.29/11.45 apply (zenon_L98_); trivial.
% 11.29/11.45 (* end of lemma zenon_L253_ *)
% 11.29/11.45 assert (zenon_L254_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False).
% 11.29/11.45 do 0 intro. intros zenon_H1d8 zenon_H120 zenon_Hf7.
% 11.29/11.45 cut (((op (e3) (e1)) = (e0)) = ((op (e3) (e1)) = (op (e3) (e2)))).
% 11.29/11.45 intro zenon_D_pnotp.
% 11.29/11.45 apply zenon_H1d8.
% 11.29/11.45 rewrite <- zenon_D_pnotp.
% 11.29/11.45 exact zenon_H120.
% 11.29/11.45 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf8].
% 11.29/11.45 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9].
% 11.29/11.45 congruence.
% 11.29/11.45 apply zenon_He9. apply refl_equal.
% 11.29/11.45 apply zenon_Hf8. apply sym_equal. exact zenon_Hf7.
% 11.29/11.45 (* end of lemma zenon_L254_ *)
% 11.29/11.45 assert (zenon_L255_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False).
% 11.29/11.45 do 0 intro. intros zenon_H1d8 zenon_He6 zenon_H1d9.
% 11.29/11.45 cut (((op (e3) (e1)) = (e1)) = ((op (e3) (e1)) = (op (e3) (e2)))).
% 11.29/11.45 intro zenon_D_pnotp.
% 11.29/11.45 apply zenon_H1d8.
% 11.29/11.45 rewrite <- zenon_D_pnotp.
% 11.29/11.45 exact zenon_He6.
% 11.29/11.45 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1da].
% 11.29/11.45 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9].
% 11.29/11.45 congruence.
% 11.29/11.45 apply zenon_He9. apply refl_equal.
% 11.29/11.45 apply zenon_H1da. apply sym_equal. exact zenon_H1d9.
% 11.29/11.45 (* end of lemma zenon_L255_ *)
% 11.29/11.45 assert (zenon_L256_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> False).
% 11.29/11.45 do 0 intro. intros zenon_Hf6 zenon_H9a zenon_Hae.
% 11.29/11.45 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (e0)) = (op (e3) (e2)))).
% 11.29/11.45 intro zenon_D_pnotp.
% 11.29/11.45 apply zenon_Hf6.
% 11.29/11.45 rewrite <- zenon_D_pnotp.
% 11.29/11.45 exact zenon_H9a.
% 11.29/11.45 cut (((e2) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 11.29/11.45 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 11.29/11.45 congruence.
% 11.29/11.45 apply zenon_Hf9. apply refl_equal.
% 11.29/11.45 apply zenon_Haf. apply sym_equal. exact zenon_Hae.
% 11.29/11.45 (* end of lemma zenon_L256_ *)
% 11.29/11.45 assert (zenon_L257_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False).
% 11.29/11.45 do 0 intro. intros zenon_H1db zenon_H120 zenon_He6 zenon_H1d8 zenon_H9a zenon_Hf6 zenon_H89 zenon_H125.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1dc ].
% 11.29/11.45 apply (zenon_L254_); trivial.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1dd ].
% 11.29/11.45 apply (zenon_L255_); trivial.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hae | zenon_intro zenon_Hec ].
% 11.29/11.45 apply (zenon_L256_); trivial.
% 11.29/11.45 apply (zenon_L101_); trivial.
% 11.29/11.45 (* end of lemma zenon_L257_ *)
% 11.29/11.45 assert (zenon_L258_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False).
% 11.29/11.45 do 0 intro. intros zenon_H16a zenon_Hc3 zenon_H120.
% 11.29/11.45 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e1)))).
% 11.29/11.45 intro zenon_D_pnotp.
% 11.29/11.45 apply zenon_H16a.
% 11.29/11.45 rewrite <- zenon_D_pnotp.
% 11.29/11.45 exact zenon_Hc3.
% 11.29/11.45 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1de].
% 11.29/11.45 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 11.29/11.45 congruence.
% 11.29/11.45 apply zenon_Hf9. apply refl_equal.
% 11.29/11.45 apply zenon_H1de. apply sym_equal. exact zenon_H120.
% 11.29/11.45 (* end of lemma zenon_L258_ *)
% 11.29/11.45 assert (zenon_L259_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (op (e3) (e3)))) -> False).
% 11.29/11.45 do 0 intro. intros zenon_H1df zenon_H120 zenon_He6 zenon_H16a zenon_Hae zenon_Hf6 zenon_H15f zenon_H15d.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ].
% 11.29/11.45 apply (zenon_L258_); trivial.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ].
% 11.29/11.45 apply (zenon_L146_); trivial.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ].
% 11.29/11.45 apply (zenon_L256_); trivial.
% 11.29/11.45 apply (zenon_L142_); trivial.
% 11.29/11.45 (* end of lemma zenon_L259_ *)
% 11.29/11.45 assert (zenon_L260_ : (((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)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 11.29/11.45 do 0 intro. intros zenon_Hb0 zenon_H125 zenon_H89 zenon_H1d8 zenon_H1db zenon_H16e zenon_H3f zenon_H1c1 zenon_H1cb zenon_H152 zenon_H41 zenon_H1a2 zenon_H15d zenon_H15f zenon_Hf6 zenon_H16a zenon_He6 zenon_H120 zenon_H1df zenon_Hb1.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.29/11.45 apply (zenon_L257_); trivial.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.29/11.45 apply (zenon_L235_); trivial.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.29/11.45 apply (zenon_L259_); trivial.
% 11.29/11.45 exact (zenon_Hb1 zenon_Hb4).
% 11.29/11.45 (* end of lemma zenon_L260_ *)
% 11.29/11.45 assert (zenon_L261_ : (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e0)) = (e0)) -> False).
% 11.29/11.45 do 0 intro. intros zenon_H1e2 zenon_H25 zenon_Hc3.
% 11.29/11.45 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e3) (e0)))).
% 11.29/11.45 intro zenon_D_pnotp.
% 11.29/11.45 apply zenon_H1e2.
% 11.29/11.45 rewrite <- zenon_D_pnotp.
% 11.29/11.45 exact zenon_H25.
% 11.29/11.45 cut (((e0) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1e3].
% 11.29/11.45 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H188].
% 11.29/11.45 congruence.
% 11.29/11.45 apply zenon_H188. apply refl_equal.
% 11.29/11.45 apply zenon_H1e3. apply sym_equal. exact zenon_Hc3.
% 11.29/11.45 (* end of lemma zenon_L261_ *)
% 11.29/11.45 assert (zenon_L262_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> False).
% 11.29/11.45 do 0 intro. intros zenon_H15d zenon_H99 zenon_He7.
% 11.29/11.45 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (e0)) = (op (e3) (e3)))).
% 11.29/11.45 intro zenon_D_pnotp.
% 11.29/11.45 apply zenon_H15d.
% 11.29/11.45 rewrite <- zenon_D_pnotp.
% 11.29/11.45 exact zenon_H99.
% 11.29/11.45 cut (((e1) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He8].
% 11.29/11.45 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 11.29/11.45 congruence.
% 11.29/11.45 apply zenon_Hf9. apply refl_equal.
% 11.29/11.45 apply zenon_He8. apply sym_equal. exact zenon_He7.
% 11.29/11.45 (* end of lemma zenon_L262_ *)
% 11.29/11.45 assert (zenon_L263_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 11.29/11.45 do 0 intro. intros zenon_Hf0 zenon_H9e zenon_H99 zenon_H15d zenon_Hb1 zenon_Heb zenon_Hec.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.29/11.45 exact (zenon_H9e zenon_H9d).
% 11.29/11.45 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.29/11.45 apply (zenon_L262_); trivial.
% 11.29/11.45 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.29/11.45 exact (zenon_Hb1 zenon_Hb4).
% 11.29/11.45 apply (zenon_L74_); trivial.
% 11.29/11.45 (* end of lemma zenon_L263_ *)
% 11.29/11.45 assert (zenon_L264_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e1)) -> False).
% 11.29/11.45 do 0 intro. intros zenon_H1e4 zenon_He7.
% 11.29/11.45 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1e5].
% 11.29/11.45 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.29/11.46 congruence.
% 11.29/11.46 apply zenon_H36. apply refl_equal.
% 11.29/11.46 exact (zenon_H1e5 zenon_He7).
% 11.29/11.46 (* end of lemma zenon_L264_ *)
% 11.29/11.46 assert (zenon_L265_ : ((op (e3) (e1)) = (e0)) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (op (e3) (op (e3) (e3))))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H120 zenon_He7 zenon_H1e6.
% 11.29/11.46 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ].
% 11.29/11.46 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e0) = (op (e3) (op (e3) (e3))))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H1e6.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_Ha0.
% 11.29/11.46 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 11.29/11.46 cut (((op (e3) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1e7].
% 11.29/11.46 congruence.
% 11.29/11.46 cut (((op (e3) (e1)) = (e0)) = ((op (e3) (op (e3) (e3))) = (e0))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H1e7.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H120.
% 11.29/11.46 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.29/11.46 cut (((op (e3) (e1)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1e8].
% 11.29/11.46 congruence.
% 11.29/11.46 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ].
% 11.29/11.46 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e1)) = (op (e3) (op (e3) (e3))))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H1e8.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_Ha0.
% 11.29/11.46 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 11.29/11.46 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1e4].
% 11.29/11.46 congruence.
% 11.29/11.46 apply (zenon_L264_); trivial.
% 11.29/11.46 apply zenon_Ha1. apply refl_equal.
% 11.29/11.46 apply zenon_Ha1. apply refl_equal.
% 11.29/11.46 apply zenon_H1d. apply refl_equal.
% 11.29/11.46 apply zenon_Ha1. apply refl_equal.
% 11.29/11.46 apply zenon_Ha1. apply refl_equal.
% 11.29/11.46 (* end of lemma zenon_L265_ *)
% 11.29/11.46 assert (zenon_L266_ : ((op (e3) (e1)) = (e0)) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H120 zenon_H9a zenon_He7.
% 11.29/11.46 apply (zenon_notand_s _ _ ax9); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1e9 ].
% 11.29/11.46 apply (zenon_L265_); trivial.
% 11.29/11.46 apply (zenon_notand_s _ _ zenon_H1e9); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He8 ].
% 11.29/11.46 elim (classic ((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3)))))); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha9 ].
% 11.29/11.46 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3))))) = ((e2) = (op (e3) (op (e3) (op (e3) (e3)))))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_Ha7.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_Ha8.
% 11.29/11.46 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3)))))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 11.29/11.46 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 11.29/11.46 congruence.
% 11.29/11.46 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (op (e3) (op (e3) (e3)))) = (e2))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_Haa.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H9a.
% 11.29/11.46 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.29/11.46 cut (((op (e3) (e0)) = (op (e3) (op (e3) (op (e3) (e3)))))); [idtac | apply NNPP; zenon_intro zenon_H1ea].
% 11.29/11.46 congruence.
% 11.29/11.46 elim (classic ((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3)))))); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha9 ].
% 11.29/11.46 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3))))) = ((op (e3) (e0)) = (op (e3) (op (e3) (op (e3) (e3)))))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H1ea.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_Ha8.
% 11.29/11.46 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3)))))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 11.29/11.46 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1eb].
% 11.29/11.46 congruence.
% 11.29/11.46 cut (((op (e3) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1e7].
% 11.29/11.46 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.29/11.46 congruence.
% 11.29/11.46 apply zenon_H36. apply refl_equal.
% 11.29/11.46 cut (((op (e3) (e1)) = (e0)) = ((op (e3) (op (e3) (e3))) = (e0))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H1e7.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H120.
% 11.29/11.46 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.29/11.46 cut (((op (e3) (e1)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1e8].
% 11.29/11.46 congruence.
% 11.29/11.46 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ].
% 11.29/11.46 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e1)) = (op (e3) (op (e3) (e3))))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H1e8.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_Ha0.
% 11.29/11.46 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 11.29/11.46 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1e4].
% 11.29/11.46 congruence.
% 11.29/11.46 apply (zenon_L264_); trivial.
% 11.29/11.46 apply zenon_Ha1. apply refl_equal.
% 11.29/11.46 apply zenon_Ha1. apply refl_equal.
% 11.29/11.46 apply zenon_H1d. apply refl_equal.
% 11.29/11.46 apply zenon_Ha9. apply refl_equal.
% 11.29/11.46 apply zenon_Ha9. apply refl_equal.
% 11.29/11.46 apply zenon_H29. apply refl_equal.
% 11.29/11.46 apply zenon_Ha9. apply refl_equal.
% 11.29/11.46 apply zenon_Ha9. apply refl_equal.
% 11.29/11.46 apply zenon_He8. apply sym_equal. exact zenon_He7.
% 11.29/11.46 (* end of lemma zenon_L266_ *)
% 11.29/11.46 assert (zenon_L267_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_Hf0 zenon_H9e zenon_H9a zenon_H120 zenon_Hb1 zenon_Heb zenon_Hec.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.29/11.46 exact (zenon_H9e zenon_H9d).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.29/11.46 apply (zenon_L266_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.29/11.46 exact (zenon_Hb1 zenon_Hb4).
% 11.29/11.46 apply (zenon_L74_); trivial.
% 11.29/11.46 (* end of lemma zenon_L267_ *)
% 11.29/11.46 assert (zenon_L268_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H16a zenon_H9a zenon_Ha4.
% 11.29/11.46 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (e0)) = (op (e3) (e1)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H16a.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H9a.
% 11.29/11.46 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1cc].
% 11.29/11.46 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 11.29/11.46 congruence.
% 11.29/11.46 apply zenon_Hf9. apply refl_equal.
% 11.29/11.46 apply zenon_H1cc. apply sym_equal. exact zenon_Ha4.
% 11.29/11.46 (* end of lemma zenon_L268_ *)
% 11.29/11.46 assert (zenon_L269_ : ((op (e3) (e2)) = (e3)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_Hec zenon_H15e zenon_Hf6.
% 11.29/11.46 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H102 | zenon_intro zenon_Hef ].
% 11.29/11.46 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (e0)) = (op (e3) (e2)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_Hf6.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H102.
% 11.29/11.46 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 11.29/11.46 cut (((op (e3) (e2)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1ec].
% 11.29/11.46 congruence.
% 11.29/11.46 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e3) (e0)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H1ec.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_Hec.
% 11.29/11.46 cut (((e3) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1ed].
% 11.29/11.46 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 11.29/11.46 congruence.
% 11.29/11.46 apply zenon_Hef. apply refl_equal.
% 11.29/11.46 apply zenon_H1ed. apply sym_equal. exact zenon_H15e.
% 11.29/11.46 apply zenon_Hef. apply refl_equal.
% 11.29/11.46 apply zenon_Hef. apply refl_equal.
% 11.29/11.46 (* end of lemma zenon_L269_ *)
% 11.29/11.46 assert (zenon_L270_ : (((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) (e1)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H1df zenon_H25 zenon_H1e2 zenon_He6 zenon_Ha4 zenon_H16a zenon_Hec zenon_Hf6.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ].
% 11.29/11.46 apply (zenon_L261_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ].
% 11.29/11.46 apply (zenon_L146_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ].
% 11.29/11.46 apply (zenon_L268_); trivial.
% 11.29/11.46 apply (zenon_L269_); trivial.
% 11.29/11.46 (* end of lemma zenon_L270_ *)
% 11.29/11.46 assert (zenon_L271_ : (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H41 zenon_Hec zenon_Hae.
% 11.29/11.46 cut (((op (e3) (e2)) = (e3)) = ((e2) = (e3))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H41.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_Hec.
% 11.29/11.46 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.29/11.46 cut (((op (e3) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1ee].
% 11.29/11.46 congruence.
% 11.29/11.46 exact (zenon_H1ee zenon_Hae).
% 11.29/11.46 apply zenon_H36. apply refl_equal.
% 11.29/11.46 (* end of lemma zenon_L271_ *)
% 11.29/11.46 assert (zenon_L272_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((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))))) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_Hb0 zenon_Heb zenon_H120 zenon_H9e zenon_Hf0 zenon_Hf6 zenon_H16a zenon_He6 zenon_H1e2 zenon_H25 zenon_H1df zenon_Hec zenon_H41 zenon_Hb1.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.29/11.46 apply (zenon_L267_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.29/11.46 apply (zenon_L270_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.29/11.46 apply (zenon_L271_); trivial.
% 11.29/11.46 exact (zenon_Hb1 zenon_Hb4).
% 11.29/11.46 (* end of lemma zenon_L272_ *)
% 11.29/11.46 assert (zenon_L273_ : (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e1)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H3c zenon_Hec zenon_H1d9.
% 11.29/11.46 cut (((op (e3) (e2)) = (e3)) = ((e1) = (e3))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H3c.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_Hec.
% 11.29/11.46 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.29/11.46 cut (((op (e3) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1ef].
% 11.29/11.46 congruence.
% 11.29/11.46 exact (zenon_H1ef zenon_H1d9).
% 11.29/11.46 apply zenon_H36. apply refl_equal.
% 11.29/11.46 (* end of lemma zenon_L273_ *)
% 11.29/11.46 assert (zenon_L274_ : (((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) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H1df zenon_H25 zenon_H1e2 zenon_H15d zenon_He7 zenon_H120 zenon_Hec zenon_Hf6.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ].
% 11.29/11.46 apply (zenon_L261_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ].
% 11.29/11.46 apply (zenon_L262_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ].
% 11.29/11.46 apply (zenon_L266_); trivial.
% 11.29/11.46 apply (zenon_L269_); trivial.
% 11.29/11.46 (* end of lemma zenon_L274_ *)
% 11.29/11.46 assert (zenon_L275_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((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) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H1f0 zenon_Hb1 zenon_H41 zenon_H16a zenon_Hf0 zenon_H9e zenon_Heb zenon_Hb0 zenon_H3c zenon_H1df zenon_H25 zenon_H1e2 zenon_H15d zenon_H120 zenon_Hec zenon_Hf6.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ].
% 11.29/11.46 apply (zenon_L263_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ].
% 11.29/11.46 apply (zenon_L272_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ].
% 11.29/11.46 apply (zenon_L273_); trivial.
% 11.29/11.46 apply (zenon_L274_); trivial.
% 11.29/11.46 (* end of lemma zenon_L275_ *)
% 11.29/11.46 assert (zenon_L276_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_Hb0 zenon_H30 zenon_H9d zenon_H99 zenon_Hec zenon_H41 zenon_Hb1.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.29/11.46 apply (zenon_L41_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.29/11.46 apply (zenon_L45_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.29/11.46 apply (zenon_L271_); trivial.
% 11.29/11.46 exact (zenon_Hb1 zenon_Hb4).
% 11.29/11.46 (* end of lemma zenon_L276_ *)
% 11.29/11.46 assert (zenon_L277_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_Hf0 zenon_H41 zenon_H99 zenon_H30 zenon_Hb0 zenon_H1e5 zenon_Hb1 zenon_Heb zenon_Hec.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.29/11.46 apply (zenon_L276_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.29/11.46 exact (zenon_H1e5 zenon_He7).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.29/11.46 exact (zenon_Hb1 zenon_Hb4).
% 11.29/11.46 apply (zenon_L74_); trivial.
% 11.29/11.46 (* end of lemma zenon_L277_ *)
% 11.29/11.46 assert (zenon_L278_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H1f3 zenon_H56 zenon_He6.
% 11.29/11.46 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e3) (e1)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H1f3.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H56.
% 11.29/11.46 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16b].
% 11.29/11.46 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1bd].
% 11.29/11.46 congruence.
% 11.29/11.46 apply zenon_H1bd. apply refl_equal.
% 11.29/11.46 apply zenon_H16b. apply sym_equal. exact zenon_He6.
% 11.29/11.46 (* end of lemma zenon_L278_ *)
% 11.29/11.46 assert (zenon_L279_ : ((op (e3) (e2)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_Hec zenon_H147 zenon_H1d8.
% 11.29/11.46 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H102 | zenon_intro zenon_Hef ].
% 11.29/11.46 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (e1)) = (op (e3) (e2)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H1d8.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H102.
% 11.29/11.46 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 11.29/11.46 cut (((op (e3) (e2)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1f4].
% 11.29/11.46 congruence.
% 11.29/11.46 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e3) (e1)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H1f4.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_Hec.
% 11.29/11.46 cut (((e3) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1f5].
% 11.29/11.46 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 11.29/11.46 congruence.
% 11.29/11.46 apply zenon_Hef. apply refl_equal.
% 11.29/11.46 apply zenon_H1f5. apply sym_equal. exact zenon_H147.
% 11.29/11.46 apply zenon_Hef. apply refl_equal.
% 11.29/11.46 apply zenon_Hef. apply refl_equal.
% 11.29/11.46 (* end of lemma zenon_L279_ *)
% 11.29/11.46 assert (zenon_L280_ : ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((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)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H1b0 zenon_H122 zenon_H34 zenon_H15d zenon_H16a zenon_Hf6 zenon_H1df zenon_H1e2 zenon_H1f0 zenon_H3c zenon_H1f3 zenon_Hb0 zenon_Hb1 zenon_H41 zenon_H30 zenon_Hf0 zenon_H1d8 zenon_H1c1 zenon_Heb zenon_Hec.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.29/11.46 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52.
% 11.29/11.46 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6.
% 11.29/11.46 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8.
% 11.29/11.46 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ].
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ].
% 11.29/11.46 apply (zenon_L261_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ].
% 11.29/11.46 apply (zenon_L275_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ].
% 11.29/11.46 apply (zenon_L89_); trivial.
% 11.29/11.46 exact (zenon_H9e zenon_H9d).
% 11.29/11.46 apply (zenon_L269_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.29/11.46 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 11.29/11.46 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf.
% 11.29/11.46 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc.
% 11.29/11.46 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ].
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ].
% 11.29/11.46 apply (zenon_L277_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ].
% 11.29/11.46 apply (zenon_L278_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ].
% 11.29/11.46 apply (zenon_L273_); trivial.
% 11.29/11.46 exact (zenon_H1e5 zenon_He7).
% 11.29/11.46 apply (zenon_L279_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.29/11.46 apply (zenon_L225_); trivial.
% 11.29/11.46 apply (zenon_L230_); trivial.
% 11.29/11.46 (* end of lemma zenon_L280_ *)
% 11.29/11.46 assert (zenon_L281_ : ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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)))))))))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H200 zenon_H122 zenon_H34 zenon_Hf0 zenon_Hec zenon_Heb zenon_H15d zenon_Hb0 zenon_H41 zenon_H16a zenon_Hf6 zenon_H1df zenon_H3c zenon_H1f0 zenon_H1e2 zenon_H1f3 zenon_H30 zenon_H1d8 zenon_H1c1 zenon_H1b0.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H201 ].
% 11.29/11.46 apply (zenon_L280_); trivial.
% 11.29/11.46 exact (zenon_H201 zenon_Hec).
% 11.29/11.46 (* end of lemma zenon_L281_ *)
% 11.29/11.46 assert (zenon_L282_ : ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e3) (e1)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H202 zenon_H1b0 zenon_H1d8 zenon_H30 zenon_H1f3 zenon_H1e2 zenon_H1f0 zenon_H3c zenon_H1df zenon_Hf6 zenon_H16a zenon_H41 zenon_Hb0 zenon_H15d zenon_Heb zenon_Hec zenon_Hf0 zenon_H34 zenon_H122 zenon_H200.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c1 ].
% 11.29/11.46 apply (zenon_L281_); trivial.
% 11.29/11.46 apply (zenon_L281_); trivial.
% 11.29/11.46 (* end of lemma zenon_L282_ *)
% 11.29/11.46 assert (zenon_L283_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H44 zenon_H38 zenon_H3c zenon_H1f zenon_H34 zenon_Hd0 zenon_H3f zenon_H41.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.29/11.46 exact (zenon_H38 zenon_H33).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.29/11.46 apply (zenon_L130_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.29/11.46 apply (zenon_L59_); trivial.
% 11.29/11.46 apply (zenon_L11_); trivial.
% 11.29/11.46 (* end of lemma zenon_L283_ *)
% 11.29/11.46 assert (zenon_L284_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H49 zenon_H2b zenon_H30 zenon_H13a zenon_Hed zenon_H44 zenon_H38 zenon_H3c zenon_H1f zenon_H34 zenon_Hd0 zenon_H41.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.29/11.46 exact (zenon_H2b zenon_H26).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.29/11.46 apply (zenon_L211_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.29/11.46 apply (zenon_L212_); trivial.
% 11.29/11.46 apply (zenon_L283_); trivial.
% 11.29/11.46 (* end of lemma zenon_L284_ *)
% 11.29/11.46 assert (zenon_L285_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H44 zenon_H38 zenon_H41 zenon_H2c zenon_H34 zenon_Hd0 zenon_H47 zenon_H3c.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.29/11.46 exact (zenon_H38 zenon_H33).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.29/11.46 apply (zenon_L65_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.29/11.46 apply (zenon_L59_); trivial.
% 11.29/11.46 apply (zenon_L14_); trivial.
% 11.29/11.46 (* end of lemma zenon_L285_ *)
% 11.29/11.46 assert (zenon_L286_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((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)) = (e1)) -> (~((e1) = (e2))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H49 zenon_H2b zenon_H3c zenon_H34 zenon_H41 zenon_H38 zenon_H44 zenon_H27 zenon_Hd0 zenon_H47 zenon_H30.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.29/11.46 exact (zenon_H2b zenon_H26).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.29/11.46 apply (zenon_L285_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.29/11.46 apply (zenon_L57_); trivial.
% 11.29/11.46 apply (zenon_L15_); trivial.
% 11.29/11.46 (* end of lemma zenon_L286_ *)
% 11.29/11.46 assert (zenon_L287_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e2) (e2)) = (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 (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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 (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H4c zenon_H10e zenon_H200 zenon_H122 zenon_Hf0 zenon_Heb zenon_Hb0 zenon_H16a zenon_Hf6 zenon_H1df zenon_H1f0 zenon_H1e2 zenon_H1f3 zenon_H1d8 zenon_H1b0 zenon_H202 zenon_He2 zenon_H125 zenon_H1db zenon_H16e zenon_H1c1 zenon_H1cb zenon_H1a2 zenon_Hb1 zenon_Hf3 zenon_H106 zenon_H68 zenon_Hfa zenon_He3 zenon_H167 zenon_H157 zenon_H161 zenon_H57 zenon_H11b zenon_H65 zenon_H141 zenon_H61 zenon_H117 zenon_H154 zenon_H14f zenon_Hcb zenon_H1d5 zenon_H105 zenon_H1ca zenon_H203 zenon_H15f zenon_H15d zenon_Hed zenon_H13a zenon_H20 zenon_H49 zenon_H2b zenon_H3c zenon_H34 zenon_H41 zenon_H38 zenon_H44 zenon_H27 zenon_Hd0 zenon_H30.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.29/11.46 exact (zenon_H2b zenon_H26).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.29/11.46 apply (zenon_L228_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.29/11.46 apply (zenon_L57_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.29/11.46 exact (zenon_H38 zenon_H33).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.29/11.46 exact (zenon_H38 zenon_H33).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.29/11.46 apply (zenon_L231_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.29/11.46 apply (zenon_L8_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.29/11.46 apply (zenon_L232_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.29/11.46 apply (zenon_L236_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.29/11.46 apply (zenon_L130_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.29/11.46 apply (zenon_L252_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.29/11.46 apply (zenon_L253_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.29/11.46 apply (zenon_L59_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.29/11.46 apply (zenon_L260_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.29/11.46 exact (zenon_He2 zenon_He1).
% 11.29/11.46 apply (zenon_L282_); trivial.
% 11.29/11.46 apply (zenon_L142_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.29/11.46 apply (zenon_L59_); trivial.
% 11.29/11.46 apply (zenon_L113_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.29/11.46 apply (zenon_L284_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.29/11.46 apply (zenon_L61_); trivial.
% 11.29/11.46 apply (zenon_L286_); trivial.
% 11.29/11.46 (* end of lemma zenon_L287_ *)
% 11.29/11.46 assert (zenon_L288_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e3)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H203 zenon_H34 zenon_H57 zenon_H1ca zenon_H16e zenon_H3f zenon_H1c1 zenon_H1cb zenon_H152 zenon_H41 zenon_H1a2 zenon_H27 zenon_H68 zenon_H39 zenon_H106 zenon_H16a zenon_Hc3.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.29/11.46 apply (zenon_L8_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.29/11.46 apply (zenon_L232_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.29/11.46 apply (zenon_L236_); trivial.
% 11.29/11.46 apply (zenon_L258_); trivial.
% 11.29/11.46 (* end of lemma zenon_L288_ *)
% 11.29/11.46 assert (zenon_L289_ : (~((op (e1) (op (e1) (e1))) = (op (e1) (e0)))) -> ((op (e1) (e1)) = (e0)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H206 zenon_H10c.
% 11.29/11.46 cut (((op (e1) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H207].
% 11.29/11.46 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.29/11.46 congruence.
% 11.29/11.46 apply zenon_H22. apply refl_equal.
% 11.29/11.46 exact (zenon_H207 zenon_H10c).
% 11.29/11.46 (* end of lemma zenon_L289_ *)
% 11.29/11.46 assert (zenon_L290_ : ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (~((e2) = (op (e1) (op (e1) (e1))))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H58 zenon_H10c zenon_H208.
% 11.29/11.46 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ].
% 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e2) = (op (e1) (op (e1) (e1))))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H208.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H7c.
% 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7d].
% 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H209].
% 11.29/11.46 congruence.
% 11.29/11.46 cut (((op (e1) (e0)) = (e2)) = ((op (e1) (op (e1) (e1))) = (e2))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H209.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H58.
% 11.29/11.46 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.29/11.46 cut (((op (e1) (e0)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H20a].
% 11.29/11.46 congruence.
% 11.29/11.46 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ].
% 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e0)) = (op (e1) (op (e1) (e1))))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H20a.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H7c.
% 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7d].
% 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 11.29/11.46 congruence.
% 11.29/11.46 apply (zenon_L289_); trivial.
% 11.29/11.46 apply zenon_H7d. apply refl_equal.
% 11.29/11.46 apply zenon_H7d. apply refl_equal.
% 11.29/11.46 apply zenon_H29. apply refl_equal.
% 11.29/11.46 apply zenon_H7d. apply refl_equal.
% 11.29/11.46 apply zenon_H7d. apply refl_equal.
% 11.29/11.46 (* end of lemma zenon_L290_ *)
% 11.29/11.46 assert (zenon_L291_ : ((op (e1) (e0)) = (e2)) -> ((op (e1) (e2)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H58 zenon_H89 zenon_H10c.
% 11.29/11.46 apply (zenon_notand_s _ _ ax23); [ zenon_intro zenon_H208 | zenon_intro zenon_H20b ].
% 11.29/11.46 apply (zenon_L290_); trivial.
% 11.29/11.46 apply (zenon_notand_s _ _ zenon_H20b); [ zenon_intro zenon_H20c | zenon_intro zenon_H10d ].
% 11.29/11.46 elim (classic ((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1)))))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ].
% 11.29/11.46 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1))))) = ((e3) = (op (e1) (op (e1) (op (e1) (e1)))))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H20c.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H83.
% 11.29/11.46 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1)))))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 11.29/11.46 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H20d].
% 11.29/11.46 congruence.
% 11.29/11.46 cut (((op (e1) (e2)) = (e3)) = ((op (e1) (op (e1) (op (e1) (e1)))) = (e3))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H20d.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H89.
% 11.29/11.46 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.29/11.46 cut (((op (e1) (e2)) = (op (e1) (op (e1) (op (e1) (e1)))))); [idtac | apply NNPP; zenon_intro zenon_H20e].
% 11.29/11.46 congruence.
% 11.29/11.46 elim (classic ((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1)))))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ].
% 11.29/11.46 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1))))) = ((op (e1) (e2)) = (op (e1) (op (e1) (op (e1) (e1)))))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H20e.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H83.
% 11.29/11.46 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1)))))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 11.29/11.46 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H20f].
% 11.29/11.46 congruence.
% 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H209].
% 11.29/11.46 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.29/11.46 congruence.
% 11.29/11.46 apply zenon_H22. apply refl_equal.
% 11.29/11.46 cut (((op (e1) (e0)) = (e2)) = ((op (e1) (op (e1) (e1))) = (e2))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H209.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H58.
% 11.29/11.46 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.29/11.46 cut (((op (e1) (e0)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H20a].
% 11.29/11.46 congruence.
% 11.29/11.46 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ].
% 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e0)) = (op (e1) (op (e1) (e1))))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H20a.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H7c.
% 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7d].
% 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 11.29/11.46 congruence.
% 11.29/11.46 apply (zenon_L289_); trivial.
% 11.29/11.46 apply zenon_H7d. apply refl_equal.
% 11.29/11.46 apply zenon_H7d. apply refl_equal.
% 11.29/11.46 apply zenon_H29. apply refl_equal.
% 11.29/11.46 apply zenon_H84. apply refl_equal.
% 11.29/11.46 apply zenon_H84. apply refl_equal.
% 11.29/11.46 apply zenon_H36. apply refl_equal.
% 11.29/11.46 apply zenon_H84. apply refl_equal.
% 11.29/11.46 apply zenon_H84. apply refl_equal.
% 11.29/11.46 apply zenon_H10d. apply sym_equal. exact zenon_H10c.
% 11.29/11.46 (* end of lemma zenon_L291_ *)
% 11.29/11.46 assert (zenon_L292_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H8d zenon_H41 zenon_H79 zenon_H10c zenon_H58 zenon_Hed zenon_H141.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.29/11.46 apply (zenon_L31_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.29/11.46 exact (zenon_H79 zenon_H78).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.29/11.46 apply (zenon_L291_); trivial.
% 11.29/11.46 apply (zenon_L120_); trivial.
% 11.29/11.46 (* end of lemma zenon_L292_ *)
% 11.29/11.46 assert (zenon_L293_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H13f zenon_Hd0 zenon_He0.
% 11.29/11.46 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e1) (e2)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H13f.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_Hd0.
% 11.29/11.46 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10f].
% 11.29/11.46 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H140].
% 11.29/11.46 congruence.
% 11.29/11.46 apply zenon_H140. apply refl_equal.
% 11.29/11.46 apply zenon_H10f. apply sym_equal. exact zenon_He0.
% 11.29/11.46 (* end of lemma zenon_L293_ *)
% 11.29/11.46 assert (zenon_L294_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H4c zenon_Hc3 zenon_He3 zenon_He2 zenon_Hcb zenon_H167 zenon_H15d zenon_H113 zenon_H1ca zenon_H141 zenon_H79 zenon_H8d zenon_H13f zenon_H203 zenon_H14f zenon_H16e zenon_H1c1 zenon_H1cb zenon_H1a2 zenon_H68 zenon_H106 zenon_H16a zenon_H161 zenon_Hb8 zenon_H38 zenon_Hed zenon_H13a zenon_H20 zenon_H49 zenon_H2b zenon_H3c zenon_H34 zenon_H41 zenon_H44 zenon_H27 zenon_Hd0 zenon_H30.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.29/11.46 exact (zenon_H2b zenon_H26).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.29/11.46 apply (zenon_L228_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.29/11.46 apply (zenon_L57_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.29/11.46 exact (zenon_H2b zenon_H26).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.29/11.46 exact (zenon_H38 zenon_H33).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.29/11.46 exact (zenon_H38 zenon_H33).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.29/11.46 apply (zenon_L31_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.29/11.46 apply (zenon_L288_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.29/11.46 apply (zenon_L292_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.29/11.46 apply (zenon_L293_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.29/11.46 apply (zenon_L8_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.29/11.46 apply (zenon_L135_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.29/11.46 apply (zenon_L236_); trivial.
% 11.29/11.46 apply (zenon_L258_); trivial.
% 11.29/11.46 apply (zenon_L141_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.29/11.46 apply (zenon_L59_); trivial.
% 11.29/11.46 apply (zenon_L11_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.29/11.46 apply (zenon_L244_); trivial.
% 11.29/11.46 apply (zenon_L51_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.29/11.46 apply (zenon_L284_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.29/11.46 apply (zenon_L61_); trivial.
% 11.29/11.46 apply (zenon_L67_); trivial.
% 11.29/11.46 (* end of lemma zenon_L294_ *)
% 11.29/11.46 assert (zenon_L295_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H4c zenon_H16e zenon_H18a zenon_Hed zenon_H13a zenon_H20 zenon_H49 zenon_H2b zenon_H3c zenon_H34 zenon_H41 zenon_H38 zenon_H44 zenon_H27 zenon_Hd0 zenon_H30.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.29/11.46 exact (zenon_H2b zenon_H26).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.29/11.46 apply (zenon_L228_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.29/11.46 apply (zenon_L57_); trivial.
% 11.29/11.46 apply (zenon_L213_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.29/11.46 apply (zenon_L284_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.29/11.46 apply (zenon_L61_); trivial.
% 11.29/11.46 apply (zenon_L286_); trivial.
% 11.29/11.46 (* end of lemma zenon_L295_ *)
% 11.29/11.46 assert (zenon_L296_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((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)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_Hf3 zenon_Hd0 zenon_H10c zenon_H58 zenon_He2 zenon_H1b0 zenon_H122 zenon_H34 zenon_H15d zenon_H16a zenon_Hf6 zenon_H1df zenon_H1e2 zenon_H1f0 zenon_H3c zenon_H1f3 zenon_Hb0 zenon_Hb1 zenon_H41 zenon_H30 zenon_Hf0 zenon_H1d8 zenon_H1c1 zenon_Heb.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.29/11.46 apply (zenon_L59_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.29/11.46 apply (zenon_L291_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.29/11.46 exact (zenon_He2 zenon_He1).
% 11.29/11.46 apply (zenon_L280_); trivial.
% 11.29/11.46 (* end of lemma zenon_L296_ *)
% 11.29/11.46 assert (zenon_L297_ : (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H210 zenon_Hd0 zenon_H72.
% 11.29/11.46 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e0) (e3)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H210.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_Hd0.
% 11.29/11.46 cut (((e0) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H73].
% 11.29/11.46 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H140].
% 11.29/11.46 congruence.
% 11.29/11.46 apply zenon_H140. apply refl_equal.
% 11.29/11.46 apply zenon_H73. apply sym_equal. exact zenon_H72.
% 11.29/11.46 (* end of lemma zenon_L297_ *)
% 11.29/11.46 assert (zenon_L298_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H187 zenon_H25 zenon_H57.
% 11.29/11.46 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e1) (e0)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H187.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H25.
% 11.29/11.46 cut (((e0) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H211].
% 11.29/11.46 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H188].
% 11.29/11.46 congruence.
% 11.29/11.46 apply zenon_H188. apply refl_equal.
% 11.29/11.46 apply zenon_H211. apply sym_equal. exact zenon_H57.
% 11.29/11.46 (* end of lemma zenon_L298_ *)
% 11.29/11.46 assert (zenon_L299_ : ((op (e3) (e0)) = (e3)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H15e zenon_H75 zenon_H212.
% 11.29/11.46 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_H213 | zenon_intro zenon_Hf9 ].
% 11.29/11.46 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e1) (e0)) = (op (e3) (e0)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H212.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H213.
% 11.29/11.46 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 11.29/11.46 cut (((op (e3) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H214].
% 11.29/11.46 congruence.
% 11.29/11.46 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e1) (e0)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H214.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H15e.
% 11.29/11.46 cut (((e3) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H215].
% 11.29/11.46 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 11.29/11.46 congruence.
% 11.29/11.46 apply zenon_Hf9. apply refl_equal.
% 11.29/11.46 apply zenon_H215. apply sym_equal. exact zenon_H75.
% 11.29/11.46 apply zenon_Hf9. apply refl_equal.
% 11.29/11.46 apply zenon_Hf9. apply refl_equal.
% 11.29/11.46 (* end of lemma zenon_L299_ *)
% 11.29/11.46 assert (zenon_L300_ : (((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) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H8d zenon_H212 zenon_H15e zenon_H58 zenon_H3c zenon_H88 zenon_H7a zenon_H34.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.29/11.46 apply (zenon_L299_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.29/11.46 apply (zenon_L34_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.29/11.46 apply (zenon_L35_); trivial.
% 11.29/11.46 apply (zenon_L36_); trivial.
% 11.29/11.46 (* end of lemma zenon_L300_ *)
% 11.29/11.46 assert (zenon_L301_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (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 (e1) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e3))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H113 zenon_H25 zenon_H187 zenon_H207 zenon_H20 zenon_H8d zenon_H212 zenon_H15e zenon_H58 zenon_H3c zenon_H88 zenon_H34.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.29/11.46 apply (zenon_L298_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.29/11.46 exact (zenon_H207 zenon_H10c).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.29/11.46 apply (zenon_L92_); trivial.
% 11.29/11.46 apply (zenon_L300_); trivial.
% 11.29/11.46 (* end of lemma zenon_L301_ *)
% 11.29/11.46 assert (zenon_L302_ : (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e0)) = (e2)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H41 zenon_H15e zenon_H9a.
% 11.29/11.46 cut (((op (e3) (e0)) = (e3)) = ((e2) = (e3))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H41.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H15e.
% 11.29/11.46 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.29/11.46 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 11.29/11.46 congruence.
% 11.29/11.46 exact (zenon_H9b zenon_H9a).
% 11.29/11.46 apply zenon_H36. apply refl_equal.
% 11.29/11.46 (* end of lemma zenon_L302_ *)
% 11.29/11.46 assert (zenon_L303_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_Hb8 zenon_H27 zenon_H34 zenon_H88 zenon_H3c zenon_H212 zenon_H8d zenon_H20 zenon_H207 zenon_H187 zenon_H25 zenon_H113 zenon_H6f zenon_H30 zenon_H41 zenon_H15e.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.29/11.46 apply (zenon_L3_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.29/11.46 apply (zenon_L301_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.29/11.46 apply (zenon_L108_); trivial.
% 11.29/11.46 apply (zenon_L302_); trivial.
% 11.29/11.46 (* end of lemma zenon_L303_ *)
% 11.29/11.46 assert (zenon_L304_ : ((op (e1) (e2)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H88 zenon_H56 zenon_H216.
% 11.29/11.46 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H129 | zenon_intro zenon_H12a ].
% 11.29/11.46 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e1) (e1)) = (op (e1) (e2)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H216.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H129.
% 11.29/11.46 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H12a].
% 11.29/11.46 cut (((op (e1) (e2)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H217].
% 11.29/11.46 congruence.
% 11.29/11.46 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e1) (e1)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H217.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H88.
% 11.29/11.46 cut (((e1) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1d4].
% 11.29/11.46 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H12a].
% 11.29/11.46 congruence.
% 11.29/11.46 apply zenon_H12a. apply refl_equal.
% 11.29/11.46 apply zenon_H1d4. apply sym_equal. exact zenon_H56.
% 11.29/11.46 apply zenon_H12a. apply refl_equal.
% 11.29/11.46 apply zenon_H12a. apply refl_equal.
% 11.29/11.46 (* end of lemma zenon_L304_ *)
% 11.29/11.46 assert (zenon_L305_ : (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e1) (e1)) = (e3)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H1ca zenon_H75 zenon_H78.
% 11.29/11.46 cut (((op (e1) (e0)) = (e3)) = ((op (e1) (e0)) = (op (e1) (e1)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H1ca.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H75.
% 11.29/11.46 cut (((e3) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 11.29/11.46 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 11.29/11.46 congruence.
% 11.29/11.46 apply zenon_H110. apply refl_equal.
% 11.29/11.46 apply zenon_H81. apply sym_equal. exact zenon_H78.
% 11.29/11.46 (* end of lemma zenon_L305_ *)
% 11.29/11.46 assert (zenon_L306_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H15a zenon_H207 zenon_H216 zenon_H88 zenon_H68 zenon_H1ca zenon_H75.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ].
% 11.29/11.46 exact (zenon_H207 zenon_H10c).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ].
% 11.29/11.46 apply (zenon_L304_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ].
% 11.29/11.46 exact (zenon_H68 zenon_H6c).
% 11.29/11.46 apply (zenon_L305_); trivial.
% 11.29/11.46 (* end of lemma zenon_L306_ *)
% 11.29/11.46 assert (zenon_L307_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H161 zenon_H34 zenon_H25 zenon_H1ca zenon_H68 zenon_H88 zenon_H216 zenon_H207 zenon_H15a zenon_H3c zenon_H6f zenon_H41 zenon_H9a.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.29/11.46 apply (zenon_L7_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.29/11.46 apply (zenon_L306_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.29/11.46 apply (zenon_L136_); trivial.
% 11.29/11.46 apply (zenon_L302_); trivial.
% 11.29/11.46 (* end of lemma zenon_L307_ *)
% 11.29/11.46 assert (zenon_L308_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H113 zenon_H187 zenon_H20 zenon_H8d zenon_H212 zenon_H27 zenon_Hb8 zenon_H30 zenon_H161 zenon_H34 zenon_H25 zenon_H1ca zenon_H68 zenon_H88 zenon_H216 zenon_H207 zenon_H15a zenon_H3c zenon_H6f zenon_H41.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.29/11.46 apply (zenon_L3_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.29/11.46 apply (zenon_L7_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.29/11.46 apply (zenon_L31_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.29/11.46 apply (zenon_L136_); trivial.
% 11.29/11.46 apply (zenon_L303_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.29/11.46 apply (zenon_L108_); trivial.
% 11.29/11.46 apply (zenon_L307_); trivial.
% 11.29/11.46 (* end of lemma zenon_L308_ *)
% 11.29/11.46 assert (zenon_L309_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H15a zenon_H207 zenon_Hc5 zenon_H157 zenon_H68 zenon_H1ca zenon_H75.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ].
% 11.29/11.46 exact (zenon_H207 zenon_H10c).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ].
% 11.29/11.46 apply (zenon_L239_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ].
% 11.29/11.46 exact (zenon_H68 zenon_H6c).
% 11.29/11.46 apply (zenon_L305_); trivial.
% 11.29/11.46 (* end of lemma zenon_L309_ *)
% 11.29/11.46 assert (zenon_L310_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H8d zenon_H1ca zenon_H68 zenon_H157 zenon_Hc5 zenon_H207 zenon_H15a zenon_H58 zenon_H3c zenon_H88 zenon_H7a zenon_H34.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.29/11.46 apply (zenon_L309_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.29/11.46 apply (zenon_L34_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.29/11.46 apply (zenon_L35_); trivial.
% 11.29/11.46 apply (zenon_L36_); trivial.
% 11.29/11.46 (* end of lemma zenon_L310_ *)
% 11.29/11.46 assert (zenon_L311_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H105 zenon_H30 zenon_H2c zenon_H216 zenon_H34 zenon_H7a zenon_H88 zenon_H3c zenon_H58 zenon_H15a zenon_H207 zenon_H157 zenon_H68 zenon_H1ca zenon_H8d zenon_H16a zenon_H99.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.29/11.46 apply (zenon_L211_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.29/11.46 apply (zenon_L304_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.29/11.46 apply (zenon_L310_); trivial.
% 11.29/11.46 apply (zenon_L146_); trivial.
% 11.29/11.46 (* end of lemma zenon_L311_ *)
% 11.29/11.46 assert (zenon_L312_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H105 zenon_H30 zenon_H2c zenon_H216 zenon_H88 zenon_H75 zenon_H1ca zenon_H68 zenon_H157 zenon_H207 zenon_H15a zenon_H16a zenon_H99.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.29/11.46 apply (zenon_L211_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.29/11.46 apply (zenon_L304_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.29/11.46 apply (zenon_L309_); trivial.
% 11.29/11.46 apply (zenon_L146_); trivial.
% 11.29/11.46 (* end of lemma zenon_L312_ *)
% 11.29/11.46 assert (zenon_L313_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_Hb7 zenon_H20 zenon_H25 zenon_H10e zenon_H88 zenon_Hb5 zenon_H30 zenon_H3c zenon_H15e.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.29/11.46 apply (zenon_L129_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.29/11.46 apply (zenon_L106_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.29/11.46 apply (zenon_L108_); trivial.
% 11.29/11.46 apply (zenon_L196_); trivial.
% 11.29/11.46 (* end of lemma zenon_L313_ *)
% 11.29/11.46 assert (zenon_L314_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H161 zenon_H34 zenon_H99 zenon_H16a zenon_H15a zenon_H207 zenon_H157 zenon_H68 zenon_H1ca zenon_H216 zenon_H2c zenon_H105 zenon_H41 zenon_Hb7 zenon_H20 zenon_H25 zenon_H10e zenon_H88 zenon_Hb5 zenon_H30 zenon_H3c.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.29/11.46 apply (zenon_L7_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.29/11.46 apply (zenon_L312_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.29/11.46 apply (zenon_L233_); trivial.
% 11.29/11.46 apply (zenon_L313_); trivial.
% 11.29/11.46 (* end of lemma zenon_L314_ *)
% 11.29/11.46 assert (zenon_L315_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_Hb8 zenon_H27 zenon_H8d zenon_H187 zenon_H113 zenon_H3c zenon_H88 zenon_H10e zenon_H25 zenon_H20 zenon_Hb7 zenon_H41 zenon_H105 zenon_H2c zenon_H216 zenon_H1ca zenon_H68 zenon_H157 zenon_H207 zenon_H15a zenon_H16a zenon_H34 zenon_H161 zenon_H99 zenon_H30.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.29/11.46 apply (zenon_L3_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.29/11.46 apply (zenon_L298_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.29/11.46 exact (zenon_H207 zenon_H10c).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.29/11.46 apply (zenon_L92_); trivial.
% 11.29/11.46 apply (zenon_L311_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.29/11.46 apply (zenon_L314_); trivial.
% 11.29/11.46 apply (zenon_L41_); trivial.
% 11.29/11.46 (* end of lemma zenon_L315_ *)
% 11.29/11.46 assert (zenon_L316_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H13f zenon_H2f zenon_H5b.
% 11.29/11.46 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e1) (e2)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H13f.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H2f.
% 11.29/11.46 cut (((e2) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 11.29/11.46 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H140].
% 11.29/11.46 congruence.
% 11.29/11.46 apply zenon_H140. apply refl_equal.
% 11.29/11.46 apply zenon_H60. apply sym_equal. exact zenon_H5b.
% 11.29/11.46 (* end of lemma zenon_L316_ *)
% 11.29/11.46 assert (zenon_L317_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H69 zenon_H41 zenon_H75 zenon_H68 zenon_H2f zenon_H13f zenon_H7a zenon_H27.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.29/11.46 apply (zenon_L31_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.29/11.46 exact (zenon_H68 zenon_H6c).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.29/11.46 apply (zenon_L316_); trivial.
% 11.29/11.46 apply (zenon_L103_); trivial.
% 11.29/11.46 (* end of lemma zenon_L317_ *)
% 11.29/11.46 assert (zenon_L318_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H113 zenon_H34 zenon_H207 zenon_H88 zenon_H20 zenon_H69 zenon_H41 zenon_H75 zenon_H68 zenon_H2f zenon_H13f zenon_H27.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.29/11.46 apply (zenon_L118_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.29/11.46 exact (zenon_H207 zenon_H10c).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.29/11.46 apply (zenon_L92_); trivial.
% 11.29/11.46 apply (zenon_L317_); trivial.
% 11.29/11.46 (* end of lemma zenon_L318_ *)
% 11.29/11.46 assert (zenon_L319_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H161 zenon_H25 zenon_H27 zenon_H13f zenon_H2f zenon_H68 zenon_H69 zenon_H20 zenon_H88 zenon_H207 zenon_H34 zenon_H113 zenon_H41 zenon_Hb5 zenon_H3c zenon_H99.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.29/11.46 apply (zenon_L7_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.29/11.46 apply (zenon_L318_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.29/11.46 apply (zenon_L233_); trivial.
% 11.29/11.46 apply (zenon_L196_); trivial.
% 11.29/11.46 (* end of lemma zenon_L319_ *)
% 11.29/11.46 assert (zenon_L320_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H113 zenon_H25 zenon_H187 zenon_H20 zenon_H105 zenon_H39 zenon_H216 zenon_H34 zenon_H88 zenon_H3c zenon_H58 zenon_H15a zenon_H207 zenon_H157 zenon_H68 zenon_H1ca zenon_H8d zenon_H16a zenon_H99.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.29/11.46 apply (zenon_L298_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.29/11.46 exact (zenon_H207 zenon_H10c).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.29/11.46 apply (zenon_L92_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.29/11.46 apply (zenon_L130_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.29/11.46 apply (zenon_L304_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.29/11.46 apply (zenon_L310_); trivial.
% 11.29/11.46 apply (zenon_L146_); trivial.
% 11.29/11.46 (* end of lemma zenon_L320_ *)
% 11.29/11.46 assert (zenon_L321_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H8d zenon_H41 zenon_H58 zenon_H3b zenon_H13f zenon_H7a zenon_H34.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.29/11.46 apply (zenon_L31_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.29/11.46 apply (zenon_L34_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.29/11.46 apply (zenon_L119_); trivial.
% 11.29/11.46 apply (zenon_L36_); trivial.
% 11.29/11.46 (* end of lemma zenon_L321_ *)
% 11.29/11.46 assert (zenon_L322_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H161 zenon_H34 zenon_H25 zenon_H1ca zenon_H68 zenon_H88 zenon_H216 zenon_H207 zenon_H15a zenon_H41 zenon_Hb5 zenon_H3c zenon_H99.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.29/11.46 apply (zenon_L7_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.29/11.46 apply (zenon_L306_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.29/11.46 apply (zenon_L233_); trivial.
% 11.29/11.46 apply (zenon_L196_); trivial.
% 11.29/11.46 (* end of lemma zenon_L322_ *)
% 11.29/11.46 assert (zenon_L323_ : (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((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 (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H51 zenon_H20 zenon_H10e zenon_H88 zenon_H15a zenon_H1ca zenon_H68 zenon_H216 zenon_H34 zenon_H41 zenon_H3c zenon_Hb8 zenon_H30 zenon_H187 zenon_H8d zenon_H212 zenon_H113 zenon_H161 zenon_H27 zenon_H49 zenon_H44 zenon_H69 zenon_H13f zenon_H157 zenon_H16a zenon_H105 zenon_Hb7.
% 11.29/11.46 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52.
% 11.29/11.46 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6.
% 11.29/11.46 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H207 | zenon_intro zenon_H6d ].
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.29/11.46 apply (zenon_L129_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.29/11.46 apply (zenon_L106_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.29/11.46 apply (zenon_L308_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.29/11.46 apply (zenon_L3_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.29/11.46 apply (zenon_L315_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.29/11.46 apply (zenon_L3_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.29/11.46 apply (zenon_L298_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.29/11.46 exact (zenon_H207 zenon_H10c).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.29/11.46 apply (zenon_L92_); trivial.
% 11.29/11.46 apply (zenon_L37_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.29/11.46 apply (zenon_L319_); trivial.
% 11.29/11.46 apply (zenon_L41_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.29/11.46 apply (zenon_L3_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.29/11.46 apply (zenon_L7_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.29/11.46 apply (zenon_L320_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.29/11.46 apply (zenon_L298_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.29/11.46 exact (zenon_H207 zenon_H10c).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.29/11.46 apply (zenon_L92_); trivial.
% 11.29/11.46 apply (zenon_L321_); trivial.
% 11.29/11.46 apply (zenon_L11_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.29/11.46 apply (zenon_L322_); trivial.
% 11.29/11.46 apply (zenon_L41_); trivial.
% 11.29/11.46 apply (zenon_L106_); trivial.
% 11.29/11.46 (* end of lemma zenon_L323_ *)
% 11.29/11.46 assert (zenon_L324_ : (((op (e1) (e1)) = (e1))/\(((~((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 (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H53 zenon_H88 zenon_H216.
% 11.29/11.46 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 11.29/11.46 apply (zenon_L304_); trivial.
% 11.29/11.46 (* end of lemma zenon_L324_ *)
% 11.29/11.46 assert (zenon_L325_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H8d zenon_H6d zenon_H79 zenon_H3c zenon_H88 zenon_Hed zenon_H141.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.29/11.46 apply (zenon_L123_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.29/11.46 exact (zenon_H79 zenon_H78).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.29/11.46 apply (zenon_L35_); trivial.
% 11.29/11.46 apply (zenon_L120_); trivial.
% 11.29/11.46 (* end of lemma zenon_L325_ *)
% 11.29/11.46 assert (zenon_L326_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H15a zenon_H57 zenon_H1ca zenon_H10b zenon_H1f zenon_H68 zenon_H79.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ].
% 11.29/11.46 apply (zenon_L232_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ].
% 11.29/11.46 apply (zenon_L223_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ].
% 11.29/11.46 exact (zenon_H68 zenon_H6c).
% 11.29/11.46 exact (zenon_H79 zenon_H78).
% 11.29/11.46 (* end of lemma zenon_L326_ *)
% 11.29/11.46 assert (zenon_L327_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H15a zenon_H14f zenon_H7a zenon_H10b zenon_H1f zenon_H68 zenon_H79.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ].
% 11.29/11.46 apply (zenon_L135_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ].
% 11.29/11.46 apply (zenon_L223_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ].
% 11.29/11.46 exact (zenon_H68 zenon_H6c).
% 11.29/11.46 exact (zenon_H79 zenon_H78).
% 11.29/11.46 (* end of lemma zenon_L327_ *)
% 11.29/11.46 assert (zenon_L328_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e1) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H113 zenon_H1ca zenon_H141 zenon_Hed zenon_H58 zenon_H41 zenon_H8d zenon_H88 zenon_H20 zenon_H15a zenon_H14f zenon_H10b zenon_H1f zenon_H68 zenon_H79.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.29/11.46 apply (zenon_L326_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.29/11.46 apply (zenon_L292_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.29/11.46 apply (zenon_L92_); trivial.
% 11.29/11.46 apply (zenon_L327_); trivial.
% 11.29/11.46 (* end of lemma zenon_L328_ *)
% 11.29/11.46 assert (zenon_L329_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((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)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_Hb8 zenon_H27 zenon_H25 zenon_H79 zenon_H10b zenon_H14f zenon_H15a zenon_H20 zenon_H88 zenon_H8d zenon_H141 zenon_H1ca zenon_H113 zenon_H106 zenon_H30 zenon_H1f zenon_H68 zenon_He3 zenon_Hed zenon_He2 zenon_H41 zenon_H6f zenon_H3c zenon_H167 zenon_H16a.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.29/11.46 apply (zenon_L3_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.29/11.46 apply (zenon_L328_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.29/11.46 apply (zenon_L108_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.29/11.46 apply (zenon_L211_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.29/11.46 exact (zenon_H68 zenon_H6c).
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.29/11.46 apply (zenon_L145_); trivial.
% 11.29/11.46 apply (zenon_L268_); trivial.
% 11.29/11.46 (* end of lemma zenon_L329_ *)
% 11.29/11.46 assert (zenon_L330_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_Hcb zenon_H1f zenon_Hc5.
% 11.29/11.46 cut (((op (e0) (e1)) = (e1)) = ((op (e0) (e1)) = (op (e2) (e1)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_Hcb.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H1f.
% 11.29/11.46 cut (((e1) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hc6].
% 11.29/11.46 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H74].
% 11.29/11.46 congruence.
% 11.29/11.46 apply zenon_H74. apply refl_equal.
% 11.29/11.46 apply zenon_Hc6. apply sym_equal. exact zenon_Hc5.
% 11.29/11.46 (* end of lemma zenon_L330_ *)
% 11.29/11.46 assert (zenon_L331_ : (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H212 zenon_H6d zenon_H99.
% 11.29/11.46 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e3) (e0)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H212.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H6d.
% 11.29/11.46 cut (((e1) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H218].
% 11.29/11.46 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 11.29/11.46 congruence.
% 11.29/11.46 apply zenon_H110. apply refl_equal.
% 11.29/11.46 apply zenon_H218. apply sym_equal. exact zenon_H99.
% 11.29/11.46 (* end of lemma zenon_L331_ *)
% 11.29/11.46 assert (zenon_L332_ : ((op (e2) (e3)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H18a zenon_H62 zenon_H117.
% 11.29/11.46 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H18c | zenon_intro zenon_He4 ].
% 11.29/11.46 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e1) (e3)) = (op (e2) (e3)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H117.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H18c.
% 11.29/11.46 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He4].
% 11.29/11.46 cut (((op (e2) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H219].
% 11.29/11.46 congruence.
% 11.29/11.46 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e1) (e3)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H219.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H18a.
% 11.29/11.46 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H63].
% 11.29/11.46 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He4].
% 11.29/11.46 congruence.
% 11.29/11.46 apply zenon_He4. apply refl_equal.
% 11.29/11.46 apply zenon_H63. apply sym_equal. exact zenon_H62.
% 11.29/11.46 apply zenon_He4. apply refl_equal.
% 11.29/11.46 apply zenon_He4. apply refl_equal.
% 11.29/11.46 (* end of lemma zenon_L332_ *)
% 11.29/11.46 assert (zenon_L333_ : (((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 (e1) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H194 zenon_H72 zenon_H16e zenon_H90 zenon_H117 zenon_H62 zenon_Hed zenon_He3.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H96 | zenon_intro zenon_H195 ].
% 11.29/11.46 apply (zenon_L176_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H118 | zenon_intro zenon_H196 ].
% 11.29/11.46 apply (zenon_L96_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18a | zenon_intro zenon_H164 ].
% 11.29/11.46 apply (zenon_L332_); trivial.
% 11.29/11.46 apply (zenon_L144_); trivial.
% 11.29/11.46 (* end of lemma zenon_L333_ *)
% 11.29/11.46 assert (zenon_L334_ : ((op (e2) (e3)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H18a zenon_Hb5 zenon_H95.
% 11.29/11.46 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H18c | zenon_intro zenon_He4 ].
% 11.29/11.46 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (e0)) = (op (e2) (e3)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H95.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H18c.
% 11.29/11.46 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He4].
% 11.29/11.46 cut (((op (e2) (e3)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21a].
% 11.29/11.46 congruence.
% 11.29/11.46 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e2) (e0)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H21a.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H18a.
% 11.29/11.46 cut (((e2) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc2].
% 11.29/11.46 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He4].
% 11.29/11.46 congruence.
% 11.29/11.46 apply zenon_He4. apply refl_equal.
% 11.29/11.46 apply zenon_Hc2. apply sym_equal. exact zenon_Hb5.
% 11.29/11.46 apply zenon_He4. apply refl_equal.
% 11.29/11.46 apply zenon_He4. apply refl_equal.
% 11.29/11.46 (* end of lemma zenon_L334_ *)
% 11.29/11.46 assert (zenon_L335_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H61 zenon_H72 zenon_H7a.
% 11.29/11.46 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H61.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H72.
% 11.29/11.46 cut (((e0) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H21b].
% 11.29/11.46 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 11.29/11.46 congruence.
% 11.29/11.46 apply zenon_H64. apply refl_equal.
% 11.29/11.46 apply zenon_H21b. apply sym_equal. exact zenon_H7a.
% 11.29/11.46 (* end of lemma zenon_L335_ *)
% 11.29/11.46 assert (zenon_L336_ : (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H141 zenon_H62 zenon_Hb4.
% 11.29/11.46 cut (((op (e1) (e3)) = (e2)) = ((op (e1) (e3)) = (op (e3) (e3)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H141.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H62.
% 11.29/11.46 cut (((e2) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 11.29/11.46 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a].
% 11.29/11.46 congruence.
% 11.29/11.46 apply zenon_H11a. apply refl_equal.
% 11.29/11.46 apply zenon_Hea. apply sym_equal. exact zenon_Hb4.
% 11.29/11.46 (* end of lemma zenon_L336_ *)
% 11.29/11.46 assert (zenon_L337_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H154 zenon_H72 zenon_H61 zenon_H118 zenon_H117 zenon_Hb4 zenon_Hed zenon_H141.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H7a | zenon_intro zenon_H155 ].
% 11.29/11.46 apply (zenon_L335_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H90 | zenon_intro zenon_H156 ].
% 11.29/11.46 apply (zenon_L96_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 11.29/11.46 apply (zenon_L336_); trivial.
% 11.29/11.46 apply (zenon_L120_); trivial.
% 11.29/11.46 (* end of lemma zenon_L337_ *)
% 11.29/11.46 assert (zenon_L338_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H72 zenon_H154 zenon_Hb4 zenon_Hed zenon_He3.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H96 | zenon_intro zenon_H195 ].
% 11.29/11.46 apply (zenon_L176_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H118 | zenon_intro zenon_H196 ].
% 11.29/11.46 apply (zenon_L337_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18a | zenon_intro zenon_H164 ].
% 11.29/11.46 apply (zenon_L188_); trivial.
% 11.29/11.46 apply (zenon_L144_); trivial.
% 11.29/11.46 (* end of lemma zenon_L338_ *)
% 11.29/11.46 assert (zenon_L339_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H197 zenon_H27 zenon_H90 zenon_H95 zenon_Hb5 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H72 zenon_H154 zenon_Hed zenon_He3.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H3f | zenon_intro zenon_H198 ].
% 11.29/11.46 apply (zenon_L180_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H62 | zenon_intro zenon_H199 ].
% 11.29/11.46 apply (zenon_L333_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H18a | zenon_intro zenon_Hb4 ].
% 11.29/11.46 apply (zenon_L334_); trivial.
% 11.29/11.46 apply (zenon_L338_); trivial.
% 11.29/11.46 (* end of lemma zenon_L339_ *)
% 11.29/11.46 assert (zenon_L340_ : (((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)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H92 zenon_H99 zenon_H212 zenon_H10b zenon_H1f zenon_Heb zenon_He2 zenon_H3c zenon_H2f zenon_H41 zenon_Hf3 zenon_H197 zenon_H27 zenon_H95 zenon_Hb5 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H72 zenon_H154 zenon_Hed zenon_He3.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.29/11.46 apply (zenon_L331_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.29/11.46 apply (zenon_L223_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.29/11.46 apply (zenon_L171_); trivial.
% 11.29/11.46 apply (zenon_L339_); trivial.
% 11.29/11.46 (* end of lemma zenon_L340_ *)
% 11.29/11.46 assert (zenon_L341_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (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 (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (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) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H49 zenon_H1aa zenon_H30 zenon_He3 zenon_Hed zenon_H154 zenon_H61 zenon_H117 zenon_H141 zenon_H16e zenon_H194 zenon_Hb5 zenon_H95 zenon_H197 zenon_Hf3 zenon_H41 zenon_H3c zenon_He2 zenon_Heb zenon_H1f zenon_H10b zenon_H212 zenon_H99 zenon_H92 zenon_H72 zenon_H27.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.29/11.46 apply (zenon_L208_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.29/11.46 apply (zenon_L211_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.29/11.46 apply (zenon_L340_); trivial.
% 11.29/11.46 apply (zenon_L180_); trivial.
% 11.29/11.46 (* end of lemma zenon_L341_ *)
% 11.29/11.46 assert (zenon_L342_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (((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)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e1)) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_Hb9 zenon_H27 zenon_H92 zenon_H212 zenon_H10b zenon_H1f zenon_Heb zenon_He2 zenon_H3c zenon_H41 zenon_Hf3 zenon_H197 zenon_H95 zenon_Hb5 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H154 zenon_Hed zenon_He3 zenon_H30 zenon_H1aa zenon_H49 zenon_H14f zenon_H10c zenon_H20 zenon_H118 zenon_H99 zenon_Ha4.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.29/11.46 apply (zenon_L341_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.29/11.46 apply (zenon_L135_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.29/11.46 apply (zenon_L166_); trivial.
% 11.29/11.46 apply (zenon_L45_); trivial.
% 11.29/11.46 (* end of lemma zenon_L342_ *)
% 11.29/11.46 assert (zenon_L343_ : ((op (e2) (e0)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_Hb5 zenon_H58 zenon_H16c.
% 11.29/11.46 elim (classic ((op (e2) (e0)) = (op (e2) (e0)))); [ zenon_intro zenon_H1ab | zenon_intro zenon_H98 ].
% 11.29/11.46 cut (((op (e2) (e0)) = (op (e2) (e0))) = ((op (e1) (e0)) = (op (e2) (e0)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H16c.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H1ab.
% 11.29/11.46 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 11.29/11.46 cut (((op (e2) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21c].
% 11.29/11.46 congruence.
% 11.29/11.46 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e1) (e0)))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H21c.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_Hb5.
% 11.29/11.46 cut (((e2) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21d].
% 11.29/11.46 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 11.29/11.46 congruence.
% 11.29/11.46 apply zenon_H98. apply refl_equal.
% 11.29/11.46 apply zenon_H21d. apply sym_equal. exact zenon_H58.
% 11.29/11.46 apply zenon_H98. apply refl_equal.
% 11.29/11.46 apply zenon_H98. apply refl_equal.
% 11.29/11.46 (* end of lemma zenon_L343_ *)
% 11.29/11.46 assert (zenon_L344_ : (~((op (e1) (op (e1) (e1))) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H21e zenon_H6c.
% 11.29/11.46 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H68].
% 11.29/11.46 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.29/11.46 congruence.
% 11.29/11.46 apply zenon_H22. apply refl_equal.
% 11.29/11.46 exact (zenon_H68 zenon_H6c).
% 11.29/11.46 (* end of lemma zenon_L344_ *)
% 11.29/11.46 assert (zenon_L345_ : ((op (e1) (e2)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> (~((e0) = (op (e1) (op (e1) (e1))))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_He0 zenon_H6c zenon_H7b.
% 11.29/11.46 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ].
% 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e0) = (op (e1) (op (e1) (e1))))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H7b.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H7c.
% 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7d].
% 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7e].
% 11.29/11.46 congruence.
% 11.29/11.46 cut (((op (e1) (e2)) = (e0)) = ((op (e1) (op (e1) (e1))) = (e0))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H7e.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_He0.
% 11.29/11.46 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.29/11.46 cut (((op (e1) (e2)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H21f].
% 11.29/11.46 congruence.
% 11.29/11.46 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ].
% 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e2)) = (op (e1) (op (e1) (e1))))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H21f.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H7c.
% 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7d].
% 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H21e].
% 11.29/11.46 congruence.
% 11.29/11.46 apply (zenon_L344_); trivial.
% 11.29/11.46 apply zenon_H7d. apply refl_equal.
% 11.29/11.46 apply zenon_H7d. apply refl_equal.
% 11.29/11.46 apply zenon_H1d. apply refl_equal.
% 11.29/11.46 apply zenon_H7d. apply refl_equal.
% 11.29/11.46 apply zenon_H7d. apply refl_equal.
% 11.29/11.46 (* end of lemma zenon_L345_ *)
% 11.29/11.46 assert (zenon_L346_ : ((op (e1) (e2)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_He0 zenon_H75 zenon_H6c.
% 11.29/11.46 apply (zenon_notand_s _ _ ax10); [ zenon_intro zenon_H7b | zenon_intro zenon_H220 ].
% 11.29/11.46 apply (zenon_L345_); trivial.
% 11.29/11.46 apply (zenon_notand_s _ _ zenon_H220); [ zenon_intro zenon_H20c | zenon_intro zenon_H159 ].
% 11.29/11.46 elim (classic ((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1)))))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ].
% 11.29/11.46 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1))))) = ((e3) = (op (e1) (op (e1) (op (e1) (e1)))))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H20c.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H83.
% 11.29/11.46 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1)))))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 11.29/11.46 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H20d].
% 11.29/11.46 congruence.
% 11.29/11.46 cut (((op (e1) (e0)) = (e3)) = ((op (e1) (op (e1) (op (e1) (e1)))) = (e3))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H20d.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H75.
% 11.29/11.46 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.29/11.46 cut (((op (e1) (e0)) = (op (e1) (op (e1) (op (e1) (e1)))))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 11.29/11.46 congruence.
% 11.29/11.46 elim (classic ((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1)))))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ].
% 11.29/11.46 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1))))) = ((op (e1) (e0)) = (op (e1) (op (e1) (op (e1) (e1)))))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H86.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H83.
% 11.29/11.46 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1)))))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 11.29/11.46 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 11.29/11.46 congruence.
% 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7e].
% 11.29/11.46 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.29/11.46 congruence.
% 11.29/11.46 apply zenon_H22. apply refl_equal.
% 11.29/11.46 cut (((op (e1) (e2)) = (e0)) = ((op (e1) (op (e1) (e1))) = (e0))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H7e.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_He0.
% 11.29/11.46 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.29/11.46 cut (((op (e1) (e2)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H21f].
% 11.29/11.46 congruence.
% 11.29/11.46 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ].
% 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e2)) = (op (e1) (op (e1) (e1))))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H21f.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H7c.
% 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7d].
% 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H21e].
% 11.29/11.46 congruence.
% 11.29/11.46 apply (zenon_L344_); trivial.
% 11.29/11.46 apply zenon_H7d. apply refl_equal.
% 11.29/11.46 apply zenon_H7d. apply refl_equal.
% 11.29/11.46 apply zenon_H1d. apply refl_equal.
% 11.29/11.46 apply zenon_H84. apply refl_equal.
% 11.29/11.46 apply zenon_H84. apply refl_equal.
% 11.29/11.46 apply zenon_H36. apply refl_equal.
% 11.29/11.46 apply zenon_H84. apply refl_equal.
% 11.29/11.46 apply zenon_H84. apply refl_equal.
% 11.29/11.46 apply zenon_H159. apply sym_equal. exact zenon_H6c.
% 11.29/11.46 (* end of lemma zenon_L346_ *)
% 11.29/11.46 assert (zenon_L347_ : ((op (e1) (e2)) = (e0)) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e2))) -> False).
% 11.29/11.46 do 0 intro. intros zenon_He0 zenon_H5b zenon_H27.
% 11.29/11.46 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ].
% 11.29/11.46 cut (((e2) = (e2)) = ((e0) = (e2))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H27.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_H28.
% 11.29/11.46 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.29/11.46 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 11.29/11.46 congruence.
% 11.29/11.46 cut (((op (e1) (e2)) = (e0)) = ((e2) = (e0))).
% 11.29/11.46 intro zenon_D_pnotp.
% 11.29/11.46 apply zenon_H2a.
% 11.29/11.46 rewrite <- zenon_D_pnotp.
% 11.29/11.46 exact zenon_He0.
% 11.29/11.46 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.29/11.46 cut (((op (e1) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H221].
% 11.29/11.46 congruence.
% 11.29/11.46 exact (zenon_H221 zenon_H5b).
% 11.29/11.46 apply zenon_H1d. apply refl_equal.
% 11.29/11.46 apply zenon_H29. apply refl_equal.
% 11.29/11.46 apply zenon_H29. apply refl_equal.
% 11.29/11.46 (* end of lemma zenon_L347_ *)
% 11.29/11.46 assert (zenon_L348_ : (((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) (e0)) = (e3)) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 11.29/11.46 do 0 intro. intros zenon_H69 zenon_H16c zenon_Hb5 zenon_H75 zenon_H27 zenon_He0 zenon_H61 zenon_H3f.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.29/11.46 apply (zenon_L343_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.29/11.46 apply (zenon_L346_); trivial.
% 11.29/11.46 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.29/11.46 apply (zenon_L347_); trivial.
% 11.29/11.46 apply (zenon_L22_); trivial.
% 11.29/11.46 (* end of lemma zenon_L348_ *)
% 11.29/11.46 assert (zenon_L349_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (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 (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (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)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H13a zenon_H44 zenon_H3c zenon_H88 zenon_H10e zenon_H25 zenon_H20 zenon_Hb7 zenon_H41 zenon_H34 zenon_H49 zenon_H1aa zenon_He3 zenon_Hed zenon_H154 zenon_H117 zenon_H141 zenon_H16e zenon_H194 zenon_H95 zenon_H197 zenon_Hf3 zenon_He2 zenon_Heb zenon_H212 zenon_H92 zenon_Hb9 zenon_H5c zenon_Hcb zenon_Hb8 zenon_H8d zenon_H1ca zenon_H113 zenon_H106 zenon_H167 zenon_H16a zenon_H11b zenon_H148 zenon_He5 zenon_H61 zenon_H27 zenon_H16c zenon_H69 zenon_H15a zenon_H14f zenon_H10b zenon_H1f zenon_H68 zenon_H79 zenon_H38 zenon_H161 zenon_H30.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.29/11.47 apply (zenon_L129_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.29/11.47 apply (zenon_L325_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.29/11.47 apply (zenon_L329_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.29/11.47 apply (zenon_L3_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.29/11.47 apply (zenon_L211_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.29/11.47 apply (zenon_L212_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.29/11.47 apply (zenon_L3_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.29/11.47 apply (zenon_L328_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.29/11.47 exact (zenon_H38 zenon_H33).
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.29/11.47 apply (zenon_L118_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.29/11.47 apply (zenon_L211_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.29/11.47 exact (zenon_H68 zenon_H6c).
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.29/11.47 apply (zenon_L133_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.29/11.47 apply (zenon_L329_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.29/11.47 apply (zenon_L330_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.29/11.47 apply (zenon_L192_); trivial.
% 11.29/11.47 apply (zenon_L342_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.29/11.47 apply (zenon_L348_); trivial.
% 11.29/11.47 apply (zenon_L327_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.29/11.47 apply (zenon_L233_); trivial.
% 11.29/11.47 apply (zenon_L313_); trivial.
% 11.29/11.47 apply (zenon_L41_); trivial.
% 11.29/11.47 (* end of lemma zenon_L349_ *)
% 11.29/11.47 assert (zenon_L350_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((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)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_Hf3 zenon_H2e zenon_H75 zenon_H10e zenon_He2 zenon_H1b0 zenon_H122 zenon_H34 zenon_H15d zenon_H16a zenon_Hf6 zenon_H1df zenon_H1e2 zenon_H1f0 zenon_H3c zenon_H1f3 zenon_Hb0 zenon_Hb1 zenon_H41 zenon_H30 zenon_Hf0 zenon_H1d8 zenon_H1c1 zenon_Heb.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.29/11.47 apply (zenon_L9_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.29/11.47 apply (zenon_L229_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.29/11.47 exact (zenon_He2 zenon_He1).
% 11.29/11.47 apply (zenon_L280_); trivial.
% 11.29/11.47 (* end of lemma zenon_L350_ *)
% 11.29/11.47 assert (zenon_L351_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((op (e3) (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 (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H8d zenon_Heb zenon_H1c1 zenon_H1d8 zenon_Hf0 zenon_H30 zenon_H41 zenon_Hb1 zenon_Hb0 zenon_H1f3 zenon_H1f0 zenon_H1e2 zenon_H1df zenon_Hf6 zenon_H16a zenon_H15d zenon_H34 zenon_H122 zenon_H1b0 zenon_He2 zenon_H10e zenon_H2e zenon_Hf3 zenon_H79 zenon_H3c zenon_H88 zenon_Hed zenon_H141.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.29/11.47 apply (zenon_L350_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.29/11.47 exact (zenon_H79 zenon_H78).
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.29/11.47 apply (zenon_L35_); trivial.
% 11.29/11.47 apply (zenon_L120_); trivial.
% 11.29/11.47 (* end of lemma zenon_L351_ *)
% 11.29/11.47 assert (zenon_L352_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (op (e3) (e3)))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H161 zenon_H38 zenon_H41 zenon_H58 zenon_H3c zenon_H6f zenon_H15f zenon_H15d.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.29/11.47 exact (zenon_H38 zenon_H33).
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.29/11.47 apply (zenon_L31_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.29/11.47 apply (zenon_L136_); trivial.
% 11.29/11.47 apply (zenon_L142_); trivial.
% 11.29/11.47 (* end of lemma zenon_L352_ *)
% 11.29/11.47 assert (zenon_L353_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H10b zenon_H2c zenon_H6c.
% 11.29/11.47 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (e1)) = (op (e1) (e1)))).
% 11.29/11.47 intro zenon_D_pnotp.
% 11.29/11.47 apply zenon_H10b.
% 11.29/11.47 rewrite <- zenon_D_pnotp.
% 11.29/11.47 exact zenon_H2c.
% 11.29/11.47 cut (((e2) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H159].
% 11.29/11.47 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H74].
% 11.29/11.47 congruence.
% 11.29/11.47 apply zenon_H74. apply refl_equal.
% 11.29/11.47 apply zenon_H159. apply sym_equal. exact zenon_H6c.
% 11.29/11.47 (* end of lemma zenon_L353_ *)
% 11.29/11.47 assert (zenon_L354_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H15a zenon_H57 zenon_H1ca zenon_H216 zenon_H88 zenon_H2c zenon_H10b zenon_H79.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ].
% 11.29/11.47 apply (zenon_L232_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ].
% 11.29/11.47 apply (zenon_L304_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ].
% 11.29/11.47 apply (zenon_L353_); trivial.
% 11.29/11.47 exact (zenon_H79 zenon_H78).
% 11.29/11.47 (* end of lemma zenon_L354_ *)
% 11.29/11.47 assert (zenon_L355_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H222 zenon_H2c zenon_Ha4.
% 11.29/11.47 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (e1)) = (op (e3) (e1)))).
% 11.29/11.47 intro zenon_D_pnotp.
% 11.29/11.47 apply zenon_H222.
% 11.29/11.47 rewrite <- zenon_D_pnotp.
% 11.29/11.47 exact zenon_H2c.
% 11.29/11.47 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1cc].
% 11.29/11.47 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H74].
% 11.29/11.47 congruence.
% 11.29/11.47 apply zenon_H74. apply refl_equal.
% 11.29/11.47 apply zenon_H1cc. apply sym_equal. exact zenon_Ha4.
% 11.29/11.47 (* end of lemma zenon_L355_ *)
% 11.29/11.47 assert (zenon_L356_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H223 zenon_Hf7 zenon_H1d8 zenon_H56 zenon_H1f3 zenon_H2c zenon_H222 zenon_He5 zenon_Hed.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H120 | zenon_intro zenon_H224 ].
% 11.29/11.47 apply (zenon_L254_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He6 | zenon_intro zenon_H225 ].
% 11.29/11.47 apply (zenon_L278_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H147 ].
% 11.29/11.47 apply (zenon_L355_); trivial.
% 11.29/11.47 apply (zenon_L132_); trivial.
% 11.29/11.47 (* end of lemma zenon_L356_ *)
% 11.29/11.47 assert (zenon_L357_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H15a zenon_H14f zenon_H7a zenon_Hed zenon_He5 zenon_H222 zenon_H2c zenon_H1f3 zenon_H1d8 zenon_Hf7 zenon_H223 zenon_H68 zenon_H79.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ].
% 11.29/11.47 apply (zenon_L135_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ].
% 11.29/11.47 apply (zenon_L356_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ].
% 11.29/11.47 exact (zenon_H68 zenon_H6c).
% 11.29/11.47 exact (zenon_H79 zenon_H78).
% 11.29/11.47 (* end of lemma zenon_L357_ *)
% 11.29/11.47 assert (zenon_L358_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H154 zenon_H79 zenon_H68 zenon_H223 zenon_Hf7 zenon_H1d8 zenon_H1f3 zenon_H2c zenon_H222 zenon_He5 zenon_H14f zenon_H15a zenon_H47 zenon_H61 zenon_H117 zenon_H18a zenon_Hed zenon_H141.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H7a | zenon_intro zenon_H155 ].
% 11.29/11.47 apply (zenon_L357_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H90 | zenon_intro zenon_H156 ].
% 11.29/11.47 apply (zenon_L127_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 11.29/11.47 apply (zenon_L332_); trivial.
% 11.29/11.47 apply (zenon_L120_); trivial.
% 11.29/11.47 (* end of lemma zenon_L358_ *)
% 11.29/11.47 assert (zenon_L359_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H1a2 zenon_H6f zenon_H30 zenon_H41 zenon_H145 zenon_H1c1 zenon_H154 zenon_H79 zenon_H68 zenon_H223 zenon_Hf7 zenon_H1d8 zenon_H1f3 zenon_H2c zenon_H222 zenon_He5 zenon_H14f zenon_H15a zenon_H47 zenon_H61 zenon_H117 zenon_Hed zenon_H141.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ].
% 11.29/11.47 apply (zenon_L108_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ].
% 11.29/11.47 apply (zenon_L131_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ].
% 11.29/11.47 exact (zenon_H1c1 zenon_H5a).
% 11.29/11.47 apply (zenon_L358_); trivial.
% 11.29/11.47 (* end of lemma zenon_L359_ *)
% 11.29/11.47 assert (zenon_L360_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H148 zenon_H141 zenon_H117 zenon_H61 zenon_H47 zenon_H15a zenon_H14f zenon_H222 zenon_H2c zenon_H1f3 zenon_H1d8 zenon_H223 zenon_H68 zenon_H79 zenon_H154 zenon_H1c1 zenon_H41 zenon_H30 zenon_H6f zenon_H1a2 zenon_H5b zenon_H27 zenon_H25 zenon_H1b8 zenon_Hfb zenon_He5 zenon_Hed.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.29/11.47 apply (zenon_L65_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.29/11.47 exact (zenon_H79 zenon_H78).
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.29/11.47 apply (zenon_L221_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.29/11.47 apply (zenon_L347_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.29/11.47 apply (zenon_L174_); trivial.
% 11.29/11.47 apply (zenon_L359_); trivial.
% 11.29/11.47 apply (zenon_L132_); trivial.
% 11.29/11.47 (* end of lemma zenon_L360_ *)
% 11.29/11.47 assert (zenon_L361_ : (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H226 zenon_Hb5 zenon_H9a.
% 11.29/11.47 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e3) (e0)))).
% 11.29/11.47 intro zenon_D_pnotp.
% 11.29/11.47 apply zenon_H226.
% 11.29/11.47 rewrite <- zenon_D_pnotp.
% 11.29/11.47 exact zenon_Hb5.
% 11.29/11.47 cut (((e2) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H227].
% 11.29/11.47 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 11.29/11.47 congruence.
% 11.29/11.47 apply zenon_H98. apply refl_equal.
% 11.29/11.47 apply zenon_H227. apply sym_equal. exact zenon_H9a.
% 11.29/11.47 (* end of lemma zenon_L361_ *)
% 11.29/11.47 assert (zenon_L362_ : (((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) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H1a2 zenon_H9a zenon_H226 zenon_He3 zenon_Hed zenon_He2 zenon_H41 zenon_H6f zenon_H3c zenon_H167 zenon_H1c1 zenon_H62 zenon_H117.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ].
% 11.29/11.47 apply (zenon_L361_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ].
% 11.29/11.47 apply (zenon_L145_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ].
% 11.29/11.47 exact (zenon_H1c1 zenon_H5a).
% 11.29/11.47 apply (zenon_L332_); trivial.
% 11.29/11.47 (* end of lemma zenon_L362_ *)
% 11.29/11.47 assert (zenon_L363_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H15a zenon_H14f zenon_H7a zenon_Hc5 zenon_H157 zenon_H68 zenon_H79.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ].
% 11.29/11.47 apply (zenon_L135_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ].
% 11.29/11.47 apply (zenon_L239_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ].
% 11.29/11.47 exact (zenon_H68 zenon_H6c).
% 11.29/11.47 exact (zenon_H79 zenon_H78).
% 11.29/11.47 (* end of lemma zenon_L363_ *)
% 11.29/11.47 assert (zenon_L364_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H7a zenon_He0 zenon_H228.
% 11.29/11.47 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H150 | zenon_intro zenon_H11a ].
% 11.29/11.47 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e2)) = (op (e1) (e3)))).
% 11.29/11.47 intro zenon_D_pnotp.
% 11.29/11.47 apply zenon_H228.
% 11.29/11.47 rewrite <- zenon_D_pnotp.
% 11.29/11.47 exact zenon_H150.
% 11.29/11.47 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a].
% 11.29/11.47 cut (((op (e1) (e3)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H229].
% 11.29/11.47 congruence.
% 11.29/11.47 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (e3)) = (op (e1) (e2)))).
% 11.29/11.47 intro zenon_D_pnotp.
% 11.29/11.47 apply zenon_H229.
% 11.29/11.47 rewrite <- zenon_D_pnotp.
% 11.29/11.47 exact zenon_H7a.
% 11.29/11.47 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10f].
% 11.29/11.47 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a].
% 11.29/11.47 congruence.
% 11.29/11.47 apply zenon_H11a. apply refl_equal.
% 11.29/11.47 apply zenon_H10f. apply sym_equal. exact zenon_He0.
% 11.29/11.47 apply zenon_H11a. apply refl_equal.
% 11.29/11.47 apply zenon_H11a. apply refl_equal.
% 11.29/11.47 (* end of lemma zenon_L364_ *)
% 11.29/11.47 assert (zenon_L365_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e3))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H105 zenon_H10b zenon_H216 zenon_H88 zenon_H157 zenon_H148 zenon_H141 zenon_Hed zenon_H117 zenon_H61 zenon_H47 zenon_H15a zenon_H14f zenon_He5 zenon_H222 zenon_H2c zenon_H1f3 zenon_H1d8 zenon_H223 zenon_H68 zenon_H79 zenon_H154 zenon_H1c1 zenon_H41 zenon_H30 zenon_H6f zenon_H1a2 zenon_H7a zenon_H228 zenon_H49 zenon_H2b zenon_H34 zenon_H38 zenon_H44 zenon_H27 zenon_Hfb zenon_H3c.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.29/11.47 apply (zenon_L327_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.29/11.47 apply (zenon_L304_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.29/11.47 apply (zenon_L363_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.29/11.47 apply (zenon_L65_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.29/11.47 exact (zenon_H79 zenon_H78).
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.29/11.47 apply (zenon_L286_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.29/11.47 apply (zenon_L364_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.29/11.47 apply (zenon_L174_); trivial.
% 11.29/11.47 apply (zenon_L359_); trivial.
% 11.29/11.47 apply (zenon_L157_); trivial.
% 11.29/11.47 (* end of lemma zenon_L365_ *)
% 11.29/11.47 assert (zenon_L366_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e3)) -> ((op (e1) (e0)) = (e2)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H15a zenon_H89 zenon_H58 zenon_Hc5 zenon_H157 zenon_H68 zenon_H79.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ].
% 11.29/11.47 apply (zenon_L291_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ].
% 11.29/11.47 apply (zenon_L239_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ].
% 11.29/11.47 exact (zenon_H68 zenon_H6c).
% 11.29/11.47 exact (zenon_H79 zenon_H78).
% 11.29/11.47 (* end of lemma zenon_L366_ *)
% 11.29/11.47 assert (zenon_L367_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H8d zenon_H41 zenon_H79 zenon_H68 zenon_H157 zenon_Hc5 zenon_H58 zenon_H15a zenon_Hed zenon_H141.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.29/11.47 apply (zenon_L31_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.29/11.47 exact (zenon_H79 zenon_H78).
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.29/11.47 apply (zenon_L366_); trivial.
% 11.29/11.47 apply (zenon_L120_); trivial.
% 11.29/11.47 (* end of lemma zenon_L367_ *)
% 11.29/11.47 assert (zenon_L368_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H105 zenon_H71 zenon_H47 zenon_H216 zenon_H88 zenon_H141 zenon_Hed zenon_H15a zenon_H58 zenon_H157 zenon_H68 zenon_H79 zenon_H41 zenon_H8d zenon_H16a zenon_H99.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.29/11.47 apply (zenon_L199_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.29/11.47 apply (zenon_L304_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.29/11.47 apply (zenon_L367_); trivial.
% 11.29/11.47 apply (zenon_L146_); trivial.
% 11.29/11.47 (* end of lemma zenon_L368_ *)
% 11.29/11.47 assert (zenon_L369_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H1f3 zenon_H10c zenon_H120.
% 11.29/11.47 cut (((op (e1) (e1)) = (e0)) = ((op (e1) (e1)) = (op (e3) (e1)))).
% 11.29/11.47 intro zenon_D_pnotp.
% 11.29/11.47 apply zenon_H1f3.
% 11.29/11.47 rewrite <- zenon_D_pnotp.
% 11.29/11.47 exact zenon_H10c.
% 11.29/11.47 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1de].
% 11.29/11.47 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1bd].
% 11.29/11.47 congruence.
% 11.29/11.47 apply zenon_H1bd. apply refl_equal.
% 11.29/11.47 apply zenon_H1de. apply sym_equal. exact zenon_H120.
% 11.29/11.47 (* end of lemma zenon_L369_ *)
% 11.29/11.47 assert (zenon_L370_ : (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H15f zenon_He5 zenon_H147.
% 11.29/11.47 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160.
% 11.29/11.47 apply (zenon_L132_); trivial.
% 11.29/11.47 (* end of lemma zenon_L370_ *)
% 11.29/11.47 assert (zenon_L371_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e1)) = (op (e3) (e3)))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H223 zenon_Hf7 zenon_H1d8 zenon_H99 zenon_H16a zenon_H2c zenon_H222 zenon_H15f zenon_He5.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H120 | zenon_intro zenon_H224 ].
% 11.29/11.47 apply (zenon_L254_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He6 | zenon_intro zenon_H225 ].
% 11.29/11.47 apply (zenon_L146_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H147 ].
% 11.29/11.47 apply (zenon_L355_); trivial.
% 11.29/11.47 apply (zenon_L370_); trivial.
% 11.29/11.47 (* end of lemma zenon_L371_ *)
% 11.29/11.47 assert (zenon_L372_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_Hb8 zenon_H27 zenon_H25 zenon_H16a zenon_H8d zenon_H41 zenon_H79 zenon_H68 zenon_H157 zenon_H15a zenon_Hed zenon_H141 zenon_H88 zenon_H216 zenon_H47 zenon_H71 zenon_H105 zenon_H95 zenon_H18a zenon_H99 zenon_H30.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.29/11.47 apply (zenon_L3_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.29/11.47 apply (zenon_L368_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.29/11.47 apply (zenon_L334_); trivial.
% 11.29/11.47 apply (zenon_L41_); trivial.
% 11.29/11.47 (* end of lemma zenon_L372_ *)
% 11.29/11.47 assert (zenon_L373_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H105 zenon_H30 zenon_H2c zenon_H216 zenon_H88 zenon_H79 zenon_H68 zenon_H157 zenon_H7a zenon_H14f zenon_H15a zenon_H16a zenon_H99.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.29/11.47 apply (zenon_L211_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.29/11.47 apply (zenon_L304_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.29/11.47 apply (zenon_L363_); trivial.
% 11.29/11.47 apply (zenon_L146_); trivial.
% 11.29/11.47 (* end of lemma zenon_L373_ *)
% 11.29/11.47 assert (zenon_L374_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e0)) = (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) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((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) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H49 zenon_H99 zenon_H161 zenon_H38 zenon_H16a zenon_H15a zenon_H14f zenon_H157 zenon_H68 zenon_H79 zenon_H216 zenon_H105 zenon_H20 zenon_H122 zenon_H1e2 zenon_H1f3 zenon_He5 zenon_H15f zenon_H222 zenon_H1d8 zenon_H223 zenon_H194 zenon_H16e zenon_H95 zenon_H71 zenon_H141 zenon_H8d zenon_H25 zenon_H27 zenon_Hb8 zenon_He3 zenon_H34 zenon_H113 zenon_Hed zenon_Heb zenon_He2 zenon_H88 zenon_H3c zenon_H41 zenon_Hf3 zenon_H47 zenon_H30.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.29/11.47 apply (zenon_L3_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.29/11.47 apply (zenon_L3_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.29/11.47 apply (zenon_L368_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.29/11.47 exact (zenon_H38 zenon_H33).
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.29/11.47 apply (zenon_L118_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ].
% 11.29/11.47 apply (zenon_L261_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ].
% 11.29/11.47 apply (zenon_L369_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ].
% 11.29/11.47 apply (zenon_L371_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H96 | zenon_intro zenon_H195 ].
% 11.29/11.47 apply (zenon_L71_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H118 | zenon_intro zenon_H196 ].
% 11.29/11.47 apply (zenon_L150_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18a | zenon_intro zenon_H164 ].
% 11.29/11.47 apply (zenon_L372_); trivial.
% 11.29/11.47 apply (zenon_L144_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.29/11.47 apply (zenon_L92_); trivial.
% 11.29/11.47 apply (zenon_L373_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.29/11.47 apply (zenon_L233_); trivial.
% 11.29/11.47 apply (zenon_L196_); trivial.
% 11.29/11.47 apply (zenon_L41_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.29/11.47 apply (zenon_L171_); trivial.
% 11.29/11.47 apply (zenon_L15_); trivial.
% 11.29/11.47 (* end of lemma zenon_L374_ *)
% 11.29/11.47 assert (zenon_L375_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((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) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((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) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_Hb7 zenon_H15d zenon_H1ca zenon_H167 zenon_H226 zenon_H1b8 zenon_H69 zenon_H10b zenon_H148 zenon_H117 zenon_H61 zenon_H154 zenon_H1c1 zenon_H1a2 zenon_H228 zenon_H2b zenon_H44 zenon_Hfb zenon_H49 zenon_H161 zenon_H38 zenon_H16a zenon_H15a zenon_H14f zenon_H157 zenon_H68 zenon_H79 zenon_H216 zenon_H105 zenon_H20 zenon_H122 zenon_H1e2 zenon_H1f3 zenon_He5 zenon_H15f zenon_H222 zenon_H1d8 zenon_H223 zenon_H194 zenon_H16e zenon_H95 zenon_H71 zenon_H141 zenon_H8d zenon_H25 zenon_H27 zenon_Hb8 zenon_He3 zenon_H34 zenon_H113 zenon_Hed zenon_Heb zenon_He2 zenon_H88 zenon_H3c zenon_H41 zenon_Hf3 zenon_H47 zenon_H30.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.29/11.47 apply (zenon_L129_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.29/11.47 apply (zenon_L325_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.29/11.47 exact (zenon_H2b zenon_H26).
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.29/11.47 exact (zenon_H2b zenon_H26).
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.29/11.47 apply (zenon_L352_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.29/11.47 apply (zenon_L108_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.29/11.47 apply (zenon_L354_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.29/11.47 apply (zenon_L292_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.29/11.47 exact (zenon_H68 zenon_H6c).
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.29/11.47 apply (zenon_L360_); trivial.
% 11.29/11.47 apply (zenon_L362_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.29/11.47 apply (zenon_L92_); trivial.
% 11.29/11.47 apply (zenon_L365_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.29/11.47 apply (zenon_L171_); trivial.
% 11.29/11.47 apply (zenon_L15_); trivial.
% 11.29/11.47 apply (zenon_L374_); trivial.
% 11.29/11.47 (* end of lemma zenon_L375_ *)
% 11.29/11.47 assert (zenon_L376_ : (((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 (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H15a zenon_H1e zenon_H10b zenon_Hc5 zenon_H157 zenon_H68 zenon_H79.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ].
% 11.29/11.47 apply (zenon_L87_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ].
% 11.29/11.47 apply (zenon_L239_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ].
% 11.29/11.47 exact (zenon_H68 zenon_H6c).
% 11.29/11.47 exact (zenon_H79 zenon_H78).
% 11.29/11.47 (* end of lemma zenon_L376_ *)
% 11.29/11.47 assert (zenon_L377_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((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)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H105 zenon_H20 zenon_H216 zenon_H88 zenon_H157 zenon_H15a zenon_H1e zenon_H10b zenon_H1f3 zenon_H68 zenon_H79.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.29/11.47 apply (zenon_L2_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.29/11.47 apply (zenon_L304_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.29/11.47 apply (zenon_L376_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ].
% 11.29/11.47 apply (zenon_L87_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ].
% 11.29/11.47 apply (zenon_L278_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ].
% 11.29/11.47 exact (zenon_H68 zenon_H6c).
% 11.29/11.47 exact (zenon_H79 zenon_H78).
% 11.29/11.47 (* end of lemma zenon_L377_ *)
% 11.29/11.47 assert (zenon_L378_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H8d zenon_Heb zenon_H15f zenon_He2 zenon_H10e zenon_Hd0 zenon_H34 zenon_Hf3 zenon_H79 zenon_H3c zenon_H88 zenon_Hed zenon_H141.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.29/11.47 apply (zenon_L231_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.29/11.47 exact (zenon_H79 zenon_H78).
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.29/11.47 apply (zenon_L35_); trivial.
% 11.29/11.47 apply (zenon_L120_); trivial.
% 11.29/11.47 (* end of lemma zenon_L378_ *)
% 11.29/11.47 assert (zenon_L379_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H72 zenon_H40 zenon_H34.
% 11.29/11.47 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.29/11.47 cut (((e3) = (e3)) = ((e0) = (e3))).
% 11.29/11.47 intro zenon_D_pnotp.
% 11.29/11.47 apply zenon_H34.
% 11.29/11.47 rewrite <- zenon_D_pnotp.
% 11.29/11.47 exact zenon_H35.
% 11.29/11.47 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.29/11.47 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 11.29/11.47 congruence.
% 11.29/11.47 cut (((op (e0) (e3)) = (e0)) = ((e3) = (e0))).
% 11.29/11.47 intro zenon_D_pnotp.
% 11.29/11.47 apply zenon_H37.
% 11.29/11.47 rewrite <- zenon_D_pnotp.
% 11.29/11.47 exact zenon_H72.
% 11.29/11.47 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.29/11.47 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H43].
% 11.29/11.47 congruence.
% 11.29/11.47 exact (zenon_H43 zenon_H40).
% 11.29/11.47 apply zenon_H1d. apply refl_equal.
% 11.29/11.47 apply zenon_H36. apply refl_equal.
% 11.29/11.47 apply zenon_H36. apply refl_equal.
% 11.29/11.47 (* end of lemma zenon_L379_ *)
% 11.29/11.47 assert (zenon_L380_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H44 zenon_H3c zenon_H41 zenon_H4f zenon_H2c zenon_H72 zenon_H34.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.29/11.47 apply (zenon_L58_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.29/11.47 apply (zenon_L65_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.29/11.47 apply (zenon_L227_); trivial.
% 11.29/11.47 apply (zenon_L379_); trivial.
% 11.29/11.47 (* end of lemma zenon_L380_ *)
% 11.29/11.47 assert (zenon_L381_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H49 zenon_H30 zenon_H34 zenon_H4f zenon_H44 zenon_Hed zenon_Heb zenon_He2 zenon_H88 zenon_H3c zenon_H41 zenon_Hf3 zenon_H72 zenon_H27.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.29/11.47 apply (zenon_L160_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.29/11.47 apply (zenon_L380_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.29/11.47 apply (zenon_L171_); trivial.
% 11.29/11.47 apply (zenon_L180_); trivial.
% 11.29/11.47 (* end of lemma zenon_L381_ *)
% 11.29/11.47 assert (zenon_L382_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H49 zenon_H2b zenon_H30 zenon_H1f zenon_Hed zenon_Heb zenon_He2 zenon_H88 zenon_H3c zenon_H41 zenon_Hf3 zenon_H72 zenon_H27.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.29/11.47 exact (zenon_H2b zenon_H26).
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.29/11.47 apply (zenon_L211_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.29/11.47 apply (zenon_L171_); trivial.
% 11.29/11.47 apply (zenon_L180_); trivial.
% 11.29/11.47 (* end of lemma zenon_L382_ *)
% 11.29/11.47 assert (zenon_L383_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((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)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((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)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H4c zenon_H44 zenon_H27 zenon_H2b zenon_H49 zenon_H141 zenon_Hed zenon_H88 zenon_H3c zenon_H79 zenon_Hf3 zenon_H10e zenon_He2 zenon_H1b0 zenon_H122 zenon_H34 zenon_H15d zenon_H16a zenon_Hf6 zenon_H1df zenon_H1e2 zenon_H1f0 zenon_H1f3 zenon_Hb0 zenon_Hb1 zenon_H41 zenon_H30 zenon_Hf0 zenon_H1d8 zenon_H1c1 zenon_Heb zenon_H8d zenon_H72 zenon_H20.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.29/11.47 apply (zenon_L381_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.29/11.47 apply (zenon_L382_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.29/11.47 apply (zenon_L351_); trivial.
% 11.29/11.47 apply (zenon_L182_); trivial.
% 11.29/11.47 (* end of lemma zenon_L383_ *)
% 11.29/11.47 assert (zenon_L384_ : (((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)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H69 zenon_H141 zenon_Hed zenon_H10c zenon_H79 zenon_H41 zenon_H8d zenon_H68 zenon_H2f zenon_H13f zenon_H18a zenon_H117.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.29/11.47 apply (zenon_L292_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.29/11.47 exact (zenon_H68 zenon_H6c).
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.29/11.47 apply (zenon_L316_); trivial.
% 11.29/11.47 apply (zenon_L332_); trivial.
% 11.29/11.47 (* end of lemma zenon_L384_ *)
% 11.29/11.47 assert (zenon_L385_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((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))))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_Hb8 zenon_H25 zenon_H15d zenon_H15f zenon_H30 zenon_H161 zenon_H38 zenon_H27 zenon_H13f zenon_H2f zenon_H68 zenon_H69 zenon_H20 zenon_H88 zenon_H141 zenon_Hed zenon_H79 zenon_H8d zenon_H18a zenon_H117 zenon_H34 zenon_H113 zenon_H3c zenon_H6f zenon_H41.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.29/11.47 apply (zenon_L3_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.29/11.47 apply (zenon_L352_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.29/11.47 apply (zenon_L108_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.29/11.47 exact (zenon_H38 zenon_H33).
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.29/11.47 apply (zenon_L118_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.29/11.47 apply (zenon_L384_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.29/11.47 apply (zenon_L92_); trivial.
% 11.29/11.47 apply (zenon_L317_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.29/11.47 apply (zenon_L136_); trivial.
% 11.29/11.47 apply (zenon_L302_); trivial.
% 11.29/11.47 (* end of lemma zenon_L385_ *)
% 11.29/11.47 assert (zenon_L386_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_Hb8 zenon_H2b zenon_H16a zenon_H8d zenon_H41 zenon_H79 zenon_H68 zenon_H157 zenon_H15a zenon_Hed zenon_H141 zenon_H88 zenon_H216 zenon_H47 zenon_H71 zenon_H105 zenon_H95 zenon_H18a zenon_H99 zenon_H30.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.29/11.47 exact (zenon_H2b zenon_H26).
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.29/11.47 apply (zenon_L368_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.29/11.47 apply (zenon_L334_); trivial.
% 11.29/11.47 apply (zenon_L41_); trivial.
% 11.29/11.47 (* end of lemma zenon_L386_ *)
% 11.29/11.47 assert (zenon_L387_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H113 zenon_H1f zenon_H10b zenon_H1ca zenon_H15a zenon_H117 zenon_H18a zenon_H13f zenon_H2f zenon_H68 zenon_H8d zenon_H41 zenon_H79 zenon_Hed zenon_H141 zenon_H69 zenon_H88 zenon_H20 zenon_H61 zenon_H72.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.29/11.47 apply (zenon_L326_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.29/11.47 apply (zenon_L384_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.29/11.47 apply (zenon_L92_); trivial.
% 11.29/11.47 apply (zenon_L335_); trivial.
% 11.29/11.47 (* end of lemma zenon_L387_ *)
% 11.29/11.47 assert (zenon_L388_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H44 zenon_H4f zenon_H41 zenon_H2c zenon_H3c zenon_H2e zenon_Hed zenon_H13a.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.29/11.47 apply (zenon_L58_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.29/11.47 apply (zenon_L65_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.29/11.47 apply (zenon_L9_); trivial.
% 11.29/11.47 apply (zenon_L113_); trivial.
% 11.29/11.47 (* end of lemma zenon_L388_ *)
% 11.29/11.47 assert (zenon_L389_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H49 zenon_H13a zenon_Hed zenon_H3c zenon_H41 zenon_H4f zenon_H44 zenon_H30 zenon_H2e zenon_H72 zenon_H27.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.29/11.47 apply (zenon_L160_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.29/11.47 apply (zenon_L388_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.29/11.47 apply (zenon_L6_); trivial.
% 11.29/11.47 apply (zenon_L180_); trivial.
% 11.29/11.47 (* end of lemma zenon_L389_ *)
% 11.29/11.47 assert (zenon_L390_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H113 zenon_H10b zenon_H2c zenon_H216 zenon_H1ca zenon_H15a zenon_H141 zenon_Hed zenon_H58 zenon_H79 zenon_H41 zenon_H8d zenon_H88 zenon_H20 zenon_H61 zenon_H72.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.29/11.47 apply (zenon_L354_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.29/11.47 apply (zenon_L292_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.29/11.47 apply (zenon_L92_); trivial.
% 11.29/11.47 apply (zenon_L335_); trivial.
% 11.29/11.47 (* end of lemma zenon_L390_ *)
% 11.29/11.47 assert (zenon_L391_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H90 zenon_H88 zenon_H228.
% 11.29/11.47 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H150 | zenon_intro zenon_H11a ].
% 11.29/11.47 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e2)) = (op (e1) (e3)))).
% 11.29/11.47 intro zenon_D_pnotp.
% 11.29/11.47 apply zenon_H228.
% 11.29/11.47 rewrite <- zenon_D_pnotp.
% 11.29/11.47 exact zenon_H150.
% 11.29/11.47 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a].
% 11.29/11.47 cut (((op (e1) (e3)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H229].
% 11.29/11.47 congruence.
% 11.29/11.47 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e1) (e2)))).
% 11.29/11.47 intro zenon_D_pnotp.
% 11.29/11.47 apply zenon_H229.
% 11.29/11.47 rewrite <- zenon_D_pnotp.
% 11.29/11.47 exact zenon_H90.
% 11.29/11.47 cut (((e1) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H22a].
% 11.29/11.47 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a].
% 11.29/11.47 congruence.
% 11.29/11.47 apply zenon_H11a. apply refl_equal.
% 11.29/11.47 apply zenon_H22a. apply sym_equal. exact zenon_H88.
% 11.29/11.47 apply zenon_H11a. apply refl_equal.
% 11.29/11.47 apply zenon_H11a. apply refl_equal.
% 11.29/11.47 (* end of lemma zenon_L391_ *)
% 11.29/11.47 assert (zenon_L392_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H1d5 zenon_H20 zenon_H72 zenon_H228 zenon_H88 zenon_H18a zenon_H30 zenon_He5 zenon_He6.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H47 | zenon_intro zenon_H1d6 ].
% 11.29/11.47 apply (zenon_L182_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H90 | zenon_intro zenon_H1d7 ].
% 11.29/11.47 apply (zenon_L391_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H118 | zenon_intro zenon_He7 ].
% 11.29/11.47 apply (zenon_L245_); trivial.
% 11.29/11.47 apply (zenon_L72_); trivial.
% 11.29/11.47 (* end of lemma zenon_L392_ *)
% 11.29/11.47 assert (zenon_L393_ : (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H125 zenon_H88 zenon_H1d9.
% 11.29/11.47 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e3) (e2)))).
% 11.29/11.47 intro zenon_D_pnotp.
% 11.29/11.47 apply zenon_H125.
% 11.29/11.47 rewrite <- zenon_D_pnotp.
% 11.29/11.47 exact zenon_H88.
% 11.29/11.47 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1da].
% 11.29/11.47 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H12a].
% 11.29/11.47 congruence.
% 11.29/11.47 apply zenon_H12a. apply refl_equal.
% 11.29/11.47 apply zenon_H1da. apply sym_equal. exact zenon_H1d9.
% 11.29/11.47 (* end of lemma zenon_L393_ *)
% 11.29/11.47 assert (zenon_L394_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H113 zenon_H79 zenon_H10b zenon_H2c zenon_H216 zenon_H1ca zenon_H15a zenon_H141 zenon_Hed zenon_H18a zenon_H117 zenon_H14f zenon_H154 zenon_H125 zenon_H1d5 zenon_H228 zenon_H30 zenon_He5 zenon_H9a zenon_H1f0 zenon_H88 zenon_H20 zenon_H61 zenon_H72.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.29/11.47 apply (zenon_L354_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ].
% 11.29/11.47 apply (zenon_L41_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ].
% 11.29/11.47 apply (zenon_L392_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ].
% 11.29/11.47 apply (zenon_L393_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H7a | zenon_intro zenon_H155 ].
% 11.29/11.47 apply (zenon_L135_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H90 | zenon_intro zenon_H156 ].
% 11.29/11.47 apply (zenon_L248_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 11.29/11.47 apply (zenon_L332_); trivial.
% 11.29/11.47 apply (zenon_L120_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.29/11.47 apply (zenon_L92_); trivial.
% 11.29/11.47 apply (zenon_L335_); trivial.
% 11.29/11.47 (* end of lemma zenon_L394_ *)
% 11.29/11.47 assert (zenon_L395_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.29/11.47 do 0 intro. intros zenon_H1d5 zenon_H20 zenon_H72 zenon_H228 zenon_H88 zenon_H18a zenon_H30 zenon_H15d zenon_H99.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H47 | zenon_intro zenon_H1d6 ].
% 11.29/11.47 apply (zenon_L182_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H90 | zenon_intro zenon_H1d7 ].
% 11.29/11.47 apply (zenon_L391_); trivial.
% 11.29/11.47 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H118 | zenon_intro zenon_He7 ].
% 11.29/11.48 apply (zenon_L245_); trivial.
% 11.29/11.48 apply (zenon_L262_); trivial.
% 11.29/11.48 (* end of lemma zenon_L395_ *)
% 11.29/11.48 assert (zenon_L396_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.29/11.48 do 0 intro. intros zenon_H4c zenon_H13f zenon_H68 zenon_H69 zenon_H15d zenon_H30 zenon_H18a zenon_H88 zenon_H228 zenon_H1d5 zenon_H49 zenon_H61 zenon_H1f0 zenon_He5 zenon_H125 zenon_H154 zenon_H14f zenon_H117 zenon_Hed zenon_H141 zenon_H15a zenon_H1ca zenon_H216 zenon_H10b zenon_H79 zenon_H113 zenon_H41 zenon_H8d zenon_H25 zenon_H27 zenon_Hb8 zenon_H16e zenon_H3c zenon_H13a zenon_H44 zenon_Hb7 zenon_H72 zenon_H20.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.29/11.48 apply (zenon_L129_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.29/11.48 apply (zenon_L3_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.29/11.48 apply (zenon_L211_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.29/11.48 apply (zenon_L387_); trivial.
% 11.29/11.48 apply (zenon_L180_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.29/11.48 apply (zenon_L389_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.29/11.48 apply (zenon_L325_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.29/11.48 apply (zenon_L3_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.29/11.48 apply (zenon_L3_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.29/11.48 apply (zenon_L390_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.29/11.48 apply (zenon_L108_); trivial.
% 11.29/11.48 apply (zenon_L394_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.29/11.48 apply (zenon_L6_); trivial.
% 11.29/11.48 apply (zenon_L213_); trivial.
% 11.29/11.48 apply (zenon_L395_); trivial.
% 11.29/11.48 apply (zenon_L182_); trivial.
% 11.29/11.48 (* end of lemma zenon_L396_ *)
% 11.29/11.48 assert (zenon_L397_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.29/11.48 do 0 intro. intros zenon_Hb8 zenon_H4f zenon_H8d zenon_H41 zenon_H95 zenon_H113 zenon_H79 zenon_H10b zenon_H2c zenon_H216 zenon_H1ca zenon_H15a zenon_H141 zenon_Hed zenon_H18a zenon_H117 zenon_H14f zenon_H154 zenon_H125 zenon_H1d5 zenon_H228 zenon_H30 zenon_He5 zenon_H1f0 zenon_H88 zenon_H20 zenon_H61 zenon_H72.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.29/11.48 apply (zenon_L160_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.29/11.48 apply (zenon_L390_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.29/11.48 apply (zenon_L334_); trivial.
% 11.29/11.48 apply (zenon_L394_); trivial.
% 11.29/11.48 (* end of lemma zenon_L397_ *)
% 11.29/11.48 assert (zenon_L398_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.29/11.48 do 0 intro. intros zenon_H15a zenon_H57 zenon_H1ca zenon_Hc5 zenon_H157 zenon_H68 zenon_H79.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ].
% 11.29/11.48 apply (zenon_L232_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ].
% 11.29/11.48 apply (zenon_L239_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ].
% 11.29/11.48 exact (zenon_H68 zenon_H6c).
% 11.29/11.48 exact (zenon_H79 zenon_H78).
% 11.29/11.48 (* end of lemma zenon_L398_ *)
% 11.29/11.48 assert (zenon_L399_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (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) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.29/11.48 do 0 intro. intros zenon_H4c zenon_H157 zenon_H34 zenon_Hb8 zenon_H95 zenon_H113 zenon_H117 zenon_H14f zenon_H154 zenon_H125 zenon_H1f0 zenon_H61 zenon_H15d zenon_H30 zenon_H18a zenon_H88 zenon_H228 zenon_H1d5 zenon_H105 zenon_H79 zenon_H68 zenon_H10b zenon_H1ca zenon_H57 zenon_H15a zenon_H216 zenon_Hc4 zenon_He5 zenon_H8d zenon_H3c zenon_Hed zenon_H141 zenon_H49 zenon_H13a zenon_H41 zenon_H44 zenon_H27 zenon_Hb7 zenon_H72 zenon_H20.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.29/11.48 apply (zenon_L160_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.29/11.48 apply (zenon_L397_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.29/11.48 apply (zenon_L58_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.29/11.48 apply (zenon_L130_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.29/11.48 apply (zenon_L304_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.29/11.48 apply (zenon_L398_); trivial.
% 11.29/11.48 apply (zenon_L392_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.29/11.48 apply (zenon_L13_); trivial.
% 11.29/11.48 apply (zenon_L379_); trivial.
% 11.29/11.48 apply (zenon_L180_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.29/11.48 apply (zenon_L326_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.29/11.48 apply (zenon_L389_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.29/11.48 apply (zenon_L325_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.29/11.48 apply (zenon_L326_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.29/11.48 apply (zenon_L304_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.29/11.48 apply (zenon_L53_); trivial.
% 11.29/11.48 apply (zenon_L392_); trivial.
% 11.29/11.48 apply (zenon_L395_); trivial.
% 11.29/11.48 apply (zenon_L182_); trivial.
% 11.29/11.48 (* end of lemma zenon_L399_ *)
% 11.29/11.48 assert (zenon_L400_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.29/11.48 do 0 intro. intros zenon_H113 zenon_H34 zenon_H75 zenon_H117 zenon_H18a zenon_H13f zenon_H2f zenon_H68 zenon_H8d zenon_H41 zenon_H79 zenon_Hed zenon_H141 zenon_H69 zenon_H88 zenon_H20 zenon_H61 zenon_H72.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.29/11.48 apply (zenon_L118_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.29/11.48 apply (zenon_L384_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.29/11.48 apply (zenon_L92_); trivial.
% 11.29/11.48 apply (zenon_L335_); trivial.
% 11.29/11.48 (* end of lemma zenon_L400_ *)
% 11.29/11.48 assert (zenon_L401_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e3) (e3)) = (e3))/\(((~((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) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.29/11.48 do 0 intro. intros zenon_H4c zenon_H161 zenon_H34 zenon_H15f zenon_Hb8 zenon_H95 zenon_H216 zenon_H14f zenon_H154 zenon_H125 zenon_He5 zenon_H1f0 zenon_H61 zenon_H69 zenon_H68 zenon_H13f zenon_H117 zenon_H15a zenon_H1ca zenon_H10b zenon_H113 zenon_H16e zenon_H15d zenon_H30 zenon_H18a zenon_H88 zenon_H228 zenon_H1d5 zenon_H6e zenon_H8d zenon_H79 zenon_H3c zenon_Hed zenon_H141 zenon_H49 zenon_H13a zenon_H41 zenon_H44 zenon_H27 zenon_Hb7 zenon_H72 zenon_H20.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.29/11.48 apply (zenon_L160_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.29/11.48 apply (zenon_L397_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.29/11.48 apply (zenon_L58_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.29/11.48 apply (zenon_L400_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.29/11.48 apply (zenon_L161_); trivial.
% 11.29/11.48 apply (zenon_L142_); trivial.
% 11.29/11.48 apply (zenon_L180_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.29/11.48 apply (zenon_L160_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.29/11.48 apply (zenon_L211_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.29/11.48 apply (zenon_L387_); trivial.
% 11.29/11.48 apply (zenon_L213_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.29/11.48 apply (zenon_L325_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.29/11.48 apply (zenon_L29_); trivial.
% 11.29/11.48 apply (zenon_L395_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.29/11.48 apply (zenon_L389_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.29/11.48 apply (zenon_L325_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.29/11.48 apply (zenon_L29_); trivial.
% 11.29/11.48 apply (zenon_L395_); trivial.
% 11.29/11.48 apply (zenon_L182_); trivial.
% 11.29/11.48 (* end of lemma zenon_L401_ *)
% 11.29/11.48 assert (zenon_L402_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.29/11.48 do 0 intro. intros zenon_Hb8 zenon_H30 zenon_H4f zenon_H72 zenon_H61 zenon_H20 zenon_H88 zenon_H8d zenon_H41 zenon_H79 zenon_Hed zenon_H141 zenon_H15a zenon_H1ca zenon_H216 zenon_H2c zenon_H10b zenon_H113 zenon_H95 zenon_H18a zenon_Hc3 zenon_H27.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.29/11.48 apply (zenon_L160_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.29/11.48 apply (zenon_L390_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.29/11.48 apply (zenon_L334_); trivial.
% 11.29/11.48 apply (zenon_L51_); trivial.
% 11.29/11.48 (* end of lemma zenon_L402_ *)
% 11.29/11.48 assert (zenon_L403_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.29/11.48 do 0 intro. intros zenon_H11b zenon_H3c zenon_H1f zenon_Hcb zenon_H152 zenon_Hcc zenon_H30 zenon_H18a.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.29/11.48 apply (zenon_L136_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.29/11.48 apply (zenon_L330_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.29/11.48 apply (zenon_L242_); trivial.
% 11.29/11.48 apply (zenon_L245_); trivial.
% 11.29/11.48 (* end of lemma zenon_L403_ *)
% 11.29/11.48 assert (zenon_L404_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e3)) -> ((op (e1) (e0)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.29/11.48 do 0 intro. intros zenon_H15a zenon_H89 zenon_H58 zenon_He6 zenon_H1f3 zenon_H68 zenon_H79.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ].
% 11.29/11.48 apply (zenon_L291_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ].
% 11.29/11.48 apply (zenon_L278_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ].
% 11.29/11.48 exact (zenon_H68 zenon_H6c).
% 11.29/11.48 exact (zenon_H79 zenon_H78).
% 11.29/11.48 (* end of lemma zenon_L404_ *)
% 11.29/11.48 assert (zenon_L405_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.29/11.48 do 0 intro. intros zenon_H8d zenon_H34 zenon_H57 zenon_H79 zenon_H68 zenon_H1f3 zenon_He6 zenon_H58 zenon_H15a zenon_Hed zenon_H141.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.29/11.48 apply (zenon_L118_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.29/11.48 exact (zenon_H79 zenon_H78).
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.29/11.48 apply (zenon_L404_); trivial.
% 11.29/11.48 apply (zenon_L120_); trivial.
% 11.29/11.48 (* end of lemma zenon_L405_ *)
% 11.29/11.48 assert (zenon_L406_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 11.29/11.48 do 0 intro. intros zenon_H49 zenon_H10b zenon_H27 zenon_Hc3 zenon_H95 zenon_H44 zenon_H15d zenon_H15f zenon_H113 zenon_H16a zenon_H105 zenon_H30 zenon_Hcb zenon_H3c zenon_H11b zenon_H216 zenon_H157 zenon_H1ca zenon_H68 zenon_H1f3 zenon_H15a zenon_H69 zenon_H13f zenon_H117 zenon_H203 zenon_H141 zenon_Hed zenon_H79 zenon_H8d zenon_H88 zenon_H20 zenon_H61 zenon_H4f zenon_H161 zenon_H41 zenon_H72 zenon_H34 zenon_Hb8 zenon_H18a zenon_H16e.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.29/11.48 apply (zenon_L160_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.29/11.48 apply (zenon_L402_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.29/11.48 apply (zenon_L160_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.29/11.48 apply (zenon_L58_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.29/11.48 apply (zenon_L58_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.29/11.48 apply (zenon_L31_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.29/11.48 apply (zenon_L8_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.29/11.48 apply (zenon_L384_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.29/11.48 apply (zenon_L403_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.29/11.48 apply (zenon_L304_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.29/11.48 apply (zenon_L398_); trivial.
% 11.29/11.48 apply (zenon_L405_); trivial.
% 11.29/11.48 apply (zenon_L258_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.29/11.48 apply (zenon_L292_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.29/11.48 apply (zenon_L92_); trivial.
% 11.29/11.48 apply (zenon_L335_); trivial.
% 11.29/11.48 apply (zenon_L142_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.29/11.48 apply (zenon_L13_); trivial.
% 11.29/11.48 apply (zenon_L379_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.29/11.48 apply (zenon_L334_); trivial.
% 11.29/11.48 apply (zenon_L51_); trivial.
% 11.29/11.48 apply (zenon_L213_); trivial.
% 11.29/11.48 (* end of lemma zenon_L406_ *)
% 11.29/11.48 assert (zenon_L407_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.29/11.48 do 0 intro. intros zenon_Hb8 zenon_H2b zenon_H72 zenon_H61 zenon_H20 zenon_H88 zenon_H8d zenon_H41 zenon_H79 zenon_Hed zenon_H141 zenon_H15a zenon_H1ca zenon_H216 zenon_H2c zenon_H10b zenon_H113 zenon_H95 zenon_H18a zenon_Hc3 zenon_H27.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.29/11.48 exact (zenon_H2b zenon_H26).
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.29/11.48 apply (zenon_L390_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.29/11.48 apply (zenon_L334_); trivial.
% 11.29/11.48 apply (zenon_L51_); trivial.
% 11.29/11.48 (* end of lemma zenon_L407_ *)
% 11.29/11.48 assert (zenon_L408_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.29/11.48 do 0 intro. intros zenon_H12d zenon_Hc4 zenon_Hb7 zenon_H13a zenon_H1d5 zenon_H228 zenon_H1f0 zenon_He5 zenon_H125 zenon_H154 zenon_H14f zenon_H4c zenon_H34 zenon_H161 zenon_H203 zenon_H1f3 zenon_H157 zenon_H11b zenon_H3c zenon_Hcb zenon_H105 zenon_H16a zenon_H15f zenon_H15d zenon_H44 zenon_H117 zenon_H13f zenon_H68 zenon_H69 zenon_H16e zenon_H18a zenon_H30 zenon_Hb8 zenon_H2b zenon_H61 zenon_H88 zenon_H8d zenon_H41 zenon_H79 zenon_Hed zenon_H141 zenon_H15a zenon_H1ca zenon_H216 zenon_H10b zenon_H113 zenon_H95 zenon_H27 zenon_H49 zenon_H72 zenon_H20.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.29/11.48 apply (zenon_L396_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.29/11.48 apply (zenon_L399_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.29/11.48 apply (zenon_L401_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.29/11.48 apply (zenon_L406_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.29/11.48 exact (zenon_H2b zenon_H26).
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.29/11.48 apply (zenon_L407_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.29/11.48 apply (zenon_L387_); trivial.
% 11.29/11.48 apply (zenon_L180_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.29/11.48 exact (zenon_H2b zenon_H26).
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.29/11.48 apply (zenon_L407_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.29/11.48 apply (zenon_L6_); trivial.
% 11.29/11.48 apply (zenon_L213_); trivial.
% 11.29/11.48 apply (zenon_L182_); trivial.
% 11.29/11.48 (* end of lemma zenon_L408_ *)
% 11.29/11.48 assert (zenon_L409_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (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) (e1)) = (op (e3) (e1)))) -> (~((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)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> False).
% 11.29/11.48 do 0 intro. intros zenon_H18f zenon_H71 zenon_H1b8 zenon_H148 zenon_H222 zenon_H1d8 zenon_H223 zenon_H1c1 zenon_H1a2 zenon_Hfb zenon_H10e zenon_H38 zenon_H12d zenon_Hc4 zenon_Hb7 zenon_H13a zenon_H1d5 zenon_H228 zenon_H1f0 zenon_He5 zenon_H125 zenon_H154 zenon_H14f zenon_H4c zenon_H34 zenon_H161 zenon_H203 zenon_H1f3 zenon_H157 zenon_H11b zenon_H3c zenon_Hcb zenon_H105 zenon_H16a zenon_H15f zenon_H15d zenon_H44 zenon_H117 zenon_H13f zenon_H68 zenon_H69 zenon_H16e zenon_H18a zenon_H30 zenon_Hb8 zenon_H2b zenon_H61 zenon_H88 zenon_H8d zenon_H41 zenon_H79 zenon_Hed zenon_H141 zenon_H15a zenon_H1ca zenon_H216 zenon_H10b zenon_H113 zenon_H95 zenon_H27 zenon_H49 zenon_H20.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.29/11.48 apply (zenon_L129_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.29/11.48 apply (zenon_L214_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.29/11.48 apply (zenon_L216_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.29/11.48 apply (zenon_L129_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.29/11.48 apply (zenon_L106_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.29/11.48 exact (zenon_H2b zenon_H26).
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.29/11.48 exact (zenon_H2b zenon_H26).
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.29/11.48 apply (zenon_L352_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.29/11.48 apply (zenon_L108_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.29/11.48 exact (zenon_H38 zenon_H33).
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.29/11.48 apply (zenon_L118_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.29/11.48 apply (zenon_L292_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.29/11.48 exact (zenon_H68 zenon_H6c).
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.29/11.48 apply (zenon_L360_); trivial.
% 11.29/11.48 apply (zenon_L332_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.29/11.48 apply (zenon_L92_); trivial.
% 11.29/11.48 apply (zenon_L365_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.29/11.48 apply (zenon_L136_); trivial.
% 11.29/11.48 apply (zenon_L302_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.29/11.48 apply (zenon_L385_); trivial.
% 11.29/11.48 apply (zenon_L15_); trivial.
% 11.29/11.48 apply (zenon_L386_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.29/11.48 apply (zenon_L377_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.29/11.48 apply (zenon_L295_); trivial.
% 11.29/11.48 apply (zenon_L408_); trivial.
% 11.29/11.48 (* end of lemma zenon_L409_ *)
% 11.29/11.48 assert (zenon_L410_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.29/11.48 do 0 intro. intros zenon_H8d zenon_H201 zenon_He2 zenon_H10e zenon_H2e zenon_Hf3 zenon_H79 zenon_H3c zenon_H88 zenon_Hed zenon_H141.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.29/11.48 apply (zenon_L9_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.29/11.48 apply (zenon_L229_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.29/11.48 exact (zenon_He2 zenon_He1).
% 11.29/11.48 exact (zenon_H201 zenon_Hec).
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.29/11.48 exact (zenon_H79 zenon_H78).
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.29/11.48 apply (zenon_L35_); trivial.
% 11.29/11.48 apply (zenon_L120_); trivial.
% 11.29/11.48 (* end of lemma zenon_L410_ *)
% 11.29/11.48 assert (zenon_L411_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((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)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.29/11.48 do 0 intro. intros zenon_H4c zenon_H44 zenon_H34 zenon_H27 zenon_H41 zenon_Heb zenon_H30 zenon_H2b zenon_H49 zenon_H141 zenon_Hed zenon_H88 zenon_H3c zenon_H79 zenon_Hf3 zenon_H10e zenon_He2 zenon_H201 zenon_H8d zenon_H72 zenon_H20.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.29/11.48 apply (zenon_L381_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.29/11.48 apply (zenon_L382_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.29/11.48 apply (zenon_L410_); trivial.
% 11.29/11.48 apply (zenon_L182_); trivial.
% 11.29/11.48 (* end of lemma zenon_L411_ *)
% 11.29/11.48 assert (zenon_L412_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (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))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e3)) = (e3))/\(((~((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) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((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)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> False).
% 11.29/11.48 do 0 intro. intros zenon_H18f zenon_H113 zenon_He3 zenon_Hb8 zenon_H71 zenon_H95 zenon_H16e zenon_H194 zenon_H223 zenon_H1d8 zenon_H222 zenon_He5 zenon_H1e2 zenon_H122 zenon_H14f zenon_H16a zenon_H38 zenon_H161 zenon_Hfb zenon_H228 zenon_H1a2 zenon_H1c1 zenon_H154 zenon_H61 zenon_H117 zenon_H148 zenon_H69 zenon_H1b8 zenon_H226 zenon_H167 zenon_H1ca zenon_H15d zenon_Hb7 zenon_H13a zenon_H1aa zenon_H197 zenon_H212 zenon_H92 zenon_Hb9 zenon_H5c zenon_Hcb zenon_H106 zenon_H11b zenon_H16c zenon_H68 zenon_H1f3 zenon_H10b zenon_H15a zenon_H157 zenon_H216 zenon_H105 zenon_H15f zenon_H4c zenon_H44 zenon_H34 zenon_H27 zenon_H41 zenon_Heb zenon_H30 zenon_H2b zenon_H49 zenon_H141 zenon_Hed zenon_H88 zenon_H3c zenon_H79 zenon_Hf3 zenon_H10e zenon_He2 zenon_H201 zenon_H8d zenon_H20.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.29/11.48 apply (zenon_L129_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.29/11.48 apply (zenon_L349_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.29/11.48 apply (zenon_L410_); trivial.
% 11.29/11.48 apply (zenon_L375_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.29/11.48 apply (zenon_L377_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.29/11.48 apply (zenon_L378_); trivial.
% 11.29/11.48 apply (zenon_L411_); trivial.
% 11.29/11.48 (* end of lemma zenon_L412_ *)
% 11.29/11.48 assert (zenon_L413_ : ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (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)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (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 (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (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 (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 11.29/11.48 do 0 intro. intros zenon_H200 zenon_Hb7 zenon_H105 zenon_H16a zenon_H157 zenon_H13f zenon_H69 zenon_H44 zenon_H49 zenon_H27 zenon_H161 zenon_H113 zenon_H212 zenon_H8d zenon_H187 zenon_H30 zenon_Hb8 zenon_H3c zenon_H41 zenon_H34 zenon_H216 zenon_H68 zenon_H1ca zenon_H15a zenon_H88 zenon_H10e zenon_H20 zenon_H1c1 zenon_H18f zenon_H13a zenon_H16c zenon_H148 zenon_He5 zenon_H11b zenon_Hf3 zenon_Heb zenon_H197 zenon_H154 zenon_H61 zenon_H95 zenon_H16e zenon_H117 zenon_H194 zenon_H92 zenon_H1aa zenon_Hb9 zenon_H5c zenon_Hcb zenon_H14f zenon_H10b zenon_H106 zenon_He3 zenon_H167 zenon_H141 zenon_H1b0 zenon_H1d8 zenon_H1f3 zenon_H1e2 zenon_H1f0 zenon_H1df zenon_Hf6 zenon_Hb0 zenon_H15d zenon_Hf0 zenon_H122 zenon_H71 zenon_H2b zenon_H226 zenon_Hfb zenon_H223 zenon_H222 zenon_H1a2 zenon_H1b8 zenon_H228 zenon_H4c zenon_H1d5 zenon_H125 zenon_Hc4 zenon_H203 zenon_H12d.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H201 ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.29/11.48 apply (zenon_L323_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.29/11.48 apply (zenon_L324_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.29/11.48 apply (zenon_L225_); trivial.
% 11.29/11.48 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160.
% 11.29/11.48 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3.
% 11.29/11.48 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5.
% 11.29/11.48 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.29/11.48 apply (zenon_L129_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.29/11.48 apply (zenon_L349_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.29/11.48 apply (zenon_L351_); trivial.
% 11.29/11.48 apply (zenon_L375_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.29/11.48 apply (zenon_L377_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.29/11.48 apply (zenon_L378_); trivial.
% 11.29/11.48 apply (zenon_L383_); trivial.
% 11.29/11.48 apply (zenon_L409_); trivial.
% 11.29/11.48 apply (zenon_L391_); trivial.
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.29/11.48 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.33/11.49 apply (zenon_L383_); trivial.
% 11.33/11.49 apply (zenon_L408_); trivial.
% 11.33/11.49 apply (zenon_L391_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.33/11.49 apply (zenon_L323_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.33/11.49 apply (zenon_L324_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.33/11.49 apply (zenon_L225_); trivial.
% 11.33/11.49 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160.
% 11.33/11.49 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3.
% 11.33/11.49 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5.
% 11.33/11.49 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.33/11.49 apply (zenon_L412_); trivial.
% 11.33/11.49 apply (zenon_L409_); trivial.
% 11.33/11.49 apply (zenon_L391_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.33/11.49 apply (zenon_L411_); trivial.
% 11.33/11.49 apply (zenon_L408_); trivial.
% 11.33/11.49 apply (zenon_L391_); trivial.
% 11.33/11.49 (* end of lemma zenon_L413_ *)
% 11.33/11.49 assert (zenon_L414_ : ((~((op (e1) (e1)) = (e2)))\/(~((op (e1) (e2)) = (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (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)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (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 (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (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 (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H22b zenon_H200 zenon_Hb7 zenon_H105 zenon_H16a zenon_H157 zenon_H13f zenon_H69 zenon_H44 zenon_H49 zenon_H27 zenon_H161 zenon_H113 zenon_H212 zenon_H8d zenon_H187 zenon_H30 zenon_Hb8 zenon_H3c zenon_H41 zenon_H34 zenon_H216 zenon_H1ca zenon_H15a zenon_H88 zenon_H10e zenon_H20 zenon_H18f zenon_H13a zenon_H16c zenon_H148 zenon_He5 zenon_H11b zenon_Hf3 zenon_Heb zenon_H197 zenon_H154 zenon_H61 zenon_H95 zenon_H16e zenon_H117 zenon_H194 zenon_H92 zenon_H1aa zenon_Hb9 zenon_H5c zenon_Hcb zenon_H14f zenon_H10b zenon_H106 zenon_He3 zenon_H167 zenon_H141 zenon_H1b0 zenon_H1d8 zenon_H1f3 zenon_H1e2 zenon_H1f0 zenon_H1df zenon_Hf6 zenon_Hb0 zenon_H15d zenon_Hf0 zenon_H122 zenon_H71 zenon_H2b zenon_H226 zenon_Hfb zenon_H223 zenon_H222 zenon_H1a2 zenon_H1b8 zenon_H228 zenon_H4c zenon_H1d5 zenon_H125 zenon_Hc4 zenon_H203 zenon_H12d zenon_H202.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H68 | zenon_intro zenon_H22c ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c1 ].
% 11.33/11.49 apply (zenon_L413_); trivial.
% 11.33/11.49 apply (zenon_L413_); trivial.
% 11.33/11.49 exact (zenon_H22c zenon_H88).
% 11.33/11.49 (* end of lemma zenon_L414_ *)
% 11.33/11.49 assert (zenon_L415_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H1a2 zenon_H41 zenon_H152 zenon_Hc5 zenon_H30 zenon_H1c1 zenon_H3f zenon_H16e.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ].
% 11.33/11.49 apply (zenon_L233_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ].
% 11.33/11.49 apply (zenon_L95_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ].
% 11.33/11.49 exact (zenon_H1c1 zenon_H5a).
% 11.33/11.49 apply (zenon_L213_); trivial.
% 11.33/11.49 (* end of lemma zenon_L415_ *)
% 11.33/11.49 assert (zenon_L416_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H101 zenon_Hd0 zenon_Hf7.
% 11.33/11.49 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e3) (e2)))).
% 11.33/11.49 intro zenon_D_pnotp.
% 11.33/11.49 apply zenon_H101.
% 11.33/11.49 rewrite <- zenon_D_pnotp.
% 11.33/11.49 exact zenon_Hd0.
% 11.33/11.49 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf8].
% 11.33/11.49 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H140].
% 11.33/11.49 congruence.
% 11.33/11.49 apply zenon_H140. apply refl_equal.
% 11.33/11.49 apply zenon_Hf8. apply sym_equal. exact zenon_Hf7.
% 11.33/11.49 (* end of lemma zenon_L416_ *)
% 11.33/11.49 assert (zenon_L417_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e3)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((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) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H105 zenon_H3c zenon_H39 zenon_H14f zenon_H90 zenon_H16e zenon_H3f zenon_H1c1 zenon_H30 zenon_H152 zenon_H41 zenon_H1a2 zenon_H1db zenon_Hd0 zenon_H101 zenon_H1d8 zenon_H9a zenon_Hf6 zenon_H201.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.33/11.49 apply (zenon_L130_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.33/11.49 apply (zenon_L247_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.33/11.49 apply (zenon_L415_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1dc ].
% 11.33/11.49 apply (zenon_L416_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1dd ].
% 11.33/11.49 apply (zenon_L255_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hae | zenon_intro zenon_Hec ].
% 11.33/11.49 apply (zenon_L256_); trivial.
% 11.33/11.49 exact (zenon_H201 zenon_Hec).
% 11.33/11.49 (* end of lemma zenon_L417_ *)
% 11.33/11.49 assert (zenon_L418_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e1)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H161 zenon_H38 zenon_H34 zenon_H57 zenon_H201 zenon_Hf6 zenon_H1d8 zenon_H101 zenon_Hd0 zenon_H1db zenon_H1a2 zenon_H30 zenon_H1c1 zenon_H3f zenon_H16e zenon_H90 zenon_H14f zenon_H39 zenon_H3c zenon_H105 zenon_H41 zenon_H9a.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.49 apply (zenon_L118_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.49 apply (zenon_L417_); trivial.
% 11.33/11.49 apply (zenon_L302_); trivial.
% 11.33/11.49 (* end of lemma zenon_L418_ *)
% 11.33/11.49 assert (zenon_L419_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H44 zenon_H9a zenon_H41 zenon_H105 zenon_H3c zenon_H14f zenon_H90 zenon_H16e zenon_H3f zenon_H1c1 zenon_H30 zenon_H1a2 zenon_H1db zenon_H101 zenon_H1d8 zenon_Hf6 zenon_H201 zenon_H57 zenon_H38 zenon_H161 zenon_H34 zenon_Hd0 zenon_Hed zenon_H13a.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.49 apply (zenon_L418_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.49 apply (zenon_L59_); trivial.
% 11.33/11.49 apply (zenon_L113_); trivial.
% 11.33/11.49 (* end of lemma zenon_L419_ *)
% 11.33/11.49 assert (zenon_L420_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H13a zenon_H3f zenon_Hb4.
% 11.33/11.49 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (e3)) = (op (e3) (e3)))).
% 11.33/11.49 intro zenon_D_pnotp.
% 11.33/11.49 apply zenon_H13a.
% 11.33/11.49 rewrite <- zenon_D_pnotp.
% 11.33/11.49 exact zenon_H3f.
% 11.33/11.49 cut (((e2) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 11.33/11.49 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 11.33/11.49 congruence.
% 11.33/11.49 apply zenon_H64. apply refl_equal.
% 11.33/11.49 apply zenon_Hea. apply sym_equal. exact zenon_Hb4.
% 11.33/11.49 (* end of lemma zenon_L420_ *)
% 11.33/11.49 assert (zenon_L421_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((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) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e3)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e3)) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (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 (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H1d5 zenon_Hcb zenon_H4f zenon_H49 zenon_H20 zenon_H154 zenon_H117 zenon_H61 zenon_H141 zenon_H65 zenon_H11b zenon_H157 zenon_H167 zenon_He2 zenon_He3 zenon_Hfa zenon_H27 zenon_H68 zenon_H39 zenon_H106 zenon_Hb0 zenon_Hed zenon_Hd0 zenon_H34 zenon_H161 zenon_H38 zenon_H57 zenon_H201 zenon_H1d8 zenon_H101 zenon_H1db zenon_H30 zenon_H90 zenon_H14f zenon_H3c zenon_H105 zenon_H44 zenon_H16e zenon_H1c1 zenon_H1cb zenon_H152 zenon_H41 zenon_H1a2 zenon_H15d zenon_H15f zenon_Hf6 zenon_H16a zenon_H120 zenon_H1df zenon_H13a zenon_H3f.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.33/11.49 apply (zenon_L130_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.33/11.49 apply (zenon_L252_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.33/11.49 apply (zenon_L253_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.33/11.49 apply (zenon_L419_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.33/11.49 apply (zenon_L235_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.33/11.49 apply (zenon_L259_); trivial.
% 11.33/11.49 apply (zenon_L420_); trivial.
% 11.33/11.49 (* end of lemma zenon_L421_ *)
% 11.33/11.49 assert (zenon_L422_ : (((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 (e3) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (((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)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H44 zenon_H38 zenon_He3 zenon_Hed zenon_He2 zenon_Hcb zenon_Hb5 zenon_H167 zenon_H34 zenon_Hd0 zenon_H3f zenon_H41.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.49 apply (zenon_L243_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.49 apply (zenon_L59_); trivial.
% 11.33/11.49 apply (zenon_L11_); trivial.
% 11.33/11.49 (* end of lemma zenon_L422_ *)
% 11.33/11.49 assert (zenon_L423_ : (~((e0) = (e1))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e0)) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H20 zenon_H6d zenon_H57.
% 11.33/11.49 cut (((op (e1) (e0)) = (e1)) = ((e0) = (e1))).
% 11.33/11.49 intro zenon_D_pnotp.
% 11.33/11.49 apply zenon_H20.
% 11.33/11.49 rewrite <- zenon_D_pnotp.
% 11.33/11.49 exact zenon_H6d.
% 11.33/11.49 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.33/11.49 cut (((op (e1) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H22d].
% 11.33/11.49 congruence.
% 11.33/11.49 exact (zenon_H22d zenon_H57).
% 11.33/11.49 apply zenon_H22. apply refl_equal.
% 11.33/11.49 (* end of lemma zenon_L423_ *)
% 11.33/11.49 assert (zenon_L424_ : (((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)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 11.33/11.49 do 0 intro. intros zenon_Hf3 zenon_H34 zenon_Hd0 zenon_H10c zenon_H58 zenon_He2 zenon_H201.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.33/11.49 apply (zenon_L59_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.33/11.49 apply (zenon_L291_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.33/11.49 exact (zenon_He2 zenon_He1).
% 11.33/11.49 exact (zenon_H201 zenon_Hec).
% 11.33/11.49 (* end of lemma zenon_L424_ *)
% 11.33/11.49 assert (zenon_L425_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e1) (e1)) = (e2)))\/(~((op (e1) (e2)) = (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (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) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (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 (e3) (e1)) = (op (e3) (e2)))) -> (~((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) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((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) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H187 zenon_H22b zenon_Hb7 zenon_H69 zenon_H212 zenon_H216 zenon_H15a zenon_H18f zenon_H16c zenon_H148 zenon_He5 zenon_H197 zenon_H95 zenon_H194 zenon_H92 zenon_H1aa zenon_Hb9 zenon_H5c zenon_H71 zenon_H226 zenon_Hfb zenon_H223 zenon_H222 zenon_H228 zenon_Hc4 zenon_H101 zenon_Hd0 zenon_H1b8 zenon_H4c zenon_H2b zenon_H44 zenon_H3c zenon_H34 zenon_H41 zenon_H27 zenon_H30 zenon_H49 zenon_H20 zenon_H10b zenon_H1c1 zenon_H12d zenon_H113 zenon_H13f zenon_H8d zenon_Hb8 zenon_H1ca zenon_H106 zenon_H1cb zenon_H16e zenon_H1a2 zenon_H68 zenon_H105 zenon_Hb0 zenon_H16a zenon_H1df zenon_H1d8 zenon_Hf6 zenon_H125 zenon_H1db zenon_H202 zenon_H1b0 zenon_H1f3 zenon_H1e2 zenon_H1f0 zenon_Hf0 zenon_H122 zenon_H200 zenon_Hcb zenon_He3 zenon_H167 zenon_H11b zenon_H157 zenon_H15d zenon_H161 zenon_H65 zenon_H14f zenon_H154 zenon_H61 zenon_H141 zenon_H117 zenon_H1d5 zenon_Hfa zenon_H203 zenon_H10e zenon_Heb zenon_Hf3 zenon_H13a zenon_H210.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H201 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.33/11.49 apply (zenon_L222_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.33/11.49 apply (zenon_L224_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.33/11.49 apply (zenon_L225_); trivial.
% 11.33/11.49 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160.
% 11.33/11.49 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3.
% 11.33/11.49 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5.
% 11.33/11.49 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.33/11.49 apply (zenon_L221_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.33/11.49 apply (zenon_L287_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.33/11.49 apply (zenon_L237_); trivial.
% 11.33/11.49 apply (zenon_L294_); trivial.
% 11.33/11.49 apply (zenon_L295_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.33/11.49 apply (zenon_L221_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.33/11.49 apply (zenon_L287_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.33/11.49 apply (zenon_L237_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.49 exact (zenon_H2b zenon_H26).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.49 apply (zenon_L228_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.49 apply (zenon_L57_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.33/11.49 exact (zenon_H2b zenon_H26).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.49 apply (zenon_L31_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.33/11.49 apply (zenon_L288_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.33/11.49 apply (zenon_L296_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.33/11.49 apply (zenon_L293_); trivial.
% 11.33/11.49 apply (zenon_L38_); trivial.
% 11.33/11.49 apply (zenon_L201_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.49 apply (zenon_L59_); trivial.
% 11.33/11.49 apply (zenon_L113_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.33/11.49 apply (zenon_L244_); trivial.
% 11.33/11.49 apply (zenon_L51_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.49 apply (zenon_L284_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.49 apply (zenon_L61_); trivial.
% 11.33/11.49 apply (zenon_L127_); trivial.
% 11.33/11.49 apply (zenon_L295_); trivial.
% 11.33/11.49 apply (zenon_L297_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.33/11.49 apply (zenon_L222_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.33/11.49 apply (zenon_L224_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.33/11.49 apply (zenon_L225_); trivial.
% 11.33/11.49 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160.
% 11.33/11.49 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3.
% 11.33/11.49 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5.
% 11.33/11.49 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.33/11.49 apply (zenon_L221_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.49 exact (zenon_H2b zenon_H26).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.49 apply (zenon_L228_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.49 apply (zenon_L57_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.33/11.49 exact (zenon_H2b zenon_H26).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.49 apply (zenon_L231_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.33/11.49 apply (zenon_L68_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.33/11.49 apply (zenon_L292_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.33/11.49 apply (zenon_L236_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.33/11.49 apply (zenon_L179_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.33/11.49 apply (zenon_L252_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.33/11.49 apply (zenon_L414_); trivial.
% 11.33/11.49 apply (zenon_L421_); trivial.
% 11.33/11.49 apply (zenon_L141_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.49 apply (zenon_L59_); trivial.
% 11.33/11.49 apply (zenon_L11_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.33/11.49 apply (zenon_L422_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.49 apply (zenon_L118_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.33/11.49 apply (zenon_L423_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.33/11.49 apply (zenon_L252_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.33/11.49 apply (zenon_L412_); trivial.
% 11.33/11.49 apply (zenon_L418_); trivial.
% 11.33/11.49 apply (zenon_L302_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.49 apply (zenon_L59_); trivial.
% 11.33/11.49 apply (zenon_L113_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.49 apply (zenon_L326_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.49 apply (zenon_L61_); trivial.
% 11.33/11.49 apply (zenon_L286_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.33/11.49 apply (zenon_L237_); trivial.
% 11.33/11.49 apply (zenon_L294_); trivial.
% 11.33/11.49 apply (zenon_L295_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.33/11.49 apply (zenon_L221_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.49 exact (zenon_H2b zenon_H26).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.49 apply (zenon_L228_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.49 apply (zenon_L57_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.33/11.49 exact (zenon_H2b zenon_H26).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.49 apply (zenon_L31_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.33/11.49 apply (zenon_L8_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.33/11.49 apply (zenon_L424_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.33/11.49 apply (zenon_L236_); trivial.
% 11.33/11.49 apply (zenon_L421_); trivial.
% 11.33/11.49 apply (zenon_L141_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.49 apply (zenon_L59_); trivial.
% 11.33/11.49 apply (zenon_L113_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.33/11.49 apply (zenon_L422_); trivial.
% 11.33/11.49 apply (zenon_L419_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.49 apply (zenon_L284_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.49 apply (zenon_L61_); trivial.
% 11.33/11.49 apply (zenon_L286_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.33/11.49 apply (zenon_L237_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.49 exact (zenon_H2b zenon_H26).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.49 apply (zenon_L228_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.49 apply (zenon_L57_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.33/11.49 exact (zenon_H2b zenon_H26).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.49 apply (zenon_L31_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.33/11.49 apply (zenon_L288_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.33/11.49 apply (zenon_L424_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.33/11.49 apply (zenon_L293_); trivial.
% 11.33/11.49 apply (zenon_L38_); trivial.
% 11.33/11.49 apply (zenon_L201_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.49 apply (zenon_L59_); trivial.
% 11.33/11.49 apply (zenon_L11_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.33/11.49 apply (zenon_L244_); trivial.
% 11.33/11.49 apply (zenon_L51_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.49 apply (zenon_L284_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.49 apply (zenon_L61_); trivial.
% 11.33/11.49 apply (zenon_L127_); trivial.
% 11.33/11.49 apply (zenon_L295_); trivial.
% 11.33/11.49 apply (zenon_L297_); trivial.
% 11.33/11.49 (* end of lemma zenon_L425_ *)
% 11.33/11.49 assert (zenon_L426_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e2)) = (e3)) -> False).
% 11.33/11.49 do 0 intro. intros zenon_Hc0 zenon_H152 zenon_He1.
% 11.33/11.49 cut (((op (e2) (e0)) = (e3)) = ((op (e2) (e0)) = (op (e2) (e2)))).
% 11.33/11.49 intro zenon_D_pnotp.
% 11.33/11.49 apply zenon_Hc0.
% 11.33/11.49 rewrite <- zenon_D_pnotp.
% 11.33/11.49 exact zenon_H152.
% 11.33/11.49 cut (((e3) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H19b].
% 11.33/11.49 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 11.33/11.49 congruence.
% 11.33/11.49 apply zenon_H98. apply refl_equal.
% 11.33/11.49 apply zenon_H19b. apply sym_equal. exact zenon_He1.
% 11.33/11.49 (* end of lemma zenon_L426_ *)
% 11.33/11.49 assert (zenon_L427_ : (((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) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e3)) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H19c zenon_Hd0 zenon_H65 zenon_Hcc zenon_H5c zenon_H5b zenon_Hc0 zenon_H152.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ].
% 11.33/11.49 apply (zenon_L165_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ].
% 11.33/11.49 apply (zenon_L242_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ].
% 11.33/11.49 apply (zenon_L21_); trivial.
% 11.33/11.49 apply (zenon_L426_); trivial.
% 11.33/11.49 (* end of lemma zenon_L427_ *)
% 11.33/11.49 assert (zenon_L428_ : (((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) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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) (e1)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e3)) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H19f zenon_H27 zenon_H5c zenon_H18a zenon_H192 zenon_H19c zenon_Hd0 zenon_H65 zenon_Hcc zenon_Had zenon_Hc0 zenon_H152.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H2f | zenon_intro zenon_H1a0 ].
% 11.33/11.49 apply (zenon_L57_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a1 ].
% 11.33/11.49 apply (zenon_L427_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H5a | zenon_intro zenon_Hae ].
% 11.33/11.49 apply (zenon_L186_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ].
% 11.33/11.49 apply (zenon_L165_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ].
% 11.33/11.49 apply (zenon_L242_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ].
% 11.33/11.49 apply (zenon_L46_); trivial.
% 11.33/11.49 apply (zenon_L426_); trivial.
% 11.33/11.49 (* end of lemma zenon_L428_ *)
% 11.33/11.49 assert (zenon_L429_ : (((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)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (((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) (e2)) = (op (e2) (e3)))) -> (((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) (e1)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e3)) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H1a2 zenon_H16c zenon_H58 zenon_H157 zenon_H6c zenon_H1c1 zenon_H19f zenon_H27 zenon_H5c zenon_H192 zenon_H19c zenon_Hd0 zenon_H65 zenon_Hcc zenon_Had zenon_Hc0 zenon_H152.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ].
% 11.33/11.49 apply (zenon_L343_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ].
% 11.33/11.49 apply (zenon_L139_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ].
% 11.33/11.49 exact (zenon_H1c1 zenon_H5a).
% 11.33/11.49 apply (zenon_L428_); trivial.
% 11.33/11.49 (* end of lemma zenon_L429_ *)
% 11.33/11.49 assert (zenon_L430_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (e1))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H22e zenon_H20 zenon_Hd0 zenon_H22c zenon_H152 zenon_Hcc zenon_H1d8 zenon_He6.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.33/11.49 apply (zenon_L61_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.33/11.49 exact (zenon_H22c zenon_H88).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.33/11.49 apply (zenon_L242_); trivial.
% 11.33/11.49 apply (zenon_L255_); trivial.
% 11.33/11.49 (* end of lemma zenon_L430_ *)
% 11.33/11.49 assert (zenon_L431_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((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) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (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) (e2)) = (e1))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H105 zenon_H3c zenon_H14f zenon_H90 zenon_H16e zenon_H3f zenon_H1c1 zenon_H1cb zenon_H41 zenon_H1a2 zenon_H30 zenon_H16c zenon_H58 zenon_H157 zenon_H19f zenon_H27 zenon_H5c zenon_H192 zenon_H19c zenon_H65 zenon_Had zenon_Hc0 zenon_H39 zenon_H106 zenon_H22e zenon_H20 zenon_Hd0 zenon_H22c zenon_H152 zenon_Hcc zenon_H1d8.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.33/11.49 apply (zenon_L130_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.33/11.49 apply (zenon_L247_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.33/11.49 apply (zenon_L65_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.33/11.49 apply (zenon_L429_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.33/11.49 apply (zenon_L95_); trivial.
% 11.33/11.49 apply (zenon_L235_); trivial.
% 11.33/11.49 apply (zenon_L430_); trivial.
% 11.33/11.49 (* end of lemma zenon_L431_ *)
% 11.33/11.49 assert (zenon_L432_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((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)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (~((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))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (e1))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H105 zenon_H34 zenon_H3c zenon_H38 zenon_H44 zenon_Hed zenon_H13a zenon_H2b zenon_H49 zenon_H14f zenon_H90 zenon_H16e zenon_H3f zenon_H1c1 zenon_H30 zenon_H41 zenon_H1a2 zenon_H22e zenon_H20 zenon_Hd0 zenon_H22c zenon_H152 zenon_Hcc zenon_H1d8.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.33/11.49 apply (zenon_L284_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.33/11.49 apply (zenon_L247_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.33/11.49 apply (zenon_L415_); trivial.
% 11.33/11.49 apply (zenon_L430_); trivial.
% 11.33/11.49 (* end of lemma zenon_L432_ *)
% 11.33/11.49 assert (zenon_L433_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e2) (e0)) = (e3)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((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)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H105 zenon_H39 zenon_H14f zenon_H90 zenon_H16e zenon_H3f zenon_H152 zenon_H1a2 zenon_Hf3 zenon_Hd0 zenon_H125 zenon_H9a zenon_H120 zenon_H1db zenon_He2 zenon_H1b0 zenon_H122 zenon_H34 zenon_H15d zenon_H16a zenon_Hf6 zenon_H1df zenon_H1e2 zenon_H1f0 zenon_H3c zenon_H1f3 zenon_Hb0 zenon_Hb1 zenon_H41 zenon_H30 zenon_Hf0 zenon_H1d8 zenon_H1c1 zenon_Heb.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.33/11.49 apply (zenon_L130_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.33/11.49 apply (zenon_L247_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.33/11.49 apply (zenon_L415_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.33/11.49 apply (zenon_L59_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.33/11.49 apply (zenon_L257_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.33/11.49 exact (zenon_He2 zenon_He1).
% 11.33/11.49 apply (zenon_L280_); trivial.
% 11.33/11.49 (* end of lemma zenon_L433_ *)
% 11.33/11.49 assert (zenon_L434_ : ((op (e3) (e0)) = (e2)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((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)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H9a zenon_H203 zenon_H57 zenon_H1ca zenon_H22c zenon_H20 zenon_H22e zenon_H49 zenon_H2b zenon_H13a zenon_Hed zenon_H44 zenon_H38 zenon_H105 zenon_H14f zenon_H90 zenon_H16e zenon_H1a2 zenon_Hf3 zenon_H125 zenon_H1db zenon_He2 zenon_H1b0 zenon_H122 zenon_H15d zenon_H16a zenon_Hf6 zenon_H1df zenon_H1e2 zenon_H1f0 zenon_H3c zenon_H1f3 zenon_Hb0 zenon_Hb1 zenon_H30 zenon_Hf0 zenon_H1d8 zenon_H1c1 zenon_Heb zenon_H161 zenon_H34 zenon_Hd0 zenon_H3f zenon_H41.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.49 apply (zenon_L118_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.33/11.49 apply (zenon_L8_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.33/11.49 apply (zenon_L232_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.33/11.49 apply (zenon_L432_); trivial.
% 11.33/11.49 apply (zenon_L433_); trivial.
% 11.33/11.49 apply (zenon_L302_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.49 apply (zenon_L59_); trivial.
% 11.33/11.49 apply (zenon_L11_); trivial.
% 11.33/11.49 (* end of lemma zenon_L434_ *)
% 11.33/11.49 assert (zenon_L435_ : (((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 (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H223 zenon_Hc3 zenon_H16a zenon_H56 zenon_H1f3 zenon_H2c zenon_H222 zenon_He5 zenon_Hed.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H120 | zenon_intro zenon_H224 ].
% 11.33/11.49 apply (zenon_L258_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He6 | zenon_intro zenon_H225 ].
% 11.33/11.49 apply (zenon_L278_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H147 ].
% 11.33/11.49 apply (zenon_L355_); trivial.
% 11.33/11.49 apply (zenon_L132_); trivial.
% 11.33/11.49 (* end of lemma zenon_L435_ *)
% 11.33/11.49 assert (zenon_L436_ : (((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 (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((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) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (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) (e2)) = (e1))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H92 zenon_H223 zenon_Hc3 zenon_H16a zenon_H1f3 zenon_H222 zenon_He5 zenon_Hed zenon_H105 zenon_H3c zenon_H14f zenon_H16e zenon_H3f zenon_H1c1 zenon_H1cb zenon_H41 zenon_H1a2 zenon_H30 zenon_H16c zenon_H58 zenon_H157 zenon_H19f zenon_H27 zenon_H5c zenon_H192 zenon_H19c zenon_H65 zenon_Had zenon_Hc0 zenon_H39 zenon_H106 zenon_H22e zenon_H20 zenon_Hd0 zenon_H22c zenon_H152 zenon_Hcc zenon_H1d8.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.33/11.49 apply (zenon_L26_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.33/11.49 apply (zenon_L435_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.33/11.49 apply (zenon_L429_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.33/11.49 apply (zenon_L164_); trivial.
% 11.33/11.49 apply (zenon_L235_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.33/11.49 exact (zenon_H22c zenon_H88).
% 11.33/11.49 apply (zenon_L431_); trivial.
% 11.33/11.49 (* end of lemma zenon_L436_ *)
% 11.33/11.49 assert (zenon_L437_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e1) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((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 (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((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).
% 11.33/11.49 do 0 intro. intros zenon_H203 zenon_H34 zenon_H57 zenon_H1ca zenon_H1d8 zenon_H152 zenon_H22c zenon_Hd0 zenon_H20 zenon_H22e zenon_H106 zenon_H39 zenon_Hc0 zenon_Had zenon_H65 zenon_H19c zenon_H192 zenon_H5c zenon_H27 zenon_H19f zenon_H157 zenon_H58 zenon_H16c zenon_H30 zenon_H1a2 zenon_H41 zenon_H1cb zenon_H1c1 zenon_H3f zenon_H16e zenon_H14f zenon_H3c zenon_H105 zenon_Hed zenon_He5 zenon_H222 zenon_H1f3 zenon_H223 zenon_H92 zenon_H16a zenon_Hc3.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.33/11.49 apply (zenon_L8_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.33/11.49 apply (zenon_L232_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.33/11.49 apply (zenon_L436_); trivial.
% 11.33/11.49 apply (zenon_L258_); trivial.
% 11.33/11.49 (* end of lemma zenon_L437_ *)
% 11.33/11.49 assert (zenon_L438_ : ((op (e3) (e0)) = (e3)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H15e zenon_H152 zenon_H226.
% 11.33/11.49 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_H213 | zenon_intro zenon_Hf9 ].
% 11.33/11.49 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e2) (e0)) = (op (e3) (e0)))).
% 11.33/11.49 intro zenon_D_pnotp.
% 11.33/11.49 apply zenon_H226.
% 11.33/11.49 rewrite <- zenon_D_pnotp.
% 11.33/11.49 exact zenon_H213.
% 11.33/11.49 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 11.33/11.49 cut (((op (e3) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H231].
% 11.33/11.49 congruence.
% 11.33/11.49 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e2) (e0)))).
% 11.33/11.49 intro zenon_D_pnotp.
% 11.33/11.49 apply zenon_H231.
% 11.33/11.49 rewrite <- zenon_D_pnotp.
% 11.33/11.49 exact zenon_H15e.
% 11.33/11.49 cut (((e3) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H232].
% 11.33/11.49 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 11.33/11.49 congruence.
% 11.33/11.49 apply zenon_Hf9. apply refl_equal.
% 11.33/11.49 apply zenon_H232. apply sym_equal. exact zenon_H152.
% 11.33/11.49 apply zenon_Hf9. apply refl_equal.
% 11.33/11.49 apply zenon_Hf9. apply refl_equal.
% 11.33/11.49 (* end of lemma zenon_L438_ *)
% 11.33/11.49 assert (zenon_L439_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((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) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (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) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H1df zenon_H92 zenon_H223 zenon_H1f3 zenon_H222 zenon_He5 zenon_Hed zenon_H105 zenon_H3c zenon_H14f zenon_H16e zenon_H3f zenon_H1c1 zenon_H1cb zenon_H41 zenon_H1a2 zenon_H30 zenon_H16c zenon_H58 zenon_H157 zenon_H19f zenon_H27 zenon_H5c zenon_H192 zenon_H19c zenon_H65 zenon_Had zenon_Hc0 zenon_H39 zenon_H106 zenon_H22e zenon_H20 zenon_Hd0 zenon_H22c zenon_H1d8 zenon_H1ca zenon_H57 zenon_H34 zenon_H203 zenon_He6 zenon_H16a zenon_Hae zenon_Hf6 zenon_H152 zenon_H226.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ].
% 11.33/11.49 apply (zenon_L437_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ].
% 11.33/11.49 apply (zenon_L146_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ].
% 11.33/11.49 apply (zenon_L256_); trivial.
% 11.33/11.49 apply (zenon_L438_); trivial.
% 11.33/11.49 (* end of lemma zenon_L439_ *)
% 11.33/11.49 assert (zenon_L440_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (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)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e2) (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 (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((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 (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H161 zenon_Heb zenon_Hf0 zenon_Hb0 zenon_H1f0 zenon_H1e2 zenon_H15d zenon_H122 zenon_H1b0 zenon_He2 zenon_H1db zenon_H125 zenon_Hf3 zenon_H90 zenon_H38 zenon_H44 zenon_H13a zenon_H2b zenon_H49 zenon_H226 zenon_H152 zenon_Hf6 zenon_H16a zenon_H203 zenon_H34 zenon_H57 zenon_H1ca zenon_H1d8 zenon_H22c zenon_Hd0 zenon_H20 zenon_H22e zenon_H106 zenon_H39 zenon_Hc0 zenon_Had zenon_H65 zenon_H19c zenon_H192 zenon_H5c zenon_H27 zenon_H19f zenon_H157 zenon_H58 zenon_H16c zenon_H30 zenon_H1a2 zenon_H41 zenon_H1cb zenon_H1c1 zenon_H3f zenon_H16e zenon_H14f zenon_H3c zenon_H105 zenon_Hed zenon_He5 zenon_H222 zenon_H1f3 zenon_H223 zenon_H92 zenon_H1df zenon_Hb1.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.33/11.49 apply (zenon_L8_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.33/11.49 apply (zenon_L232_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.33/11.49 apply (zenon_L431_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.33/11.49 apply (zenon_L130_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.33/11.49 apply (zenon_L247_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.33/11.49 apply (zenon_L415_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.33/11.49 apply (zenon_L434_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.33/11.49 apply (zenon_L98_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.33/11.49 apply (zenon_L439_); trivial.
% 11.33/11.49 exact (zenon_Hb1 zenon_Hb4).
% 11.33/11.49 (* end of lemma zenon_L440_ *)
% 11.33/11.49 assert (zenon_L441_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e1) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((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 (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((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).
% 11.33/11.49 do 0 intro. intros zenon_H203 zenon_H34 zenon_H7a zenon_H1d8 zenon_H152 zenon_H22c zenon_Hd0 zenon_H20 zenon_H22e zenon_H106 zenon_H39 zenon_Hc0 zenon_Had zenon_H65 zenon_H19c zenon_H192 zenon_H5c zenon_H27 zenon_H19f zenon_H157 zenon_H58 zenon_H16c zenon_H30 zenon_H1a2 zenon_H41 zenon_H1cb zenon_H1c1 zenon_H3f zenon_H16e zenon_H14f zenon_H3c zenon_H105 zenon_Hed zenon_He5 zenon_H222 zenon_H1f3 zenon_H223 zenon_H92 zenon_H16a zenon_Hc3.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.33/11.49 apply (zenon_L8_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.33/11.49 apply (zenon_L135_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.33/11.49 apply (zenon_L436_); trivial.
% 11.33/11.49 apply (zenon_L258_); trivial.
% 11.33/11.49 (* end of lemma zenon_L441_ *)
% 11.33/11.49 assert (zenon_L442_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (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 (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H4c zenon_Hc3 zenon_He3 zenon_He2 zenon_Hcb zenon_H167 zenon_H15d zenon_H113 zenon_H1ca zenon_H141 zenon_H79 zenon_H8d zenon_H13f zenon_H203 zenon_H1d8 zenon_H22c zenon_H22e zenon_H106 zenon_Hc0 zenon_Had zenon_H65 zenon_H19c zenon_H192 zenon_H5c zenon_H19f zenon_H157 zenon_H16c zenon_H1a2 zenon_H1cb zenon_H1c1 zenon_H16e zenon_H14f zenon_H105 zenon_He5 zenon_H222 zenon_H1f3 zenon_H223 zenon_H92 zenon_H16a zenon_H161 zenon_Hb8 zenon_Hed zenon_H13a zenon_H20 zenon_H49 zenon_H2b zenon_H3c zenon_H34 zenon_H41 zenon_H38 zenon_H44 zenon_H27 zenon_Hd0 zenon_H30.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.49 exact (zenon_H2b zenon_H26).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.49 apply (zenon_L228_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.49 apply (zenon_L57_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.33/11.49 exact (zenon_H2b zenon_H26).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.49 apply (zenon_L31_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.33/11.49 apply (zenon_L437_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.33/11.49 apply (zenon_L292_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.33/11.49 apply (zenon_L293_); trivial.
% 11.33/11.49 apply (zenon_L441_); trivial.
% 11.33/11.49 apply (zenon_L141_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.49 apply (zenon_L59_); trivial.
% 11.33/11.49 apply (zenon_L113_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.33/11.49 apply (zenon_L244_); trivial.
% 11.33/11.49 apply (zenon_L51_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.49 apply (zenon_L284_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.49 apply (zenon_L61_); trivial.
% 11.33/11.49 apply (zenon_L286_); trivial.
% 11.33/11.49 (* end of lemma zenon_L442_ *)
% 11.33/11.49 assert (zenon_L443_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((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)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.33/11.49 do 0 intro. intros zenon_Hfa zenon_H13a zenon_H34 zenon_H167 zenon_He2 zenon_He3 zenon_H38 zenon_H44 zenon_H65 zenon_H1d5 zenon_H30 zenon_Hd0 zenon_H27 zenon_Hc7 zenon_Hcb zenon_H4f zenon_H49 zenon_H14f zenon_H56 zenon_H20 zenon_H154 zenon_H117 zenon_H3f zenon_H61 zenon_Hed zenon_H141.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.33/11.49 apply (zenon_L237_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.33/11.49 apply (zenon_L164_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.33/11.49 apply (zenon_L165_); trivial.
% 11.33/11.49 apply (zenon_L250_); trivial.
% 11.33/11.49 (* end of lemma zenon_L443_ *)
% 11.33/11.49 assert (zenon_L444_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e1) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((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 (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H203 zenon_H201 zenon_He2 zenon_H34 zenon_Hf3 zenon_H1d8 zenon_H152 zenon_H22c zenon_Hd0 zenon_H20 zenon_H22e zenon_H106 zenon_H39 zenon_Hc0 zenon_Had zenon_H65 zenon_H19c zenon_H192 zenon_H5c zenon_H27 zenon_H19f zenon_H157 zenon_H58 zenon_H16c zenon_H30 zenon_H1a2 zenon_H41 zenon_H1cb zenon_H1c1 zenon_H3f zenon_H16e zenon_H90 zenon_H14f zenon_H3c zenon_H105 zenon_H16a zenon_Hc3.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.33/11.49 apply (zenon_L8_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.33/11.49 apply (zenon_L424_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.33/11.49 apply (zenon_L431_); trivial.
% 11.33/11.49 apply (zenon_L258_); trivial.
% 11.33/11.49 (* end of lemma zenon_L444_ *)
% 11.33/11.49 assert (zenon_L445_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((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) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (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) (e2)) = (e1))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (op (e3) (e3)))) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H1df zenon_H105 zenon_H3c zenon_H14f zenon_H90 zenon_H16e zenon_H3f zenon_H1c1 zenon_H1cb zenon_H41 zenon_H1a2 zenon_H30 zenon_H16c zenon_H58 zenon_H157 zenon_H19f zenon_H27 zenon_H5c zenon_H192 zenon_H19c zenon_H65 zenon_Had zenon_Hc0 zenon_H39 zenon_H106 zenon_H22e zenon_H20 zenon_Hd0 zenon_H22c zenon_H152 zenon_H1d8 zenon_Hf3 zenon_H34 zenon_He2 zenon_H201 zenon_H203 zenon_He6 zenon_H16a zenon_Hae zenon_Hf6 zenon_H15f zenon_H15d.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ].
% 11.33/11.49 apply (zenon_L444_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ].
% 11.33/11.49 apply (zenon_L146_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ].
% 11.33/11.49 apply (zenon_L256_); trivial.
% 11.33/11.49 apply (zenon_L142_); trivial.
% 11.33/11.49 (* end of lemma zenon_L445_ *)
% 11.33/11.49 assert (zenon_L446_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e1) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((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 (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (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) (e3)) = (e2)) -> False).
% 11.33/11.49 do 0 intro. intros zenon_Hb0 zenon_Hed zenon_H161 zenon_H38 zenon_H57 zenon_H101 zenon_H1db zenon_H44 zenon_H15d zenon_H15f zenon_Hf6 zenon_H16a zenon_H203 zenon_H201 zenon_He2 zenon_H34 zenon_Hf3 zenon_H1d8 zenon_H152 zenon_H22c zenon_Hd0 zenon_H20 zenon_H22e zenon_H106 zenon_H39 zenon_Hc0 zenon_Had zenon_H65 zenon_H19c zenon_H192 zenon_H5c zenon_H27 zenon_H19f zenon_H157 zenon_H58 zenon_H16c zenon_H30 zenon_H1a2 zenon_H41 zenon_H1cb zenon_H1c1 zenon_H16e zenon_H90 zenon_H14f zenon_H3c zenon_H105 zenon_H1df zenon_H13a zenon_H3f.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.33/11.49 apply (zenon_L130_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.33/11.49 apply (zenon_L247_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.33/11.49 apply (zenon_L415_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.33/11.49 apply (zenon_L419_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.33/11.49 apply (zenon_L235_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.33/11.49 apply (zenon_L445_); trivial.
% 11.33/11.49 apply (zenon_L420_); trivial.
% 11.33/11.49 (* end of lemma zenon_L446_ *)
% 11.33/11.49 assert (zenon_L447_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (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 (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((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) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H12d zenon_H1b8 zenon_H1df zenon_H15f zenon_Hb0 zenon_H15d zenon_H1db zenon_H101 zenon_Hf6 zenon_H4c zenon_H27 zenon_He3 zenon_He2 zenon_Hcb zenon_H167 zenon_H203 zenon_H201 zenon_Hf3 zenon_H1d8 zenon_H22c zenon_H22e zenon_H106 zenon_Hc0 zenon_Had zenon_H65 zenon_H19c zenon_H192 zenon_H5c zenon_H19f zenon_H157 zenon_H16c zenon_H1a2 zenon_H1cb zenon_H1c1 zenon_H16e zenon_H14f zenon_H105 zenon_H16a zenon_H161 zenon_Hb8 zenon_H41 zenon_H34 zenon_H3c zenon_H38 zenon_H44 zenon_Hed zenon_H13a zenon_H30 zenon_H2b zenon_H49 zenon_H20 zenon_Hd0 zenon_H61 zenon_H90.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.33/11.49 apply (zenon_L221_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.49 exact (zenon_H2b zenon_H26).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.49 apply (zenon_L228_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.49 apply (zenon_L57_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.33/11.49 exact (zenon_H2b zenon_H26).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.49 apply (zenon_L31_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.49 apply (zenon_L446_); trivial.
% 11.33/11.49 apply (zenon_L141_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.49 apply (zenon_L59_); trivial.
% 11.33/11.49 apply (zenon_L11_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.33/11.49 apply (zenon_L422_); trivial.
% 11.33/11.49 apply (zenon_L419_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.49 apply (zenon_L284_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.49 apply (zenon_L61_); trivial.
% 11.33/11.49 apply (zenon_L286_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.33/11.49 apply (zenon_L237_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.49 exact (zenon_H2b zenon_H26).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.49 apply (zenon_L228_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.49 apply (zenon_L57_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.33/11.49 exact (zenon_H2b zenon_H26).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.49 apply (zenon_L31_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.49 apply (zenon_L444_); trivial.
% 11.33/11.49 apply (zenon_L201_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.49 apply (zenon_L59_); trivial.
% 11.33/11.49 apply (zenon_L11_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.33/11.49 apply (zenon_L422_); trivial.
% 11.33/11.49 apply (zenon_L51_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.49 apply (zenon_L284_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.49 apply (zenon_L61_); trivial.
% 11.33/11.49 apply (zenon_L127_); trivial.
% 11.33/11.49 (* end of lemma zenon_L447_ *)
% 11.33/11.49 assert (zenon_L448_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (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 (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e0)) = (e2)) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H1d5 zenon_Hc7 zenon_H4f zenon_H61 zenon_Hd0 zenon_H49 zenon_H2b zenon_H30 zenon_H13a zenon_Hed zenon_H44 zenon_H38 zenon_H3c zenon_H34 zenon_H41 zenon_Hb8 zenon_H161 zenon_H16a zenon_H105 zenon_H14f zenon_H16e zenon_H1c1 zenon_H1cb zenon_H1a2 zenon_H16c zenon_H157 zenon_H19f zenon_H5c zenon_H192 zenon_H19c zenon_H65 zenon_Had zenon_Hc0 zenon_H106 zenon_H22e zenon_H22c zenon_H1d8 zenon_Hf3 zenon_H201 zenon_H203 zenon_H167 zenon_Hcb zenon_He2 zenon_He3 zenon_H27 zenon_H4c zenon_Hf6 zenon_H101 zenon_H1db zenon_H15d zenon_Hb0 zenon_H15f zenon_H1df zenon_H1b8 zenon_H12d zenon_H20 zenon_H96 zenon_H120 zenon_H9a.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H47 | zenon_intro zenon_H1d6 ].
% 11.33/11.49 apply (zenon_L169_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H90 | zenon_intro zenon_H1d7 ].
% 11.33/11.49 apply (zenon_L447_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H118 | zenon_intro zenon_He7 ].
% 11.33/11.49 apply (zenon_L166_); trivial.
% 11.33/11.49 apply (zenon_L266_); trivial.
% 11.33/11.49 (* end of lemma zenon_L448_ *)
% 11.33/11.49 assert (zenon_L449_ : (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (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 (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((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) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H226 zenon_H9a zenon_H120 zenon_H96 zenon_H20 zenon_H12d zenon_H1b8 zenon_H1df zenon_H15f zenon_Hb0 zenon_H15d zenon_H1db zenon_H101 zenon_Hf6 zenon_H4c zenon_H27 zenon_He3 zenon_He2 zenon_Hcb zenon_H167 zenon_H203 zenon_H201 zenon_Hf3 zenon_H1d8 zenon_H22c zenon_H22e zenon_H106 zenon_Hc0 zenon_Had zenon_H65 zenon_H19c zenon_H192 zenon_H5c zenon_H19f zenon_H157 zenon_H16c zenon_H1a2 zenon_H1cb zenon_H14f zenon_H105 zenon_H16a zenon_H161 zenon_Hb8 zenon_H41 zenon_H34 zenon_H3c zenon_H38 zenon_H44 zenon_Hed zenon_H13a zenon_H30 zenon_H2b zenon_H49 zenon_Hd0 zenon_H61 zenon_H4f zenon_H1d5 zenon_H1c1 zenon_H3f zenon_H16e.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ].
% 11.33/11.49 apply (zenon_L361_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ].
% 11.33/11.49 apply (zenon_L448_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ].
% 11.33/11.49 exact (zenon_H1c1 zenon_H5a).
% 11.33/11.49 apply (zenon_L213_); trivial.
% 11.33/11.49 (* end of lemma zenon_L449_ *)
% 11.33/11.49 assert (zenon_L450_ : ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (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 (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (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) (e0)) = (op (e3) (e0)))) -> (((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 (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> False).
% 11.33/11.49 do 0 intro. intros zenon_H200 zenon_H101 zenon_Hd0 zenon_H1b8 zenon_H4c zenon_H2b zenon_H44 zenon_H3c zenon_H34 zenon_H41 zenon_H27 zenon_H30 zenon_H49 zenon_H20 zenon_H10b zenon_H1c1 zenon_H12d zenon_H113 zenon_H13f zenon_H8d zenon_Hf3 zenon_Heb zenon_H10e zenon_H1ca zenon_H105 zenon_H1d8 zenon_H22e zenon_H19c zenon_Hc0 zenon_H5c zenon_H192 zenon_Had zenon_H19f zenon_H16c zenon_H1cb zenon_H106 zenon_H203 zenon_H122 zenon_Hf0 zenon_Hb0 zenon_H16a zenon_H1df zenon_H1f0 zenon_H1e2 zenon_H1f3 zenon_H1b0 zenon_Hf6 zenon_H125 zenon_H1db zenon_H226 zenon_H92 zenon_H223 zenon_He5 zenon_H222 zenon_H22c zenon_Hcb zenon_He3 zenon_H167 zenon_H11b zenon_H1a2 zenon_H157 zenon_H15d zenon_H161 zenon_H65 zenon_H16e zenon_H14f zenon_H154 zenon_H61 zenon_H141 zenon_H117 zenon_H1d5 zenon_Hfa zenon_H187 zenon_Hb8 zenon_H13a zenon_H210.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H201 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.33/11.49 apply (zenon_L222_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.33/11.49 apply (zenon_L224_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.33/11.49 apply (zenon_L225_); trivial.
% 11.33/11.49 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160.
% 11.33/11.49 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3.
% 11.33/11.49 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5.
% 11.33/11.49 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.33/11.49 apply (zenon_L221_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.49 exact (zenon_H2b zenon_H26).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.49 apply (zenon_L228_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.49 apply (zenon_L57_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.33/11.49 exact (zenon_H2b zenon_H26).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.49 apply (zenon_L231_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.33/11.49 apply (zenon_L423_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.33/11.49 apply (zenon_L252_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.33/11.49 exact (zenon_H22c zenon_H88).
% 11.33/11.49 apply (zenon_L440_); trivial.
% 11.33/11.49 apply (zenon_L141_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.49 apply (zenon_L59_); trivial.
% 11.33/11.49 apply (zenon_L113_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.33/11.49 apply (zenon_L422_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.49 exact (zenon_H38 zenon_H33).
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.49 apply (zenon_L118_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.33/11.49 apply (zenon_L8_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.33/11.49 apply (zenon_L232_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.33/11.49 apply (zenon_L179_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.33/11.49 apply (zenon_L246_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.33/11.49 exact (zenon_H22c zenon_H88).
% 11.33/11.49 apply (zenon_L432_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.33/11.49 apply (zenon_L423_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.33/11.49 apply (zenon_L252_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.33/11.49 exact (zenon_H22c zenon_H88).
% 11.33/11.49 apply (zenon_L433_); trivial.
% 11.33/11.49 apply (zenon_L142_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.49 apply (zenon_L59_); trivial.
% 11.33/11.49 apply (zenon_L11_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.49 apply (zenon_L284_); trivial.
% 11.33/11.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.49 apply (zenon_L61_); trivial.
% 11.33/11.49 apply (zenon_L286_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.33/11.50 apply (zenon_L237_); trivial.
% 11.33/11.50 apply (zenon_L442_); trivial.
% 11.33/11.50 apply (zenon_L295_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.33/11.50 apply (zenon_L221_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.50 exact (zenon_H2b zenon_H26).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.50 apply (zenon_L228_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.50 apply (zenon_L57_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.33/11.50 exact (zenon_H2b zenon_H26).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.50 exact (zenon_H38 zenon_H33).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.50 exact (zenon_H38 zenon_H33).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.50 apply (zenon_L231_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.50 apply (zenon_L440_); trivial.
% 11.33/11.50 apply (zenon_L142_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.50 apply (zenon_L59_); trivial.
% 11.33/11.50 apply (zenon_L113_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.33/11.50 apply (zenon_L244_); trivial.
% 11.33/11.50 apply (zenon_L434_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.50 apply (zenon_L284_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.50 apply (zenon_L61_); trivial.
% 11.33/11.50 apply (zenon_L67_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.33/11.50 apply (zenon_L237_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.50 exact (zenon_H2b zenon_H26).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.50 apply (zenon_L228_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.50 apply (zenon_L57_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.33/11.50 exact (zenon_H2b zenon_H26).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.50 exact (zenon_H38 zenon_H33).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.50 exact (zenon_H38 zenon_H33).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.50 apply (zenon_L31_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.33/11.50 apply (zenon_L437_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.33/11.50 apply (zenon_L296_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.33/11.50 apply (zenon_L293_); trivial.
% 11.33/11.50 apply (zenon_L441_); trivial.
% 11.33/11.50 apply (zenon_L201_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.50 apply (zenon_L59_); trivial.
% 11.33/11.50 apply (zenon_L113_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.33/11.50 apply (zenon_L422_); trivial.
% 11.33/11.50 apply (zenon_L51_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.50 apply (zenon_L284_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.50 apply (zenon_L61_); trivial.
% 11.33/11.50 apply (zenon_L127_); trivial.
% 11.33/11.50 apply (zenon_L295_); trivial.
% 11.33/11.50 apply (zenon_L297_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.33/11.50 apply (zenon_L222_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.33/11.50 apply (zenon_L224_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.33/11.50 apply (zenon_L225_); trivial.
% 11.33/11.50 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160.
% 11.33/11.50 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3.
% 11.33/11.50 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5.
% 11.33/11.50 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.33/11.50 apply (zenon_L221_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.50 exact (zenon_H2b zenon_H26).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.50 apply (zenon_L228_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.50 apply (zenon_L57_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.33/11.50 exact (zenon_H2b zenon_H26).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.50 exact (zenon_H38 zenon_H33).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.50 exact (zenon_H38 zenon_H33).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.50 apply (zenon_L118_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.33/11.50 apply (zenon_L179_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.33/11.50 apply (zenon_L65_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.33/11.50 apply (zenon_L161_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.33/11.50 apply (zenon_L429_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.33/11.50 apply (zenon_L165_); trivial.
% 11.33/11.50 apply (zenon_L251_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.33/11.50 apply (zenon_L443_); trivial.
% 11.33/11.50 apply (zenon_L235_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.33/11.50 exact (zenon_H22c zenon_H88).
% 11.33/11.50 apply (zenon_L446_); trivial.
% 11.33/11.50 apply (zenon_L141_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.50 apply (zenon_L59_); trivial.
% 11.33/11.50 apply (zenon_L113_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.33/11.50 apply (zenon_L422_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.50 exact (zenon_H38 zenon_H33).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.50 exact (zenon_H38 zenon_H33).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.50 apply (zenon_L231_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.33/11.50 apply (zenon_L8_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.33/11.50 apply (zenon_L232_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.33/11.50 apply (zenon_L423_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.33/11.50 apply (zenon_L246_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.33/11.50 exact (zenon_H22c zenon_H88).
% 11.33/11.50 apply (zenon_L417_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.33/11.50 apply (zenon_L179_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.33/11.50 apply (zenon_L161_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.33/11.50 apply (zenon_L246_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.33/11.50 apply (zenon_L165_); trivial.
% 11.33/11.50 apply (zenon_L449_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.33/11.50 exact (zenon_H22c zenon_H88).
% 11.33/11.50 apply (zenon_L417_); trivial.
% 11.33/11.50 apply (zenon_L302_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.50 apply (zenon_L59_); trivial.
% 11.33/11.50 apply (zenon_L11_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.50 apply (zenon_L284_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.50 apply (zenon_L61_); trivial.
% 11.33/11.50 apply (zenon_L286_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.33/11.50 apply (zenon_L237_); trivial.
% 11.33/11.50 apply (zenon_L442_); trivial.
% 11.33/11.50 apply (zenon_L295_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.33/11.50 apply (zenon_L447_); trivial.
% 11.33/11.50 apply (zenon_L295_); trivial.
% 11.33/11.50 apply (zenon_L297_); trivial.
% 11.33/11.50 (* end of lemma zenon_L450_ *)
% 11.33/11.50 assert (zenon_L451_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H44 zenon_H38 zenon_H41 zenon_H2c zenon_H3c zenon_H2e zenon_H72 zenon_H34.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.50 exact (zenon_H38 zenon_H33).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.50 apply (zenon_L65_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.50 apply (zenon_L9_); trivial.
% 11.33/11.50 apply (zenon_L379_); trivial.
% 11.33/11.50 (* end of lemma zenon_L451_ *)
% 11.33/11.50 assert (zenon_L452_ : (((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) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H49 zenon_H34 zenon_H3c zenon_H41 zenon_H38 zenon_H44 zenon_H30 zenon_H2e zenon_H72 zenon_H27.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.50 exact (zenon_H38 zenon_H33).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.50 apply (zenon_L156_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.50 apply (zenon_L9_); trivial.
% 11.33/11.50 apply (zenon_L379_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.50 apply (zenon_L451_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.50 apply (zenon_L6_); trivial.
% 11.33/11.50 apply (zenon_L180_); trivial.
% 11.33/11.50 (* end of lemma zenon_L452_ *)
% 11.33/11.50 assert (zenon_L453_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H49 zenon_H30 zenon_H4f zenon_H3c zenon_H34 zenon_H41 zenon_H1e zenon_H38 zenon_H44 zenon_H72 zenon_H27.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.50 apply (zenon_L160_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.50 apply (zenon_L380_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.50 exact (zenon_H38 zenon_H33).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.50 apply (zenon_L8_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.50 apply (zenon_L13_); trivial.
% 11.33/11.50 apply (zenon_L379_); trivial.
% 11.33/11.50 apply (zenon_L180_); trivial.
% 11.33/11.50 (* end of lemma zenon_L453_ *)
% 11.33/11.50 assert (zenon_L454_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H49 zenon_H2b zenon_H30 zenon_H1f zenon_H65 zenon_H5a zenon_H72 zenon_H27.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.50 exact (zenon_H2b zenon_H26).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.50 apply (zenon_L211_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.50 apply (zenon_L23_); trivial.
% 11.33/11.50 apply (zenon_L180_); trivial.
% 11.33/11.50 (* end of lemma zenon_L454_ *)
% 11.33/11.50 assert (zenon_L455_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H49 zenon_H2b zenon_H34 zenon_H2e zenon_H3c zenon_H41 zenon_H38 zenon_H44 zenon_H65 zenon_H5a zenon_H72 zenon_H27.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.50 exact (zenon_H2b zenon_H26).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.50 apply (zenon_L451_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.50 apply (zenon_L23_); trivial.
% 11.33/11.50 apply (zenon_L180_); trivial.
% 11.33/11.50 (* end of lemma zenon_L455_ *)
% 11.33/11.50 assert (zenon_L456_ : (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e3)) = (e3))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H15f zenon_H233.
% 11.33/11.50 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160.
% 11.33/11.50 exact (zenon_H233 zenon_Hed).
% 11.33/11.50 (* end of lemma zenon_L456_ *)
% 11.33/11.50 assert (zenon_L457_ : ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((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 (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H1b0 zenon_H10b zenon_H4c zenon_H20 zenon_H38 zenon_H30 zenon_H44 zenon_H72 zenon_H34 zenon_H41 zenon_H3c zenon_H65 zenon_H27 zenon_H49 zenon_H210 zenon_H233.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.33/11.50 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.50 apply (zenon_L129_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.50 apply (zenon_L3_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.50 apply (zenon_L211_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.50 exact (zenon_H38 zenon_H33).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.50 apply (zenon_L130_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.50 apply (zenon_L13_); trivial.
% 11.33/11.50 apply (zenon_L379_); trivial.
% 11.33/11.50 apply (zenon_L180_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.50 apply (zenon_L452_); trivial.
% 11.33/11.50 apply (zenon_L182_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.33/11.50 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 11.33/11.50 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H4d | zenon_intro zenon_H1e ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.50 exact (zenon_H4d zenon_H4f).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.50 apply (zenon_L223_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.50 apply (zenon_L452_); trivial.
% 11.33/11.50 apply (zenon_L182_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.50 apply (zenon_L453_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.50 apply (zenon_L223_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.50 apply (zenon_L452_); trivial.
% 11.33/11.50 apply (zenon_L182_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.33/11.50 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133.
% 11.33/11.50 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.50 exact (zenon_H2b zenon_H26).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.50 apply (zenon_L380_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.50 apply (zenon_L23_); trivial.
% 11.33/11.50 apply (zenon_L180_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.50 apply (zenon_L454_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.50 apply (zenon_L455_); trivial.
% 11.33/11.50 apply (zenon_L182_); trivial.
% 11.33/11.50 apply (zenon_L297_); trivial.
% 11.33/11.50 apply (zenon_L456_); trivial.
% 11.33/11.50 (* end of lemma zenon_L457_ *)
% 11.33/11.50 assert (zenon_L458_ : (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))))))) -> (~((op (e0) (e0)) = (e0))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H51 zenon_H234.
% 11.33/11.50 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52.
% 11.33/11.50 exact (zenon_H234 zenon_H25).
% 11.33/11.50 (* end of lemma zenon_L458_ *)
% 11.33/11.50 assert (zenon_L459_ : ((op (e1) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H56 zenon_H6d zenon_H1ca.
% 11.33/11.50 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1bd ].
% 11.33/11.50 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (e1) (e0)) = (op (e1) (e1)))).
% 11.33/11.50 intro zenon_D_pnotp.
% 11.33/11.50 apply zenon_H1ca.
% 11.33/11.50 rewrite <- zenon_D_pnotp.
% 11.33/11.50 exact zenon_H1bc.
% 11.33/11.50 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1bd].
% 11.33/11.50 cut (((op (e1) (e1)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H235].
% 11.33/11.50 congruence.
% 11.33/11.50 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e1) (e0)))).
% 11.33/11.50 intro zenon_D_pnotp.
% 11.33/11.50 apply zenon_H235.
% 11.33/11.50 rewrite <- zenon_D_pnotp.
% 11.33/11.50 exact zenon_H56.
% 11.33/11.50 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H12c].
% 11.33/11.50 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1bd].
% 11.33/11.50 congruence.
% 11.33/11.50 apply zenon_H1bd. apply refl_equal.
% 11.33/11.50 apply zenon_H12c. apply sym_equal. exact zenon_H6d.
% 11.33/11.50 apply zenon_H1bd. apply refl_equal.
% 11.33/11.50 apply zenon_H1bd. apply refl_equal.
% 11.33/11.50 (* end of lemma zenon_L459_ *)
% 11.33/11.50 assert (zenon_L460_ : (((op (e1) (e1)) = (e1))/\(((~((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 (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H53 zenon_H6d zenon_H1ca.
% 11.33/11.50 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 11.33/11.50 apply (zenon_L459_); trivial.
% 11.33/11.50 (* end of lemma zenon_L460_ *)
% 11.33/11.50 assert (zenon_L461_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e3)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H15a zenon_H207 zenon_H1ca zenon_H6d zenon_H68 zenon_H7a zenon_H58.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ].
% 11.33/11.50 exact (zenon_H207 zenon_H10c).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ].
% 11.33/11.50 apply (zenon_L459_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ].
% 11.33/11.50 exact (zenon_H68 zenon_H6c).
% 11.33/11.50 apply (zenon_L34_); trivial.
% 11.33/11.50 (* end of lemma zenon_L461_ *)
% 11.33/11.50 assert (zenon_L462_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H69 zenon_H6d zenon_H1ca zenon_H207 zenon_H15a zenon_H68 zenon_H5c zenon_H5a zenon_H7a zenon_H27.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.33/11.50 apply (zenon_L461_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.33/11.50 exact (zenon_H68 zenon_H6c).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.33/11.50 apply (zenon_L21_); trivial.
% 11.33/11.50 apply (zenon_L103_); trivial.
% 11.33/11.50 (* end of lemma zenon_L462_ *)
% 11.33/11.50 assert (zenon_L463_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H137 zenon_H10e zenon_H20 zenon_H6d zenon_H207 zenon_H13f zenon_Hd0 zenon_H69 zenon_H27 zenon_H5a zenon_H5c zenon_H1ca zenon_H15a zenon_H113.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.33/11.50 apply (zenon_L423_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.33/11.50 exact (zenon_H207 zenon_H10c).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.33/11.50 apply (zenon_L293_); trivial.
% 11.33/11.50 apply (zenon_L462_); trivial.
% 11.33/11.50 apply (zenon_L106_); trivial.
% 11.33/11.50 (* end of lemma zenon_L463_ *)
% 11.33/11.50 assert (zenon_L464_ : (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e1)) = (e0)) -> False).
% 11.33/11.50 do 0 intro. intros zenon_Hc4 zenon_H6e zenon_Hcc.
% 11.33/11.50 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e2) (e1)))).
% 11.33/11.50 intro zenon_D_pnotp.
% 11.33/11.50 apply zenon_Hc4.
% 11.33/11.50 rewrite <- zenon_D_pnotp.
% 11.33/11.50 exact zenon_H6e.
% 11.33/11.50 cut (((e0) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hcd].
% 11.33/11.50 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 11.33/11.50 congruence.
% 11.33/11.50 apply zenon_H98. apply refl_equal.
% 11.33/11.50 apply zenon_Hcd. apply sym_equal. exact zenon_Hcc.
% 11.33/11.50 (* end of lemma zenon_L464_ *)
% 11.33/11.50 assert (zenon_L465_ : ((op (e1) (e3)) = (e2)) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H62 zenon_H8b zenon_H41.
% 11.33/11.50 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.33/11.50 cut (((e3) = (e3)) = ((e2) = (e3))).
% 11.33/11.50 intro zenon_D_pnotp.
% 11.33/11.50 apply zenon_H41.
% 11.33/11.50 rewrite <- zenon_D_pnotp.
% 11.33/11.50 exact zenon_H35.
% 11.33/11.50 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.33/11.50 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H42].
% 11.33/11.50 congruence.
% 11.33/11.50 cut (((op (e1) (e3)) = (e2)) = ((e3) = (e2))).
% 11.33/11.50 intro zenon_D_pnotp.
% 11.33/11.50 apply zenon_H42.
% 11.33/11.50 rewrite <- zenon_D_pnotp.
% 11.33/11.50 exact zenon_H62.
% 11.33/11.50 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.33/11.50 cut (((op (e1) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8c].
% 11.33/11.50 congruence.
% 11.33/11.50 exact (zenon_H8c zenon_H8b).
% 11.33/11.50 apply zenon_H29. apply refl_equal.
% 11.33/11.50 apply zenon_H36. apply refl_equal.
% 11.33/11.50 apply zenon_H36. apply refl_equal.
% 11.33/11.50 (* end of lemma zenon_L465_ *)
% 11.33/11.50 assert (zenon_L466_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H13a zenon_H72 zenon_H9d.
% 11.33/11.50 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e3) (e3)))).
% 11.33/11.50 intro zenon_D_pnotp.
% 11.33/11.50 apply zenon_H13a.
% 11.33/11.50 rewrite <- zenon_D_pnotp.
% 11.33/11.50 exact zenon_H72.
% 11.33/11.50 cut (((e0) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 11.33/11.50 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 11.33/11.50 congruence.
% 11.33/11.50 apply zenon_H64. apply refl_equal.
% 11.33/11.50 apply zenon_Ha6. apply sym_equal. exact zenon_H9d.
% 11.33/11.50 (* end of lemma zenon_L466_ *)
% 11.33/11.50 assert (zenon_L467_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_Hf0 zenon_H72 zenon_H13a zenon_H9a zenon_H120 zenon_H62 zenon_H141 zenon_H164 zenon_He3.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.33/11.50 apply (zenon_L466_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.33/11.50 apply (zenon_L266_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.33/11.50 apply (zenon_L336_); trivial.
% 11.33/11.50 apply (zenon_L144_); trivial.
% 11.33/11.50 (* end of lemma zenon_L467_ *)
% 11.33/11.50 assert (zenon_L468_ : (((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))) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H69 zenon_H30 zenon_H6d zenon_H68 zenon_H27 zenon_He0 zenon_H236 zenon_H34 zenon_H41 zenon_He3 zenon_H141 zenon_H120 zenon_H9a zenon_H13a zenon_H72 zenon_Hf0 zenon_Heb zenon_Hec.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.33/11.50 apply (zenon_L26_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.33/11.50 exact (zenon_H68 zenon_H6c).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.33/11.50 apply (zenon_L347_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H40 | zenon_intro zenon_H237 ].
% 11.33/11.50 apply (zenon_L379_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H8b | zenon_intro zenon_H238 ].
% 11.33/11.50 apply (zenon_L465_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H164 | zenon_intro zenon_Hed ].
% 11.33/11.50 apply (zenon_L467_); trivial.
% 11.33/11.50 apply (zenon_L74_); trivial.
% 11.33/11.50 (* end of lemma zenon_L468_ *)
% 11.33/11.50 assert (zenon_L469_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e1)) = (e2)) -> (((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).
% 11.33/11.50 do 0 intro. intros zenon_H113 zenon_H20 zenon_Heb zenon_Hf0 zenon_H13a zenon_H9a zenon_H141 zenon_He3 zenon_H41 zenon_H34 zenon_H236 zenon_H27 zenon_H68 zenon_H6d zenon_H30 zenon_H69 zenon_H5a zenon_H2e zenon_H3c zenon_Hf3 zenon_Hc4 zenon_H6e zenon_H207 zenon_H2c zenon_H203 zenon_H61 zenon_H72.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.33/11.50 apply (zenon_L423_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.33/11.50 exact (zenon_H207 zenon_H10c).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.33/11.50 apply (zenon_L4_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.33/11.50 exact (zenon_H207 zenon_H10c).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.33/11.50 apply (zenon_L464_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.33/11.50 apply (zenon_L9_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.33/11.50 apply (zenon_L69_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.33/11.50 apply (zenon_L70_); trivial.
% 11.33/11.50 apply (zenon_L468_); trivial.
% 11.33/11.50 apply (zenon_L335_); trivial.
% 11.33/11.50 (* end of lemma zenon_L469_ *)
% 11.33/11.50 assert (zenon_L470_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((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 (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H12d zenon_H234 zenon_H20 zenon_H72 zenon_H49 zenon_H61 zenon_H203 zenon_H207 zenon_Hc4 zenon_Hf3 zenon_H3c zenon_H69 zenon_H68 zenon_H236 zenon_H34 zenon_H41 zenon_He3 zenon_H141 zenon_H13a zenon_Hf0 zenon_Heb zenon_H113 zenon_H65 zenon_H187 zenon_H4c zenon_Hb8 zenon_H2b zenon_H30 zenon_H6d zenon_Hc0 zenon_H5a zenon_H27.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.33/11.50 exact (zenon_H234 zenon_H25).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.33/11.50 apply (zenon_L423_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.50 apply (zenon_L179_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.50 apply (zenon_L454_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.50 exact (zenon_H2b zenon_H26).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.33/11.50 exact (zenon_H2b zenon_H26).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.33/11.50 apply (zenon_L26_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.33/11.50 apply (zenon_L48_); trivial.
% 11.33/11.50 apply (zenon_L469_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.50 apply (zenon_L23_); trivial.
% 11.33/11.50 apply (zenon_L180_); trivial.
% 11.33/11.50 apply (zenon_L182_); trivial.
% 11.33/11.50 apply (zenon_L52_); trivial.
% 11.33/11.50 (* end of lemma zenon_L470_ *)
% 11.33/11.50 assert (zenon_L471_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (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 (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H44 zenon_H38 zenon_H1f zenon_H141 zenon_H13f zenon_H79 zenon_H6d zenon_H3c zenon_H8d zenon_Hed zenon_H13a.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.50 exact (zenon_H38 zenon_H33).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.50 apply (zenon_L130_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.50 apply (zenon_L124_); trivial.
% 11.33/11.50 apply (zenon_L113_); trivial.
% 11.33/11.50 (* end of lemma zenon_L471_ *)
% 11.33/11.50 assert (zenon_L472_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H222 zenon_H1e zenon_H120.
% 11.33/11.50 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e3) (e1)))).
% 11.33/11.50 intro zenon_D_pnotp.
% 11.33/11.50 apply zenon_H222.
% 11.33/11.50 rewrite <- zenon_D_pnotp.
% 11.33/11.50 exact zenon_H1e.
% 11.33/11.50 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1de].
% 11.33/11.50 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H74].
% 11.33/11.50 congruence.
% 11.33/11.50 apply zenon_H74. apply refl_equal.
% 11.33/11.50 apply zenon_H1de. apply sym_equal. exact zenon_H120.
% 11.33/11.50 (* end of lemma zenon_L472_ *)
% 11.33/11.50 assert (zenon_L473_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 11.33/11.50 do 0 intro. intros zenon_Hf0 zenon_H9e zenon_H1e5 zenon_Ha4 zenon_He5 zenon_H15d zenon_H15e.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.33/11.50 exact (zenon_H9e zenon_H9d).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.33/11.50 exact (zenon_H1e5 zenon_He7).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.33/11.50 apply (zenon_L73_); trivial.
% 11.33/11.50 apply (zenon_L141_); trivial.
% 11.33/11.50 (* end of lemma zenon_L473_ *)
% 11.33/11.50 assert (zenon_L474_ : ((op (e3) (e1)) = (e3)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H147 zenon_H15e zenon_H16a.
% 11.33/11.50 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H239 | zenon_intro zenon_He9 ].
% 11.33/11.50 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e3) (e0)) = (op (e3) (e1)))).
% 11.33/11.50 intro zenon_D_pnotp.
% 11.33/11.50 apply zenon_H16a.
% 11.33/11.50 rewrite <- zenon_D_pnotp.
% 11.33/11.50 exact zenon_H239.
% 11.33/11.50 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9].
% 11.33/11.50 cut (((op (e3) (e1)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H23a].
% 11.33/11.50 congruence.
% 11.33/11.50 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e3) (e0)))).
% 11.33/11.50 intro zenon_D_pnotp.
% 11.33/11.50 apply zenon_H23a.
% 11.33/11.50 rewrite <- zenon_D_pnotp.
% 11.33/11.50 exact zenon_H147.
% 11.33/11.50 cut (((e3) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1ed].
% 11.33/11.50 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9].
% 11.33/11.50 congruence.
% 11.33/11.50 apply zenon_He9. apply refl_equal.
% 11.33/11.50 apply zenon_H1ed. apply sym_equal. exact zenon_H15e.
% 11.33/11.50 apply zenon_He9. apply refl_equal.
% 11.33/11.50 apply zenon_He9. apply refl_equal.
% 11.33/11.50 (* end of lemma zenon_L474_ *)
% 11.33/11.50 assert (zenon_L475_ : (((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 (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H223 zenon_H1e zenon_H222 zenon_H56 zenon_H1f3 zenon_H15d zenon_He5 zenon_H1e5 zenon_H9e zenon_Hf0 zenon_H15e zenon_H16a.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H120 | zenon_intro zenon_H224 ].
% 11.33/11.50 apply (zenon_L472_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He6 | zenon_intro zenon_H225 ].
% 11.33/11.50 apply (zenon_L278_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H147 ].
% 11.33/11.50 apply (zenon_L473_); trivial.
% 11.33/11.50 apply (zenon_L474_); trivial.
% 11.33/11.50 (* end of lemma zenon_L475_ *)
% 11.33/11.50 assert (zenon_L476_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H101 zenon_H2e zenon_H1d9.
% 11.33/11.50 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e3) (e2)))).
% 11.33/11.50 intro zenon_D_pnotp.
% 11.33/11.50 apply zenon_H101.
% 11.33/11.50 rewrite <- zenon_D_pnotp.
% 11.33/11.50 exact zenon_H2e.
% 11.33/11.50 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1da].
% 11.33/11.50 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H140].
% 11.33/11.50 congruence.
% 11.33/11.50 apply zenon_H140. apply refl_equal.
% 11.33/11.50 apply zenon_H1da. apply sym_equal. exact zenon_H1d9.
% 11.33/11.50 (* end of lemma zenon_L476_ *)
% 11.33/11.50 assert (zenon_L477_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (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).
% 11.33/11.50 do 0 intro. intros zenon_H1f0 zenon_H15e zenon_H3c zenon_H56 zenon_H1f3 zenon_H2e zenon_H101 zenon_H1e5.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ].
% 11.33/11.50 apply (zenon_L196_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ].
% 11.33/11.50 apply (zenon_L278_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ].
% 11.33/11.50 apply (zenon_L476_); trivial.
% 11.33/11.50 exact (zenon_H1e5 zenon_He7).
% 11.33/11.50 (* end of lemma zenon_L477_ *)
% 11.33/11.50 assert (zenon_L478_ : ((op (e3) (e0)) = (e3)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H15e zenon_H33 zenon_H1e2.
% 11.33/11.50 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_H213 | zenon_intro zenon_Hf9 ].
% 11.33/11.50 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e0) (e0)) = (op (e3) (e0)))).
% 11.33/11.50 intro zenon_D_pnotp.
% 11.33/11.50 apply zenon_H1e2.
% 11.33/11.50 rewrite <- zenon_D_pnotp.
% 11.33/11.50 exact zenon_H213.
% 11.33/11.50 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 11.33/11.50 cut (((op (e3) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H23b].
% 11.33/11.50 congruence.
% 11.33/11.50 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e0) (e0)))).
% 11.33/11.50 intro zenon_D_pnotp.
% 11.33/11.50 apply zenon_H23b.
% 11.33/11.50 rewrite <- zenon_D_pnotp.
% 11.33/11.50 exact zenon_H15e.
% 11.33/11.50 cut (((e3) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 11.33/11.50 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 11.33/11.50 congruence.
% 11.33/11.50 apply zenon_Hf9. apply refl_equal.
% 11.33/11.50 apply zenon_Hd9. apply sym_equal. exact zenon_H33.
% 11.33/11.50 apply zenon_Hf9. apply refl_equal.
% 11.33/11.50 apply zenon_Hf9. apply refl_equal.
% 11.33/11.50 (* end of lemma zenon_L478_ *)
% 11.33/11.50 assert (zenon_L479_ : (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H23c zenon_H57 zenon_H7a.
% 11.33/11.50 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e1) (e3)))).
% 11.33/11.50 intro zenon_D_pnotp.
% 11.33/11.50 apply zenon_H23c.
% 11.33/11.50 rewrite <- zenon_D_pnotp.
% 11.33/11.50 exact zenon_H57.
% 11.33/11.50 cut (((e0) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H21b].
% 11.33/11.50 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 11.33/11.50 congruence.
% 11.33/11.50 apply zenon_H110. apply refl_equal.
% 11.33/11.50 apply zenon_H21b. apply sym_equal. exact zenon_H7a.
% 11.33/11.50 (* end of lemma zenon_L479_ *)
% 11.33/11.50 assert (zenon_L480_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 11.33/11.50 do 0 intro. intros zenon_Hf0 zenon_H9e zenon_H1e5 zenon_H62 zenon_H141 zenon_H15d zenon_H15e.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.33/11.50 exact (zenon_H9e zenon_H9d).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.33/11.50 exact (zenon_H1e5 zenon_He7).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.33/11.50 apply (zenon_L336_); trivial.
% 11.33/11.50 apply (zenon_L141_); trivial.
% 11.33/11.50 (* end of lemma zenon_L480_ *)
% 11.33/11.50 assert (zenon_L481_ : (~((op (e2) (op (e2) (e2))) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H23d zenon_He1.
% 11.33/11.50 cut (((op (e2) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_He2].
% 11.33/11.50 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.33/11.50 congruence.
% 11.33/11.50 apply zenon_H29. apply refl_equal.
% 11.33/11.50 exact (zenon_He2 zenon_He1).
% 11.33/11.50 (* end of lemma zenon_L481_ *)
% 11.33/11.50 assert (zenon_L482_ : ((op (e2) (e3)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e2)) = (e3)) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H96 zenon_H6f zenon_He1.
% 11.33/11.50 apply (zenon_notand_s _ _ ax6); [ zenon_intro zenon_H1ce | zenon_intro zenon_H23e ].
% 11.33/11.50 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17c | zenon_intro zenon_H17d ].
% 11.33/11.50 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((e0) = (op (e2) (op (e2) (e2))))).
% 11.33/11.50 intro zenon_D_pnotp.
% 11.33/11.50 apply zenon_H1ce.
% 11.33/11.50 rewrite <- zenon_D_pnotp.
% 11.33/11.50 exact zenon_H17c.
% 11.33/11.50 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17d].
% 11.33/11.50 cut (((op (e2) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1cf].
% 11.33/11.50 congruence.
% 11.33/11.50 cut (((op (e2) (e3)) = (e0)) = ((op (e2) (op (e2) (e2))) = (e0))).
% 11.33/11.50 intro zenon_D_pnotp.
% 11.33/11.50 apply zenon_H1cf.
% 11.33/11.50 rewrite <- zenon_D_pnotp.
% 11.33/11.50 exact zenon_H96.
% 11.33/11.50 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.33/11.50 cut (((op (e2) (e3)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H23f].
% 11.33/11.50 congruence.
% 11.33/11.50 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17c | zenon_intro zenon_H17d ].
% 11.33/11.50 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e3)) = (op (e2) (op (e2) (e2))))).
% 11.33/11.50 intro zenon_D_pnotp.
% 11.33/11.50 apply zenon_H23f.
% 11.33/11.50 rewrite <- zenon_D_pnotp.
% 11.33/11.50 exact zenon_H17c.
% 11.33/11.50 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17d].
% 11.33/11.50 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H23d].
% 11.33/11.50 congruence.
% 11.33/11.50 apply (zenon_L481_); trivial.
% 11.33/11.50 apply zenon_H17d. apply refl_equal.
% 11.33/11.50 apply zenon_H17d. apply refl_equal.
% 11.33/11.50 apply zenon_H1d. apply refl_equal.
% 11.33/11.50 apply zenon_H17d. apply refl_equal.
% 11.33/11.50 apply zenon_H17d. apply refl_equal.
% 11.33/11.50 apply (zenon_notand_s _ _ zenon_H23e); [ zenon_intro zenon_H240 | zenon_intro zenon_H19b ].
% 11.33/11.50 elim (classic ((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2)))))); [ zenon_intro zenon_H182 | zenon_intro zenon_H183 ].
% 11.33/11.50 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2))))) = ((e1) = (op (e2) (op (e2) (op (e2) (e2)))))).
% 11.33/11.50 intro zenon_D_pnotp.
% 11.33/11.50 apply zenon_H240.
% 11.33/11.50 rewrite <- zenon_D_pnotp.
% 11.33/11.50 exact zenon_H182.
% 11.33/11.50 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2)))))); [idtac | apply NNPP; zenon_intro zenon_H183].
% 11.33/11.50 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H241].
% 11.33/11.50 congruence.
% 11.33/11.50 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (op (e2) (op (e2) (e2)))) = (e1))).
% 11.33/11.50 intro zenon_D_pnotp.
% 11.33/11.50 apply zenon_H241.
% 11.33/11.50 rewrite <- zenon_D_pnotp.
% 11.33/11.50 exact zenon_H6f.
% 11.33/11.50 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.33/11.50 cut (((op (e2) (e0)) = (op (e2) (op (e2) (op (e2) (e2)))))); [idtac | apply NNPP; zenon_intro zenon_H1d2].
% 11.33/11.50 congruence.
% 11.33/11.50 elim (classic ((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2)))))); [ zenon_intro zenon_H182 | zenon_intro zenon_H183 ].
% 11.33/11.50 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2))))) = ((op (e2) (e0)) = (op (e2) (op (e2) (op (e2) (e2)))))).
% 11.33/11.50 intro zenon_D_pnotp.
% 11.33/11.50 apply zenon_H1d2.
% 11.33/11.50 rewrite <- zenon_D_pnotp.
% 11.33/11.50 exact zenon_H182.
% 11.33/11.50 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2)))))); [idtac | apply NNPP; zenon_intro zenon_H183].
% 11.33/11.50 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1d3].
% 11.33/11.50 congruence.
% 11.33/11.50 cut (((op (e2) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1cf].
% 11.33/11.50 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.33/11.50 congruence.
% 11.33/11.50 apply zenon_H29. apply refl_equal.
% 11.33/11.50 cut (((op (e2) (e3)) = (e0)) = ((op (e2) (op (e2) (e2))) = (e0))).
% 11.33/11.50 intro zenon_D_pnotp.
% 11.33/11.50 apply zenon_H1cf.
% 11.33/11.50 rewrite <- zenon_D_pnotp.
% 11.33/11.50 exact zenon_H96.
% 11.33/11.50 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.33/11.50 cut (((op (e2) (e3)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H23f].
% 11.33/11.50 congruence.
% 11.33/11.50 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17c | zenon_intro zenon_H17d ].
% 11.33/11.50 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e3)) = (op (e2) (op (e2) (e2))))).
% 11.33/11.50 intro zenon_D_pnotp.
% 11.33/11.50 apply zenon_H23f.
% 11.33/11.50 rewrite <- zenon_D_pnotp.
% 11.33/11.50 exact zenon_H17c.
% 11.33/11.50 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17d].
% 11.33/11.50 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H23d].
% 11.33/11.50 congruence.
% 11.33/11.50 apply (zenon_L481_); trivial.
% 11.33/11.50 apply zenon_H17d. apply refl_equal.
% 11.33/11.50 apply zenon_H17d. apply refl_equal.
% 11.33/11.50 apply zenon_H1d. apply refl_equal.
% 11.33/11.50 apply zenon_H183. apply refl_equal.
% 11.33/11.50 apply zenon_H183. apply refl_equal.
% 11.33/11.50 apply zenon_H22. apply refl_equal.
% 11.33/11.50 apply zenon_H183. apply refl_equal.
% 11.33/11.50 apply zenon_H183. apply refl_equal.
% 11.33/11.50 apply zenon_H19b. apply sym_equal. exact zenon_He1.
% 11.33/11.50 (* end of lemma zenon_L482_ *)
% 11.33/11.50 assert (zenon_L483_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H117 zenon_H8b zenon_H164.
% 11.33/11.50 cut (((op (e1) (e3)) = (e3)) = ((op (e1) (e3)) = (op (e2) (e3)))).
% 11.33/11.50 intro zenon_D_pnotp.
% 11.33/11.50 apply zenon_H117.
% 11.33/11.50 rewrite <- zenon_D_pnotp.
% 11.33/11.50 exact zenon_H8b.
% 11.33/11.50 cut (((e3) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H166].
% 11.33/11.50 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a].
% 11.33/11.50 congruence.
% 11.33/11.50 apply zenon_H11a. apply refl_equal.
% 11.33/11.50 apply zenon_H166. apply sym_equal. exact zenon_H164.
% 11.33/11.50 (* end of lemma zenon_L483_ *)
% 11.33/11.50 assert (zenon_L484_ : (((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 (e3) (e3)) = (e0))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H167 zenon_H226 zenon_H15e zenon_H39 zenon_Hcb zenon_H9e zenon_H6f zenon_H34 zenon_H47 zenon_H20 zenon_Hb9 zenon_H117 zenon_H8b.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ].
% 11.33/11.50 apply (zenon_L438_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ].
% 11.33/11.50 apply (zenon_L162_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.33/11.50 apply (zenon_L182_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.33/11.50 apply (zenon_L36_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.33/11.50 apply (zenon_L482_); trivial.
% 11.33/11.50 exact (zenon_H9e zenon_H9d).
% 11.33/11.50 apply (zenon_L483_); trivial.
% 11.33/11.50 (* end of lemma zenon_L484_ *)
% 11.33/11.50 assert (zenon_L485_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((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 (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H154 zenon_H96 zenon_H61 zenon_H15d zenon_H141 zenon_H1e5 zenon_Hf0 zenon_H167 zenon_H226 zenon_H15e zenon_H39 zenon_Hcb zenon_H9e zenon_H6f zenon_H34 zenon_H47 zenon_H20 zenon_Hb9 zenon_H117.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H7a | zenon_intro zenon_H155 ].
% 11.33/11.50 apply (zenon_L187_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H90 | zenon_intro zenon_H156 ].
% 11.33/11.50 apply (zenon_L127_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 11.33/11.50 apply (zenon_L480_); trivial.
% 11.33/11.50 apply (zenon_L484_); trivial.
% 11.33/11.50 (* end of lemma zenon_L485_ *)
% 11.33/11.50 assert (zenon_L486_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((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 (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H44 zenon_H1e2 zenon_H9e zenon_H154 zenon_H61 zenon_H15d zenon_H141 zenon_H1e5 zenon_Hf0 zenon_H167 zenon_H226 zenon_H15e zenon_Hcb zenon_H6f zenon_H20 zenon_Hb9 zenon_H117 zenon_H23c zenon_H57 zenon_H34 zenon_Hd0 zenon_H47 zenon_H3c.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.50 apply (zenon_L478_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.33/11.50 apply (zenon_L182_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.33/11.50 apply (zenon_L479_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.33/11.50 apply (zenon_L485_); trivial.
% 11.33/11.50 exact (zenon_H9e zenon_H9d).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.50 apply (zenon_L59_); trivial.
% 11.33/11.50 apply (zenon_L14_); trivial.
% 11.33/11.50 (* end of lemma zenon_L486_ *)
% 11.33/11.50 assert (zenon_L487_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H11b zenon_H20 zenon_H6e zenon_H56 zenon_H157 zenon_H11c zenon_H16e zenon_H47.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.33/11.50 apply (zenon_L29_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.33/11.50 apply (zenon_L239_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.33/11.50 exact (zenon_H11c zenon_H11f).
% 11.33/11.50 apply (zenon_L150_); trivial.
% 11.33/11.50 (* end of lemma zenon_L487_ *)
% 11.33/11.50 assert (zenon_L488_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H4c zenon_H4d zenon_H10b zenon_Hd0 zenon_H11b zenon_H20 zenon_H6e zenon_H56 zenon_H157 zenon_H11c zenon_H16e.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.50 exact (zenon_H4d zenon_H4f).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.50 apply (zenon_L223_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.50 apply (zenon_L61_); trivial.
% 11.33/11.50 apply (zenon_L487_); trivial.
% 11.33/11.50 (* end of lemma zenon_L488_ *)
% 11.33/11.50 assert (zenon_L489_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H4c zenon_H4d zenon_H10b zenon_H1e5 zenon_H101 zenon_H1f3 zenon_H56 zenon_H3c zenon_H15e zenon_H1f0 zenon_H72 zenon_H20.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.50 exact (zenon_H4d zenon_H4f).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.50 apply (zenon_L223_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.50 apply (zenon_L477_); trivial.
% 11.33/11.50 apply (zenon_L182_); trivial.
% 11.33/11.50 (* end of lemma zenon_L489_ *)
% 11.33/11.50 assert (zenon_L490_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H44 zenon_H1e2 zenon_H117 zenon_Hb9 zenon_H20 zenon_H6f zenon_H9e zenon_Hcb zenon_H15e zenon_H226 zenon_H167 zenon_Hf0 zenon_H1e5 zenon_H141 zenon_H15d zenon_H61 zenon_H154 zenon_H65 zenon_H27 zenon_Hc7 zenon_Hfa zenon_H34 zenon_Hd0 zenon_H47 zenon_H3c.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.50 apply (zenon_L478_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.33/11.50 apply (zenon_L29_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.33/11.50 apply (zenon_L164_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.33/11.50 apply (zenon_L165_); trivial.
% 11.33/11.50 apply (zenon_L485_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.50 apply (zenon_L59_); trivial.
% 11.33/11.50 apply (zenon_L14_); trivial.
% 11.33/11.50 (* end of lemma zenon_L490_ *)
% 11.33/11.50 assert (zenon_L491_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H1fe zenon_H222 zenon_H1e zenon_H1f3 zenon_H56 zenon_Hf0 zenon_H15e zenon_H15d zenon_He5 zenon_H9e zenon_H16a zenon_H223.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ].
% 11.33/11.50 apply (zenon_L475_); trivial.
% 11.33/11.50 apply (zenon_L474_); trivial.
% 11.33/11.50 (* end of lemma zenon_L491_ *)
% 11.33/11.50 assert (zenon_L492_ : (((op (e1) (e1)) = (e1))/\(((~((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) (e0)) = (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) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> False).
% 11.33/11.50 do 0 intro. intros zenon_H53 zenon_H234 zenon_H223 zenon_H16a zenon_H9e zenon_He5 zenon_H15d zenon_H15e zenon_Hf0 zenon_H1f3 zenon_H222 zenon_H12d zenon_H11b zenon_H16e zenon_H157 zenon_H10b zenon_H1f0 zenon_H101 zenon_H3c zenon_Hb7 zenon_H1e2 zenon_H117 zenon_H61 zenon_H141 zenon_H167 zenon_H34 zenon_Hb9 zenon_Hcb zenon_H226 zenon_H154 zenon_H23c zenon_H20 zenon_H44 zenon_H1ca zenon_H4c zenon_H18f zenon_H27 zenon_H65 zenon_Hfa.
% 11.33/11.50 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 11.33/11.50 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf.
% 11.33/11.50 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc.
% 11.33/11.50 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H4d | zenon_intro zenon_H1e ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.33/11.50 exact (zenon_H234 zenon_H25).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.33/11.50 apply (zenon_L475_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.33/11.50 exact (zenon_H234 zenon_H25).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.50 exact (zenon_H4d zenon_H4f).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.50 apply (zenon_L223_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.50 apply (zenon_L477_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.33/11.50 exact (zenon_H4d zenon_H4f).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.33/11.50 apply (zenon_L459_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.33/11.50 apply (zenon_L486_); trivial.
% 11.33/11.50 apply (zenon_L196_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.33/11.50 apply (zenon_L488_); trivial.
% 11.33/11.50 apply (zenon_L201_); trivial.
% 11.33/11.50 apply (zenon_L489_); trivial.
% 11.33/11.50 apply (zenon_L474_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.33/11.50 exact (zenon_H234 zenon_H25).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.33/11.50 apply (zenon_L475_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.50 exact (zenon_H4d zenon_H4f).
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.50 apply (zenon_L223_); trivial.
% 11.33/11.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.51 apply (zenon_L61_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.33/11.51 exact (zenon_H4d zenon_H4f).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.33/11.51 apply (zenon_L459_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.33/11.51 apply (zenon_L490_); trivial.
% 11.33/11.51 apply (zenon_L196_); trivial.
% 11.33/11.51 apply (zenon_L489_); trivial.
% 11.33/11.51 apply (zenon_L474_); trivial.
% 11.33/11.51 apply (zenon_L491_); trivial.
% 11.33/11.51 (* end of lemma zenon_L492_ *)
% 11.33/11.51 assert (zenon_L493_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 11.33/11.51 do 0 intro. intros zenon_Hb0 zenon_H15e zenon_H41 zenon_H2c zenon_H222 zenon_H5a zenon_Had zenon_Hb1.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.33/11.51 apply (zenon_L302_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.33/11.51 apply (zenon_L355_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.33/11.51 apply (zenon_L46_); trivial.
% 11.33/11.51 exact (zenon_Hb1 zenon_Hb4).
% 11.33/11.51 (* end of lemma zenon_L493_ *)
% 11.33/11.51 assert (zenon_L494_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H44 zenon_H1e2 zenon_H15e zenon_H34 zenon_H1e zenon_H3c zenon_H2e zenon_H3f zenon_H41.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.51 apply (zenon_L478_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.51 apply (zenon_L8_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.51 apply (zenon_L9_); trivial.
% 11.33/11.51 apply (zenon_L11_); trivial.
% 11.33/11.51 (* end of lemma zenon_L494_ *)
% 11.33/11.51 assert (zenon_L495_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H49 zenon_H2b zenon_Hb1 zenon_Had zenon_H5a zenon_H222 zenon_Hb0 zenon_H30 zenon_H44 zenon_H1e2 zenon_H15e zenon_H34 zenon_H1e zenon_H3c zenon_H2e zenon_H41.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.51 exact (zenon_H2b zenon_H26).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.51 apply (zenon_L493_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.51 apply (zenon_L6_); trivial.
% 11.33/11.51 apply (zenon_L494_); trivial.
% 11.33/11.51 (* end of lemma zenon_L495_ *)
% 11.33/11.51 assert (zenon_L496_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (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) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H49 zenon_H2b zenon_Hb1 zenon_Had zenon_H222 zenon_H41 zenon_H15e zenon_Hb0 zenon_H65 zenon_H5a zenon_H72 zenon_H27.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.51 exact (zenon_H2b zenon_H26).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.51 apply (zenon_L493_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.51 apply (zenon_L23_); trivial.
% 11.33/11.51 apply (zenon_L180_); trivial.
% 11.33/11.51 (* end of lemma zenon_L496_ *)
% 11.33/11.51 assert (zenon_L497_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e2)) -> ((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))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.33/11.51 do 0 intro. intros zenon_Hb9 zenon_H27 zenon_H5a zenon_H65 zenon_Hb0 zenon_H41 zenon_H222 zenon_Had zenon_Hb1 zenon_H2b zenon_H49 zenon_H34 zenon_H88 zenon_H3c zenon_H58 zenon_H15e zenon_H212 zenon_H8d zenon_H6e zenon_H95 zenon_H9e.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.33/11.51 apply (zenon_L496_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.33/11.51 apply (zenon_L300_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.33/11.51 apply (zenon_L40_); trivial.
% 11.33/11.51 exact (zenon_H9e zenon_H9d).
% 11.33/11.51 (* end of lemma zenon_L497_ *)
% 11.33/11.51 assert (zenon_L498_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H242 zenon_H9e zenon_H95 zenon_H8d zenon_H212 zenon_H58 zenon_H3c zenon_H88 zenon_H34 zenon_H49 zenon_H2b zenon_Hb1 zenon_Had zenon_H222 zenon_H41 zenon_Hb0 zenon_H65 zenon_H27 zenon_Hb9 zenon_Hc5 zenon_Hc4 zenon_Hc0 zenon_H5a zenon_H15e zenon_H226.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H6e | zenon_intro zenon_H243 ].
% 11.33/11.51 apply (zenon_L497_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H6f | zenon_intro zenon_H244 ].
% 11.33/11.51 apply (zenon_L53_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H152 ].
% 11.33/11.51 apply (zenon_L50_); trivial.
% 11.33/11.51 apply (zenon_L438_); trivial.
% 11.33/11.51 (* end of lemma zenon_L498_ *)
% 11.33/11.51 assert (zenon_L499_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 11.33/11.51 do 0 intro. intros zenon_Hf0 zenon_H9e zenon_He6 zenon_He5 zenon_Hb1 zenon_H15d zenon_H15e.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.33/11.51 exact (zenon_H9e zenon_H9d).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.33/11.51 apply (zenon_L72_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.33/11.51 exact (zenon_Hb1 zenon_Hb4).
% 11.33/11.51 apply (zenon_L141_); trivial.
% 11.33/11.51 (* end of lemma zenon_L499_ *)
% 11.33/11.51 assert (zenon_L500_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 11.33/11.51 do 0 intro. intros zenon_Hf0 zenon_H9e zenon_H9a zenon_H120 zenon_Hb1 zenon_H15d zenon_H15e.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.33/11.51 exact (zenon_H9e zenon_H9d).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.33/11.51 apply (zenon_L266_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.33/11.51 exact (zenon_Hb1 zenon_Hb4).
% 11.33/11.51 apply (zenon_L141_); trivial.
% 11.33/11.51 (* end of lemma zenon_L500_ *)
% 11.33/11.51 assert (zenon_L501_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e3)) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e2)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H122 zenon_H15e zenon_H34 zenon_H27 zenon_Ha4 zenon_Hd0 zenon_H101 zenon_H9e.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ].
% 11.33/11.51 apply (zenon_L201_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ].
% 11.33/11.51 apply (zenon_L98_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ].
% 11.33/11.51 apply (zenon_L416_); trivial.
% 11.33/11.51 exact (zenon_H9e zenon_H9d).
% 11.33/11.51 (* end of lemma zenon_L501_ *)
% 11.33/11.51 assert (zenon_L502_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 11.33/11.51 do 0 intro. intros zenon_Hb0 zenon_H15d zenon_H120 zenon_Hf0 zenon_H9e zenon_H101 zenon_Hd0 zenon_H27 zenon_H34 zenon_H15e zenon_H122 zenon_H5a zenon_Had zenon_Hb1.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.33/11.51 apply (zenon_L500_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.33/11.51 apply (zenon_L501_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.33/11.51 apply (zenon_L46_); trivial.
% 11.33/11.51 exact (zenon_Hb1 zenon_Hb4).
% 11.33/11.51 (* end of lemma zenon_L502_ *)
% 11.33/11.51 assert (zenon_L503_ : (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e3)) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (((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)) = (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).
% 11.33/11.51 do 0 intro. intros zenon_Hb1 zenon_Had zenon_H5a zenon_H122 zenon_H15e zenon_H34 zenon_H27 zenon_Hf0 zenon_H15d zenon_Hb0 zenon_Hd0 zenon_H101 zenon_H9e.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ].
% 11.33/11.51 apply (zenon_L201_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ].
% 11.33/11.51 apply (zenon_L502_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ].
% 11.33/11.51 apply (zenon_L416_); trivial.
% 11.33/11.51 exact (zenon_H9e zenon_H9d).
% 11.33/11.51 (* end of lemma zenon_L503_ *)
% 11.33/11.51 assert (zenon_L504_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (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) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H138 zenon_Hf6 zenon_H234 zenon_Hb8 zenon_H20 zenon_H216 zenon_H88 zenon_H242 zenon_H226 zenon_Hc0 zenon_Hc4 zenon_H49 zenon_H27 zenon_H65 zenon_H41 zenon_H15e zenon_H222 zenon_Had zenon_H5a zenon_Hb0 zenon_H8d zenon_H34 zenon_H3c zenon_H212 zenon_H95 zenon_H9e zenon_Hb9 zenon_Hf0 zenon_H15d zenon_He5 zenon_H105 zenon_H2b zenon_H122 zenon_H101 zenon_H18f.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ].
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.33/11.51 exact (zenon_H234 zenon_H25).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.33/11.51 exact (zenon_H2b zenon_H26).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.33/11.51 apply (zenon_L2_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.33/11.51 apply (zenon_L304_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.33/11.51 apply (zenon_L498_); trivial.
% 11.33/11.51 apply (zenon_L499_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.33/11.51 apply (zenon_L50_); trivial.
% 11.33/11.51 apply (zenon_L302_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.33/11.51 apply (zenon_L503_); trivial.
% 11.33/11.51 apply (zenon_L496_); trivial.
% 11.33/11.51 apply (zenon_L269_); trivial.
% 11.33/11.51 (* end of lemma zenon_L504_ *)
% 11.33/11.51 assert (zenon_L505_ : (~((e1) = (e2))) -> ((op (e2) (e2)) = (e2)) -> ((op (e2) (e2)) = (e1)) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H30 zenon_H5a zenon_H11f.
% 11.33/11.51 cut (((op (e2) (e2)) = (e2)) = ((e1) = (e2))).
% 11.33/11.51 intro zenon_D_pnotp.
% 11.33/11.51 apply zenon_H30.
% 11.33/11.51 rewrite <- zenon_D_pnotp.
% 11.33/11.51 exact zenon_H5a.
% 11.33/11.51 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.33/11.51 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H11c].
% 11.33/11.51 congruence.
% 11.33/11.51 exact (zenon_H11c zenon_H11f).
% 11.33/11.51 apply zenon_H29. apply refl_equal.
% 11.33/11.51 (* end of lemma zenon_L505_ *)
% 11.33/11.51 assert (zenon_L506_ : (((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) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H245 zenon_H57 zenon_H10e zenon_H1d9 zenon_H125 zenon_H5c zenon_H5a zenon_H13f zenon_H3b.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_He0 | zenon_intro zenon_H246 ].
% 11.33/11.51 apply (zenon_L88_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H88 | zenon_intro zenon_H247 ].
% 11.33/11.51 apply (zenon_L393_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H5b | zenon_intro zenon_H89 ].
% 11.33/11.51 apply (zenon_L21_); trivial.
% 11.33/11.51 apply (zenon_L119_); trivial.
% 11.33/11.51 (* end of lemma zenon_L506_ *)
% 11.33/11.51 assert (zenon_L507_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H13a zenon_H47 zenon_He7.
% 11.33/11.51 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e3) (e3)))).
% 11.33/11.51 intro zenon_D_pnotp.
% 11.33/11.51 apply zenon_H13a.
% 11.33/11.51 rewrite <- zenon_D_pnotp.
% 11.33/11.51 exact zenon_H47.
% 11.33/11.51 cut (((e1) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He8].
% 11.33/11.51 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 11.33/11.51 congruence.
% 11.33/11.51 apply zenon_H64. apply refl_equal.
% 11.33/11.51 apply zenon_He8. apply sym_equal. exact zenon_He7.
% 11.33/11.51 (* end of lemma zenon_L507_ *)
% 11.33/11.51 assert (zenon_L508_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 11.33/11.51 do 0 intro. intros zenon_Hf0 zenon_H9e zenon_H47 zenon_H13a zenon_Hb1 zenon_H15d zenon_H15e.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.33/11.51 exact (zenon_H9e zenon_H9d).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.33/11.51 apply (zenon_L507_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.33/11.51 exact (zenon_Hb1 zenon_Hb4).
% 11.33/11.51 apply (zenon_L141_); trivial.
% 11.33/11.51 (* end of lemma zenon_L508_ *)
% 11.33/11.51 assert (zenon_L509_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((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 (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (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 (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H4c zenon_H22e zenon_H18f zenon_H101 zenon_H122 zenon_H105 zenon_He5 zenon_Hb9 zenon_H95 zenon_H212 zenon_H8d zenon_H65 zenon_H27 zenon_Hc4 zenon_Hc0 zenon_H226 zenon_H242 zenon_H216 zenon_Hb8 zenon_H234 zenon_Hf6 zenon_H138 zenon_H245 zenon_H57 zenon_H10e zenon_H125 zenon_H5c zenon_H13f zenon_H20 zenon_H41 zenon_H3c zenon_H1e zenon_H34 zenon_H1e2 zenon_H44 zenon_H30 zenon_Hb0 zenon_H222 zenon_H5a zenon_Had zenon_H2b zenon_H49 zenon_Hf0 zenon_H9e zenon_H13a zenon_Hb1 zenon_H15d zenon_H15e.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.51 exact (zenon_H2b zenon_H26).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.51 apply (zenon_L493_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.51 apply (zenon_L23_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.51 apply (zenon_L58_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.51 apply (zenon_L8_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.33/11.51 apply (zenon_L495_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.33/11.51 apply (zenon_L504_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.33/11.51 apply (zenon_L505_); trivial.
% 11.33/11.51 apply (zenon_L506_); trivial.
% 11.33/11.51 apply (zenon_L11_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.51 apply (zenon_L2_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.51 apply (zenon_L495_); trivial.
% 11.33/11.51 apply (zenon_L508_); trivial.
% 11.33/11.51 (* end of lemma zenon_L509_ *)
% 11.33/11.51 assert (zenon_L510_ : ((op (e1) (e1)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H56 zenon_H78 zenon_H3c.
% 11.33/11.51 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.33/11.51 cut (((e3) = (e3)) = ((e1) = (e3))).
% 11.33/11.51 intro zenon_D_pnotp.
% 11.33/11.51 apply zenon_H3c.
% 11.33/11.51 rewrite <- zenon_D_pnotp.
% 11.33/11.51 exact zenon_H35.
% 11.33/11.51 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.33/11.51 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 11.33/11.51 congruence.
% 11.33/11.51 cut (((op (e1) (e1)) = (e1)) = ((e3) = (e1))).
% 11.33/11.51 intro zenon_D_pnotp.
% 11.33/11.51 apply zenon_H3d.
% 11.33/11.51 rewrite <- zenon_D_pnotp.
% 11.33/11.51 exact zenon_H56.
% 11.33/11.51 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.33/11.51 cut (((op (e1) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H79].
% 11.33/11.51 congruence.
% 11.33/11.51 exact (zenon_H79 zenon_H78).
% 11.33/11.51 apply zenon_H22. apply refl_equal.
% 11.33/11.51 apply zenon_H36. apply refl_equal.
% 11.33/11.51 apply zenon_H36. apply refl_equal.
% 11.33/11.51 (* end of lemma zenon_L510_ *)
% 11.33/11.51 assert (zenon_L511_ : (((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) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H197 zenon_H27 zenon_H72 zenon_H41 zenon_H8b zenon_H5a zenon_H192 zenon_Hb1.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H3f | zenon_intro zenon_H198 ].
% 11.33/11.51 apply (zenon_L180_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H62 | zenon_intro zenon_H199 ].
% 11.33/11.51 apply (zenon_L465_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H18a | zenon_intro zenon_Hb4 ].
% 11.33/11.51 apply (zenon_L186_); trivial.
% 11.33/11.51 exact (zenon_Hb1 zenon_Hb4).
% 11.33/11.51 (* end of lemma zenon_L511_ *)
% 11.33/11.51 assert (zenon_L512_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.33/11.51 do 0 intro. intros zenon_Hb9 zenon_Hb1 zenon_H192 zenon_H5a zenon_H41 zenon_H27 zenon_H197 zenon_H34 zenon_H8b zenon_H6e zenon_H95 zenon_H9e.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.33/11.51 apply (zenon_L511_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.33/11.51 apply (zenon_L36_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.33/11.51 apply (zenon_L40_); trivial.
% 11.33/11.51 exact (zenon_H9e zenon_H9d).
% 11.33/11.51 (* end of lemma zenon_L512_ *)
% 11.33/11.51 assert (zenon_L513_ : (((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 (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H245 zenon_H228 zenon_H7a zenon_H1d9 zenon_H125 zenon_H5c zenon_H5a zenon_H13f zenon_H3b.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_He0 | zenon_intro zenon_H246 ].
% 11.33/11.51 apply (zenon_L364_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H88 | zenon_intro zenon_H247 ].
% 11.33/11.51 apply (zenon_L393_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H5b | zenon_intro zenon_H89 ].
% 11.33/11.51 apply (zenon_L21_); trivial.
% 11.33/11.51 apply (zenon_L119_); trivial.
% 11.33/11.51 (* end of lemma zenon_L513_ *)
% 11.33/11.51 assert (zenon_L514_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H138 zenon_Hf6 zenon_H34 zenon_H15e zenon_Hb0 zenon_H5a zenon_Had zenon_H27 zenon_H101 zenon_Hd0 zenon_H122 zenon_H9e zenon_H15d zenon_Hf0.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ].
% 11.33/11.51 apply (zenon_L503_); trivial.
% 11.33/11.51 apply (zenon_L269_); trivial.
% 11.33/11.51 (* end of lemma zenon_L514_ *)
% 11.33/11.51 assert (zenon_L515_ : ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((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)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((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) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((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)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (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 (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((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 (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H1b0 zenon_Hfa zenon_H1ca zenon_H23c zenon_H154 zenon_Hcb zenon_H167 zenon_H141 zenon_H61 zenon_H117 zenon_Hb7 zenon_H1f0 zenon_H10b zenon_H157 zenon_H16e zenon_H11b zenon_H1f3 zenon_H16a zenon_H223 zenon_H234 zenon_H12d zenon_H197 zenon_H192 zenon_H228 zenon_H3c zenon_H34 zenon_H22e zenon_H10e zenon_H125 zenon_H5c zenon_H13f zenon_H245 zenon_H18f zenon_H101 zenon_H122 zenon_H105 zenon_He5 zenon_Hf0 zenon_Hb9 zenon_H9e zenon_H95 zenon_H212 zenon_H8d zenon_H27 zenon_Hc4 zenon_Hc0 zenon_H226 zenon_H242 zenon_H216 zenon_H20 zenon_Hb8 zenon_Hf6 zenon_H30 zenon_H44 zenon_H1e2 zenon_H49 zenon_H65 zenon_H41 zenon_H222 zenon_Had zenon_Hb0 zenon_H13a zenon_H4c zenon_H15d zenon_H15e.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.33/11.51 apply (zenon_L458_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.33/11.51 apply (zenon_L492_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.33/11.51 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133.
% 11.33/11.51 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134.
% 11.33/11.51 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136.
% 11.33/11.51 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H139. zenon_intro zenon_H138.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ].
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ].
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.33/11.51 exact (zenon_H234 zenon_H25).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.33/11.51 exact (zenon_H234 zenon_H25).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.33/11.51 apply (zenon_L509_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.51 exact (zenon_H2b zenon_H26).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.51 apply (zenon_L493_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.51 apply (zenon_L23_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.33/11.51 exact (zenon_H2b zenon_H26).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.51 apply (zenon_L58_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.51 apply (zenon_L8_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.33/11.51 apply (zenon_L2_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.33/11.51 apply (zenon_L299_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.33/11.51 apply (zenon_L510_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.33/11.51 apply (zenon_L119_); trivial.
% 11.33/11.51 apply (zenon_L512_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.33/11.51 apply (zenon_L9_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.33/11.51 apply (zenon_L498_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.33/11.51 apply (zenon_L505_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.33/11.51 apply (zenon_L180_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.33/11.51 apply (zenon_L513_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.33/11.51 apply (zenon_L40_); trivial.
% 11.33/11.51 exact (zenon_H9e zenon_H9d).
% 11.33/11.51 apply (zenon_L499_); trivial.
% 11.33/11.51 apply (zenon_L11_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.33/11.51 apply (zenon_L50_); trivial.
% 11.33/11.51 apply (zenon_L302_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.51 apply (zenon_L2_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.51 apply (zenon_L495_); trivial.
% 11.33/11.51 apply (zenon_L508_); trivial.
% 11.33/11.51 apply (zenon_L201_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.33/11.51 apply (zenon_L503_); trivial.
% 11.33/11.51 apply (zenon_L496_); trivial.
% 11.33/11.51 apply (zenon_L269_); trivial.
% 11.33/11.51 apply (zenon_L514_); trivial.
% 11.33/11.51 apply (zenon_L142_); trivial.
% 11.33/11.51 (* end of lemma zenon_L515_ *)
% 11.33/11.51 assert (zenon_L516_ : (((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))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H8d zenon_H3c zenon_H6d zenon_H79 zenon_H34 zenon_He0 zenon_Hed zenon_H141.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.33/11.51 apply (zenon_L123_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.33/11.51 exact (zenon_H79 zenon_H78).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.33/11.51 apply (zenon_L69_); trivial.
% 11.33/11.51 apply (zenon_L120_); trivial.
% 11.33/11.51 (* end of lemma zenon_L516_ *)
% 11.33/11.51 assert (zenon_L517_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((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) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H113 zenon_H20 zenon_H207 zenon_H141 zenon_Hed zenon_H34 zenon_H79 zenon_H6d zenon_H3c zenon_H8d zenon_H61 zenon_H72.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.33/11.51 apply (zenon_L423_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.33/11.51 exact (zenon_H207 zenon_H10c).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.33/11.51 apply (zenon_L516_); trivial.
% 11.33/11.51 apply (zenon_L335_); trivial.
% 11.33/11.51 (* end of lemma zenon_L517_ *)
% 11.33/11.51 assert (zenon_L518_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (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))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (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) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H203 zenon_H34 zenon_H39 zenon_H207 zenon_H152 zenon_Hc0 zenon_Had zenon_H65 zenon_Hd0 zenon_H19c zenon_H192 zenon_H18a zenon_H5c zenon_H27 zenon_H19f zenon_H16a zenon_Hc3.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.33/11.51 apply (zenon_L8_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.33/11.51 exact (zenon_H207 zenon_H10c).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.33/11.51 apply (zenon_L428_); trivial.
% 11.33/11.51 apply (zenon_L258_); trivial.
% 11.33/11.51 (* end of lemma zenon_L518_ *)
% 11.33/11.51 assert (zenon_L519_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H90 zenon_H6d zenon_H23c.
% 11.33/11.51 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H150 | zenon_intro zenon_H11a ].
% 11.33/11.51 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e0)) = (op (e1) (e3)))).
% 11.33/11.51 intro zenon_D_pnotp.
% 11.33/11.51 apply zenon_H23c.
% 11.33/11.51 rewrite <- zenon_D_pnotp.
% 11.33/11.51 exact zenon_H150.
% 11.33/11.51 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a].
% 11.33/11.51 cut (((op (e1) (e3)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H248].
% 11.33/11.51 congruence.
% 11.33/11.51 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e1) (e0)))).
% 11.33/11.51 intro zenon_D_pnotp.
% 11.33/11.51 apply zenon_H248.
% 11.33/11.51 rewrite <- zenon_D_pnotp.
% 11.33/11.51 exact zenon_H90.
% 11.33/11.51 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H12c].
% 11.33/11.51 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a].
% 11.33/11.51 congruence.
% 11.33/11.51 apply zenon_H11a. apply refl_equal.
% 11.33/11.51 apply zenon_H12c. apply sym_equal. exact zenon_H6d.
% 11.33/11.51 apply zenon_H11a. apply refl_equal.
% 11.33/11.51 apply zenon_H11a. apply refl_equal.
% 11.33/11.51 (* end of lemma zenon_L519_ *)
% 11.33/11.51 assert (zenon_L520_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H154 zenon_H72 zenon_H61 zenon_He7 zenon_H117 zenon_H18a zenon_Hed zenon_H141.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H7a | zenon_intro zenon_H155 ].
% 11.33/11.51 apply (zenon_L335_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H90 | zenon_intro zenon_H156 ].
% 11.33/11.51 apply (zenon_L248_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 11.33/11.51 apply (zenon_L332_); trivial.
% 11.33/11.51 apply (zenon_L120_); trivial.
% 11.33/11.51 (* end of lemma zenon_L520_ *)
% 11.33/11.51 assert (zenon_L521_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H1d5 zenon_H71 zenon_H1f zenon_H23c zenon_H6d zenon_H30 zenon_H154 zenon_H72 zenon_H61 zenon_H117 zenon_H18a zenon_Hed zenon_H141.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H47 | zenon_intro zenon_H1d6 ].
% 11.33/11.51 apply (zenon_L199_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H90 | zenon_intro zenon_H1d7 ].
% 11.33/11.51 apply (zenon_L519_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H118 | zenon_intro zenon_He7 ].
% 11.33/11.51 apply (zenon_L245_); trivial.
% 11.33/11.51 apply (zenon_L520_); trivial.
% 11.33/11.51 (* end of lemma zenon_L521_ *)
% 11.33/11.51 assert (zenon_L522_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H47 zenon_H2e zenon_H210.
% 11.33/11.51 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H64 ].
% 11.33/11.51 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e2)) = (op (e0) (e3)))).
% 11.33/11.51 intro zenon_D_pnotp.
% 11.33/11.51 apply zenon_H210.
% 11.33/11.51 rewrite <- zenon_D_pnotp.
% 11.33/11.51 exact zenon_H1a5.
% 11.33/11.51 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 11.33/11.51 cut (((op (e0) (e3)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H249].
% 11.33/11.51 congruence.
% 11.33/11.51 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e0) (e2)))).
% 11.33/11.51 intro zenon_D_pnotp.
% 11.33/11.51 apply zenon_H249.
% 11.33/11.51 rewrite <- zenon_D_pnotp.
% 11.33/11.51 exact zenon_H47.
% 11.33/11.51 cut (((e1) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H24a].
% 11.33/11.51 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 11.33/11.51 congruence.
% 11.33/11.51 apply zenon_H64. apply refl_equal.
% 11.33/11.51 apply zenon_H24a. apply sym_equal. exact zenon_H2e.
% 11.33/11.51 apply zenon_H64. apply refl_equal.
% 11.33/11.51 apply zenon_H64. apply refl_equal.
% 11.33/11.51 (* end of lemma zenon_L522_ *)
% 11.33/11.51 assert (zenon_L523_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H1d5 zenon_H210 zenon_H2e zenon_H23c zenon_H6d zenon_H18a zenon_H30 zenon_He5 zenon_He6.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H47 | zenon_intro zenon_H1d6 ].
% 11.33/11.51 apply (zenon_L522_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H90 | zenon_intro zenon_H1d7 ].
% 11.33/11.51 apply (zenon_L519_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H118 | zenon_intro zenon_He7 ].
% 11.33/11.51 apply (zenon_L245_); trivial.
% 11.33/11.51 apply (zenon_L72_); trivial.
% 11.33/11.51 (* end of lemma zenon_L523_ *)
% 11.33/11.51 assert (zenon_L524_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (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) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H4c zenon_H187 zenon_H71 zenon_H141 zenon_Hed zenon_H18a zenon_H117 zenon_H61 zenon_H154 zenon_H101 zenon_H1d5 zenon_H210 zenon_H23c zenon_H6d zenon_H30 zenon_He5 zenon_H212 zenon_H1f0 zenon_H72 zenon_H20.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.51 apply (zenon_L179_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.51 apply (zenon_L521_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ].
% 11.33/11.51 apply (zenon_L331_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ].
% 11.33/11.51 apply (zenon_L523_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ].
% 11.33/11.51 apply (zenon_L476_); trivial.
% 11.33/11.51 apply (zenon_L520_); trivial.
% 11.33/11.51 apply (zenon_L182_); trivial.
% 11.33/11.51 (* end of lemma zenon_L524_ *)
% 11.33/11.51 assert (zenon_L525_ : (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((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 (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (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) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H3c zenon_H8d zenon_H79 zenon_H13f zenon_H161 zenon_H38 zenon_H19f zenon_H19c zenon_H207 zenon_H203 zenon_H1b0 zenon_Hfa zenon_H1ca zenon_Hcb zenon_H167 zenon_Hb7 zenon_H10b zenon_H157 zenon_H16e zenon_H11b zenon_H1f3 zenon_H16a zenon_H223 zenon_H234 zenon_H12d zenon_H197 zenon_H192 zenon_H228 zenon_H34 zenon_H22e zenon_H10e zenon_H125 zenon_H5c zenon_H245 zenon_H18f zenon_H122 zenon_H105 zenon_Hf0 zenon_Hb9 zenon_H9e zenon_H95 zenon_H27 zenon_Hc4 zenon_Hc0 zenon_H226 zenon_H242 zenon_H216 zenon_Hb8 zenon_Hf6 zenon_H44 zenon_H1e2 zenon_H49 zenon_H65 zenon_H41 zenon_H222 zenon_Had zenon_Hb0 zenon_H13a zenon_H15d zenon_H4c zenon_H187 zenon_H71 zenon_H141 zenon_Hed zenon_H18a zenon_H117 zenon_H61 zenon_H154 zenon_H101 zenon_H1d5 zenon_H210 zenon_H23c zenon_H6d zenon_H30 zenon_He5 zenon_H212 zenon_H1f0 zenon_H20.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.33/11.51 exact (zenon_H234 zenon_H25).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.33/11.51 apply (zenon_L126_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.33/11.51 exact (zenon_H234 zenon_H25).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.33/11.51 apply (zenon_L423_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.33/11.51 apply (zenon_L207_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.51 apply (zenon_L179_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.51 apply (zenon_L471_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.51 apply (zenon_L61_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.51 exact (zenon_H38 zenon_H33).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.51 exact (zenon_H38 zenon_H33).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.51 apply (zenon_L123_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.51 apply (zenon_L518_); trivial.
% 11.33/11.51 apply (zenon_L515_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.51 apply (zenon_L124_); trivial.
% 11.33/11.51 apply (zenon_L14_); trivial.
% 11.33/11.51 apply (zenon_L524_); trivial.
% 11.33/11.51 (* end of lemma zenon_L525_ *)
% 11.33/11.51 assert (zenon_L526_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H1b6 zenon_H23c zenon_H20 zenon_H6d zenon_H207 zenon_H8d zenon_Hed zenon_H141 zenon_H34 zenon_H3c zenon_H61 zenon_H72 zenon_H113.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.33/11.51 apply (zenon_L517_); trivial.
% 11.33/11.51 apply (zenon_L519_); trivial.
% 11.33/11.51 (* end of lemma zenon_L526_ *)
% 11.33/11.51 assert (zenon_L527_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H19c zenon_Hcf zenon_H11c zenon_H65 zenon_H2f zenon_H96 zenon_H6f.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ].
% 11.33/11.51 exact (zenon_Hcf zenon_Hce).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ].
% 11.33/11.51 exact (zenon_H11c zenon_H11f).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ].
% 11.33/11.51 apply (zenon_L23_); trivial.
% 11.33/11.51 apply (zenon_L482_); trivial.
% 11.33/11.51 (* end of lemma zenon_L527_ *)
% 11.33/11.51 assert (zenon_L528_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H19c zenon_Hcf zenon_H11c zenon_H5c zenon_H5b zenon_H96 zenon_H6f.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ].
% 11.33/11.51 exact (zenon_Hcf zenon_Hce).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ].
% 11.33/11.51 exact (zenon_H11c zenon_H11f).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ].
% 11.33/11.51 apply (zenon_L21_); trivial.
% 11.33/11.51 apply (zenon_L482_); trivial.
% 11.33/11.51 (* end of lemma zenon_L528_ *)
% 11.33/11.51 assert (zenon_L529_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H19c zenon_Hcf zenon_H11c zenon_Hae zenon_Had zenon_H96 zenon_H6f.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ].
% 11.33/11.51 exact (zenon_Hcf zenon_Hce).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ].
% 11.33/11.51 exact (zenon_H11c zenon_H11f).
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ].
% 11.33/11.51 apply (zenon_L46_); trivial.
% 11.33/11.51 apply (zenon_L482_); trivial.
% 11.33/11.51 (* end of lemma zenon_L529_ *)
% 11.33/11.51 assert (zenon_L530_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.33/11.51 do 0 intro. intros zenon_H11b zenon_Had zenon_Hcf zenon_H19c zenon_Hb5 zenon_Hc0 zenon_H5c zenon_H65 zenon_H19f zenon_H56 zenon_H157 zenon_H11c zenon_H96 zenon_H20.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H2f | zenon_intro zenon_H1a0 ].
% 11.33/11.51 apply (zenon_L527_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a1 ].
% 11.33/11.51 apply (zenon_L528_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H5a | zenon_intro zenon_Hae ].
% 11.33/11.51 apply (zenon_L50_); trivial.
% 11.33/11.51 apply (zenon_L529_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.33/11.51 apply (zenon_L239_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.33/11.51 exact (zenon_H11c zenon_H11f).
% 11.33/11.51 apply (zenon_L166_); trivial.
% 11.33/11.51 (* end of lemma zenon_L530_ *)
% 11.33/11.51 assert (zenon_L531_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> False).
% 11.33/11.51 do 0 intro. intros zenon_Hfa zenon_H27 zenon_H1e zenon_Hcb zenon_H11b zenon_Had zenon_Hcf zenon_H19c zenon_Hb5 zenon_Hc0 zenon_H5c zenon_H65 zenon_H19f zenon_H56 zenon_H157 zenon_H11c zenon_H20.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.33/11.51 apply (zenon_L48_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.33/11.51 apply (zenon_L55_); trivial.
% 11.33/11.51 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.33/11.51 exact (zenon_Hcf zenon_Hce).
% 11.33/11.51 apply (zenon_L530_); trivial.
% 11.33/11.51 (* end of lemma zenon_L531_ *)
% 11.33/11.51 assert (zenon_L532_ : ((op (e2) (e1)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> False).
% 11.33/11.51 do 0 intro. intros zenon_Hc7 zenon_Hb5 zenon_Hc4.
% 11.33/11.51 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H14b | zenon_intro zenon_H14c ].
% 11.33/11.51 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e2) (e0)) = (op (e2) (e1)))).
% 11.33/11.51 intro zenon_D_pnotp.
% 11.33/11.51 apply zenon_Hc4.
% 11.33/11.51 rewrite <- zenon_D_pnotp.
% 11.33/11.51 exact zenon_H14b.
% 11.33/11.51 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 11.33/11.51 cut (((op (e2) (e1)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H24b].
% 11.33/11.51 congruence.
% 11.33/11.51 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e2) (e0)))).
% 11.33/11.51 intro zenon_D_pnotp.
% 11.33/11.51 apply zenon_H24b.
% 11.33/11.51 rewrite <- zenon_D_pnotp.
% 11.33/11.51 exact zenon_Hc7.
% 11.33/11.52 cut (((e2) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc2].
% 11.33/11.52 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 11.33/11.52 congruence.
% 11.33/11.52 apply zenon_H14c. apply refl_equal.
% 11.33/11.52 apply zenon_Hc2. apply sym_equal. exact zenon_Hb5.
% 11.33/11.52 apply zenon_H14c. apply refl_equal.
% 11.33/11.52 apply zenon_H14c. apply refl_equal.
% 11.33/11.52 (* end of lemma zenon_L532_ *)
% 11.33/11.52 assert (zenon_L533_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((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) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H1ff zenon_Hc4 zenon_H27 zenon_Hb5 zenon_Hcb zenon_H1e zenon_Hcf zenon_H11b zenon_H20 zenon_H56 zenon_H157 zenon_H19c zenon_H65 zenon_H5c zenon_Hc0 zenon_Had zenon_H19f zenon_Hfa.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ].
% 11.33/11.52 apply (zenon_L531_); trivial.
% 11.33/11.52 apply (zenon_L532_); trivial.
% 11.33/11.52 (* end of lemma zenon_L533_ *)
% 11.33/11.52 assert (zenon_L534_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False).
% 11.33/11.52 do 0 intro. intros zenon_Hf6 zenon_H99 zenon_H1d9.
% 11.33/11.52 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (e0)) = (op (e3) (e2)))).
% 11.33/11.52 intro zenon_D_pnotp.
% 11.33/11.52 apply zenon_Hf6.
% 11.33/11.52 rewrite <- zenon_D_pnotp.
% 11.33/11.52 exact zenon_H99.
% 11.33/11.52 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1da].
% 11.33/11.52 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 11.33/11.52 congruence.
% 11.33/11.52 apply zenon_Hf9. apply refl_equal.
% 11.33/11.52 apply zenon_H1da. apply sym_equal. exact zenon_H1d9.
% 11.33/11.52 (* end of lemma zenon_L534_ *)
% 11.33/11.52 assert (zenon_L535_ : (((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) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H22e zenon_H210 zenon_H47 zenon_H216 zenon_H56 zenon_H11c zenon_Hf6 zenon_H99.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.33/11.52 apply (zenon_L522_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.33/11.52 apply (zenon_L304_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.33/11.52 exact (zenon_H11c zenon_H11f).
% 11.33/11.52 apply (zenon_L534_); trivial.
% 11.33/11.52 (* end of lemma zenon_L535_ *)
% 11.33/11.52 assert (zenon_L536_ : (((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 (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((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) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_Hb7 zenon_H4d zenon_H1ca zenon_Hb5 zenon_H30 zenon_H22e zenon_H210 zenon_H47 zenon_H216 zenon_H56 zenon_H11c zenon_Hf6.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.33/11.52 exact (zenon_H4d zenon_H4f).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.33/11.52 apply (zenon_L459_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.33/11.52 apply (zenon_L108_); trivial.
% 11.33/11.52 apply (zenon_L535_); trivial.
% 11.33/11.52 (* end of lemma zenon_L536_ *)
% 11.33/11.52 assert (zenon_L537_ : (((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 (e2) (e0)) = (e2)) -> (~((e1) = (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) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H4c zenon_H10b zenon_H20 zenon_Hd0 zenon_Hb7 zenon_H4d zenon_H1ca zenon_Hb5 zenon_H30 zenon_H22e zenon_H210 zenon_H216 zenon_H56 zenon_H11c zenon_Hf6.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.52 exact (zenon_H4d zenon_H4f).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.52 apply (zenon_L223_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.52 apply (zenon_L61_); trivial.
% 11.33/11.52 apply (zenon_L536_); trivial.
% 11.33/11.52 (* end of lemma zenon_L537_ *)
% 11.33/11.52 assert (zenon_L538_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e2)) -> ((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).
% 11.33/11.52 do 0 intro. intros zenon_H1f0 zenon_H30 zenon_H9a zenon_H56 zenon_H1f3 zenon_H2e zenon_H101 zenon_H1e5.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ].
% 11.33/11.52 apply (zenon_L41_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ].
% 11.33/11.52 apply (zenon_L278_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ].
% 11.33/11.52 apply (zenon_L476_); trivial.
% 11.33/11.52 exact (zenon_H1e5 zenon_He7).
% 11.33/11.52 (* end of lemma zenon_L538_ *)
% 11.33/11.52 assert (zenon_L539_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e2)) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H24c zenon_Hb4.
% 11.33/11.52 cut (((op (e3) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hb1].
% 11.33/11.52 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.33/11.52 congruence.
% 11.33/11.52 apply zenon_H36. apply refl_equal.
% 11.33/11.52 exact (zenon_Hb1 zenon_Hb4).
% 11.33/11.52 (* end of lemma zenon_L539_ *)
% 11.33/11.52 assert (zenon_L540_ : ((op (e3) (e2)) = (e0)) -> ((op (e3) (e3)) = (e2)) -> (~((e0) = (op (e3) (op (e3) (e3))))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_Hf7 zenon_Hb4 zenon_H1e6.
% 11.33/11.52 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ].
% 11.33/11.52 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e0) = (op (e3) (op (e3) (e3))))).
% 11.33/11.52 intro zenon_D_pnotp.
% 11.33/11.52 apply zenon_H1e6.
% 11.33/11.52 rewrite <- zenon_D_pnotp.
% 11.33/11.52 exact zenon_Ha0.
% 11.33/11.52 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 11.33/11.52 cut (((op (e3) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1e7].
% 11.33/11.52 congruence.
% 11.33/11.52 cut (((op (e3) (e2)) = (e0)) = ((op (e3) (op (e3) (e3))) = (e0))).
% 11.33/11.52 intro zenon_D_pnotp.
% 11.33/11.52 apply zenon_H1e7.
% 11.33/11.52 rewrite <- zenon_D_pnotp.
% 11.33/11.52 exact zenon_Hf7.
% 11.33/11.52 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.33/11.52 cut (((op (e3) (e2)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H24d].
% 11.33/11.52 congruence.
% 11.33/11.52 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ].
% 11.33/11.52 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e2)) = (op (e3) (op (e3) (e3))))).
% 11.33/11.52 intro zenon_D_pnotp.
% 11.33/11.52 apply zenon_H24d.
% 11.33/11.52 rewrite <- zenon_D_pnotp.
% 11.33/11.52 exact zenon_Ha0.
% 11.33/11.52 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 11.33/11.52 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H24c].
% 11.33/11.52 congruence.
% 11.33/11.52 apply (zenon_L539_); trivial.
% 11.33/11.52 apply zenon_Ha1. apply refl_equal.
% 11.33/11.52 apply zenon_Ha1. apply refl_equal.
% 11.33/11.52 apply zenon_H1d. apply refl_equal.
% 11.33/11.52 apply zenon_Ha1. apply refl_equal.
% 11.33/11.52 apply zenon_Ha1. apply refl_equal.
% 11.33/11.52 (* end of lemma zenon_L540_ *)
% 11.33/11.52 assert (zenon_L541_ : ((op (e3) (e2)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> False).
% 11.33/11.52 do 0 intro. intros zenon_Hf7 zenon_H99 zenon_Hb4.
% 11.33/11.52 apply (zenon_notand_s _ _ ax7); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 11.33/11.52 apply (zenon_L540_); trivial.
% 11.33/11.52 apply (zenon_notand_s _ _ zenon_H24e); [ zenon_intro zenon_H24f | zenon_intro zenon_Hea ].
% 11.33/11.52 elim (classic ((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3)))))); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha9 ].
% 11.33/11.52 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3))))) = ((e1) = (op (e3) (op (e3) (op (e3) (e3)))))).
% 11.33/11.52 intro zenon_D_pnotp.
% 11.33/11.52 apply zenon_H24f.
% 11.33/11.52 rewrite <- zenon_D_pnotp.
% 11.33/11.52 exact zenon_Ha8.
% 11.33/11.52 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3)))))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 11.33/11.52 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H250].
% 11.33/11.52 congruence.
% 11.33/11.52 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (op (e3) (op (e3) (e3)))) = (e1))).
% 11.33/11.52 intro zenon_D_pnotp.
% 11.33/11.52 apply zenon_H250.
% 11.33/11.52 rewrite <- zenon_D_pnotp.
% 11.33/11.52 exact zenon_H99.
% 11.33/11.52 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 11.33/11.52 cut (((op (e3) (e0)) = (op (e3) (op (e3) (op (e3) (e3)))))); [idtac | apply NNPP; zenon_intro zenon_H1ea].
% 11.33/11.52 congruence.
% 11.33/11.52 elim (classic ((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3)))))); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha9 ].
% 11.33/11.52 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3))))) = ((op (e3) (e0)) = (op (e3) (op (e3) (op (e3) (e3)))))).
% 11.33/11.52 intro zenon_D_pnotp.
% 11.33/11.52 apply zenon_H1ea.
% 11.33/11.52 rewrite <- zenon_D_pnotp.
% 11.33/11.52 exact zenon_Ha8.
% 11.33/11.52 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3)))))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 11.33/11.52 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1eb].
% 11.33/11.52 congruence.
% 11.33/11.52 cut (((op (e3) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1e7].
% 11.33/11.52 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.33/11.52 congruence.
% 11.33/11.52 apply zenon_H36. apply refl_equal.
% 11.33/11.52 cut (((op (e3) (e2)) = (e0)) = ((op (e3) (op (e3) (e3))) = (e0))).
% 11.33/11.52 intro zenon_D_pnotp.
% 11.33/11.52 apply zenon_H1e7.
% 11.33/11.52 rewrite <- zenon_D_pnotp.
% 11.33/11.52 exact zenon_Hf7.
% 11.33/11.52 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 11.33/11.52 cut (((op (e3) (e2)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H24d].
% 11.33/11.52 congruence.
% 11.33/11.52 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ].
% 11.33/11.52 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e2)) = (op (e3) (op (e3) (e3))))).
% 11.33/11.52 intro zenon_D_pnotp.
% 11.33/11.52 apply zenon_H24d.
% 11.33/11.52 rewrite <- zenon_D_pnotp.
% 11.33/11.52 exact zenon_Ha0.
% 11.33/11.52 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 11.33/11.52 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H24c].
% 11.33/11.52 congruence.
% 11.33/11.52 apply (zenon_L539_); trivial.
% 11.33/11.52 apply zenon_Ha1. apply refl_equal.
% 11.33/11.52 apply zenon_Ha1. apply refl_equal.
% 11.33/11.52 apply zenon_H1d. apply refl_equal.
% 11.33/11.52 apply zenon_Ha9. apply refl_equal.
% 11.33/11.52 apply zenon_Ha9. apply refl_equal.
% 11.33/11.52 apply zenon_H22. apply refl_equal.
% 11.33/11.52 apply zenon_Ha9. apply refl_equal.
% 11.33/11.52 apply zenon_Ha9. apply refl_equal.
% 11.33/11.52 apply zenon_Hea. apply sym_equal. exact zenon_Hb4.
% 11.33/11.52 (* end of lemma zenon_L541_ *)
% 11.33/11.52 assert (zenon_L542_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 11.33/11.52 do 0 intro. intros zenon_Hf0 zenon_H72 zenon_H13a zenon_H15d zenon_H99 zenon_Hf7 zenon_He5 zenon_H147.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.33/11.52 apply (zenon_L466_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.33/11.52 apply (zenon_L262_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.33/11.52 apply (zenon_L541_); trivial.
% 11.33/11.52 apply (zenon_L132_); trivial.
% 11.33/11.52 (* end of lemma zenon_L542_ *)
% 11.33/11.52 assert (zenon_L543_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H251 zenon_H252 zenon_H99 zenon_H15d zenon_H13a zenon_H72 zenon_Hf0 zenon_Hae zenon_H41 zenon_H223 zenon_Hf7 zenon_H1d8 zenon_H56 zenon_H1f3 zenon_H2c zenon_H222 zenon_He5.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.33/11.52 exact (zenon_H252 zenon_H15e).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.33/11.52 apply (zenon_L542_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.33/11.52 apply (zenon_L271_); trivial.
% 11.33/11.52 apply (zenon_L356_); trivial.
% 11.33/11.52 (* end of lemma zenon_L543_ *)
% 11.33/11.52 assert (zenon_L544_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((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)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.33/11.52 do 0 intro. intros zenon_Hfb zenon_H210 zenon_H57 zenon_H10e zenon_Hcf zenon_H11b zenon_Hb5 zenon_H56 zenon_H157 zenon_H11c zenon_H197 zenon_H27 zenon_H72 zenon_H41 zenon_H8b zenon_H30 zenon_H99.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.33/11.52 apply (zenon_L297_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.33/11.52 apply (zenon_L88_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.33/11.52 exact (zenon_Hcf zenon_Hce).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.33/11.52 apply (zenon_L108_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.33/11.52 apply (zenon_L239_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.33/11.52 exact (zenon_H11c zenon_H11f).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H3f | zenon_intro zenon_H198 ].
% 11.33/11.52 apply (zenon_L180_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H62 | zenon_intro zenon_H199 ].
% 11.33/11.52 apply (zenon_L465_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H18a | zenon_intro zenon_Hb4 ].
% 11.33/11.52 apply (zenon_L245_); trivial.
% 11.33/11.52 apply (zenon_L541_); trivial.
% 11.33/11.52 (* end of lemma zenon_L544_ *)
% 11.33/11.52 assert (zenon_L545_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 11.33/11.52 do 0 intro. intros zenon_Hfb zenon_H20 zenon_H2e zenon_H27 zenon_H5b zenon_Hcf zenon_Hf6 zenon_Hc3.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.33/11.52 apply (zenon_L61_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.33/11.52 apply (zenon_L347_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.33/11.52 exact (zenon_Hcf zenon_Hce).
% 11.33/11.52 apply (zenon_L77_); trivial.
% 11.33/11.52 (* end of lemma zenon_L545_ *)
% 11.33/11.52 assert (zenon_L546_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 11.33/11.52 do 0 intro. intros zenon_Hfb zenon_H20 zenon_H2e zenon_H57 zenon_H10e zenon_Hcf zenon_Hf0 zenon_H72 zenon_H13a zenon_H15d zenon_H99 zenon_He5 zenon_H147.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.33/11.52 apply (zenon_L61_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.33/11.52 apply (zenon_L88_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.33/11.52 exact (zenon_Hcf zenon_Hce).
% 11.33/11.52 apply (zenon_L542_); trivial.
% 11.33/11.52 (* end of lemma zenon_L546_ *)
% 11.33/11.52 assert (zenon_L547_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (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) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((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).
% 11.33/11.52 do 0 intro. intros zenon_H4c zenon_H10b zenon_H147 zenon_He5 zenon_H15d zenon_H13a zenon_Hf0 zenon_Hcf zenon_H10e zenon_H57 zenon_Hfb zenon_H30 zenon_Hb5 zenon_H56 zenon_H1ca zenon_H4d zenon_Hb7 zenon_H72 zenon_H20.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.52 exact (zenon_H4d zenon_H4f).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.52 apply (zenon_L223_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.33/11.52 exact (zenon_H4d zenon_H4f).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.33/11.52 apply (zenon_L459_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.33/11.52 apply (zenon_L108_); trivial.
% 11.33/11.52 apply (zenon_L546_); trivial.
% 11.33/11.52 apply (zenon_L182_); trivial.
% 11.33/11.52 (* end of lemma zenon_L547_ *)
% 11.33/11.52 assert (zenon_L548_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H15d zenon_Hc3 zenon_H9d.
% 11.33/11.52 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e3)))).
% 11.33/11.52 intro zenon_D_pnotp.
% 11.33/11.52 apply zenon_H15d.
% 11.33/11.52 rewrite <- zenon_D_pnotp.
% 11.33/11.52 exact zenon_Hc3.
% 11.33/11.52 cut (((e0) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 11.33/11.52 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 11.33/11.52 congruence.
% 11.33/11.52 apply zenon_Hf9. apply refl_equal.
% 11.33/11.52 apply zenon_Ha6. apply sym_equal. exact zenon_H9d.
% 11.33/11.52 (* end of lemma zenon_L548_ *)
% 11.33/11.52 assert (zenon_L549_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_Hf0 zenon_Hc3 zenon_H99 zenon_H15d zenon_H62 zenon_H141 zenon_H164 zenon_He3.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.33/11.52 apply (zenon_L548_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.33/11.52 apply (zenon_L262_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.33/11.52 apply (zenon_L336_); trivial.
% 11.33/11.52 apply (zenon_L144_); trivial.
% 11.33/11.52 (* end of lemma zenon_L549_ *)
% 11.33/11.52 assert (zenon_L550_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H236 zenon_H34 zenon_H72 zenon_H41 zenon_He3 zenon_H141 zenon_H62 zenon_H15d zenon_H99 zenon_Hc3 zenon_Hf0 zenon_He5 zenon_H147.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H40 | zenon_intro zenon_H237 ].
% 11.33/11.52 apply (zenon_L379_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H8b | zenon_intro zenon_H238 ].
% 11.33/11.52 apply (zenon_L465_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H164 | zenon_intro zenon_Hed ].
% 11.33/11.52 apply (zenon_L549_); trivial.
% 11.33/11.52 apply (zenon_L132_); trivial.
% 11.33/11.52 (* end of lemma zenon_L550_ *)
% 11.33/11.52 assert (zenon_L551_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H49 zenon_H1aa zenon_H147 zenon_He5 zenon_Hf0 zenon_Hc3 zenon_H99 zenon_H15d zenon_H141 zenon_He3 zenon_H41 zenon_H34 zenon_H236 zenon_Hfb zenon_H20 zenon_Hcf zenon_Hf6 zenon_H10b zenon_Hb5 zenon_H16c zenon_H69 zenon_H30 zenon_H2e zenon_H72 zenon_H27.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.52 apply (zenon_L208_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.33/11.52 apply (zenon_L343_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.33/11.52 apply (zenon_L353_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.33/11.52 apply (zenon_L545_); trivial.
% 11.33/11.52 apply (zenon_L550_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.52 apply (zenon_L6_); trivial.
% 11.33/11.52 apply (zenon_L180_); trivial.
% 11.33/11.52 (* end of lemma zenon_L551_ *)
% 11.33/11.52 assert (zenon_L552_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (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) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e1)) = (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))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (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))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((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 (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (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) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H18f zenon_H157 zenon_H19f zenon_H65 zenon_H5c zenon_Hc0 zenon_H19c zenon_Had zenon_H11b zenon_Hcb zenon_Hfa zenon_H11c zenon_H216 zenon_H210 zenon_H22e zenon_H12d zenon_H234 zenon_H10e zenon_H13a zenon_H4c zenon_H27 zenon_H30 zenon_H69 zenon_H16c zenon_Hb5 zenon_H10b zenon_Hf6 zenon_Hcf zenon_Hfb zenon_H236 zenon_H34 zenon_H41 zenon_He3 zenon_H141 zenon_H15d zenon_Hf0 zenon_He5 zenon_H147 zenon_H1aa zenon_H49 zenon_H56 zenon_H1ca zenon_H4d zenon_Hb7 zenon_H20.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.33/11.52 exact (zenon_H234 zenon_H25).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.33/11.52 apply (zenon_L531_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.33/11.52 apply (zenon_L537_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.33/11.52 exact (zenon_H234 zenon_H25).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.33/11.52 apply (zenon_L547_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.33/11.52 apply (zenon_L48_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.52 exact (zenon_H4d zenon_H4f).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.52 apply (zenon_L223_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.33/11.52 exact (zenon_H4d zenon_H4f).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.33/11.52 apply (zenon_L459_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.33/11.52 apply (zenon_L108_); trivial.
% 11.33/11.52 apply (zenon_L551_); trivial.
% 11.33/11.52 apply (zenon_L182_); trivial.
% 11.33/11.52 (* end of lemma zenon_L552_ *)
% 11.33/11.52 assert (zenon_L553_ : (((op (e2) (e2)) = (e2))/\(((~((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 (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H132 zenon_Hb5 zenon_Hc0.
% 11.33/11.52 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133.
% 11.33/11.52 apply (zenon_L50_); trivial.
% 11.33/11.52 (* end of lemma zenon_L553_ *)
% 11.33/11.52 assert (zenon_L554_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H161 zenon_H38 zenon_H34 zenon_H57 zenon_H41 zenon_Hb5 zenon_H252.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.52 exact (zenon_H38 zenon_H33).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.52 apply (zenon_L118_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.52 apply (zenon_L233_); trivial.
% 11.33/11.52 exact (zenon_H252 zenon_H15e).
% 11.33/11.52 (* end of lemma zenon_L554_ *)
% 11.33/11.52 assert (zenon_L555_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_Hfa zenon_Hb5 zenon_H27 zenon_H1e zenon_Hcb zenon_Hcf zenon_H255 zenon_H16e zenon_H90 zenon_H62 zenon_H61 zenon_Hed zenon_H13a.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.33/11.52 apply (zenon_L48_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.33/11.52 apply (zenon_L55_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.33/11.52 exact (zenon_Hcf zenon_Hce).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H72 | zenon_intro zenon_H256 ].
% 11.33/11.52 apply (zenon_L176_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H47 | zenon_intro zenon_H257 ].
% 11.33/11.52 apply (zenon_L127_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ].
% 11.33/11.52 apply (zenon_L22_); trivial.
% 11.33/11.52 apply (zenon_L113_); trivial.
% 11.33/11.52 (* end of lemma zenon_L555_ *)
% 11.33/11.52 assert (zenon_L556_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e1) (e2)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H69 zenon_H16c zenon_H75 zenon_He0 zenon_Hfa zenon_Hb5 zenon_H27 zenon_H1e zenon_Hcb zenon_Hcf zenon_H255 zenon_H16e zenon_H90 zenon_H61 zenon_Hed zenon_H13a.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.33/11.52 apply (zenon_L343_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.33/11.52 apply (zenon_L346_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.33/11.52 apply (zenon_L347_); trivial.
% 11.33/11.52 apply (zenon_L555_); trivial.
% 11.33/11.52 (* end of lemma zenon_L556_ *)
% 11.33/11.52 assert (zenon_L557_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((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).
% 11.33/11.52 do 0 intro. intros zenon_Hfa zenon_Hb5 zenon_H27 zenon_H1e zenon_Hcb zenon_Hcf zenon_H117 zenon_H7a.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.33/11.52 apply (zenon_L48_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.33/11.52 apply (zenon_L55_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.33/11.52 exact (zenon_Hcf zenon_Hce).
% 11.33/11.52 apply (zenon_L187_); trivial.
% 11.33/11.52 (* end of lemma zenon_L557_ *)
% 11.33/11.52 assert (zenon_L558_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (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)) = (e3)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((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 (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((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)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H113 zenon_H207 zenon_H13a zenon_Hed zenon_H61 zenon_H16e zenon_H255 zenon_H75 zenon_H16c zenon_H69 zenon_H20 zenon_H223 zenon_Hc3 zenon_H16a zenon_H1f3 zenon_H2c zenon_H222 zenon_He5 zenon_H8d zenon_H3c zenon_H79 zenon_H34 zenon_H141 zenon_H92 zenon_Hfa zenon_Hb5 zenon_H27 zenon_H1e zenon_Hcb zenon_Hcf zenon_H117.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.33/11.52 apply (zenon_L118_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.33/11.52 exact (zenon_H207 zenon_H10c).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.33/11.52 apply (zenon_L516_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.33/11.52 apply (zenon_L435_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.33/11.52 apply (zenon_L92_); trivial.
% 11.33/11.52 apply (zenon_L556_); trivial.
% 11.33/11.52 apply (zenon_L557_); trivial.
% 11.33/11.52 (* end of lemma zenon_L558_ *)
% 11.33/11.52 assert (zenon_L559_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((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) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((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))))) -> (~((e0) = (e1))) -> (((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)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H161 zenon_H38 zenon_H117 zenon_Hcf zenon_Hcb zenon_H1e zenon_H27 zenon_Hfa zenon_H92 zenon_H141 zenon_H34 zenon_H79 zenon_H3c zenon_H8d zenon_He5 zenon_H222 zenon_H2c zenon_H1f3 zenon_H16a zenon_Hc3 zenon_H223 zenon_H20 zenon_H69 zenon_H16c zenon_H255 zenon_H16e zenon_H61 zenon_Hed zenon_H13a zenon_H207 zenon_H113 zenon_H41 zenon_Hb5 zenon_H252.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.52 exact (zenon_H38 zenon_H33).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.52 apply (zenon_L558_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.52 apply (zenon_L233_); trivial.
% 11.33/11.52 exact (zenon_H252 zenon_H15e).
% 11.33/11.52 (* end of lemma zenon_L559_ *)
% 11.33/11.52 assert (zenon_L560_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 11.33/11.52 do 0 intro. intros zenon_Hf3 zenon_H41 zenon_H2f zenon_H75 zenon_H10e zenon_He2 zenon_Heb zenon_Hed.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.33/11.52 apply (zenon_L13_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.33/11.52 apply (zenon_L229_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.33/11.52 exact (zenon_He2 zenon_He1).
% 11.33/11.52 apply (zenon_L74_); trivial.
% 11.33/11.52 (* end of lemma zenon_L560_ *)
% 11.33/11.52 assert (zenon_L561_ : (((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 (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H161 zenon_H38 zenon_Hed zenon_Heb zenon_He2 zenon_H10e zenon_H2f zenon_Hf3 zenon_H41 zenon_Hb5 zenon_H252.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.52 exact (zenon_H38 zenon_H33).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.52 apply (zenon_L560_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.52 apply (zenon_L233_); trivial.
% 11.33/11.52 exact (zenon_H252 zenon_H15e).
% 11.33/11.52 (* end of lemma zenon_L561_ *)
% 11.33/11.52 assert (zenon_L562_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 11.33/11.52 do 0 intro. intros zenon_Hfb zenon_H34 zenon_H3b zenon_H6c zenon_H75 zenon_Hcf zenon_Hf6 zenon_Hc3.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.33/11.52 apply (zenon_L59_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.33/11.52 apply (zenon_L346_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.33/11.52 exact (zenon_Hcf zenon_Hce).
% 11.33/11.52 apply (zenon_L77_); trivial.
% 11.33/11.52 (* end of lemma zenon_L562_ *)
% 11.33/11.52 assert (zenon_L563_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 11.33/11.52 do 0 intro. intros zenon_Hfb zenon_H34 zenon_H3b zenon_H27 zenon_H5b zenon_Hcf zenon_Hf6 zenon_Hc3.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.33/11.52 apply (zenon_L59_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.33/11.52 apply (zenon_L347_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.33/11.52 exact (zenon_Hcf zenon_Hce).
% 11.33/11.52 apply (zenon_L77_); trivial.
% 11.33/11.52 (* end of lemma zenon_L563_ *)
% 11.33/11.52 assert (zenon_L564_ : (((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) (e0)) = (e3)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H69 zenon_H16c zenon_Hb5 zenon_H75 zenon_Hc3 zenon_Hf6 zenon_Hcf zenon_H27 zenon_H3b zenon_H34 zenon_Hfb zenon_H61 zenon_H3f.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.33/11.52 apply (zenon_L343_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.33/11.52 apply (zenon_L562_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.33/11.52 apply (zenon_L563_); trivial.
% 11.33/11.52 apply (zenon_L22_); trivial.
% 11.33/11.52 (* end of lemma zenon_L564_ *)
% 11.33/11.52 assert (zenon_L565_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H44 zenon_H1e zenon_Hc3 zenon_H34 zenon_Hb5 zenon_H69 zenon_H16c zenon_Hf6 zenon_Hcf zenon_H27 zenon_Hfb zenon_H61 zenon_H38 zenon_H161 zenon_H3f zenon_H41.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.52 exact (zenon_H38 zenon_H33).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.52 apply (zenon_L8_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.52 exact (zenon_H38 zenon_H33).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.52 apply (zenon_L564_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.52 apply (zenon_L233_); trivial.
% 11.33/11.52 apply (zenon_L201_); trivial.
% 11.33/11.52 apply (zenon_L11_); trivial.
% 11.33/11.52 (* end of lemma zenon_L565_ *)
% 11.33/11.52 assert (zenon_L566_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H161 zenon_H3c zenon_H4f zenon_H34 zenon_H57 zenon_H41 zenon_Hb5 zenon_H252.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.52 apply (zenon_L58_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.52 apply (zenon_L118_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.52 apply (zenon_L233_); trivial.
% 11.33/11.52 exact (zenon_H252 zenon_H15e).
% 11.33/11.52 (* end of lemma zenon_L566_ *)
% 11.33/11.52 assert (zenon_L567_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H44 zenon_H3c zenon_H4f zenon_He3 zenon_Hed zenon_He2 zenon_Hcb zenon_Hb5 zenon_H167 zenon_H41 zenon_H2f zenon_H72 zenon_H34.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.33/11.52 apply (zenon_L58_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.33/11.52 apply (zenon_L243_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.33/11.52 apply (zenon_L13_); trivial.
% 11.33/11.52 apply (zenon_L379_); trivial.
% 11.33/11.52 (* end of lemma zenon_L567_ *)
% 11.33/11.52 assert (zenon_L568_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (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).
% 11.33/11.52 do 0 intro. intros zenon_H49 zenon_H1aa zenon_H30 zenon_H1f zenon_H34 zenon_H41 zenon_H167 zenon_Hb5 zenon_Hcb zenon_He2 zenon_Hed zenon_He3 zenon_H4f zenon_H3c zenon_H44 zenon_H72 zenon_H27.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.52 apply (zenon_L208_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.52 apply (zenon_L211_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.52 apply (zenon_L567_); trivial.
% 11.33/11.52 apply (zenon_L180_); trivial.
% 11.33/11.52 (* end of lemma zenon_L568_ *)
% 11.33/11.52 assert (zenon_L569_ : (((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) (e3)) = (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)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (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) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e0) (e1)) = (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 (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H1df zenon_Hf7 zenon_Hf6 zenon_He3 zenon_Hed zenon_H154 zenon_H72 zenon_H61 zenon_H117 zenon_H141 zenon_H16e zenon_H194 zenon_Hb5 zenon_H95 zenon_H27 zenon_H197 zenon_Hf3 zenon_H41 zenon_H2f zenon_H3c zenon_He2 zenon_Heb zenon_H1f zenon_H10b zenon_H212 zenon_H92 zenon_Ha4 zenon_H16a zenon_H252.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ].
% 11.33/11.52 apply (zenon_L77_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ].
% 11.33/11.52 apply (zenon_L340_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ].
% 11.33/11.52 apply (zenon_L268_); trivial.
% 11.33/11.52 exact (zenon_H252 zenon_H15e).
% 11.33/11.52 (* end of lemma zenon_L569_ *)
% 11.33/11.52 assert (zenon_L570_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 11.33/11.52 do 0 intro. intros zenon_Hfb zenon_H27 zenon_H2f zenon_H34 zenon_H89 zenon_Hcf zenon_Hf6 zenon_Hc3.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.33/11.52 apply (zenon_L57_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.33/11.52 apply (zenon_L69_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.33/11.52 exact (zenon_Hcf zenon_Hce).
% 11.33/11.52 apply (zenon_L77_); trivial.
% 11.33/11.52 (* end of lemma zenon_L570_ *)
% 11.33/11.52 assert (zenon_L571_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e1) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H8d zenon_Hed zenon_Heb zenon_He2 zenon_H10e zenon_Hf3 zenon_H79 zenon_Hc3 zenon_Hf6 zenon_Hcf zenon_H34 zenon_H2f zenon_H27 zenon_Hfb zenon_H62 zenon_H41.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.33/11.52 apply (zenon_L560_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.33/11.52 exact (zenon_H79 zenon_H78).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.33/11.52 apply (zenon_L570_); trivial.
% 11.33/11.52 apply (zenon_L465_); trivial.
% 11.33/11.52 (* end of lemma zenon_L571_ *)
% 11.33/11.52 assert (zenon_L572_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H1df zenon_H41 zenon_H62 zenon_Hfb zenon_H27 zenon_H2f zenon_H34 zenon_Hcf zenon_H79 zenon_Hf3 zenon_H10e zenon_He2 zenon_Heb zenon_Hed zenon_H8d zenon_He6 zenon_H16a zenon_Hae zenon_Hf6 zenon_H252.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ].
% 11.33/11.52 apply (zenon_L571_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ].
% 11.33/11.52 apply (zenon_L146_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ].
% 11.33/11.52 apply (zenon_L256_); trivial.
% 11.33/11.52 exact (zenon_H252 zenon_H15e).
% 11.33/11.52 (* end of lemma zenon_L572_ *)
% 11.33/11.52 assert (zenon_L573_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H1df zenon_Hf7 zenon_H1d9 zenon_Hf6 zenon_Ha4 zenon_H16a zenon_H252.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ].
% 11.33/11.52 apply (zenon_L77_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ].
% 11.33/11.52 apply (zenon_L534_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ].
% 11.33/11.52 apply (zenon_L268_); trivial.
% 11.33/11.52 exact (zenon_H252 zenon_H15e).
% 11.33/11.52 (* end of lemma zenon_L573_ *)
% 11.33/11.52 assert (zenon_L574_ : (((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)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_Hb0 zenon_Hb5 zenon_H226 zenon_H16a zenon_H252 zenon_Hf6 zenon_H1d9 zenon_Hf7 zenon_H1df zenon_H154 zenon_H72 zenon_H61 zenon_H118 zenon_H117 zenon_Hed zenon_H141.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.33/11.52 apply (zenon_L361_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.33/11.52 apply (zenon_L573_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ].
% 11.33/11.52 apply (zenon_L77_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ].
% 11.33/11.52 apply (zenon_L534_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ].
% 11.33/11.52 apply (zenon_L256_); trivial.
% 11.33/11.52 exact (zenon_H252 zenon_H15e).
% 11.33/11.52 apply (zenon_L337_); trivial.
% 11.33/11.52 (* end of lemma zenon_L574_ *)
% 11.33/11.52 assert (zenon_L575_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((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)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H92 zenon_H34 zenon_H79 zenon_H3c zenon_H8d zenon_He5 zenon_H222 zenon_H2c zenon_H1f3 zenon_H16a zenon_Hc3 zenon_H223 zenon_He0 zenon_H20 zenon_H197 zenon_H27 zenon_H95 zenon_Hb5 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H72 zenon_H154 zenon_Hed zenon_He3.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.33/11.52 apply (zenon_L516_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.33/11.52 apply (zenon_L435_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.33/11.52 apply (zenon_L92_); trivial.
% 11.33/11.52 apply (zenon_L339_); trivial.
% 11.33/11.52 (* end of lemma zenon_L575_ *)
% 11.33/11.52 assert (zenon_L576_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (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 (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((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 (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((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 (e0) (e3)) = (e0)) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H113 zenon_H75 zenon_H207 zenon_He3 zenon_Hed zenon_H154 zenon_H117 zenon_H141 zenon_H16e zenon_H194 zenon_Hb5 zenon_H95 zenon_H27 zenon_H197 zenon_H20 zenon_H223 zenon_Hc3 zenon_H16a zenon_H1f3 zenon_H2c zenon_H222 zenon_He5 zenon_H8d zenon_H3c zenon_H79 zenon_H34 zenon_H92 zenon_H61 zenon_H72.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.33/11.52 apply (zenon_L118_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.33/11.52 exact (zenon_H207 zenon_H10c).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.33/11.52 apply (zenon_L575_); trivial.
% 11.33/11.52 apply (zenon_L335_); trivial.
% 11.33/11.52 (* end of lemma zenon_L576_ *)
% 11.33/11.52 assert (zenon_L577_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((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)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (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 (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (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) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e0) (e1)) = (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) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_Hb7 zenon_H44 zenon_Hcb zenon_H167 zenon_H113 zenon_Hfb zenon_Hcf zenon_Hf6 zenon_Hc3 zenon_H207 zenon_H34 zenon_H79 zenon_H8d zenon_H49 zenon_H1aa zenon_H30 zenon_He3 zenon_Hed zenon_H154 zenon_H61 zenon_H117 zenon_H141 zenon_H16e zenon_H194 zenon_Hb5 zenon_H95 zenon_H197 zenon_Hf3 zenon_H41 zenon_H3c zenon_He2 zenon_Heb zenon_H1f zenon_H10b zenon_H212 zenon_H92 zenon_H72 zenon_H27.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.33/11.52 apply (zenon_L568_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.52 apply (zenon_L208_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.52 apply (zenon_L211_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.33/11.52 apply (zenon_L118_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.33/11.52 exact (zenon_H79 zenon_H78).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.33/11.52 apply (zenon_L570_); trivial.
% 11.33/11.52 apply (zenon_L120_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.33/11.52 exact (zenon_H207 zenon_H10c).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.33/11.52 apply (zenon_L516_); trivial.
% 11.33/11.52 apply (zenon_L335_); trivial.
% 11.33/11.52 apply (zenon_L180_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.33/11.52 apply (zenon_L108_); trivial.
% 11.33/11.52 apply (zenon_L341_); trivial.
% 11.33/11.52 (* end of lemma zenon_L577_ *)
% 11.33/11.52 assert (zenon_L578_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H65 zenon_H2e zenon_H11f.
% 11.33/11.52 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e2) (e2)))).
% 11.33/11.52 intro zenon_D_pnotp.
% 11.33/11.52 apply zenon_H65.
% 11.33/11.52 rewrite <- zenon_D_pnotp.
% 11.33/11.52 exact zenon_H2e.
% 11.33/11.52 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 11.33/11.52 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H140].
% 11.33/11.52 congruence.
% 11.33/11.52 apply zenon_H140. apply refl_equal.
% 11.33/11.52 apply zenon_H19a. apply sym_equal. exact zenon_H11f.
% 11.33/11.52 (* end of lemma zenon_L578_ *)
% 11.33/11.52 assert (zenon_L579_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H19c zenon_Hcf zenon_H2e zenon_H65 zenon_Hc0 zenon_Hb5 zenon_He2.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ].
% 11.33/11.52 exact (zenon_Hcf zenon_Hce).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ].
% 11.33/11.52 apply (zenon_L578_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ].
% 11.33/11.52 apply (zenon_L50_); trivial.
% 11.33/11.52 exact (zenon_He2 zenon_He1).
% 11.33/11.52 (* end of lemma zenon_L579_ *)
% 11.33/11.52 assert (zenon_L580_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((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)) = (e3))) -> (~((e0) = (e2))) -> (((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)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H4c zenon_H161 zenon_He5 zenon_H222 zenon_H1f3 zenon_H16a zenon_H223 zenon_H252 zenon_H27 zenon_H92 zenon_H212 zenon_H10b zenon_Heb zenon_H3c zenon_H41 zenon_Hf3 zenon_H197 zenon_H95 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H154 zenon_Hed zenon_He3 zenon_H30 zenon_H1aa zenon_H49 zenon_H8d zenon_H79 zenon_H34 zenon_H207 zenon_Hc3 zenon_Hf6 zenon_Hfb zenon_H113 zenon_H167 zenon_Hcb zenon_H44 zenon_Hb7 zenon_He2 zenon_Hb5 zenon_Hc0 zenon_H65 zenon_Hcf zenon_H19c zenon_H72 zenon_H20.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.52 apply (zenon_L160_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.52 apply (zenon_L58_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.52 apply (zenon_L576_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.52 apply (zenon_L233_); trivial.
% 11.33/11.52 exact (zenon_H252 zenon_H15e).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.52 apply (zenon_L567_); trivial.
% 11.33/11.52 apply (zenon_L180_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.52 apply (zenon_L577_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.52 apply (zenon_L579_); trivial.
% 11.33/11.52 apply (zenon_L182_); trivial.
% 11.33/11.52 (* end of lemma zenon_L580_ *)
% 11.33/11.52 assert (zenon_L581_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((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)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (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 (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((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))))) -> (~((e0) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H1df zenon_H20 zenon_H72 zenon_H19c zenon_Hcf zenon_H65 zenon_Hc0 zenon_He2 zenon_Hb7 zenon_H44 zenon_Hcb zenon_H167 zenon_H113 zenon_Hfb zenon_Hf6 zenon_H207 zenon_H34 zenon_H79 zenon_H8d zenon_H49 zenon_H1aa zenon_H30 zenon_He3 zenon_Hed zenon_H154 zenon_H61 zenon_H117 zenon_H141 zenon_H16e zenon_H194 zenon_H95 zenon_H197 zenon_Hf3 zenon_H41 zenon_H3c zenon_Heb zenon_H10b zenon_H212 zenon_H92 zenon_H27 zenon_H223 zenon_H16a zenon_H1f3 zenon_H222 zenon_He5 zenon_H161 zenon_H4c zenon_He7 zenon_H15d zenon_Hb5 zenon_H226 zenon_H252.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ].
% 11.33/11.52 apply (zenon_L580_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ].
% 11.33/11.52 apply (zenon_L262_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ].
% 11.33/11.52 apply (zenon_L361_); trivial.
% 11.33/11.52 exact (zenon_H252 zenon_H15e).
% 11.33/11.52 (* end of lemma zenon_L581_ *)
% 11.33/11.52 assert (zenon_L582_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((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)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (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 (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((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))))) -> (~((e0) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H1f0 zenon_H6d zenon_H10e zenon_H2f zenon_H1f zenon_H118 zenon_Hf7 zenon_Hb0 zenon_H1df zenon_H20 zenon_H72 zenon_H19c zenon_Hcf zenon_H65 zenon_Hc0 zenon_He2 zenon_Hb7 zenon_H44 zenon_Hcb zenon_H167 zenon_H113 zenon_Hfb zenon_Hf6 zenon_H207 zenon_H34 zenon_H79 zenon_H8d zenon_H49 zenon_H1aa zenon_H30 zenon_He3 zenon_Hed zenon_H154 zenon_H61 zenon_H117 zenon_H141 zenon_H16e zenon_H194 zenon_H95 zenon_H197 zenon_Hf3 zenon_H41 zenon_H3c zenon_Heb zenon_H10b zenon_H212 zenon_H92 zenon_H27 zenon_H223 zenon_H16a zenon_H1f3 zenon_H222 zenon_He5 zenon_H161 zenon_H4c zenon_H15d zenon_Hb5 zenon_H226 zenon_H252.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ].
% 11.33/11.52 apply (zenon_L331_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.33/11.52 apply (zenon_L361_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.33/11.52 apply (zenon_L569_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H3f | zenon_intro zenon_H198 ].
% 11.33/11.52 apply (zenon_L180_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H62 | zenon_intro zenon_H199 ].
% 11.33/11.52 apply (zenon_L572_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H18a | zenon_intro zenon_Hb4 ].
% 11.33/11.52 apply (zenon_L245_); trivial.
% 11.33/11.52 apply (zenon_L338_); trivial.
% 11.33/11.52 apply (zenon_L337_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ].
% 11.33/11.52 apply (zenon_L574_); trivial.
% 11.33/11.52 apply (zenon_L581_); trivial.
% 11.33/11.52 (* end of lemma zenon_L582_ *)
% 11.33/11.52 assert (zenon_L583_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (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) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((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 (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((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)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H1b6 zenon_H12d zenon_H161 zenon_H252 zenon_Hb5 zenon_H41 zenon_H34 zenon_H3c zenon_H210 zenon_Hcf zenon_H1d5 zenon_H212 zenon_Hb0 zenon_Hfb zenon_H8d zenon_Hf6 zenon_H92 zenon_H10b zenon_H16a zenon_H1df zenon_H226 zenon_H15d zenon_H113 zenon_H223 zenon_He5 zenon_H222 zenon_H1f3 zenon_H20 zenon_H207 zenon_Hb7 zenon_H19c zenon_Hc0 zenon_H65 zenon_H4c zenon_H1f0 zenon_H194 zenon_H117 zenon_H16e zenon_H95 zenon_H61 zenon_H141 zenon_H154 zenon_H197 zenon_H71 zenon_H10e zenon_Heb zenon_Hf3 zenon_H1aa zenon_H30 zenon_H44 zenon_H72 zenon_Hcb zenon_He3 zenon_Hed zenon_H167 zenon_H27 zenon_H49 zenon_H234 zenon_H18e.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.33/11.52 exact (zenon_H234 zenon_H25).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.52 apply (zenon_L566_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.33/11.52 apply (zenon_L568_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.52 apply (zenon_L208_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.52 apply (zenon_L211_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.33/11.52 apply (zenon_L560_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.33/11.52 exact (zenon_H79 zenon_H78).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.33/11.52 apply (zenon_L297_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.33/11.52 apply (zenon_L69_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.33/11.52 exact (zenon_Hcf zenon_Hce).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H47 | zenon_intro zenon_H1d6 ].
% 11.33/11.52 apply (zenon_L199_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H90 | zenon_intro zenon_H1d7 ].
% 11.33/11.52 apply (zenon_L339_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H118 | zenon_intro zenon_He7 ].
% 11.33/11.52 apply (zenon_L582_); trivial.
% 11.33/11.52 apply (zenon_L581_); trivial.
% 11.33/11.52 apply (zenon_L120_); trivial.
% 11.33/11.52 apply (zenon_L180_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.33/11.52 apply (zenon_L108_); trivial.
% 11.33/11.52 apply (zenon_L341_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.52 apply (zenon_L579_); trivial.
% 11.33/11.52 apply (zenon_L182_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.33/11.52 apply (zenon_L48_); trivial.
% 11.33/11.52 apply (zenon_L580_); trivial.
% 11.33/11.52 apply (zenon_L334_); trivial.
% 11.33/11.52 apply (zenon_L339_); trivial.
% 11.33/11.52 (* end of lemma zenon_L583_ *)
% 11.33/11.52 assert (zenon_L584_ : (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((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)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (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)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((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 (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e1) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H234 zenon_H12d zenon_H1aa zenon_H207 zenon_H92 zenon_H16c zenon_Hfa zenon_H16e zenon_H61 zenon_H13a zenon_H255 zenon_Hcf zenon_Hcb zenon_H69 zenon_H20 zenon_H16a zenon_H1f3 zenon_H222 zenon_He5 zenon_H223 zenon_H3c zenon_H79 zenon_H141 zenon_Hed zenon_H8d zenon_H117 zenon_H113 zenon_H10e zenon_Heb zenon_Hf3 zenon_H44 zenon_Hf6 zenon_Hfb zenon_H49 zenon_H27 zenon_H38 zenon_H34 zenon_H41 zenon_Hb5 zenon_H252 zenon_H161 zenon_He3 zenon_H167 zenon_H1b6 zenon_H210 zenon_H1d5 zenon_H212 zenon_Hb0 zenon_H10b zenon_H1df zenon_H226 zenon_H15d zenon_Hb7 zenon_H19c zenon_Hc0 zenon_H65 zenon_H4c zenon_H1f0 zenon_H194 zenon_H95 zenon_H154 zenon_H197 zenon_H71 zenon_H30 zenon_H18e zenon_H18f.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.33/11.52 exact (zenon_H234 zenon_H25).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.33/11.52 exact (zenon_H234 zenon_H25).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.33/11.52 apply (zenon_L554_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.33/11.52 apply (zenon_L48_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.52 apply (zenon_L208_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.52 apply (zenon_L559_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.52 apply (zenon_L561_); trivial.
% 11.33/11.52 apply (zenon_L565_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.33/11.52 apply (zenon_L244_); trivial.
% 11.33/11.52 apply (zenon_L583_); trivial.
% 11.33/11.52 apply (zenon_L334_); trivial.
% 11.33/11.52 (* end of lemma zenon_L584_ *)
% 11.33/11.52 assert (zenon_L585_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 11.33/11.52 do 0 intro. intros zenon_Hfb zenon_Heb zenon_H15f zenon_He2 zenon_H10e zenon_H75 zenon_H34 zenon_Hf3 zenon_H27 zenon_H5b zenon_Hcf zenon_Hf6 zenon_Hc3.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.33/11.52 apply (zenon_L231_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.33/11.52 apply (zenon_L347_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.33/11.52 exact (zenon_Hcf zenon_Hce).
% 11.33/11.52 apply (zenon_L77_); trivial.
% 11.33/11.52 (* end of lemma zenon_L585_ *)
% 11.33/11.52 assert (zenon_L586_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H69 zenon_H16c zenon_H2c zenon_H10b zenon_Hc3 zenon_Hf6 zenon_Hf3 zenon_H34 zenon_H75 zenon_H10e zenon_He2 zenon_H15f zenon_Heb zenon_Hfb zenon_Hfa zenon_Hb5 zenon_H27 zenon_H1e zenon_Hcb zenon_Hcf zenon_H255 zenon_H16e zenon_H90 zenon_H61 zenon_Hed zenon_H13a.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.33/11.52 apply (zenon_L343_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.33/11.52 apply (zenon_L353_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.33/11.52 apply (zenon_L585_); trivial.
% 11.33/11.52 apply (zenon_L555_); trivial.
% 11.33/11.52 (* end of lemma zenon_L586_ *)
% 11.33/11.52 assert (zenon_L587_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H161 zenon_H38 zenon_Heb zenon_H15f zenon_He2 zenon_H10e zenon_Hd0 zenon_H34 zenon_Hf3 zenon_H41 zenon_Hb5 zenon_H252.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.52 exact (zenon_H38 zenon_H33).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.52 apply (zenon_L231_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.52 apply (zenon_L233_); trivial.
% 11.33/11.52 exact (zenon_H252 zenon_H15e).
% 11.33/11.52 (* end of lemma zenon_L587_ *)
% 11.33/11.52 assert (zenon_L588_ : ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_Hc3 zenon_Hf6 zenon_Hcf zenon_H69 zenon_H16c zenon_H27 zenon_H61 zenon_H3f zenon_H161 zenon_H38 zenon_Heb zenon_H15f zenon_He2 zenon_H10e zenon_H34 zenon_Hf3 zenon_Hfb zenon_H41 zenon_Hb5 zenon_H252.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.52 exact (zenon_H38 zenon_H33).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.33/11.52 apply (zenon_L587_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.33/11.52 apply (zenon_L348_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.33/11.52 exact (zenon_Hcf zenon_Hce).
% 11.33/11.52 apply (zenon_L77_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.52 apply (zenon_L233_); trivial.
% 11.33/11.52 exact (zenon_H252 zenon_H15e).
% 11.33/11.52 (* end of lemma zenon_L588_ *)
% 11.33/11.52 assert (zenon_L589_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H12d zenon_H234 zenon_H19c zenon_H65 zenon_Hc0 zenon_H20 zenon_H3c zenon_H4c zenon_H49 zenon_H1aa zenon_H10b zenon_Hfa zenon_H1e zenon_Hcb zenon_H255 zenon_H16e zenon_H90 zenon_H13a zenon_Hed zenon_Hf6 zenon_Hcf zenon_H69 zenon_H16c zenon_H27 zenon_H61 zenon_H161 zenon_H38 zenon_Heb zenon_H15f zenon_He2 zenon_H10e zenon_H34 zenon_Hf3 zenon_Hfb zenon_H41 zenon_Hb5 zenon_H252.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.33/11.52 exact (zenon_H234 zenon_H25).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.52 apply (zenon_L566_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.52 apply (zenon_L2_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.52 apply (zenon_L579_); trivial.
% 11.33/11.52 apply (zenon_L127_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.33/11.52 apply (zenon_L48_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.52 apply (zenon_L208_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.33/11.52 exact (zenon_H38 zenon_H33).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.33/11.52 apply (zenon_L586_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.33/11.52 apply (zenon_L233_); trivial.
% 11.33/11.52 exact (zenon_H252 zenon_H15e).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.52 apply (zenon_L561_); trivial.
% 11.33/11.52 apply (zenon_L588_); trivial.
% 11.33/11.52 (* end of lemma zenon_L589_ *)
% 11.33/11.52 assert (zenon_L590_ : ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((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)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (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)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((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 (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 11.33/11.52 do 0 intro. intros zenon_H1b0 zenon_H101 zenon_H251 zenon_H1d8 zenon_Hf0 zenon_H236 zenon_H216 zenon_H22e zenon_H1ca zenon_H19f zenon_Had zenon_H5c zenon_H157 zenon_H11b zenon_Hc4 zenon_H234 zenon_H12d zenon_H1aa zenon_H207 zenon_H92 zenon_H16c zenon_Hfa zenon_H16e zenon_H61 zenon_H13a zenon_H255 zenon_Hcf zenon_Hcb zenon_H69 zenon_H20 zenon_H16a zenon_H1f3 zenon_H222 zenon_He5 zenon_H223 zenon_H3c zenon_H141 zenon_H8d zenon_H117 zenon_H113 zenon_H10e zenon_Heb zenon_Hf3 zenon_H44 zenon_Hf6 zenon_Hfb zenon_H49 zenon_H27 zenon_H34 zenon_H41 zenon_Hb5 zenon_H252 zenon_H161 zenon_He3 zenon_H167 zenon_H210 zenon_H1d5 zenon_H212 zenon_Hb0 zenon_H10b zenon_H1df zenon_H226 zenon_H15d zenon_Hb7 zenon_H19c zenon_Hc0 zenon_H65 zenon_H4c zenon_H1f0 zenon_H194 zenon_H95 zenon_H154 zenon_H197 zenon_H71 zenon_H30 zenon_H18f.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.33/11.52 apply (zenon_L458_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.33/11.52 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 11.33/11.52 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf.
% 11.33/11.52 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc.
% 11.33/11.52 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H4d | zenon_intro zenon_H1e ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.33/11.52 exact (zenon_H234 zenon_H25).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.33/11.52 apply (zenon_L533_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.33/11.52 apply (zenon_L537_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.33/11.52 exact (zenon_H234 zenon_H25).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.52 exact (zenon_H4d zenon_H4f).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.52 apply (zenon_L223_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.33/11.52 exact (zenon_H4d zenon_H4f).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.33/11.52 apply (zenon_L459_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.33/11.52 apply (zenon_L108_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.52 apply (zenon_L208_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.33/11.52 apply (zenon_L118_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.33/11.52 apply (zenon_L510_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.33/11.52 apply (zenon_L297_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.33/11.52 apply (zenon_L69_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.33/11.52 exact (zenon_Hcf zenon_Hce).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.33/11.52 apply (zenon_L538_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.33/11.52 apply (zenon_L355_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.33/11.52 apply (zenon_L543_); trivial.
% 11.33/11.52 apply (zenon_L541_); trivial.
% 11.33/11.52 apply (zenon_L544_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.52 apply (zenon_L6_); trivial.
% 11.33/11.52 apply (zenon_L180_); trivial.
% 11.33/11.52 apply (zenon_L536_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.33/11.52 apply (zenon_L48_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.33/11.52 exact (zenon_H4d zenon_H4f).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.33/11.52 apply (zenon_L223_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.52 apply (zenon_L208_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H2f | zenon_intro zenon_H1a0 ].
% 11.33/11.52 apply (zenon_L6_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a1 ].
% 11.33/11.52 apply (zenon_L545_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H5a | zenon_intro zenon_Hae ].
% 11.33/11.52 apply (zenon_L50_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.33/11.52 exact (zenon_H252 zenon_H15e).
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.33/11.52 apply (zenon_L552_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.33/11.52 apply (zenon_L271_); trivial.
% 11.33/11.52 apply (zenon_L435_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.52 apply (zenon_L6_); trivial.
% 11.33/11.52 apply (zenon_L180_); trivial.
% 11.33/11.52 apply (zenon_L182_); trivial.
% 11.33/11.52 apply (zenon_L552_); trivial.
% 11.33/11.52 apply (zenon_L532_); trivial.
% 11.33/11.52 apply (zenon_L533_); trivial.
% 11.33/11.52 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.33/11.52 apply (zenon_L553_); trivial.
% 11.33/11.52 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160.
% 11.33/11.52 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3.
% 11.33/11.53 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5.
% 11.33/11.53 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7.
% 11.33/11.53 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ].
% 11.33/11.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.33/11.53 apply (zenon_L584_); trivial.
% 11.33/11.53 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.33/11.53 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.33/11.53 exact (zenon_H234 zenon_H25).
% 11.33/11.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.33/11.53 apply (zenon_L589_); trivial.
% 11.33/11.53 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.33/11.53 apply (zenon_L244_); trivial.
% 11.33/11.53 apply (zenon_L339_); trivial.
% 11.33/11.53 apply (zenon_L334_); trivial.
% 11.33/11.53 apply (zenon_L583_); trivial.
% 11.33/11.53 (* end of lemma zenon_L590_ *)
% 11.33/11.53 assert (zenon_L591_ : ((op (e0) (e3)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((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 (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((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)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((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)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (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)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((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 (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 11.33/11.53 do 0 intro. intros zenon_H72 zenon_H203 zenon_H207 zenon_H6e zenon_Hc4 zenon_Hf3 zenon_H3c zenon_H2e zenon_H27 zenon_H236 zenon_H34 zenon_H41 zenon_He3 zenon_H141 zenon_H13a zenon_Hf0 zenon_Heb zenon_H20 zenon_H113 zenon_H1b0 zenon_H101 zenon_H251 zenon_H1d8 zenon_H216 zenon_H22e zenon_H1ca zenon_H19f zenon_Had zenon_H157 zenon_H11b zenon_H234 zenon_H12d zenon_H1aa zenon_H92 zenon_H16c zenon_Hfa zenon_H16e zenon_H255 zenon_Hcf zenon_Hcb zenon_H16a zenon_H1f3 zenon_H222 zenon_He5 zenon_H223 zenon_H8d zenon_H117 zenon_H10e zenon_H44 zenon_Hf6 zenon_Hfb zenon_H49 zenon_H252 zenon_H161 zenon_H167 zenon_H210 zenon_H1d5 zenon_H212 zenon_Hb0 zenon_H10b zenon_H1df zenon_H226 zenon_H15d zenon_Hb7 zenon_H19c zenon_Hc0 zenon_H4c zenon_H1f0 zenon_H194 zenon_H95 zenon_H154 zenon_H197 zenon_H71 zenon_H18f zenon_H2b zenon_Hb8 zenon_H65 zenon_H69 zenon_H30 zenon_H6d zenon_H68 zenon_H5c zenon_H5a zenon_H61.
% 11.33/11.53 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.33/11.53 exact (zenon_H2b zenon_H26).
% 11.33/11.53 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.33/11.53 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.33/11.53 exact (zenon_H2b zenon_H26).
% 11.33/11.53 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.33/11.53 apply (zenon_L26_); trivial.
% 11.33/11.53 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.33/11.53 apply (zenon_L590_); trivial.
% 11.33/11.53 apply (zenon_L469_); trivial.
% 11.33/11.53 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.33/11.53 apply (zenon_L23_); trivial.
% 11.33/11.53 apply (zenon_L27_); trivial.
% 11.33/11.53 (* end of lemma zenon_L591_ *)
% 11.33/11.53 assert (zenon_L592_ : (((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)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((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) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e1)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e0)) = (e3))) -> False).
% 11.38/11.53 do 0 intro. intros zenon_H161 zenon_H38 zenon_H3c zenon_H6d zenon_Hc3 zenon_H16a zenon_H19f zenon_H27 zenon_H5c zenon_H18a zenon_H192 zenon_H19c zenon_Hd0 zenon_H65 zenon_Had zenon_Hc0 zenon_H207 zenon_H39 zenon_H34 zenon_H203 zenon_H252.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.38/11.53 exact (zenon_H38 zenon_H33).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.38/11.53 apply (zenon_L123_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.38/11.53 apply (zenon_L518_); trivial.
% 11.38/11.53 exact (zenon_H252 zenon_H15e).
% 11.38/11.53 (* end of lemma zenon_L592_ *)
% 11.38/11.53 assert (zenon_L593_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((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) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (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) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> False).
% 11.38/11.53 do 0 intro. intros zenon_H18f zenon_H8d zenon_H79 zenon_H13f zenon_H13a zenon_H34 zenon_H161 zenon_H38 zenon_H3c zenon_H16a zenon_H19f zenon_H27 zenon_H5c zenon_H192 zenon_H19c zenon_H65 zenon_Had zenon_Hc0 zenon_H207 zenon_H203 zenon_H252 zenon_H44 zenon_H234 zenon_H12d zenon_H4c zenon_H187 zenon_H71 zenon_H141 zenon_Hed zenon_H18a zenon_H117 zenon_H61 zenon_H154 zenon_H101 zenon_H1d5 zenon_H210 zenon_H23c zenon_H6d zenon_H30 zenon_He5 zenon_H212 zenon_H1f0 zenon_H20.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.38/11.53 exact (zenon_H234 zenon_H25).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.38/11.53 apply (zenon_L126_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.38/11.53 exact (zenon_H234 zenon_H25).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.38/11.53 apply (zenon_L423_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.38/11.53 exact (zenon_H38 zenon_H33).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.38/11.53 apply (zenon_L123_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.38/11.53 apply (zenon_L161_); trivial.
% 11.38/11.53 exact (zenon_H252 zenon_H15e).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.38/11.53 exact (zenon_H38 zenon_H33).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.38/11.53 apply (zenon_L592_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.38/11.53 apply (zenon_L59_); trivial.
% 11.38/11.53 apply (zenon_L113_); trivial.
% 11.38/11.53 apply (zenon_L524_); trivial.
% 11.38/11.53 (* end of lemma zenon_L593_ *)
% 11.38/11.53 assert (zenon_L594_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.38/11.53 do 0 intro. intros zenon_Hb8 zenon_H2b zenon_H30 zenon_H6d zenon_H258 zenon_Hc3 zenon_H27.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.38/11.53 exact (zenon_H2b zenon_H26).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.38/11.53 apply (zenon_L26_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.38/11.53 exact (zenon_H258 zenon_Hb5).
% 11.38/11.53 apply (zenon_L51_); trivial.
% 11.38/11.53 (* end of lemma zenon_L594_ *)
% 11.38/11.53 assert (zenon_L595_ : (((op (e2) (e2)) = (e2))/\(((~((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) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (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 (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e0))) -> False).
% 11.38/11.53 do 0 intro. intros zenon_H132 zenon_H18f zenon_H4c zenon_Hb8 zenon_H203 zenon_H3c zenon_H34 zenon_H41 zenon_Hf0 zenon_He3 zenon_H141 zenon_H13a zenon_Heb zenon_H236 zenon_Hf3 zenon_Hc4 zenon_H258 zenon_H187 zenon_H12d zenon_H113 zenon_H15a zenon_H1ca zenon_H13f zenon_H207 zenon_H20 zenon_H10e zenon_H27 zenon_H65 zenon_H69 zenon_H61 zenon_H5c zenon_H6d zenon_H30 zenon_H49 zenon_H234.
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133.
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134.
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.38/11.53 exact (zenon_H234 zenon_H25).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.38/11.53 apply (zenon_L28_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.38/11.53 apply (zenon_L463_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.38/11.53 exact (zenon_H234 zenon_H25).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.38/11.53 apply (zenon_L423_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.38/11.53 apply (zenon_L179_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.38/11.53 apply (zenon_L454_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.38/11.53 exact (zenon_H2b zenon_H26).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.38/11.53 exact (zenon_H2b zenon_H26).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.38/11.53 apply (zenon_L26_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.38/11.53 exact (zenon_H258 zenon_Hb5).
% 11.38/11.53 apply (zenon_L469_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.38/11.53 apply (zenon_L6_); trivial.
% 11.38/11.53 apply (zenon_L180_); trivial.
% 11.38/11.53 apply (zenon_L182_); trivial.
% 11.38/11.53 apply (zenon_L594_); trivial.
% 11.38/11.53 apply (zenon_L106_); trivial.
% 11.38/11.53 apply (zenon_L463_); trivial.
% 11.38/11.53 (* end of lemma zenon_L595_ *)
% 11.38/11.53 assert (zenon_L596_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False).
% 11.38/11.53 do 0 intro. intros zenon_H11b zenon_H3c zenon_H56 zenon_H157 zenon_H152 zenon_Hcc zenon_H16e zenon_H47.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.38/11.53 apply (zenon_L136_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.38/11.53 apply (zenon_L239_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.38/11.53 apply (zenon_L242_); trivial.
% 11.38/11.53 apply (zenon_L150_); trivial.
% 11.38/11.53 (* end of lemma zenon_L596_ *)
% 11.38/11.53 assert (zenon_L597_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.38/11.53 do 0 intro. intros zenon_H15a zenon_H207 zenon_Hc5 zenon_H157 zenon_H2c zenon_H10b zenon_H79.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ].
% 11.38/11.53 exact (zenon_H207 zenon_H10c).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ].
% 11.38/11.53 apply (zenon_L239_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ].
% 11.38/11.53 apply (zenon_L353_); trivial.
% 11.38/11.53 exact (zenon_H79 zenon_H78).
% 11.38/11.53 (* end of lemma zenon_L597_ *)
% 11.38/11.53 assert (zenon_L598_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> False).
% 11.38/11.53 do 0 intro. intros zenon_H259 zenon_Hcc zenon_H79 zenon_H10b zenon_H157 zenon_Hc5 zenon_H207 zenon_H15a zenon_Hcb zenon_H145.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H1e | zenon_intro zenon_H25a ].
% 11.38/11.53 apply (zenon_L55_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H1f | zenon_intro zenon_H25b ].
% 11.38/11.53 apply (zenon_L330_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H2c | zenon_intro zenon_H39 ].
% 11.38/11.53 apply (zenon_L597_); trivial.
% 11.38/11.53 apply (zenon_L162_); trivial.
% 11.38/11.53 (* end of lemma zenon_L598_ *)
% 11.38/11.53 assert (zenon_L599_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e1)) = (op (e3) (e3)))) -> False).
% 11.38/11.53 do 0 intro. intros zenon_H148 zenon_H26 zenon_H2e zenon_Hcb zenon_H15a zenon_H207 zenon_Hc5 zenon_H157 zenon_H10b zenon_H79 zenon_Hcc zenon_H259 zenon_H15f zenon_He5.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.38/11.53 apply (zenon_L156_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.38/11.53 exact (zenon_H79 zenon_H78).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.38/11.53 apply (zenon_L598_); trivial.
% 11.38/11.53 apply (zenon_L370_); trivial.
% 11.38/11.53 (* end of lemma zenon_L599_ *)
% 11.38/11.53 assert (zenon_L600_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e0)) -> ((op (e2) (e0)) = (e3)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((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) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.38/11.53 do 0 intro. intros zenon_H8d zenon_H6d zenon_H47 zenon_H16e zenon_Hcc zenon_H152 zenon_H22e zenon_He5 zenon_H15f zenon_H259 zenon_H79 zenon_H10b zenon_H157 zenon_H207 zenon_H15a zenon_Hcb zenon_H26 zenon_H148 zenon_H3c zenon_H1d8 zenon_He6 zenon_H11b zenon_H7a zenon_H34.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.38/11.53 apply (zenon_L123_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.38/11.53 exact (zenon_H79 zenon_H78).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.38/11.53 apply (zenon_L136_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.38/11.53 apply (zenon_L599_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.38/11.53 apply (zenon_L35_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.38/11.53 apply (zenon_L242_); trivial.
% 11.38/11.53 apply (zenon_L255_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.38/11.53 apply (zenon_L242_); trivial.
% 11.38/11.53 apply (zenon_L150_); trivial.
% 11.38/11.53 apply (zenon_L36_); trivial.
% 11.38/11.53 (* end of lemma zenon_L600_ *)
% 11.38/11.53 assert (zenon_L601_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((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) (e2)) = (op (e2) (e3)))) -> (((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)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 11.38/11.53 do 0 intro. intros zenon_H113 zenon_H20 zenon_H203 zenon_H13f zenon_H141 zenon_H38 zenon_H44 zenon_H34 zenon_H11b zenon_H1d8 zenon_H3c zenon_H148 zenon_H26 zenon_Hcb zenon_H15a zenon_H207 zenon_H157 zenon_H10b zenon_H79 zenon_H259 zenon_H15f zenon_He5 zenon_H22e zenon_H152 zenon_H16e zenon_H47 zenon_H6d zenon_H8d zenon_H1a2 zenon_H258 zenon_He3 zenon_Hed zenon_H117 zenon_H194 zenon_H30 zenon_H197 zenon_H19f zenon_H27 zenon_H5c zenon_H192 zenon_H19c zenon_Hd0 zenon_H65 zenon_Had zenon_Hc0 zenon_H71 zenon_H105 zenon_H16a zenon_Hc3.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.38/11.53 apply (zenon_L423_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.38/11.53 exact (zenon_H207 zenon_H10c).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.38/11.53 apply (zenon_L293_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.38/11.53 apply (zenon_L125_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.38/11.53 exact (zenon_H207 zenon_H10c).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.38/11.53 apply (zenon_L199_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.38/11.53 apply (zenon_L596_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ].
% 11.38/11.53 exact (zenon_H258 zenon_Hb5).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ].
% 11.38/11.53 apply (zenon_L95_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ].
% 11.38/11.53 apply (zenon_L190_); trivial.
% 11.38/11.53 apply (zenon_L428_); trivial.
% 11.38/11.53 apply (zenon_L600_); trivial.
% 11.38/11.53 apply (zenon_L258_); trivial.
% 11.38/11.53 (* end of lemma zenon_L601_ *)
% 11.38/11.53 assert (zenon_L602_ : ((~((op (e1) (e1)) = (e0)))\/(~((op (e1) (e0)) = (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/(~((op (e3) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (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 (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((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))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (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) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((~((op (e2) (e2)) = (e0)))\/(~((op (e2) (e0)) = (e2)))) -> False).
% 11.38/11.53 do 0 intro. intros zenon_H25c zenon_H25d zenon_H92 zenon_H255 zenon_H1df zenon_H16c zenon_H1aa zenon_H1d8 zenon_H251 zenon_Hfb zenon_H234 zenon_H6d zenon_H1ca zenon_H49 zenon_H30 zenon_H5c zenon_H61 zenon_H69 zenon_H65 zenon_H27 zenon_H10e zenon_H20 zenon_H13f zenon_H15a zenon_H113 zenon_H12d zenon_Hc0 zenon_H187 zenon_Hc4 zenon_Hf3 zenon_H236 zenon_Heb zenon_H13a zenon_H141 zenon_He3 zenon_Hf0 zenon_H41 zenon_H34 zenon_H3c zenon_H203 zenon_Hb8 zenon_H4c zenon_H18f zenon_Hcb zenon_H167 zenon_H161 zenon_Hfa zenon_H23c zenon_H154 zenon_H226 zenon_Hb9 zenon_H1e2 zenon_Hb7 zenon_H101 zenon_H1f0 zenon_H10b zenon_H11b zenon_H222 zenon_H1f3 zenon_H15d zenon_He5 zenon_H223 zenon_H228 zenon_H22e zenon_H125 zenon_H245 zenon_H122 zenon_H105 zenon_H95 zenon_H212 zenon_H242 zenon_H216 zenon_Hf6 zenon_Hb0 zenon_H1b0 zenon_H16a zenon_H1a2 zenon_H19c zenon_Had zenon_H19f zenon_H192 zenon_H194 zenon_H16e zenon_H117 zenon_H197 zenon_H157 zenon_H8d zenon_H44 zenon_H1d5 zenon_H71 zenon_H210 zenon_H259 zenon_H148 zenon_H25e.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25f ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_Hcf | zenon_intro zenon_H258 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H9e | zenon_intro zenon_H252 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.38/11.53 apply (zenon_L458_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.38/11.53 apply (zenon_L460_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133.
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134.
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.38/11.53 exact (zenon_H234 zenon_H25).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.38/11.53 apply (zenon_L28_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.38/11.53 apply (zenon_L463_); trivial.
% 11.38/11.53 apply (zenon_L470_); trivial.
% 11.38/11.53 apply (zenon_L106_); trivial.
% 11.38/11.53 apply (zenon_L463_); trivial.
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160.
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3.
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5.
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.38/11.53 exact (zenon_H234 zenon_H25).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.38/11.53 apply (zenon_L126_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.38/11.53 exact (zenon_H234 zenon_H25).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.38/11.53 apply (zenon_L423_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.38/11.53 apply (zenon_L237_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.38/11.53 apply (zenon_L179_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.38/11.53 apply (zenon_L471_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.38/11.53 apply (zenon_L61_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.38/11.53 exact (zenon_H38 zenon_H33).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.38/11.53 exact (zenon_H38 zenon_H33).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.38/11.53 apply (zenon_L123_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.38/11.53 apply (zenon_L423_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.38/11.53 exact (zenon_H207 zenon_H10c).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.38/11.53 apply (zenon_L293_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.38/11.53 apply (zenon_L8_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.38/11.53 exact (zenon_H207 zenon_H10c).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.38/11.53 apply (zenon_L26_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ].
% 11.38/11.53 apply (zenon_L233_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ].
% 11.38/11.53 apply (zenon_L139_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ].
% 11.38/11.53 apply (zenon_L190_); trivial.
% 11.38/11.53 apply (zenon_L428_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.38/11.53 apply (zenon_L427_); trivial.
% 11.38/11.53 apply (zenon_L103_); trivial.
% 11.38/11.53 apply (zenon_L258_); trivial.
% 11.38/11.53 apply (zenon_L515_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.38/11.53 apply (zenon_L124_); trivial.
% 11.38/11.53 apply (zenon_L14_); trivial.
% 11.38/11.53 apply (zenon_L517_); trivial.
% 11.38/11.53 apply (zenon_L525_); trivial.
% 11.38/11.53 apply (zenon_L519_); trivial.
% 11.38/11.53 apply (zenon_L526_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.38/11.53 apply (zenon_L458_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.38/11.53 apply (zenon_L460_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133.
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134.
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.38/11.53 exact (zenon_H234 zenon_H25).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.38/11.53 apply (zenon_L28_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.38/11.53 apply (zenon_L463_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.38/11.53 exact (zenon_H234 zenon_H25).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.38/11.53 apply (zenon_L423_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.38/11.53 apply (zenon_L179_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.38/11.53 apply (zenon_L454_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.38/11.53 apply (zenon_L591_); trivial.
% 11.38/11.53 apply (zenon_L182_); trivial.
% 11.38/11.53 apply (zenon_L52_); trivial.
% 11.38/11.53 apply (zenon_L106_); trivial.
% 11.38/11.53 apply (zenon_L463_); trivial.
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160.
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3.
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5.
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.38/11.53 exact (zenon_H234 zenon_H25).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.38/11.53 apply (zenon_L126_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.38/11.53 exact (zenon_H234 zenon_H25).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.38/11.53 apply (zenon_L423_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.38/11.53 apply (zenon_L237_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.38/11.53 apply (zenon_L179_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.38/11.53 apply (zenon_L471_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.38/11.53 apply (zenon_L61_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.38/11.53 exact (zenon_H38 zenon_H33).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.38/11.53 exact (zenon_H38 zenon_H33).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.38/11.53 apply (zenon_L231_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.38/11.53 apply (zenon_L423_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.38/11.53 exact (zenon_H207 zenon_H10c).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.38/11.53 apply (zenon_L516_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.38/11.53 apply (zenon_L8_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.38/11.53 exact (zenon_H207 zenon_H10c).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.38/11.53 apply (zenon_L26_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ].
% 11.38/11.53 apply (zenon_L584_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ].
% 11.38/11.53 apply (zenon_L139_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ].
% 11.38/11.53 apply (zenon_L190_); trivial.
% 11.38/11.53 apply (zenon_L428_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.38/11.53 apply (zenon_L427_); trivial.
% 11.38/11.53 apply (zenon_L103_); trivial.
% 11.38/11.53 apply (zenon_L258_); trivial.
% 11.38/11.53 exact (zenon_H252 zenon_H15e).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.38/11.53 apply (zenon_L59_); trivial.
% 11.38/11.53 apply (zenon_L113_); trivial.
% 11.38/11.53 apply (zenon_L517_); trivial.
% 11.38/11.53 apply (zenon_L593_); trivial.
% 11.38/11.53 apply (zenon_L519_); trivial.
% 11.38/11.53 apply (zenon_L526_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H9e | zenon_intro zenon_H252 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.38/11.53 apply (zenon_L458_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.38/11.53 apply (zenon_L460_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.38/11.53 apply (zenon_L595_); trivial.
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160.
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3.
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5.
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.38/11.53 exact (zenon_H234 zenon_H25).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.38/11.53 apply (zenon_L126_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.38/11.53 exact (zenon_H234 zenon_H25).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.38/11.53 apply (zenon_L423_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.38/11.53 apply (zenon_L237_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.38/11.53 apply (zenon_L179_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.38/11.53 apply (zenon_L471_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.38/11.53 apply (zenon_L61_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.38/11.53 exact (zenon_H38 zenon_H33).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.38/11.53 apply (zenon_L123_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.38/11.53 apply (zenon_L601_); trivial.
% 11.38/11.53 apply (zenon_L201_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.38/11.53 apply (zenon_L66_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.38/11.53 apply (zenon_L57_); trivial.
% 11.38/11.53 apply (zenon_L15_); trivial.
% 11.38/11.53 apply (zenon_L526_); trivial.
% 11.38/11.53 apply (zenon_L525_); trivial.
% 11.38/11.53 apply (zenon_L519_); trivial.
% 11.38/11.53 apply (zenon_L526_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.38/11.53 apply (zenon_L458_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.38/11.53 apply (zenon_L460_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.38/11.53 apply (zenon_L595_); trivial.
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160.
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3.
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5.
% 11.38/11.53 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.38/11.53 exact (zenon_H234 zenon_H25).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.38/11.53 apply (zenon_L126_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.38/11.53 exact (zenon_H234 zenon_H25).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.38/11.53 apply (zenon_L423_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.38/11.53 apply (zenon_L237_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.38/11.53 apply (zenon_L179_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.38/11.53 apply (zenon_L471_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.38/11.53 apply (zenon_L61_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.38/11.53 exact (zenon_H38 zenon_H33).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.38/11.53 apply (zenon_L231_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.38/11.53 apply (zenon_L601_); trivial.
% 11.38/11.53 exact (zenon_H252 zenon_H15e).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.38/11.53 apply (zenon_L285_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.38/11.53 apply (zenon_L57_); trivial.
% 11.38/11.53 apply (zenon_L15_); trivial.
% 11.38/11.53 apply (zenon_L526_); trivial.
% 11.38/11.53 apply (zenon_L593_); trivial.
% 11.38/11.53 apply (zenon_L519_); trivial.
% 11.38/11.53 apply (zenon_L526_); trivial.
% 11.38/11.53 exact (zenon_H25f zenon_H6d).
% 11.38/11.53 (* end of lemma zenon_L602_ *)
% 11.38/11.53 assert (zenon_L603_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((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) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((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) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 11.38/11.53 do 0 intro. intros zenon_Hb7 zenon_Hc4 zenon_H69 zenon_H15d zenon_Hfb zenon_H260 zenon_H154 zenon_H61 zenon_H148 zenon_H1a2 zenon_H226 zenon_H167 zenon_H1c1 zenon_H117 zenon_H49 zenon_H161 zenon_H38 zenon_H16a zenon_H15a zenon_H14f zenon_H157 zenon_H68 zenon_H79 zenon_H216 zenon_H105 zenon_H20 zenon_H122 zenon_H1e2 zenon_H1f3 zenon_He5 zenon_H15f zenon_H222 zenon_H1d8 zenon_H223 zenon_H194 zenon_H16e zenon_H95 zenon_H71 zenon_H141 zenon_H8d zenon_H25 zenon_H27 zenon_Hb8 zenon_He3 zenon_H34 zenon_H113 zenon_Hed zenon_Heb zenon_He2 zenon_H88 zenon_H3c zenon_H41 zenon_Hf3 zenon_H47 zenon_H30.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.38/11.53 apply (zenon_L129_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.38/11.53 apply (zenon_L325_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.38/11.53 apply (zenon_L3_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.38/11.53 apply (zenon_L3_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.38/11.53 apply (zenon_L352_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.38/11.53 apply (zenon_L108_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.38/11.53 apply (zenon_L211_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.38/11.53 apply (zenon_L304_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.38/11.53 apply (zenon_L53_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.38/11.53 apply (zenon_L352_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.38/11.53 exact (zenon_H68 zenon_H6c).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.38/11.53 apply (zenon_L65_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.38/11.53 exact (zenon_H79 zenon_H78).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.38/11.53 exact (zenon_H260 zenon_Hd0).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.38/11.53 apply (zenon_L347_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.38/11.53 apply (zenon_L174_); trivial.
% 11.38/11.53 apply (zenon_L359_); trivial.
% 11.38/11.53 apply (zenon_L157_); trivial.
% 11.38/11.53 apply (zenon_L362_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.38/11.53 apply (zenon_L171_); trivial.
% 11.38/11.53 apply (zenon_L15_); trivial.
% 11.38/11.53 apply (zenon_L374_); trivial.
% 11.38/11.53 (* end of lemma zenon_L603_ *)
% 11.38/11.53 assert (zenon_L604_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.38/11.53 do 0 intro. intros zenon_H49 zenon_H25 zenon_H30 zenon_H1f zenon_Hed zenon_Heb zenon_He2 zenon_H88 zenon_H3c zenon_H41 zenon_Hf3 zenon_H72 zenon_H27.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.38/11.53 apply (zenon_L3_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.38/11.53 apply (zenon_L211_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.38/11.53 apply (zenon_L171_); trivial.
% 11.38/11.53 apply (zenon_L180_); trivial.
% 11.38/11.53 (* end of lemma zenon_L604_ *)
% 11.38/11.53 assert (zenon_L605_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.38/11.53 do 0 intro. intros zenon_H49 zenon_H4f zenon_H30 zenon_H1f zenon_Hed zenon_Heb zenon_He2 zenon_H88 zenon_H3c zenon_H41 zenon_Hf3 zenon_H72 zenon_H27.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.38/11.53 apply (zenon_L160_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.38/11.53 apply (zenon_L211_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.38/11.53 apply (zenon_L171_); trivial.
% 11.38/11.53 apply (zenon_L180_); trivial.
% 11.38/11.53 (* end of lemma zenon_L605_ *)
% 11.38/11.53 assert (zenon_L606_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e1)) = (e3)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 11.38/11.53 do 0 intro. intros zenon_Hfb zenon_H260 zenon_H27 zenon_H5b zenon_H145 zenon_H6f zenon_Hf6 zenon_Hc3.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.38/11.53 exact (zenon_H260 zenon_Hd0).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.38/11.53 apply (zenon_L347_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.38/11.53 apply (zenon_L174_); trivial.
% 11.38/11.53 apply (zenon_L77_); trivial.
% 11.38/11.53 (* end of lemma zenon_L606_ *)
% 11.38/11.53 assert (zenon_L607_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> False).
% 11.38/11.53 do 0 intro. intros zenon_H148 zenon_H41 zenon_H2c zenon_H79 zenon_Hc3 zenon_Hf6 zenon_H6f zenon_H5b zenon_H27 zenon_H260 zenon_Hfb zenon_H3c zenon_He6.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.38/11.53 apply (zenon_L65_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.38/11.53 exact (zenon_H79 zenon_H78).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.38/11.53 apply (zenon_L606_); trivial.
% 11.38/11.53 apply (zenon_L157_); trivial.
% 11.38/11.53 (* end of lemma zenon_L607_ *)
% 11.38/11.53 assert (zenon_L608_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((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)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 11.38/11.53 do 0 intro. intros zenon_H105 zenon_H30 zenon_H216 zenon_H88 zenon_Hc4 zenon_H69 zenon_H141 zenon_Hed zenon_H10c zenon_H8d zenon_H68 zenon_H3c zenon_Hfb zenon_H260 zenon_H27 zenon_H6f zenon_Hf6 zenon_Hc3 zenon_H79 zenon_H2c zenon_H41 zenon_H148 zenon_H18a zenon_H117.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.38/11.53 apply (zenon_L211_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.38/11.53 apply (zenon_L304_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.38/11.53 apply (zenon_L53_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.38/11.53 apply (zenon_L292_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.38/11.53 exact (zenon_H68 zenon_H6c).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.38/11.53 apply (zenon_L607_); trivial.
% 11.38/11.53 apply (zenon_L332_); trivial.
% 11.38/11.53 (* end of lemma zenon_L608_ *)
% 11.38/11.53 assert (zenon_L609_ : (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e1)) = (e2)) -> False).
% 11.38/11.53 do 0 intro. intros zenon_H41 zenon_H147 zenon_Ha4.
% 11.38/11.53 cut (((op (e3) (e1)) = (e3)) = ((e2) = (e3))).
% 11.38/11.53 intro zenon_D_pnotp.
% 11.38/11.53 apply zenon_H41.
% 11.38/11.53 rewrite <- zenon_D_pnotp.
% 11.38/11.53 exact zenon_H147.
% 11.38/11.53 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.38/11.53 cut (((op (e3) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H121].
% 11.38/11.53 congruence.
% 11.38/11.53 exact (zenon_H121 zenon_Ha4).
% 11.38/11.53 apply zenon_H36. apply refl_equal.
% 11.38/11.53 (* end of lemma zenon_L609_ *)
% 11.38/11.53 assert (zenon_L610_ : (~((e2) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e0)) -> (((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 (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 11.38/11.53 do 0 intro. intros zenon_H41 zenon_Hfb zenon_H260 zenon_H27 zenon_H6f zenon_Hf6 zenon_Hc3 zenon_H79 zenon_H1f zenon_H3c zenon_H148 zenon_He5 zenon_Hed zenon_H68 zenon_H105 zenon_H30 zenon_H216 zenon_H88 zenon_Hc4 zenon_H69 zenon_H141 zenon_H10c zenon_H8d zenon_H106 zenon_H18a zenon_H117.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.38/11.53 apply (zenon_L292_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.38/11.53 exact (zenon_H68 zenon_H6c).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.38/11.53 apply (zenon_L608_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.38/11.53 exact (zenon_H68 zenon_H6c).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.38/11.53 apply (zenon_L133_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.38/11.53 apply (zenon_L130_); trivial.
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.38/11.53 exact (zenon_H79 zenon_H78).
% 11.38/11.53 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.38/11.53 apply (zenon_L606_); trivial.
% 11.38/11.53 apply (zenon_L609_); trivial.
% 11.38/11.53 apply (zenon_L332_); trivial.
% 11.38/11.53 (* end of lemma zenon_L610_ *)
% 11.38/11.53 assert (zenon_L611_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e2)) -> False).
% 11.38/11.53 do 0 intro. intros zenon_H148 zenon_H26 zenon_H2e zenon_H79 zenon_Hc3 zenon_Hf6 zenon_H6f zenon_H5b zenon_H27 zenon_H260 zenon_Hfb zenon_H41 zenon_Ha4.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.38/11.54 apply (zenon_L156_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.38/11.54 exact (zenon_H79 zenon_H78).
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.38/11.54 apply (zenon_L606_); trivial.
% 11.38/11.54 apply (zenon_L609_); trivial.
% 11.38/11.54 (* end of lemma zenon_L611_ *)
% 11.38/11.54 assert (zenon_L612_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e2) = (e3))) -> False).
% 11.38/11.54 do 0 intro. intros zenon_H106 zenon_H68 zenon_He6 zenon_H3c zenon_H148 zenon_H26 zenon_H2e zenon_H79 zenon_Hc3 zenon_Hf6 zenon_H6f zenon_H5b zenon_H27 zenon_H260 zenon_Hfb zenon_H41.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.38/11.54 apply (zenon_L607_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.38/11.54 exact (zenon_H68 zenon_H6c).
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.38/11.54 apply (zenon_L158_); trivial.
% 11.38/11.54 apply (zenon_L611_); trivial.
% 11.38/11.54 (* end of lemma zenon_L612_ *)
% 11.38/11.54 assert (zenon_L613_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 11.38/11.54 do 0 intro. intros zenon_H113 zenon_H10b zenon_H1ca zenon_H15a zenon_H117 zenon_H18a zenon_H148 zenon_H41 zenon_H2c zenon_H79 zenon_Hc3 zenon_Hf6 zenon_H6f zenon_H27 zenon_H260 zenon_Hfb zenon_H3c zenon_H68 zenon_H8d zenon_Hed zenon_H141 zenon_H69 zenon_Hc4 zenon_H216 zenon_H30 zenon_H105 zenon_H88 zenon_H20 zenon_H61 zenon_H72.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.38/11.54 apply (zenon_L354_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.38/11.54 apply (zenon_L608_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.38/11.54 apply (zenon_L92_); trivial.
% 11.38/11.54 apply (zenon_L335_); trivial.
% 11.38/11.54 (* end of lemma zenon_L613_ *)
% 11.38/11.54 assert (zenon_L614_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (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) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e3))/\(((~((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) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((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) (e1)))) -> (((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)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.38/11.54 do 0 intro. intros zenon_H12d zenon_H13a zenon_H1f0 zenon_H125 zenon_H154 zenon_H14f zenon_H4c zenon_H16e zenon_H161 zenon_H203 zenon_H11b zenon_Hcb zenon_H16a zenon_H15f zenon_H44 zenon_H13f zenon_H15d zenon_H30 zenon_H18a zenon_H88 zenon_H228 zenon_H1d5 zenon_H49 zenon_He5 zenon_H106 zenon_H157 zenon_H1f3 zenon_H34 zenon_H61 zenon_H105 zenon_H216 zenon_Hc4 zenon_H69 zenon_H141 zenon_Hed zenon_H8d zenon_H68 zenon_H3c zenon_Hfb zenon_H260 zenon_Hf6 zenon_H79 zenon_H41 zenon_H148 zenon_H117 zenon_H15a zenon_H1ca zenon_H10b zenon_H113 zenon_H27 zenon_H95 zenon_Hb8 zenon_Hb7 zenon_H72 zenon_H20.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.38/11.54 apply (zenon_L396_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.38/11.54 apply (zenon_L399_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.38/11.54 apply (zenon_L401_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.38/11.54 apply (zenon_L406_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.38/11.54 apply (zenon_L160_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.38/11.54 apply (zenon_L402_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.38/11.54 apply (zenon_L387_); trivial.
% 11.38/11.54 apply (zenon_L180_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.38/11.54 apply (zenon_L325_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.38/11.54 apply (zenon_L326_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.38/11.54 apply (zenon_L610_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.38/11.54 apply (zenon_L92_); trivial.
% 11.38/11.54 apply (zenon_L335_); trivial.
% 11.38/11.54 apply (zenon_L395_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.38/11.54 apply (zenon_L160_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.38/11.54 apply (zenon_L402_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.38/11.54 apply (zenon_L6_); trivial.
% 11.38/11.54 apply (zenon_L180_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.38/11.54 apply (zenon_L325_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.38/11.54 apply (zenon_L326_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.38/11.54 apply (zenon_L304_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.38/11.54 apply (zenon_L398_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.38/11.54 apply (zenon_L405_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.38/11.54 exact (zenon_H68 zenon_H6c).
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.38/11.54 apply (zenon_L612_); trivial.
% 11.38/11.54 apply (zenon_L332_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.38/11.54 apply (zenon_L292_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.38/11.54 exact (zenon_H68 zenon_H6c).
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.38/11.54 apply (zenon_L613_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.38/11.54 exact (zenon_H68 zenon_H6c).
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.38/11.54 apply (zenon_L133_); trivial.
% 11.38/11.54 apply (zenon_L611_); trivial.
% 11.38/11.54 apply (zenon_L332_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.38/11.54 apply (zenon_L304_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.38/11.54 apply (zenon_L53_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.38/11.54 apply (zenon_L292_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.38/11.54 exact (zenon_H68 zenon_H6c).
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.38/11.54 apply (zenon_L612_); trivial.
% 11.38/11.54 apply (zenon_L332_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.38/11.54 apply (zenon_L92_); trivial.
% 11.38/11.54 apply (zenon_L335_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.38/11.54 apply (zenon_L613_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.38/11.54 apply (zenon_L6_); trivial.
% 11.38/11.54 apply (zenon_L180_); trivial.
% 11.38/11.54 apply (zenon_L395_); trivial.
% 11.38/11.54 apply (zenon_L182_); trivial.
% 11.38/11.54 (* end of lemma zenon_L614_ *)
% 11.38/11.54 assert (zenon_L615_ : (((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 (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (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) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e3))/\(((~((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) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((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) (e1)))) -> (((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)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.38/11.54 do 0 intro. intros zenon_H1a2 zenon_H92 zenon_H99 zenon_H212 zenon_Heb zenon_He2 zenon_Hf3 zenon_H197 zenon_H194 zenon_He3 zenon_H1aa zenon_H1f zenon_H1c1 zenon_H12d zenon_H13a zenon_H1f0 zenon_H125 zenon_H154 zenon_H14f zenon_H4c zenon_H16e zenon_H161 zenon_H203 zenon_H11b zenon_Hcb zenon_H16a zenon_H15f zenon_H44 zenon_H13f zenon_H15d zenon_H30 zenon_H88 zenon_H228 zenon_H1d5 zenon_H49 zenon_He5 zenon_H106 zenon_H157 zenon_H1f3 zenon_H34 zenon_H61 zenon_H105 zenon_H216 zenon_Hc4 zenon_H69 zenon_H141 zenon_Hed zenon_H8d zenon_H68 zenon_H3c zenon_Hfb zenon_H260 zenon_Hf6 zenon_H79 zenon_H41 zenon_H148 zenon_H117 zenon_H15a zenon_H1ca zenon_H10b zenon_H113 zenon_H27 zenon_H95 zenon_Hb8 zenon_Hb7 zenon_H72 zenon_H20.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ].
% 11.38/11.54 apply (zenon_L341_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ].
% 11.38/11.54 apply (zenon_L133_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ].
% 11.38/11.54 exact (zenon_H1c1 zenon_H5a).
% 11.38/11.54 apply (zenon_L614_); trivial.
% 11.38/11.54 (* end of lemma zenon_L615_ *)
% 11.38/11.54 assert (zenon_L616_ : ((op (e2) (e0)) = (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 (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (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) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e3))/\(((~((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) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((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) (e1)))) -> (((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)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.38/11.54 do 0 intro. intros zenon_H6e zenon_H1a2 zenon_H92 zenon_H212 zenon_Heb zenon_He2 zenon_Hf3 zenon_H197 zenon_H194 zenon_He3 zenon_H1aa zenon_H1f zenon_H1c1 zenon_H12d zenon_H13a zenon_H1f0 zenon_H125 zenon_H154 zenon_H14f zenon_H4c zenon_H16e zenon_H161 zenon_H203 zenon_H11b zenon_Hcb zenon_H16a zenon_H15f zenon_H44 zenon_H13f zenon_H15d zenon_H30 zenon_H88 zenon_H228 zenon_H1d5 zenon_H49 zenon_He5 zenon_H106 zenon_H157 zenon_H1f3 zenon_H34 zenon_H61 zenon_H105 zenon_H216 zenon_Hc4 zenon_H69 zenon_H141 zenon_Hed zenon_H8d zenon_H68 zenon_H3c zenon_Hfb zenon_H260 zenon_Hf6 zenon_H79 zenon_H41 zenon_H148 zenon_H117 zenon_H15a zenon_H1ca zenon_H10b zenon_H113 zenon_H27 zenon_H95 zenon_Hb8 zenon_Hb7 zenon_H72 zenon_H20.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.38/11.54 apply (zenon_L605_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.38/11.54 apply (zenon_L325_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.38/11.54 apply (zenon_L29_); trivial.
% 11.38/11.54 apply (zenon_L615_); trivial.
% 11.38/11.54 (* end of lemma zenon_L616_ *)
% 11.38/11.54 assert (zenon_L617_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 11.38/11.54 do 0 intro. intros zenon_Hfb zenon_H260 zenon_H88 zenon_H20 zenon_He3 zenon_Hed zenon_He2 zenon_H6f zenon_H3c zenon_H167 zenon_Hf6 zenon_Hc3.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.38/11.54 exact (zenon_H260 zenon_Hd0).
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.38/11.54 apply (zenon_L92_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.38/11.54 apply (zenon_L175_); trivial.
% 11.38/11.54 apply (zenon_L77_); trivial.
% 11.38/11.54 (* end of lemma zenon_L617_ *)
% 11.38/11.54 assert (zenon_L618_ : ((op (e3) (e0)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((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 (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (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) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e3))/\(((~((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) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((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) (e1)))) -> (((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)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.38/11.54 do 0 intro. intros zenon_Hc3 zenon_H167 zenon_H1a2 zenon_H92 zenon_H212 zenon_Heb zenon_He2 zenon_Hf3 zenon_H197 zenon_H194 zenon_He3 zenon_H1aa zenon_H1f zenon_H1c1 zenon_H12d zenon_H13a zenon_H1f0 zenon_H125 zenon_H154 zenon_H14f zenon_H4c zenon_H16e zenon_H161 zenon_H203 zenon_H11b zenon_Hcb zenon_H16a zenon_H15f zenon_H44 zenon_H13f zenon_H15d zenon_H30 zenon_H88 zenon_H228 zenon_H1d5 zenon_H49 zenon_He5 zenon_H106 zenon_H157 zenon_H1f3 zenon_H34 zenon_H61 zenon_H105 zenon_H216 zenon_Hc4 zenon_H69 zenon_H141 zenon_Hed zenon_H8d zenon_H68 zenon_H3c zenon_Hfb zenon_H260 zenon_Hf6 zenon_H79 zenon_H41 zenon_H148 zenon_H117 zenon_H15a zenon_H1ca zenon_H10b zenon_H113 zenon_H27 zenon_H95 zenon_Hb8 zenon_Hb7 zenon_H72 zenon_H20.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.38/11.54 apply (zenon_L605_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.38/11.54 apply (zenon_L325_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.38/11.54 apply (zenon_L617_); trivial.
% 11.38/11.54 apply (zenon_L615_); trivial.
% 11.38/11.54 (* end of lemma zenon_L618_ *)
% 11.38/11.54 assert (zenon_L619_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((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) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((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 (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((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)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.38/11.54 do 0 intro. intros zenon_Hb7 zenon_Hb8 zenon_H95 zenon_H27 zenon_H113 zenon_H10b zenon_H1ca zenon_H15a zenon_H117 zenon_H148 zenon_H260 zenon_Hfb zenon_H68 zenon_H69 zenon_Hc4 zenon_H216 zenon_H105 zenon_H61 zenon_H157 zenon_H106 zenon_He5 zenon_H49 zenon_H1d5 zenon_H228 zenon_H13f zenon_H44 zenon_H15f zenon_Hcb zenon_H11b zenon_H203 zenon_H161 zenon_H16e zenon_H4c zenon_H14f zenon_H154 zenon_H125 zenon_H13a zenon_H12d zenon_H1aa zenon_He3 zenon_H194 zenon_H197 zenon_H212 zenon_H92 zenon_H1a2 zenon_H167 zenon_H141 zenon_Hed zenon_H88 zenon_H3c zenon_H79 zenon_Hf3 zenon_H10e zenon_He2 zenon_H1b0 zenon_H122 zenon_H34 zenon_H15d zenon_H16a zenon_Hf6 zenon_H1df zenon_H1e2 zenon_H1f0 zenon_H1f3 zenon_Hb0 zenon_Hb1 zenon_H41 zenon_H30 zenon_Hf0 zenon_H1d8 zenon_H1c1 zenon_Heb zenon_H8d zenon_H72 zenon_H20.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.38/11.54 apply (zenon_L381_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.38/11.54 apply (zenon_L604_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.38/11.54 apply (zenon_L351_); trivial.
% 11.38/11.54 apply (zenon_L182_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.38/11.54 apply (zenon_L381_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.38/11.54 apply (zenon_L326_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.38/11.54 apply (zenon_L351_); trivial.
% 11.38/11.54 apply (zenon_L182_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.38/11.54 apply (zenon_L381_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.38/11.54 apply (zenon_L616_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.38/11.54 apply (zenon_L351_); trivial.
% 11.38/11.54 apply (zenon_L182_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.38/11.54 apply (zenon_L381_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.38/11.54 apply (zenon_L618_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.38/11.54 apply (zenon_L351_); trivial.
% 11.38/11.54 apply (zenon_L182_); trivial.
% 11.38/11.54 (* end of lemma zenon_L619_ *)
% 11.38/11.54 assert (zenon_L620_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> False).
% 11.38/11.54 do 0 intro. intros zenon_H148 zenon_H41 zenon_H79 zenon_H68 zenon_H223 zenon_H1d8 zenon_H1f3 zenon_H2c zenon_H222 zenon_He5 zenon_Hed zenon_H7a zenon_H14f zenon_H15a zenon_H6f zenon_H5b zenon_H27 zenon_H260 zenon_Hfb zenon_H3c zenon_He6.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.38/11.54 apply (zenon_L65_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.38/11.54 exact (zenon_H79 zenon_H78).
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.38/11.54 exact (zenon_H260 zenon_Hd0).
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.38/11.54 apply (zenon_L347_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.38/11.54 apply (zenon_L174_); trivial.
% 11.38/11.54 apply (zenon_L357_); trivial.
% 11.38/11.54 apply (zenon_L157_); trivial.
% 11.38/11.54 (* end of lemma zenon_L620_ *)
% 11.38/11.54 assert (zenon_L621_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.38/11.54 do 0 intro. intros zenon_H44 zenon_H4f zenon_H34 zenon_H1e zenon_H41 zenon_H2f zenon_H47 zenon_H3c.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.38/11.54 apply (zenon_L58_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.38/11.54 apply (zenon_L8_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.38/11.54 apply (zenon_L13_); trivial.
% 11.38/11.54 apply (zenon_L14_); trivial.
% 11.38/11.54 (* end of lemma zenon_L621_ *)
% 11.38/11.54 assert (zenon_L622_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 11.38/11.54 do 0 intro. intros zenon_H49 zenon_H38 zenon_H3c zenon_H41 zenon_H1e zenon_H34 zenon_H4f zenon_H44 zenon_H47 zenon_H30.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.38/11.54 apply (zenon_L160_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.38/11.54 exact (zenon_H38 zenon_H33).
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.38/11.54 apply (zenon_L8_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.38/11.54 apply (zenon_L227_); trivial.
% 11.38/11.54 apply (zenon_L14_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.38/11.54 apply (zenon_L621_); trivial.
% 11.38/11.54 apply (zenon_L15_); trivial.
% 11.38/11.54 (* end of lemma zenon_L622_ *)
% 11.38/11.54 assert (zenon_L623_ : (((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) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.38/11.54 do 0 intro. intros zenon_H15a zenon_H1e zenon_H10b zenon_H1ca zenon_H6d zenon_H68 zenon_H79.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ].
% 11.38/11.54 apply (zenon_L87_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ].
% 11.38/11.54 apply (zenon_L459_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ].
% 11.38/11.54 exact (zenon_H68 zenon_H6c).
% 11.38/11.54 exact (zenon_H79 zenon_H78).
% 11.38/11.54 (* end of lemma zenon_L623_ *)
% 11.38/11.54 assert (zenon_L624_ : (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> False).
% 11.38/11.54 do 0 intro. intros zenon_H1aa zenon_H25 zenon_H6e.
% 11.38/11.54 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e2) (e0)))).
% 11.38/11.54 intro zenon_D_pnotp.
% 11.38/11.54 apply zenon_H1aa.
% 11.38/11.54 rewrite <- zenon_D_pnotp.
% 11.38/11.54 exact zenon_H25.
% 11.38/11.54 cut (((e0) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H261].
% 11.38/11.54 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H188].
% 11.38/11.54 congruence.
% 11.38/11.54 apply zenon_H188. apply refl_equal.
% 11.38/11.54 apply zenon_H261. apply sym_equal. exact zenon_H6e.
% 11.38/11.54 (* end of lemma zenon_L624_ *)
% 11.38/11.54 assert (zenon_L625_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (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) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.38/11.54 do 0 intro. intros zenon_H105 zenon_H20 zenon_H216 zenon_H88 zenon_H79 zenon_H68 zenon_H157 zenon_H10b zenon_H1e zenon_H15a zenon_H16a zenon_H99.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.38/11.54 apply (zenon_L2_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.38/11.54 apply (zenon_L304_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.38/11.54 apply (zenon_L376_); trivial.
% 11.38/11.54 apply (zenon_L146_); trivial.
% 11.38/11.54 (* end of lemma zenon_L625_ *)
% 11.38/11.54 assert (zenon_L626_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 11.38/11.54 do 0 intro. intros zenon_H49 zenon_H30 zenon_H4f zenon_H13a zenon_Hed zenon_H41 zenon_H1e zenon_H34 zenon_H38 zenon_H44 zenon_H18a zenon_H16e.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.38/11.54 apply (zenon_L160_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.38/11.54 exact (zenon_H38 zenon_H33).
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.38/11.54 apply (zenon_L8_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.38/11.54 apply (zenon_L227_); trivial.
% 11.38/11.54 apply (zenon_L113_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.38/11.54 apply (zenon_L115_); trivial.
% 11.38/11.54 apply (zenon_L213_); trivial.
% 11.38/11.54 (* end of lemma zenon_L626_ *)
% 11.38/11.54 assert (zenon_L627_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.38/11.54 do 0 intro. intros zenon_H44 zenon_H4f zenon_H34 zenon_H1e zenon_H3c zenon_H2e zenon_H3f zenon_H41.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.38/11.54 apply (zenon_L58_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.38/11.54 apply (zenon_L8_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.38/11.54 apply (zenon_L9_); trivial.
% 11.38/11.54 apply (zenon_L11_); trivial.
% 11.38/11.54 (* end of lemma zenon_L627_ *)
% 11.38/11.54 assert (zenon_L628_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.38/11.54 do 0 intro. intros zenon_H69 zenon_H75 zenon_H68 zenon_He6 zenon_H3c zenon_Hfb zenon_H260 zenon_H6f zenon_Hf6 zenon_Hc3 zenon_H79 zenon_H2c zenon_H41 zenon_H148 zenon_H7a zenon_H27.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.38/11.54 apply (zenon_L31_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.38/11.54 exact (zenon_H68 zenon_H6c).
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.38/11.54 apply (zenon_L607_); trivial.
% 11.38/11.54 apply (zenon_L103_); trivial.
% 11.38/11.54 (* end of lemma zenon_L628_ *)
% 11.38/11.54 assert (zenon_L629_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (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 (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (op (e3) (e3)))) -> False).
% 11.38/11.54 do 0 intro. intros zenon_H161 zenon_H38 zenon_H27 zenon_H106 zenon_H69 zenon_H68 zenon_H18b zenon_H18a zenon_H148 zenon_H34 zenon_H1e zenon_H79 zenon_Hc3 zenon_Hf6 zenon_H260 zenon_Hfb zenon_H41 zenon_Hc4 zenon_H88 zenon_H216 zenon_H20 zenon_H105 zenon_H10b zenon_H113 zenon_H3c zenon_H6f zenon_H15f zenon_H15d.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.38/11.54 exact (zenon_H38 zenon_H33).
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.38/11.54 apply (zenon_L118_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.38/11.54 apply (zenon_L87_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.38/11.54 apply (zenon_L92_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.38/11.54 apply (zenon_L2_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.38/11.54 apply (zenon_L304_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.38/11.54 apply (zenon_L53_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.38/11.54 apply (zenon_L31_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.38/11.54 exact (zenon_H68 zenon_H6c).
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.38/11.54 apply (zenon_L628_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.38/11.54 exact (zenon_H68 zenon_H6c).
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.38/11.54 apply (zenon_L184_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.38/11.54 apply (zenon_L8_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.38/11.54 exact (zenon_H79 zenon_H78).
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.38/11.54 apply (zenon_L606_); trivial.
% 11.38/11.54 apply (zenon_L609_); trivial.
% 11.38/11.54 apply (zenon_L103_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.38/11.54 apply (zenon_L136_); trivial.
% 11.38/11.54 apply (zenon_L142_); trivial.
% 11.38/11.54 (* end of lemma zenon_L629_ *)
% 11.38/11.54 assert (zenon_L630_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((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)) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (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) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e3))/\(((~((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) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((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) (e1)))) -> (((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)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> False).
% 11.38/11.54 do 0 intro. intros zenon_H18f zenon_H222 zenon_H1d8 zenon_H223 zenon_H38 zenon_H18b zenon_Hfa zenon_H1aa zenon_H71 zenon_H12d zenon_H13a zenon_H1f0 zenon_H125 zenon_H154 zenon_H14f zenon_H4c zenon_H16e zenon_H161 zenon_H203 zenon_H11b zenon_Hcb zenon_H16a zenon_H15f zenon_H44 zenon_H13f zenon_H15d zenon_H30 zenon_H18a zenon_H88 zenon_H228 zenon_H1d5 zenon_H49 zenon_He5 zenon_H106 zenon_H157 zenon_H1f3 zenon_H34 zenon_H61 zenon_H105 zenon_H216 zenon_Hc4 zenon_H69 zenon_H141 zenon_Hed zenon_H8d zenon_H68 zenon_H3c zenon_Hfb zenon_H260 zenon_Hf6 zenon_H79 zenon_H41 zenon_H148 zenon_H117 zenon_H15a zenon_H1ca zenon_H10b zenon_H113 zenon_H27 zenon_H95 zenon_Hb8 zenon_Hb7 zenon_H20.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.38/11.54 apply (zenon_L129_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.38/11.54 apply (zenon_L214_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.38/11.54 apply (zenon_L216_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.38/11.54 apply (zenon_L129_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.38/11.54 apply (zenon_L325_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.38/11.54 apply (zenon_L3_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.38/11.54 exact (zenon_H38 zenon_H33).
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.38/11.54 apply (zenon_L118_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.38/11.54 apply (zenon_L292_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.38/11.54 exact (zenon_H68 zenon_H6c).
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.38/11.54 apply (zenon_L65_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.38/11.54 exact (zenon_H79 zenon_H78).
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.38/11.54 exact (zenon_H260 zenon_Hd0).
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.38/11.54 apply (zenon_L347_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.38/11.54 apply (zenon_L174_); trivial.
% 11.38/11.54 apply (zenon_L358_); trivial.
% 11.38/11.54 apply (zenon_L370_); trivial.
% 11.38/11.54 apply (zenon_L332_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.38/11.54 apply (zenon_L92_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.38/11.54 apply (zenon_L211_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.38/11.54 apply (zenon_L304_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.38/11.54 apply (zenon_L53_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.38/11.54 apply (zenon_L31_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.38/11.54 exact (zenon_H68 zenon_H6c).
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.38/11.54 apply (zenon_L620_); trivial.
% 11.38/11.54 apply (zenon_L332_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.38/11.54 apply (zenon_L136_); trivial.
% 11.38/11.54 apply (zenon_L141_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.38/11.54 apply (zenon_L385_); trivial.
% 11.38/11.54 apply (zenon_L213_); trivial.
% 11.38/11.54 apply (zenon_L372_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.38/11.54 apply (zenon_L129_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.38/11.54 apply (zenon_L2_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.38/11.54 apply (zenon_L216_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.38/11.54 apply (zenon_L622_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.38/11.54 apply (zenon_L623_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.38/11.54 apply (zenon_L3_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.38/11.54 apply (zenon_L3_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.38/11.54 apply (zenon_L352_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.38/11.54 apply (zenon_L108_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.38/11.54 exact (zenon_H38 zenon_H33).
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.38/11.54 apply (zenon_L118_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.38/11.54 apply (zenon_L87_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.38/11.54 apply (zenon_L92_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.38/11.54 apply (zenon_L199_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.38/11.54 apply (zenon_L304_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.38/11.54 apply (zenon_L53_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.38/11.54 apply (zenon_L65_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.38/11.54 exact (zenon_H79 zenon_H78).
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.38/11.54 apply (zenon_L624_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.38/11.54 apply (zenon_L55_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.38/11.54 apply (zenon_L174_); trivial.
% 11.38/11.54 apply (zenon_L187_); trivial.
% 11.38/11.54 apply (zenon_L157_); trivial.
% 11.38/11.54 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.55 apply (zenon_L136_); trivial.
% 11.40/11.55 apply (zenon_L302_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.55 apply (zenon_L115_); trivial.
% 11.40/11.55 apply (zenon_L213_); trivial.
% 11.40/11.55 apply (zenon_L625_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.55 apply (zenon_L626_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.55 apply (zenon_L325_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.55 apply (zenon_L238_); trivial.
% 11.40/11.55 apply (zenon_L625_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.55 apply (zenon_L626_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.55 apply (zenon_L325_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.55 apply (zenon_L29_); trivial.
% 11.40/11.55 apply (zenon_L625_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.55 apply (zenon_L626_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.55 apply (zenon_L2_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.55 apply (zenon_L160_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.55 apply (zenon_L388_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.55 apply (zenon_L6_); trivial.
% 11.40/11.55 apply (zenon_L627_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.55 apply (zenon_L325_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.55 apply (zenon_L629_); trivial.
% 11.40/11.55 apply (zenon_L625_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.55 apply (zenon_L622_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.55 apply (zenon_L623_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.55 apply (zenon_L629_); trivial.
% 11.40/11.55 apply (zenon_L625_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.40/11.55 exact (zenon_H260 zenon_Hd0).
% 11.40/11.55 apply (zenon_L614_); trivial.
% 11.40/11.55 (* end of lemma zenon_L630_ *)
% 11.40/11.55 assert (zenon_L631_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((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 (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_Hb7 zenon_Hb8 zenon_H95 zenon_H27 zenon_H113 zenon_H10b zenon_H1ca zenon_H15a zenon_H117 zenon_H148 zenon_H41 zenon_Hf6 zenon_H260 zenon_Hfb zenon_H68 zenon_H69 zenon_Hc4 zenon_H216 zenon_H105 zenon_H61 zenon_H34 zenon_H1f3 zenon_H157 zenon_H106 zenon_He5 zenon_H49 zenon_H1d5 zenon_H228 zenon_H30 zenon_H15d zenon_H13f zenon_H44 zenon_H15f zenon_H16a zenon_Hcb zenon_H11b zenon_H203 zenon_H161 zenon_H16e zenon_H4c zenon_H14f zenon_H154 zenon_H125 zenon_H1f0 zenon_H13a zenon_H12d zenon_H1c1 zenon_H1aa zenon_He3 zenon_H194 zenon_H197 zenon_Heb zenon_H212 zenon_H92 zenon_H1a2 zenon_H167 zenon_H141 zenon_Hed zenon_H88 zenon_H3c zenon_H79 zenon_Hf3 zenon_H10e zenon_He2 zenon_H201 zenon_H8d zenon_H72 zenon_H20.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.55 apply (zenon_L381_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.55 apply (zenon_L604_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.55 apply (zenon_L410_); trivial.
% 11.40/11.55 apply (zenon_L182_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.55 apply (zenon_L381_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.55 apply (zenon_L326_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.55 apply (zenon_L410_); trivial.
% 11.40/11.55 apply (zenon_L182_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.55 apply (zenon_L381_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.55 apply (zenon_L616_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.55 apply (zenon_L410_); trivial.
% 11.40/11.55 apply (zenon_L182_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.55 apply (zenon_L381_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.55 apply (zenon_L618_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.55 apply (zenon_L410_); trivial.
% 11.40/11.55 apply (zenon_L182_); trivial.
% 11.40/11.55 (* end of lemma zenon_L631_ *)
% 11.40/11.55 assert (zenon_L632_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H1d5 zenon_H30 zenon_H3f zenon_H228 zenon_H88 zenon_H20 zenon_H96 zenon_H15d zenon_H99.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H47 | zenon_intro zenon_H1d6 ].
% 11.40/11.55 apply (zenon_L15_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H90 | zenon_intro zenon_H1d7 ].
% 11.40/11.55 apply (zenon_L391_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H118 | zenon_intro zenon_He7 ].
% 11.40/11.55 apply (zenon_L166_); trivial.
% 11.40/11.55 apply (zenon_L262_); trivial.
% 11.40/11.55 (* end of lemma zenon_L632_ *)
% 11.40/11.55 assert (zenon_L633_ : ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (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)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (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 (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H200 zenon_Hb7 zenon_H105 zenon_H16a zenon_H157 zenon_H13f zenon_H69 zenon_H44 zenon_H49 zenon_H27 zenon_H161 zenon_H113 zenon_H212 zenon_H8d zenon_H187 zenon_H30 zenon_Hb8 zenon_H3c zenon_H41 zenon_H34 zenon_H216 zenon_H68 zenon_H1ca zenon_H15a zenon_H88 zenon_H10e zenon_H20 zenon_H1c1 zenon_H18f zenon_H1d5 zenon_H228 zenon_H125 zenon_H203 zenon_H12d zenon_H13a zenon_H16c zenon_H148 zenon_He5 zenon_H11b zenon_Hf3 zenon_Heb zenon_H197 zenon_H154 zenon_H61 zenon_H95 zenon_H16e zenon_H117 zenon_H194 zenon_H92 zenon_H1aa zenon_Hb9 zenon_H5c zenon_Hcb zenon_H14f zenon_H10b zenon_H106 zenon_He3 zenon_H167 zenon_H141 zenon_H1b0 zenon_H1d8 zenon_H1f3 zenon_H1e2 zenon_H1f0 zenon_H1df zenon_Hf6 zenon_Hb0 zenon_H15d zenon_Hf0 zenon_H122 zenon_H71 zenon_Hc4 zenon_H226 zenon_Hfb zenon_H223 zenon_H222 zenon_H1a2 zenon_H260 zenon_H4c zenon_Hfa zenon_H18b.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H201 ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.40/11.55 apply (zenon_L323_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.40/11.55 apply (zenon_L324_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.40/11.55 apply (zenon_L225_); trivial.
% 11.40/11.55 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160.
% 11.40/11.55 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3.
% 11.40/11.55 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5.
% 11.40/11.55 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.55 apply (zenon_L129_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.55 apply (zenon_L349_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.55 apply (zenon_L351_); trivial.
% 11.40/11.55 apply (zenon_L603_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.40/11.55 apply (zenon_L377_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.40/11.55 exact (zenon_H260 zenon_Hd0).
% 11.40/11.55 apply (zenon_L619_); trivial.
% 11.40/11.55 apply (zenon_L630_); trivial.
% 11.40/11.55 apply (zenon_L391_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.40/11.55 apply (zenon_L619_); trivial.
% 11.40/11.55 apply (zenon_L614_); trivial.
% 11.40/11.55 apply (zenon_L391_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.40/11.55 apply (zenon_L323_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.40/11.55 apply (zenon_L324_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.40/11.55 apply (zenon_L225_); trivial.
% 11.40/11.55 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160.
% 11.40/11.55 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3.
% 11.40/11.55 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5.
% 11.40/11.55 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.55 apply (zenon_L129_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.55 apply (zenon_L129_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.55 apply (zenon_L325_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.55 apply (zenon_L329_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.55 apply (zenon_L3_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.55 apply (zenon_L211_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.55 apply (zenon_L212_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.55 apply (zenon_L3_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.55 apply (zenon_L328_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.40/11.55 apply (zenon_L211_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.40/11.55 exact (zenon_H68 zenon_H6c).
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.40/11.55 apply (zenon_L532_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.40/11.55 apply (zenon_L631_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.40/11.55 apply (zenon_L327_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.40/11.55 apply (zenon_L632_); trivial.
% 11.40/11.55 apply (zenon_L45_); trivial.
% 11.40/11.55 apply (zenon_L41_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.55 apply (zenon_L410_); trivial.
% 11.40/11.55 apply (zenon_L603_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.40/11.55 apply (zenon_L377_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.40/11.55 exact (zenon_H260 zenon_Hd0).
% 11.40/11.55 apply (zenon_L631_); trivial.
% 11.40/11.55 apply (zenon_L630_); trivial.
% 11.40/11.55 apply (zenon_L391_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.40/11.55 apply (zenon_L631_); trivial.
% 11.40/11.55 apply (zenon_L614_); trivial.
% 11.40/11.55 apply (zenon_L391_); trivial.
% 11.40/11.55 (* end of lemma zenon_L633_ *)
% 11.40/11.55 assert (zenon_L634_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H61 zenon_H40 zenon_H8b.
% 11.40/11.55 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 11.40/11.55 intro zenon_D_pnotp.
% 11.40/11.55 apply zenon_H61.
% 11.40/11.55 rewrite <- zenon_D_pnotp.
% 11.40/11.55 exact zenon_H40.
% 11.40/11.55 cut (((e3) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H143].
% 11.40/11.55 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 11.40/11.55 congruence.
% 11.40/11.55 apply zenon_H64. apply refl_equal.
% 11.40/11.55 apply zenon_H143. apply sym_equal. exact zenon_H8b.
% 11.40/11.55 (* end of lemma zenon_L634_ *)
% 11.40/11.55 assert (zenon_L635_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H8d zenon_H41 zenon_H58 zenon_H79 zenon_H34 zenon_He0 zenon_H61 zenon_H40.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.40/11.55 apply (zenon_L31_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.40/11.55 exact (zenon_H79 zenon_H78).
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.40/11.55 apply (zenon_L69_); trivial.
% 11.40/11.55 apply (zenon_L634_); trivial.
% 11.40/11.55 (* end of lemma zenon_L635_ *)
% 11.40/11.55 assert (zenon_L636_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H113 zenon_H25 zenon_H187 zenon_H207 zenon_H40 zenon_H61 zenon_H34 zenon_H79 zenon_H58 zenon_H41 zenon_H8d zenon_H90 zenon_H20.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.40/11.55 apply (zenon_L298_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.40/11.55 exact (zenon_H207 zenon_H10c).
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.40/11.55 apply (zenon_L635_); trivial.
% 11.40/11.55 apply (zenon_L38_); trivial.
% 11.40/11.55 (* end of lemma zenon_L636_ *)
% 11.40/11.55 assert (zenon_L637_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H44 zenon_H3c zenon_H1f zenon_H2f zenon_H113 zenon_H25 zenon_H187 zenon_H207 zenon_H61 zenon_H34 zenon_H79 zenon_H58 zenon_H41 zenon_H8d zenon_H90 zenon_H20.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.55 apply (zenon_L7_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.55 apply (zenon_L130_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.55 apply (zenon_L13_); trivial.
% 11.40/11.55 apply (zenon_L636_); trivial.
% 11.40/11.55 (* end of lemma zenon_L637_ *)
% 11.40/11.55 assert (zenon_L638_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_Hf0 zenon_H96 zenon_He3 zenon_H90 zenon_H62 zenon_H141 zenon_H233.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.40/11.55 apply (zenon_L71_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.40/11.55 apply (zenon_L248_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.40/11.55 apply (zenon_L336_); trivial.
% 11.40/11.55 exact (zenon_H233 zenon_Hed).
% 11.40/11.55 (* end of lemma zenon_L638_ *)
% 11.40/11.55 assert (zenon_L639_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H11b zenon_H6d zenon_H16c zenon_H1f zenon_Hcb zenon_H152 zenon_Hcc zenon_H30 zenon_H18a.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.40/11.55 apply (zenon_L149_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.40/11.55 apply (zenon_L330_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.40/11.55 apply (zenon_L242_); trivial.
% 11.40/11.55 apply (zenon_L245_); trivial.
% 11.40/11.55 (* end of lemma zenon_L639_ *)
% 11.40/11.55 assert (zenon_L640_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False).
% 11.40/11.55 do 0 intro. intros zenon_Hc0 zenon_H6f zenon_H11f.
% 11.40/11.55 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (e0)) = (op (e2) (e2)))).
% 11.40/11.55 intro zenon_D_pnotp.
% 11.40/11.55 apply zenon_Hc0.
% 11.40/11.55 rewrite <- zenon_D_pnotp.
% 11.40/11.55 exact zenon_H6f.
% 11.40/11.55 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 11.40/11.55 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 11.40/11.55 congruence.
% 11.40/11.55 apply zenon_H98. apply refl_equal.
% 11.40/11.55 apply zenon_H19a. apply sym_equal. exact zenon_H11f.
% 11.40/11.55 (* end of lemma zenon_L640_ *)
% 11.40/11.55 assert (zenon_L641_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H19c zenon_Hcf zenon_H6f zenon_Hc0 zenon_H18a zenon_H192 zenon_He2.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ].
% 11.40/11.55 exact (zenon_Hcf zenon_Hce).
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ].
% 11.40/11.55 apply (zenon_L640_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ].
% 11.40/11.55 apply (zenon_L186_); trivial.
% 11.40/11.55 exact (zenon_He2 zenon_He1).
% 11.40/11.55 (* end of lemma zenon_L641_ *)
% 11.40/11.55 assert (zenon_L642_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_Hf0 zenon_H96 zenon_He6 zenon_He5 zenon_H18a zenon_He3 zenon_H233.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.40/11.55 apply (zenon_L71_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.40/11.55 apply (zenon_L72_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.40/11.55 apply (zenon_L188_); trivial.
% 11.40/11.55 exact (zenon_H233 zenon_Hed).
% 11.40/11.55 (* end of lemma zenon_L642_ *)
% 11.40/11.55 assert (zenon_L643_ : ((op (e3) (e1)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H147 zenon_H145 zenon_H1cb.
% 11.40/11.55 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H239 | zenon_intro zenon_He9 ].
% 11.40/11.55 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e2) (e1)) = (op (e3) (e1)))).
% 11.40/11.55 intro zenon_D_pnotp.
% 11.40/11.55 apply zenon_H1cb.
% 11.40/11.55 rewrite <- zenon_D_pnotp.
% 11.40/11.55 exact zenon_H239.
% 11.40/11.55 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9].
% 11.40/11.55 cut (((op (e3) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H262].
% 11.40/11.55 congruence.
% 11.40/11.55 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e2) (e1)))).
% 11.40/11.55 intro zenon_D_pnotp.
% 11.40/11.55 apply zenon_H262.
% 11.40/11.55 rewrite <- zenon_D_pnotp.
% 11.40/11.55 exact zenon_H147.
% 11.40/11.55 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H176].
% 11.40/11.55 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9].
% 11.40/11.55 congruence.
% 11.40/11.55 apply zenon_He9. apply refl_equal.
% 11.40/11.55 apply zenon_H176. apply sym_equal. exact zenon_H145.
% 11.40/11.55 apply zenon_He9. apply refl_equal.
% 11.40/11.55 apply zenon_He9. apply refl_equal.
% 11.40/11.55 (* end of lemma zenon_L643_ *)
% 11.40/11.55 assert (zenon_L644_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H251 zenon_H9a zenon_H41 zenon_H1cb zenon_H145 zenon_H1d9 zenon_H3c zenon_H233.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.40/11.55 apply (zenon_L302_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.40/11.55 apply (zenon_L643_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.40/11.55 apply (zenon_L273_); trivial.
% 11.40/11.55 exact (zenon_H233 zenon_Hed).
% 11.40/11.55 (* end of lemma zenon_L644_ *)
% 11.40/11.55 assert (zenon_L645_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e0)) = (e2)) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H1f0 zenon_H30 zenon_He3 zenon_H18a zenon_He5 zenon_H96 zenon_Hf0 zenon_H233 zenon_H3c zenon_H145 zenon_H1cb zenon_H41 zenon_H251 zenon_H120 zenon_H9a.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ].
% 11.40/11.55 apply (zenon_L41_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ].
% 11.40/11.55 apply (zenon_L642_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ].
% 11.40/11.55 apply (zenon_L644_); trivial.
% 11.40/11.55 apply (zenon_L266_); trivial.
% 11.40/11.55 (* end of lemma zenon_L645_ *)
% 11.40/11.55 assert (zenon_L646_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H242 zenon_H96 zenon_H11f zenon_Hc0 zenon_H95 zenon_H18a zenon_H15e zenon_H226.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H6e | zenon_intro zenon_H243 ].
% 11.40/11.55 apply (zenon_L40_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H6f | zenon_intro zenon_H244 ].
% 11.40/11.55 apply (zenon_L640_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H152 ].
% 11.40/11.55 apply (zenon_L334_); trivial.
% 11.40/11.55 apply (zenon_L438_); trivial.
% 11.40/11.55 (* end of lemma zenon_L646_ *)
% 11.40/11.55 assert (zenon_L647_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H263 zenon_H11f zenon_H152 zenon_H1f zenon_Hcb zenon_H18b zenon_H18a zenon_H147 zenon_H1cb.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_Hcc | zenon_intro zenon_H264 ].
% 11.40/11.55 apply (zenon_L242_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H265 ].
% 11.40/11.55 apply (zenon_L330_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H145 ].
% 11.40/11.55 apply (zenon_L184_); trivial.
% 11.40/11.55 apply (zenon_L643_); trivial.
% 11.40/11.55 (* end of lemma zenon_L647_ *)
% 11.40/11.55 assert (zenon_L648_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H251 zenon_H226 zenon_H95 zenon_Hc0 zenon_H96 zenon_H242 zenon_H1cb zenon_H18a zenon_H18b zenon_Hcb zenon_H1f zenon_H152 zenon_H11f zenon_H263 zenon_Hf7 zenon_H34 zenon_H233.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.40/11.55 apply (zenon_L646_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.40/11.55 apply (zenon_L647_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.40/11.55 apply (zenon_L89_); trivial.
% 11.40/11.55 exact (zenon_H233 zenon_Hed).
% 11.40/11.55 (* end of lemma zenon_L648_ *)
% 11.40/11.55 assert (zenon_L649_ : (((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)))) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((e1) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H122 zenon_H25 zenon_H1e2 zenon_H9a zenon_H41 zenon_H145 zenon_H3c zenon_Hf0 zenon_He5 zenon_He3 zenon_H30 zenon_H1f0 zenon_H233 zenon_H34 zenon_H263 zenon_H11f zenon_H152 zenon_H1f zenon_Hcb zenon_H18b zenon_H18a zenon_H1cb zenon_H242 zenon_H96 zenon_Hc0 zenon_H95 zenon_H226 zenon_H251 zenon_H9e.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ].
% 11.40/11.55 apply (zenon_L261_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ].
% 11.40/11.55 apply (zenon_L645_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ].
% 11.40/11.55 apply (zenon_L648_); trivial.
% 11.40/11.55 exact (zenon_H9e zenon_H9d).
% 11.40/11.55 (* end of lemma zenon_L649_ *)
% 11.40/11.55 assert (zenon_L650_ : ((op (e2) (e3)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((e2) = (e3))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H18a zenon_H164 zenon_H41.
% 11.40/11.55 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 11.40/11.55 cut (((e3) = (e3)) = ((e2) = (e3))).
% 11.40/11.55 intro zenon_D_pnotp.
% 11.40/11.55 apply zenon_H41.
% 11.40/11.55 rewrite <- zenon_D_pnotp.
% 11.40/11.55 exact zenon_H35.
% 11.40/11.55 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.40/11.55 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H42].
% 11.40/11.55 congruence.
% 11.40/11.55 cut (((op (e2) (e3)) = (e2)) = ((e3) = (e2))).
% 11.40/11.55 intro zenon_D_pnotp.
% 11.40/11.55 apply zenon_H42.
% 11.40/11.55 rewrite <- zenon_D_pnotp.
% 11.40/11.55 exact zenon_H18a.
% 11.40/11.55 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 11.40/11.55 cut (((op (e2) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H266].
% 11.40/11.55 congruence.
% 11.40/11.55 exact (zenon_H266 zenon_H164).
% 11.40/11.55 apply zenon_H29. apply refl_equal.
% 11.40/11.55 apply zenon_H36. apply refl_equal.
% 11.40/11.55 apply zenon_H36. apply refl_equal.
% 11.40/11.55 (* end of lemma zenon_L650_ *)
% 11.40/11.55 assert (zenon_L651_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H167 zenon_H3c zenon_H6f zenon_H1cb zenon_H147 zenon_He2 zenon_H18a zenon_H41.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ].
% 11.40/11.55 apply (zenon_L136_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ].
% 11.40/11.55 apply (zenon_L643_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ].
% 11.40/11.55 exact (zenon_He2 zenon_He1).
% 11.40/11.55 apply (zenon_L650_); trivial.
% 11.40/11.55 (* end of lemma zenon_L651_ *)
% 11.40/11.55 assert (zenon_L652_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H11b zenon_H41 zenon_He2 zenon_H3c zenon_H167 zenon_H1cb zenon_H147 zenon_H18b zenon_Hcb zenon_H1f zenon_H152 zenon_H263 zenon_H30 zenon_H18a.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.40/11.55 apply (zenon_L651_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.40/11.55 apply (zenon_L330_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.40/11.55 apply (zenon_L647_); trivial.
% 11.40/11.55 apply (zenon_L245_); trivial.
% 11.40/11.55 (* end of lemma zenon_L652_ *)
% 11.40/11.55 assert (zenon_L653_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (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) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H161 zenon_H6d zenon_H18a zenon_H30 zenon_H263 zenon_H1f zenon_Hcb zenon_H18b zenon_H1cb zenon_H167 zenon_H3c zenon_He2 zenon_H11b zenon_Hfa zenon_H192 zenon_Hcf zenon_H19c zenon_H9e zenon_H251 zenon_H226 zenon_H95 zenon_Hc0 zenon_H242 zenon_H34 zenon_H233 zenon_H1f0 zenon_He3 zenon_He5 zenon_Hf0 zenon_H1e2 zenon_H25 zenon_H122 zenon_H20 zenon_H79 zenon_H148 zenon_H41 zenon_H9a.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.55 apply (zenon_L7_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.55 apply (zenon_L123_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.40/11.55 apply (zenon_L130_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.40/11.55 exact (zenon_H79 zenon_H78).
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.40/11.55 apply (zenon_L161_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.40/11.55 apply (zenon_L403_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.40/11.55 exact (zenon_Hcf zenon_Hce).
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.40/11.55 apply (zenon_L641_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.40/11.55 apply (zenon_L330_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.40/11.55 apply (zenon_L649_); trivial.
% 11.40/11.55 apply (zenon_L166_); trivial.
% 11.40/11.55 apply (zenon_L652_); trivial.
% 11.40/11.55 apply (zenon_L302_); trivial.
% 11.40/11.55 (* end of lemma zenon_L653_ *)
% 11.40/11.55 assert (zenon_L654_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H251 zenon_H226 zenon_H95 zenon_Hc0 zenon_H96 zenon_H242 zenon_H1cb zenon_H18a zenon_H18b zenon_Hcb zenon_H1f zenon_H152 zenon_H11f zenon_H263 zenon_Hae zenon_H41 zenon_H233.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.40/11.55 apply (zenon_L646_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.40/11.55 apply (zenon_L647_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.40/11.55 apply (zenon_L271_); trivial.
% 11.40/11.55 exact (zenon_H233 zenon_Hed).
% 11.40/11.55 (* end of lemma zenon_L654_ *)
% 11.40/11.55 assert (zenon_L655_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e1))) -> (((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)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.40/11.55 do 0 intro. intros zenon_Hb0 zenon_H148 zenon_H79 zenon_H20 zenon_H122 zenon_H25 zenon_H1e2 zenon_Hf0 zenon_He5 zenon_H1f0 zenon_H34 zenon_H9e zenon_H19c zenon_Hcf zenon_H192 zenon_Hfa zenon_H11b zenon_He2 zenon_H3c zenon_H167 zenon_H30 zenon_H6d zenon_H161 zenon_H27 zenon_H120 zenon_H233 zenon_H41 zenon_H263 zenon_H11f zenon_H152 zenon_H1f zenon_Hcb zenon_H18b zenon_H1cb zenon_H242 zenon_H96 zenon_Hc0 zenon_H95 zenon_H226 zenon_H251 zenon_He3 zenon_H18a.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.40/11.55 apply (zenon_L653_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.40/11.55 apply (zenon_L98_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.40/11.55 apply (zenon_L654_); trivial.
% 11.40/11.55 apply (zenon_L188_); trivial.
% 11.40/11.55 (* end of lemma zenon_L655_ *)
% 11.40/11.55 assert (zenon_L656_ : (((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 (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H242 zenon_Hcc zenon_Hc4 zenon_H6d zenon_H16c zenon_H95 zenon_H18a zenon_H15e zenon_H226.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H6e | zenon_intro zenon_H243 ].
% 11.40/11.55 apply (zenon_L464_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H6f | zenon_intro zenon_H244 ].
% 11.40/11.55 apply (zenon_L149_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H152 ].
% 11.40/11.55 apply (zenon_L334_); trivial.
% 11.40/11.55 apply (zenon_L438_); trivial.
% 11.40/11.55 (* end of lemma zenon_L656_ *)
% 11.40/11.55 assert (zenon_L657_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H242 zenon_H96 zenon_Hc5 zenon_Hc4 zenon_H95 zenon_H18a zenon_H15e zenon_H226.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H6e | zenon_intro zenon_H243 ].
% 11.40/11.55 apply (zenon_L40_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H6f | zenon_intro zenon_H244 ].
% 11.40/11.55 apply (zenon_L53_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H152 ].
% 11.40/11.55 apply (zenon_L334_); trivial.
% 11.40/11.55 apply (zenon_L438_); trivial.
% 11.40/11.55 (* end of lemma zenon_L657_ *)
% 11.40/11.55 assert (zenon_L658_ : (((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 (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_Hfa zenon_H25 zenon_H1aa zenon_H16c zenon_H6d zenon_Hcf zenon_H242 zenon_Hc5 zenon_Hc4 zenon_H95 zenon_H18a zenon_H15e zenon_H226.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.40/11.55 apply (zenon_L624_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.40/11.55 apply (zenon_L656_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.40/11.55 exact (zenon_Hcf zenon_Hce).
% 11.40/11.55 apply (zenon_L657_); trivial.
% 11.40/11.55 (* end of lemma zenon_L658_ *)
% 11.40/11.55 assert (zenon_L659_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((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)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e0) = (e1))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H11b zenon_He2 zenon_H192 zenon_H19c zenon_Hc4 zenon_Hcf zenon_H6d zenon_H16c zenon_H1aa zenon_H25 zenon_Hfa zenon_H226 zenon_H15e zenon_H18a zenon_H95 zenon_Hc0 zenon_H242 zenon_H20.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.40/11.55 apply (zenon_L624_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.40/11.55 apply (zenon_L656_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.40/11.55 exact (zenon_Hcf zenon_Hce).
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.40/11.55 apply (zenon_L641_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.40/11.55 apply (zenon_L658_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.40/11.55 apply (zenon_L646_); trivial.
% 11.40/11.55 apply (zenon_L166_); trivial.
% 11.40/11.55 (* end of lemma zenon_L659_ *)
% 11.40/11.55 assert (zenon_L660_ : (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e0) = (e1))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H30 zenon_He3 zenon_H41 zenon_H27 zenon_H161 zenon_H167 zenon_H3c zenon_H1f0 zenon_He5 zenon_Hf0 zenon_H1e2 zenon_H122 zenon_H79 zenon_H148 zenon_Hb0 zenon_H233 zenon_H34 zenon_H263 zenon_H1f zenon_Hcb zenon_H18b zenon_H1cb zenon_H251 zenon_H9e zenon_H11b zenon_He2 zenon_H192 zenon_H19c zenon_Hc4 zenon_Hcf zenon_H6d zenon_H16c zenon_H1aa zenon_H25 zenon_Hfa zenon_H226 zenon_H18a zenon_H95 zenon_Hc0 zenon_H242 zenon_H20.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.55 apply (zenon_L7_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.55 apply (zenon_L123_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.40/11.55 apply (zenon_L624_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.40/11.55 apply (zenon_L639_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.40/11.55 exact (zenon_Hcf zenon_Hce).
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.40/11.55 apply (zenon_L641_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.40/11.55 apply (zenon_L330_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ].
% 11.40/11.55 apply (zenon_L261_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ].
% 11.40/11.55 apply (zenon_L655_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ].
% 11.40/11.55 apply (zenon_L648_); trivial.
% 11.40/11.55 exact (zenon_H9e zenon_H9d).
% 11.40/11.55 apply (zenon_L245_); trivial.
% 11.40/11.55 apply (zenon_L659_); trivial.
% 11.40/11.55 (* end of lemma zenon_L660_ *)
% 11.40/11.55 assert (zenon_L661_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_Hfb zenon_H27 zenon_H20 zenon_Hcf zenon_Hf3 zenon_H41 zenon_H2f zenon_H3c zenon_H88 zenon_He2 zenon_H34.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.40/11.55 apply (zenon_L57_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.40/11.55 apply (zenon_L92_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.40/11.55 exact (zenon_Hcf zenon_Hce).
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.40/11.55 apply (zenon_L13_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.40/11.55 apply (zenon_L35_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.40/11.55 exact (zenon_He2 zenon_He1).
% 11.40/11.55 apply (zenon_L89_); trivial.
% 11.40/11.55 (* end of lemma zenon_L661_ *)
% 11.40/11.55 assert (zenon_L662_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_Hf0 zenon_Hc3 zenon_H99 zenon_H15d zenon_H18a zenon_He3 zenon_H233.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.40/11.55 apply (zenon_L548_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.40/11.55 apply (zenon_L262_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.40/11.55 apply (zenon_L188_); trivial.
% 11.40/11.55 exact (zenon_H233 zenon_Hed).
% 11.40/11.55 (* end of lemma zenon_L662_ *)
% 11.40/11.55 assert (zenon_L663_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.40/11.55 do 0 intro. intros zenon_Hb0 zenon_H251 zenon_H1cb zenon_H145 zenon_H3c zenon_H233 zenon_Hf0 zenon_H96 zenon_He5 zenon_H30 zenon_H1f0 zenon_H27 zenon_H120 zenon_Hec zenon_H41 zenon_He3 zenon_H18a.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.40/11.55 apply (zenon_L645_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.40/11.55 apply (zenon_L98_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.40/11.55 apply (zenon_L271_); trivial.
% 11.40/11.55 apply (zenon_L188_); trivial.
% 11.40/11.55 (* end of lemma zenon_L663_ *)
% 11.40/11.55 assert (zenon_L664_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_Hf3 zenon_H2f zenon_H75 zenon_H10e zenon_He2 zenon_Hb9 zenon_H34 zenon_H40 zenon_H20 zenon_H90 zenon_H18a zenon_He3 zenon_H41 zenon_H120 zenon_H27 zenon_H1f0 zenon_H30 zenon_He5 zenon_Hf0 zenon_H233 zenon_H3c zenon_H145 zenon_H1cb zenon_H251 zenon_Hb0 zenon_H9e.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.40/11.55 apply (zenon_L13_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.40/11.55 apply (zenon_L229_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.40/11.55 exact (zenon_He2 zenon_He1).
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.40/11.55 apply (zenon_L379_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.40/11.55 apply (zenon_L38_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.40/11.55 apply (zenon_L663_); trivial.
% 11.40/11.55 exact (zenon_H9e zenon_H9d).
% 11.40/11.55 (* end of lemma zenon_L664_ *)
% 11.40/11.55 assert (zenon_L665_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H122 zenon_H15d zenon_H99 zenon_Hb0 zenon_H251 zenon_H1cb zenon_H145 zenon_H3c zenon_H233 zenon_Hf0 zenon_He5 zenon_H30 zenon_H1f0 zenon_H27 zenon_H41 zenon_He3 zenon_H18a zenon_H90 zenon_H20 zenon_H40 zenon_Hb9 zenon_He2 zenon_H10e zenon_H75 zenon_H2f zenon_Hf3 zenon_H34 zenon_H9e.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.40/11.55 apply (zenon_L13_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.40/11.55 apply (zenon_L229_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.40/11.55 exact (zenon_He2 zenon_He1).
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ].
% 11.40/11.55 apply (zenon_L662_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ].
% 11.40/11.55 apply (zenon_L664_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ].
% 11.40/11.55 apply (zenon_L89_); trivial.
% 11.40/11.55 exact (zenon_H9e zenon_H9d).
% 11.40/11.55 (* end of lemma zenon_L665_ *)
% 11.40/11.55 assert (zenon_L666_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H11b zenon_H41 zenon_He2 zenon_H147 zenon_H1cb zenon_H3c zenon_H167 zenon_H1f zenon_Hcb zenon_H152 zenon_Hcc zenon_H30 zenon_H18a.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.40/11.55 apply (zenon_L651_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.40/11.55 apply (zenon_L330_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.40/11.55 apply (zenon_L242_); trivial.
% 11.40/11.55 apply (zenon_L245_); trivial.
% 11.40/11.55 (* end of lemma zenon_L666_ *)
% 11.40/11.55 assert (zenon_L667_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H16e zenon_H40 zenon_H164.
% 11.40/11.55 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 11.40/11.55 intro zenon_D_pnotp.
% 11.40/11.55 apply zenon_H16e.
% 11.40/11.55 rewrite <- zenon_D_pnotp.
% 11.40/11.55 exact zenon_H40.
% 11.40/11.55 cut (((e3) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H166].
% 11.40/11.55 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 11.40/11.55 congruence.
% 11.40/11.55 apply zenon_H64. apply refl_equal.
% 11.40/11.55 apply zenon_H166. apply sym_equal. exact zenon_H164.
% 11.40/11.55 (* end of lemma zenon_L667_ *)
% 11.40/11.55 assert (zenon_L668_ : ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H18a zenon_H30 zenon_Hcc zenon_Hcb zenon_H1f zenon_H167 zenon_H3c zenon_H41 zenon_H11b zenon_H1cb zenon_H147 zenon_He2 zenon_H16e zenon_H40.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ].
% 11.40/11.55 apply (zenon_L666_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ].
% 11.40/11.55 apply (zenon_L643_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ].
% 11.40/11.55 exact (zenon_He2 zenon_He1).
% 11.40/11.55 apply (zenon_L667_); trivial.
% 11.40/11.55 (* end of lemma zenon_L668_ *)
% 11.40/11.55 assert (zenon_L669_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H148 zenon_H79 zenon_H9e zenon_H34 zenon_Hf3 zenon_H2f zenon_H75 zenon_H10e zenon_Hb9 zenon_H20 zenon_H90 zenon_He3 zenon_H27 zenon_H1f0 zenon_He5 zenon_Hf0 zenon_H233 zenon_H251 zenon_Hb0 zenon_H99 zenon_H15d zenon_H122 zenon_H18a zenon_H30 zenon_Hcc zenon_Hcb zenon_H1f zenon_H167 zenon_H3c zenon_H41 zenon_H11b zenon_H1cb zenon_He2 zenon_H16e zenon_H40.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.40/11.55 apply (zenon_L130_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.40/11.55 exact (zenon_H79 zenon_H78).
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.40/11.55 apply (zenon_L665_); trivial.
% 11.40/11.55 apply (zenon_L668_); trivial.
% 11.40/11.55 (* end of lemma zenon_L669_ *)
% 11.40/11.55 assert (zenon_L670_ : (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e1)) = (e0)) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H34 zenon_H147 zenon_H120.
% 11.40/11.55 cut (((op (e3) (e1)) = (e3)) = ((e0) = (e3))).
% 11.40/11.55 intro zenon_D_pnotp.
% 11.40/11.55 apply zenon_H34.
% 11.40/11.55 rewrite <- zenon_D_pnotp.
% 11.40/11.55 exact zenon_H147.
% 11.40/11.55 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 11.40/11.55 cut (((op (e3) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H267].
% 11.40/11.55 congruence.
% 11.40/11.55 exact (zenon_H267 zenon_H120).
% 11.40/11.55 apply zenon_H36. apply refl_equal.
% 11.40/11.55 (* end of lemma zenon_L670_ *)
% 11.40/11.55 assert (zenon_L671_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e0)) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H92 zenon_H10b zenon_Hcf zenon_Hfb zenon_H148 zenon_H1f zenon_H79 zenon_H9e zenon_Hb0 zenon_H251 zenon_H1cb zenon_H3c zenon_H233 zenon_Hf0 zenon_He5 zenon_H30 zenon_H1f0 zenon_H27 zenon_H41 zenon_He3 zenon_H18a zenon_H20 zenon_H40 zenon_Hb9 zenon_He2 zenon_H10e zenon_H75 zenon_H2f zenon_Hf3 zenon_H34 zenon_H120.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.40/11.55 apply (zenon_L123_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.40/11.55 apply (zenon_L223_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.40/11.55 apply (zenon_L661_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.40/11.55 apply (zenon_L130_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.40/11.55 exact (zenon_H79 zenon_H78).
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.40/11.55 apply (zenon_L664_); trivial.
% 11.40/11.55 apply (zenon_L670_); trivial.
% 11.40/11.55 (* end of lemma zenon_L671_ *)
% 11.40/11.55 assert (zenon_L672_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e3)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H203 zenon_H207 zenon_H148 zenon_H79 zenon_H20 zenon_Hb0 zenon_H9e zenon_H1f0 zenon_H30 zenon_He5 zenon_Hf0 zenon_H3c zenon_H1e2 zenon_H25 zenon_H122 zenon_H27 zenon_H233 zenon_H41 zenon_H263 zenon_H152 zenon_H1f zenon_Hcb zenon_H18b zenon_H1cb zenon_H242 zenon_Hc0 zenon_H95 zenon_H226 zenon_H251 zenon_He3 zenon_H18a zenon_H11b zenon_Hcf zenon_Hfa zenon_H34.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.40/11.55 apply (zenon_L2_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.40/11.55 exact (zenon_H207 zenon_H10c).
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.40/11.55 apply (zenon_L403_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.40/11.55 apply (zenon_L130_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.40/11.55 exact (zenon_H79 zenon_H78).
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.40/11.55 apply (zenon_L161_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.40/11.55 apply (zenon_L403_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.40/11.55 exact (zenon_Hcf zenon_Hce).
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.40/11.55 apply (zenon_L136_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.40/11.55 apply (zenon_L330_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.40/11.55 apply (zenon_L649_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.40/11.55 apply (zenon_L98_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.40/11.55 apply (zenon_L654_); trivial.
% 11.40/11.55 apply (zenon_L188_); trivial.
% 11.40/11.55 apply (zenon_L166_); trivial.
% 11.40/11.55 apply (zenon_L670_); trivial.
% 11.40/11.55 (* end of lemma zenon_L672_ *)
% 11.40/11.55 assert (zenon_L673_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H19c zenon_Hcf zenon_H2e zenon_H65 zenon_H18a zenon_H192 zenon_He2.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ].
% 11.40/11.55 exact (zenon_Hcf zenon_Hce).
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ].
% 11.40/11.55 apply (zenon_L578_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ].
% 11.40/11.55 apply (zenon_L186_); trivial.
% 11.40/11.55 exact (zenon_He2 zenon_He1).
% 11.40/11.55 (* end of lemma zenon_L673_ *)
% 11.40/11.55 assert (zenon_L674_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H236 zenon_H3c zenon_H47 zenon_H34 zenon_H7a zenon_H41 zenon_H18a zenon_H233.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H40 | zenon_intro zenon_H237 ].
% 11.40/11.55 apply (zenon_L14_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H8b | zenon_intro zenon_H238 ].
% 11.40/11.55 apply (zenon_L36_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H164 | zenon_intro zenon_Hed ].
% 11.40/11.55 apply (zenon_L650_); trivial.
% 11.40/11.55 exact (zenon_H233 zenon_Hed).
% 11.40/11.55 (* end of lemma zenon_L674_ *)
% 11.40/11.55 assert (zenon_L675_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_Hf0 zenon_H96 zenon_H47 zenon_H13a zenon_H18a zenon_He3 zenon_H233.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.40/11.55 apply (zenon_L71_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.40/11.55 apply (zenon_L507_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.40/11.55 apply (zenon_L188_); trivial.
% 11.40/11.55 exact (zenon_H233 zenon_Hed).
% 11.40/11.55 (* end of lemma zenon_L675_ *)
% 11.40/11.55 assert (zenon_L676_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_Hb9 zenon_H20 zenon_H41 zenon_H34 zenon_H3c zenon_H236 zenon_H233 zenon_He3 zenon_H18a zenon_H13a zenon_H47 zenon_Hf0 zenon_H9e.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.40/11.55 apply (zenon_L182_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.40/11.55 apply (zenon_L674_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.40/11.55 apply (zenon_L675_); trivial.
% 11.40/11.55 exact (zenon_H9e zenon_H9d).
% 11.40/11.55 (* end of lemma zenon_L676_ *)
% 11.40/11.55 assert (zenon_L677_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (((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 (e3) (e0)))) -> (((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 (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 11.40/11.55 do 0 intro. intros zenon_Hb7 zenon_H20 zenon_H242 zenon_H95 zenon_H226 zenon_Hfa zenon_H25 zenon_H1aa zenon_H16c zenon_Hc4 zenon_H11b zenon_He2 zenon_H192 zenon_H18a zenon_Hc0 zenon_Hcf zenon_H19c zenon_H3c zenon_H15e.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.55 apply (zenon_L129_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.55 apply (zenon_L659_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.55 apply (zenon_L641_); trivial.
% 11.40/11.55 apply (zenon_L196_); trivial.
% 11.40/11.55 (* end of lemma zenon_L677_ *)
% 11.40/11.55 assert (zenon_L678_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((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)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (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) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H1fb zenon_H4c zenon_H236 zenon_H13a zenon_Hb9 zenon_H65 zenon_H34 zenon_H3c zenon_H6d zenon_H19c zenon_He2 zenon_H192 zenon_Hc0 zenon_H161 zenon_H79 zenon_Hfa zenon_H122 zenon_H242 zenon_H226 zenon_H95 zenon_H263 zenon_H18b zenon_Hf0 zenon_H233 zenon_He5 zenon_He3 zenon_H251 zenon_H1cb zenon_H41 zenon_H1f0 zenon_H167 zenon_H148 zenon_H27 zenon_Hb0 zenon_H1e2 zenon_H16c zenon_Hcb zenon_H30 zenon_H18a zenon_H11b zenon_H1aa zenon_Hc4 zenon_H25 zenon_H20 zenon_H1fa.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hb5 ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ].
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.55 apply (zenon_L129_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.55 apply (zenon_L660_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.55 apply (zenon_L673_); trivial.
% 11.40/11.55 apply (zenon_L676_); trivial.
% 11.40/11.55 apply (zenon_L659_); trivial.
% 11.40/11.55 apply (zenon_L334_); trivial.
% 11.40/11.55 (* end of lemma zenon_L678_ *)
% 11.40/11.55 assert (zenon_L679_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e3)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.40/11.55 do 0 intro. intros zenon_H11b zenon_H3c zenon_H152 zenon_H56 zenon_H157 zenon_H11c zenon_H30 zenon_H18a.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.40/11.55 apply (zenon_L136_); trivial.
% 11.40/11.55 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.40/11.56 apply (zenon_L239_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.40/11.56 exact (zenon_H11c zenon_H11f).
% 11.40/11.56 apply (zenon_L245_); trivial.
% 11.40/11.56 (* end of lemma zenon_L679_ *)
% 11.40/11.56 assert (zenon_L680_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H167 zenon_H30 zenon_H11c zenon_H157 zenon_H56 zenon_H3c zenon_H11b zenon_H39 zenon_Hcb zenon_He2 zenon_H18a zenon_H41.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ].
% 11.40/11.56 apply (zenon_L679_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ].
% 11.40/11.56 apply (zenon_L162_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ].
% 11.40/11.56 exact (zenon_He2 zenon_He1).
% 11.40/11.56 apply (zenon_L650_); trivial.
% 11.40/11.56 (* end of lemma zenon_L680_ *)
% 11.40/11.56 assert (zenon_L681_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((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) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H1f0 zenon_H233 zenon_He3 zenon_H18a zenon_H15d zenon_Hc3 zenon_Hf0 zenon_H56 zenon_H1f3 zenon_Hec zenon_H3c zenon_H1e5.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ].
% 11.40/11.56 apply (zenon_L662_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ].
% 11.40/11.56 apply (zenon_L278_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ].
% 11.40/11.56 apply (zenon_L273_); trivial.
% 11.40/11.56 exact (zenon_H1e5 zenon_He7).
% 11.40/11.56 (* end of lemma zenon_L681_ *)
% 11.40/11.56 assert (zenon_L682_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e2)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H1f0 zenon_H30 zenon_H9a zenon_H56 zenon_H1f3 zenon_Hec zenon_H3c zenon_H1e5.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ].
% 11.40/11.56 apply (zenon_L41_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ].
% 11.40/11.56 apply (zenon_L278_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ].
% 11.40/11.56 apply (zenon_L273_); trivial.
% 11.40/11.56 exact (zenon_H1e5 zenon_He7).
% 11.40/11.56 (* end of lemma zenon_L682_ *)
% 11.40/11.56 assert (zenon_L683_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.40/11.56 do 0 intro. intros zenon_Hb0 zenon_H1e5 zenon_H3c zenon_H1f3 zenon_H56 zenon_H30 zenon_H1f0 zenon_H27 zenon_H120 zenon_Hec zenon_H41 zenon_He3 zenon_H18a.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.40/11.56 apply (zenon_L682_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.40/11.56 apply (zenon_L98_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.40/11.56 apply (zenon_L271_); trivial.
% 11.40/11.56 apply (zenon_L188_); trivial.
% 11.40/11.56 (* end of lemma zenon_L683_ *)
% 11.40/11.56 assert (zenon_L684_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e0)) -> False).
% 11.40/11.56 do 0 intro. intros zenon_Hf3 zenon_H3c zenon_H2e zenon_H75 zenon_H10e zenon_He2 zenon_H34 zenon_Hf7.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.40/11.56 apply (zenon_L9_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.40/11.56 apply (zenon_L229_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.40/11.56 exact (zenon_He2 zenon_He1).
% 11.40/11.56 apply (zenon_L89_); trivial.
% 11.40/11.56 (* end of lemma zenon_L684_ *)
% 11.40/11.56 assert (zenon_L685_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e1)) = (e3)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H19c zenon_H145 zenon_H6f zenon_H11c zenon_Hae zenon_Had zenon_He2.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ].
% 11.40/11.56 apply (zenon_L174_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ].
% 11.40/11.56 exact (zenon_H11c zenon_H11f).
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ].
% 11.40/11.56 apply (zenon_L46_); trivial.
% 11.40/11.56 exact (zenon_He2 zenon_He1).
% 11.40/11.56 (* end of lemma zenon_L685_ *)
% 11.40/11.56 assert (zenon_L686_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.40/11.56 do 0 intro. intros zenon_Hb0 zenon_H233 zenon_H3c zenon_H1d9 zenon_H1cb zenon_H41 zenon_H251 zenon_H2c zenon_H222 zenon_He2 zenon_Had zenon_H11c zenon_H6f zenon_H145 zenon_H19c zenon_He3 zenon_H18a.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.40/11.56 apply (zenon_L644_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.40/11.56 apply (zenon_L355_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.40/11.56 apply (zenon_L685_); trivial.
% 11.40/11.56 apply (zenon_L188_); trivial.
% 11.40/11.56 (* end of lemma zenon_L686_ *)
% 11.40/11.56 assert (zenon_L687_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e3)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H22e zenon_Hf7 zenon_H34 zenon_H10e zenon_H75 zenon_Hf3 zenon_H216 zenon_H56 zenon_Hb0 zenon_H233 zenon_H3c zenon_H1cb zenon_H41 zenon_H251 zenon_H2c zenon_H222 zenon_He2 zenon_Had zenon_H11c zenon_H6f zenon_H145 zenon_H19c zenon_He3 zenon_H18a.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.40/11.56 apply (zenon_L684_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.40/11.56 apply (zenon_L304_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.40/11.56 exact (zenon_H11c zenon_H11f).
% 11.40/11.56 apply (zenon_L686_); trivial.
% 11.40/11.56 (* end of lemma zenon_L687_ *)
% 11.40/11.56 assert (zenon_L688_ : ((op (e0) (e2)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e1)) = (e3)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H2e zenon_H122 zenon_Hf0 zenon_H15d zenon_H27 zenon_H19c zenon_H145 zenon_H6f zenon_H11c zenon_Had zenon_He2 zenon_H222 zenon_H2c zenon_H251 zenon_H1cb zenon_H233 zenon_H216 zenon_Hf3 zenon_H75 zenon_H10e zenon_H34 zenon_H22e zenon_Hb0 zenon_H1e5 zenon_H3c zenon_H1f3 zenon_H56 zenon_H30 zenon_H1f0 zenon_H99 zenon_H41 zenon_He3 zenon_H18a.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.40/11.56 apply (zenon_L9_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.40/11.56 apply (zenon_L229_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.40/11.56 exact (zenon_He2 zenon_He1).
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ].
% 11.40/11.56 apply (zenon_L681_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ].
% 11.40/11.56 apply (zenon_L683_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ].
% 11.40/11.56 apply (zenon_L687_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.40/11.56 apply (zenon_L682_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.40/11.56 apply (zenon_L45_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.40/11.56 apply (zenon_L271_); trivial.
% 11.40/11.56 apply (zenon_L188_); trivial.
% 11.40/11.56 (* end of lemma zenon_L688_ *)
% 11.40/11.56 assert (zenon_L689_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H148 zenon_Hcb zenon_H11b zenon_H157 zenon_H30 zenon_H167 zenon_H18a zenon_He3 zenon_H19c zenon_H6f zenon_H11c zenon_Had zenon_He2 zenon_H222 zenon_H2c zenon_H251 zenon_H41 zenon_H1cb zenon_H3c zenon_H233 zenon_Hb0 zenon_H56 zenon_H216 zenon_H1f0 zenon_H1f3 zenon_H101 zenon_H1e5 zenon_H22e zenon_H15e zenon_H16a.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.40/11.56 apply (zenon_L680_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.40/11.56 apply (zenon_L510_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.40/11.56 apply (zenon_L477_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.40/11.56 apply (zenon_L304_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.40/11.56 exact (zenon_H11c zenon_H11f).
% 11.40/11.56 apply (zenon_L686_); trivial.
% 11.40/11.56 apply (zenon_L474_); trivial.
% 11.40/11.56 (* end of lemma zenon_L689_ *)
% 11.40/11.56 assert (zenon_L690_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H11b zenon_H41 zenon_He2 zenon_H147 zenon_H1cb zenon_H3c zenon_H167 zenon_H56 zenon_H157 zenon_H11c zenon_H30 zenon_H18a.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.40/11.56 apply (zenon_L651_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.40/11.56 apply (zenon_L239_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.40/11.56 exact (zenon_H11c zenon_H11f).
% 11.40/11.56 apply (zenon_L245_); trivial.
% 11.40/11.56 (* end of lemma zenon_L690_ *)
% 11.40/11.56 assert (zenon_L691_ : (((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) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H22e zenon_H210 zenon_H47 zenon_He0 zenon_H20 zenon_Hb0 zenon_H233 zenon_H3c zenon_H1cb zenon_H41 zenon_H251 zenon_H2c zenon_H222 zenon_He2 zenon_Had zenon_H11c zenon_H6f zenon_H145 zenon_H19c zenon_He3 zenon_H18a.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.40/11.56 apply (zenon_L522_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.40/11.56 apply (zenon_L92_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.40/11.56 exact (zenon_H11c zenon_H11f).
% 11.40/11.56 apply (zenon_L686_); trivial.
% 11.40/11.56 (* end of lemma zenon_L691_ *)
% 11.40/11.56 assert (zenon_L692_ : (((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)))) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((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) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_Hb7 zenon_H4d zenon_H1ca zenon_H41 zenon_H18a zenon_He2 zenon_H147 zenon_H1cb zenon_H3c zenon_H167 zenon_H22e zenon_H210 zenon_H47 zenon_H216 zenon_H56 zenon_H11c zenon_Hf6.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.56 exact (zenon_H4d zenon_H4f).
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.56 apply (zenon_L459_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.56 apply (zenon_L651_); trivial.
% 11.40/11.56 apply (zenon_L535_); trivial.
% 11.40/11.56 (* end of lemma zenon_L692_ *)
% 11.40/11.56 assert (zenon_L693_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e3)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (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)))) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((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) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H148 zenon_Hcb zenon_H11b zenon_H157 zenon_H30 zenon_He3 zenon_H19c zenon_H6f zenon_Had zenon_H222 zenon_H2c zenon_H251 zenon_H233 zenon_Hb0 zenon_Hf3 zenon_H75 zenon_H10e zenon_H34 zenon_H20 zenon_H3b zenon_Hfb zenon_Hb7 zenon_H4d zenon_H1ca zenon_H41 zenon_H18a zenon_He2 zenon_H1cb zenon_H3c zenon_H167 zenon_H22e zenon_H210 zenon_H47 zenon_H216 zenon_H56 zenon_H11c zenon_Hf6.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.40/11.56 apply (zenon_L680_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.40/11.56 apply (zenon_L510_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.40/11.56 apply (zenon_L59_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.40/11.56 apply (zenon_L691_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.40/11.56 apply (zenon_L174_); trivial.
% 11.40/11.56 apply (zenon_L687_); trivial.
% 11.40/11.56 apply (zenon_L692_); trivial.
% 11.40/11.56 (* end of lemma zenon_L693_ *)
% 11.40/11.56 assert (zenon_L694_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (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 (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H44 zenon_H16a zenon_H22e zenon_H1e5 zenon_H101 zenon_H1f3 zenon_H1f0 zenon_H216 zenon_H56 zenon_Hb0 zenon_H233 zenon_H1cb zenon_H41 zenon_H251 zenon_H2c zenon_H222 zenon_He2 zenon_Had zenon_H11c zenon_H6f zenon_H19c zenon_He3 zenon_H18a zenon_H167 zenon_H30 zenon_H157 zenon_H11b zenon_Hcb zenon_H148 zenon_Hf3 zenon_H10e zenon_H34 zenon_H20 zenon_Hfb zenon_Hb7 zenon_H4d zenon_H1ca zenon_H210 zenon_Hf6 zenon_H161 zenon_H47 zenon_H3c.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.56 apply (zenon_L64_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.56 apply (zenon_L680_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.56 apply (zenon_L64_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.56 apply (zenon_L693_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.56 apply (zenon_L136_); trivial.
% 11.40/11.56 apply (zenon_L689_); trivial.
% 11.40/11.56 apply (zenon_L14_); trivial.
% 11.40/11.56 (* end of lemma zenon_L694_ *)
% 11.40/11.56 assert (zenon_L695_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (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 (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H16e zenon_H18a zenon_H44 zenon_H34 zenon_H25 zenon_He2 zenon_Hcb zenon_H11b zenon_H157 zenon_H30 zenon_H167 zenon_H41 zenon_H3c zenon_H16a zenon_H1e5 zenon_H101 zenon_H1f3 zenon_H1f0 zenon_Hb0 zenon_H233 zenon_H1cb zenon_H251 zenon_H222 zenon_Had zenon_H19c zenon_He3 zenon_H148 zenon_Hf3 zenon_H10e zenon_H20 zenon_Hfb zenon_Hb7 zenon_H4d zenon_H1ca zenon_H161 zenon_H27 zenon_H49 zenon_H22e zenon_H210 zenon_H47 zenon_H216 zenon_H56 zenon_H11c zenon_Hf6.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.56 exact (zenon_H4d zenon_H4f).
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.56 apply (zenon_L459_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.56 apply (zenon_L3_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.56 apply (zenon_L694_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.56 apply (zenon_L7_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.56 apply (zenon_L680_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.56 apply (zenon_L13_); trivial.
% 11.40/11.56 apply (zenon_L14_); trivial.
% 11.40/11.56 apply (zenon_L213_); trivial.
% 11.40/11.56 apply (zenon_L535_); trivial.
% 11.40/11.56 (* end of lemma zenon_L695_ *)
% 11.40/11.56 assert (zenon_L696_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (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) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H4c zenon_H10b zenon_H15d zenon_Hf0 zenon_H122 zenon_H79 zenon_H16e zenon_H18a zenon_H44 zenon_H34 zenon_H25 zenon_He2 zenon_Hcb zenon_H11b zenon_H157 zenon_H30 zenon_H167 zenon_H41 zenon_H3c zenon_H16a zenon_H1e5 zenon_H101 zenon_H1f3 zenon_H1f0 zenon_Hb0 zenon_H233 zenon_H1cb zenon_H251 zenon_H222 zenon_Had zenon_H19c zenon_He3 zenon_H148 zenon_Hf3 zenon_H10e zenon_H20 zenon_Hfb zenon_Hb7 zenon_H4d zenon_H1ca zenon_H161 zenon_H27 zenon_H49 zenon_H22e zenon_H210 zenon_H216 zenon_H56 zenon_H11c zenon_Hf6.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.56 exact (zenon_H4d zenon_H4f).
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.56 apply (zenon_L223_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.56 exact (zenon_H4d zenon_H4f).
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.56 apply (zenon_L459_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.56 apply (zenon_L3_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.56 apply (zenon_L7_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.40/11.56 apply (zenon_L680_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.40/11.56 exact (zenon_H79 zenon_H78).
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ].
% 11.40/11.56 apply (zenon_L688_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ].
% 11.40/11.56 apply (zenon_L278_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ].
% 11.40/11.56 apply (zenon_L686_); trivial.
% 11.40/11.56 exact (zenon_H1e5 zenon_He7).
% 11.40/11.56 apply (zenon_L651_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.56 apply (zenon_L136_); trivial.
% 11.40/11.56 apply (zenon_L689_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.56 apply (zenon_L6_); trivial.
% 11.40/11.56 apply (zenon_L213_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.56 apply (zenon_L3_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.56 apply (zenon_L7_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.40/11.56 apply (zenon_L680_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.40/11.56 exact (zenon_H79 zenon_H78).
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.40/11.56 apply (zenon_L688_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.40/11.56 apply (zenon_L239_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.40/11.56 exact (zenon_H11c zenon_H11f).
% 11.40/11.56 apply (zenon_L245_); trivial.
% 11.40/11.56 apply (zenon_L690_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.56 apply (zenon_L679_); trivial.
% 11.40/11.56 apply (zenon_L477_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.56 apply (zenon_L6_); trivial.
% 11.40/11.56 apply (zenon_L213_); trivial.
% 11.40/11.56 apply (zenon_L695_); trivial.
% 11.40/11.56 (* end of lemma zenon_L696_ *)
% 11.40/11.56 assert (zenon_L697_ : (((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 (e2) (e2)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H19c zenon_H6e zenon_Hc0 zenon_H11c zenon_H18a zenon_H192 zenon_He2.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ].
% 11.40/11.56 apply (zenon_L191_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ].
% 11.40/11.56 exact (zenon_H11c zenon_H11f).
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ].
% 11.40/11.56 apply (zenon_L186_); trivial.
% 11.40/11.56 exact (zenon_He2 zenon_He1).
% 11.40/11.56 (* end of lemma zenon_L697_ *)
% 11.40/11.56 assert (zenon_L698_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e1)) = (e3)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H11b zenon_Hce zenon_H145 zenon_H56 zenon_H157 zenon_H11c zenon_H30 zenon_H18a.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.40/11.56 apply (zenon_L174_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.40/11.56 apply (zenon_L239_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.40/11.56 exact (zenon_H11c zenon_H11f).
% 11.40/11.56 apply (zenon_L245_); trivial.
% 11.40/11.56 (* end of lemma zenon_L698_ *)
% 11.40/11.56 assert (zenon_L699_ : (((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 (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H223 zenon_H1e zenon_H222 zenon_H56 zenon_H1f3 zenon_Hb4 zenon_He5 zenon_H145 zenon_H1cb.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H120 | zenon_intro zenon_H224 ].
% 11.40/11.56 apply (zenon_L472_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He6 | zenon_intro zenon_H225 ].
% 11.40/11.56 apply (zenon_L278_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H147 ].
% 11.40/11.56 apply (zenon_L73_); trivial.
% 11.40/11.56 apply (zenon_L643_); trivial.
% 11.40/11.56 (* end of lemma zenon_L699_ *)
% 11.40/11.56 assert (zenon_L700_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (((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 (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_Hb0 zenon_H1e5 zenon_H3c zenon_H30 zenon_H1f0 zenon_H9d zenon_H99 zenon_Hec zenon_H41 zenon_H223 zenon_H1e zenon_H222 zenon_H56 zenon_H1f3 zenon_He5 zenon_H145 zenon_H1cb.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.40/11.56 apply (zenon_L682_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.40/11.56 apply (zenon_L45_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.40/11.56 apply (zenon_L271_); trivial.
% 11.40/11.56 apply (zenon_L699_); trivial.
% 11.40/11.56 (* end of lemma zenon_L700_ *)
% 11.40/11.56 assert (zenon_L701_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H122 zenon_Hf0 zenon_H15d zenon_H18a zenon_He3 zenon_H233 zenon_H34 zenon_H1cb zenon_H145 zenon_He5 zenon_H222 zenon_H1e zenon_H223 zenon_H41 zenon_H1f0 zenon_H30 zenon_Hb0 zenon_H56 zenon_H1f3 zenon_Hec zenon_H3c zenon_H1e5.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ].
% 11.40/11.56 apply (zenon_L681_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ].
% 11.40/11.56 apply (zenon_L472_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ].
% 11.40/11.56 apply (zenon_L89_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ].
% 11.40/11.56 apply (zenon_L700_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ].
% 11.40/11.56 apply (zenon_L278_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ].
% 11.40/11.56 apply (zenon_L273_); trivial.
% 11.40/11.56 exact (zenon_H1e5 zenon_He7).
% 11.40/11.56 (* end of lemma zenon_L701_ *)
% 11.40/11.56 assert (zenon_L702_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((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 (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H251 zenon_H9a zenon_H1e5 zenon_H3c zenon_H1f3 zenon_H56 zenon_Hb0 zenon_H30 zenon_H1f0 zenon_H41 zenon_H223 zenon_H1e zenon_H222 zenon_He5 zenon_H145 zenon_H1cb zenon_H34 zenon_He3 zenon_H18a zenon_H15d zenon_Hf0 zenon_H122 zenon_H233.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.40/11.56 apply (zenon_L302_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.40/11.56 apply (zenon_L643_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.40/11.56 apply (zenon_L701_); trivial.
% 11.40/11.56 exact (zenon_H233 zenon_Hed).
% 11.40/11.56 (* end of lemma zenon_L702_ *)
% 11.40/11.56 assert (zenon_L703_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_Hf0 zenon_H96 zenon_He3 zenon_H1e5 zenon_Ha4 zenon_He5 zenon_H233.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.40/11.56 apply (zenon_L71_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.40/11.56 exact (zenon_H1e5 zenon_He7).
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.40/11.56 apply (zenon_L73_); trivial.
% 11.40/11.56 exact (zenon_H233 zenon_Hed).
% 11.40/11.56 (* end of lemma zenon_L703_ *)
% 11.40/11.56 assert (zenon_L704_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((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 (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H122 zenon_H15d zenon_H18a zenon_H34 zenon_H41 zenon_H1f0 zenon_H30 zenon_Hb0 zenon_H3c zenon_H251 zenon_H233 zenon_H1e5 zenon_He3 zenon_H96 zenon_Hf0 zenon_He2 zenon_Had zenon_H11c zenon_H6f zenon_H19c zenon_H223 zenon_H1e zenon_H222 zenon_H56 zenon_H1f3 zenon_He5 zenon_H145 zenon_H1cb.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.40/11.56 apply (zenon_L702_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.40/11.56 apply (zenon_L703_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.40/11.56 apply (zenon_L685_); trivial.
% 11.40/11.56 apply (zenon_L699_); trivial.
% 11.40/11.56 (* end of lemma zenon_L704_ *)
% 11.40/11.56 assert (zenon_L705_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (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)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H11b zenon_H1cb zenon_H145 zenon_He5 zenon_H1f3 zenon_H222 zenon_H1e zenon_H223 zenon_H19c zenon_Had zenon_He2 zenon_Hf0 zenon_He3 zenon_H1e5 zenon_H233 zenon_H251 zenon_H3c zenon_Hb0 zenon_H30 zenon_H1f0 zenon_H41 zenon_H34 zenon_H18a zenon_H15d zenon_H122 zenon_H56 zenon_H157 zenon_H11c zenon_H96 zenon_H20.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.40/11.56 apply (zenon_L704_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.40/11.56 apply (zenon_L239_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.40/11.56 exact (zenon_H11c zenon_H11f).
% 11.40/11.56 apply (zenon_L166_); trivial.
% 11.40/11.56 (* end of lemma zenon_L705_ *)
% 11.40/11.56 assert (zenon_L706_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (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)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_Hfa zenon_H192 zenon_Hc0 zenon_Hcb zenon_H11b zenon_H1cb zenon_H145 zenon_He5 zenon_H1f3 zenon_H222 zenon_H1e zenon_H223 zenon_H19c zenon_Had zenon_He2 zenon_Hf0 zenon_He3 zenon_H1e5 zenon_H233 zenon_H251 zenon_H3c zenon_Hb0 zenon_H30 zenon_H1f0 zenon_H41 zenon_H34 zenon_H18a zenon_H15d zenon_H122 zenon_H56 zenon_H157 zenon_H11c zenon_H20.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.40/11.56 apply (zenon_L697_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.40/11.56 apply (zenon_L55_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.40/11.56 apply (zenon_L698_); trivial.
% 11.40/11.56 apply (zenon_L705_); trivial.
% 11.40/11.56 (* end of lemma zenon_L706_ *)
% 11.40/11.56 assert (zenon_L707_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H148 zenon_H79 zenon_H20 zenon_H122 zenon_H15d zenon_H34 zenon_H1f0 zenon_Hb0 zenon_H251 zenon_H233 zenon_H1e5 zenon_He3 zenon_Hf0 zenon_Had zenon_H19c zenon_H223 zenon_H1e zenon_H222 zenon_H1f3 zenon_He5 zenon_Hcb zenon_Hc0 zenon_H192 zenon_Hfa zenon_H11b zenon_H41 zenon_He2 zenon_H1cb zenon_H3c zenon_H167 zenon_H56 zenon_H157 zenon_H11c zenon_H30 zenon_H18a.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.40/11.56 apply (zenon_L8_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.40/11.56 exact (zenon_H79 zenon_H78).
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.40/11.56 apply (zenon_L706_); trivial.
% 11.40/11.56 apply (zenon_L690_); trivial.
% 11.40/11.56 (* end of lemma zenon_L707_ *)
% 11.40/11.56 assert (zenon_L708_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H263 zenon_H1e zenon_Hcb zenon_H56 zenon_H157 zenon_H18b zenon_H18a zenon_H147 zenon_H1cb.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_Hcc | zenon_intro zenon_H264 ].
% 11.40/11.56 apply (zenon_L55_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H265 ].
% 11.40/11.56 apply (zenon_L239_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H145 ].
% 11.40/11.56 apply (zenon_L184_); trivial.
% 11.40/11.56 apply (zenon_L643_); trivial.
% 11.40/11.56 (* end of lemma zenon_L708_ *)
% 11.40/11.56 assert (zenon_L709_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H251 zenon_H1e2 zenon_H33 zenon_H1cb zenon_H18a zenon_H18b zenon_H157 zenon_H56 zenon_Hcb zenon_H1e zenon_H263 zenon_H1d9 zenon_H3c zenon_H233.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.40/11.56 apply (zenon_L478_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.40/11.56 apply (zenon_L708_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.40/11.56 apply (zenon_L273_); trivial.
% 11.40/11.56 exact (zenon_H233 zenon_Hed).
% 11.40/11.56 (* end of lemma zenon_L709_ *)
% 11.40/11.56 assert (zenon_L710_ : (((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) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H22e zenon_H210 zenon_H47 zenon_H216 zenon_H11c zenon_H251 zenon_H1e2 zenon_H33 zenon_H1cb zenon_H18a zenon_H18b zenon_H157 zenon_H56 zenon_Hcb zenon_H1e zenon_H263 zenon_H3c zenon_H233.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.40/11.56 apply (zenon_L522_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.40/11.56 apply (zenon_L304_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.40/11.56 exact (zenon_H11c zenon_H11f).
% 11.40/11.56 apply (zenon_L709_); trivial.
% 11.40/11.56 (* end of lemma zenon_L710_ *)
% 11.40/11.56 assert (zenon_L711_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> (((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)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H44 zenon_H2c zenon_H41 zenon_H18a zenon_He2 zenon_Hcb zenon_H11b zenon_H56 zenon_H157 zenon_H11c zenon_H30 zenon_H167 zenon_H34 zenon_Hd0 zenon_H47 zenon_H3c.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.56 apply (zenon_L64_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.56 apply (zenon_L680_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.56 apply (zenon_L59_); trivial.
% 11.40/11.56 apply (zenon_L14_); trivial.
% 11.40/11.56 (* end of lemma zenon_L711_ *)
% 11.40/11.56 assert (zenon_L712_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_Hf0 zenon_Hc3 zenon_H15d zenon_H47 zenon_H13a zenon_H18a zenon_He3 zenon_H233.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.40/11.56 apply (zenon_L548_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.40/11.56 apply (zenon_L507_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.40/11.56 apply (zenon_L188_); trivial.
% 11.40/11.56 exact (zenon_H233 zenon_Hed).
% 11.40/11.56 (* end of lemma zenon_L712_ *)
% 11.40/11.56 assert (zenon_L713_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H251 zenon_H226 zenon_H152 zenon_H1cb zenon_H18a zenon_H18b zenon_H157 zenon_H56 zenon_Hcb zenon_H1e zenon_H263 zenon_H1d9 zenon_H3c zenon_H233.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.40/11.56 apply (zenon_L438_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.40/11.56 apply (zenon_L708_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.40/11.56 apply (zenon_L273_); trivial.
% 11.40/11.56 exact (zenon_H233 zenon_Hed).
% 11.40/11.56 (* end of lemma zenon_L713_ *)
% 11.40/11.56 assert (zenon_L714_ : ((op (e3) (e1)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H147 zenon_H39 zenon_H222.
% 11.40/11.56 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H239 | zenon_intro zenon_He9 ].
% 11.40/11.56 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e0) (e1)) = (op (e3) (e1)))).
% 11.40/11.56 intro zenon_D_pnotp.
% 11.40/11.56 apply zenon_H222.
% 11.40/11.56 rewrite <- zenon_D_pnotp.
% 11.40/11.56 exact zenon_H239.
% 11.40/11.56 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9].
% 11.40/11.56 cut (((op (e3) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H268].
% 11.40/11.56 congruence.
% 11.40/11.56 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e0) (e1)))).
% 11.40/11.56 intro zenon_D_pnotp.
% 11.40/11.56 apply zenon_H268.
% 11.40/11.56 rewrite <- zenon_D_pnotp.
% 11.40/11.56 exact zenon_H147.
% 11.40/11.56 cut (((e3) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H269].
% 11.40/11.56 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9].
% 11.40/11.56 congruence.
% 11.40/11.56 apply zenon_He9. apply refl_equal.
% 11.40/11.56 apply zenon_H269. apply sym_equal. exact zenon_H39.
% 11.40/11.56 apply zenon_He9. apply refl_equal.
% 11.40/11.56 apply zenon_He9. apply refl_equal.
% 11.40/11.56 (* end of lemma zenon_L714_ *)
% 11.40/11.56 assert (zenon_L715_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H259 zenon_H233 zenon_H3c zenon_H1d9 zenon_H263 zenon_Hcb zenon_H56 zenon_H157 zenon_H18b zenon_H18a zenon_H1cb zenon_H152 zenon_H226 zenon_H251 zenon_H71 zenon_H47 zenon_H6c zenon_H10b zenon_H147 zenon_H222.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H1e | zenon_intro zenon_H25a ].
% 11.40/11.56 apply (zenon_L713_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H1f | zenon_intro zenon_H25b ].
% 11.40/11.56 apply (zenon_L199_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H2c | zenon_intro zenon_H39 ].
% 11.40/11.56 apply (zenon_L353_); trivial.
% 11.40/11.56 apply (zenon_L714_); trivial.
% 11.40/11.56 (* end of lemma zenon_L715_ *)
% 11.40/11.56 assert (zenon_L716_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H167 zenon_H222 zenon_H10b zenon_H6c zenon_H47 zenon_H71 zenon_H251 zenon_H226 zenon_H18b zenon_H157 zenon_H56 zenon_Hcb zenon_H263 zenon_H1d9 zenon_H3c zenon_H233 zenon_H259 zenon_H1cb zenon_H147 zenon_He2 zenon_H18a zenon_H41.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ].
% 11.40/11.56 apply (zenon_L715_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ].
% 11.40/11.56 apply (zenon_L643_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ].
% 11.40/11.56 exact (zenon_He2 zenon_He1).
% 11.40/11.56 apply (zenon_L650_); trivial.
% 11.40/11.56 (* end of lemma zenon_L716_ *)
% 11.40/11.56 assert (zenon_L717_ : (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H41 zenon_H18a zenon_He2 zenon_H1cb zenon_H259 zenon_H1d9 zenon_H263 zenon_Hcb zenon_H157 zenon_H18b zenon_H226 zenon_H251 zenon_H71 zenon_H47 zenon_H6c zenon_H10b zenon_H222 zenon_H167 zenon_H1e5 zenon_H3c zenon_H1f3 zenon_H56 zenon_H9a zenon_H30 zenon_H1f0 zenon_H233.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.40/11.56 apply (zenon_L302_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.40/11.56 apply (zenon_L716_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.40/11.56 apply (zenon_L682_); trivial.
% 11.40/11.56 exact (zenon_H233 zenon_Hed).
% 11.40/11.56 (* end of lemma zenon_L717_ *)
% 11.40/11.56 assert (zenon_L718_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.40/11.56 do 0 intro. intros zenon_Hb0 zenon_H233 zenon_H1f0 zenon_H30 zenon_H56 zenon_H1f3 zenon_H3c zenon_H1e5 zenon_H167 zenon_H222 zenon_H10b zenon_H6c zenon_H47 zenon_H71 zenon_H251 zenon_H226 zenon_H18b zenon_H157 zenon_Hcb zenon_H263 zenon_H1d9 zenon_H259 zenon_H1cb zenon_H41 zenon_H27 zenon_H120 zenon_He2 zenon_Had zenon_H11c zenon_H6f zenon_H145 zenon_H19c zenon_He3 zenon_H18a.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.40/11.56 apply (zenon_L717_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.40/11.56 apply (zenon_L98_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.40/11.56 apply (zenon_L685_); trivial.
% 11.40/11.56 apply (zenon_L188_); trivial.
% 11.40/11.56 (* end of lemma zenon_L718_ *)
% 11.40/11.56 assert (zenon_L719_ : (((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) (e1)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H1df zenon_H15d zenon_H9d zenon_Ha4 zenon_H147 zenon_H16a.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ].
% 11.40/11.56 apply (zenon_L548_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ].
% 11.40/11.56 apply (zenon_L45_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ].
% 11.40/11.56 apply (zenon_L268_); trivial.
% 11.40/11.56 apply (zenon_L474_); trivial.
% 11.40/11.56 (* end of lemma zenon_L719_ *)
% 11.40/11.56 assert (zenon_L720_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e2)) -> ((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 (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H251 zenon_H1e2 zenon_H33 zenon_H16a zenon_Ha4 zenon_H9d zenon_H15d zenon_H1df zenon_H125 zenon_H89 zenon_H233.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.40/11.56 apply (zenon_L478_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.40/11.56 apply (zenon_L719_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.40/11.56 apply (zenon_L101_); trivial.
% 11.40/11.56 exact (zenon_H233 zenon_Hed).
% 11.40/11.56 (* end of lemma zenon_L720_ *)
% 11.40/11.56 assert (zenon_L721_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (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) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H22e zenon_H20 zenon_H216 zenon_H122 zenon_H13a zenon_Hf0 zenon_H27 zenon_Hd0 zenon_H101 zenon_Hb0 zenon_H1f0 zenon_H30 zenon_H56 zenon_H1f3 zenon_H3c zenon_H1e5 zenon_H167 zenon_H222 zenon_H10b zenon_H6c zenon_H47 zenon_H71 zenon_H226 zenon_H18b zenon_H157 zenon_Hcb zenon_H263 zenon_H259 zenon_H1cb zenon_H41 zenon_H233 zenon_H89 zenon_H125 zenon_H1df zenon_H15d zenon_H16a zenon_H33 zenon_H1e2 zenon_H251 zenon_He2 zenon_Had zenon_H11c zenon_H6f zenon_H145 zenon_H19c zenon_He3 zenon_H18a.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.40/11.56 apply (zenon_L61_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.40/11.56 apply (zenon_L304_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.40/11.56 exact (zenon_H11c zenon_H11f).
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ].
% 11.40/11.56 apply (zenon_L712_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ].
% 11.40/11.56 apply (zenon_L718_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ].
% 11.40/11.56 apply (zenon_L416_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.40/11.56 apply (zenon_L717_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.40/11.56 apply (zenon_L720_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.40/11.56 apply (zenon_L685_); trivial.
% 11.40/11.56 apply (zenon_L188_); trivial.
% 11.40/11.56 (* end of lemma zenon_L721_ *)
% 11.40/11.56 assert (zenon_L722_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((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 (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (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) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H106 zenon_H44 zenon_H30 zenon_H157 zenon_H167 zenon_H1cb zenon_H41 zenon_H11b zenon_H210 zenon_H19c zenon_H6f zenon_Had zenon_H259 zenon_H263 zenon_Hcb zenon_H18b zenon_H226 zenon_H71 zenon_H10b zenon_H222 zenon_H1e5 zenon_H1f3 zenon_H1f0 zenon_Hb0 zenon_H148 zenon_Hcc zenon_H22e zenon_H20 zenon_H216 zenon_H56 zenon_H11c zenon_Hf3 zenon_H34 zenon_H233 zenon_H125 zenon_H1df zenon_H15d zenon_H16a zenon_H33 zenon_H1e2 zenon_H251 zenon_H101 zenon_Hd0 zenon_H27 zenon_Hf0 zenon_H47 zenon_H13a zenon_H18a zenon_He3 zenon_H122 zenon_He2 zenon_H3c.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.40/11.56 apply (zenon_L711_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.40/11.56 apply (zenon_L680_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.40/11.56 apply (zenon_L510_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.40/11.56 apply (zenon_L522_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.40/11.56 apply (zenon_L304_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.40/11.56 exact (zenon_H11c zenon_H11f).
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.40/11.56 apply (zenon_L59_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.40/11.56 apply (zenon_L721_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.40/11.56 exact (zenon_He2 zenon_He1).
% 11.40/11.56 apply (zenon_L273_); trivial.
% 11.40/11.56 apply (zenon_L690_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.40/11.56 apply (zenon_L164_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.40/11.56 apply (zenon_L61_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.40/11.56 apply (zenon_L304_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.40/11.56 exact (zenon_H11c zenon_H11f).
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.40/11.56 apply (zenon_L59_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ].
% 11.40/11.56 apply (zenon_L712_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ].
% 11.40/11.56 apply (zenon_L98_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ].
% 11.40/11.56 apply (zenon_L416_); trivial.
% 11.40/11.56 apply (zenon_L720_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.40/11.56 exact (zenon_He2 zenon_He1).
% 11.40/11.56 apply (zenon_L273_); trivial.
% 11.40/11.56 (* end of lemma zenon_L722_ *)
% 11.40/11.56 assert (zenon_L723_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e3)) = (e1)) -> (~((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 (e3) (e1)) = (e0)) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H148 zenon_Hcb zenon_H11b zenon_H157 zenon_H30 zenon_H167 zenon_H18a zenon_He3 zenon_H19c zenon_H6f zenon_H11c zenon_Had zenon_He2 zenon_H27 zenon_H251 zenon_H41 zenon_H1cb zenon_H3c zenon_H233 zenon_Hb0 zenon_H56 zenon_H216 zenon_H47 zenon_H210 zenon_H22e zenon_H34 zenon_H120.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.40/11.56 apply (zenon_L680_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.40/11.56 apply (zenon_L510_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.40/11.56 apply (zenon_L522_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.40/11.56 apply (zenon_L304_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.40/11.56 exact (zenon_H11c zenon_H11f).
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.40/11.56 apply (zenon_L644_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.40/11.56 apply (zenon_L98_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.40/11.56 apply (zenon_L685_); trivial.
% 11.40/11.56 apply (zenon_L188_); trivial.
% 11.40/11.56 apply (zenon_L670_); trivial.
% 11.40/11.56 (* end of lemma zenon_L723_ *)
% 11.40/11.56 assert (zenon_L724_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H4c zenon_H4d zenon_H10b zenon_H56 zenon_H20 zenon_Hd0 zenon_Hf0 zenon_Hc3 zenon_H15d zenon_H13a zenon_H18a zenon_He3 zenon_H233.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.56 exact (zenon_H4d zenon_H4f).
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.56 apply (zenon_L223_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.56 apply (zenon_L61_); trivial.
% 11.40/11.56 apply (zenon_L712_); trivial.
% 11.40/11.56 (* end of lemma zenon_L724_ *)
% 11.40/11.56 assert (zenon_L725_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (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))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((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 (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (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) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((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)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H12d zenon_H1b8 zenon_Hf6 zenon_H216 zenon_H210 zenon_H22e zenon_Hb0 zenon_H1cb zenon_H251 zenon_H27 zenon_Had zenon_H19c zenon_H148 zenon_H106 zenon_H44 zenon_H259 zenon_H263 zenon_H18b zenon_H226 zenon_H71 zenon_H222 zenon_H1e5 zenon_H1f3 zenon_H1f0 zenon_Hf3 zenon_H125 zenon_H1df zenon_H16a zenon_H1e2 zenon_H101 zenon_H122 zenon_H1ca zenon_H203 zenon_H41 zenon_He2 zenon_Hcb zenon_H30 zenon_H167 zenon_H34 zenon_H3c zenon_Hb7 zenon_H16e zenon_H11c zenon_H157 zenon_H11b zenon_H4c zenon_H4d zenon_H10b zenon_H56 zenon_H20 zenon_Hd0 zenon_Hf0 zenon_H15d zenon_H13a zenon_H18a zenon_He3 zenon_H233.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.40/11.56 apply (zenon_L221_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.56 exact (zenon_H4d zenon_H4f).
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.56 apply (zenon_L223_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.56 apply (zenon_L61_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.56 exact (zenon_H4d zenon_H4f).
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.56 apply (zenon_L459_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.40/11.56 apply (zenon_L710_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.40/11.56 apply (zenon_L232_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.40/11.56 apply (zenon_L722_); trivial.
% 11.40/11.56 apply (zenon_L723_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.56 apply (zenon_L680_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.56 apply (zenon_L59_); trivial.
% 11.40/11.56 apply (zenon_L14_); trivial.
% 11.40/11.56 apply (zenon_L535_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.40/11.56 apply (zenon_L488_); trivial.
% 11.40/11.56 apply (zenon_L724_); trivial.
% 11.40/11.56 (* end of lemma zenon_L725_ *)
% 11.40/11.56 assert (zenon_L726_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((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)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H4c zenon_H4d zenon_H10b zenon_H34 zenon_H3c zenon_H167 zenon_H30 zenon_H11c zenon_H157 zenon_H56 zenon_H11b zenon_Hcb zenon_He2 zenon_H18a zenon_H41 zenon_H38 zenon_H44 zenon_H72 zenon_H20.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.56 exact (zenon_H4d zenon_H4f).
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.56 apply (zenon_L223_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.56 exact (zenon_H38 zenon_H33).
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.56 apply (zenon_L680_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.56 apply (zenon_L9_); trivial.
% 11.40/11.56 apply (zenon_L379_); trivial.
% 11.40/11.56 apply (zenon_L182_); trivial.
% 11.40/11.56 (* end of lemma zenon_L726_ *)
% 11.40/11.56 assert (zenon_L727_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H148 zenon_H20 zenon_H122 zenon_H15d zenon_H34 zenon_H1f0 zenon_Hb0 zenon_H251 zenon_H233 zenon_H1e5 zenon_He3 zenon_Hf0 zenon_Had zenon_H19c zenon_H223 zenon_H1e zenon_H222 zenon_H1f3 zenon_He5 zenon_Hcb zenon_Hc0 zenon_H192 zenon_Hfa zenon_H11b zenon_H41 zenon_He2 zenon_H1cb zenon_H3c zenon_H167 zenon_H56 zenon_H157 zenon_H11c zenon_H30 zenon_H18a.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.40/11.56 apply (zenon_L8_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.40/11.56 apply (zenon_L510_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.40/11.56 apply (zenon_L706_); trivial.
% 11.40/11.56 apply (zenon_L690_); trivial.
% 11.40/11.56 (* end of lemma zenon_L727_ *)
% 11.40/11.56 assert (zenon_L728_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (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) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H1ff zenon_H18b zenon_H148 zenon_H167 zenon_H19c zenon_He2 zenon_H18a zenon_H192 zenon_Hc0 zenon_Hcb zenon_H11b zenon_H30 zenon_H157 zenon_H20 zenon_H251 zenon_H1f0 zenon_H1f3 zenon_H15d zenon_He3 zenon_H233 zenon_Hf0 zenon_H222 zenon_H223 zenon_He5 zenon_Hb0 zenon_H122 zenon_H1cb zenon_H41 zenon_Had zenon_Hfa zenon_H56 zenon_H3c zenon_H1e zenon_H34 zenon_H1fe.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ].
% 11.40/11.56 apply (zenon_L727_); trivial.
% 11.40/11.56 apply (zenon_L690_); trivial.
% 11.40/11.56 apply (zenon_L184_); trivial.
% 11.40/11.56 (* end of lemma zenon_L728_ *)
% 11.40/11.56 assert (zenon_L729_ : (((op (e2) (e2)) = (e2))/\(((~((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 (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H132 zenon_H192 zenon_H18a.
% 11.40/11.56 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133.
% 11.40/11.56 apply (zenon_L186_); trivial.
% 11.40/11.56 (* end of lemma zenon_L729_ *)
% 11.40/11.56 assert (zenon_L730_ : ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (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) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((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))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((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 (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.56 do 0 intro. intros zenon_H1b0 zenon_H236 zenon_H65 zenon_Hc4 zenon_H1aa zenon_H16c zenon_H95 zenon_H242 zenon_H92 zenon_Hb9 zenon_H18f zenon_H38 zenon_H1b8 zenon_H1e2 zenon_H263 zenon_H18b zenon_H106 zenon_H13a zenon_H226 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H203 zenon_H12d zenon_Hfa zenon_He5 zenon_H223 zenon_Hc0 zenon_H10b zenon_Hb7 zenon_H27 zenon_H161 zenon_H101 zenon_H16a zenon_H167 zenon_H41 zenon_He2 zenon_Hcb zenon_H3c zenon_H157 zenon_H30 zenon_H11b zenon_H79 zenon_H10e zenon_H122 zenon_Hf3 zenon_H216 zenon_Had zenon_H19c zenon_H222 zenon_H1cb zenon_H251 zenon_H22e zenon_Hb0 zenon_Hf0 zenon_He3 zenon_H15d zenon_H1f3 zenon_H1f0 zenon_H148 zenon_H34 zenon_H16e zenon_H49 zenon_H1ca zenon_H44 zenon_Hf6 zenon_H20 zenon_H210 zenon_Hfb zenon_H4c zenon_H18a zenon_H192 zenon_H233.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.40/11.56 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52.
% 11.40/11.56 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6.
% 11.40/11.56 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8.
% 11.40/11.56 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H207 | zenon_intro zenon_H6d ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hb5 ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ].
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.56 apply (zenon_L129_); trivial.
% 11.40/11.56 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.57 apply (zenon_L129_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.57 apply (zenon_L660_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.57 apply (zenon_L641_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.57 apply (zenon_L3_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.57 apply (zenon_L211_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.57 exact (zenon_H38 zenon_H33).
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.57 apply (zenon_L130_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.57 apply (zenon_L13_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.57 exact (zenon_H38 zenon_H33).
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.40/11.57 apply (zenon_L2_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.40/11.57 exact (zenon_H207 zenon_H10c).
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.40/11.57 apply (zenon_L123_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.40/11.57 apply (zenon_L223_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.40/11.57 apply (zenon_L661_); trivial.
% 11.40/11.57 apply (zenon_L669_); trivial.
% 11.40/11.57 apply (zenon_L671_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.57 apply (zenon_L672_); trivial.
% 11.40/11.57 apply (zenon_L196_); trivial.
% 11.40/11.57 apply (zenon_L213_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.57 apply (zenon_L673_); trivial.
% 11.40/11.57 apply (zenon_L676_); trivial.
% 11.40/11.57 apply (zenon_L677_); trivial.
% 11.40/11.57 apply (zenon_L334_); trivial.
% 11.40/11.57 apply (zenon_L678_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.40/11.57 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 11.40/11.57 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf.
% 11.40/11.57 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc.
% 11.40/11.57 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H4d | zenon_intro zenon_H1e ].
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ].
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ].
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.40/11.57 apply (zenon_L696_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.40/11.57 apply (zenon_L707_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.40/11.57 apply (zenon_L725_); trivial.
% 11.40/11.57 apply (zenon_L726_); trivial.
% 11.40/11.57 apply (zenon_L690_); trivial.
% 11.40/11.57 apply (zenon_L184_); trivial.
% 11.40/11.57 apply (zenon_L728_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.40/11.57 apply (zenon_L729_); trivial.
% 11.40/11.57 apply (zenon_L456_); trivial.
% 11.40/11.57 (* end of lemma zenon_L730_ *)
% 11.40/11.57 assert (zenon_L731_ : (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((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 (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.40/11.57 do 0 intro. intros zenon_H141 zenon_H62 zenon_H194 zenon_H90 zenon_H117 zenon_H233 zenon_H192 zenon_H4c zenon_Hfb zenon_H210 zenon_H20 zenon_Hf6 zenon_H44 zenon_H1ca zenon_H49 zenon_H34 zenon_H148 zenon_H1f0 zenon_H1f3 zenon_H15d zenon_He3 zenon_Hf0 zenon_Hb0 zenon_H22e zenon_H251 zenon_H1cb zenon_H222 zenon_H19c zenon_Had zenon_H216 zenon_Hf3 zenon_H122 zenon_H10e zenon_H79 zenon_H11b zenon_H30 zenon_H157 zenon_H3c zenon_Hcb zenon_He2 zenon_H41 zenon_H167 zenon_H16a zenon_H101 zenon_H161 zenon_H27 zenon_Hb7 zenon_H10b zenon_Hc0 zenon_H223 zenon_He5 zenon_Hfa zenon_H12d zenon_H203 zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H226 zenon_H13a zenon_H106 zenon_H18b zenon_H263 zenon_H1e2 zenon_H1b8 zenon_H38 zenon_H18f zenon_Hb9 zenon_H92 zenon_H242 zenon_H95 zenon_H16c zenon_H1aa zenon_Hc4 zenon_H65 zenon_H236 zenon_H1b0 zenon_H16e zenon_H40.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.40/11.57 apply (zenon_L379_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.40/11.57 apply (zenon_L103_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.40/11.57 apply (zenon_L638_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H96 | zenon_intro zenon_H195 ].
% 11.40/11.57 apply (zenon_L71_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H118 | zenon_intro zenon_H196 ].
% 11.40/11.57 apply (zenon_L96_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18a | zenon_intro zenon_H164 ].
% 11.40/11.57 apply (zenon_L730_); trivial.
% 11.40/11.57 apply (zenon_L667_); trivial.
% 11.40/11.57 (* end of lemma zenon_L731_ *)
% 11.40/11.57 assert (zenon_L732_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (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) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((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))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((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 (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (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 (e1) (e0)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.40/11.57 do 0 intro. intros zenon_H113 zenon_H25 zenon_H187 zenon_H207 zenon_H40 zenon_H16e zenon_H1b0 zenon_H236 zenon_H65 zenon_Hc4 zenon_H1aa zenon_H16c zenon_H95 zenon_H242 zenon_H92 zenon_Hb9 zenon_H18f zenon_H38 zenon_H1b8 zenon_H1e2 zenon_H263 zenon_H18b zenon_H106 zenon_H13a zenon_H226 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H203 zenon_H12d zenon_Hfa zenon_He5 zenon_H223 zenon_Hc0 zenon_H10b zenon_Hb7 zenon_H27 zenon_H161 zenon_H101 zenon_H16a zenon_H167 zenon_H41 zenon_He2 zenon_Hcb zenon_H3c zenon_H157 zenon_H30 zenon_H11b zenon_H79 zenon_H10e zenon_H122 zenon_Hf3 zenon_H216 zenon_Had zenon_H19c zenon_H222 zenon_H1cb zenon_H251 zenon_H22e zenon_Hb0 zenon_Hf0 zenon_He3 zenon_H15d zenon_H1f3 zenon_H1f0 zenon_H148 zenon_H34 zenon_H49 zenon_H1ca zenon_H44 zenon_Hf6 zenon_H210 zenon_Hfb zenon_H4c zenon_H192 zenon_H233 zenon_H117 zenon_H194 zenon_H141 zenon_H75 zenon_H8d zenon_H61 zenon_H69 zenon_H90 zenon_H20.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.40/11.57 apply (zenon_L298_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.40/11.57 exact (zenon_H207 zenon_H10c).
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.40/11.57 apply (zenon_L635_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.40/11.57 apply (zenon_L346_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.40/11.57 apply (zenon_L347_); trivial.
% 11.40/11.57 apply (zenon_L731_); trivial.
% 11.40/11.57 apply (zenon_L38_); trivial.
% 11.40/11.57 (* end of lemma zenon_L732_ *)
% 11.40/11.57 assert (zenon_L733_ : (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (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 (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((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) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 11.40/11.57 do 0 intro. intros zenon_H20 zenon_H90 zenon_H69 zenon_H61 zenon_H8d zenon_H141 zenon_H194 zenon_H117 zenon_H233 zenon_H192 zenon_H4c zenon_Hfb zenon_H210 zenon_Hf6 zenon_H44 zenon_H1ca zenon_H49 zenon_H34 zenon_H148 zenon_H1f0 zenon_H1f3 zenon_H15d zenon_He3 zenon_Hf0 zenon_Hb0 zenon_H22e zenon_H251 zenon_H1cb zenon_H222 zenon_H19c zenon_Had zenon_H216 zenon_Hf3 zenon_H122 zenon_H10e zenon_H79 zenon_H11b zenon_H30 zenon_H157 zenon_Hcb zenon_He2 zenon_H167 zenon_H16a zenon_H101 zenon_H161 zenon_H27 zenon_Hb7 zenon_H10b zenon_Hc0 zenon_H223 zenon_He5 zenon_Hfa zenon_H12d zenon_H203 zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H226 zenon_H13a zenon_H106 zenon_H18b zenon_H263 zenon_H1e2 zenon_H1b8 zenon_H38 zenon_H18f zenon_Hb9 zenon_H92 zenon_H242 zenon_H95 zenon_H16c zenon_H1aa zenon_Hc4 zenon_H65 zenon_H236 zenon_H1b0 zenon_H16e zenon_H40 zenon_H207 zenon_H187 zenon_H25 zenon_H113 zenon_H3c zenon_H6f zenon_H41 zenon_H9a.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.57 exact (zenon_H38 zenon_H33).
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.57 apply (zenon_L732_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.57 apply (zenon_L136_); trivial.
% 11.40/11.57 apply (zenon_L302_); trivial.
% 11.40/11.57 (* end of lemma zenon_L733_ *)
% 11.40/11.57 assert (zenon_L734_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 11.40/11.57 do 0 intro. intros zenon_H69 zenon_H41 zenon_H75 zenon_H27 zenon_He0 zenon_H61 zenon_H3f.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.40/11.57 apply (zenon_L31_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.40/11.57 apply (zenon_L346_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.40/11.57 apply (zenon_L347_); trivial.
% 11.40/11.57 apply (zenon_L22_); trivial.
% 11.40/11.57 (* end of lemma zenon_L734_ *)
% 11.40/11.57 assert (zenon_L735_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.57 do 0 intro. intros zenon_Hf0 zenon_H96 zenon_He3 zenon_H90 zenon_H141 zenon_H3f zenon_H13a zenon_H233.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.40/11.57 apply (zenon_L71_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.40/11.57 apply (zenon_L248_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.40/11.57 apply (zenon_L420_); trivial.
% 11.40/11.57 exact (zenon_H233 zenon_Hed).
% 11.40/11.57 (* end of lemma zenon_L735_ *)
% 11.40/11.57 assert (zenon_L736_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.40/11.57 do 0 intro. intros zenon_Hb9 zenon_H27 zenon_H34 zenon_H8b zenon_H233 zenon_H13a zenon_H3f zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H9e.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.40/11.57 apply (zenon_L180_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.40/11.57 apply (zenon_L36_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.40/11.57 apply (zenon_L735_); trivial.
% 11.40/11.57 exact (zenon_H9e zenon_H9d).
% 11.40/11.57 (* end of lemma zenon_L736_ *)
% 11.40/11.57 assert (zenon_L737_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.40/11.57 do 0 intro. intros zenon_H44 zenon_H38 zenon_H3c zenon_H1f zenon_H20 zenon_H90 zenon_H8d zenon_H61 zenon_H69 zenon_H79 zenon_H13f zenon_Hb9 zenon_H27 zenon_H34 zenon_H233 zenon_H13a zenon_H141 zenon_He3 zenon_Hf0 zenon_H9e zenon_H207 zenon_H187 zenon_H25 zenon_H113 zenon_H3f zenon_H41.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.57 exact (zenon_H38 zenon_H33).
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.57 apply (zenon_L130_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.40/11.57 apply (zenon_L298_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.40/11.57 exact (zenon_H207 zenon_H10c).
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.40/11.57 apply (zenon_L734_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.40/11.57 exact (zenon_H79 zenon_H78).
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.40/11.57 apply (zenon_L119_); trivial.
% 11.40/11.57 apply (zenon_L736_); trivial.
% 11.40/11.57 apply (zenon_L38_); trivial.
% 11.40/11.57 apply (zenon_L11_); trivial.
% 11.40/11.57 (* end of lemma zenon_L737_ *)
% 11.40/11.57 assert (zenon_L738_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.57 do 0 intro. intros zenon_Hf0 zenon_H99 zenon_H15d zenon_Ha4 zenon_He5 zenon_H233.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.40/11.57 apply (zenon_L45_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.40/11.57 apply (zenon_L262_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.40/11.57 apply (zenon_L73_); trivial.
% 11.40/11.57 exact (zenon_H233 zenon_Hed).
% 11.40/11.57 (* end of lemma zenon_L738_ *)
% 11.40/11.57 assert (zenon_L739_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 11.40/11.57 do 0 intro. intros zenon_Hb7 zenon_H20 zenon_H25 zenon_H23c zenon_H90 zenon_Hb5 zenon_H30 zenon_H3c zenon_H15e.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.57 apply (zenon_L129_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.57 apply (zenon_L519_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.57 apply (zenon_L108_); trivial.
% 11.40/11.57 apply (zenon_L196_); trivial.
% 11.40/11.57 (* end of lemma zenon_L739_ *)
% 11.40/11.57 assert (zenon_L740_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> False).
% 11.40/11.57 do 0 intro. intros zenon_H161 zenon_H38 zenon_H106 zenon_H1f zenon_Hc4 zenon_Hf0 zenon_H15d zenon_He5 zenon_H233 zenon_H207 zenon_H34 zenon_H113 zenon_H41 zenon_Hb7 zenon_H20 zenon_H25 zenon_H23c zenon_H90 zenon_Hb5 zenon_H30 zenon_H3c.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.57 apply (zenon_L129_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.57 apply (zenon_L519_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.57 apply (zenon_L108_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.57 exact (zenon_H38 zenon_H33).
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.40/11.57 apply (zenon_L118_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.40/11.57 exact (zenon_H207 zenon_H10c).
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.40/11.57 apply (zenon_L211_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.40/11.57 apply (zenon_L346_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.40/11.57 apply (zenon_L532_); trivial.
% 11.40/11.57 apply (zenon_L738_); trivial.
% 11.40/11.57 apply (zenon_L38_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.57 apply (zenon_L233_); trivial.
% 11.40/11.57 apply (zenon_L739_); trivial.
% 11.40/11.57 (* end of lemma zenon_L740_ *)
% 11.40/11.57 assert (zenon_L741_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> False).
% 11.40/11.57 do 0 intro. intros zenon_H49 zenon_H30 zenon_H99 zenon_H161 zenon_H106 zenon_Hc4 zenon_H15d zenon_He5 zenon_Hb7 zenon_H23c zenon_Hb8 zenon_H44 zenon_H38 zenon_H3c zenon_H1f zenon_H20 zenon_H90 zenon_H8d zenon_H61 zenon_H69 zenon_H79 zenon_H13f zenon_Hb9 zenon_H27 zenon_H34 zenon_H233 zenon_H13a zenon_H141 zenon_He3 zenon_Hf0 zenon_H9e zenon_H207 zenon_H187 zenon_H25 zenon_H113 zenon_H41.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.57 apply (zenon_L3_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.57 apply (zenon_L211_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.57 apply (zenon_L3_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.57 apply (zenon_L637_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.57 apply (zenon_L740_); trivial.
% 11.40/11.57 apply (zenon_L41_); trivial.
% 11.40/11.57 apply (zenon_L737_); trivial.
% 11.40/11.57 (* end of lemma zenon_L741_ *)
% 11.40/11.57 assert (zenon_L742_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.40/11.57 do 0 intro. intros zenon_H44 zenon_H2c zenon_H3c zenon_H2e zenon_H113 zenon_H25 zenon_H187 zenon_H207 zenon_H61 zenon_H34 zenon_H79 zenon_H58 zenon_H41 zenon_H8d zenon_H90 zenon_H20.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.57 apply (zenon_L7_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.57 apply (zenon_L65_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.57 apply (zenon_L9_); trivial.
% 11.40/11.57 apply (zenon_L636_); trivial.
% 11.40/11.57 (* end of lemma zenon_L742_ *)
% 11.40/11.57 assert (zenon_L743_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 11.40/11.57 do 0 intro. intros zenon_H167 zenon_H41 zenon_Hb5 zenon_H39 zenon_Hcb zenon_He2 zenon_H117 zenon_H8b.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ].
% 11.40/11.57 apply (zenon_L233_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ].
% 11.40/11.57 apply (zenon_L162_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ].
% 11.40/11.57 exact (zenon_He2 zenon_He1).
% 11.40/11.57 apply (zenon_L483_); trivial.
% 11.40/11.57 (* end of lemma zenon_L743_ *)
% 11.40/11.57 assert (zenon_L744_ : (((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)))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 11.40/11.57 do 0 intro. intros zenon_H167 zenon_H226 zenon_H15e zenon_H39 zenon_Hcb zenon_H41 zenon_H5a zenon_H117 zenon_H8b.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ].
% 11.40/11.57 apply (zenon_L438_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ].
% 11.40/11.57 apply (zenon_L162_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ].
% 11.40/11.57 apply (zenon_L70_); trivial.
% 11.40/11.57 apply (zenon_L483_); trivial.
% 11.40/11.57 (* end of lemma zenon_L744_ *)
% 11.40/11.57 assert (zenon_L745_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (((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 (e3) (e0)))) -> (((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 (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 11.40/11.57 do 0 intro. intros zenon_H1a2 zenon_Hcc zenon_H27 zenon_H8b zenon_H117 zenon_H41 zenon_Hcb zenon_H39 zenon_H167 zenon_Hb7 zenon_H20 zenon_H242 zenon_H95 zenon_H226 zenon_Hfa zenon_H25 zenon_H1aa zenon_H16c zenon_Hc4 zenon_H11b zenon_He2 zenon_H192 zenon_Hc0 zenon_Hcf zenon_H19c zenon_H3c zenon_H15e.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ].
% 11.40/11.57 apply (zenon_L743_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ].
% 11.40/11.57 apply (zenon_L164_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ].
% 11.40/11.57 apply (zenon_L744_); trivial.
% 11.40/11.57 apply (zenon_L677_); trivial.
% 11.40/11.57 (* end of lemma zenon_L745_ *)
% 11.40/11.57 assert (zenon_L746_ : (((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) (e0)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 11.40/11.57 do 0 intro. intros zenon_H167 zenon_H226 zenon_H15e zenon_H39 zenon_Hcb zenon_H6f zenon_H96 zenon_H117 zenon_H8b.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ].
% 11.40/11.57 apply (zenon_L438_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ].
% 11.40/11.57 apply (zenon_L162_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ].
% 11.40/11.57 apply (zenon_L482_); trivial.
% 11.40/11.57 apply (zenon_L483_); trivial.
% 11.40/11.57 (* end of lemma zenon_L746_ *)
% 11.40/11.57 assert (zenon_L747_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.57 do 0 intro. intros zenon_Hfa zenon_H20 zenon_H6f zenon_Hc7 zenon_H27 zenon_Hcf zenon_Hf0 zenon_He3 zenon_H90 zenon_H141 zenon_H3f zenon_H13a zenon_H233.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.40/11.57 apply (zenon_L29_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.40/11.57 apply (zenon_L164_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.40/11.57 exact (zenon_Hcf zenon_Hce).
% 11.40/11.57 apply (zenon_L735_); trivial.
% 11.40/11.57 (* end of lemma zenon_L747_ *)
% 11.40/11.57 assert (zenon_L748_ : (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e1) (e0)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((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 (e2) (e0)) = (op (e2) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (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) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.40/11.57 do 0 intro. intros zenon_H20 zenon_H90 zenon_H203 zenon_H1e2 zenon_H44 zenon_H207 zenon_H58 zenon_H106 zenon_H117 zenon_Hcb zenon_H15e zenon_H226 zenon_H167 zenon_H1a2 zenon_Hb7 zenon_H242 zenon_H95 zenon_H25 zenon_H1aa zenon_H16c zenon_Hc4 zenon_H11b zenon_He2 zenon_H192 zenon_Hc0 zenon_H19c zenon_H34 zenon_H79 zenon_H8d zenon_H233 zenon_H13a zenon_H141 zenon_He3 zenon_Hf0 zenon_Hcf zenon_H6f zenon_Hfa zenon_H27 zenon_H187 zenon_H113 zenon_H3c zenon_H2e zenon_H3f zenon_H41.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.57 apply (zenon_L478_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.40/11.57 apply (zenon_L298_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.40/11.57 exact (zenon_H207 zenon_H10c).
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.40/11.57 apply (zenon_L494_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.40/11.57 exact (zenon_H207 zenon_H10c).
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.40/11.57 apply (zenon_L31_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.40/11.57 exact (zenon_H79 zenon_H78).
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.40/11.57 apply (zenon_L69_); trivial.
% 11.40/11.57 apply (zenon_L745_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.40/11.57 apply (zenon_L65_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.40/11.57 apply (zenon_L346_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.40/11.57 exact (zenon_H79 zenon_H78).
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.40/11.57 apply (zenon_L69_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.40/11.57 apply (zenon_L29_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.40/11.57 apply (zenon_L745_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.40/11.57 exact (zenon_Hcf zenon_Hce).
% 11.40/11.57 apply (zenon_L746_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.40/11.57 apply (zenon_L747_); trivial.
% 11.40/11.57 apply (zenon_L98_); trivial.
% 11.40/11.57 apply (zenon_L38_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.57 apply (zenon_L9_); trivial.
% 11.40/11.57 apply (zenon_L11_); trivial.
% 11.40/11.57 (* end of lemma zenon_L748_ *)
% 11.40/11.57 assert (zenon_L749_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 11.40/11.57 do 0 intro. intros zenon_H161 zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H27 zenon_H61 zenon_H3f zenon_H207 zenon_H34 zenon_H113 zenon_H3c zenon_H6f zenon_H41 zenon_H9a.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.57 apply (zenon_L7_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.40/11.57 apply (zenon_L118_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.40/11.57 exact (zenon_H207 zenon_H10c).
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.40/11.57 apply (zenon_L734_); trivial.
% 11.40/11.57 apply (zenon_L38_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.57 apply (zenon_L136_); trivial.
% 11.40/11.57 apply (zenon_L302_); trivial.
% 11.40/11.57 (* end of lemma zenon_L749_ *)
% 11.40/11.57 assert (zenon_L750_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> False).
% 11.40/11.57 do 0 intro. intros zenon_Hb8 zenon_H187 zenon_Hfa zenon_Hf0 zenon_He3 zenon_H141 zenon_H13a zenon_H233 zenon_H8d zenon_H79 zenon_H192 zenon_H11b zenon_Hc4 zenon_H16c zenon_H1aa zenon_H95 zenon_H242 zenon_Hb7 zenon_H1a2 zenon_H167 zenon_H226 zenon_Hcb zenon_H117 zenon_H106 zenon_H44 zenon_H1e2 zenon_H203 zenon_He2 zenon_Hc0 zenon_H65 zenon_H2e zenon_Hcf zenon_H19c zenon_H161 zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H27 zenon_H61 zenon_H3f zenon_H207 zenon_H34 zenon_H113 zenon_H3c zenon_H6f zenon_H41.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.57 apply (zenon_L3_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.57 apply (zenon_L7_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.57 apply (zenon_L31_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.57 apply (zenon_L136_); trivial.
% 11.40/11.57 apply (zenon_L748_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.57 apply (zenon_L579_); trivial.
% 11.40/11.57 apply (zenon_L749_); trivial.
% 11.40/11.57 (* end of lemma zenon_L750_ *)
% 11.40/11.57 assert (zenon_L751_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.40/11.57 do 0 intro. intros zenon_H8d zenon_H6c zenon_H79 zenon_He0 zenon_Hb9 zenon_H27 zenon_H34 zenon_H233 zenon_H13a zenon_H3f zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H9e.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.40/11.57 apply (zenon_L346_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.40/11.57 exact (zenon_H79 zenon_H78).
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.40/11.57 apply (zenon_L69_); trivial.
% 11.40/11.57 apply (zenon_L736_); trivial.
% 11.40/11.57 (* end of lemma zenon_L751_ *)
% 11.40/11.57 assert (zenon_L752_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.40/11.57 do 0 intro. intros zenon_H161 zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H16c zenon_H27 zenon_H61 zenon_H3f zenon_H207 zenon_H34 zenon_H113 zenon_H41 zenon_Hb5 zenon_H3c zenon_H99.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.57 apply (zenon_L7_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.40/11.57 apply (zenon_L118_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.40/11.57 exact (zenon_H207 zenon_H10c).
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.40/11.57 apply (zenon_L348_); trivial.
% 11.40/11.57 apply (zenon_L38_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.57 apply (zenon_L233_); trivial.
% 11.40/11.57 apply (zenon_L196_); trivial.
% 11.40/11.57 (* end of lemma zenon_L752_ *)
% 11.40/11.57 assert (zenon_L753_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 11.40/11.57 do 0 intro. intros zenon_Hb8 zenon_H8d zenon_H79 zenon_H187 zenon_H2e zenon_H16a zenon_H106 zenon_H9e zenon_Hf0 zenon_He3 zenon_H141 zenon_H13a zenon_H233 zenon_Hb9 zenon_H14f zenon_H105 zenon_H44 zenon_H15d zenon_He5 zenon_H203 zenon_H38 zenon_H3c zenon_H41 zenon_H113 zenon_H34 zenon_H207 zenon_H3f zenon_H61 zenon_H27 zenon_H16c zenon_H69 zenon_H90 zenon_H20 zenon_H25 zenon_H161 zenon_H99 zenon_H30.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.57 apply (zenon_L3_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.57 exact (zenon_H38 zenon_H33).
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.40/11.57 apply (zenon_L298_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.40/11.57 exact (zenon_H207 zenon_H10c).
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.40/11.57 apply (zenon_L8_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.40/11.57 exact (zenon_H207 zenon_H10c).
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.40/11.57 apply (zenon_L742_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.40/11.57 apply (zenon_L751_); trivial.
% 11.40/11.57 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.40/11.57 apply (zenon_L164_); trivial.
% 11.40/11.58 apply (zenon_L738_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.40/11.58 apply (zenon_L130_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.40/11.58 apply (zenon_L247_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.40/11.58 apply (zenon_L65_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.40/11.58 apply (zenon_L751_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.40/11.58 apply (zenon_L95_); trivial.
% 11.40/11.58 apply (zenon_L98_); trivial.
% 11.40/11.58 apply (zenon_L146_); trivial.
% 11.40/11.58 apply (zenon_L38_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.58 apply (zenon_L9_); trivial.
% 11.40/11.58 apply (zenon_L636_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.58 apply (zenon_L752_); trivial.
% 11.40/11.58 apply (zenon_L41_); trivial.
% 11.40/11.58 (* end of lemma zenon_L753_ *)
% 11.40/11.58 assert (zenon_L754_ : ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((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 (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((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 (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) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 11.40/11.58 do 0 intro. intros zenon_Hb5 zenon_H16e zenon_H1b0 zenon_H236 zenon_H65 zenon_Hc4 zenon_H1aa zenon_H95 zenon_H242 zenon_H92 zenon_H18f zenon_H1b8 zenon_H1e2 zenon_H263 zenon_H18b zenon_H226 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H12d zenon_Hfa zenon_H223 zenon_Hc0 zenon_H10b zenon_Hb7 zenon_H101 zenon_H167 zenon_He2 zenon_Hcb zenon_H157 zenon_H11b zenon_H10e zenon_H122 zenon_Hf3 zenon_H216 zenon_Had zenon_H19c zenon_H222 zenon_H1cb zenon_H251 zenon_H22e zenon_Hb0 zenon_H1f3 zenon_H1f0 zenon_H148 zenon_H49 zenon_H1ca zenon_Hf6 zenon_H210 zenon_Hfb zenon_H4c zenon_H192 zenon_H117 zenon_H194 zenon_Hb8 zenon_H8d zenon_H79 zenon_H187 zenon_H2e zenon_H16a zenon_H106 zenon_H9e zenon_Hf0 zenon_He3 zenon_H141 zenon_H13a zenon_H233 zenon_Hb9 zenon_H14f zenon_H105 zenon_H44 zenon_H15d zenon_He5 zenon_H203 zenon_H38 zenon_H3c zenon_H41 zenon_H113 zenon_H34 zenon_H207 zenon_H61 zenon_H27 zenon_H16c zenon_H69 zenon_H90 zenon_H20 zenon_H25 zenon_H161 zenon_H99 zenon_H30.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.58 apply (zenon_L208_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.58 exact (zenon_H38 zenon_H33).
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.58 apply (zenon_L65_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.58 apply (zenon_L9_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.58 exact (zenon_H38 zenon_H33).
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.58 apply (zenon_L732_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.58 apply (zenon_L233_); trivial.
% 11.40/11.58 apply (zenon_L196_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.58 apply (zenon_L6_); trivial.
% 11.40/11.58 apply (zenon_L753_); trivial.
% 11.40/11.58 (* end of lemma zenon_L754_ *)
% 11.40/11.58 assert (zenon_L755_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 11.40/11.58 do 0 intro. intros zenon_Hb8 zenon_H27 zenon_H20 zenon_H90 zenon_H8d zenon_H79 zenon_H34 zenon_H61 zenon_H207 zenon_H187 zenon_H25 zenon_H113 zenon_H2f zenon_H1f zenon_H3c zenon_H44 zenon_H6f zenon_H30 zenon_H41 zenon_H15e.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.58 apply (zenon_L3_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.58 apply (zenon_L637_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.58 apply (zenon_L108_); trivial.
% 11.40/11.58 apply (zenon_L302_); trivial.
% 11.40/11.58 (* end of lemma zenon_L755_ *)
% 11.40/11.58 assert (zenon_L756_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 11.40/11.58 do 0 intro. intros zenon_H194 zenon_H9d zenon_He3 zenon_H90 zenon_H16e zenon_H3f zenon_H117 zenon_H8b.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H96 | zenon_intro zenon_H195 ].
% 11.40/11.58 apply (zenon_L71_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H118 | zenon_intro zenon_H196 ].
% 11.40/11.58 apply (zenon_L96_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18a | zenon_intro zenon_H164 ].
% 11.40/11.58 apply (zenon_L213_); trivial.
% 11.40/11.58 apply (zenon_L483_); trivial.
% 11.40/11.58 (* end of lemma zenon_L756_ *)
% 11.40/11.58 assert (zenon_L757_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e2)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (((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 (e3) (e0)))) -> (((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 (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 11.40/11.58 do 0 intro. intros zenon_H22e zenon_He0 zenon_H6f zenon_H1a2 zenon_H30 zenon_H23c zenon_H41 zenon_H113 zenon_H34 zenon_H207 zenon_He5 zenon_H15d zenon_H1f zenon_H106 zenon_H38 zenon_H161 zenon_Hcc zenon_H8b zenon_H117 zenon_H3f zenon_H16e zenon_H90 zenon_He3 zenon_H194 zenon_Hf0 zenon_H141 zenon_H13a zenon_H233 zenon_H245 zenon_H228 zenon_H125 zenon_H5c zenon_H13f zenon_H3b zenon_H27 zenon_Hb9 zenon_Hb7 zenon_H20 zenon_H242 zenon_H95 zenon_H226 zenon_Hfa zenon_H25 zenon_H1aa zenon_H16c zenon_Hc4 zenon_H11b zenon_He2 zenon_H192 zenon_Hc0 zenon_Hcf zenon_H19c zenon_H3c zenon_H15e.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.40/11.58 apply (zenon_L9_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.40/11.58 apply (zenon_L92_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.40/11.58 apply (zenon_L640_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ].
% 11.40/11.58 apply (zenon_L740_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ].
% 11.40/11.58 apply (zenon_L164_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ].
% 11.40/11.58 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.40/11.58 apply (zenon_L180_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.40/11.58 apply (zenon_L513_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.40/11.58 apply (zenon_L735_); trivial.
% 11.40/11.58 apply (zenon_L756_); trivial.
% 11.40/11.58 apply (zenon_L677_); trivial.
% 11.40/11.58 (* end of lemma zenon_L757_ *)
% 11.40/11.58 assert (zenon_L758_ : (((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) (e0)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 11.40/11.58 do 0 intro. intros zenon_H8d zenon_H212 zenon_H15e zenon_H58 zenon_H3b zenon_H13f zenon_H7a zenon_H34.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.40/11.58 apply (zenon_L299_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.40/11.58 apply (zenon_L34_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.40/11.58 apply (zenon_L119_); trivial.
% 11.40/11.58 apply (zenon_L36_); trivial.
% 11.40/11.58 (* end of lemma zenon_L758_ *)
% 11.40/11.58 assert (zenon_L759_ : (((op (e1) (e1)) = (e1))/\(((~((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 (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> False).
% 11.40/11.58 do 0 intro. intros zenon_H53 zenon_H90 zenon_H14f.
% 11.40/11.58 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 11.40/11.58 apply (zenon_L247_); trivial.
% 11.40/11.58 (* end of lemma zenon_L759_ *)
% 11.40/11.58 assert (zenon_L760_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.40/11.58 do 0 intro. intros zenon_H11b zenon_H6d zenon_H16c zenon_H1f zenon_Hcb zenon_H5a zenon_H30 zenon_H117 zenon_H90.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.40/11.58 apply (zenon_L149_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.40/11.58 apply (zenon_L330_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.40/11.58 apply (zenon_L505_); trivial.
% 11.40/11.58 apply (zenon_L96_); trivial.
% 11.40/11.58 (* end of lemma zenon_L760_ *)
% 11.40/11.58 assert (zenon_L761_ : (((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) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((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)))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 11.40/11.58 do 0 intro. intros zenon_H8d zenon_H212 zenon_H79 zenon_H68 zenon_H157 zenon_Hc5 zenon_H58 zenon_H15a zenon_H167 zenon_H226 zenon_H15e zenon_H39 zenon_Hcb zenon_H41 zenon_H5a zenon_H117.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.40/11.58 apply (zenon_L299_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.40/11.58 exact (zenon_H79 zenon_H78).
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.40/11.58 apply (zenon_L366_); trivial.
% 11.40/11.58 apply (zenon_L744_); trivial.
% 11.40/11.58 (* end of lemma zenon_L761_ *)
% 11.40/11.58 assert (zenon_L762_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (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) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((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)))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 11.40/11.58 do 0 intro. intros zenon_H105 zenon_H3c zenon_H14f zenon_H90 zenon_H157 zenon_H8d zenon_H212 zenon_H79 zenon_H68 zenon_H1f3 zenon_H58 zenon_H15a zenon_H167 zenon_H226 zenon_H15e zenon_H39 zenon_Hcb zenon_H41 zenon_H5a zenon_H117.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.40/11.58 apply (zenon_L130_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.40/11.58 apply (zenon_L247_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.40/11.58 apply (zenon_L761_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.40/11.58 apply (zenon_L299_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.40/11.58 exact (zenon_H79 zenon_H78).
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.40/11.58 apply (zenon_L404_); trivial.
% 11.40/11.58 apply (zenon_L744_); trivial.
% 11.40/11.58 (* end of lemma zenon_L762_ *)
% 11.40/11.58 assert (zenon_L763_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (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) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 11.40/11.58 do 0 intro. intros zenon_H161 zenon_H34 zenon_H25 zenon_H6f zenon_H105 zenon_H3c zenon_H14f zenon_H90 zenon_H157 zenon_H8d zenon_H212 zenon_H79 zenon_H68 zenon_H1f3 zenon_H58 zenon_H15a zenon_H167 zenon_H226 zenon_H39 zenon_Hcb zenon_H41 zenon_H5a zenon_H117.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.58 apply (zenon_L7_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.58 apply (zenon_L31_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.58 apply (zenon_L136_); trivial.
% 11.40/11.58 apply (zenon_L762_); trivial.
% 11.40/11.58 (* end of lemma zenon_L763_ *)
% 11.40/11.58 assert (zenon_L764_ : (((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)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.40/11.58 do 0 intro. intros zenon_H11b zenon_H3c zenon_H152 zenon_H1f zenon_Hcb zenon_H5a zenon_H30 zenon_H117 zenon_H90.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.40/11.58 apply (zenon_L136_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.40/11.58 apply (zenon_L330_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.40/11.58 apply (zenon_L505_); trivial.
% 11.40/11.58 apply (zenon_L96_); trivial.
% 11.40/11.58 (* end of lemma zenon_L764_ *)
% 11.40/11.58 assert (zenon_L765_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.40/11.58 do 0 intro. intros zenon_H8d zenon_H41 zenon_H79 zenon_H68 zenon_H1f3 zenon_He6 zenon_H58 zenon_H15a zenon_H61 zenon_H40.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.40/11.58 apply (zenon_L31_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.40/11.58 exact (zenon_H79 zenon_H78).
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.40/11.58 apply (zenon_L404_); trivial.
% 11.40/11.58 apply (zenon_L634_); trivial.
% 11.40/11.58 (* end of lemma zenon_L765_ *)
% 11.40/11.58 assert (zenon_L766_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((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)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((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 (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.40/11.58 do 0 intro. intros zenon_H69 zenon_H61 zenon_H15a zenon_He6 zenon_H8d zenon_H68 zenon_H5c zenon_H5a zenon_H141 zenon_H194 zenon_H90 zenon_H117 zenon_H233 zenon_H192 zenon_H4c zenon_Hfb zenon_H210 zenon_H20 zenon_Hf6 zenon_H44 zenon_H1ca zenon_H49 zenon_H34 zenon_H148 zenon_H1f0 zenon_H1f3 zenon_H15d zenon_He3 zenon_Hf0 zenon_Hb0 zenon_H22e zenon_H251 zenon_H1cb zenon_H222 zenon_H19c zenon_Had zenon_H216 zenon_Hf3 zenon_H122 zenon_H10e zenon_H79 zenon_H11b zenon_H30 zenon_H157 zenon_H3c zenon_Hcb zenon_He2 zenon_H41 zenon_H167 zenon_H16a zenon_H101 zenon_H161 zenon_H27 zenon_Hb7 zenon_H10b zenon_Hc0 zenon_H223 zenon_He5 zenon_Hfa zenon_H12d zenon_H203 zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H226 zenon_H13a zenon_H106 zenon_H18b zenon_H263 zenon_H1e2 zenon_H1b8 zenon_H38 zenon_H18f zenon_Hb9 zenon_H92 zenon_H242 zenon_H95 zenon_H16c zenon_H1aa zenon_Hc4 zenon_H65 zenon_H236 zenon_H1b0 zenon_H16e zenon_H40.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.40/11.58 apply (zenon_L765_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.40/11.58 exact (zenon_H68 zenon_H6c).
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.40/11.58 apply (zenon_L21_); trivial.
% 11.40/11.58 apply (zenon_L731_); trivial.
% 11.40/11.58 (* end of lemma zenon_L766_ *)
% 11.40/11.58 assert (zenon_L767_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((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)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((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 (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.40/11.58 do 0 intro. intros zenon_H105 zenon_H2c zenon_H14f zenon_H6f zenon_H69 zenon_H61 zenon_H15a zenon_H8d zenon_H68 zenon_H5c zenon_H5a zenon_H141 zenon_H194 zenon_H90 zenon_H117 zenon_H233 zenon_H192 zenon_H4c zenon_Hfb zenon_H210 zenon_H20 zenon_Hf6 zenon_H44 zenon_H1ca zenon_H49 zenon_H34 zenon_H148 zenon_H1f0 zenon_H1f3 zenon_H15d zenon_He3 zenon_Hf0 zenon_Hb0 zenon_H22e zenon_H251 zenon_H1cb zenon_H222 zenon_H19c zenon_Had zenon_H216 zenon_Hf3 zenon_H122 zenon_H10e zenon_H79 zenon_H11b zenon_H30 zenon_H157 zenon_H3c zenon_Hcb zenon_He2 zenon_H41 zenon_H167 zenon_H16a zenon_H101 zenon_H161 zenon_H27 zenon_Hb7 zenon_H10b zenon_Hc0 zenon_H223 zenon_He5 zenon_Hfa zenon_H12d zenon_H203 zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H226 zenon_H13a zenon_H106 zenon_H18b zenon_H263 zenon_H1e2 zenon_H1b8 zenon_H38 zenon_H18f zenon_Hb9 zenon_H92 zenon_H242 zenon_H95 zenon_H16c zenon_H1aa zenon_Hc4 zenon_H65 zenon_H236 zenon_H1b0 zenon_H16e zenon_H40.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.40/11.58 apply (zenon_L211_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.40/11.58 apply (zenon_L247_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.40/11.58 apply (zenon_L53_); trivial.
% 11.40/11.58 apply (zenon_L766_); trivial.
% 11.40/11.58 (* end of lemma zenon_L767_ *)
% 11.40/11.58 assert (zenon_L768_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 11.40/11.58 do 0 intro. intros zenon_H69 zenon_H41 zenon_H75 zenon_H68 zenon_H5c zenon_H5a zenon_H61 zenon_H3f.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.40/11.58 apply (zenon_L31_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.40/11.58 exact (zenon_H68 zenon_H6c).
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.40/11.58 apply (zenon_L21_); trivial.
% 11.40/11.58 apply (zenon_L22_); trivial.
% 11.40/11.58 (* end of lemma zenon_L768_ *)
% 11.40/11.58 assert (zenon_L769_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 11.40/11.58 do 0 intro. intros zenon_H161 zenon_H34 zenon_H25 zenon_H3f zenon_H61 zenon_H5a zenon_H5c zenon_H68 zenon_H69 zenon_H3c zenon_H6f zenon_H41 zenon_H9a.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.58 apply (zenon_L7_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.58 apply (zenon_L768_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.58 apply (zenon_L136_); trivial.
% 11.40/11.58 apply (zenon_L302_); trivial.
% 11.40/11.58 (* end of lemma zenon_L769_ *)
% 11.40/11.58 assert (zenon_L770_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (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) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> False).
% 11.40/11.58 do 0 intro. intros zenon_Hb8 zenon_H2b zenon_H2e zenon_H105 zenon_H14f zenon_H90 zenon_H157 zenon_H8d zenon_H212 zenon_H79 zenon_H1f3 zenon_H15a zenon_H167 zenon_H226 zenon_Hcb zenon_H117 zenon_H44 zenon_H30 zenon_H161 zenon_H34 zenon_H25 zenon_H3f zenon_H61 zenon_H5a zenon_H5c zenon_H68 zenon_H69 zenon_H3c zenon_H6f zenon_H41.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.58 exact (zenon_H2b zenon_H26).
% 11.40/11.58 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.58 apply (zenon_L7_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.58 apply (zenon_L763_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.58 apply (zenon_L9_); trivial.
% 11.40/11.58 apply (zenon_L11_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.58 apply (zenon_L108_); trivial.
% 11.40/11.58 apply (zenon_L769_); trivial.
% 11.40/11.58 (* end of lemma zenon_L770_ *)
% 11.40/11.58 assert (zenon_L771_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.40/11.58 do 0 intro. intros zenon_H8d zenon_H41 zenon_H79 zenon_H68 zenon_H157 zenon_Hc5 zenon_H58 zenon_H15a zenon_H61 zenon_H40.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.40/11.58 apply (zenon_L31_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.40/11.58 exact (zenon_H79 zenon_H78).
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.40/11.58 apply (zenon_L366_); trivial.
% 11.40/11.58 apply (zenon_L634_); trivial.
% 11.40/11.58 (* end of lemma zenon_L771_ *)
% 11.40/11.58 assert (zenon_L772_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.40/11.58 do 0 intro. intros zenon_H105 zenon_H30 zenon_H2c zenon_H14f zenon_H90 zenon_H40 zenon_H61 zenon_H15a zenon_H58 zenon_H157 zenon_H68 zenon_H79 zenon_H41 zenon_H8d zenon_H16a zenon_H99.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.40/11.58 apply (zenon_L211_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.40/11.58 apply (zenon_L247_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.40/11.58 apply (zenon_L771_); trivial.
% 11.40/11.58 apply (zenon_L146_); trivial.
% 11.40/11.58 (* end of lemma zenon_L772_ *)
% 11.40/11.58 assert (zenon_L773_ : (((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)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.58 do 0 intro. intros zenon_H106 zenon_H30 zenon_H1f zenon_H68 zenon_Hc8 zenon_H5a zenon_Hf0 zenon_H99 zenon_H15d zenon_He5 zenon_H233.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.40/11.58 apply (zenon_L211_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.40/11.58 exact (zenon_H68 zenon_H6c).
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.40/11.58 apply (zenon_L54_); trivial.
% 11.40/11.58 apply (zenon_L738_); trivial.
% 11.40/11.58 (* end of lemma zenon_L773_ *)
% 11.40/11.58 assert (zenon_L774_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.58 do 0 intro. intros zenon_H106 zenon_H41 zenon_H39 zenon_H68 zenon_Hc5 zenon_H30 zenon_Hf0 zenon_H99 zenon_H15d zenon_He5 zenon_H233.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.40/11.58 apply (zenon_L65_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.40/11.58 exact (zenon_H68 zenon_H6c).
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.40/11.58 apply (zenon_L95_); trivial.
% 11.40/11.58 apply (zenon_L738_); trivial.
% 11.40/11.58 (* end of lemma zenon_L774_ *)
% 11.40/11.58 assert (zenon_L775_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.40/11.58 do 0 intro. intros zenon_H105 zenon_H5a zenon_Hc8 zenon_H14f zenon_H90 zenon_H233 zenon_He5 zenon_H15d zenon_Hf0 zenon_H30 zenon_H68 zenon_H39 zenon_H41 zenon_H106 zenon_H16a zenon_H99.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.40/11.58 apply (zenon_L773_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.40/11.58 apply (zenon_L247_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.40/11.58 apply (zenon_L774_); trivial.
% 11.40/11.58 apply (zenon_L146_); trivial.
% 11.40/11.58 (* end of lemma zenon_L775_ *)
% 11.40/11.58 assert (zenon_L776_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.40/11.58 do 0 intro. intros zenon_H44 zenon_H34 zenon_H25 zenon_H99 zenon_H16a zenon_H106 zenon_H68 zenon_H30 zenon_Hf0 zenon_H15d zenon_He5 zenon_H233 zenon_H90 zenon_H14f zenon_Hc8 zenon_H5a zenon_H105 zenon_H3c zenon_H2e zenon_H3f zenon_H41.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.58 apply (zenon_L7_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.58 apply (zenon_L775_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.58 apply (zenon_L9_); trivial.
% 11.40/11.58 apply (zenon_L11_); trivial.
% 11.40/11.58 (* end of lemma zenon_L776_ *)
% 11.40/11.58 assert (zenon_L777_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> False).
% 11.40/11.58 do 0 intro. intros zenon_H49 zenon_Hc0 zenon_H61 zenon_H15a zenon_H157 zenon_H79 zenon_H8d zenon_H2b zenon_Hb8 zenon_H44 zenon_H34 zenon_H25 zenon_H99 zenon_H16a zenon_H106 zenon_H68 zenon_H30 zenon_Hf0 zenon_H15d zenon_He5 zenon_H233 zenon_H90 zenon_H14f zenon_Hc8 zenon_H5a zenon_H105 zenon_H3c zenon_H2e zenon_H41.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.58 exact (zenon_H2b zenon_H26).
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.58 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.58 exact (zenon_H2b zenon_H26).
% 11.40/11.58 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.58 apply (zenon_L7_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.58 apply (zenon_L65_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.58 apply (zenon_L9_); trivial.
% 11.40/11.58 apply (zenon_L772_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.58 apply (zenon_L50_); trivial.
% 11.40/11.58 apply (zenon_L41_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.58 apply (zenon_L6_); trivial.
% 11.40/11.58 apply (zenon_L776_); trivial.
% 11.40/11.58 (* end of lemma zenon_L777_ *)
% 11.40/11.58 assert (zenon_L778_ : (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((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 (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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)) = (op (e2) (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) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> False).
% 11.40/11.58 do 0 intro. intros zenon_H23c zenon_H69 zenon_H5c zenon_H161 zenon_H117 zenon_Hcb zenon_H226 zenon_H167 zenon_H1f3 zenon_H212 zenon_H65 zenon_H141 zenon_H194 zenon_H192 zenon_H4c zenon_Hfb zenon_H210 zenon_H20 zenon_Hf6 zenon_H1ca zenon_H148 zenon_H1f0 zenon_He3 zenon_Hb0 zenon_H22e zenon_H251 zenon_H1cb zenon_H222 zenon_H19c zenon_Had zenon_H216 zenon_Hf3 zenon_H122 zenon_H10e zenon_H11b zenon_He2 zenon_H101 zenon_H27 zenon_Hb7 zenon_H10b zenon_H223 zenon_Hfa zenon_H12d zenon_H203 zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H13a zenon_H18b zenon_H263 zenon_H1e2 zenon_H1b8 zenon_H38 zenon_H18f zenon_Hb9 zenon_H92 zenon_H242 zenon_H95 zenon_H16c zenon_H1aa zenon_Hc4 zenon_H236 zenon_H1b0 zenon_H16e zenon_H49 zenon_Hc0 zenon_H61 zenon_H15a zenon_H157 zenon_H79 zenon_H8d zenon_H2b zenon_Hb8 zenon_H44 zenon_H34 zenon_H25 zenon_H16a zenon_H106 zenon_H68 zenon_H30 zenon_Hf0 zenon_H15d zenon_He5 zenon_H233 zenon_H90 zenon_H14f zenon_Hc8 zenon_H5a zenon_H105 zenon_H3c zenon_H2e zenon_H41.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.58 apply (zenon_L129_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.58 apply (zenon_L519_); trivial.
% 11.40/11.58 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.59 exact (zenon_H2b zenon_H26).
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.59 exact (zenon_H38 zenon_H33).
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.59 apply (zenon_L65_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.59 apply (zenon_L9_); trivial.
% 11.40/11.59 apply (zenon_L767_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.59 apply (zenon_L23_); trivial.
% 11.40/11.59 apply (zenon_L770_); trivial.
% 11.40/11.59 apply (zenon_L777_); trivial.
% 11.40/11.59 (* end of lemma zenon_L778_ *)
% 11.40/11.59 assert (zenon_L779_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 11.40/11.59 do 0 intro. intros zenon_Hb9 zenon_Hb1 zenon_H192 zenon_H41 zenon_H27 zenon_H197 zenon_H3b zenon_H13f zenon_H5a zenon_H5c zenon_H125 zenon_H1d9 zenon_H228 zenon_H245 zenon_H233 zenon_H13a zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H16e zenon_H3f zenon_H117 zenon_H8b.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.40/11.59 apply (zenon_L511_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.40/11.59 apply (zenon_L513_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.40/11.59 apply (zenon_L735_); trivial.
% 11.40/11.59 apply (zenon_L756_); trivial.
% 11.40/11.59 (* end of lemma zenon_L779_ *)
% 11.40/11.59 assert (zenon_L780_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((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)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((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 (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.40/11.59 do 0 intro. intros zenon_H69 zenon_H61 zenon_He0 zenon_H8d zenon_H68 zenon_H5c zenon_H5a zenon_H141 zenon_H194 zenon_H90 zenon_H117 zenon_H233 zenon_H192 zenon_H4c zenon_Hfb zenon_H210 zenon_H20 zenon_Hf6 zenon_H44 zenon_H1ca zenon_H49 zenon_H34 zenon_H148 zenon_H1f0 zenon_H1f3 zenon_H15d zenon_He3 zenon_Hf0 zenon_Hb0 zenon_H22e zenon_H251 zenon_H1cb zenon_H222 zenon_H19c zenon_Had zenon_H216 zenon_Hf3 zenon_H122 zenon_H10e zenon_H79 zenon_H11b zenon_H30 zenon_H157 zenon_H3c zenon_Hcb zenon_He2 zenon_H41 zenon_H167 zenon_H16a zenon_H101 zenon_H161 zenon_H27 zenon_Hb7 zenon_H10b zenon_Hc0 zenon_H223 zenon_He5 zenon_Hfa zenon_H12d zenon_H203 zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H226 zenon_H13a zenon_H106 zenon_H18b zenon_H263 zenon_H1e2 zenon_H1b8 zenon_H38 zenon_H18f zenon_Hb9 zenon_H92 zenon_H242 zenon_H95 zenon_H16c zenon_H1aa zenon_Hc4 zenon_H65 zenon_H236 zenon_H1b0 zenon_H16e zenon_H40.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.40/11.59 apply (zenon_L635_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.40/11.59 exact (zenon_H68 zenon_H6c).
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.40/11.59 apply (zenon_L21_); trivial.
% 11.40/11.59 apply (zenon_L731_); trivial.
% 11.40/11.59 (* end of lemma zenon_L780_ *)
% 11.40/11.59 assert (zenon_L781_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 11.40/11.59 do 0 intro. intros zenon_H197 zenon_H41 zenon_H40 zenon_H27 zenon_H7a zenon_H5a zenon_H192 zenon_Hb1.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H3f | zenon_intro zenon_H198 ].
% 11.40/11.59 apply (zenon_L11_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H62 | zenon_intro zenon_H199 ].
% 11.40/11.59 apply (zenon_L103_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H18a | zenon_intro zenon_Hb4 ].
% 11.40/11.59 apply (zenon_L186_); trivial.
% 11.40/11.59 exact (zenon_Hb1 zenon_Hb4).
% 11.40/11.59 (* end of lemma zenon_L781_ *)
% 11.40/11.59 assert (zenon_L782_ : (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((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)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((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 (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (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 (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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)) = (op (e2) (e3)))) -> ((op (e0) (e1)) = (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)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 11.40/11.59 do 0 intro. intros zenon_H192 zenon_H27 zenon_H40 zenon_H197 zenon_H69 zenon_H61 zenon_H8d zenon_H68 zenon_H5c zenon_H141 zenon_H194 zenon_H90 zenon_H117 zenon_H233 zenon_H4c zenon_Hfb zenon_H210 zenon_H20 zenon_Hf6 zenon_H44 zenon_H1ca zenon_H49 zenon_H34 zenon_H148 zenon_H1f0 zenon_H1f3 zenon_H15d zenon_He3 zenon_Hf0 zenon_H22e zenon_H251 zenon_H1cb zenon_H19c zenon_H216 zenon_Hf3 zenon_H122 zenon_H10e zenon_H79 zenon_H11b zenon_H30 zenon_H157 zenon_Hcb zenon_He2 zenon_H167 zenon_H16a zenon_H101 zenon_H161 zenon_Hb7 zenon_H10b zenon_Hc0 zenon_H223 zenon_He5 zenon_Hfa zenon_H12d zenon_H203 zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H226 zenon_H13a zenon_H106 zenon_H18b zenon_H263 zenon_H1e2 zenon_H1b8 zenon_H38 zenon_H18f zenon_Hb9 zenon_H92 zenon_H242 zenon_H95 zenon_H16c zenon_H1aa zenon_Hc4 zenon_H65 zenon_H236 zenon_H1b0 zenon_H16e zenon_H1e zenon_H113 zenon_H3c zenon_H6f zenon_Hb0 zenon_H41 zenon_H2c zenon_H222 zenon_H5a zenon_Had zenon_Hb1.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.59 exact (zenon_H38 zenon_H33).
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.40/11.59 apply (zenon_L118_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.40/11.59 apply (zenon_L87_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.40/11.59 apply (zenon_L780_); trivial.
% 11.40/11.59 apply (zenon_L781_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.59 apply (zenon_L136_); trivial.
% 11.40/11.59 apply (zenon_L493_); trivial.
% 11.40/11.59 (* end of lemma zenon_L782_ *)
% 11.40/11.59 assert (zenon_L783_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.40/11.59 do 0 intro. intros zenon_H15a zenon_H57 zenon_H1ca zenon_He6 zenon_H1f3 zenon_H2c zenon_H10b zenon_H79.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ].
% 11.40/11.59 apply (zenon_L232_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ].
% 11.40/11.59 apply (zenon_L278_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ].
% 11.40/11.59 apply (zenon_L353_); trivial.
% 11.40/11.59 exact (zenon_H79 zenon_H78).
% 11.40/11.59 (* end of lemma zenon_L783_ *)
% 11.40/11.59 assert (zenon_L784_ : (((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 (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((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)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.40/11.59 do 0 intro. intros zenon_H105 zenon_H30 zenon_H14f zenon_H90 zenon_H68 zenon_H157 zenon_H15a zenon_H57 zenon_H1ca zenon_H1f3 zenon_H2c zenon_H10b zenon_H79.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.40/11.59 apply (zenon_L211_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.40/11.59 apply (zenon_L247_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.40/11.59 apply (zenon_L398_); trivial.
% 11.40/11.59 apply (zenon_L783_); trivial.
% 11.40/11.59 (* end of lemma zenon_L784_ *)
% 11.40/11.59 assert (zenon_L785_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (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 (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.40/11.59 do 0 intro. intros zenon_H11b zenon_H20 zenon_H6e zenon_H79 zenon_H68 zenon_H157 zenon_H10b zenon_H1e zenon_H15a zenon_H5a zenon_H30 zenon_H117 zenon_H90.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.40/11.59 apply (zenon_L29_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.40/11.59 apply (zenon_L376_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.40/11.59 apply (zenon_L505_); trivial.
% 11.40/11.59 apply (zenon_L96_); trivial.
% 11.40/11.59 (* end of lemma zenon_L785_ *)
% 11.40/11.59 assert (zenon_L786_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((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 (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.59 do 0 intro. intros zenon_Hfa zenon_H117 zenon_H30 zenon_H15a zenon_H10b zenon_H157 zenon_H68 zenon_H79 zenon_H20 zenon_H11b zenon_H1e zenon_Hcb zenon_H5a zenon_H27 zenon_Hf0 zenon_He3 zenon_H90 zenon_H141 zenon_H3f zenon_H13a zenon_H233.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.40/11.59 apply (zenon_L785_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.40/11.59 apply (zenon_L55_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.40/11.59 apply (zenon_L56_); trivial.
% 11.40/11.59 apply (zenon_L735_); trivial.
% 11.40/11.59 (* end of lemma zenon_L786_ *)
% 11.40/11.59 assert (zenon_L787_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((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 (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.59 do 0 intro. intros zenon_H49 zenon_H2b zenon_H1f3 zenon_H1ca zenon_H57 zenon_H14f zenon_H105 zenon_H65 zenon_Hfa zenon_H117 zenon_H30 zenon_H15a zenon_H10b zenon_H157 zenon_H68 zenon_H79 zenon_H20 zenon_H11b zenon_H1e zenon_Hcb zenon_H5a zenon_H27 zenon_Hf0 zenon_He3 zenon_H90 zenon_H141 zenon_H13a zenon_H233.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.59 exact (zenon_H2b zenon_H26).
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.59 apply (zenon_L784_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.59 apply (zenon_L23_); trivial.
% 11.40/11.59 apply (zenon_L786_); trivial.
% 11.40/11.59 (* end of lemma zenon_L787_ *)
% 11.40/11.59 assert (zenon_L788_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.40/11.59 do 0 intro. intros zenon_H15a zenon_H10b zenon_H1cb zenon_H145 zenon_He5 zenon_Hb4 zenon_H1f3 zenon_H222 zenon_H1e zenon_H223 zenon_H68 zenon_H79.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ].
% 11.40/11.59 apply (zenon_L87_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ].
% 11.40/11.59 apply (zenon_L699_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ].
% 11.40/11.59 exact (zenon_H68 zenon_H6c).
% 11.40/11.59 exact (zenon_H79 zenon_H78).
% 11.40/11.59 (* end of lemma zenon_L788_ *)
% 11.40/11.59 assert (zenon_L789_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.40/11.59 do 0 intro. intros zenon_Hb0 zenon_H27 zenon_Hc3 zenon_H2c zenon_H5a zenon_Had zenon_H15a zenon_H10b zenon_H1cb zenon_H145 zenon_He5 zenon_H1f3 zenon_H222 zenon_H1e zenon_H223 zenon_H68 zenon_H79.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.40/11.59 apply (zenon_L51_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.40/11.59 apply (zenon_L355_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.40/11.59 apply (zenon_L46_); trivial.
% 11.40/11.59 apply (zenon_L788_); trivial.
% 11.40/11.59 (* end of lemma zenon_L789_ *)
% 11.40/11.59 assert (zenon_L790_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (((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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (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 (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> False).
% 11.40/11.59 do 0 intro. intros zenon_H148 zenon_H41 zenon_H79 zenon_H68 zenon_H223 zenon_H1e zenon_H222 zenon_H1f3 zenon_He5 zenon_H1cb zenon_H10b zenon_H15a zenon_Had zenon_H5a zenon_H2c zenon_Hc3 zenon_H27 zenon_Hb0 zenon_H3c zenon_He6.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.40/11.59 apply (zenon_L65_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.40/11.59 exact (zenon_H79 zenon_H78).
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.40/11.59 apply (zenon_L789_); trivial.
% 11.40/11.59 apply (zenon_L157_); trivial.
% 11.40/11.59 (* end of lemma zenon_L790_ *)
% 11.40/11.59 assert (zenon_L791_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (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))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((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 (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.40/11.59 do 0 intro. intros zenon_Hb8 zenon_H2b zenon_Hb1 zenon_Had zenon_H5a zenon_H222 zenon_H2c zenon_H41 zenon_Hb0 zenon_H105 zenon_H117 zenon_H30 zenon_Hcb zenon_H11b zenon_H14f zenon_H90 zenon_H157 zenon_H148 zenon_H79 zenon_H68 zenon_H223 zenon_H1e zenon_H1f3 zenon_He5 zenon_H1cb zenon_H10b zenon_H15a zenon_H3c zenon_H4f zenon_H161 zenon_Hc0 zenon_H132 zenon_Hc3 zenon_H27.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.59 exact (zenon_H2b zenon_H26).
% 11.40/11.59 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.59 apply (zenon_L58_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.59 apply (zenon_L31_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.40/11.59 apply (zenon_L764_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.40/11.59 apply (zenon_L247_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.40/11.59 apply (zenon_L376_); trivial.
% 11.40/11.59 apply (zenon_L790_); trivial.
% 11.40/11.59 apply (zenon_L493_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.59 apply (zenon_L553_); trivial.
% 11.40/11.59 apply (zenon_L51_); trivial.
% 11.40/11.59 (* end of lemma zenon_L791_ *)
% 11.40/11.59 assert (zenon_L792_ : (((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 (e1) (e3)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (((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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (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 (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> False).
% 11.40/11.59 do 0 intro. intros zenon_H105 zenon_H30 zenon_H14f zenon_H90 zenon_H6f zenon_Hc4 zenon_H148 zenon_H41 zenon_H79 zenon_H68 zenon_H223 zenon_H1e zenon_H222 zenon_H1f3 zenon_He5 zenon_H1cb zenon_H10b zenon_H15a zenon_Had zenon_H5a zenon_H2c zenon_Hc3 zenon_H27 zenon_Hb0 zenon_H3c.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.40/11.59 apply (zenon_L211_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.40/11.59 apply (zenon_L247_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.40/11.59 apply (zenon_L53_); trivial.
% 11.40/11.59 apply (zenon_L790_); trivial.
% 11.40/11.59 (* end of lemma zenon_L792_ *)
% 11.40/11.59 assert (zenon_L793_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (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)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e2)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((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 (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.59 do 0 intro. intros zenon_H49 zenon_H2b zenon_H3c zenon_Hb0 zenon_Hc3 zenon_Had zenon_H1cb zenon_He5 zenon_H1f3 zenon_H222 zenon_H223 zenon_H41 zenon_H148 zenon_Hc4 zenon_H6f zenon_H14f zenon_H105 zenon_H2e zenon_Hfa zenon_H117 zenon_H30 zenon_H15a zenon_H10b zenon_H157 zenon_H68 zenon_H79 zenon_H20 zenon_H11b zenon_H1e zenon_Hcb zenon_H5a zenon_H27 zenon_Hf0 zenon_He3 zenon_H90 zenon_H141 zenon_H13a zenon_H233.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.59 exact (zenon_H2b zenon_H26).
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.59 apply (zenon_L792_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.59 apply (zenon_L6_); trivial.
% 11.40/11.59 apply (zenon_L786_); trivial.
% 11.40/11.59 (* end of lemma zenon_L793_ *)
% 11.40/11.59 assert (zenon_L794_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (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 (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (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) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.40/11.59 do 0 intro. intros zenon_H105 zenon_H233 zenon_He5 zenon_H15d zenon_Hf0 zenon_H5a zenon_Hc8 zenon_H30 zenon_H106 zenon_H14f zenon_H90 zenon_H79 zenon_H68 zenon_H157 zenon_H10b zenon_H1e zenon_H15a zenon_H16a zenon_H99.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.40/11.59 apply (zenon_L773_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.40/11.59 apply (zenon_L247_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.40/11.59 apply (zenon_L376_); trivial.
% 11.40/11.59 apply (zenon_L146_); trivial.
% 11.40/11.59 (* end of lemma zenon_L794_ *)
% 11.40/11.59 assert (zenon_L795_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 11.40/11.59 do 0 intro. intros zenon_H22e zenon_H20 zenon_Hd0 zenon_H228 zenon_H90 zenon_H5a zenon_H30 zenon_H1d8 zenon_He6.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.40/11.59 apply (zenon_L61_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.40/11.59 apply (zenon_L391_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.40/11.59 apply (zenon_L505_); trivial.
% 11.40/11.59 apply (zenon_L255_); trivial.
% 11.40/11.59 (* end of lemma zenon_L795_ *)
% 11.40/11.59 assert (zenon_L796_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e2)) -> False).
% 11.40/11.59 do 0 intro. intros zenon_H106 zenon_H79 zenon_H10b zenon_H1f3 zenon_He6 zenon_H1ca zenon_H57 zenon_H15a zenon_H68 zenon_Hc8 zenon_H5a zenon_H16a zenon_H9a.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.40/11.59 apply (zenon_L783_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.40/11.59 exact (zenon_H68 zenon_H6c).
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.40/11.59 apply (zenon_L54_); trivial.
% 11.40/11.59 apply (zenon_L268_); trivial.
% 11.40/11.59 (* end of lemma zenon_L796_ *)
% 11.40/11.59 assert (zenon_L797_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 11.40/11.59 do 0 intro. intros zenon_H161 zenon_H4f zenon_H3f zenon_H61 zenon_H5c zenon_H69 zenon_H16a zenon_H5a zenon_Hc8 zenon_H68 zenon_H15a zenon_H57 zenon_H1ca zenon_H1f3 zenon_H10b zenon_H79 zenon_H106 zenon_H157 zenon_H90 zenon_H14f zenon_H11b zenon_H3c zenon_Hcb zenon_H30 zenon_H117 zenon_H105 zenon_H41 zenon_H9a.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.59 apply (zenon_L58_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.59 apply (zenon_L768_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.40/11.59 apply (zenon_L764_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.40/11.59 apply (zenon_L247_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.40/11.59 apply (zenon_L398_); trivial.
% 11.40/11.59 apply (zenon_L796_); trivial.
% 11.40/11.59 apply (zenon_L302_); trivial.
% 11.40/11.59 (* end of lemma zenon_L797_ *)
% 11.40/11.59 assert (zenon_L798_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e2)) = (e2))/\(((~((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 (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.40/11.59 do 0 intro. intros zenon_H4c zenon_H41 zenon_H105 zenon_H117 zenon_H30 zenon_Hcb zenon_H3c zenon_H11b zenon_H14f zenon_H157 zenon_H106 zenon_H1f3 zenon_Hc8 zenon_H5a zenon_H16a zenon_H69 zenon_H5c zenon_H161 zenon_H132 zenon_Hc0 zenon_H44 zenon_H226 zenon_H167 zenon_H212 zenon_H8d zenon_H22e zenon_H228 zenon_H1d8 zenon_H34 zenon_Hb8 zenon_H27 zenon_H49 zenon_H79 zenon_H68 zenon_H10b zenon_H1ca zenon_H57 zenon_H15a zenon_H20 zenon_Hd0 zenon_H61 zenon_H90.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.59 apply (zenon_L160_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.59 apply (zenon_L784_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.59 apply (zenon_L57_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.59 apply (zenon_L160_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.59 apply (zenon_L58_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.59 apply (zenon_L58_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.59 apply (zenon_L768_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.40/11.59 apply (zenon_L764_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.40/11.59 apply (zenon_L247_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.40/11.59 apply (zenon_L398_); trivial.
% 11.40/11.59 apply (zenon_L795_); trivial.
% 11.40/11.59 apply (zenon_L762_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.59 apply (zenon_L59_); trivial.
% 11.40/11.59 apply (zenon_L11_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.59 apply (zenon_L553_); trivial.
% 11.40/11.59 apply (zenon_L797_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.59 apply (zenon_L326_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.59 apply (zenon_L61_); trivial.
% 11.40/11.59 apply (zenon_L127_); trivial.
% 11.40/11.59 (* end of lemma zenon_L798_ *)
% 11.40/11.59 assert (zenon_L799_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e3))) -> False).
% 11.40/11.59 do 0 intro. intros zenon_H22e zenon_H20 zenon_H228 zenon_H90 zenon_H30 zenon_Hf3 zenon_H34 zenon_Hd0 zenon_H75 zenon_H10e zenon_H41 zenon_H5a zenon_H3c.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.40/11.59 apply (zenon_L61_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.40/11.59 apply (zenon_L391_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.40/11.59 apply (zenon_L505_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.40/11.59 apply (zenon_L59_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.40/11.59 apply (zenon_L229_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.40/11.59 apply (zenon_L70_); trivial.
% 11.40/11.59 apply (zenon_L273_); trivial.
% 11.40/11.59 (* end of lemma zenon_L799_ *)
% 11.40/11.59 assert (zenon_L800_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (((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)))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 11.40/11.59 do 0 intro. intros zenon_H8d zenon_H3c zenon_H10e zenon_Hd0 zenon_H34 zenon_Hf3 zenon_H30 zenon_H90 zenon_H228 zenon_H20 zenon_H22e zenon_H79 zenon_H10c zenon_H58 zenon_H167 zenon_H226 zenon_H15e zenon_H39 zenon_Hcb zenon_H41 zenon_H5a zenon_H117.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.40/11.59 apply (zenon_L799_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.40/11.59 exact (zenon_H79 zenon_H78).
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.40/11.59 apply (zenon_L291_); trivial.
% 11.40/11.59 apply (zenon_L744_); trivial.
% 11.40/11.59 (* end of lemma zenon_L800_ *)
% 11.40/11.59 assert (zenon_L801_ : (((op (e2) (e2)) = (e2))/\(((~((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 (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False).
% 11.40/11.59 do 0 intro. intros zenon_H132 zenon_Hc7 zenon_Hc8.
% 11.40/11.59 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133.
% 11.40/11.59 apply (zenon_L54_); trivial.
% 11.40/11.59 (* end of lemma zenon_L801_ *)
% 11.40/11.59 assert (zenon_L802_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((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 (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.40/11.59 do 0 intro. intros zenon_H106 zenon_H41 zenon_H39 zenon_H68 zenon_Hc8 zenon_H132 zenon_H120 zenon_H27.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.40/11.59 apply (zenon_L65_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.40/11.59 exact (zenon_H68 zenon_H6c).
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.40/11.59 apply (zenon_L801_); trivial.
% 11.40/11.59 apply (zenon_L98_); trivial.
% 11.40/11.59 (* end of lemma zenon_L802_ *)
% 11.40/11.59 assert (zenon_L803_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 11.40/11.59 do 0 intro. intros zenon_H161 zenon_H4f zenon_H3c zenon_H5a zenon_H10e zenon_Hd0 zenon_Hf3 zenon_H30 zenon_H90 zenon_H228 zenon_H20 zenon_H22e zenon_H34 zenon_H6e zenon_H41 zenon_H9a.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.59 apply (zenon_L58_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.59 apply (zenon_L799_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.59 apply (zenon_L161_); trivial.
% 11.40/11.59 apply (zenon_L302_); trivial.
% 11.40/11.59 (* end of lemma zenon_L803_ *)
% 11.40/11.59 assert (zenon_L804_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((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) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> False).
% 11.40/11.59 do 0 intro. intros zenon_H49 zenon_Hb1 zenon_Had zenon_H222 zenon_Hb0 zenon_Hb8 zenon_H203 zenon_H117 zenon_Hcb zenon_H226 zenon_H167 zenon_H79 zenon_H8d zenon_Hc4 zenon_H106 zenon_H68 zenon_Hc8 zenon_H132 zenon_H44 zenon_H27 zenon_H161 zenon_H4f zenon_H3c zenon_H5a zenon_H10e zenon_Hd0 zenon_Hf3 zenon_H30 zenon_H90 zenon_H228 zenon_H20 zenon_H22e zenon_H34 zenon_H6e zenon_H41.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.59 apply (zenon_L160_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.59 apply (zenon_L58_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.59 apply (zenon_L799_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.59 apply (zenon_L161_); trivial.
% 11.40/11.59 apply (zenon_L493_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.59 apply (zenon_L57_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.59 apply (zenon_L160_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.59 apply (zenon_L58_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.59 apply (zenon_L58_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.59 apply (zenon_L799_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.59 apply (zenon_L161_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.40/11.59 apply (zenon_L8_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.40/11.59 apply (zenon_L800_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.40/11.59 apply (zenon_L464_); trivial.
% 11.40/11.59 apply (zenon_L802_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.59 apply (zenon_L59_); trivial.
% 11.40/11.59 apply (zenon_L11_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.59 apply (zenon_L48_); trivial.
% 11.40/11.59 apply (zenon_L803_); trivial.
% 11.40/11.59 (* end of lemma zenon_L804_ *)
% 11.40/11.59 assert (zenon_L805_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (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 (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((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) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e2))/\(((~((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) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.40/11.59 do 0 intro. intros zenon_H4c zenon_H233 zenon_He5 zenon_H15d zenon_Hf0 zenon_H5a zenon_Hc8 zenon_H68 zenon_H30 zenon_H106 zenon_H6e zenon_H11b zenon_H16c zenon_Hcb zenon_H117 zenon_H49 zenon_Hb1 zenon_Had zenon_H222 zenon_Hb0 zenon_Hb8 zenon_H203 zenon_H226 zenon_H167 zenon_H79 zenon_H8d zenon_Hc4 zenon_H132 zenon_H44 zenon_H27 zenon_H161 zenon_H3c zenon_H10e zenon_Hf3 zenon_H228 zenon_H22e zenon_H34 zenon_H41 zenon_Hb7 zenon_H20 zenon_Hd0 zenon_H61 zenon_H90.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.59 apply (zenon_L804_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.59 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.59 apply (zenon_L804_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.59 apply (zenon_L760_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.59 apply (zenon_L29_); trivial.
% 11.40/11.59 apply (zenon_L773_); trivial.
% 11.40/11.59 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.59 apply (zenon_L61_); trivial.
% 11.40/11.59 apply (zenon_L127_); trivial.
% 11.40/11.59 (* end of lemma zenon_L805_ *)
% 11.40/11.59 assert (zenon_L806_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.40/11.59 do 0 intro. intros zenon_H8d zenon_H34 zenon_H57 zenon_H79 zenon_H68 zenon_H157 zenon_Hc5 zenon_H58 zenon_H15a zenon_H61 zenon_H40.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.40/11.60 apply (zenon_L118_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.40/11.60 exact (zenon_H79 zenon_H78).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.40/11.60 apply (zenon_L366_); trivial.
% 11.40/11.60 apply (zenon_L634_); trivial.
% 11.40/11.60 (* end of lemma zenon_L806_ *)
% 11.40/11.60 assert (zenon_L807_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H105 zenon_H14f zenon_H90 zenon_H40 zenon_H61 zenon_H58 zenon_H157 zenon_H68 zenon_H34 zenon_H8d zenon_H15a zenon_H57 zenon_H1ca zenon_H1f3 zenon_H2c zenon_H10b zenon_H79.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.40/11.60 apply (zenon_L326_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.40/11.60 apply (zenon_L247_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.40/11.60 apply (zenon_L806_); trivial.
% 11.40/11.60 apply (zenon_L783_); trivial.
% 11.40/11.60 (* end of lemma zenon_L807_ *)
% 11.40/11.60 assert (zenon_L808_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H8d zenon_H41 zenon_H79 zenon_H10c zenon_H58 zenon_H61 zenon_H40.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.40/11.60 apply (zenon_L31_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.40/11.60 exact (zenon_H79 zenon_H78).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.40/11.60 apply (zenon_L291_); trivial.
% 11.40/11.60 apply (zenon_L634_); trivial.
% 11.40/11.60 (* end of lemma zenon_L808_ *)
% 11.40/11.60 assert (zenon_L809_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (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)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.40/11.60 do 0 intro. intros zenon_Hb8 zenon_H30 zenon_Hb1 zenon_H192 zenon_H41 zenon_H197 zenon_H13f zenon_Hd0 zenon_H8d zenon_H79 zenon_H61 zenon_H105 zenon_H14f zenon_H90 zenon_H157 zenon_H68 zenon_H34 zenon_H15a zenon_H1ca zenon_H1f3 zenon_H2c zenon_H10b zenon_H113 zenon_H4f zenon_H3c zenon_H44 zenon_Hc0 zenon_H5a zenon_Hc3 zenon_H27.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.60 apply (zenon_L160_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.60 apply (zenon_L58_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.60 apply (zenon_L65_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.60 apply (zenon_L59_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.40/11.60 apply (zenon_L807_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.40/11.60 apply (zenon_L808_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.40/11.60 apply (zenon_L293_); trivial.
% 11.40/11.60 apply (zenon_L781_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.60 apply (zenon_L50_); trivial.
% 11.40/11.60 apply (zenon_L51_); trivial.
% 11.40/11.60 (* end of lemma zenon_L809_ *)
% 11.40/11.60 assert (zenon_L810_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e2)) = (e2))/\(((~((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 (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((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) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H12d zenon_H1b8 zenon_H212 zenon_H5c zenon_H69 zenon_H16a zenon_Hb7 zenon_H132 zenon_Hc4 zenon_H167 zenon_H226 zenon_H203 zenon_Hb0 zenon_H222 zenon_Had zenon_H16c zenon_H106 zenon_Hc8 zenon_Hf0 zenon_H15d zenon_He5 zenon_H233 zenon_H4c zenon_H27 zenon_Hc0 zenon_H44 zenon_H1d8 zenon_H79 zenon_H68 zenon_H157 zenon_H15a zenon_H14f zenon_H105 zenon_Hb8 zenon_H65 zenon_Hb1 zenon_H192 zenon_H197 zenon_H13f zenon_H8d zenon_H1ca zenon_H1f3 zenon_H10b zenon_H113 zenon_H49 zenon_H34 zenon_H11b zenon_H3c zenon_Hcb zenon_H5a zenon_H30 zenon_H117 zenon_H22e zenon_H228 zenon_Hf3 zenon_H10e zenon_H41 zenon_H38 zenon_H161 zenon_H20 zenon_Hd0 zenon_H61 zenon_H90.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.40/11.60 apply (zenon_L221_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.40/11.60 apply (zenon_L798_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.40/11.60 apply (zenon_L805_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.60 apply (zenon_L160_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.60 apply (zenon_L809_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.60 apply (zenon_L23_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.60 apply (zenon_L160_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.60 exact (zenon_H38 zenon_H33).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.40/11.60 apply (zenon_L130_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.40/11.60 apply (zenon_L247_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.40/11.60 apply (zenon_L61_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.40/11.60 apply (zenon_L391_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.40/11.60 apply (zenon_L505_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.40/11.60 apply (zenon_L59_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.40/11.60 apply (zenon_L366_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.40/11.60 apply (zenon_L70_); trivial.
% 11.40/11.60 apply (zenon_L273_); trivial.
% 11.40/11.60 apply (zenon_L795_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.60 apply (zenon_L59_); trivial.
% 11.40/11.60 apply (zenon_L11_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.60 apply (zenon_L50_); trivial.
% 11.40/11.60 apply (zenon_L51_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.60 exact (zenon_H38 zenon_H33).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.60 apply (zenon_L799_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.60 apply (zenon_L764_); trivial.
% 11.40/11.60 apply (zenon_L201_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.60 apply (zenon_L61_); trivial.
% 11.40/11.60 apply (zenon_L127_); trivial.
% 11.40/11.60 (* end of lemma zenon_L810_ *)
% 11.40/11.60 assert (zenon_L811_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.60 do 0 intro. intros zenon_Hf0 zenon_H72 zenon_H13a zenon_H90 zenon_H141 zenon_Hb1 zenon_H233.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.40/11.60 apply (zenon_L466_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.40/11.60 apply (zenon_L248_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.40/11.60 exact (zenon_Hb1 zenon_Hb4).
% 11.40/11.60 exact (zenon_H233 zenon_Hed).
% 11.40/11.60 (* end of lemma zenon_L811_ *)
% 11.40/11.60 assert (zenon_L812_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H161 zenon_H34 zenon_H25 zenon_H41 zenon_H58 zenon_H3c zenon_H6f zenon_Hec zenon_Hf6.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.60 apply (zenon_L7_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.60 apply (zenon_L31_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.60 apply (zenon_L136_); trivial.
% 11.40/11.60 apply (zenon_L269_); trivial.
% 11.40/11.60 (* end of lemma zenon_L812_ *)
% 11.40/11.60 assert (zenon_L813_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> False).
% 11.40/11.60 do 0 intro. intros zenon_Hb8 zenon_H2b zenon_Hf6 zenon_Hec zenon_H30 zenon_H161 zenon_H34 zenon_H25 zenon_H3f zenon_H61 zenon_H5a zenon_H5c zenon_H68 zenon_H69 zenon_H3c zenon_H6f zenon_H41.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.60 exact (zenon_H2b zenon_H26).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.60 apply (zenon_L812_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.60 apply (zenon_L108_); trivial.
% 11.40/11.60 apply (zenon_L769_); trivial.
% 11.40/11.60 (* end of lemma zenon_L813_ *)
% 11.40/11.60 assert (zenon_L814_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (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)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.60 do 0 intro. intros zenon_Hb7 zenon_H20 zenon_H90 zenon_H117 zenon_Hcb zenon_H16c zenon_H11b zenon_H41 zenon_H3c zenon_H69 zenon_H5c zenon_H61 zenon_H25 zenon_H34 zenon_H161 zenon_Hec zenon_Hf6 zenon_H2b zenon_Hb8 zenon_H65 zenon_H49 zenon_H106 zenon_H30 zenon_H1f zenon_H68 zenon_Hc8 zenon_H5a zenon_Hf0 zenon_H15d zenon_He5 zenon_H233.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.60 apply (zenon_L129_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.60 apply (zenon_L760_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.60 exact (zenon_H2b zenon_H26).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.60 apply (zenon_L211_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.60 apply (zenon_L23_); trivial.
% 11.40/11.60 apply (zenon_L813_); trivial.
% 11.40/11.60 apply (zenon_L773_); trivial.
% 11.40/11.60 (* end of lemma zenon_L814_ *)
% 11.40/11.60 assert (zenon_L815_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (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))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H1f0 zenon_H233 zenon_He5 zenon_H15d zenon_Hf0 zenon_H30 zenon_Hc5 zenon_H68 zenon_H39 zenon_H41 zenon_H106 zenon_Hf6 zenon_Hec zenon_H16a zenon_Ha4 zenon_H1e2 zenon_H25 zenon_H1df zenon_H2e zenon_H101 zenon_H141 zenon_H90.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ].
% 11.40/11.60 apply (zenon_L774_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ].
% 11.40/11.60 apply (zenon_L270_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ].
% 11.40/11.60 apply (zenon_L476_); trivial.
% 11.40/11.60 apply (zenon_L248_); trivial.
% 11.40/11.60 (* end of lemma zenon_L815_ *)
% 11.40/11.60 assert (zenon_L816_ : (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((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 (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((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))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.40/11.60 do 0 intro. intros zenon_Hc8 zenon_H132 zenon_H1f0 zenon_H233 zenon_He5 zenon_H15d zenon_Hf0 zenon_H30 zenon_Hc5 zenon_H68 zenon_H39 zenon_H41 zenon_H106 zenon_Hf6 zenon_Hec zenon_H16a zenon_H1e2 zenon_H25 zenon_H1df zenon_H2e zenon_H101 zenon_H141 zenon_H90.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.40/11.60 apply (zenon_L65_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.40/11.60 exact (zenon_H68 zenon_H6c).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.40/11.60 apply (zenon_L801_); trivial.
% 11.40/11.60 apply (zenon_L815_); trivial.
% 11.40/11.60 (* end of lemma zenon_L816_ *)
% 11.40/11.60 assert (zenon_L817_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e2)) = (e2))/\(((~((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) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((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) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H105 zenon_H3c zenon_H14f zenon_H90 zenon_H141 zenon_H101 zenon_H2e zenon_H30 zenon_Hf0 zenon_H15d zenon_He5 zenon_H233 zenon_H1f0 zenon_H132 zenon_H106 zenon_H41 zenon_H39 zenon_H68 zenon_Hc8 zenon_H5a zenon_H1df zenon_H25 zenon_H1e2 zenon_H16a zenon_Hec zenon_Hf6.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.40/11.60 apply (zenon_L130_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.40/11.60 apply (zenon_L247_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.40/11.60 apply (zenon_L816_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.40/11.60 apply (zenon_L65_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.40/11.60 exact (zenon_H68 zenon_H6c).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.40/11.60 apply (zenon_L54_); trivial.
% 11.40/11.60 apply (zenon_L270_); trivial.
% 11.40/11.60 (* end of lemma zenon_L817_ *)
% 11.40/11.60 assert (zenon_L818_ : (((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) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H8d zenon_H3c zenon_H6d zenon_H79 zenon_H125 zenon_Hec zenon_H61 zenon_H40.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.40/11.60 apply (zenon_L123_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.40/11.60 exact (zenon_H79 zenon_H78).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.40/11.60 apply (zenon_L101_); trivial.
% 11.40/11.60 apply (zenon_L634_); trivial.
% 11.40/11.60 (* end of lemma zenon_L818_ *)
% 11.40/11.60 assert (zenon_L819_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((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))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e2)) = (e2))/\(((~((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 (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (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 (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H44 zenon_H34 zenon_Hf6 zenon_H16a zenon_H1e2 zenon_H25 zenon_H1df zenon_H5a zenon_Hc8 zenon_H68 zenon_H41 zenon_H106 zenon_H132 zenon_H1f0 zenon_H233 zenon_He5 zenon_H15d zenon_Hf0 zenon_H30 zenon_H101 zenon_H141 zenon_H90 zenon_H14f zenon_H105 zenon_H2e zenon_H8d zenon_H3c zenon_H6d zenon_H79 zenon_H125 zenon_Hec zenon_H61.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.60 apply (zenon_L7_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.60 apply (zenon_L817_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.60 apply (zenon_L9_); trivial.
% 11.40/11.60 apply (zenon_L818_); trivial.
% 11.40/11.60 (* end of lemma zenon_L819_ *)
% 11.40/11.60 assert (zenon_L820_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H49 zenon_Hc0 zenon_H101 zenon_Hec zenon_H61 zenon_H15a zenon_H157 zenon_H79 zenon_H8d zenon_H2b zenon_Hb8 zenon_H65 zenon_H44 zenon_H34 zenon_H25 zenon_H99 zenon_H16a zenon_H106 zenon_H68 zenon_H30 zenon_Hf0 zenon_H15d zenon_He5 zenon_H233 zenon_H90 zenon_H14f zenon_Hc8 zenon_H5a zenon_H105 zenon_H3c zenon_H2e zenon_H41.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.60 exact (zenon_H2b zenon_H26).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.60 exact (zenon_H2b zenon_H26).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.60 apply (zenon_L7_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.60 apply (zenon_L775_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.60 apply (zenon_L80_); trivial.
% 11.40/11.60 apply (zenon_L772_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.60 apply (zenon_L50_); trivial.
% 11.40/11.60 apply (zenon_L41_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.60 apply (zenon_L23_); trivial.
% 11.40/11.60 apply (zenon_L776_); trivial.
% 11.40/11.60 (* end of lemma zenon_L820_ *)
% 11.40/11.60 assert (zenon_L821_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (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 (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H11b zenon_H20 zenon_H6e zenon_H79 zenon_H68 zenon_H157 zenon_H10b zenon_H1e zenon_H15a zenon_H2e zenon_H65 zenon_H117 zenon_H90.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.40/11.60 apply (zenon_L29_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.40/11.60 apply (zenon_L376_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.40/11.60 apply (zenon_L578_); trivial.
% 11.40/11.60 apply (zenon_L96_); trivial.
% 11.40/11.60 (* end of lemma zenon_L821_ *)
% 11.40/11.60 assert (zenon_L822_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H122 zenon_H2c zenon_H27 zenon_Hec zenon_H34 zenon_Hb0 zenon_H30 zenon_H99 zenon_H5a zenon_Had zenon_H15a zenon_H10b zenon_H1cb zenon_H145 zenon_He5 zenon_H1f3 zenon_H222 zenon_H1e zenon_H223 zenon_H68 zenon_H79.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ].
% 11.40/11.60 apply (zenon_L789_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ].
% 11.40/11.60 apply (zenon_L472_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ].
% 11.40/11.60 apply (zenon_L89_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.40/11.60 apply (zenon_L41_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.40/11.60 apply (zenon_L45_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.40/11.60 apply (zenon_L46_); trivial.
% 11.40/11.60 apply (zenon_L788_); trivial.
% 11.40/11.60 (* end of lemma zenon_L822_ *)
% 11.40/11.60 assert (zenon_L823_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H49 zenon_H2b zenon_H2e zenon_H105 zenon_Hc8 zenon_H14f zenon_H90 zenon_H233 zenon_He5 zenon_H15d zenon_Hf0 zenon_H30 zenon_H68 zenon_H148 zenon_H13a zenon_H41 zenon_Hb0 zenon_H34 zenon_H222 zenon_H1e zenon_H27 zenon_H5a zenon_Had zenon_H15a zenon_H10b zenon_H1cb zenon_H1f3 zenon_H223 zenon_H79 zenon_H122 zenon_Hec zenon_H1d8 zenon_H106 zenon_H16a zenon_H99.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.60 exact (zenon_H2b zenon_H26).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.40/11.60 apply (zenon_L65_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.40/11.60 exact (zenon_H79 zenon_H78).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.40/11.60 apply (zenon_L822_); trivial.
% 11.40/11.60 apply (zenon_L279_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.60 apply (zenon_L6_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.40/11.60 apply (zenon_L773_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.40/11.60 apply (zenon_L247_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.40/11.60 apply (zenon_L65_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.40/11.60 exact (zenon_H79 zenon_H78).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ].
% 11.40/11.60 apply (zenon_L789_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ].
% 11.40/11.60 apply (zenon_L472_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ].
% 11.40/11.60 apply (zenon_L89_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.40/11.60 apply (zenon_L41_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.40/11.60 apply (zenon_L45_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.40/11.60 apply (zenon_L271_); trivial.
% 11.40/11.60 apply (zenon_L420_); trivial.
% 11.40/11.60 apply (zenon_L279_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.40/11.60 exact (zenon_H68 zenon_H6c).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.40/11.60 apply (zenon_L95_); trivial.
% 11.40/11.60 apply (zenon_L738_); trivial.
% 11.40/11.60 apply (zenon_L146_); trivial.
% 11.40/11.60 (* end of lemma zenon_L823_ *)
% 11.40/11.60 assert (zenon_L824_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (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 (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H4c zenon_H16a zenon_H106 zenon_H1d8 zenon_Hec zenon_H122 zenon_H79 zenon_H223 zenon_H1f3 zenon_H1cb zenon_H10b zenon_H15a zenon_Had zenon_H5a zenon_H27 zenon_H1e zenon_H222 zenon_H34 zenon_Hb0 zenon_H41 zenon_H13a zenon_H148 zenon_H68 zenon_H30 zenon_Hf0 zenon_H15d zenon_He5 zenon_H233 zenon_H14f zenon_Hc8 zenon_H105 zenon_H2b zenon_H49 zenon_Hfa zenon_H117 zenon_H65 zenon_H157 zenon_H20 zenon_H11b zenon_Hcb zenon_H1e2 zenon_He3 zenon_H44 zenon_H25 zenon_H101 zenon_H1ca zenon_Hb7 zenon_H61 zenon_H90.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.60 apply (zenon_L129_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.60 apply (zenon_L2_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.60 apply (zenon_L129_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.60 apply (zenon_L623_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.60 exact (zenon_H2b zenon_H26).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.40/11.60 apply (zenon_L65_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.40/11.60 exact (zenon_H79 zenon_H78).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.40/11.60 apply (zenon_L821_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.40/11.60 apply (zenon_L55_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.40/11.60 apply (zenon_L174_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ].
% 11.40/11.60 apply (zenon_L261_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ].
% 11.40/11.60 apply (zenon_L472_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ].
% 11.40/11.60 apply (zenon_L89_); trivial.
% 11.40/11.60 apply (zenon_L71_); trivial.
% 11.40/11.60 apply (zenon_L279_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.60 apply (zenon_L6_); trivial.
% 11.40/11.60 apply (zenon_L81_); trivial.
% 11.40/11.60 apply (zenon_L823_); trivial.
% 11.40/11.60 apply (zenon_L127_); trivial.
% 11.40/11.60 (* end of lemma zenon_L824_ *)
% 11.40/11.60 assert (zenon_L825_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (((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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (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 (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H148 zenon_H34 zenon_H79 zenon_H68 zenon_H223 zenon_H1e zenon_H222 zenon_H1f3 zenon_He5 zenon_H1cb zenon_H10b zenon_H15a zenon_Had zenon_H5a zenon_H2c zenon_Hc3 zenon_H27 zenon_Hb0 zenon_Hec zenon_H1d8.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.40/11.60 apply (zenon_L8_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.40/11.60 exact (zenon_H79 zenon_H78).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.40/11.60 apply (zenon_L789_); trivial.
% 11.40/11.60 apply (zenon_L279_); trivial.
% 11.40/11.60 (* end of lemma zenon_L825_ *)
% 11.40/11.60 assert (zenon_L826_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((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 (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H12d zenon_H61 zenon_Hb7 zenon_H101 zenon_H44 zenon_H1e2 zenon_Hc8 zenon_H15d zenon_H41 zenon_H122 zenon_H106 zenon_H16a zenon_H4c zenon_H105 zenon_H14f zenon_H1ca zenon_H49 zenon_H2b zenon_H1d8 zenon_Hec zenon_Hb0 zenon_Had zenon_H1cb zenon_He5 zenon_H1f3 zenon_H222 zenon_H223 zenon_H34 zenon_H148 zenon_H65 zenon_Hfa zenon_H117 zenon_H30 zenon_H15a zenon_H10b zenon_H157 zenon_H68 zenon_H79 zenon_H20 zenon_H11b zenon_H1e zenon_Hcb zenon_H5a zenon_H27 zenon_Hf0 zenon_He3 zenon_H90 zenon_H141 zenon_H13a zenon_H233.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.40/11.60 apply (zenon_L824_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.40/11.60 apply (zenon_L787_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.40/11.60 apply (zenon_L785_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.60 exact (zenon_H2b zenon_H26).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.60 apply (zenon_L825_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.60 apply (zenon_L23_); trivial.
% 11.40/11.60 apply (zenon_L786_); trivial.
% 11.40/11.60 (* end of lemma zenon_L826_ *)
% 11.40/11.60 assert (zenon_L827_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H22e zenon_H20 zenon_Hd0 zenon_H228 zenon_H90 zenon_H5a zenon_H30 zenon_H3c zenon_Hec.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.40/11.60 apply (zenon_L61_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.40/11.60 apply (zenon_L391_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.40/11.60 apply (zenon_L505_); trivial.
% 11.40/11.60 apply (zenon_L273_); trivial.
% 11.40/11.60 (* end of lemma zenon_L827_ *)
% 11.40/11.60 assert (zenon_L828_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H49 zenon_H2b zenon_H34 zenon_Hec zenon_H101 zenon_H41 zenon_H38 zenon_H44 zenon_H65 zenon_H5a zenon_H72 zenon_H27.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.60 exact (zenon_H2b zenon_H26).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.60 exact (zenon_H38 zenon_H33).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.60 apply (zenon_L65_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.60 apply (zenon_L80_); trivial.
% 11.40/11.60 apply (zenon_L379_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.60 apply (zenon_L23_); trivial.
% 11.40/11.60 apply (zenon_L180_); trivial.
% 11.40/11.60 (* end of lemma zenon_L828_ *)
% 11.40/11.60 assert (zenon_L829_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e2) (e2)) = (e2))/\(((~((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 (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H137 zenon_H12d zenon_H38 zenon_H65 zenon_H13f zenon_H197 zenon_H192 zenon_H113 zenon_H203 zenon_Hc4 zenon_H10e zenon_Hf3 zenon_Hb0 zenon_Had zenon_H222 zenon_Hb7 zenon_Hf0 zenon_H233 zenon_He5 zenon_H15d zenon_H16c zenon_H49 zenon_H44 zenon_H34 zenon_H69 zenon_H61 zenon_H5a zenon_H5c zenon_H41 zenon_H20 zenon_H228 zenon_H1d8 zenon_H22e zenon_Hcb zenon_H117 zenon_H11b zenon_H212 zenon_H167 zenon_H226 zenon_H8d zenon_H161 zenon_H3c zenon_H132 zenon_Hc0 zenon_H106 zenon_H16a zenon_Hc8 zenon_Hb8 zenon_H27 zenon_H14f zenon_H90 zenon_H15a zenon_H79 zenon_H157 zenon_H1ca zenon_H10b zenon_H1f3 zenon_H105 zenon_H30 zenon_H4c zenon_Hd0 zenon_H1b8 zenon_H138.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ].
% 11.40/11.60 apply (zenon_L810_); trivial.
% 11.40/11.60 apply (zenon_L827_); trivial.
% 11.40/11.60 apply (zenon_L391_); trivial.
% 11.40/11.60 (* end of lemma zenon_L829_ *)
% 11.40/11.60 assert (zenon_L830_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (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) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (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)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (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)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((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) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H1a2 zenon_H187 zenon_H1d8 zenon_H20 zenon_H65 zenon_H38 zenon_H161 zenon_H14f zenon_H8d zenon_H226 zenon_H167 zenon_H157 zenon_H15a zenon_H79 zenon_H212 zenon_H1f3 zenon_H105 zenon_H3c zenon_H41 zenon_H34 zenon_H10b zenon_H1ca zenon_Hc8 zenon_Hc4 zenon_H69 zenon_H27 zenon_Hf0 zenon_H141 zenon_He3 zenon_H194 zenon_H4c zenon_H236 zenon_H13a zenon_H1aa zenon_H1e2 zenon_Hb0 zenon_H148 zenon_H1f0 zenon_H1cb zenon_H251 zenon_He5 zenon_H18b zenon_H263 zenon_H95 zenon_H242 zenon_H122 zenon_Hfa zenon_Hc0 zenon_H192 zenon_He2 zenon_H19c zenon_H49 zenon_H92 zenon_H15d zenon_Hb9 zenon_H10e zenon_H16e zenon_Hf3 zenon_Hfb zenon_H203 zenon_H44 zenon_Hb7 zenon_H18f zenon_H1b8 zenon_H106 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H12d zenon_H223 zenon_H101 zenon_H16a zenon_H216 zenon_Had zenon_H222 zenon_H22e zenon_Hf6 zenon_H210 zenon_H1b0 zenon_H5c zenon_H61 zenon_Hb8 zenon_H23c zenon_H228 zenon_H13f zenon_H245 zenon_H197 zenon_H113 zenon_H16c zenon_Hcb zenon_H30 zenon_H117 zenon_H90 zenon_H11b zenon_H233.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.40/11.60 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52.
% 11.40/11.60 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6.
% 11.40/11.60 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8.
% 11.40/11.60 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H207 | zenon_intro zenon_H6d ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hb5 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.60 apply (zenon_L129_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.60 apply (zenon_L129_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.60 apply (zenon_L519_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.60 apply (zenon_L3_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.60 apply (zenon_L211_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.60 apply (zenon_L3_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.60 apply (zenon_L637_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.60 apply (zenon_L108_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.60 exact (zenon_H38 zenon_H33).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.60 apply (zenon_L130_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.60 apply (zenon_L13_); trivial.
% 11.40/11.60 apply (zenon_L733_); trivial.
% 11.40/11.60 apply (zenon_L737_); trivial.
% 11.40/11.60 apply (zenon_L741_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.60 apply (zenon_L129_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.60 apply (zenon_L519_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.60 apply (zenon_L3_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.60 apply (zenon_L3_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.60 apply (zenon_L742_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.60 apply (zenon_L579_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.60 exact (zenon_H38 zenon_H33).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.60 apply (zenon_L65_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.60 apply (zenon_L9_); trivial.
% 11.40/11.60 apply (zenon_L733_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.60 apply (zenon_L6_); trivial.
% 11.40/11.60 apply (zenon_L750_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.60 apply (zenon_L3_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.60 apply (zenon_L3_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.60 apply (zenon_L742_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.60 apply (zenon_L754_); trivial.
% 11.40/11.60 apply (zenon_L41_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.60 apply (zenon_L6_); trivial.
% 11.40/11.60 apply (zenon_L753_); trivial.
% 11.40/11.60 apply (zenon_L127_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.60 apply (zenon_L129_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.60 apply (zenon_L129_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.60 apply (zenon_L519_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.60 apply (zenon_L3_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.60 apply (zenon_L211_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.60 apply (zenon_L755_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.60 apply (zenon_L3_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.60 exact (zenon_H38 zenon_H33).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.60 apply (zenon_L130_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.40/11.60 apply (zenon_L298_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.40/11.60 exact (zenon_H207 zenon_H10c).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.40/11.60 apply (zenon_L2_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.40/11.60 exact (zenon_H207 zenon_H10c).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.40/11.60 apply (zenon_L31_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.40/11.60 exact (zenon_H79 zenon_H78).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.40/11.60 apply (zenon_L69_); trivial.
% 11.40/11.60 apply (zenon_L757_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.40/11.60 apply (zenon_L211_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.40/11.60 apply (zenon_L346_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.40/11.60 exact (zenon_H79 zenon_H78).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.40/11.60 apply (zenon_L119_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.40/11.60 apply (zenon_L29_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.40/11.60 apply (zenon_L757_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.40/11.60 exact (zenon_Hcf zenon_Hce).
% 11.40/11.60 apply (zenon_L735_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.40/11.60 apply (zenon_L747_); trivial.
% 11.40/11.60 apply (zenon_L98_); trivial.
% 11.40/11.60 apply (zenon_L758_); trivial.
% 11.40/11.60 apply (zenon_L11_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.60 apply (zenon_L108_); trivial.
% 11.40/11.60 apply (zenon_L749_); trivial.
% 11.40/11.60 apply (zenon_L196_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.60 apply (zenon_L129_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.60 apply (zenon_L519_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.60 apply (zenon_L3_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.60 apply (zenon_L3_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.60 apply (zenon_L742_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.60 apply (zenon_L739_); trivial.
% 11.40/11.60 apply (zenon_L302_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.60 apply (zenon_L6_); trivial.
% 11.40/11.60 apply (zenon_L750_); trivial.
% 11.40/11.60 apply (zenon_L196_); trivial.
% 11.40/11.60 apply (zenon_L127_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.60 apply (zenon_L129_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.60 apply (zenon_L740_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.60 apply (zenon_L129_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.60 apply (zenon_L519_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.60 apply (zenon_L108_); trivial.
% 11.40/11.60 apply (zenon_L754_); trivial.
% 11.40/11.60 apply (zenon_L127_); trivial.
% 11.40/11.60 apply (zenon_L739_); trivial.
% 11.40/11.60 apply (zenon_L519_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.40/11.60 apply (zenon_L759_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.40/11.60 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133.
% 11.40/11.60 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134.
% 11.40/11.60 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136.
% 11.40/11.60 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H139. zenon_intro zenon_H138.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.60 apply (zenon_L129_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.60 apply (zenon_L129_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.60 apply (zenon_L760_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.60 exact (zenon_H2b zenon_H26).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.60 apply (zenon_L211_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.60 apply (zenon_L23_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.60 exact (zenon_H2b zenon_H26).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.60 exact (zenon_H38 zenon_H33).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.60 apply (zenon_L763_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.60 exact (zenon_H38 zenon_H33).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.60 apply (zenon_L31_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.60 apply (zenon_L764_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.40/11.60 apply (zenon_L326_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.40/11.60 apply (zenon_L31_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.40/11.60 exact (zenon_H79 zenon_H78).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.40/11.60 apply (zenon_L291_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.40/11.60 apply (zenon_L778_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.40/11.60 apply (zenon_L391_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.40/11.60 apply (zenon_L640_); trivial.
% 11.40/11.60 apply (zenon_L779_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.40/11.60 apply (zenon_L734_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.40/11.60 exact (zenon_H79 zenon_H78).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.40/11.60 apply (zenon_L119_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.40/11.60 apply (zenon_L770_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.40/11.60 apply (zenon_L92_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.40/11.60 apply (zenon_L505_); trivial.
% 11.40/11.60 apply (zenon_L779_); trivial.
% 11.40/11.60 apply (zenon_L758_); trivial.
% 11.40/11.60 apply (zenon_L11_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.60 apply (zenon_L50_); trivial.
% 11.40/11.60 apply (zenon_L769_); trivial.
% 11.40/11.60 apply (zenon_L773_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.60 apply (zenon_L778_); trivial.
% 11.40/11.60 apply (zenon_L127_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.60 apply (zenon_L129_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.60 apply (zenon_L2_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.60 apply (zenon_L129_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.60 apply (zenon_L519_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.60 exact (zenon_H2b zenon_H26).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.60 exact (zenon_H38 zenon_H33).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.60 apply (zenon_L8_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.60 apply (zenon_L9_); trivial.
% 11.40/11.60 apply (zenon_L782_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.60 apply (zenon_L6_); trivial.
% 11.40/11.60 apply (zenon_L770_); trivial.
% 11.40/11.60 apply (zenon_L777_); trivial.
% 11.40/11.60 apply (zenon_L127_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.40/11.60 apply (zenon_L787_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.40/11.60 apply (zenon_L785_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.60 exact (zenon_H2b zenon_H26).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.60 apply (zenon_L791_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.60 apply (zenon_L23_); trivial.
% 11.40/11.60 apply (zenon_L786_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.60 apply (zenon_L2_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.60 exact (zenon_H2b zenon_H26).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.60 apply (zenon_L791_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.60 apply (zenon_L23_); trivial.
% 11.40/11.60 apply (zenon_L627_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.60 apply (zenon_L623_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.60 apply (zenon_L793_); trivial.
% 11.40/11.60 apply (zenon_L794_); trivial.
% 11.40/11.60 apply (zenon_L127_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.40/11.60 apply (zenon_L810_); trivial.
% 11.40/11.60 apply (zenon_L811_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.60 apply (zenon_L129_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.60 apply (zenon_L814_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.60 apply (zenon_L129_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.60 apply (zenon_L819_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.60 exact (zenon_H38 zenon_H33).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.60 apply (zenon_L817_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.60 apply (zenon_L9_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.40/11.60 apply (zenon_L814_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.40/11.60 apply (zenon_L247_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.40/11.60 apply (zenon_L53_); trivial.
% 11.40/11.60 apply (zenon_L766_); trivial.
% 11.40/11.60 apply (zenon_L820_); trivial.
% 11.40/11.60 apply (zenon_L127_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.40/11.60 apply (zenon_L826_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.40/11.60 apply (zenon_L827_); trivial.
% 11.40/11.60 apply (zenon_L828_); trivial.
% 11.40/11.60 apply (zenon_L391_); trivial.
% 11.40/11.60 apply (zenon_L829_); trivial.
% 11.40/11.60 apply (zenon_L456_); trivial.
% 11.40/11.60 (* end of lemma zenon_L830_ *)
% 11.40/11.60 assert (zenon_L831_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H194 zenon_H9d zenon_He3 zenon_H90 zenon_H117 zenon_H26a zenon_H16e zenon_H40.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H96 | zenon_intro zenon_H195 ].
% 11.40/11.60 apply (zenon_L71_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H118 | zenon_intro zenon_H196 ].
% 11.40/11.60 apply (zenon_L96_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18a | zenon_intro zenon_H164 ].
% 11.40/11.60 exact (zenon_H26a zenon_H18a).
% 11.40/11.60 apply (zenon_L667_); trivial.
% 11.40/11.60 (* end of lemma zenon_L831_ *)
% 11.40/11.60 assert (zenon_L832_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.40/11.60 do 0 intro. intros zenon_Hb9 zenon_H34 zenon_H2e zenon_H3c zenon_H2c zenon_H41 zenon_H38 zenon_H44 zenon_H27 zenon_H233 zenon_H141 zenon_H62 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H117 zenon_H26a zenon_H16e zenon_H40.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.40/11.60 apply (zenon_L451_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.40/11.60 apply (zenon_L103_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.40/11.60 apply (zenon_L638_); trivial.
% 11.40/11.60 apply (zenon_L831_); trivial.
% 11.40/11.60 (* end of lemma zenon_L832_ *)
% 11.40/11.60 assert (zenon_L833_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (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 (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H113 zenon_H75 zenon_H207 zenon_H40 zenon_H16e zenon_H26a zenon_H117 zenon_He3 zenon_H194 zenon_Hf0 zenon_H141 zenon_H233 zenon_H27 zenon_H44 zenon_H38 zenon_H41 zenon_H2c zenon_H3c zenon_H2e zenon_H34 zenon_Hb9 zenon_H10b zenon_H8d zenon_H79 zenon_H61 zenon_H69 zenon_H90 zenon_H20.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.40/11.60 apply (zenon_L118_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.40/11.60 exact (zenon_H207 zenon_H10c).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.40/11.60 apply (zenon_L635_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.40/11.60 apply (zenon_L353_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.40/11.60 apply (zenon_L347_); trivial.
% 11.40/11.60 apply (zenon_L832_); trivial.
% 11.40/11.60 apply (zenon_L38_); trivial.
% 11.40/11.60 (* end of lemma zenon_L833_ *)
% 11.40/11.60 assert (zenon_L834_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e3) (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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H161 zenon_H20 zenon_H90 zenon_H69 zenon_H61 zenon_H79 zenon_H8d zenon_H10b zenon_Hb9 zenon_H34 zenon_H2e zenon_H2c zenon_H38 zenon_H44 zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H117 zenon_H26a zenon_H16e zenon_H207 zenon_H113 zenon_H41 zenon_Hb5 zenon_H3c zenon_H99.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.60 exact (zenon_H38 zenon_H33).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.60 apply (zenon_L65_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.60 apply (zenon_L9_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.60 exact (zenon_H38 zenon_H33).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.60 apply (zenon_L833_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.60 apply (zenon_L233_); trivial.
% 11.40/11.60 apply (zenon_L196_); trivial.
% 11.40/11.60 (* end of lemma zenon_L834_ *)
% 11.40/11.60 assert (zenon_L835_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (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 (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> False).
% 11.40/11.60 do 0 intro. intros zenon_Hb7 zenon_H23c zenon_H49 zenon_H1aa zenon_H16e zenon_H26a zenon_H117 zenon_He3 zenon_H194 zenon_Hf0 zenon_H141 zenon_H233 zenon_H44 zenon_H38 zenon_Hb9 zenon_H10b zenon_H8d zenon_H79 zenon_H30 zenon_H2e zenon_H161 zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H16c zenon_H27 zenon_H61 zenon_H207 zenon_H34 zenon_H113 zenon_H41 zenon_Hb5 zenon_H3c.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.60 apply (zenon_L129_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.60 apply (zenon_L519_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.60 apply (zenon_L108_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.60 apply (zenon_L208_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.60 apply (zenon_L834_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.60 apply (zenon_L6_); trivial.
% 11.40/11.60 apply (zenon_L752_); trivial.
% 11.40/11.60 (* end of lemma zenon_L835_ *)
% 11.40/11.60 assert (zenon_L836_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H4c zenon_He5 zenon_H15d zenon_Hc4 zenon_H106 zenon_H3c zenon_Hb5 zenon_H41 zenon_H113 zenon_H34 zenon_H207 zenon_H27 zenon_H16c zenon_H69 zenon_H20 zenon_H25 zenon_H161 zenon_H30 zenon_H79 zenon_H8d zenon_H10b zenon_Hb9 zenon_H38 zenon_H44 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H117 zenon_H26a zenon_H16e zenon_H1aa zenon_H49 zenon_H23c zenon_Hb7 zenon_H61 zenon_H90.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.60 apply (zenon_L129_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.60 apply (zenon_L740_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.60 apply (zenon_L835_); trivial.
% 11.40/11.60 apply (zenon_L127_); trivial.
% 11.40/11.60 (* end of lemma zenon_L836_ *)
% 11.40/11.60 assert (zenon_L837_ : (((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)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e0)) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H148 zenon_H3c zenon_H1f zenon_H79 zenon_H41 zenon_Hc7 zenon_H34 zenon_H120.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.40/11.60 apply (zenon_L130_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.40/11.60 exact (zenon_H79 zenon_H78).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.40/11.60 apply (zenon_L131_); trivial.
% 11.40/11.60 apply (zenon_L670_); trivial.
% 11.40/11.60 (* end of lemma zenon_L837_ *)
% 11.40/11.60 assert (zenon_L838_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H194 zenon_H9d zenon_He3 zenon_H90 zenon_H26a zenon_H117 zenon_H8b.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H96 | zenon_intro zenon_H195 ].
% 11.40/11.60 apply (zenon_L71_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H118 | zenon_intro zenon_H196 ].
% 11.40/11.60 apply (zenon_L96_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18a | zenon_intro zenon_H164 ].
% 11.40/11.60 exact (zenon_H26a zenon_H18a).
% 11.40/11.60 apply (zenon_L483_); trivial.
% 11.40/11.60 (* end of lemma zenon_L838_ *)
% 11.40/11.60 assert (zenon_L839_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (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)) = (e2)) -> ((op (e2) (e1)) = (e0)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H22e zenon_H3c zenon_He0 zenon_H20 zenon_H6f zenon_Hc0 zenon_H1a2 zenon_H16c zenon_H58 zenon_Hcc zenon_H8b zenon_H117 zenon_H90 zenon_He3 zenon_H194 zenon_Hf0 zenon_H141 zenon_H3f zenon_H13a zenon_H233 zenon_H245 zenon_H228 zenon_H125 zenon_H5c zenon_H13f zenon_H3b zenon_H27 zenon_Hb9 zenon_H26a.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.40/11.60 apply (zenon_L9_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.40/11.60 apply (zenon_L92_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.40/11.60 apply (zenon_L640_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ].
% 11.40/11.60 apply (zenon_L343_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ].
% 11.40/11.60 apply (zenon_L164_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.40/11.60 apply (zenon_L180_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.40/11.60 apply (zenon_L513_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.40/11.60 apply (zenon_L735_); trivial.
% 11.40/11.60 apply (zenon_L838_); trivial.
% 11.40/11.60 exact (zenon_H26a zenon_H18a).
% 11.40/11.60 (* end of lemma zenon_L839_ *)
% 11.40/11.60 assert (zenon_L840_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (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 (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((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) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H49 zenon_Hb8 zenon_H187 zenon_Hfa zenon_Hcf zenon_Hf0 zenon_He3 zenon_H141 zenon_H13a zenon_H233 zenon_H79 zenon_H1aa zenon_H26a zenon_Hb9 zenon_H5c zenon_H125 zenon_H228 zenon_H245 zenon_H194 zenon_H117 zenon_H16c zenon_H1a2 zenon_Hc0 zenon_H22e zenon_H1f zenon_H106 zenon_H203 zenon_H8d zenon_H212 zenon_H15e zenon_H13f zenon_H38 zenon_H44 zenon_H30 zenon_H161 zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H27 zenon_H61 zenon_H207 zenon_H34 zenon_H113 zenon_H3c zenon_H6f zenon_H41.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.60 apply (zenon_L3_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.60 apply (zenon_L211_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.60 apply (zenon_L755_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.60 apply (zenon_L3_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.60 exact (zenon_H38 zenon_H33).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.60 apply (zenon_L130_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.40/11.60 apply (zenon_L298_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.40/11.60 exact (zenon_H207 zenon_H10c).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.40/11.60 apply (zenon_L2_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.40/11.60 exact (zenon_H207 zenon_H10c).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.40/11.60 apply (zenon_L299_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.40/11.60 exact (zenon_H79 zenon_H78).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.40/11.60 apply (zenon_L119_); trivial.
% 11.40/11.60 apply (zenon_L839_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.40/11.60 apply (zenon_L211_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.40/11.60 apply (zenon_L346_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.40/11.60 exact (zenon_H79 zenon_H78).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.40/11.60 apply (zenon_L69_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.40/11.60 apply (zenon_L624_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.40/11.60 apply (zenon_L839_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.40/11.60 exact (zenon_Hcf zenon_Hce).
% 11.40/11.60 apply (zenon_L735_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.40/11.60 apply (zenon_L747_); trivial.
% 11.40/11.60 apply (zenon_L98_); trivial.
% 11.40/11.60 apply (zenon_L758_); trivial.
% 11.40/11.60 apply (zenon_L11_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.60 apply (zenon_L108_); trivial.
% 11.40/11.60 apply (zenon_L749_); trivial.
% 11.40/11.60 (* end of lemma zenon_L840_ *)
% 11.40/11.60 assert (zenon_L841_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e3)) = (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 (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (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)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H1a2 zenon_H90 zenon_H61 zenon_Hb7 zenon_H23c zenon_H49 zenon_H1aa zenon_H16e zenon_He3 zenon_H194 zenon_Hf0 zenon_H141 zenon_H233 zenon_H44 zenon_H38 zenon_Hb9 zenon_H10b zenon_H8d zenon_H79 zenon_H30 zenon_H161 zenon_H25 zenon_H20 zenon_H69 zenon_H16c zenon_H207 zenon_H34 zenon_H113 zenon_H3c zenon_H106 zenon_Hc4 zenon_H15d zenon_He5 zenon_H4c zenon_Hcc zenon_H27 zenon_H8b zenon_H117 zenon_H41 zenon_Hcb zenon_H39 zenon_H15e zenon_H226 zenon_H167 zenon_H26a.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ].
% 11.40/11.60 apply (zenon_L836_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ].
% 11.40/11.60 apply (zenon_L164_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ].
% 11.40/11.60 apply (zenon_L744_); trivial.
% 11.40/11.60 exact (zenon_H26a zenon_H18a).
% 11.40/11.60 (* end of lemma zenon_L841_ *)
% 11.40/11.60 assert (zenon_L842_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((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)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H187 zenon_H27 zenon_Hfa zenon_H6f zenon_Hcf zenon_Hf0 zenon_He3 zenon_H141 zenon_H3f zenon_H13a zenon_H233 zenon_H26a zenon_H41 zenon_H4c zenon_He5 zenon_H15d zenon_Hc4 zenon_H106 zenon_H3c zenon_H113 zenon_H34 zenon_H207 zenon_H16c zenon_H69 zenon_H25 zenon_H161 zenon_H30 zenon_H79 zenon_H8d zenon_H10b zenon_Hb9 zenon_H38 zenon_H44 zenon_H194 zenon_H16e zenon_H1aa zenon_H49 zenon_H23c zenon_Hb7 zenon_H61 zenon_H1a2 zenon_H167 zenon_H226 zenon_H15e zenon_H39 zenon_Hcb zenon_H117 zenon_H212 zenon_H1e2 zenon_H2e zenon_H203 zenon_H90 zenon_H20.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.40/11.60 apply (zenon_L298_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.40/11.60 exact (zenon_H207 zenon_H10c).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.40/11.60 apply (zenon_L494_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.40/11.60 exact (zenon_H207 zenon_H10c).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.40/11.60 apply (zenon_L299_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.40/11.60 exact (zenon_H79 zenon_H78).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.40/11.60 apply (zenon_L69_); trivial.
% 11.40/11.60 apply (zenon_L841_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.40/11.60 apply (zenon_L65_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.40/11.60 apply (zenon_L346_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.40/11.60 exact (zenon_H79 zenon_H78).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.40/11.60 apply (zenon_L69_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.40/11.60 apply (zenon_L29_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.40/11.60 apply (zenon_L841_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.40/11.60 exact (zenon_Hcf zenon_Hce).
% 11.40/11.60 apply (zenon_L746_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.40/11.60 apply (zenon_L747_); trivial.
% 11.40/11.60 apply (zenon_L98_); trivial.
% 11.40/11.60 apply (zenon_L38_); trivial.
% 11.40/11.60 (* end of lemma zenon_L842_ *)
% 11.40/11.60 assert (zenon_L843_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H22e zenon_H3c zenon_H69 zenon_H68 zenon_H61 zenon_H25 zenon_H34 zenon_H161 zenon_H30 zenon_H44 zenon_Hcb zenon_H226 zenon_H167 zenon_H15a zenon_H1f3 zenon_H79 zenon_H212 zenon_H8d zenon_H157 zenon_H14f zenon_H105 zenon_H2b zenon_Hb8 zenon_H6f zenon_Hc0 zenon_Hb9 zenon_Hb1 zenon_H192 zenon_H41 zenon_H27 zenon_H197 zenon_H3b zenon_H13f zenon_H5a zenon_H5c zenon_H125 zenon_H228 zenon_H245 zenon_H233 zenon_H13a zenon_H3f zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H26a zenon_H117 zenon_H8b.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.40/11.60 apply (zenon_L770_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.40/11.60 apply (zenon_L391_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.40/11.60 apply (zenon_L640_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.40/11.60 apply (zenon_L511_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.40/11.60 apply (zenon_L513_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.40/11.60 apply (zenon_L735_); trivial.
% 11.40/11.60 apply (zenon_L838_); trivial.
% 11.40/11.60 (* end of lemma zenon_L843_ *)
% 11.40/11.60 assert (zenon_L844_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e3) (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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.40/11.60 do 0 intro. intros zenon_H69 zenon_H61 zenon_H15a zenon_He6 zenon_H1f3 zenon_H79 zenon_H8d zenon_H68 zenon_H5c zenon_H5a zenon_Hb9 zenon_H34 zenon_H2e zenon_H3c zenon_H2c zenon_H41 zenon_H38 zenon_H44 zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H117 zenon_H26a zenon_H16e zenon_H40.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.40/11.60 apply (zenon_L765_); trivial.
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.40/11.60 exact (zenon_H68 zenon_H6c).
% 11.40/11.60 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.40/11.60 apply (zenon_L21_); trivial.
% 11.40/11.60 apply (zenon_L832_); trivial.
% 11.40/11.60 (* end of lemma zenon_L844_ *)
% 11.40/11.60 assert (zenon_L845_ : (((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) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e3) (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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.40/11.61 do 0 intro. intros zenon_H105 zenon_H30 zenon_H14f zenon_H6f zenon_Hc4 zenon_H69 zenon_H61 zenon_H15a zenon_H1f3 zenon_H79 zenon_H8d zenon_H68 zenon_H5c zenon_H5a zenon_Hb9 zenon_H34 zenon_H2e zenon_H3c zenon_H2c zenon_H41 zenon_H38 zenon_H44 zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H117 zenon_H26a zenon_H16e zenon_H40.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.40/11.61 apply (zenon_L211_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.40/11.61 apply (zenon_L247_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.40/11.61 apply (zenon_L53_); trivial.
% 11.40/11.61 apply (zenon_L844_); trivial.
% 11.40/11.61 (* end of lemma zenon_L845_ *)
% 11.40/11.61 assert (zenon_L846_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((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 (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e2)) -> False).
% 11.40/11.61 do 0 intro. intros zenon_H106 zenon_H41 zenon_H39 zenon_H68 zenon_Hc8 zenon_H132 zenon_H16a zenon_H9a.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.40/11.61 apply (zenon_L65_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.40/11.61 exact (zenon_H68 zenon_H6c).
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.40/11.61 apply (zenon_L801_); trivial.
% 11.40/11.61 apply (zenon_L268_); trivial.
% 11.40/11.61 (* end of lemma zenon_L846_ *)
% 11.40/11.61 assert (zenon_L847_ : ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e2)) = (e2))/\(((~((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 (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((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) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e3) (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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 11.40/11.61 do 0 intro. intros zenon_H9a zenon_H16a zenon_H132 zenon_Hc8 zenon_H106 zenon_H105 zenon_H30 zenon_H14f zenon_H6f zenon_Hc4 zenon_H69 zenon_H61 zenon_H15a zenon_H1f3 zenon_H79 zenon_H8d zenon_H68 zenon_H5c zenon_H5a zenon_Hb9 zenon_H34 zenon_H2e zenon_H3c zenon_H2c zenon_H41 zenon_H38 zenon_H44 zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H117 zenon_H26a zenon_H16e.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.61 exact (zenon_H38 zenon_H33).
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.61 apply (zenon_L846_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.61 apply (zenon_L9_); trivial.
% 11.40/11.61 apply (zenon_L845_); trivial.
% 11.40/11.61 (* end of lemma zenon_L847_ *)
% 11.40/11.61 assert (zenon_L848_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 11.40/11.61 do 0 intro. intros zenon_H197 zenon_H13a zenon_H233 zenon_H141 zenon_H90 zenon_He3 zenon_H96 zenon_Hf0 zenon_H26a zenon_Hb1.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H3f | zenon_intro zenon_H198 ].
% 11.40/11.61 apply (zenon_L735_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H62 | zenon_intro zenon_H199 ].
% 11.40/11.61 apply (zenon_L638_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H18a | zenon_intro zenon_Hb4 ].
% 11.40/11.61 exact (zenon_H26a zenon_H18a).
% 11.40/11.61 exact (zenon_Hb1 zenon_Hb4).
% 11.40/11.61 (* end of lemma zenon_L848_ *)
% 11.40/11.61 assert (zenon_L849_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((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 (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (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 (e3) (e3)) = (e2))) -> False).
% 11.40/11.61 do 0 intro. intros zenon_Hfa zenon_H117 zenon_H30 zenon_H15a zenon_H10b zenon_H157 zenon_H68 zenon_H79 zenon_H20 zenon_H11b zenon_H1e zenon_Hcb zenon_H5a zenon_H27 zenon_H197 zenon_H13a zenon_H233 zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H26a zenon_Hb1.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.40/11.61 apply (zenon_L785_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.40/11.61 apply (zenon_L55_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.40/11.61 apply (zenon_L56_); trivial.
% 11.40/11.61 apply (zenon_L848_); trivial.
% 11.40/11.61 (* end of lemma zenon_L849_ *)
% 11.40/11.61 assert (zenon_L850_ : ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (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) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((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 (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (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 (e3) (e3)) = (e3))) -> False).
% 11.40/11.61 do 0 intro. intros zenon_H1b0 zenon_H187 zenon_H1aa zenon_H1a2 zenon_H18f zenon_H1b8 zenon_H1ca zenon_H1d8 zenon_H222 zenon_Had zenon_Hb0 zenon_Hf3 zenon_H10e zenon_H203 zenon_H113 zenon_H12d zenon_H10b zenon_Hfa zenon_H20 zenon_Hb7 zenon_Hc8 zenon_He5 zenon_H15d zenon_H106 zenon_H65 zenon_H38 zenon_H161 zenon_H14f zenon_H8d zenon_H226 zenon_H167 zenon_H157 zenon_H15a zenon_H79 zenon_H212 zenon_H1f3 zenon_H105 zenon_H3c zenon_H41 zenon_H34 zenon_Hb8 zenon_H44 zenon_H228 zenon_Hc0 zenon_Hb9 zenon_H26a zenon_H194 zenon_He3 zenon_H141 zenon_H13a zenon_Hf0 zenon_H125 zenon_H245 zenon_H27 zenon_H192 zenon_H197 zenon_H22e zenon_H13f zenon_H5c zenon_H61 zenon_H69 zenon_H49 zenon_H16c zenon_Hcb zenon_H30 zenon_H117 zenon_H90 zenon_H11b zenon_H16a zenon_H16e zenon_Hc4 zenon_H23c zenon_H4c zenon_H122 zenon_H148 zenon_H1cb zenon_H223 zenon_Hf6 zenon_H1f0 zenon_H101 zenon_H1e2 zenon_H1df zenon_H233.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.40/11.61 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52.
% 11.40/11.61 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6.
% 11.40/11.61 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8.
% 11.40/11.61 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H207 | zenon_intro zenon_H6d ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hb5 ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.61 apply (zenon_L129_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.61 apply (zenon_L129_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.61 apply (zenon_L519_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.61 apply (zenon_L3_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.61 apply (zenon_L211_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.61 apply (zenon_L3_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.61 apply (zenon_L637_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.61 apply (zenon_L836_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.61 exact (zenon_H38 zenon_H33).
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.40/11.61 apply (zenon_L118_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.40/11.61 exact (zenon_H207 zenon_H10c).
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.40/11.61 apply (zenon_L2_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.40/11.61 exact (zenon_H207 zenon_H10c).
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.40/11.61 apply (zenon_L211_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.40/11.61 apply (zenon_L346_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.40/11.61 apply (zenon_L164_); trivial.
% 11.40/11.61 apply (zenon_L268_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.40/11.61 apply (zenon_L211_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.40/11.61 apply (zenon_L346_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.40/11.61 apply (zenon_L837_); trivial.
% 11.40/11.61 apply (zenon_L268_); trivial.
% 11.40/11.61 apply (zenon_L38_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.61 apply (zenon_L136_); trivial.
% 11.40/11.61 apply (zenon_L840_); trivial.
% 11.40/11.61 apply (zenon_L737_); trivial.
% 11.40/11.61 apply (zenon_L741_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.61 apply (zenon_L129_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.61 apply (zenon_L519_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.61 apply (zenon_L3_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.61 apply (zenon_L3_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.61 apply (zenon_L742_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.61 apply (zenon_L108_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.61 exact (zenon_H38 zenon_H33).
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.61 apply (zenon_L65_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.61 apply (zenon_L9_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.61 exact (zenon_H38 zenon_H33).
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.61 apply (zenon_L833_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.61 apply (zenon_L136_); trivial.
% 11.40/11.61 apply (zenon_L302_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.61 apply (zenon_L6_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.61 apply (zenon_L3_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.61 exact (zenon_H38 zenon_H33).
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.40/11.61 exact (zenon_H38 zenon_H33).
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.40/11.61 apply (zenon_L31_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.40/11.61 apply (zenon_L136_); trivial.
% 11.40/11.61 apply (zenon_L842_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.61 apply (zenon_L9_); trivial.
% 11.40/11.61 apply (zenon_L11_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.61 apply (zenon_L835_); trivial.
% 11.40/11.61 apply (zenon_L749_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.61 apply (zenon_L3_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.61 apply (zenon_L3_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.61 apply (zenon_L742_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.61 apply (zenon_L834_); trivial.
% 11.40/11.61 apply (zenon_L41_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.61 apply (zenon_L6_); trivial.
% 11.40/11.61 apply (zenon_L753_); trivial.
% 11.40/11.61 apply (zenon_L127_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.61 apply (zenon_L129_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.61 apply (zenon_L129_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.61 apply (zenon_L519_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.61 apply (zenon_L840_); trivial.
% 11.40/11.61 apply (zenon_L196_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.61 apply (zenon_L129_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.61 apply (zenon_L519_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.61 apply (zenon_L3_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.61 apply (zenon_L3_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.61 apply (zenon_L742_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.61 apply (zenon_L835_); trivial.
% 11.40/11.61 apply (zenon_L302_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.61 apply (zenon_L6_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.61 apply (zenon_L3_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.61 exact (zenon_H38 zenon_H33).
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.61 apply (zenon_L842_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.61 apply (zenon_L9_); trivial.
% 11.40/11.61 apply (zenon_L636_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.61 apply (zenon_L835_); trivial.
% 11.40/11.61 apply (zenon_L749_); trivial.
% 11.40/11.61 apply (zenon_L196_); trivial.
% 11.40/11.61 apply (zenon_L127_); trivial.
% 11.40/11.61 apply (zenon_L836_); trivial.
% 11.40/11.61 apply (zenon_L519_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.40/11.61 apply (zenon_L759_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.40/11.61 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133.
% 11.40/11.61 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134.
% 11.40/11.61 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136.
% 11.40/11.61 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H139. zenon_intro zenon_H138.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.61 apply (zenon_L129_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.61 apply (zenon_L129_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.61 apply (zenon_L760_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.61 exact (zenon_H2b zenon_H26).
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.61 apply (zenon_L211_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.61 apply (zenon_L23_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.61 exact (zenon_H2b zenon_H26).
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.61 exact (zenon_H38 zenon_H33).
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.61 apply (zenon_L763_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.40/11.61 apply (zenon_L768_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.40/11.61 exact (zenon_H79 zenon_H78).
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.40/11.61 apply (zenon_L119_); trivial.
% 11.40/11.61 apply (zenon_L843_); trivial.
% 11.40/11.61 apply (zenon_L11_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.61 apply (zenon_L553_); trivial.
% 11.40/11.61 apply (zenon_L769_); trivial.
% 11.40/11.61 apply (zenon_L773_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.61 apply (zenon_L129_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.61 apply (zenon_L519_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.61 exact (zenon_H2b zenon_H26).
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.61 exact (zenon_H2b zenon_H26).
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.40/11.61 exact (zenon_H38 zenon_H33).
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.40/11.61 apply (zenon_L763_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.40/11.61 apply (zenon_L9_); trivial.
% 11.40/11.61 apply (zenon_L845_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.61 apply (zenon_L108_); trivial.
% 11.40/11.61 apply (zenon_L847_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.61 apply (zenon_L6_); trivial.
% 11.40/11.61 apply (zenon_L770_); trivial.
% 11.40/11.61 apply (zenon_L777_); trivial.
% 11.40/11.61 apply (zenon_L127_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.40/11.61 apply (zenon_L849_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.40/11.61 apply (zenon_L810_); trivial.
% 11.40/11.61 apply (zenon_L811_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.61 apply (zenon_L129_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.61 apply (zenon_L814_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.40/11.61 apply (zenon_L129_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.40/11.61 apply (zenon_L819_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.40/11.61 exact (zenon_H2b zenon_H26).
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.40/11.61 exact (zenon_H2b zenon_H26).
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.40/11.61 apply (zenon_L812_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.40/11.61 apply (zenon_L108_); trivial.
% 11.40/11.61 apply (zenon_L847_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.40/11.61 apply (zenon_L6_); trivial.
% 11.40/11.61 apply (zenon_L813_); trivial.
% 11.40/11.61 apply (zenon_L820_); trivial.
% 11.40/11.61 apply (zenon_L127_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.40/11.61 apply (zenon_L826_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.40/11.61 apply (zenon_L827_); trivial.
% 11.40/11.61 apply (zenon_L828_); trivial.
% 11.40/11.61 apply (zenon_L391_); trivial.
% 11.40/11.61 apply (zenon_L829_); trivial.
% 11.40/11.61 apply (zenon_L456_); trivial.
% 11.40/11.61 (* end of lemma zenon_L850_ *)
% 11.40/11.61 assert (zenon_L851_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.40/11.61 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H41 zenon_H34 zenon_H3c zenon_H236 zenon_H233 zenon_He3 zenon_H18a zenon_H13a zenon_H47 zenon_Hf0 zenon_H9e.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.40/11.61 exact (zenon_H26b zenon_H72).
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.40/11.61 apply (zenon_L674_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.40/11.61 apply (zenon_L675_); trivial.
% 11.40/11.61 exact (zenon_H9e zenon_H9d).
% 11.40/11.61 (* end of lemma zenon_L851_ *)
% 11.40/11.61 assert (zenon_L852_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((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)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (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) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> False).
% 11.40/11.61 do 0 intro. intros zenon_H1fb zenon_H4c zenon_H26b zenon_H236 zenon_H13a zenon_Hb9 zenon_H65 zenon_H34 zenon_H3c zenon_H6d zenon_H19c zenon_He2 zenon_H192 zenon_Hc0 zenon_H161 zenon_H79 zenon_Hfa zenon_H122 zenon_H242 zenon_H226 zenon_H95 zenon_H263 zenon_H18b zenon_Hf0 zenon_H233 zenon_He5 zenon_He3 zenon_H251 zenon_H1cb zenon_H41 zenon_H1f0 zenon_H167 zenon_H148 zenon_H27 zenon_Hb0 zenon_H1e2 zenon_H16c zenon_Hcb zenon_H30 zenon_H18a zenon_H11b zenon_H1aa zenon_Hc4 zenon_H25 zenon_H20 zenon_H1fa.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hb5 ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ].
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.40/11.61 apply (zenon_L129_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.40/11.61 apply (zenon_L660_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.40/11.61 apply (zenon_L673_); trivial.
% 11.40/11.61 apply (zenon_L851_); trivial.
% 11.40/11.61 apply (zenon_L659_); trivial.
% 11.40/11.61 apply (zenon_L334_); trivial.
% 11.40/11.61 (* end of lemma zenon_L852_ *)
% 11.40/11.61 assert (zenon_L853_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.40/11.61 do 0 intro. intros zenon_Hf3 zenon_H2f zenon_H75 zenon_H10e zenon_He2 zenon_Hb9 zenon_H26b zenon_H20 zenon_H90 zenon_H18a zenon_He3 zenon_H41 zenon_H120 zenon_H27 zenon_H1f0 zenon_H30 zenon_He5 zenon_Hf0 zenon_H233 zenon_H3c zenon_H145 zenon_H1cb zenon_H251 zenon_Hb0 zenon_H9e.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.40/11.61 apply (zenon_L13_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.40/11.61 apply (zenon_L229_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.40/11.61 exact (zenon_He2 zenon_He1).
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.40/11.61 exact (zenon_H26b zenon_H72).
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.40/11.61 apply (zenon_L38_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.40/11.61 apply (zenon_L663_); trivial.
% 11.40/11.61 exact (zenon_H9e zenon_H9d).
% 11.40/11.61 (* end of lemma zenon_L853_ *)
% 11.40/11.61 assert (zenon_L854_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.40/11.61 do 0 intro. intros zenon_H122 zenon_H15d zenon_H99 zenon_Hb0 zenon_H251 zenon_H1cb zenon_H145 zenon_H3c zenon_H233 zenon_Hf0 zenon_He5 zenon_H30 zenon_H1f0 zenon_H27 zenon_H41 zenon_He3 zenon_H18a zenon_H90 zenon_H20 zenon_H26b zenon_Hb9 zenon_He2 zenon_H10e zenon_H75 zenon_H2f zenon_Hf3 zenon_H34 zenon_H9e.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.40/11.61 apply (zenon_L13_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.40/11.61 apply (zenon_L229_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.40/11.61 exact (zenon_He2 zenon_He1).
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ].
% 11.40/11.61 apply (zenon_L662_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ].
% 11.40/11.61 apply (zenon_L853_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ].
% 11.40/11.61 apply (zenon_L89_); trivial.
% 11.40/11.61 exact (zenon_H9e zenon_H9d).
% 11.40/11.61 (* end of lemma zenon_L854_ *)
% 11.40/11.61 assert (zenon_L855_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.40/11.61 do 0 intro. intros zenon_H92 zenon_H10b zenon_Hcf zenon_Hfb zenon_H148 zenon_H79 zenon_H9e zenon_H34 zenon_Hf3 zenon_H2f zenon_H75 zenon_H10e zenon_Hb9 zenon_H26b zenon_H20 zenon_He3 zenon_H27 zenon_H1f0 zenon_He5 zenon_Hf0 zenon_H233 zenon_H251 zenon_Hb0 zenon_H99 zenon_H15d zenon_H122 zenon_H18a zenon_H30 zenon_Hcc zenon_Hcb zenon_H1f zenon_H167 zenon_H3c zenon_H41 zenon_H11b zenon_H1cb zenon_He2 zenon_H16e zenon_H40.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.40/11.61 apply (zenon_L123_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.40/11.61 apply (zenon_L223_); trivial.
% 11.40/11.61 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.40/11.61 apply (zenon_L661_); trivial.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.48/11.61 apply (zenon_L130_); trivial.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.48/11.61 exact (zenon_H79 zenon_H78).
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.48/11.61 apply (zenon_L854_); trivial.
% 11.48/11.61 apply (zenon_L668_); trivial.
% 11.48/11.61 (* end of lemma zenon_L855_ *)
% 11.48/11.61 assert (zenon_L856_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e0)) -> False).
% 11.48/11.61 do 0 intro. intros zenon_H148 zenon_H1f zenon_H79 zenon_H9e zenon_Hb0 zenon_H251 zenon_H1cb zenon_H3c zenon_H233 zenon_Hf0 zenon_He5 zenon_H30 zenon_H1f0 zenon_H27 zenon_H41 zenon_He3 zenon_H18a zenon_H90 zenon_H20 zenon_H26b zenon_Hb9 zenon_He2 zenon_H10e zenon_H75 zenon_H2f zenon_Hf3 zenon_H34 zenon_H120.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.48/11.61 apply (zenon_L130_); trivial.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.48/11.61 exact (zenon_H79 zenon_H78).
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.48/11.61 apply (zenon_L853_); trivial.
% 11.48/11.61 apply (zenon_L670_); trivial.
% 11.48/11.61 (* end of lemma zenon_L856_ *)
% 11.48/11.61 assert (zenon_L857_ : ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (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) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (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) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((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))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((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 (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.48/11.61 do 0 intro. intros zenon_H1b0 zenon_H236 zenon_Hb9 zenon_H65 zenon_H242 zenon_H95 zenon_H16c zenon_H1aa zenon_Hc4 zenon_H92 zenon_H212 zenon_H18f zenon_H26b zenon_H1b8 zenon_H1e2 zenon_H263 zenon_H18b zenon_H106 zenon_H13a zenon_H226 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H203 zenon_H12d zenon_Hfa zenon_He5 zenon_H223 zenon_Hc0 zenon_H10b zenon_Hb7 zenon_H27 zenon_H161 zenon_H101 zenon_H16a zenon_H167 zenon_H41 zenon_He2 zenon_Hcb zenon_H3c zenon_H157 zenon_H30 zenon_H11b zenon_H79 zenon_H10e zenon_H122 zenon_Hf3 zenon_H216 zenon_Had zenon_H19c zenon_H222 zenon_H1cb zenon_H251 zenon_H22e zenon_Hb0 zenon_Hf0 zenon_He3 zenon_H15d zenon_H1f3 zenon_H1f0 zenon_H148 zenon_H34 zenon_H16e zenon_H49 zenon_H1ca zenon_H44 zenon_Hf6 zenon_H20 zenon_H210 zenon_Hfb zenon_H4c zenon_H18a zenon_H192 zenon_H233.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.48/11.61 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52.
% 11.48/11.61 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6.
% 11.48/11.61 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8.
% 11.48/11.61 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H207 | zenon_intro zenon_H6d ].
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hb5 ].
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ].
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.48/11.61 apply (zenon_L129_); trivial.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.48/11.61 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.61 apply (zenon_L129_); trivial.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.61 apply (zenon_L852_); trivial.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.61 apply (zenon_L641_); trivial.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.61 apply (zenon_L3_); trivial.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.61 apply (zenon_L211_); trivial.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.61 apply (zenon_L7_); trivial.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.61 apply (zenon_L130_); trivial.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.61 apply (zenon_L13_); trivial.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.48/11.61 apply (zenon_L7_); trivial.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.48/11.61 apply (zenon_L2_); trivial.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.48/11.61 exact (zenon_H207 zenon_H10c).
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.48/11.61 apply (zenon_L855_); trivial.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.48/11.61 apply (zenon_L331_); trivial.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.48/11.61 apply (zenon_L223_); trivial.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.48/11.61 apply (zenon_L661_); trivial.
% 11.48/11.61 apply (zenon_L856_); trivial.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.48/11.61 apply (zenon_L672_); trivial.
% 11.48/11.61 apply (zenon_L196_); trivial.
% 11.48/11.61 apply (zenon_L213_); trivial.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.48/11.61 apply (zenon_L673_); trivial.
% 11.48/11.61 apply (zenon_L851_); trivial.
% 11.48/11.61 apply (zenon_L677_); trivial.
% 11.48/11.61 apply (zenon_L334_); trivial.
% 11.48/11.61 apply (zenon_L852_); trivial.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.48/11.61 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 11.48/11.61 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf.
% 11.48/11.61 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc.
% 11.48/11.61 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H4d | zenon_intro zenon_H1e ].
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ].
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ].
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.48/11.61 apply (zenon_L696_); trivial.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.48/11.61 apply (zenon_L707_); trivial.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.48/11.61 apply (zenon_L725_); trivial.
% 11.48/11.61 exact (zenon_H26b zenon_H72).
% 11.48/11.61 apply (zenon_L690_); trivial.
% 11.48/11.61 apply (zenon_L184_); trivial.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ].
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ].
% 11.48/11.61 apply (zenon_L707_); trivial.
% 11.48/11.61 apply (zenon_L690_); trivial.
% 11.48/11.61 apply (zenon_L184_); trivial.
% 11.48/11.61 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.48/11.61 apply (zenon_L729_); trivial.
% 11.48/11.61 apply (zenon_L456_); trivial.
% 11.48/11.61 (* end of lemma zenon_L857_ *)
% 11.48/11.61 assert (zenon_L858_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((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)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (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) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (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 (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (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)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((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) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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)))))))))) -> False).
% 11.48/11.61 do 0 intro. intros zenon_H26c zenon_H4c zenon_H26b zenon_H236 zenon_H13a zenon_Hb9 zenon_H65 zenon_H34 zenon_H3c zenon_H19c zenon_He2 zenon_H192 zenon_Hc0 zenon_H161 zenon_H79 zenon_Hfa zenon_H122 zenon_H242 zenon_H226 zenon_H95 zenon_H263 zenon_H18b zenon_Hf0 zenon_He5 zenon_He3 zenon_H251 zenon_H1cb zenon_H41 zenon_H1f0 zenon_H167 zenon_H148 zenon_H27 zenon_Hb0 zenon_H1e2 zenon_H16c zenon_Hcb zenon_H30 zenon_H18a zenon_H11b zenon_H1aa zenon_Hc4 zenon_H49 zenon_H92 zenon_H15d zenon_H10e zenon_H16e zenon_Hf3 zenon_Hfb zenon_H10b zenon_H212 zenon_H203 zenon_H44 zenon_Hb7 zenon_H20 zenon_H18f zenon_H1b8 zenon_H106 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H12d zenon_H223 zenon_H101 zenon_H16a zenon_H157 zenon_H216 zenon_Had zenon_H222 zenon_H22e zenon_H1f3 zenon_H1ca zenon_Hf6 zenon_H210 zenon_H1b0.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H233 | zenon_intro zenon_H233 ].
% 11.48/11.62 apply (zenon_L857_); trivial.
% 11.48/11.62 apply (zenon_L857_); trivial.
% 11.48/11.62 (* end of lemma zenon_L858_ *)
% 11.48/11.62 assert (zenon_L859_ : (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((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)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((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))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (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 (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.48/11.62 do 0 intro. intros zenon_H233 zenon_H141 zenon_H62 zenon_H194 zenon_H90 zenon_H117 zenon_H1b0 zenon_H210 zenon_Hf6 zenon_H1ca zenon_H1f3 zenon_H22e zenon_H222 zenon_Had zenon_H216 zenon_H157 zenon_H16a zenon_H101 zenon_H223 zenon_H12d zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H106 zenon_H1b8 zenon_H18f zenon_H20 zenon_Hb7 zenon_H44 zenon_H203 zenon_H212 zenon_H10b zenon_Hfb zenon_Hf3 zenon_H10e zenon_H15d zenon_H92 zenon_H49 zenon_Hc4 zenon_H1aa zenon_H11b zenon_H30 zenon_Hcb zenon_H16c zenon_H1e2 zenon_Hb0 zenon_H27 zenon_H148 zenon_H167 zenon_H1f0 zenon_H41 zenon_H1cb zenon_H251 zenon_He3 zenon_He5 zenon_Hf0 zenon_H18b zenon_H263 zenon_H95 zenon_H226 zenon_H242 zenon_H122 zenon_Hfa zenon_H79 zenon_H161 zenon_Hc0 zenon_H192 zenon_He2 zenon_H19c zenon_H3c zenon_H34 zenon_H65 zenon_Hb9 zenon_H13a zenon_H236 zenon_H26b zenon_H4c zenon_H26c zenon_H16e zenon_H40.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.48/11.62 exact (zenon_H26b zenon_H72).
% 11.48/11.62 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.48/11.62 apply (zenon_L103_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.48/11.62 apply (zenon_L638_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H96 | zenon_intro zenon_H195 ].
% 11.48/11.62 apply (zenon_L71_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H118 | zenon_intro zenon_H196 ].
% 11.48/11.62 apply (zenon_L96_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18a | zenon_intro zenon_H164 ].
% 11.48/11.62 apply (zenon_L858_); trivial.
% 11.48/11.62 apply (zenon_L667_); trivial.
% 11.48/11.62 (* end of lemma zenon_L859_ *)
% 11.48/11.62 assert (zenon_L860_ : ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (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 (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((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)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((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))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (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 (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.48/11.62 do 0 intro. intros zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H233 zenon_H141 zenon_H194 zenon_H117 zenon_H1b0 zenon_H210 zenon_Hf6 zenon_H1ca zenon_H1f3 zenon_H22e zenon_H222 zenon_Had zenon_H216 zenon_H157 zenon_H16a zenon_H101 zenon_H223 zenon_H12d zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H106 zenon_H1b8 zenon_H18f zenon_Hb7 zenon_H44 zenon_H203 zenon_H212 zenon_H10b zenon_Hfb zenon_Hf3 zenon_H10e zenon_H15d zenon_H92 zenon_H49 zenon_Hc4 zenon_H1aa zenon_H11b zenon_H30 zenon_Hcb zenon_H16c zenon_H1e2 zenon_Hb0 zenon_H27 zenon_H148 zenon_H167 zenon_H1f0 zenon_H1cb zenon_H251 zenon_He3 zenon_He5 zenon_Hf0 zenon_H18b zenon_H263 zenon_H95 zenon_H226 zenon_H242 zenon_H122 zenon_Hfa zenon_H79 zenon_H161 zenon_Hc0 zenon_H192 zenon_He2 zenon_H19c zenon_H34 zenon_H65 zenon_Hb9 zenon_H13a zenon_H236 zenon_H26b zenon_H4c zenon_H26c zenon_H16e zenon_H40 zenon_H207 zenon_H113 zenon_H41 zenon_Hb5 zenon_H3c zenon_H99.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.48/11.62 apply (zenon_L7_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.48/11.62 apply (zenon_L118_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.48/11.62 exact (zenon_H207 zenon_H10c).
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.48/11.62 apply (zenon_L343_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.48/11.62 apply (zenon_L346_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.48/11.62 apply (zenon_L347_); trivial.
% 11.48/11.62 apply (zenon_L859_); trivial.
% 11.48/11.62 apply (zenon_L38_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.48/11.62 apply (zenon_L233_); trivial.
% 11.48/11.62 apply (zenon_L196_); trivial.
% 11.48/11.62 (* end of lemma zenon_L860_ *)
% 11.48/11.62 assert (zenon_L861_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (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 (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((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)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((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))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (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 (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.48/11.62 do 0 intro. intros zenon_H1f zenon_H2f zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H233 zenon_H141 zenon_H194 zenon_H117 zenon_H1b0 zenon_H210 zenon_Hf6 zenon_H1ca zenon_H1f3 zenon_H22e zenon_H222 zenon_Had zenon_H216 zenon_H157 zenon_H16a zenon_H101 zenon_H223 zenon_H12d zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H106 zenon_H1b8 zenon_H18f zenon_Hb7 zenon_H44 zenon_H203 zenon_H212 zenon_H10b zenon_Hfb zenon_Hf3 zenon_H10e zenon_H15d zenon_H92 zenon_H49 zenon_Hc4 zenon_H1aa zenon_H11b zenon_H30 zenon_Hcb zenon_H16c zenon_H1e2 zenon_Hb0 zenon_H27 zenon_H148 zenon_H167 zenon_H1f0 zenon_H1cb zenon_H251 zenon_He3 zenon_He5 zenon_Hf0 zenon_H18b zenon_H263 zenon_H95 zenon_H226 zenon_H242 zenon_H122 zenon_Hfa zenon_H79 zenon_H161 zenon_Hc0 zenon_H192 zenon_He2 zenon_H19c zenon_H34 zenon_H65 zenon_Hb9 zenon_H13a zenon_H236 zenon_H26b zenon_H4c zenon_H26c zenon_H16e zenon_H207 zenon_H113 zenon_H41 zenon_Hb5 zenon_H3c zenon_H99.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.62 apply (zenon_L7_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.62 apply (zenon_L130_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.62 apply (zenon_L13_); trivial.
% 11.48/11.62 apply (zenon_L860_); trivial.
% 11.48/11.62 (* end of lemma zenon_L861_ *)
% 11.48/11.62 assert (zenon_L862_ : (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((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)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (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) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (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 (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((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) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (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 (e3) (e3)) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> False).
% 11.48/11.62 do 0 intro. intros zenon_H23c zenon_H16e zenon_H26c zenon_H4c zenon_H26b zenon_H236 zenon_H13a zenon_Hb9 zenon_H65 zenon_H19c zenon_He2 zenon_H192 zenon_Hc0 zenon_H79 zenon_Hfa zenon_H122 zenon_H242 zenon_H226 zenon_H95 zenon_H263 zenon_H18b zenon_Hf0 zenon_He5 zenon_He3 zenon_H251 zenon_H1cb zenon_H1f0 zenon_H167 zenon_H148 zenon_Hb0 zenon_H1e2 zenon_Hcb zenon_H30 zenon_H11b zenon_H1aa zenon_Hc4 zenon_H49 zenon_H92 zenon_H15d zenon_H10e zenon_Hf3 zenon_Hfb zenon_H10b zenon_H212 zenon_H203 zenon_H44 zenon_Hb7 zenon_H18f zenon_H1b8 zenon_H106 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H12d zenon_H223 zenon_H101 zenon_H16a zenon_H157 zenon_H216 zenon_Had zenon_H222 zenon_H22e zenon_H1f3 zenon_H1ca zenon_Hf6 zenon_H210 zenon_H1b0 zenon_H117 zenon_H194 zenon_H141 zenon_H233 zenon_H1f zenon_H161 zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H16c zenon_H27 zenon_H61 zenon_H207 zenon_H34 zenon_H113 zenon_H41 zenon_Hb5 zenon_H3c.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.62 apply (zenon_L129_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.62 apply (zenon_L519_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.62 apply (zenon_L108_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.62 apply (zenon_L3_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.62 apply (zenon_L211_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.62 apply (zenon_L861_); trivial.
% 11.48/11.62 apply (zenon_L752_); trivial.
% 11.48/11.62 (* end of lemma zenon_L862_ *)
% 11.48/11.62 assert (zenon_L863_ : ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (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 (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((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)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((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))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (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 (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 11.48/11.62 do 0 intro. intros zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H61 zenon_H8d zenon_H233 zenon_H141 zenon_H194 zenon_H117 zenon_H1b0 zenon_H210 zenon_Hf6 zenon_H1ca zenon_H1f3 zenon_H22e zenon_H222 zenon_Had zenon_H216 zenon_H157 zenon_H16a zenon_H101 zenon_H223 zenon_H12d zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H106 zenon_H1b8 zenon_H18f zenon_Hb7 zenon_H44 zenon_H203 zenon_H212 zenon_H10b zenon_Hfb zenon_Hf3 zenon_H10e zenon_H15d zenon_H92 zenon_H49 zenon_Hc4 zenon_H1aa zenon_H11b zenon_H30 zenon_Hcb zenon_H16c zenon_H1e2 zenon_Hb0 zenon_H27 zenon_H148 zenon_H167 zenon_H1f0 zenon_H1cb zenon_H251 zenon_He3 zenon_He5 zenon_Hf0 zenon_H18b zenon_H263 zenon_H95 zenon_H226 zenon_H242 zenon_H122 zenon_Hfa zenon_H79 zenon_H161 zenon_Hc0 zenon_H192 zenon_He2 zenon_H19c zenon_H34 zenon_H65 zenon_Hb9 zenon_H13a zenon_H236 zenon_H26b zenon_H4c zenon_H26c zenon_H16e zenon_H40 zenon_H207 zenon_H113 zenon_H3c zenon_H6f zenon_H41 zenon_H9a.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.48/11.62 apply (zenon_L7_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.48/11.62 apply (zenon_L118_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.48/11.62 exact (zenon_H207 zenon_H10c).
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.48/11.62 apply (zenon_L635_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.48/11.62 apply (zenon_L346_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.48/11.62 apply (zenon_L347_); trivial.
% 11.48/11.62 apply (zenon_L859_); trivial.
% 11.48/11.62 apply (zenon_L38_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.48/11.62 apply (zenon_L136_); trivial.
% 11.48/11.62 apply (zenon_L302_); trivial.
% 11.48/11.62 (* end of lemma zenon_L863_ *)
% 11.48/11.62 assert (zenon_L864_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.48/11.62 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H34 zenon_H8b zenon_H233 zenon_H13a zenon_H3f zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H9e.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.48/11.62 exact (zenon_H26b zenon_H72).
% 11.48/11.62 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.48/11.62 apply (zenon_L36_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.48/11.62 apply (zenon_L735_); trivial.
% 11.48/11.62 exact (zenon_H9e zenon_H9d).
% 11.48/11.62 (* end of lemma zenon_L864_ *)
% 11.48/11.62 assert (zenon_L865_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.48/11.62 do 0 intro. intros zenon_H44 zenon_H3c zenon_H1f zenon_H20 zenon_H90 zenon_H8d zenon_H61 zenon_H27 zenon_H69 zenon_H79 zenon_H13f zenon_Hb9 zenon_H26b zenon_H34 zenon_H233 zenon_H13a zenon_H141 zenon_He3 zenon_Hf0 zenon_H9e zenon_H207 zenon_H187 zenon_H25 zenon_H113 zenon_H3f zenon_H41.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.62 apply (zenon_L7_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.62 apply (zenon_L130_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.48/11.62 apply (zenon_L298_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.48/11.62 exact (zenon_H207 zenon_H10c).
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.48/11.62 apply (zenon_L734_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.48/11.62 exact (zenon_H79 zenon_H78).
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.48/11.62 apply (zenon_L119_); trivial.
% 11.48/11.62 apply (zenon_L864_); trivial.
% 11.48/11.62 apply (zenon_L38_); trivial.
% 11.48/11.62 apply (zenon_L11_); trivial.
% 11.48/11.62 (* end of lemma zenon_L865_ *)
% 11.48/11.62 assert (zenon_L866_ : ((op (e0) (e1)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (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 (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((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)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((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))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (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 (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False).
% 11.48/11.62 do 0 intro. intros zenon_H2c zenon_H2e zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H233 zenon_H141 zenon_H194 zenon_H117 zenon_H1b0 zenon_H210 zenon_Hf6 zenon_H1ca zenon_H1f3 zenon_H22e zenon_H222 zenon_Had zenon_H216 zenon_H157 zenon_H16a zenon_H101 zenon_H223 zenon_H12d zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H106 zenon_H1b8 zenon_H18f zenon_Hb7 zenon_H44 zenon_H203 zenon_H212 zenon_H10b zenon_Hfb zenon_Hf3 zenon_H10e zenon_H15d zenon_H92 zenon_H49 zenon_Hc4 zenon_H1aa zenon_H11b zenon_H30 zenon_Hcb zenon_H16c zenon_H1e2 zenon_Hb0 zenon_H27 zenon_H148 zenon_H167 zenon_H1f0 zenon_H1cb zenon_H251 zenon_He3 zenon_He5 zenon_Hf0 zenon_H18b zenon_H263 zenon_H95 zenon_H226 zenon_H242 zenon_H122 zenon_Hfa zenon_H79 zenon_H161 zenon_Hc0 zenon_H192 zenon_He2 zenon_H19c zenon_H34 zenon_H65 zenon_Hb9 zenon_H13a zenon_H236 zenon_H26b zenon_H4c zenon_H26c zenon_H16e zenon_H207 zenon_H113 zenon_H41 zenon_Hb5 zenon_H3c zenon_H99.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.62 apply (zenon_L7_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.62 apply (zenon_L65_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.62 apply (zenon_L9_); trivial.
% 11.48/11.62 apply (zenon_L860_); trivial.
% 11.48/11.62 (* end of lemma zenon_L866_ *)
% 11.48/11.62 assert (zenon_L867_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.48/11.62 do 0 intro. intros zenon_H8d zenon_H6c zenon_H79 zenon_He0 zenon_Hb9 zenon_H26b zenon_H34 zenon_H233 zenon_H13a zenon_H3f zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H9e.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.48/11.62 apply (zenon_L346_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.48/11.62 exact (zenon_H79 zenon_H78).
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.48/11.62 apply (zenon_L69_); trivial.
% 11.48/11.62 apply (zenon_L864_); trivial.
% 11.48/11.62 (* end of lemma zenon_L867_ *)
% 11.48/11.62 assert (zenon_L868_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 11.48/11.62 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H3b zenon_H13f zenon_H5a zenon_H5c zenon_H125 zenon_H1d9 zenon_H228 zenon_H245 zenon_H233 zenon_H13a zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H16e zenon_H3f zenon_H117 zenon_H8b.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.48/11.62 exact (zenon_H26b zenon_H72).
% 11.48/11.62 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.48/11.62 apply (zenon_L513_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.48/11.62 apply (zenon_L735_); trivial.
% 11.48/11.62 apply (zenon_L756_); trivial.
% 11.48/11.62 (* end of lemma zenon_L868_ *)
% 11.48/11.62 assert (zenon_L869_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((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)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((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)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (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)) = (e2)) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 11.48/11.62 do 0 intro. intros zenon_H22e zenon_H41 zenon_H3c zenon_H113 zenon_H187 zenon_Hfa zenon_Hcf zenon_H8d zenon_H79 zenon_H34 zenon_H19c zenon_H192 zenon_He2 zenon_H11b zenon_Hc4 zenon_H1aa zenon_H25 zenon_H95 zenon_H242 zenon_Hb7 zenon_H167 zenon_H226 zenon_H15e zenon_Hcb zenon_H106 zenon_H207 zenon_H44 zenon_H1e2 zenon_H203 zenon_He0 zenon_H20 zenon_H6f zenon_Hc0 zenon_H1a2 zenon_H16c zenon_H58 zenon_Hcc zenon_H27 zenon_H8b zenon_H117 zenon_H90 zenon_He3 zenon_H194 zenon_Hf0 zenon_H141 zenon_H13a zenon_H233 zenon_H245 zenon_H228 zenon_H125 zenon_H5c zenon_H13f zenon_H3b zenon_H26b zenon_Hb9 zenon_H3f zenon_H16e.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.48/11.62 apply (zenon_L748_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.48/11.62 apply (zenon_L92_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.48/11.62 apply (zenon_L640_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ].
% 11.48/11.62 apply (zenon_L343_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ].
% 11.48/11.62 apply (zenon_L164_); trivial.
% 11.48/11.62 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ].
% 11.48/11.62 apply (zenon_L868_); trivial.
% 11.48/11.62 apply (zenon_L213_); trivial.
% 11.48/11.62 (* end of lemma zenon_L869_ *)
% 11.48/11.62 assert (zenon_L870_ : (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((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)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (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) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (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 (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((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) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (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 (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> False).
% 11.48/11.63 do 0 intro. intros zenon_H23c zenon_H16e zenon_H26c zenon_H4c zenon_H26b zenon_H236 zenon_H13a zenon_Hb9 zenon_H65 zenon_H19c zenon_He2 zenon_H192 zenon_Hc0 zenon_H79 zenon_Hfa zenon_H122 zenon_H242 zenon_H226 zenon_H95 zenon_H263 zenon_H18b zenon_Hf0 zenon_He5 zenon_He3 zenon_H251 zenon_H1cb zenon_H1f0 zenon_H167 zenon_H148 zenon_Hb0 zenon_H1e2 zenon_Hcb zenon_H11b zenon_H1aa zenon_Hc4 zenon_H49 zenon_H92 zenon_H15d zenon_H10e zenon_Hf3 zenon_Hfb zenon_H10b zenon_H212 zenon_H203 zenon_H44 zenon_Hb7 zenon_H18f zenon_H1b8 zenon_H106 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H12d zenon_H223 zenon_H101 zenon_H16a zenon_H157 zenon_H216 zenon_Had zenon_H222 zenon_H22e zenon_H1f3 zenon_H1ca zenon_Hf6 zenon_H210 zenon_H1b0 zenon_H117 zenon_H194 zenon_H141 zenon_H233 zenon_H30 zenon_H2e zenon_H161 zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H16c zenon_H27 zenon_H61 zenon_H207 zenon_H34 zenon_H113 zenon_H41 zenon_Hb5 zenon_H3c.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.63 apply (zenon_L129_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.63 apply (zenon_L519_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.63 apply (zenon_L108_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.63 apply (zenon_L208_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.63 apply (zenon_L866_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.63 apply (zenon_L6_); trivial.
% 11.48/11.63 apply (zenon_L752_); trivial.
% 11.48/11.63 (* end of lemma zenon_L870_ *)
% 11.48/11.63 assert (zenon_L871_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e3) (e3)) = (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)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((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)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((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))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (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 (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.48/11.63 do 0 intro. intros zenon_H69 zenon_H61 zenon_H15a zenon_He6 zenon_H8d zenon_H68 zenon_He0 zenon_H233 zenon_H141 zenon_H194 zenon_H90 zenon_H117 zenon_H1b0 zenon_H210 zenon_Hf6 zenon_H1ca zenon_H1f3 zenon_H22e zenon_H222 zenon_Had zenon_H216 zenon_H157 zenon_H16a zenon_H101 zenon_H223 zenon_H12d zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H106 zenon_H1b8 zenon_H18f zenon_H20 zenon_Hb7 zenon_H44 zenon_H203 zenon_H212 zenon_H10b zenon_Hfb zenon_Hf3 zenon_H10e zenon_H15d zenon_H92 zenon_H49 zenon_Hc4 zenon_H1aa zenon_H11b zenon_H30 zenon_Hcb zenon_H16c zenon_H1e2 zenon_Hb0 zenon_H27 zenon_H148 zenon_H167 zenon_H1f0 zenon_H41 zenon_H1cb zenon_H251 zenon_He3 zenon_He5 zenon_Hf0 zenon_H18b zenon_H263 zenon_H95 zenon_H226 zenon_H242 zenon_H122 zenon_Hfa zenon_H79 zenon_H161 zenon_Hc0 zenon_H192 zenon_He2 zenon_H19c zenon_H3c zenon_H34 zenon_H65 zenon_Hb9 zenon_H13a zenon_H236 zenon_H26b zenon_H4c zenon_H26c zenon_H16e zenon_H40.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.48/11.63 apply (zenon_L765_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.48/11.63 exact (zenon_H68 zenon_H6c).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.48/11.63 apply (zenon_L347_); trivial.
% 11.48/11.63 apply (zenon_L859_); trivial.
% 11.48/11.63 (* end of lemma zenon_L871_ *)
% 11.48/11.63 assert (zenon_L872_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((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)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (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) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (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 (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((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) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (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 (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.48/11.63 do 0 intro. intros zenon_H113 zenon_H5a zenon_H5c zenon_H40 zenon_H16e zenon_H26c zenon_H4c zenon_H26b zenon_H236 zenon_H13a zenon_Hb9 zenon_H65 zenon_H34 zenon_H3c zenon_H19c zenon_He2 zenon_H192 zenon_Hc0 zenon_H161 zenon_H79 zenon_Hfa zenon_H122 zenon_H242 zenon_H226 zenon_H95 zenon_H263 zenon_H18b zenon_Hf0 zenon_He5 zenon_He3 zenon_H251 zenon_H1cb zenon_H41 zenon_H1f0 zenon_H167 zenon_H148 zenon_H27 zenon_Hb0 zenon_H1e2 zenon_H16c zenon_Hcb zenon_H30 zenon_H11b zenon_H1aa zenon_Hc4 zenon_H49 zenon_H92 zenon_H15d zenon_H10e zenon_Hf3 zenon_Hfb zenon_H10b zenon_H212 zenon_H203 zenon_H44 zenon_Hb7 zenon_H18f zenon_H1b8 zenon_H106 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H12d zenon_H223 zenon_H101 zenon_H16a zenon_H157 zenon_H216 zenon_Had zenon_H222 zenon_H22e zenon_H1f3 zenon_H1ca zenon_Hf6 zenon_H210 zenon_H1b0 zenon_H117 zenon_H194 zenon_H141 zenon_H233 zenon_H68 zenon_H8d zenon_H15a zenon_H61 zenon_H69 zenon_H6f zenon_H14f zenon_H2c zenon_H105 zenon_H90 zenon_H20.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.48/11.63 apply (zenon_L784_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.48/11.63 apply (zenon_L808_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.48/11.63 exact (zenon_H68 zenon_H6c).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.48/11.63 apply (zenon_L21_); trivial.
% 11.48/11.63 apply (zenon_L859_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.48/11.63 apply (zenon_L211_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.48/11.63 apply (zenon_L247_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.48/11.63 apply (zenon_L53_); trivial.
% 11.48/11.63 apply (zenon_L871_); trivial.
% 11.48/11.63 apply (zenon_L38_); trivial.
% 11.48/11.63 (* end of lemma zenon_L872_ *)
% 11.48/11.63 assert (zenon_L873_ : ((op (e0) (e0)) = (e0)) -> ((op (e3) (e0)) = (e2)) -> (((op (e2) (e2)) = (e2))/\(((~((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 (e2) (e1)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((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)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (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) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (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 (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((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) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (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 (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.48/11.63 do 0 intro. intros zenon_H25 zenon_H9a zenon_H132 zenon_Hc8 zenon_H2e zenon_H113 zenon_H5a zenon_H5c zenon_H16e zenon_H26c zenon_H4c zenon_H26b zenon_H236 zenon_H13a zenon_Hb9 zenon_H65 zenon_H34 zenon_H3c zenon_H19c zenon_He2 zenon_H192 zenon_Hc0 zenon_H161 zenon_H79 zenon_Hfa zenon_H122 zenon_H242 zenon_H226 zenon_H95 zenon_H263 zenon_H18b zenon_Hf0 zenon_He5 zenon_He3 zenon_H251 zenon_H1cb zenon_H41 zenon_H1f0 zenon_H167 zenon_H148 zenon_H27 zenon_Hb0 zenon_H1e2 zenon_H16c zenon_Hcb zenon_H30 zenon_H11b zenon_H1aa zenon_Hc4 zenon_H49 zenon_H92 zenon_H15d zenon_H10e zenon_Hf3 zenon_Hfb zenon_H10b zenon_H212 zenon_H203 zenon_H44 zenon_Hb7 zenon_H18f zenon_H1b8 zenon_H106 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H12d zenon_H223 zenon_H101 zenon_H16a zenon_H157 zenon_H216 zenon_Had zenon_H222 zenon_H22e zenon_H1f3 zenon_H1ca zenon_Hf6 zenon_H210 zenon_H1b0 zenon_H117 zenon_H194 zenon_H141 zenon_H233 zenon_H68 zenon_H8d zenon_H15a zenon_H61 zenon_H69 zenon_H6f zenon_H14f zenon_H2c zenon_H105 zenon_H90 zenon_H20.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.63 apply (zenon_L7_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.63 apply (zenon_L846_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.63 apply (zenon_L9_); trivial.
% 11.48/11.63 apply (zenon_L872_); trivial.
% 11.48/11.63 (* end of lemma zenon_L873_ *)
% 11.48/11.63 assert (zenon_L874_ : (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (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) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((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))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> False).
% 11.48/11.63 do 0 intro. intros zenon_H23c zenon_H69 zenon_H5c zenon_H161 zenon_H117 zenon_Hcb zenon_H226 zenon_H167 zenon_H1f3 zenon_H212 zenon_H65 zenon_H132 zenon_H113 zenon_H16e zenon_H26c zenon_H4c zenon_H26b zenon_H236 zenon_H13a zenon_Hb9 zenon_H19c zenon_He2 zenon_H192 zenon_Hfa zenon_H122 zenon_H242 zenon_H95 zenon_H263 zenon_H18b zenon_He3 zenon_H251 zenon_H1cb zenon_H1f0 zenon_H148 zenon_H27 zenon_Hb0 zenon_H1e2 zenon_H16c zenon_H11b zenon_H1aa zenon_Hc4 zenon_H92 zenon_H10e zenon_Hf3 zenon_Hfb zenon_H10b zenon_H203 zenon_Hb7 zenon_H18f zenon_H1b8 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H12d zenon_H223 zenon_H101 zenon_H216 zenon_Had zenon_H222 zenon_H22e zenon_H1ca zenon_Hf6 zenon_H210 zenon_H1b0 zenon_H194 zenon_H141 zenon_H20 zenon_H49 zenon_Hc0 zenon_H61 zenon_H15a zenon_H157 zenon_H79 zenon_H8d zenon_H2b zenon_Hb8 zenon_H44 zenon_H34 zenon_H25 zenon_H16a zenon_H106 zenon_H68 zenon_H30 zenon_Hf0 zenon_H15d zenon_He5 zenon_H233 zenon_H90 zenon_H14f zenon_Hc8 zenon_H5a zenon_H105 zenon_H3c zenon_H2e zenon_H41.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.63 apply (zenon_L129_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.63 apply (zenon_L519_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.63 exact (zenon_H2b zenon_H26).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.48/11.63 exact (zenon_H2b zenon_H26).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.63 apply (zenon_L7_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.63 apply (zenon_L763_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.63 apply (zenon_L9_); trivial.
% 11.48/11.63 apply (zenon_L872_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.48/11.63 apply (zenon_L553_); trivial.
% 11.48/11.63 apply (zenon_L873_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.63 apply (zenon_L23_); trivial.
% 11.48/11.63 apply (zenon_L770_); trivial.
% 11.48/11.63 apply (zenon_L777_); trivial.
% 11.48/11.63 (* end of lemma zenon_L874_ *)
% 11.48/11.63 assert (zenon_L875_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (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 (e3) (e0)) = (e0)) -> False).
% 11.48/11.63 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H20 zenon_H233 zenon_H13a zenon_H3f zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H15d zenon_Hc3.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.48/11.63 exact (zenon_H26b zenon_H72).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.48/11.63 apply (zenon_L38_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.48/11.63 apply (zenon_L735_); trivial.
% 11.48/11.63 apply (zenon_L548_); trivial.
% 11.48/11.63 (* end of lemma zenon_L875_ *)
% 11.48/11.63 assert (zenon_L876_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e2))/\(((~((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 (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (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 (e3) (e0)) = (e0)) -> False).
% 11.48/11.63 do 0 intro. intros zenon_H49 zenon_H27 zenon_H132 zenon_Hc0 zenon_H161 zenon_H4f zenon_H3c zenon_H15a zenon_H10b zenon_H1cb zenon_He5 zenon_H1f3 zenon_H1e zenon_H223 zenon_H68 zenon_H79 zenon_H148 zenon_H157 zenon_H14f zenon_H11b zenon_Hcb zenon_H30 zenon_H117 zenon_H105 zenon_Hb0 zenon_H41 zenon_H222 zenon_Had zenon_Hb1 zenon_H2b zenon_Hb8 zenon_H65 zenon_H5a zenon_Hb9 zenon_H26b zenon_H20 zenon_H233 zenon_H13a zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H15d zenon_Hc3.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.63 exact (zenon_H2b zenon_H26).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.63 apply (zenon_L791_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.63 apply (zenon_L23_); trivial.
% 11.48/11.63 apply (zenon_L875_); trivial.
% 11.48/11.63 (* end of lemma zenon_L876_ *)
% 11.48/11.63 assert (zenon_L877_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (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)) = (e1)) -> (~((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 (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (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 (e3) (e0)) = (e0)) -> False).
% 11.48/11.63 do 0 intro. intros zenon_H49 zenon_H2b zenon_H3c zenon_Hb0 zenon_H27 zenon_Had zenon_H15a zenon_H10b zenon_H1cb zenon_He5 zenon_H1f3 zenon_H222 zenon_H1e zenon_H223 zenon_H68 zenon_H79 zenon_H41 zenon_H148 zenon_Hc4 zenon_H6f zenon_H14f zenon_H30 zenon_H105 zenon_H65 zenon_H5a zenon_Hb9 zenon_H26b zenon_H20 zenon_H233 zenon_H13a zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H15d zenon_Hc3.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.63 exact (zenon_H2b zenon_H26).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.63 apply (zenon_L792_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.63 apply (zenon_L23_); trivial.
% 11.48/11.63 apply (zenon_L875_); trivial.
% 11.48/11.63 (* end of lemma zenon_L877_ *)
% 11.48/11.63 assert (zenon_L878_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e3) (e0)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (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 (e3) (e0)) = (e0)) -> False).
% 11.48/11.63 do 0 intro. intros zenon_H49 zenon_H2b zenon_H3c zenon_Hb0 zenon_H27 zenon_H5a zenon_Had zenon_H15a zenon_H10b zenon_H1cb zenon_He5 zenon_H1f3 zenon_H222 zenon_H1e zenon_H223 zenon_H68 zenon_H79 zenon_H41 zenon_H148 zenon_H157 zenon_H14f zenon_H106 zenon_Hc8 zenon_H99 zenon_H105 zenon_H30 zenon_H2e zenon_Hb9 zenon_H26b zenon_H20 zenon_H233 zenon_H13a zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H15d zenon_Hc3.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.63 exact (zenon_H2b zenon_H26).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.48/11.63 apply (zenon_L773_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.48/11.63 apply (zenon_L247_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.48/11.63 apply (zenon_L376_); trivial.
% 11.48/11.63 apply (zenon_L790_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.63 apply (zenon_L6_); trivial.
% 11.48/11.63 apply (zenon_L875_); trivial.
% 11.48/11.63 (* end of lemma zenon_L878_ *)
% 11.48/11.63 assert (zenon_L879_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (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 (e3) (e0)) = (e0)) -> False).
% 11.48/11.63 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_H62 zenon_H90 zenon_He3 zenon_Hf0 zenon_H15d zenon_Hc3.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.48/11.63 exact (zenon_H26b zenon_H72).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.48/11.63 apply (zenon_L103_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.48/11.63 apply (zenon_L638_); trivial.
% 11.48/11.63 apply (zenon_L548_); trivial.
% 11.48/11.63 (* end of lemma zenon_L879_ *)
% 11.48/11.63 assert (zenon_L880_ : (((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)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e2)) = (e2))/\(((~((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 (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((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 (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (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 (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.48/11.63 do 0 intro. intros zenon_H12d zenon_H1b8 zenon_H1d8 zenon_H212 zenon_H16a zenon_Hb7 zenon_H10e zenon_H161 zenon_H132 zenon_Hc4 zenon_H167 zenon_H226 zenon_H203 zenon_Hb0 zenon_H222 zenon_Had zenon_H117 zenon_Hcb zenon_H16c zenon_H11b zenon_H106 zenon_Hc8 zenon_He5 zenon_H4c zenon_H13a zenon_H65 zenon_Hb8 zenon_Hb1 zenon_H192 zenon_H41 zenon_H197 zenon_H8d zenon_H105 zenon_H14f zenon_H157 zenon_H1f3 zenon_H44 zenon_Hc0 zenon_H49 zenon_H13f zenon_H69 zenon_H3c zenon_He2 zenon_H34 zenon_Hf3 zenon_H30 zenon_H228 zenon_H22e zenon_H68 zenon_H5c zenon_H5a zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_He3 zenon_Hf0 zenon_H15d zenon_H15a zenon_H1ca zenon_H10b zenon_H79 zenon_H113 zenon_H20 zenon_Hd0 zenon_H61 zenon_H90.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.48/11.63 apply (zenon_L221_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.48/11.63 apply (zenon_L798_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.48/11.63 apply (zenon_L805_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.63 apply (zenon_L160_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.63 apply (zenon_L809_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.63 apply (zenon_L23_); trivial.
% 11.48/11.63 apply (zenon_L875_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.48/11.63 apply (zenon_L326_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.48/11.63 apply (zenon_L61_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.48/11.63 apply (zenon_L391_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.48/11.63 apply (zenon_L505_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.48/11.63 apply (zenon_L59_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.48/11.63 apply (zenon_L291_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.48/11.63 exact (zenon_He2 zenon_He1).
% 11.48/11.63 apply (zenon_L273_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.48/11.63 exact (zenon_H68 zenon_H6c).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.48/11.63 apply (zenon_L21_); trivial.
% 11.48/11.63 apply (zenon_L879_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.48/11.63 apply (zenon_L293_); trivial.
% 11.48/11.63 apply (zenon_L38_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.48/11.63 apply (zenon_L61_); trivial.
% 11.48/11.63 apply (zenon_L127_); trivial.
% 11.48/11.63 (* end of lemma zenon_L880_ *)
% 11.48/11.63 assert (zenon_L881_ : (((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) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.48/11.63 do 0 intro. intros zenon_H44 zenon_H3c zenon_H4f zenon_H34 zenon_H1e zenon_H101 zenon_Hec zenon_H3f zenon_H41.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.63 apply (zenon_L58_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.63 apply (zenon_L8_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.63 apply (zenon_L80_); trivial.
% 11.48/11.63 apply (zenon_L11_); trivial.
% 11.48/11.63 (* end of lemma zenon_L881_ *)
% 11.48/11.63 assert (zenon_L882_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((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 (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> False).
% 11.48/11.63 do 0 intro. intros zenon_H49 zenon_H2b zenon_H79 zenon_H10b zenon_H1f3 zenon_H1ca zenon_H57 zenon_H15a zenon_H157 zenon_H68 zenon_H90 zenon_H14f zenon_H30 zenon_H105 zenon_H65 zenon_H5a zenon_H44 zenon_H4f zenon_H34 zenon_H1e zenon_H3c zenon_H2e zenon_H41.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.63 exact (zenon_H2b zenon_H26).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.63 apply (zenon_L784_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.63 apply (zenon_L23_); trivial.
% 11.48/11.63 apply (zenon_L627_); trivial.
% 11.48/11.63 (* end of lemma zenon_L882_ *)
% 11.48/11.63 assert (zenon_L883_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> False).
% 11.48/11.63 do 0 intro. intros zenon_H49 zenon_H2b zenon_H30 zenon_H105 zenon_H14f zenon_H106 zenon_H1f3 zenon_H1ca zenon_H57 zenon_Hc8 zenon_H5a zenon_H148 zenon_H34 zenon_H233 zenon_H13a zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H6f zenon_Hcb zenon_H1e zenon_H11b zenon_H20 zenon_H79 zenon_H68 zenon_H157 zenon_H10b zenon_H15a zenon_H2e zenon_H65 zenon_H117 zenon_Hfa zenon_H41.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.63 exact (zenon_H2b zenon_H26).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.63 apply (zenon_L784_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.63 apply (zenon_L6_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.48/11.63 apply (zenon_L2_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.48/11.63 apply (zenon_L247_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.48/11.63 apply (zenon_L398_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.48/11.63 apply (zenon_L783_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.48/11.63 exact (zenon_H68 zenon_H6c).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.48/11.63 apply (zenon_L54_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.48/11.63 apply (zenon_L8_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.48/11.63 exact (zenon_H79 zenon_H78).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.48/11.63 apply (zenon_L821_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.48/11.63 apply (zenon_L55_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.48/11.63 apply (zenon_L174_); trivial.
% 11.48/11.63 apply (zenon_L735_); trivial.
% 11.48/11.63 apply (zenon_L609_); trivial.
% 11.48/11.63 (* end of lemma zenon_L883_ *)
% 11.48/11.63 assert (zenon_L884_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (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)))) -> False).
% 11.48/11.63 do 0 intro. intros zenon_H12d zenon_H1e2 zenon_H61 zenon_Hb7 zenon_H3c zenon_H44 zenon_Hfa zenon_Hcb zenon_H1ca zenon_H105 zenon_Hc8 zenon_H14f zenon_H41 zenon_H122 zenon_H106 zenon_H16a zenon_H101 zenon_H4c zenon_H117 zenon_H30 zenon_H157 zenon_H11b zenon_H49 zenon_H2b zenon_H1d8 zenon_Hec zenon_Hb0 zenon_H27 zenon_Had zenon_H15a zenon_H10b zenon_H1cb zenon_He5 zenon_H1f3 zenon_H222 zenon_H1e zenon_H223 zenon_H68 zenon_H79 zenon_H34 zenon_H148 zenon_H65 zenon_H5a zenon_Hb9 zenon_H26b zenon_H20 zenon_H233 zenon_H13a zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H15d.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.48/11.63 apply (zenon_L824_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.63 exact (zenon_H2b zenon_H26).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.63 apply (zenon_L784_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.63 apply (zenon_L23_); trivial.
% 11.48/11.63 apply (zenon_L881_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.48/11.63 apply (zenon_L326_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.63 apply (zenon_L882_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.63 apply (zenon_L623_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.63 apply (zenon_L883_); trivial.
% 11.48/11.63 apply (zenon_L823_); trivial.
% 11.48/11.63 apply (zenon_L127_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.48/11.63 apply (zenon_L785_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.63 exact (zenon_H2b zenon_H26).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.63 apply (zenon_L825_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.63 apply (zenon_L23_); trivial.
% 11.48/11.63 apply (zenon_L875_); trivial.
% 11.48/11.63 (* end of lemma zenon_L884_ *)
% 11.48/11.63 assert (zenon_L885_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (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) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (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) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (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)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((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) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (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))))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.48/11.63 do 0 intro. intros zenon_H1a2 zenon_H187 zenon_H1d8 zenon_H197 zenon_H20 zenon_H30 zenon_H65 zenon_H34 zenon_H161 zenon_H14f zenon_H8d zenon_H226 zenon_Hcb zenon_H117 zenon_H167 zenon_H157 zenon_H15a zenon_H79 zenon_H212 zenon_H1f3 zenon_H105 zenon_H3c zenon_H41 zenon_Hb8 zenon_Hc8 zenon_H113 zenon_H61 zenon_H5c zenon_H26c zenon_H4c zenon_H236 zenon_H13a zenon_Hb9 zenon_H19c zenon_He2 zenon_H192 zenon_Hc0 zenon_Hfa zenon_H122 zenon_H242 zenon_H95 zenon_H263 zenon_H18b zenon_He5 zenon_H251 zenon_H1cb zenon_H1f0 zenon_H148 zenon_Hb0 zenon_H1e2 zenon_H16c zenon_H11b zenon_H1aa zenon_Hc4 zenon_H49 zenon_H92 zenon_H15d zenon_H10e zenon_H16e zenon_Hf3 zenon_Hfb zenon_H203 zenon_H44 zenon_Hb7 zenon_H18f zenon_H1b8 zenon_H106 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H12d zenon_H223 zenon_H101 zenon_H16a zenon_H216 zenon_Had zenon_H222 zenon_H22e zenon_Hf6 zenon_H210 zenon_H1b0 zenon_H194 zenon_He3 zenon_H141 zenon_Hf0 zenon_H27 zenon_H26b zenon_H69 zenon_H1ca zenon_H10b zenon_H228 zenon_H245 zenon_H13f zenon_H90 zenon_H23c zenon_H233.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.48/11.63 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52.
% 11.48/11.63 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6.
% 11.48/11.63 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8.
% 11.48/11.63 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H207 | zenon_intro zenon_H6d ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hb5 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.48/11.63 apply (zenon_L129_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.63 apply (zenon_L129_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.63 apply (zenon_L519_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.63 apply (zenon_L3_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.63 apply (zenon_L211_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.48/11.63 apply (zenon_L3_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.48/11.63 apply (zenon_L637_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.48/11.63 apply (zenon_L862_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.63 apply (zenon_L7_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.63 apply (zenon_L130_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.63 apply (zenon_L13_); trivial.
% 11.48/11.63 apply (zenon_L863_); trivial.
% 11.48/11.63 apply (zenon_L865_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.63 apply (zenon_L3_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.63 apply (zenon_L211_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.48/11.63 apply (zenon_L3_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.48/11.63 apply (zenon_L637_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.48/11.63 apply (zenon_L861_); trivial.
% 11.48/11.63 apply (zenon_L41_); trivial.
% 11.48/11.63 apply (zenon_L865_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.63 apply (zenon_L129_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.63 apply (zenon_L519_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.63 apply (zenon_L3_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.48/11.63 apply (zenon_L3_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.48/11.63 apply (zenon_L742_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.48/11.63 apply (zenon_L108_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.63 apply (zenon_L7_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.63 apply (zenon_L65_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.63 apply (zenon_L9_); trivial.
% 11.48/11.63 apply (zenon_L863_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.63 apply (zenon_L6_); trivial.
% 11.48/11.63 apply (zenon_L750_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.63 apply (zenon_L3_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.48/11.63 apply (zenon_L3_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.48/11.63 apply (zenon_L742_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.48/11.63 apply (zenon_L866_); trivial.
% 11.48/11.63 apply (zenon_L41_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.63 apply (zenon_L6_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.48/11.63 apply (zenon_L3_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.63 apply (zenon_L7_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.48/11.63 apply (zenon_L298_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.48/11.63 exact (zenon_H207 zenon_H10c).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.48/11.63 apply (zenon_L8_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.48/11.63 exact (zenon_H207 zenon_H10c).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.48/11.63 apply (zenon_L742_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.48/11.63 apply (zenon_L867_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.48/11.63 apply (zenon_L164_); trivial.
% 11.48/11.63 apply (zenon_L738_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.48/11.63 apply (zenon_L130_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.48/11.63 apply (zenon_L247_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.48/11.63 apply (zenon_L65_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.48/11.63 apply (zenon_L867_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.48/11.63 apply (zenon_L95_); trivial.
% 11.48/11.63 apply (zenon_L98_); trivial.
% 11.48/11.63 apply (zenon_L146_); trivial.
% 11.48/11.63 apply (zenon_L38_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.63 apply (zenon_L9_); trivial.
% 11.48/11.63 apply (zenon_L636_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.48/11.63 apply (zenon_L752_); trivial.
% 11.48/11.63 apply (zenon_L41_); trivial.
% 11.48/11.63 apply (zenon_L127_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.48/11.63 apply (zenon_L129_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.63 apply (zenon_L129_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.63 apply (zenon_L519_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.63 apply (zenon_L3_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.63 apply (zenon_L211_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.48/11.63 apply (zenon_L3_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.48/11.63 apply (zenon_L637_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.48/11.63 apply (zenon_L862_); trivial.
% 11.48/11.63 apply (zenon_L302_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.48/11.63 apply (zenon_L3_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.63 apply (zenon_L478_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.63 apply (zenon_L130_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.48/11.63 apply (zenon_L298_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.48/11.63 exact (zenon_H207 zenon_H10c).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.48/11.63 apply (zenon_L2_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.48/11.63 exact (zenon_H207 zenon_H10c).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.48/11.63 apply (zenon_L299_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.48/11.63 exact (zenon_H79 zenon_H78).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.48/11.63 apply (zenon_L119_); trivial.
% 11.48/11.63 apply (zenon_L869_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.48/11.63 apply (zenon_L211_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.48/11.63 apply (zenon_L346_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.48/11.63 exact (zenon_H79 zenon_H78).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.48/11.63 apply (zenon_L69_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.48/11.63 apply (zenon_L624_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.48/11.63 apply (zenon_L869_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.48/11.63 exact (zenon_Hcf zenon_Hce).
% 11.48/11.63 apply (zenon_L735_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.48/11.63 apply (zenon_L747_); trivial.
% 11.48/11.63 apply (zenon_L98_); trivial.
% 11.48/11.63 apply (zenon_L758_); trivial.
% 11.48/11.63 apply (zenon_L636_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.48/11.63 apply (zenon_L862_); trivial.
% 11.48/11.63 apply (zenon_L749_); trivial.
% 11.48/11.63 apply (zenon_L196_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.63 apply (zenon_L129_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.63 apply (zenon_L519_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.63 apply (zenon_L3_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.48/11.63 apply (zenon_L3_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.48/11.63 apply (zenon_L742_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.48/11.63 apply (zenon_L870_); trivial.
% 11.48/11.63 apply (zenon_L302_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.63 apply (zenon_L6_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.48/11.63 apply (zenon_L3_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.48/11.63 apply (zenon_L748_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.48/11.63 apply (zenon_L870_); trivial.
% 11.48/11.63 apply (zenon_L749_); trivial.
% 11.48/11.63 apply (zenon_L196_); trivial.
% 11.48/11.63 apply (zenon_L127_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.48/11.63 apply (zenon_L129_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.48/11.63 apply (zenon_L862_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.48/11.63 apply (zenon_L870_); trivial.
% 11.48/11.63 apply (zenon_L127_); trivial.
% 11.48/11.63 apply (zenon_L519_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.48/11.63 apply (zenon_L759_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.48/11.63 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133.
% 11.48/11.63 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134.
% 11.48/11.63 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136.
% 11.48/11.63 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H139. zenon_intro zenon_H138.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.48/11.63 apply (zenon_L129_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.63 apply (zenon_L129_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.63 apply (zenon_L519_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.63 exact (zenon_H2b zenon_H26).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.63 apply (zenon_L211_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.63 apply (zenon_L23_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.48/11.63 exact (zenon_H2b zenon_H26).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.63 apply (zenon_L7_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.63 apply (zenon_L763_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.48/11.63 apply (zenon_L31_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.48/11.63 exact (zenon_H79 zenon_H78).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.48/11.63 apply (zenon_L119_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.48/11.63 apply (zenon_L874_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.48/11.63 apply (zenon_L391_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.48/11.63 apply (zenon_L505_); trivial.
% 11.48/11.63 apply (zenon_L868_); trivial.
% 11.48/11.63 apply (zenon_L11_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.48/11.63 apply (zenon_L108_); trivial.
% 11.48/11.63 apply (zenon_L769_); trivial.
% 11.48/11.63 apply (zenon_L773_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.48/11.63 apply (zenon_L874_); trivial.
% 11.48/11.63 apply (zenon_L127_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.48/11.63 apply (zenon_L129_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.48/11.63 apply (zenon_L2_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.63 apply (zenon_L129_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.63 apply (zenon_L519_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.63 exact (zenon_H2b zenon_H26).
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.63 apply (zenon_L7_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.63 apply (zenon_L8_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.63 apply (zenon_L9_); trivial.
% 11.48/11.63 apply (zenon_L872_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.63 apply (zenon_L6_); trivial.
% 11.48/11.63 apply (zenon_L770_); trivial.
% 11.48/11.63 apply (zenon_L777_); trivial.
% 11.48/11.63 apply (zenon_L127_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.48/11.63 apply (zenon_L787_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.48/11.63 apply (zenon_L785_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.48/11.63 apply (zenon_L876_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.48/11.63 apply (zenon_L2_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.63 apply (zenon_L876_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.63 apply (zenon_L623_); trivial.
% 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.64 apply (zenon_L877_); trivial.
% 11.48/11.64 apply (zenon_L878_); trivial.
% 11.48/11.64 apply (zenon_L127_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.48/11.64 apply (zenon_L880_); trivial.
% 11.48/11.64 exact (zenon_H26b zenon_H72).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.48/11.64 apply (zenon_L129_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.48/11.64 apply (zenon_L814_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.64 apply (zenon_L129_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.64 apply (zenon_L819_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.64 exact (zenon_H2b zenon_H26).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.48/11.64 exact (zenon_H2b zenon_H26).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.48/11.64 apply (zenon_L812_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.48/11.64 apply (zenon_L108_); trivial.
% 11.48/11.64 apply (zenon_L873_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.64 apply (zenon_L6_); trivial.
% 11.48/11.64 apply (zenon_L770_); trivial.
% 11.48/11.64 apply (zenon_L820_); trivial.
% 11.48/11.64 apply (zenon_L127_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.48/11.64 apply (zenon_L884_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.48/11.64 apply (zenon_L827_); trivial.
% 11.48/11.64 exact (zenon_H26b zenon_H72).
% 11.48/11.64 apply (zenon_L391_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ].
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ].
% 11.48/11.64 apply (zenon_L880_); trivial.
% 11.48/11.64 apply (zenon_L827_); trivial.
% 11.48/11.64 apply (zenon_L391_); trivial.
% 11.48/11.64 apply (zenon_L456_); trivial.
% 11.48/11.64 (* end of lemma zenon_L885_ *)
% 11.48/11.64 assert (zenon_L886_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.48/11.64 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_H62 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H117 zenon_H26a zenon_H16e zenon_H40.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.48/11.64 exact (zenon_H26b zenon_H72).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.48/11.64 apply (zenon_L103_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.48/11.64 apply (zenon_L638_); trivial.
% 11.48/11.64 apply (zenon_L831_); trivial.
% 11.48/11.64 (* end of lemma zenon_L886_ *)
% 11.48/11.64 assert (zenon_L887_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e3)) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H69 zenon_H41 zenon_H75 zenon_He0 zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H117 zenon_H26a zenon_H16e zenon_H40.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.48/11.64 apply (zenon_L31_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.48/11.64 apply (zenon_L346_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.48/11.64 apply (zenon_L347_); trivial.
% 11.48/11.64 apply (zenon_L886_); trivial.
% 11.48/11.64 (* end of lemma zenon_L887_ *)
% 11.48/11.64 assert (zenon_L888_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H113 zenon_H25 zenon_H187 zenon_H207 zenon_H40 zenon_H61 zenon_H34 zenon_H79 zenon_H69 zenon_H41 zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H117 zenon_H26a zenon_H16e zenon_H8d zenon_H90 zenon_H20.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.48/11.64 apply (zenon_L298_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.48/11.64 exact (zenon_H207 zenon_H10c).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.48/11.64 apply (zenon_L887_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.48/11.64 exact (zenon_H79 zenon_H78).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.48/11.64 apply (zenon_L69_); trivial.
% 11.48/11.64 apply (zenon_L634_); trivial.
% 11.48/11.64 apply (zenon_L38_); trivial.
% 11.48/11.64 (* end of lemma zenon_L888_ *)
% 11.48/11.64 assert (zenon_L889_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H44 zenon_H3c zenon_H1f zenon_H2f zenon_H113 zenon_H25 zenon_H187 zenon_H207 zenon_H61 zenon_H34 zenon_H79 zenon_H69 zenon_H41 zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H117 zenon_H26a zenon_H16e zenon_H8d zenon_H90 zenon_H20.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.64 apply (zenon_L7_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.64 apply (zenon_L130_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.64 apply (zenon_L13_); trivial.
% 11.48/11.64 apply (zenon_L888_); trivial.
% 11.48/11.64 (* end of lemma zenon_L889_ *)
% 11.48/11.64 assert (zenon_L890_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 11.48/11.64 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H34 zenon_H233 zenon_H13a zenon_H3f zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H26a zenon_H117 zenon_H8b.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.48/11.64 exact (zenon_H26b zenon_H72).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.48/11.64 apply (zenon_L36_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.48/11.64 apply (zenon_L735_); trivial.
% 11.48/11.64 apply (zenon_L838_); trivial.
% 11.48/11.64 (* end of lemma zenon_L890_ *)
% 11.48/11.64 assert (zenon_L891_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (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))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H113 zenon_H25 zenon_H187 zenon_H207 zenon_H117 zenon_H26a zenon_He3 zenon_H194 zenon_Hf0 zenon_H141 zenon_H3f zenon_H13a zenon_H233 zenon_H34 zenon_H26b zenon_Hb9 zenon_H79 zenon_H15e zenon_H212 zenon_H8d zenon_H90 zenon_H20.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.48/11.64 apply (zenon_L298_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.48/11.64 exact (zenon_H207 zenon_H10c).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.48/11.64 apply (zenon_L299_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.48/11.64 exact (zenon_H79 zenon_H78).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.48/11.64 apply (zenon_L69_); trivial.
% 11.48/11.64 apply (zenon_L890_); trivial.
% 11.48/11.64 apply (zenon_L38_); trivial.
% 11.48/11.64 (* end of lemma zenon_L891_ *)
% 11.48/11.64 assert (zenon_L892_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (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 (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> False).
% 11.48/11.64 do 0 intro. intros zenon_Hb8 zenon_H8d zenon_H212 zenon_H79 zenon_Hb9 zenon_H26b zenon_H233 zenon_H13a zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H26a zenon_H117 zenon_H187 zenon_H30 zenon_H161 zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H27 zenon_H61 zenon_H3f zenon_H207 zenon_H34 zenon_H113 zenon_H3c zenon_H6f zenon_H41.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.48/11.64 apply (zenon_L3_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.48/11.64 apply (zenon_L7_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.48/11.64 apply (zenon_L31_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.48/11.64 apply (zenon_L136_); trivial.
% 11.48/11.64 apply (zenon_L891_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.48/11.64 apply (zenon_L108_); trivial.
% 11.48/11.64 apply (zenon_L749_); trivial.
% 11.48/11.64 (* end of lemma zenon_L892_ *)
% 11.48/11.64 assert (zenon_L893_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H8d zenon_H6c zenon_H79 zenon_He0 zenon_Hb9 zenon_H26b zenon_H34 zenon_H233 zenon_H13a zenon_H3f zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H26a zenon_H117.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.48/11.64 apply (zenon_L346_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.48/11.64 exact (zenon_H79 zenon_H78).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.48/11.64 apply (zenon_L69_); trivial.
% 11.48/11.64 apply (zenon_L890_); trivial.
% 11.48/11.64 (* end of lemma zenon_L893_ *)
% 11.48/11.64 assert (zenon_L894_ : (((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) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e1)) = (e2)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e0)) -> False).
% 11.48/11.64 do 0 intro. intros zenon_Hfb zenon_H1b8 zenon_H25 zenon_H117 zenon_H26a zenon_H90 zenon_He3 zenon_H194 zenon_Hf0 zenon_H141 zenon_H3f zenon_H13a zenon_H233 zenon_H34 zenon_H26b zenon_Hb9 zenon_H79 zenon_H6c zenon_H8d zenon_Hcf zenon_H1d8 zenon_H120.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.48/11.64 apply (zenon_L221_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.48/11.64 apply (zenon_L893_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.48/11.64 exact (zenon_Hcf zenon_Hce).
% 11.48/11.64 apply (zenon_L254_); trivial.
% 11.48/11.64 (* end of lemma zenon_L894_ *)
% 11.48/11.64 assert (zenon_L895_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e3)) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H69 zenon_H41 zenon_H75 zenon_H120 zenon_H1d8 zenon_Hcf zenon_H8d zenon_H79 zenon_Hb9 zenon_H26b zenon_H34 zenon_H233 zenon_H13a zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H26a zenon_H117 zenon_H25 zenon_H1b8 zenon_Hfb zenon_H27 zenon_He0 zenon_H61 zenon_H3f.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.48/11.64 apply (zenon_L31_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.48/11.64 apply (zenon_L894_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.48/11.64 apply (zenon_L347_); trivial.
% 11.48/11.64 apply (zenon_L22_); trivial.
% 11.48/11.64 (* end of lemma zenon_L895_ *)
% 11.48/11.64 assert (zenon_L896_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H69 zenon_H41 zenon_H75 zenon_H2c zenon_H10b zenon_He0 zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H117 zenon_H26a zenon_H16e zenon_H40.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.48/11.64 apply (zenon_L31_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.48/11.64 apply (zenon_L353_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.48/11.64 apply (zenon_L347_); trivial.
% 11.48/11.64 apply (zenon_L886_); trivial.
% 11.48/11.64 (* end of lemma zenon_L896_ *)
% 11.48/11.64 assert (zenon_L897_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H113 zenon_H25 zenon_H187 zenon_H207 zenon_H40 zenon_H61 zenon_H34 zenon_H79 zenon_H69 zenon_H41 zenon_H2c zenon_H10b zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H117 zenon_H26a zenon_H16e zenon_H8d zenon_H90 zenon_H20.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.48/11.64 apply (zenon_L298_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.48/11.64 exact (zenon_H207 zenon_H10c).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.48/11.64 apply (zenon_L896_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.48/11.64 exact (zenon_H79 zenon_H78).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.48/11.64 apply (zenon_L69_); trivial.
% 11.48/11.64 apply (zenon_L634_); trivial.
% 11.48/11.64 apply (zenon_L38_); trivial.
% 11.48/11.64 (* end of lemma zenon_L897_ *)
% 11.48/11.64 assert (zenon_L898_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H44 zenon_H3c zenon_H2e zenon_H113 zenon_H25 zenon_H187 zenon_H207 zenon_H61 zenon_H34 zenon_H79 zenon_H69 zenon_H41 zenon_H2c zenon_H10b zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H117 zenon_H26a zenon_H16e zenon_H8d zenon_H90 zenon_H20.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.64 apply (zenon_L7_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.64 apply (zenon_L65_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.64 apply (zenon_L9_); trivial.
% 11.48/11.64 apply (zenon_L897_); trivial.
% 11.48/11.64 (* end of lemma zenon_L898_ *)
% 11.48/11.64 assert (zenon_L899_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (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 (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (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 (e0) (e1)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> False).
% 11.48/11.64 do 0 intro. intros zenon_Hb7 zenon_H23c zenon_H49 zenon_H30 zenon_H16e zenon_H26a zenon_H117 zenon_He3 zenon_H194 zenon_Hf0 zenon_H141 zenon_H233 zenon_H26b zenon_Hb9 zenon_H1f zenon_H44 zenon_H161 zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H16c zenon_H27 zenon_H61 zenon_H207 zenon_H34 zenon_H113 zenon_H41 zenon_Hb5 zenon_H3c.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.64 apply (zenon_L129_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.64 apply (zenon_L519_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.64 apply (zenon_L108_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.64 apply (zenon_L3_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.64 apply (zenon_L211_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.64 apply (zenon_L7_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.64 apply (zenon_L130_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.64 apply (zenon_L13_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.48/11.64 apply (zenon_L7_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.48/11.64 apply (zenon_L118_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.48/11.64 exact (zenon_H207 zenon_H10c).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.48/11.64 apply (zenon_L887_); trivial.
% 11.48/11.64 apply (zenon_L38_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.48/11.64 apply (zenon_L233_); trivial.
% 11.48/11.64 apply (zenon_L196_); trivial.
% 11.48/11.64 apply (zenon_L752_); trivial.
% 11.48/11.64 (* end of lemma zenon_L899_ *)
% 11.48/11.64 assert (zenon_L900_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (((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 (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H44 zenon_H2e zenon_H161 zenon_H69 zenon_H2c zenon_H10b zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H117 zenon_H26a zenon_H16e zenon_H207 zenon_H34 zenon_H113 zenon_H41 zenon_Hb7 zenon_H20 zenon_H25 zenon_H23c zenon_H90 zenon_Hb5 zenon_H30 zenon_H3c.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.64 apply (zenon_L7_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.64 apply (zenon_L65_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.64 apply (zenon_L9_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.48/11.64 apply (zenon_L7_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.48/11.64 apply (zenon_L118_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.48/11.64 exact (zenon_H207 zenon_H10c).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.48/11.64 apply (zenon_L896_); trivial.
% 11.48/11.64 apply (zenon_L38_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.48/11.64 apply (zenon_L233_); trivial.
% 11.48/11.64 apply (zenon_L739_); trivial.
% 11.48/11.64 (* end of lemma zenon_L900_ *)
% 11.48/11.64 assert (zenon_L901_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (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 (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (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 (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H49 zenon_H1aa zenon_H23c zenon_Hb7 zenon_H16e zenon_H26a zenon_H117 zenon_He3 zenon_H194 zenon_Hf0 zenon_H141 zenon_H233 zenon_H26b zenon_Hb9 zenon_H10b zenon_H44 zenon_H30 zenon_H2e zenon_H161 zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H16c zenon_H27 zenon_H61 zenon_H207 zenon_H34 zenon_H113 zenon_H41 zenon_Hb5 zenon_H3c.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.64 apply (zenon_L129_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.64 apply (zenon_L519_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.64 apply (zenon_L108_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.64 apply (zenon_L208_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.64 apply (zenon_L900_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.64 apply (zenon_L6_); trivial.
% 11.48/11.64 apply (zenon_L752_); trivial.
% 11.48/11.64 (* end of lemma zenon_L901_ *)
% 11.48/11.64 assert (zenon_L902_ : (((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 (e2) (e1)))) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((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))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.48/11.64 do 0 intro. intros zenon_Hf3 zenon_H3c zenon_H79 zenon_H157 zenon_H58 zenon_H15a zenon_H5a zenon_H1f0 zenon_H233 zenon_He5 zenon_H15d zenon_Hf0 zenon_H30 zenon_Hc5 zenon_H68 zenon_H39 zenon_H41 zenon_H106 zenon_Hf6 zenon_H16a zenon_H1e2 zenon_H25 zenon_H1df zenon_H2e zenon_H101 zenon_H141 zenon_H90.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.48/11.64 apply (zenon_L65_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.48/11.64 exact (zenon_H68 zenon_H6c).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.48/11.64 apply (zenon_L95_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.48/11.64 apply (zenon_L9_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.48/11.64 apply (zenon_L366_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.48/11.64 apply (zenon_L70_); trivial.
% 11.48/11.64 apply (zenon_L815_); trivial.
% 11.48/11.64 (* end of lemma zenon_L902_ *)
% 11.48/11.64 assert (zenon_L903_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((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) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H11b zenon_Hcb zenon_H226 zenon_H167 zenon_H212 zenon_H8d zenon_H157 zenon_H14f zenon_H105 zenon_H34 zenon_H161 zenon_H141 zenon_H101 zenon_H2e zenon_H1df zenon_H25 zenon_H1e2 zenon_Ha4 zenon_H16a zenon_Hf6 zenon_H106 zenon_H41 zenon_H39 zenon_H68 zenon_H30 zenon_Hf0 zenon_H15d zenon_He5 zenon_H233 zenon_H1f0 zenon_H5a zenon_H15a zenon_H58 zenon_He6 zenon_H1f3 zenon_H79 zenon_H3c zenon_Hf3 zenon_H152 zenon_Hcc zenon_H117 zenon_H90.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.48/11.64 apply (zenon_L763_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.48/11.64 apply (zenon_L9_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.48/11.64 apply (zenon_L404_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.48/11.64 apply (zenon_L70_); trivial.
% 11.48/11.64 apply (zenon_L815_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.48/11.64 apply (zenon_L242_); trivial.
% 11.48/11.64 apply (zenon_L96_); trivial.
% 11.48/11.64 (* end of lemma zenon_L903_ *)
% 11.48/11.64 assert (zenon_L904_ : (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((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) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (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) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 11.48/11.64 do 0 intro. intros zenon_Hb1 zenon_H26a zenon_Hf0 zenon_He3 zenon_H141 zenon_H233 zenon_H13a zenon_H197 zenon_H27 zenon_H11b zenon_H34 zenon_H161 zenon_H101 zenon_H2e zenon_H1df zenon_H25 zenon_H1e2 zenon_H16a zenon_Hf6 zenon_H106 zenon_H30 zenon_H15d zenon_He5 zenon_H1f0 zenon_Hf3 zenon_H1aa zenon_Hfa zenon_Hc8 zenon_H6d zenon_H1ca zenon_H16c zenon_H105 zenon_H3c zenon_H14f zenon_H90 zenon_H157 zenon_H8d zenon_H212 zenon_H79 zenon_H68 zenon_H1f3 zenon_H58 zenon_H15a zenon_H167 zenon_H226 zenon_H39 zenon_Hcb zenon_H41 zenon_H5a zenon_H117.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.48/11.64 apply (zenon_L7_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.48/11.64 apply (zenon_L31_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.48/11.64 apply (zenon_L760_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.48/11.64 apply (zenon_L459_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.48/11.64 apply (zenon_L902_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.48/11.64 apply (zenon_L65_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.48/11.64 exact (zenon_H68 zenon_H6c).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.48/11.64 apply (zenon_L54_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.48/11.64 apply (zenon_L624_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.48/11.64 apply (zenon_L903_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.48/11.64 apply (zenon_L56_); trivial.
% 11.48/11.64 apply (zenon_L848_); trivial.
% 11.48/11.64 apply (zenon_L762_); trivial.
% 11.48/11.64 (* end of lemma zenon_L904_ *)
% 11.48/11.64 assert (zenon_L905_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H69 zenon_H41 zenon_H75 zenon_H68 zenon_H5c zenon_H5a zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H117 zenon_H26a zenon_H16e zenon_H40.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.48/11.64 apply (zenon_L31_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.48/11.64 exact (zenon_H68 zenon_H6c).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.48/11.64 apply (zenon_L21_); trivial.
% 11.48/11.64 apply (zenon_L886_); trivial.
% 11.48/11.64 (* end of lemma zenon_L905_ *)
% 11.48/11.64 assert (zenon_L906_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H69 zenon_H61 zenon_H15a zenon_Hc5 zenon_H157 zenon_H79 zenon_H41 zenon_H8d zenon_H68 zenon_H5c zenon_H5a zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H117 zenon_H26a zenon_H16e zenon_H40.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.48/11.64 apply (zenon_L771_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.48/11.64 exact (zenon_H68 zenon_H6c).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.48/11.64 apply (zenon_L21_); trivial.
% 11.48/11.64 apply (zenon_L886_); trivial.
% 11.48/11.64 (* end of lemma zenon_L906_ *)
% 11.48/11.64 assert (zenon_L907_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H105 zenon_H30 zenon_Hcb zenon_H152 zenon_H3c zenon_H11b zenon_H14f zenon_H157 zenon_H69 zenon_H61 zenon_H15a zenon_H1f3 zenon_H79 zenon_H41 zenon_H8d zenon_H68 zenon_H5c zenon_H5a zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H117 zenon_H26a zenon_H16e zenon_H40.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.48/11.64 apply (zenon_L764_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.48/11.64 apply (zenon_L247_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.48/11.64 apply (zenon_L906_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.48/11.64 apply (zenon_L765_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.48/11.64 exact (zenon_H68 zenon_H6c).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.48/11.64 apply (zenon_L21_); trivial.
% 11.48/11.64 apply (zenon_L886_); trivial.
% 11.48/11.64 (* end of lemma zenon_L907_ *)
% 11.48/11.64 assert (zenon_L908_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((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) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e2)) = (e2))/\(((~((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) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((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) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> False).
% 11.48/11.64 do 0 intro. intros zenon_Hb7 zenon_H20 zenon_H16c zenon_H1ca zenon_Hfa zenon_H1aa zenon_Hf3 zenon_H1f0 zenon_Hf6 zenon_H1e2 zenon_H1df zenon_H101 zenon_H11b zenon_H197 zenon_H13a zenon_H69 zenon_H5c zenon_H161 zenon_H117 zenon_Hcb zenon_H226 zenon_H167 zenon_H1f3 zenon_H212 zenon_H65 zenon_Hb1 zenon_Had zenon_H222 zenon_Hb0 zenon_H132 zenon_H16e zenon_H26a zenon_He3 zenon_H194 zenon_H141 zenon_H27 zenon_H26b zenon_Hb9 zenon_H49 zenon_Hc0 zenon_H61 zenon_H15a zenon_H157 zenon_H79 zenon_H8d zenon_H2b zenon_Hb8 zenon_H44 zenon_H34 zenon_H25 zenon_H16a zenon_H106 zenon_H68 zenon_H30 zenon_Hf0 zenon_H15d zenon_He5 zenon_H233 zenon_H90 zenon_H14f zenon_Hc8 zenon_H5a zenon_H105 zenon_H3c zenon_H2e zenon_H41.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.64 apply (zenon_L129_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.64 exact (zenon_H2b zenon_H26).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.48/11.64 exact (zenon_H2b zenon_H26).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.64 apply (zenon_L7_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.64 apply (zenon_L904_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.64 apply (zenon_L9_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.48/11.64 apply (zenon_L7_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.48/11.64 apply (zenon_L905_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.48/11.64 apply (zenon_L907_); trivial.
% 11.48/11.64 apply (zenon_L493_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.48/11.64 apply (zenon_L50_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.64 apply (zenon_L7_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.64 apply (zenon_L846_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.64 apply (zenon_L9_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.48/11.64 apply (zenon_L7_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.48/11.64 apply (zenon_L123_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.48/11.64 apply (zenon_L907_); trivial.
% 11.48/11.64 apply (zenon_L302_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.64 apply (zenon_L6_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.48/11.64 exact (zenon_H2b zenon_H26).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.64 apply (zenon_L7_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.64 apply (zenon_L904_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.64 apply (zenon_L9_); trivial.
% 11.48/11.64 apply (zenon_L11_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.48/11.64 apply (zenon_L553_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.64 apply (zenon_L7_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.64 apply (zenon_L846_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.64 apply (zenon_L9_); trivial.
% 11.48/11.64 apply (zenon_L11_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.64 exact (zenon_H2b zenon_H26).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.48/11.64 exact (zenon_H2b zenon_H26).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.64 apply (zenon_L7_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.64 apply (zenon_L763_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.64 apply (zenon_L9_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.48/11.64 apply (zenon_L7_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.48/11.64 apply (zenon_L905_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.48/11.64 apply (zenon_L136_); trivial.
% 11.48/11.64 apply (zenon_L493_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.48/11.64 apply (zenon_L50_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.64 apply (zenon_L7_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.64 apply (zenon_L846_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.64 apply (zenon_L9_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.48/11.64 apply (zenon_L7_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.48/11.64 apply (zenon_L905_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.48/11.64 apply (zenon_L136_); trivial.
% 11.48/11.64 apply (zenon_L302_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.64 apply (zenon_L23_); trivial.
% 11.48/11.64 apply (zenon_L770_); trivial.
% 11.48/11.64 apply (zenon_L777_); trivial.
% 11.48/11.64 (* end of lemma zenon_L908_ *)
% 11.48/11.64 assert (zenon_L909_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 11.48/11.64 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H3b zenon_H13f zenon_H5a zenon_H5c zenon_H125 zenon_H1d9 zenon_H228 zenon_H245 zenon_Hb1 zenon_Hf0 zenon_H141 zenon_H233 zenon_H13a zenon_H197 zenon_H194 zenon_He3 zenon_H90 zenon_H26a zenon_H117 zenon_H8b.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.48/11.64 exact (zenon_H26b zenon_H72).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.48/11.64 apply (zenon_L513_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.48/11.64 apply (zenon_L848_); trivial.
% 11.48/11.64 apply (zenon_L838_); trivial.
% 11.48/11.64 (* end of lemma zenon_L909_ *)
% 11.48/11.64 assert (zenon_L910_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H69 zenon_H41 zenon_H75 zenon_H68 zenon_H27 zenon_He0 zenon_H61 zenon_H3f.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.48/11.64 apply (zenon_L31_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.48/11.64 exact (zenon_H68 zenon_H6c).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.48/11.64 apply (zenon_L347_); trivial.
% 11.48/11.64 apply (zenon_L22_); trivial.
% 11.48/11.64 (* end of lemma zenon_L910_ *)
% 11.48/11.64 assert (zenon_L911_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.48/11.64 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H14f zenon_H10c zenon_Hb1 zenon_H26a zenon_Hf0 zenon_He3 zenon_H90 zenon_H141 zenon_H13a zenon_H197 zenon_H251 zenon_H1e2 zenon_H33 zenon_H16a zenon_Ha4 zenon_H15d zenon_H1df zenon_H125 zenon_H89 zenon_H233.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.48/11.64 exact (zenon_H26b zenon_H72).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.48/11.64 apply (zenon_L135_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.48/11.64 apply (zenon_L848_); trivial.
% 11.48/11.64 apply (zenon_L720_); trivial.
% 11.48/11.64 (* end of lemma zenon_L911_ *)
% 11.48/11.64 assert (zenon_L912_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (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) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (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 (e3) (e3)) = (e2))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e3))) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H22e zenon_H20 zenon_H228 zenon_H6f zenon_Hc0 zenon_Hf3 zenon_H34 zenon_Hd0 zenon_H233 zenon_H125 zenon_H1df zenon_H15d zenon_Ha4 zenon_H16a zenon_H33 zenon_H1e2 zenon_H251 zenon_H197 zenon_H13a zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H26a zenon_Hb1 zenon_H10c zenon_H14f zenon_H26b zenon_Hb9 zenon_H41 zenon_H5a zenon_H3c.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.48/11.64 apply (zenon_L61_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.48/11.64 apply (zenon_L391_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.48/11.64 apply (zenon_L640_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.48/11.64 apply (zenon_L59_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.48/11.64 apply (zenon_L911_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.48/11.64 apply (zenon_L70_); trivial.
% 11.48/11.64 apply (zenon_L273_); trivial.
% 11.48/11.64 (* end of lemma zenon_L912_ *)
% 11.48/11.64 assert (zenon_L913_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H106 zenon_H68 zenon_Hc8 zenon_H132 zenon_H11b zenon_H3c zenon_H41 zenon_Hb9 zenon_H26b zenon_H14f zenon_H10c zenon_Hb1 zenon_H26a zenon_Hf0 zenon_He3 zenon_H141 zenon_H13a zenon_H197 zenon_H251 zenon_H1e2 zenon_H33 zenon_H16a zenon_H15d zenon_H1df zenon_H125 zenon_H233 zenon_Hd0 zenon_H34 zenon_Hf3 zenon_Hc0 zenon_H228 zenon_H20 zenon_H22e zenon_H1f zenon_Hcb zenon_H5a zenon_H30 zenon_H117 zenon_H90.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.48/11.64 apply (zenon_L211_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.48/11.64 exact (zenon_H68 zenon_H6c).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.48/11.64 apply (zenon_L801_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.48/11.64 apply (zenon_L912_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.48/11.64 apply (zenon_L330_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.48/11.64 apply (zenon_L505_); trivial.
% 11.48/11.64 apply (zenon_L96_); trivial.
% 11.48/11.64 (* end of lemma zenon_L913_ *)
% 11.48/11.64 assert (zenon_L914_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (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) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (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 (e3) (e3)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e3))) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H106 zenon_H1f zenon_H68 zenon_Hcc zenon_H27 zenon_H22e zenon_H20 zenon_H228 zenon_H30 zenon_Hf3 zenon_H34 zenon_Hd0 zenon_H233 zenon_H125 zenon_H1df zenon_H15d zenon_H16a zenon_H33 zenon_H1e2 zenon_H251 zenon_H197 zenon_H13a zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H26a zenon_Hb1 zenon_H23c zenon_H57 zenon_H26b zenon_Hb9 zenon_H41 zenon_H5a zenon_H3c.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.48/11.64 apply (zenon_L211_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.48/11.64 exact (zenon_H68 zenon_H6c).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.48/11.64 apply (zenon_L164_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.48/11.64 apply (zenon_L61_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.48/11.64 apply (zenon_L391_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.48/11.64 apply (zenon_L505_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.48/11.64 apply (zenon_L59_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.48/11.64 exact (zenon_H26b zenon_H72).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.48/11.64 apply (zenon_L479_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.48/11.64 apply (zenon_L848_); trivial.
% 11.48/11.64 apply (zenon_L720_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.48/11.64 apply (zenon_L70_); trivial.
% 11.48/11.64 apply (zenon_L273_); trivial.
% 11.48/11.64 (* end of lemma zenon_L914_ *)
% 11.48/11.64 assert (zenon_L915_ : (((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)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H106 zenon_H30 zenon_H1f zenon_H68 zenon_Hc8 zenon_H5a zenon_H120 zenon_H27.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.48/11.64 apply (zenon_L211_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.48/11.64 exact (zenon_H68 zenon_H6c).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.48/11.64 apply (zenon_L54_); trivial.
% 11.48/11.64 apply (zenon_L98_); trivial.
% 11.48/11.64 (* end of lemma zenon_L915_ *)
% 11.48/11.64 assert (zenon_L916_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (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) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (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 (e3) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e2)) = (e2))/\(((~((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 (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H113 zenon_H27 zenon_H23c zenon_H203 zenon_H117 zenon_H30 zenon_H5a zenon_Hcb zenon_H1f zenon_H22e zenon_H228 zenon_Hc0 zenon_Hf3 zenon_H34 zenon_H233 zenon_H125 zenon_H1df zenon_H15d zenon_H16a zenon_H33 zenon_H1e2 zenon_H251 zenon_H197 zenon_H13a zenon_H141 zenon_He3 zenon_Hf0 zenon_H26a zenon_Hb1 zenon_H14f zenon_H26b zenon_Hb9 zenon_H41 zenon_H3c zenon_H11b zenon_H132 zenon_Hc8 zenon_H68 zenon_H106 zenon_Hd0 zenon_H13f zenon_H90 zenon_H20.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.48/11.64 apply (zenon_L2_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.48/11.64 apply (zenon_L913_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.48/11.64 apply (zenon_L914_); trivial.
% 11.48/11.64 apply (zenon_L915_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.48/11.64 apply (zenon_L913_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.48/11.64 apply (zenon_L293_); trivial.
% 11.48/11.64 apply (zenon_L38_); trivial.
% 11.48/11.64 (* end of lemma zenon_L916_ *)
% 11.48/11.64 assert (zenon_L917_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H44 zenon_H20 zenon_H90 zenon_H13f zenon_H106 zenon_H68 zenon_Hc8 zenon_H132 zenon_H11b zenon_Hb9 zenon_H26b zenon_H14f zenon_Hb1 zenon_H26a zenon_Hf0 zenon_He3 zenon_H141 zenon_H13a zenon_H197 zenon_H251 zenon_H1e2 zenon_H16a zenon_H15d zenon_H1df zenon_H125 zenon_H233 zenon_Hf3 zenon_Hc0 zenon_H228 zenon_H22e zenon_Hcb zenon_H5a zenon_H30 zenon_H117 zenon_H203 zenon_H23c zenon_H27 zenon_H113 zenon_H3c zenon_H1f zenon_H34 zenon_Hd0 zenon_H3f zenon_H41.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.64 apply (zenon_L916_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.64 apply (zenon_L130_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.64 apply (zenon_L59_); trivial.
% 11.48/11.64 apply (zenon_L11_); trivial.
% 11.48/11.64 (* end of lemma zenon_L917_ *)
% 11.48/11.64 assert (zenon_L918_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H49 zenon_H4f zenon_H65 zenon_H44 zenon_H20 zenon_H90 zenon_H13f zenon_H106 zenon_H68 zenon_Hc8 zenon_H132 zenon_H11b zenon_Hb9 zenon_H26b zenon_H14f zenon_Hb1 zenon_H26a zenon_Hf0 zenon_He3 zenon_H141 zenon_H13a zenon_H197 zenon_H251 zenon_H1e2 zenon_H16a zenon_H15d zenon_H1df zenon_H125 zenon_H233 zenon_Hf3 zenon_Hc0 zenon_H228 zenon_H22e zenon_Hcb zenon_H5a zenon_H30 zenon_H117 zenon_H203 zenon_H23c zenon_H27 zenon_H113 zenon_H3c zenon_H1f zenon_H34 zenon_Hd0 zenon_H41.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.64 apply (zenon_L160_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.64 apply (zenon_L211_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.64 apply (zenon_L23_); trivial.
% 11.48/11.64 apply (zenon_L917_); trivial.
% 11.48/11.64 (* end of lemma zenon_L918_ *)
% 11.48/11.64 assert (zenon_L919_ : (((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 (e1) (e2)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H1db zenon_Hd0 zenon_H101 zenon_H88 zenon_H5a zenon_Had zenon_H89 zenon_H125.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1dc ].
% 11.48/11.64 apply (zenon_L416_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1dd ].
% 11.48/11.64 apply (zenon_L393_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hae | zenon_intro zenon_Hec ].
% 11.48/11.64 apply (zenon_L46_); trivial.
% 11.48/11.64 apply (zenon_L101_); trivial.
% 11.48/11.64 (* end of lemma zenon_L919_ *)
% 11.48/11.64 assert (zenon_L920_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H22e zenon_H20 zenon_H125 zenon_H89 zenon_Had zenon_H101 zenon_Hd0 zenon_H1db zenon_H5a zenon_H30 zenon_H1d8 zenon_He6.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.48/11.64 apply (zenon_L61_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.48/11.64 apply (zenon_L919_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.48/11.64 apply (zenon_L505_); trivial.
% 11.48/11.64 apply (zenon_L255_); trivial.
% 11.48/11.64 (* end of lemma zenon_L920_ *)
% 11.48/11.64 assert (zenon_L921_ : (((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 (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((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 (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((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)))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H8d zenon_H212 zenon_H79 zenon_He6 zenon_H1d8 zenon_H30 zenon_H1db zenon_Hd0 zenon_H101 zenon_Had zenon_H125 zenon_H20 zenon_H22e zenon_H167 zenon_H226 zenon_H15e zenon_H39 zenon_Hcb zenon_H41 zenon_H5a zenon_H117.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.48/11.64 apply (zenon_L299_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.48/11.64 exact (zenon_H79 zenon_H78).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.48/11.64 apply (zenon_L920_); trivial.
% 11.48/11.64 apply (zenon_L744_); trivial.
% 11.48/11.64 (* end of lemma zenon_L921_ *)
% 11.48/11.64 assert (zenon_L922_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (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 (e3) (e1)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((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 (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((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)))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H105 zenon_H3c zenon_H14f zenon_H90 zenon_H15a zenon_H58 zenon_H157 zenon_H68 zenon_H8d zenon_H212 zenon_H79 zenon_H1d8 zenon_H30 zenon_H1db zenon_Hd0 zenon_H101 zenon_Had zenon_H125 zenon_H20 zenon_H22e zenon_H167 zenon_H226 zenon_H15e zenon_H39 zenon_Hcb zenon_H41 zenon_H5a zenon_H117.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.48/11.64 apply (zenon_L130_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.48/11.64 apply (zenon_L247_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.48/11.64 apply (zenon_L761_); trivial.
% 11.48/11.64 apply (zenon_L921_); trivial.
% 11.48/11.64 (* end of lemma zenon_L922_ *)
% 11.48/11.64 assert (zenon_L923_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e2)) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H106 zenon_H41 zenon_H39 zenon_H68 zenon_Hcc zenon_H27 zenon_H16a zenon_H9a.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.48/11.64 apply (zenon_L65_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.48/11.64 exact (zenon_H68 zenon_H6c).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.48/11.64 apply (zenon_L164_); trivial.
% 11.48/11.64 apply (zenon_L268_); trivial.
% 11.48/11.64 (* end of lemma zenon_L923_ *)
% 11.48/11.64 assert (zenon_L924_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((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))))))) -> (~((e0) = (e2))) -> False).
% 11.48/11.64 do 0 intro. intros zenon_H203 zenon_H34 zenon_H57 zenon_H1ca zenon_H9a zenon_H16a zenon_H106 zenon_H41 zenon_H39 zenon_H68 zenon_Hc8 zenon_H132 zenon_H27.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.48/11.64 apply (zenon_L8_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.48/11.64 apply (zenon_L232_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.48/11.64 apply (zenon_L923_); trivial.
% 11.48/11.64 apply (zenon_L802_); trivial.
% 11.48/11.64 (* end of lemma zenon_L924_ *)
% 11.48/11.64 assert (zenon_L925_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 11.48/11.64 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H192 zenon_H5a zenon_H27 zenon_H40 zenon_H41 zenon_Hb1 zenon_H26a zenon_Hf0 zenon_He3 zenon_H90 zenon_H141 zenon_H233 zenon_H13a zenon_H197 zenon_H15d zenon_Hc3.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.48/11.64 exact (zenon_H26b zenon_H72).
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.48/11.64 apply (zenon_L781_); trivial.
% 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.48/11.64 apply (zenon_L848_); trivial.
% 11.48/11.64 apply (zenon_L548_); trivial.
% 11.48/11.64 (* end of lemma zenon_L925_ *)
% 11.48/11.64 assert (zenon_L926_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((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 (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (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) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (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 (e3) (e3)) = (e2))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.48/11.65 do 0 intro. intros zenon_H106 zenon_H1f zenon_H68 zenon_Hc8 zenon_H132 zenon_H8d zenon_H3c zenon_H5a zenon_H41 zenon_H10e zenon_Hd0 zenon_H34 zenon_Hf3 zenon_H30 zenon_H228 zenon_H20 zenon_H22e zenon_H79 zenon_H233 zenon_H125 zenon_H1df zenon_H15d zenon_H16a zenon_H33 zenon_H1e2 zenon_H251 zenon_H197 zenon_H13a zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H26a zenon_Hb1 zenon_H10c zenon_H14f zenon_H26b zenon_Hb9 zenon_H61 zenon_H40.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.48/11.65 apply (zenon_L211_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.48/11.65 exact (zenon_H68 zenon_H6c).
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.48/11.65 apply (zenon_L801_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.48/11.65 apply (zenon_L799_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.48/11.65 exact (zenon_H79 zenon_H78).
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.48/11.65 apply (zenon_L911_); trivial.
% 11.48/11.65 apply (zenon_L634_); trivial.
% 11.48/11.65 (* end of lemma zenon_L926_ *)
% 11.48/11.65 assert (zenon_L927_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e2)) = (e2))/\(((~((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) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (((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))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> False).
% 11.48/11.65 do 0 intro. intros zenon_H203 zenon_H14f zenon_H132 zenon_H40 zenon_H61 zenon_Hb9 zenon_H26b zenon_H192 zenon_H41 zenon_Hb1 zenon_H26a zenon_Hf0 zenon_He3 zenon_H90 zenon_H141 zenon_H13a zenon_H197 zenon_H251 zenon_H1e2 zenon_H33 zenon_H16a zenon_H15d zenon_H1df zenon_H125 zenon_H233 zenon_H79 zenon_H22e zenon_H20 zenon_H228 zenon_Hf3 zenon_H34 zenon_Hd0 zenon_H10e zenon_H3c zenon_H8d zenon_H106 zenon_H30 zenon_H1f zenon_H68 zenon_Hc8 zenon_H5a zenon_H27.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.48/11.65 apply (zenon_L2_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.48/11.65 apply (zenon_L926_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.48/11.65 apply (zenon_L211_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.48/11.65 exact (zenon_H68 zenon_H6c).
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.48/11.65 apply (zenon_L164_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.48/11.65 apply (zenon_L799_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.48/11.65 exact (zenon_H79 zenon_H78).
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.48/11.65 exact (zenon_H26b zenon_H72).
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.48/11.65 apply (zenon_L781_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.48/11.65 apply (zenon_L848_); trivial.
% 11.48/11.65 apply (zenon_L720_); trivial.
% 11.48/11.65 apply (zenon_L634_); trivial.
% 11.48/11.65 apply (zenon_L915_); trivial.
% 11.48/11.65 (* end of lemma zenon_L927_ *)
% 11.48/11.65 assert (zenon_L928_ : (((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)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((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)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (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) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (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 (e3) (e3)) = (e2))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e3))) -> False).
% 11.48/11.65 do 0 intro. intros zenon_H106 zenon_H30 zenon_H1f zenon_H68 zenon_Hc8 zenon_H132 zenon_H22e zenon_H20 zenon_H228 zenon_H6f zenon_Hc0 zenon_Hf3 zenon_H34 zenon_Hd0 zenon_H233 zenon_H125 zenon_H1df zenon_H15d zenon_H16a zenon_H33 zenon_H1e2 zenon_H251 zenon_H197 zenon_H13a zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H26a zenon_Hb1 zenon_H10c zenon_H14f zenon_H26b zenon_Hb9 zenon_H41 zenon_H5a zenon_H3c.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.48/11.65 apply (zenon_L211_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.48/11.65 exact (zenon_H68 zenon_H6c).
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.48/11.65 apply (zenon_L801_); trivial.
% 11.48/11.65 apply (zenon_L912_); trivial.
% 11.48/11.65 (* end of lemma zenon_L928_ *)
% 11.48/11.65 assert (zenon_L929_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (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) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (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 (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (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) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e2)) = (e2))/\(((~((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 (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e2) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.48/11.65 do 0 intro. intros zenon_H12d zenon_H1b8 zenon_H15a zenon_H1ca zenon_H10b zenon_H245 zenon_H5c zenon_H105 zenon_H157 zenon_H212 zenon_H1d8 zenon_H1db zenon_H101 zenon_H16c zenon_Had zenon_H222 zenon_Hb0 zenon_Hb8 zenon_H226 zenon_H167 zenon_Hc4 zenon_H4c zenon_H65 zenon_H233 zenon_He5 zenon_H15d zenon_Hf0 zenon_H5a zenon_Hc8 zenon_H68 zenon_H30 zenon_H106 zenon_H44 zenon_H13f zenon_Hc0 zenon_H23c zenon_H113 zenon_H161 zenon_H27 zenon_H8d zenon_H79 zenon_H125 zenon_H1df zenon_H16a zenon_H1e2 zenon_H251 zenon_H197 zenon_H13a zenon_H141 zenon_He3 zenon_H26a zenon_Hb1 zenon_H192 zenon_H26b zenon_Hb9 zenon_H132 zenon_H14f zenon_H203 zenon_H41 zenon_H10e zenon_Hf3 zenon_H228 zenon_H22e zenon_H3c zenon_H34 zenon_H117 zenon_Hcb zenon_H11b zenon_H49 zenon_Hb7 zenon_H20 zenon_Hd0 zenon_H61 zenon_H90.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.48/11.65 apply (zenon_L221_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.65 apply (zenon_L160_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.48/11.65 apply (zenon_L211_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.48/11.65 apply (zenon_L247_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.48/11.65 apply (zenon_L398_); trivial.
% 11.48/11.65 apply (zenon_L795_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.65 apply (zenon_L57_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.48/11.65 apply (zenon_L160_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.65 apply (zenon_L58_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.48/11.65 apply (zenon_L58_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.48/11.65 apply (zenon_L118_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.48/11.65 apply (zenon_L8_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.48/11.65 apply (zenon_L232_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.48/11.65 apply (zenon_L918_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.48/11.65 apply (zenon_L247_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.48/11.65 apply (zenon_L61_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.48/11.65 apply (zenon_L391_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.48/11.65 apply (zenon_L242_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.48/11.65 apply (zenon_L506_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.48/11.65 apply (zenon_L366_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.48/11.65 apply (zenon_L70_); trivial.
% 11.48/11.65 apply (zenon_L827_); trivial.
% 11.48/11.65 apply (zenon_L795_); trivial.
% 11.48/11.65 apply (zenon_L802_); trivial.
% 11.48/11.65 apply (zenon_L922_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.65 apply (zenon_L59_); trivial.
% 11.48/11.65 apply (zenon_L11_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.48/11.65 apply (zenon_L553_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.65 apply (zenon_L58_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.65 apply (zenon_L924_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.65 apply (zenon_L59_); trivial.
% 11.48/11.65 apply (zenon_L11_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.48/11.65 apply (zenon_L326_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.48/11.65 apply (zenon_L61_); trivial.
% 11.48/11.65 apply (zenon_L127_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.48/11.65 apply (zenon_L804_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.65 apply (zenon_L918_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.65 apply (zenon_L760_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.65 apply (zenon_L29_); trivial.
% 11.48/11.65 apply (zenon_L773_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.48/11.65 apply (zenon_L61_); trivial.
% 11.48/11.65 apply (zenon_L127_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.65 apply (zenon_L160_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.65 apply (zenon_L58_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.65 apply (zenon_L65_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.65 apply (zenon_L59_); trivial.
% 11.48/11.65 apply (zenon_L925_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.65 apply (zenon_L23_); trivial.
% 11.48/11.65 apply (zenon_L875_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.65 apply (zenon_L160_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.65 apply (zenon_L211_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.65 apply (zenon_L57_); trivial.
% 11.48/11.65 apply (zenon_L875_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.65 apply (zenon_L916_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.65 apply (zenon_L130_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.65 apply (zenon_L59_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.48/11.65 apply (zenon_L927_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.48/11.65 apply (zenon_L123_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.48/11.65 apply (zenon_L764_); trivial.
% 11.48/11.65 apply (zenon_L201_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.48/11.65 apply (zenon_L2_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.48/11.65 apply (zenon_L928_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.48/11.65 apply (zenon_L914_); trivial.
% 11.48/11.65 apply (zenon_L258_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.48/11.65 apply (zenon_L928_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.48/11.65 apply (zenon_L293_); trivial.
% 11.48/11.65 apply (zenon_L38_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.65 apply (zenon_L130_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.65 apply (zenon_L59_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.48/11.65 apply (zenon_L927_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.48/11.65 apply (zenon_L799_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.48/11.65 apply (zenon_L136_); trivial.
% 11.48/11.65 apply (zenon_L201_); trivial.
% 11.48/11.65 apply (zenon_L773_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.48/11.65 apply (zenon_L61_); trivial.
% 11.48/11.65 apply (zenon_L127_); trivial.
% 11.48/11.65 (* end of lemma zenon_L929_ *)
% 11.48/11.65 assert (zenon_L930_ : ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (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) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (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) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (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) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.48/11.65 do 0 intro. intros zenon_H1b0 zenon_Hfb zenon_H187 zenon_H18f zenon_H1b8 zenon_H1d8 zenon_H1db zenon_H10e zenon_H203 zenon_H23c zenon_H251 zenon_Hc4 zenon_H192 zenon_H12d zenon_H20 zenon_H65 zenon_H34 zenon_H161 zenon_H14f zenon_H8d zenon_H226 zenon_H167 zenon_H157 zenon_H15a zenon_H79 zenon_H212 zenon_H1f3 zenon_H105 zenon_H3c zenon_H41 zenon_H10b zenon_H1ca zenon_Hb7 zenon_Hb8 zenon_Hc0 zenon_H1f0 zenon_H141 zenon_H101 zenon_H1e2 zenon_H16a zenon_Hf6 zenon_H1df zenon_Hf0 zenon_He5 zenon_H15d zenon_H106 zenon_Hf3 zenon_H1aa zenon_H27 zenon_H197 zenon_H26a zenon_He3 zenon_H13a zenon_Hfa zenon_Hc8 zenon_H222 zenon_Had zenon_Hb0 zenon_Hb9 zenon_H16e zenon_H194 zenon_H26b zenon_H44 zenon_H49 zenon_H228 zenon_H125 zenon_H13f zenon_H245 zenon_H22e zenon_H113 zenon_H5c zenon_H61 zenon_H69 zenon_H16c zenon_Hcb zenon_H30 zenon_H117 zenon_H90 zenon_H11b zenon_H4c zenon_H122 zenon_H148 zenon_H1cb zenon_H223 zenon_H233.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.48/11.65 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52.
% 11.48/11.65 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6.
% 11.48/11.65 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8.
% 11.48/11.65 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H207 | zenon_intro zenon_H6d ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hb5 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.48/11.65 apply (zenon_L129_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.65 apply (zenon_L129_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.65 apply (zenon_L519_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.65 apply (zenon_L3_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.65 apply (zenon_L211_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.65 apply (zenon_L889_); trivial.
% 11.48/11.65 apply (zenon_L892_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.65 apply (zenon_L3_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.65 apply (zenon_L211_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.65 apply (zenon_L889_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.48/11.65 apply (zenon_L298_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.48/11.65 exact (zenon_H207 zenon_H10c).
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.48/11.65 apply (zenon_L2_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.48/11.65 exact (zenon_H207 zenon_H10c).
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.48/11.65 apply (zenon_L211_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.48/11.65 apply (zenon_L893_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.48/11.65 apply (zenon_L164_); trivial.
% 11.48/11.65 apply (zenon_L738_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.48/11.65 apply (zenon_L895_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.48/11.65 exact (zenon_H79 zenon_H78).
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.48/11.65 apply (zenon_L69_); trivial.
% 11.48/11.65 apply (zenon_L890_); trivial.
% 11.48/11.65 apply (zenon_L38_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.65 apply (zenon_L129_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.65 apply (zenon_L519_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.65 apply (zenon_L3_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.65 apply (zenon_L898_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.65 apply (zenon_L6_); trivial.
% 11.48/11.65 apply (zenon_L892_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.65 apply (zenon_L3_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.65 apply (zenon_L898_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.65 apply (zenon_L6_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.65 apply (zenon_L7_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.48/11.65 apply (zenon_L298_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.48/11.65 exact (zenon_H207 zenon_H10c).
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.48/11.65 apply (zenon_L130_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.48/11.65 apply (zenon_L247_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.48/11.65 apply (zenon_L65_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.48/11.65 apply (zenon_L893_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.48/11.65 apply (zenon_L95_); trivial.
% 11.48/11.65 apply (zenon_L738_); trivial.
% 11.48/11.65 apply (zenon_L146_); trivial.
% 11.48/11.65 apply (zenon_L38_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.65 apply (zenon_L9_); trivial.
% 11.48/11.65 apply (zenon_L11_); trivial.
% 11.48/11.65 apply (zenon_L127_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.48/11.65 apply (zenon_L129_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.48/11.65 apply (zenon_L899_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.48/11.65 apply (zenon_L901_); trivial.
% 11.48/11.65 apply (zenon_L127_); trivial.
% 11.48/11.65 apply (zenon_L519_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.48/11.65 apply (zenon_L759_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.48/11.65 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133.
% 11.48/11.65 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134.
% 11.48/11.65 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136.
% 11.48/11.65 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H139. zenon_intro zenon_H138.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.48/11.65 apply (zenon_L129_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.65 apply (zenon_L129_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.65 apply (zenon_L760_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.65 exact (zenon_H2b zenon_H26).
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.65 apply (zenon_L211_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.65 apply (zenon_L23_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ].
% 11.48/11.65 exact (zenon_H2b zenon_H26).
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.65 apply (zenon_L7_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.65 apply (zenon_L763_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.48/11.65 apply (zenon_L7_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.48/11.65 apply (zenon_L768_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.48/11.65 apply (zenon_L136_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.48/11.65 apply (zenon_L326_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.48/11.65 apply (zenon_L768_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.48/11.65 exact (zenon_H79 zenon_H78).
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.48/11.65 apply (zenon_L291_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.48/11.65 apply (zenon_L908_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.48/11.65 apply (zenon_L391_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.48/11.65 apply (zenon_L505_); trivial.
% 11.48/11.65 apply (zenon_L909_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.48/11.65 apply (zenon_L910_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.48/11.65 exact (zenon_H79 zenon_H78).
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.48/11.65 apply (zenon_L119_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.48/11.65 apply (zenon_L9_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.48/11.65 apply (zenon_L92_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.48/11.65 apply (zenon_L640_); trivial.
% 11.48/11.65 apply (zenon_L909_); trivial.
% 11.48/11.65 apply (zenon_L758_); trivial.
% 11.48/11.65 apply (zenon_L11_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ].
% 11.48/11.65 apply (zenon_L108_); trivial.
% 11.48/11.65 apply (zenon_L769_); trivial.
% 11.48/11.65 apply (zenon_L773_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.48/11.65 apply (zenon_L908_); trivial.
% 11.48/11.65 apply (zenon_L127_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.48/11.65 apply (zenon_L849_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.48/11.65 apply (zenon_L929_); trivial.
% 11.48/11.65 exact (zenon_H26b zenon_H72).
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.48/11.65 apply (zenon_L129_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.48/11.65 apply (zenon_L814_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.65 apply (zenon_L129_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.65 apply (zenon_L819_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.65 exact (zenon_H2b zenon_H26).
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.65 apply (zenon_L7_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.65 apply (zenon_L65_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.65 apply (zenon_L9_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.48/11.65 apply (zenon_L812_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.48/11.65 exact (zenon_H68 zenon_H6c).
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.48/11.65 apply (zenon_L21_); trivial.
% 11.48/11.65 apply (zenon_L886_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.65 apply (zenon_L6_); trivial.
% 11.48/11.65 apply (zenon_L813_); trivial.
% 11.48/11.65 apply (zenon_L820_); trivial.
% 11.48/11.65 apply (zenon_L127_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.48/11.65 apply (zenon_L884_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.48/11.65 apply (zenon_L827_); trivial.
% 11.48/11.65 exact (zenon_H26b zenon_H72).
% 11.48/11.65 apply (zenon_L391_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ].
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ].
% 11.48/11.65 apply (zenon_L929_); trivial.
% 11.48/11.65 apply (zenon_L827_); trivial.
% 11.48/11.65 apply (zenon_L391_); trivial.
% 11.48/11.65 apply (zenon_L456_); trivial.
% 11.48/11.65 (* end of lemma zenon_L930_ *)
% 11.48/11.65 assert (zenon_L931_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 11.48/11.65 do 0 intro. intros zenon_Hf0 zenon_H9e zenon_H1e5 zenon_H99 zenon_Hf7 zenon_H15d zenon_H15e.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.48/11.65 exact (zenon_H9e zenon_H9d).
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.48/11.65 exact (zenon_H1e5 zenon_He7).
% 11.48/11.65 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.48/11.65 apply (zenon_L541_); trivial.
% 11.48/11.65 apply (zenon_L141_); trivial.
% 11.48/11.65 (* end of lemma zenon_L931_ *)
% 11.48/11.65 assert (zenon_L932_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (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).
% 11.48/11.65 do 0 intro. intros zenon_H1f0 zenon_H15e zenon_H15d zenon_Hf7 zenon_H9e zenon_Hf0 zenon_H56 zenon_H1f3 zenon_H2e zenon_H101 zenon_H1e5.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ].
% 11.48/11.65 apply (zenon_L931_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ].
% 11.48/11.65 apply (zenon_L278_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ].
% 11.48/11.65 apply (zenon_L476_); trivial.
% 11.48/11.65 exact (zenon_H1e5 zenon_He7).
% 11.48/11.65 (* end of lemma zenon_L932_ *)
% 11.48/11.65 assert (zenon_L933_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 11.48/11.65 do 0 intro. intros zenon_H251 zenon_H1e5 zenon_H101 zenon_H2e zenon_H9e zenon_H1f0 zenon_H99 zenon_H15d zenon_H13a zenon_H72 zenon_Hf0 zenon_Hae zenon_H41 zenon_H223 zenon_Hf7 zenon_H1d8 zenon_H56 zenon_H1f3 zenon_H2c zenon_H222 zenon_He5.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.48/11.65 apply (zenon_L932_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.48/11.65 apply (zenon_L542_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.48/11.65 apply (zenon_L271_); trivial.
% 11.48/11.65 apply (zenon_L356_); trivial.
% 11.48/11.65 (* end of lemma zenon_L933_ *)
% 11.48/11.65 assert (zenon_L934_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e1) (e0)) = (e0)) -> ((op (e2) (e0)) = (e2)) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((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)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((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) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((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)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (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 (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((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 (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 11.48/11.65 do 0 intro. intros zenon_H161 zenon_H38 zenon_H57 zenon_Hb5 zenon_H1b0 zenon_Hfa zenon_H1ca zenon_H23c zenon_H154 zenon_Hcb zenon_H167 zenon_H141 zenon_H61 zenon_H117 zenon_Hb7 zenon_H1f0 zenon_H10b zenon_H157 zenon_H16e zenon_H11b zenon_H1f3 zenon_H16a zenon_H223 zenon_H234 zenon_H12d zenon_H197 zenon_H192 zenon_H228 zenon_H3c zenon_H34 zenon_H22e zenon_H10e zenon_H125 zenon_H5c zenon_H13f zenon_H245 zenon_H18f zenon_H101 zenon_H122 zenon_H105 zenon_He5 zenon_Hf0 zenon_Hb9 zenon_H9e zenon_H95 zenon_H212 zenon_H8d zenon_H27 zenon_Hc4 zenon_Hc0 zenon_H226 zenon_H242 zenon_H216 zenon_H20 zenon_Hb8 zenon_Hf6 zenon_H30 zenon_H44 zenon_H1e2 zenon_H49 zenon_H65 zenon_H41 zenon_H222 zenon_Had zenon_Hb0 zenon_H13a zenon_H4c zenon_H15d.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.48/11.65 exact (zenon_H38 zenon_H33).
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.48/11.65 apply (zenon_L118_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.48/11.65 apply (zenon_L233_); trivial.
% 11.48/11.65 apply (zenon_L515_); trivial.
% 11.48/11.65 (* end of lemma zenon_L934_ *)
% 11.48/11.65 assert (zenon_L935_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((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) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (((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)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e0)) -> False).
% 11.48/11.65 do 0 intro. intros zenon_H161 zenon_H38 zenon_H117 zenon_Hcf zenon_Hcb zenon_H1e zenon_H27 zenon_Hfa zenon_H92 zenon_H141 zenon_H79 zenon_H3c zenon_H8d zenon_He5 zenon_H222 zenon_H2c zenon_H1f3 zenon_H16a zenon_H223 zenon_H20 zenon_H69 zenon_H16c zenon_H255 zenon_H16e zenon_H61 zenon_Hed zenon_H13a zenon_H207 zenon_H113 zenon_H41 zenon_Hb5 zenon_H34 zenon_Hc3.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.48/11.65 exact (zenon_H38 zenon_H33).
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.48/11.65 apply (zenon_L558_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.48/11.65 apply (zenon_L233_); trivial.
% 11.48/11.65 apply (zenon_L201_); trivial.
% 11.48/11.65 (* end of lemma zenon_L935_ *)
% 11.48/11.65 assert (zenon_L936_ : (((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 (e2) (e0)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 11.48/11.65 do 0 intro. intros zenon_H44 zenon_H38 zenon_He3 zenon_He2 zenon_Hcb zenon_Hb5 zenon_H167 zenon_H41 zenon_H2f zenon_Hed zenon_H13a.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.65 exact (zenon_H38 zenon_H33).
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.65 apply (zenon_L243_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.65 apply (zenon_L13_); trivial.
% 11.48/11.65 apply (zenon_L113_); trivial.
% 11.48/11.65 (* end of lemma zenon_L936_ *)
% 11.48/11.65 assert (zenon_L937_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e0)) -> ((op (e2) (e0)) = (e2)) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((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)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((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) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((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)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (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 (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((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 (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 11.48/11.65 do 0 intro. intros zenon_H161 zenon_H4f zenon_H57 zenon_Hb5 zenon_H1b0 zenon_Hfa zenon_H1ca zenon_H23c zenon_H154 zenon_Hcb zenon_H167 zenon_H141 zenon_H61 zenon_H117 zenon_Hb7 zenon_H1f0 zenon_H10b zenon_H157 zenon_H16e zenon_H11b zenon_H1f3 zenon_H16a zenon_H223 zenon_H234 zenon_H12d zenon_H197 zenon_H192 zenon_H228 zenon_H3c zenon_H34 zenon_H22e zenon_H10e zenon_H125 zenon_H5c zenon_H13f zenon_H245 zenon_H18f zenon_H101 zenon_H122 zenon_H105 zenon_He5 zenon_Hf0 zenon_Hb9 zenon_H9e zenon_H95 zenon_H212 zenon_H8d zenon_H27 zenon_Hc4 zenon_Hc0 zenon_H226 zenon_H242 zenon_H216 zenon_H20 zenon_Hb8 zenon_Hf6 zenon_H30 zenon_H44 zenon_H1e2 zenon_H49 zenon_H65 zenon_H41 zenon_H222 zenon_Had zenon_Hb0 zenon_H13a zenon_H4c zenon_H15d.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.48/11.65 apply (zenon_L58_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.48/11.65 apply (zenon_L118_); trivial.
% 11.48/11.65 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.48/11.65 apply (zenon_L233_); trivial.
% 11.48/11.65 apply (zenon_L515_); trivial.
% 11.48/11.65 (* end of lemma zenon_L937_ *)
% 11.48/11.65 assert (zenon_L938_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e2)) -> (((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)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (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) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.48/11.66 do 0 intro. intros zenon_H8d zenon_H10e zenon_H79 zenon_H1e2 zenon_H33 zenon_H16a zenon_Ha4 zenon_H92 zenon_H212 zenon_H10b zenon_H1f zenon_Heb zenon_He2 zenon_H3c zenon_H2f zenon_H41 zenon_Hf3 zenon_H197 zenon_H27 zenon_H95 zenon_Hb5 zenon_H194 zenon_H16e zenon_H117 zenon_H61 zenon_H72 zenon_H154 zenon_He3 zenon_Hf6 zenon_H1df zenon_Hcf zenon_H34 zenon_Hfb zenon_Hed zenon_H141.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.48/11.66 apply (zenon_L560_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.48/11.66 exact (zenon_H79 zenon_H78).
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.48/11.66 apply (zenon_L57_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.48/11.66 apply (zenon_L69_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.48/11.66 exact (zenon_Hcf zenon_Hce).
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ].
% 11.48/11.66 apply (zenon_L77_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ].
% 11.48/11.66 apply (zenon_L340_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ].
% 11.48/11.66 apply (zenon_L268_); trivial.
% 11.48/11.66 apply (zenon_L478_); trivial.
% 11.48/11.66 apply (zenon_L120_); trivial.
% 11.48/11.66 (* end of lemma zenon_L938_ *)
% 11.48/11.66 assert (zenon_L939_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (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) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (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) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e1) (e3)) = (e2)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 11.48/11.66 do 0 intro. intros zenon_Hb0 zenon_H226 zenon_He3 zenon_H16e zenon_H194 zenon_Hb5 zenon_H95 zenon_H197 zenon_H3c zenon_H1f zenon_H10b zenon_H212 zenon_H92 zenon_H1e2 zenon_H33 zenon_Hf6 zenon_H16a zenon_He6 zenon_H8d zenon_Heb zenon_He2 zenon_H10e zenon_Hf3 zenon_H79 zenon_Hcf zenon_H34 zenon_H2f zenon_H27 zenon_Hfb zenon_H62 zenon_H41 zenon_H1df zenon_H154 zenon_H72 zenon_H61 zenon_H118 zenon_H117 zenon_Hed zenon_H141.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.48/11.66 apply (zenon_L361_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.48/11.66 apply (zenon_L938_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ].
% 11.48/11.66 apply (zenon_L571_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ].
% 11.48/11.66 apply (zenon_L146_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ].
% 11.48/11.66 apply (zenon_L256_); trivial.
% 11.48/11.66 apply (zenon_L478_); trivial.
% 11.48/11.66 apply (zenon_L337_); trivial.
% 11.48/11.66 (* end of lemma zenon_L939_ *)
% 11.48/11.66 assert (zenon_L940_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((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)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.48/11.66 do 0 intro. intros zenon_H4c zenon_H161 zenon_He5 zenon_H222 zenon_H1f3 zenon_H16a zenon_H223 zenon_H27 zenon_H92 zenon_H212 zenon_H10b zenon_Heb zenon_H3c zenon_H41 zenon_Hf3 zenon_H197 zenon_H95 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H154 zenon_Hed zenon_He3 zenon_H30 zenon_H1aa zenon_H49 zenon_H8d zenon_H79 zenon_H34 zenon_H207 zenon_Hc3 zenon_Hf6 zenon_Hfb zenon_H113 zenon_H167 zenon_Hcb zenon_H44 zenon_Hb7 zenon_He2 zenon_Hb5 zenon_Hc0 zenon_H65 zenon_Hcf zenon_H19c zenon_H72 zenon_H20.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.66 apply (zenon_L160_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.48/11.66 apply (zenon_L58_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.48/11.66 apply (zenon_L576_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.48/11.66 apply (zenon_L233_); trivial.
% 11.48/11.66 apply (zenon_L201_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.66 apply (zenon_L567_); trivial.
% 11.48/11.66 apply (zenon_L180_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.48/11.66 apply (zenon_L577_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.48/11.66 apply (zenon_L579_); trivial.
% 11.48/11.66 apply (zenon_L182_); trivial.
% 11.48/11.66 (* end of lemma zenon_L940_ *)
% 11.48/11.66 assert (zenon_L941_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((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)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((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))))) -> (~((e0) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e3) (e3)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 11.48/11.66 do 0 intro. intros zenon_H1df zenon_H20 zenon_H72 zenon_H19c zenon_Hcf zenon_H65 zenon_Hc0 zenon_He2 zenon_Hb7 zenon_H44 zenon_Hcb zenon_H167 zenon_H113 zenon_Hfb zenon_Hf6 zenon_H207 zenon_H34 zenon_H79 zenon_H8d zenon_H49 zenon_H1aa zenon_H30 zenon_He3 zenon_H154 zenon_H61 zenon_H117 zenon_H141 zenon_H16e zenon_H194 zenon_H95 zenon_H197 zenon_Hf3 zenon_H41 zenon_H3c zenon_Heb zenon_H10b zenon_H212 zenon_H92 zenon_H27 zenon_H223 zenon_H16a zenon_H1f3 zenon_H222 zenon_He5 zenon_H161 zenon_H4c zenon_He7 zenon_Hb5 zenon_H226 zenon_H15d zenon_Hed.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ].
% 11.48/11.66 apply (zenon_L940_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ].
% 11.48/11.66 apply (zenon_L262_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ].
% 11.48/11.66 apply (zenon_L361_); trivial.
% 11.48/11.66 apply (zenon_L141_); trivial.
% 11.48/11.66 (* end of lemma zenon_L941_ *)
% 11.48/11.66 assert (zenon_L942_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e1) (e3)) = (e2)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((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)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((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))))) -> (~((e0) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 11.48/11.66 do 0 intro. intros zenon_H1d5 zenon_H71 zenon_H62 zenon_H2f zenon_H10e zenon_He6 zenon_H33 zenon_H1e2 zenon_H1f zenon_Hb0 zenon_H1df zenon_H20 zenon_H72 zenon_H19c zenon_Hcf zenon_H65 zenon_Hc0 zenon_He2 zenon_Hb7 zenon_H44 zenon_Hcb zenon_H167 zenon_H113 zenon_Hfb zenon_Hf6 zenon_H207 zenon_H34 zenon_H79 zenon_H8d zenon_H49 zenon_H1aa zenon_H30 zenon_He3 zenon_H154 zenon_H61 zenon_H117 zenon_H141 zenon_H16e zenon_H194 zenon_H95 zenon_H197 zenon_Hf3 zenon_H41 zenon_H3c zenon_Heb zenon_H10b zenon_H212 zenon_H92 zenon_H27 zenon_H223 zenon_H16a zenon_H1f3 zenon_H222 zenon_He5 zenon_H161 zenon_H4c zenon_Hb5 zenon_H226 zenon_H15d zenon_Hed.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H47 | zenon_intro zenon_H1d6 ].
% 11.48/11.66 apply (zenon_L199_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H90 | zenon_intro zenon_H1d7 ].
% 11.48/11.66 apply (zenon_L333_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H118 | zenon_intro zenon_He7 ].
% 11.48/11.66 apply (zenon_L939_); trivial.
% 11.48/11.66 apply (zenon_L941_); trivial.
% 11.48/11.66 (* end of lemma zenon_L942_ *)
% 11.48/11.66 assert (zenon_L943_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((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)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (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)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.48/11.66 do 0 intro. intros zenon_H15d zenon_H226 zenon_Hb5 zenon_H4c zenon_H161 zenon_He5 zenon_H222 zenon_H1f3 zenon_H16a zenon_H223 zenon_H27 zenon_H92 zenon_H212 zenon_H10b zenon_Heb zenon_H3c zenon_H41 zenon_Hf3 zenon_H197 zenon_H95 zenon_H1aa zenon_H49 zenon_H8d zenon_H79 zenon_H34 zenon_H207 zenon_Hf6 zenon_Hfb zenon_H113 zenon_H167 zenon_Hcb zenon_H44 zenon_Hb7 zenon_He2 zenon_Hc0 zenon_H65 zenon_Hcf zenon_H19c zenon_H20 zenon_H1df zenon_Hb0 zenon_H1f zenon_H1e2 zenon_H33 zenon_He6 zenon_H10e zenon_H2f zenon_H71 zenon_H1d5 zenon_H118 zenon_H30 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H72 zenon_H154 zenon_Hed zenon_He3.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H3f | zenon_intro zenon_H198 ].
% 11.48/11.66 apply (zenon_L180_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H62 | zenon_intro zenon_H199 ].
% 11.48/11.66 apply (zenon_L942_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H18a | zenon_intro zenon_Hb4 ].
% 11.48/11.66 apply (zenon_L245_); trivial.
% 11.48/11.66 apply (zenon_L338_); trivial.
% 11.48/11.66 (* end of lemma zenon_L943_ *)
% 11.48/11.66 assert (zenon_L944_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> False).
% 11.48/11.66 do 0 intro. intros zenon_H1df zenon_Hf7 zenon_H1d9 zenon_Hf6 zenon_Ha4 zenon_H16a zenon_H33 zenon_H1e2.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ].
% 11.48/11.66 apply (zenon_L77_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ].
% 11.48/11.66 apply (zenon_L534_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ].
% 11.48/11.66 apply (zenon_L268_); trivial.
% 11.48/11.66 apply (zenon_L478_); trivial.
% 11.48/11.66 (* end of lemma zenon_L944_ *)
% 11.48/11.66 assert (zenon_L945_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 11.48/11.66 do 0 intro. intros zenon_H1df zenon_Hf7 zenon_H1d9 zenon_Hae zenon_Hf6 zenon_H15d zenon_Hed.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ].
% 11.48/11.66 apply (zenon_L77_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ].
% 11.48/11.66 apply (zenon_L534_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ].
% 11.48/11.66 apply (zenon_L256_); trivial.
% 11.48/11.66 apply (zenon_L141_); trivial.
% 11.48/11.66 (* end of lemma zenon_L945_ *)
% 11.48/11.66 assert (zenon_L946_ : (((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)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.48/11.66 do 0 intro. intros zenon_Hb0 zenon_Hb5 zenon_H226 zenon_H1e2 zenon_H33 zenon_H16a zenon_H15d zenon_Hf6 zenon_H1d9 zenon_Hf7 zenon_H1df zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H72 zenon_H154 zenon_Hed zenon_He3.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.48/11.66 apply (zenon_L361_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.48/11.66 apply (zenon_L944_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.48/11.66 apply (zenon_L945_); trivial.
% 11.48/11.66 apply (zenon_L338_); trivial.
% 11.48/11.66 (* end of lemma zenon_L946_ *)
% 11.48/11.66 assert (zenon_L947_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (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)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((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)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.48/11.66 do 0 intro. intros zenon_H15d zenon_H226 zenon_H1df zenon_Hb0 zenon_H1e2 zenon_H1d5 zenon_H71 zenon_H10e zenon_H1f0 zenon_H1b0 zenon_Hfa zenon_H1ca zenon_H23c zenon_H157 zenon_H11b zenon_H234 zenon_H12d zenon_H192 zenon_H228 zenon_H22e zenon_H125 zenon_H5c zenon_H13f zenon_H245 zenon_H18f zenon_H101 zenon_H122 zenon_H105 zenon_Hf0 zenon_Hb9 zenon_H9e zenon_Hc4 zenon_H242 zenon_H216 zenon_Hb8 zenon_Had zenon_H13a zenon_H4c zenon_H161 zenon_He5 zenon_H222 zenon_H1f3 zenon_H16a zenon_H223 zenon_H27 zenon_H92 zenon_H212 zenon_H10b zenon_Heb zenon_H3c zenon_H41 zenon_Hf3 zenon_H197 zenon_H95 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H154 zenon_Hed zenon_He3 zenon_H30 zenon_H1aa zenon_H49 zenon_H8d zenon_H79 zenon_H34 zenon_H207 zenon_Hf6 zenon_Hfb zenon_H113 zenon_H167 zenon_Hcb zenon_H44 zenon_Hb7 zenon_He2 zenon_Hb5 zenon_Hc0 zenon_H65 zenon_Hcf zenon_H19c zenon_H72 zenon_H20.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.48/11.66 exact (zenon_H234 zenon_H25).
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.48/11.66 apply (zenon_L937_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.66 apply (zenon_L208_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.66 apply (zenon_L211_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.48/11.66 apply (zenon_L560_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.48/11.66 exact (zenon_H79 zenon_H78).
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.48/11.66 apply (zenon_L57_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.48/11.66 apply (zenon_L69_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.48/11.66 exact (zenon_Hcf zenon_Hce).
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ].
% 11.48/11.66 apply (zenon_L340_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ].
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H47 | zenon_intro zenon_H1d6 ].
% 11.48/11.66 apply (zenon_L182_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H90 | zenon_intro zenon_H1d7 ].
% 11.48/11.66 apply (zenon_L339_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H118 | zenon_intro zenon_He7 ].
% 11.48/11.66 apply (zenon_L943_); trivial.
% 11.48/11.66 apply (zenon_L72_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ].
% 11.48/11.66 apply (zenon_L946_); trivial.
% 11.48/11.66 apply (zenon_L941_); trivial.
% 11.48/11.66 apply (zenon_L120_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.48/11.66 apply (zenon_L243_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.48/11.66 apply (zenon_L13_); trivial.
% 11.48/11.66 apply (zenon_L379_); trivial.
% 11.48/11.66 apply (zenon_L180_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.48/11.66 apply (zenon_L579_); trivial.
% 11.48/11.66 apply (zenon_L182_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.48/11.66 apply (zenon_L48_); trivial.
% 11.48/11.66 apply (zenon_L940_); trivial.
% 11.48/11.66 (* end of lemma zenon_L947_ *)
% 11.48/11.66 assert (zenon_L948_ : (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((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) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (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) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((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) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((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)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((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 (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (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)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 11.48/11.66 do 0 intro. intros zenon_H41 zenon_H161 zenon_H38 zenon_Hfb zenon_H27 zenon_Hf6 zenon_H16c zenon_H69 zenon_H34 zenon_H44 zenon_He3 zenon_Hcb zenon_H167 zenon_Hed zenon_H13a zenon_H255 zenon_Heb zenon_H15f zenon_Hf3 zenon_H1b0 zenon_Hfa zenon_H1ca zenon_H23c zenon_H154 zenon_H141 zenon_H117 zenon_Hb7 zenon_H1f0 zenon_H10b zenon_H157 zenon_H16e zenon_H11b zenon_H1f3 zenon_H16a zenon_H223 zenon_H234 zenon_H12d zenon_H197 zenon_H192 zenon_H228 zenon_H3c zenon_H22e zenon_H10e zenon_H125 zenon_H5c zenon_H13f zenon_H245 zenon_H18f zenon_H101 zenon_H122 zenon_H105 zenon_He5 zenon_Hf0 zenon_Hb9 zenon_H9e zenon_H95 zenon_H212 zenon_H8d zenon_Hc4 zenon_H226 zenon_H242 zenon_H216 zenon_Hb8 zenon_H30 zenon_H1e2 zenon_H49 zenon_H222 zenon_Had zenon_Hb0 zenon_H4c zenon_H15d zenon_H20 zenon_H1e zenon_He2 zenon_Hb5 zenon_Hc0 zenon_H65 zenon_Hcf zenon_H19c zenon_H61 zenon_H90.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.48/11.66 exact (zenon_H234 zenon_H25).
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.48/11.66 apply (zenon_L937_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.48/11.66 apply (zenon_L2_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.48/11.66 apply (zenon_L579_); trivial.
% 11.48/11.66 apply (zenon_L127_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.48/11.66 apply (zenon_L48_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.48/11.66 apply (zenon_L160_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.48/11.66 exact (zenon_H38 zenon_H33).
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.48/11.66 apply (zenon_L586_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.48/11.66 apply (zenon_L233_); trivial.
% 11.48/11.66 apply (zenon_L515_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.48/11.66 apply (zenon_L936_); trivial.
% 11.48/11.66 apply (zenon_L565_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.48/11.66 apply (zenon_L2_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.48/11.66 apply (zenon_L579_); trivial.
% 11.48/11.66 apply (zenon_L127_); trivial.
% 11.48/11.66 (* end of lemma zenon_L948_ *)
% 11.48/11.66 assert (zenon_L949_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((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) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 11.48/11.66 do 0 intro. intros zenon_Hb7 zenon_H4d zenon_H25f zenon_Hb5 zenon_H30 zenon_H22e zenon_H210 zenon_H47 zenon_H216 zenon_H56 zenon_H11c zenon_Hf6.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.66 exact (zenon_H4d zenon_H4f).
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.66 exact (zenon_H25f zenon_H6d).
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.66 apply (zenon_L108_); trivial.
% 11.48/11.66 apply (zenon_L535_); trivial.
% 11.48/11.66 (* end of lemma zenon_L949_ *)
% 11.48/11.66 assert (zenon_L950_ : (((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)) = (e1))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (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) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 11.48/11.66 do 0 intro. intros zenon_H4c zenon_H10b zenon_H20 zenon_Hd0 zenon_Hb7 zenon_H4d zenon_H25f zenon_Hb5 zenon_H30 zenon_H22e zenon_H210 zenon_H216 zenon_H56 zenon_H11c zenon_Hf6.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.48/11.66 exact (zenon_H4d zenon_H4f).
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.48/11.66 apply (zenon_L223_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.48/11.66 apply (zenon_L61_); trivial.
% 11.48/11.66 apply (zenon_L949_); trivial.
% 11.48/11.66 (* end of lemma zenon_L950_ *)
% 11.48/11.66 assert (zenon_L951_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False).
% 11.48/11.66 do 0 intro. intros zenon_H26d zenon_He0 zenon_H25f zenon_H16c zenon_Hb5 zenon_H10e zenon_H89.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H57 | zenon_intro zenon_H26e ].
% 11.48/11.66 apply (zenon_L88_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H6d | zenon_intro zenon_H26f ].
% 11.48/11.66 exact (zenon_H25f zenon_H6d).
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H58 | zenon_intro zenon_H75 ].
% 11.48/11.66 apply (zenon_L343_); trivial.
% 11.48/11.66 apply (zenon_L229_); trivial.
% 11.48/11.66 (* end of lemma zenon_L951_ *)
% 11.48/11.66 assert (zenon_L952_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 11.48/11.66 do 0 intro. intros zenon_Hf0 zenon_H9e zenon_H1e5 zenon_H99 zenon_Hf7 zenon_He5 zenon_H147.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.48/11.66 exact (zenon_H9e zenon_H9d).
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.48/11.66 exact (zenon_H1e5 zenon_He7).
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.48/11.66 apply (zenon_L541_); trivial.
% 11.48/11.66 apply (zenon_L132_); trivial.
% 11.48/11.66 (* end of lemma zenon_L952_ *)
% 11.48/11.66 assert (zenon_L953_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e0)) -> False).
% 11.48/11.66 do 0 intro. intros zenon_Hfb zenon_H20 zenon_H2e zenon_H89 zenon_H10e zenon_Hb5 zenon_H16c zenon_H25f zenon_H26d zenon_Hcf zenon_H1d8 zenon_H120.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.48/11.66 apply (zenon_L61_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.48/11.66 apply (zenon_L951_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.48/11.66 exact (zenon_Hcf zenon_Hce).
% 11.48/11.66 apply (zenon_L254_); trivial.
% 11.48/11.66 (* end of lemma zenon_L953_ *)
% 11.48/11.66 assert (zenon_L954_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 11.48/11.66 do 0 intro. intros zenon_H223 zenon_H1d8 zenon_Hcf zenon_H26d zenon_H25f zenon_H16c zenon_Hb5 zenon_H10e zenon_H89 zenon_H2e zenon_H20 zenon_Hfb zenon_H56 zenon_H1f3 zenon_H2c zenon_H222 zenon_He5 zenon_Hed.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H120 | zenon_intro zenon_H224 ].
% 11.48/11.66 apply (zenon_L953_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He6 | zenon_intro zenon_H225 ].
% 11.48/11.66 apply (zenon_L278_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H147 ].
% 11.48/11.66 apply (zenon_L355_); trivial.
% 11.48/11.66 apply (zenon_L132_); trivial.
% 11.48/11.66 (* end of lemma zenon_L954_ *)
% 11.48/11.66 assert (zenon_L955_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 11.48/11.66 do 0 intro. intros zenon_H251 zenon_H15d zenon_Hf7 zenon_H99 zenon_H1e5 zenon_H9e zenon_Hf0 zenon_Hae zenon_H41 zenon_H223 zenon_H1d8 zenon_Hcf zenon_H26d zenon_H25f zenon_H16c zenon_Hb5 zenon_H10e zenon_H89 zenon_H2e zenon_H20 zenon_Hfb zenon_H56 zenon_H1f3 zenon_H2c zenon_H222 zenon_He5.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.48/11.66 apply (zenon_L931_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.48/11.66 apply (zenon_L952_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.48/11.66 apply (zenon_L271_); trivial.
% 11.48/11.66 apply (zenon_L954_); trivial.
% 11.48/11.66 (* end of lemma zenon_L955_ *)
% 11.48/11.66 assert (zenon_L956_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (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 (e1) (e1)) = (e1)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((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 (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (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) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (~((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).
% 11.48/11.66 do 0 intro. intros zenon_H12d zenon_H234 zenon_H10e zenon_H13a zenon_H4c zenon_H56 zenon_H27 zenon_H30 zenon_H69 zenon_H16c zenon_Hb5 zenon_H10b zenon_Hf6 zenon_Hcf zenon_Hfb zenon_H236 zenon_H34 zenon_H41 zenon_He3 zenon_H141 zenon_H15d zenon_Hf0 zenon_He5 zenon_H147 zenon_H1aa zenon_H49 zenon_H25f zenon_H4d zenon_Hb7 zenon_H72 zenon_H20.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.48/11.66 exact (zenon_H234 zenon_H25).
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.48/11.66 exact (zenon_H4d zenon_H4f).
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.48/11.66 apply (zenon_L223_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.66 exact (zenon_H4d zenon_H4f).
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.66 exact (zenon_H25f zenon_H6d).
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.66 apply (zenon_L108_); trivial.
% 11.48/11.66 apply (zenon_L546_); trivial.
% 11.48/11.66 apply (zenon_L182_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.48/11.66 apply (zenon_L48_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.48/11.66 exact (zenon_H4d zenon_H4f).
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.48/11.66 apply (zenon_L223_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.48/11.66 exact (zenon_H4d zenon_H4f).
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.48/11.66 exact (zenon_H25f zenon_H6d).
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.48/11.66 apply (zenon_L108_); trivial.
% 11.48/11.66 apply (zenon_L551_); trivial.
% 11.48/11.66 apply (zenon_L182_); trivial.
% 11.48/11.66 (* end of lemma zenon_L956_ *)
% 11.48/11.66 assert (zenon_L957_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (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) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e1)) = (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))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (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 (e1) (e1)) = (e1)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((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 (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (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) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> False).
% 11.48/11.66 do 0 intro. intros zenon_H18f zenon_H157 zenon_H19f zenon_H65 zenon_H5c zenon_Hc0 zenon_H19c zenon_Had zenon_H11b zenon_Hcb zenon_Hfa zenon_H11c zenon_H216 zenon_H210 zenon_H22e zenon_H12d zenon_H234 zenon_H10e zenon_H13a zenon_H4c zenon_H56 zenon_H27 zenon_H30 zenon_H69 zenon_H16c zenon_Hb5 zenon_H10b zenon_Hf6 zenon_Hcf zenon_Hfb zenon_H236 zenon_H34 zenon_H41 zenon_He3 zenon_H141 zenon_H15d zenon_Hf0 zenon_He5 zenon_H147 zenon_H1aa zenon_H49 zenon_H25f zenon_H4d zenon_Hb7 zenon_H20.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.48/11.66 exact (zenon_H234 zenon_H25).
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.48/11.66 apply (zenon_L531_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.48/11.66 apply (zenon_L950_); trivial.
% 11.48/11.66 apply (zenon_L956_); trivial.
% 11.48/11.66 (* end of lemma zenon_L957_ *)
% 11.48/11.66 assert (zenon_L958_ : ((op (e3) (e2)) = (e3)) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> False).
% 11.48/11.66 do 0 intro. intros zenon_Hec zenon_He1 zenon_Had.
% 11.48/11.66 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H102 | zenon_intro zenon_Hef ].
% 11.48/11.66 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e2) (e2)) = (op (e3) (e2)))).
% 11.48/11.66 intro zenon_D_pnotp.
% 11.48/11.66 apply zenon_Had.
% 11.48/11.66 rewrite <- zenon_D_pnotp.
% 11.48/11.66 exact zenon_H102.
% 11.48/11.66 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 11.48/11.66 cut (((op (e3) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H270].
% 11.48/11.66 congruence.
% 11.48/11.66 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e2) (e2)))).
% 11.48/11.66 intro zenon_D_pnotp.
% 11.48/11.66 apply zenon_H270.
% 11.48/11.66 rewrite <- zenon_D_pnotp.
% 11.48/11.66 exact zenon_Hec.
% 11.48/11.66 cut (((e3) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H19b].
% 11.48/11.66 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 11.48/11.66 congruence.
% 11.48/11.66 apply zenon_Hef. apply refl_equal.
% 11.48/11.66 apply zenon_H19b. apply sym_equal. exact zenon_He1.
% 11.48/11.66 apply zenon_Hef. apply refl_equal.
% 11.48/11.66 apply zenon_Hef. apply refl_equal.
% 11.48/11.66 (* end of lemma zenon_L958_ *)
% 11.48/11.66 assert (zenon_L959_ : (((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) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((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)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 11.48/11.66 do 0 intro. intros zenon_H92 zenon_H25f zenon_He5 zenon_H222 zenon_H2c zenon_H1f3 zenon_H16a zenon_Hc3 zenon_H223 zenon_He0 zenon_H20 zenon_H197 zenon_H27 zenon_H95 zenon_Hb5 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H72 zenon_H154 zenon_Hed zenon_He3.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.48/11.66 exact (zenon_H25f zenon_H6d).
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.48/11.66 apply (zenon_L435_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.48/11.66 apply (zenon_L92_); trivial.
% 11.48/11.66 apply (zenon_L339_); trivial.
% 11.48/11.66 (* end of lemma zenon_L959_ *)
% 11.48/11.66 assert (zenon_L960_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((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))))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (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 (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e1) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.48/11.66 do 0 intro. intros zenon_H8d zenon_H251 zenon_H212 zenon_Hb7 zenon_H4d zenon_H49 zenon_H1aa zenon_Hf0 zenon_H15d zenon_H34 zenon_H236 zenon_Hfb zenon_Hcf zenon_Hf6 zenon_H10b zenon_H69 zenon_H30 zenon_H4c zenon_H13a zenon_H234 zenon_H12d zenon_H22e zenon_H210 zenon_H216 zenon_H11c zenon_Hfa zenon_Hcb zenon_H11b zenon_H19c zenon_Hc0 zenon_H5c zenon_H65 zenon_H19f zenon_H157 zenon_H18f zenon_Had zenon_H92 zenon_He5 zenon_H222 zenon_H2c zenon_H1f3 zenon_H16a zenon_Hc3 zenon_H223 zenon_H20 zenon_H197 zenon_H27 zenon_H95 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H72 zenon_H154 zenon_He3 zenon_H2e zenon_Hf3 zenon_H3c zenon_H56 zenon_H10e zenon_Hb5 zenon_H16c zenon_H25f zenon_He0 zenon_H26d zenon_H62 zenon_H41.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H2f | zenon_intro zenon_H1a0 ].
% 11.48/11.66 apply (zenon_L6_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a1 ].
% 11.48/11.66 apply (zenon_L545_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H5a | zenon_intro zenon_Hae ].
% 11.48/11.66 apply (zenon_L50_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.48/11.66 apply (zenon_L9_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.48/11.66 apply (zenon_L229_); trivial.
% 11.48/11.66 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.54/11.67 apply (zenon_L299_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.54/11.67 apply (zenon_L957_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.54/11.67 apply (zenon_L958_); trivial.
% 11.54/11.67 apply (zenon_L959_); trivial.
% 11.54/11.67 apply (zenon_L271_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.54/11.67 apply (zenon_L510_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.54/11.67 apply (zenon_L951_); trivial.
% 11.54/11.67 apply (zenon_L465_); trivial.
% 11.54/11.67 (* end of lemma zenon_L960_ *)
% 11.54/11.67 assert (zenon_L961_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 11.54/11.67 do 0 intro. intros zenon_Hfb zenon_H34 zenon_H3b zenon_H88 zenon_H20 zenon_Hcf zenon_Hf6 zenon_Hc3.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.54/11.67 apply (zenon_L59_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.54/11.67 apply (zenon_L92_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.54/11.67 exact (zenon_Hcf zenon_Hce).
% 11.54/11.67 apply (zenon_L77_); trivial.
% 11.54/11.67 (* end of lemma zenon_L961_ *)
% 11.54/11.67 assert (zenon_L962_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (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 (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (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) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((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)) = (e0)) -> (~((e0) = (e2))) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H49 zenon_H1aa zenon_H30 zenon_He3 zenon_Hed zenon_H154 zenon_H61 zenon_H117 zenon_H141 zenon_H16e zenon_H194 zenon_Hb5 zenon_H95 zenon_H197 zenon_Hfb zenon_H20 zenon_Hcf zenon_Hf3 zenon_H41 zenon_H3c zenon_He2 zenon_H34 zenon_H1f zenon_H10b zenon_H25f zenon_H92 zenon_H72 zenon_H27.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.54/11.67 apply (zenon_L208_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.54/11.67 apply (zenon_L211_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.54/11.67 exact (zenon_H25f zenon_H6d).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.54/11.67 apply (zenon_L223_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.54/11.67 apply (zenon_L661_); trivial.
% 11.54/11.67 apply (zenon_L339_); trivial.
% 11.54/11.67 apply (zenon_L180_); trivial.
% 11.54/11.67 (* end of lemma zenon_L962_ *)
% 11.54/11.67 assert (zenon_L963_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H4c zenon_H44 zenon_Hcb zenon_H167 zenon_Hf6 zenon_Hc3 zenon_H223 zenon_H16a zenon_H1f3 zenon_H222 zenon_He5 zenon_H27 zenon_H92 zenon_H25f zenon_H10b zenon_H34 zenon_H3c zenon_H41 zenon_Hf3 zenon_Hfb zenon_H197 zenon_H95 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H154 zenon_Hed zenon_He3 zenon_H30 zenon_H1aa zenon_H49 zenon_He2 zenon_Hb5 zenon_Hc0 zenon_H65 zenon_Hcf zenon_H19c zenon_H72 zenon_H20.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.54/11.67 apply (zenon_L208_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.54/11.67 apply (zenon_L58_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.54/11.67 apply (zenon_L243_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.54/11.67 exact (zenon_H25f zenon_H6d).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.54/11.67 apply (zenon_L435_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.54/11.67 apply (zenon_L961_); trivial.
% 11.54/11.67 apply (zenon_L339_); trivial.
% 11.54/11.67 apply (zenon_L379_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.54/11.67 apply (zenon_L567_); trivial.
% 11.54/11.67 apply (zenon_L180_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.54/11.67 apply (zenon_L962_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.54/11.67 apply (zenon_L579_); trivial.
% 11.54/11.67 apply (zenon_L182_); trivial.
% 11.54/11.67 (* end of lemma zenon_L963_ *)
% 11.54/11.67 assert (zenon_L964_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((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 (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((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 (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H161 zenon_H1b0 zenon_Hfa zenon_H1ca zenon_H23c zenon_Hb7 zenon_H1f0 zenon_H157 zenon_H11b zenon_H234 zenon_H12d zenon_H192 zenon_H228 zenon_H22e zenon_H10e zenon_H125 zenon_H5c zenon_H13f zenon_H245 zenon_H18f zenon_H101 zenon_H122 zenon_H105 zenon_Hf0 zenon_Hb9 zenon_H9e zenon_H212 zenon_H8d zenon_Hc4 zenon_H226 zenon_H242 zenon_H216 zenon_Hb8 zenon_H1e2 zenon_Had zenon_Hb0 zenon_H13a zenon_H15d zenon_H4c zenon_H44 zenon_Hcb zenon_H167 zenon_Hf6 zenon_H223 zenon_H16a zenon_H1f3 zenon_H222 zenon_He5 zenon_H27 zenon_H92 zenon_H25f zenon_H10b zenon_H34 zenon_H3c zenon_H41 zenon_Hf3 zenon_Hfb zenon_H197 zenon_H95 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H154 zenon_Hed zenon_He3 zenon_H30 zenon_H1aa zenon_H49 zenon_He2 zenon_Hb5 zenon_Hc0 zenon_H65 zenon_Hcf zenon_H19c zenon_H72 zenon_H20.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.54/11.67 exact (zenon_H234 zenon_H25).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.54/11.67 apply (zenon_L937_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.54/11.67 apply (zenon_L962_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.54/11.67 apply (zenon_L579_); trivial.
% 11.54/11.67 apply (zenon_L182_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.54/11.67 apply (zenon_L48_); trivial.
% 11.54/11.67 apply (zenon_L963_); trivial.
% 11.54/11.67 (* end of lemma zenon_L964_ *)
% 11.54/11.67 assert (zenon_L965_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((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) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (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) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (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) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H18e zenon_H234 zenon_He3 zenon_H38 zenon_H69 zenon_H255 zenon_Hed zenon_Hf3 zenon_Heb zenon_H15f zenon_Hfb zenon_H16c zenon_H161 zenon_Hfa zenon_H65 zenon_H27 zenon_H18f zenon_H4c zenon_H1ca zenon_H44 zenon_H20 zenon_H23c zenon_H154 zenon_H226 zenon_Hcb zenon_Hb9 zenon_H167 zenon_H141 zenon_H61 zenon_H117 zenon_H1e2 zenon_Hb7 zenon_H101 zenon_H1f0 zenon_H10b zenon_H157 zenon_H16e zenon_H11b zenon_H12d zenon_H222 zenon_H1f3 zenon_Hf0 zenon_H15d zenon_He5 zenon_H9e zenon_H16a zenon_H223 zenon_H197 zenon_H192 zenon_H228 zenon_H22e zenon_H10e zenon_H125 zenon_H5c zenon_H13f zenon_H245 zenon_H122 zenon_H105 zenon_H95 zenon_H212 zenon_H8d zenon_Hc4 zenon_Hc0 zenon_H242 zenon_H216 zenon_Hb8 zenon_Hf6 zenon_H30 zenon_H49 zenon_Had zenon_Hb0 zenon_H13a zenon_H1b0 zenon_Hb5 zenon_H41 zenon_H34 zenon_H3c zenon_H19c zenon_Hcf zenon_H90 zenon_H25f zenon_H194 zenon_H92 zenon_H1aa.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.54/11.67 exact (zenon_H234 zenon_H25).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.54/11.67 apply (zenon_L948_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.54/11.67 apply (zenon_L244_); trivial.
% 11.54/11.67 apply (zenon_L964_); trivial.
% 11.54/11.67 apply (zenon_L334_); trivial.
% 11.54/11.67 (* end of lemma zenon_L965_ *)
% 11.54/11.67 assert (zenon_L966_ : ((op (e0) (e1)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((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) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (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) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (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) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H2c zenon_Hc3 zenon_H3b zenon_H18e zenon_H234 zenon_He3 zenon_H38 zenon_H69 zenon_H255 zenon_Hed zenon_Hf3 zenon_Heb zenon_H15f zenon_Hfb zenon_H16c zenon_H161 zenon_Hfa zenon_H65 zenon_H27 zenon_H18f zenon_H4c zenon_H1ca zenon_H44 zenon_H20 zenon_H23c zenon_H154 zenon_H226 zenon_Hcb zenon_Hb9 zenon_H167 zenon_H141 zenon_H61 zenon_H117 zenon_H1e2 zenon_Hb7 zenon_H101 zenon_H1f0 zenon_H10b zenon_H157 zenon_H16e zenon_H11b zenon_H12d zenon_H222 zenon_H1f3 zenon_Hf0 zenon_H15d zenon_He5 zenon_H9e zenon_H16a zenon_H223 zenon_H197 zenon_H192 zenon_H228 zenon_H22e zenon_H10e zenon_H125 zenon_H5c zenon_H13f zenon_H245 zenon_H122 zenon_H105 zenon_H95 zenon_H212 zenon_H8d zenon_Hc4 zenon_Hc0 zenon_H242 zenon_H216 zenon_Hb8 zenon_Hf6 zenon_H30 zenon_H49 zenon_Had zenon_Hb0 zenon_H13a zenon_H1b0 zenon_Hb5 zenon_H41 zenon_H34 zenon_H3c zenon_H19c zenon_Hcf zenon_H25f zenon_H194 zenon_H92 zenon_H1aa.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.54/11.67 exact (zenon_H25f zenon_H6d).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.54/11.67 apply (zenon_L435_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.54/11.67 apply (zenon_L961_); trivial.
% 11.54/11.67 apply (zenon_L965_); trivial.
% 11.54/11.67 (* end of lemma zenon_L966_ *)
% 11.54/11.67 assert (zenon_L967_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e1)) = (op (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 (e2) (e0)) = (op (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) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (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) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (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 (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H18e zenon_H234 zenon_H19c zenon_H1aa zenon_H92 zenon_H72 zenon_H194 zenon_Hed zenon_He3 zenon_Hcf zenon_Hf3 zenon_Hfb zenon_H25f zenon_H3c zenon_H34 zenon_H41 zenon_Hb5 zenon_H1b0 zenon_H13a zenon_Hb0 zenon_Had zenon_H49 zenon_H30 zenon_Hf6 zenon_Hb8 zenon_H216 zenon_H242 zenon_Hc0 zenon_Hc4 zenon_H8d zenon_H212 zenon_H95 zenon_H105 zenon_H122 zenon_H245 zenon_H13f zenon_H5c zenon_H125 zenon_H10e zenon_H22e zenon_H228 zenon_H192 zenon_H197 zenon_H223 zenon_H16a zenon_H9e zenon_He5 zenon_H15d zenon_Hf0 zenon_H1f3 zenon_H222 zenon_H12d zenon_H11b zenon_H16e zenon_H157 zenon_H10b zenon_H1f0 zenon_H101 zenon_Hb7 zenon_H1e2 zenon_H117 zenon_H61 zenon_H141 zenon_H167 zenon_Hb9 zenon_Hcb zenon_H226 zenon_H154 zenon_H23c zenon_H20 zenon_H44 zenon_H1ca zenon_H4c zenon_H18f zenon_H27 zenon_H65 zenon_Hfa zenon_H161.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.54/11.67 apply (zenon_L964_); trivial.
% 11.54/11.67 apply (zenon_L334_); trivial.
% 11.54/11.67 (* end of lemma zenon_L967_ *)
% 11.54/11.67 assert (zenon_L968_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H251 zenon_H252 zenon_H99 zenon_H15d zenon_H13a zenon_H72 zenon_Hf0 zenon_H34 zenon_H223 zenon_H1d8 zenon_Hcf zenon_H26d zenon_H25f zenon_H16c zenon_Hb5 zenon_H10e zenon_H89 zenon_H2e zenon_H20 zenon_Hfb zenon_H56 zenon_H1f3 zenon_H2c zenon_H222 zenon_He5.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.54/11.67 apply (zenon_L61_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.54/11.67 apply (zenon_L951_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.54/11.67 exact (zenon_Hcf zenon_Hce).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.54/11.67 exact (zenon_H252 zenon_H15e).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.54/11.67 apply (zenon_L542_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.54/11.67 apply (zenon_L89_); trivial.
% 11.54/11.67 apply (zenon_L954_); trivial.
% 11.54/11.67 (* end of lemma zenon_L968_ *)
% 11.54/11.67 assert (zenon_L969_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((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) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((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)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (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)))) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H19f zenon_H30 zenon_Hf6 zenon_Hcf zenon_H2e zenon_Hfb zenon_Hc0 zenon_H251 zenon_H252 zenon_Hf0 zenon_H99 zenon_H15d zenon_H62 zenon_H34 zenon_H236 zenon_H41 zenon_H92 zenon_H25f zenon_He5 zenon_H222 zenon_H2c zenon_H1f3 zenon_H16a zenon_Hc3 zenon_H223 zenon_He0 zenon_H20 zenon_H197 zenon_H27 zenon_H95 zenon_Hb5 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H72 zenon_H154 zenon_He3.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H2f | zenon_intro zenon_H1a0 ].
% 11.54/11.67 apply (zenon_L6_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a1 ].
% 11.54/11.67 apply (zenon_L545_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H5a | zenon_intro zenon_Hae ].
% 11.54/11.67 apply (zenon_L50_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.54/11.67 exact (zenon_H252 zenon_H15e).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.54/11.67 apply (zenon_L550_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.54/11.67 apply (zenon_L271_); trivial.
% 11.54/11.67 apply (zenon_L959_); trivial.
% 11.54/11.67 (* end of lemma zenon_L969_ *)
% 11.54/11.67 assert (zenon_L970_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H12d zenon_H234 zenon_H161 zenon_H252 zenon_H4c zenon_H44 zenon_Hcb zenon_H167 zenon_Hf6 zenon_H223 zenon_H16a zenon_H1f3 zenon_H222 zenon_He5 zenon_H27 zenon_H92 zenon_H25f zenon_H10b zenon_H34 zenon_H3c zenon_H41 zenon_Hf3 zenon_Hfb zenon_H197 zenon_H95 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H154 zenon_Hed zenon_He3 zenon_H30 zenon_H1aa zenon_H49 zenon_He2 zenon_Hb5 zenon_Hc0 zenon_H65 zenon_Hcf zenon_H19c zenon_H72 zenon_H20.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.54/11.67 exact (zenon_H234 zenon_H25).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.54/11.67 apply (zenon_L566_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.54/11.67 apply (zenon_L962_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.54/11.67 apply (zenon_L579_); trivial.
% 11.54/11.67 apply (zenon_L182_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.54/11.67 apply (zenon_L48_); trivial.
% 11.54/11.67 apply (zenon_L963_); trivial.
% 11.54/11.67 (* end of lemma zenon_L970_ *)
% 11.54/11.67 assert (zenon_L971_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e3) (e3)) = (e3))/\(((~((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 (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (((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)) = (e0))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (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 (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (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 (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H18e zenon_H234 zenon_H12d zenon_H1aa zenon_H16c zenon_H10b zenon_Hfb zenon_Hf6 zenon_H10e zenon_H15f zenon_Heb zenon_Hf3 zenon_Hfa zenon_H16e zenon_H13a zenon_Hed zenon_H255 zenon_Hcb zenon_H69 zenon_H38 zenon_H49 zenon_H27 zenon_H161 zenon_H252 zenon_Hb5 zenon_H41 zenon_H34 zenon_H3c zenon_H20 zenon_H19c zenon_Hc0 zenon_H65 zenon_Hcf zenon_H61 zenon_H90 zenon_H4c zenon_H167 zenon_H16a zenon_H1f3 zenon_H222 zenon_He5 zenon_H223 zenon_H44 zenon_H25f zenon_H197 zenon_H154 zenon_H141 zenon_H95 zenon_H117 zenon_He3 zenon_H194 zenon_H92 zenon_H30 zenon_H18f.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.54/11.67 exact (zenon_H234 zenon_H25).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.54/11.67 apply (zenon_L589_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.54/11.67 apply (zenon_L587_); trivial.
% 11.54/11.67 apply (zenon_L970_); trivial.
% 11.54/11.67 apply (zenon_L334_); trivial.
% 11.54/11.67 (* end of lemma zenon_L971_ *)
% 11.54/11.67 assert (zenon_L972_ : ((~((op (e1) (e1)) = (e0)))\/(~((op (e1) (e0)) = (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e0)))\/(~((op (e3) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (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 (e3) (e0)) = (op (e3) (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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((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)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((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) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (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 (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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) (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 (e2) (e2)) = (e0)))\/(~((op (e2) (e0)) = (e2)))) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H25c zenon_H26d zenon_H25d zenon_H234 zenon_Hc4 zenon_H49 zenon_H34 zenon_H3c zenon_Hfb zenon_H226 zenon_H222 zenon_H251 zenon_H1d8 zenon_H223 zenon_H41 zenon_H13a zenon_He5 zenon_Hf0 zenon_H15d zenon_H1f3 zenon_H101 zenon_H1f0 zenon_Hb0 zenon_H197 zenon_H10e zenon_H8d zenon_H1aa zenon_H212 zenon_H18f zenon_H236 zenon_H141 zenon_He3 zenon_H69 zenon_H12d zenon_H16a zenon_H16c zenon_H61 zenon_H113 zenon_H10b zenon_Hb7 zenon_H210 zenon_H216 zenon_Hf6 zenon_H22e zenon_H30 zenon_H1ca zenon_H4c zenon_H27 zenon_Hb5 zenon_Hcb zenon_H11b zenon_H20 zenon_H157 zenon_H19c zenon_H65 zenon_H5c zenon_Hc0 zenon_Had zenon_H19f zenon_Hfa zenon_Hf3 zenon_Heb zenon_H194 zenon_H1d5 zenon_H1df zenon_H71 zenon_H161 zenon_H44 zenon_H23c zenon_H154 zenon_Hb9 zenon_H167 zenon_H117 zenon_H1e2 zenon_H16e zenon_H192 zenon_H228 zenon_H125 zenon_H13f zenon_H245 zenon_H122 zenon_H105 zenon_H95 zenon_H242 zenon_Hb8 zenon_H1b0 zenon_H255 zenon_H92 zenon_H25e.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25f ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_Hcf | zenon_intro zenon_H258 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H9e | zenon_intro zenon_H252 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.54/11.67 apply (zenon_L458_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H4d | zenon_intro zenon_H1e ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.54/11.67 exact (zenon_H234 zenon_H25).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.54/11.67 apply (zenon_L531_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.54/11.67 apply (zenon_L537_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.54/11.67 exact (zenon_H234 zenon_H25).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.54/11.67 exact (zenon_H4d zenon_H4f).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.54/11.67 apply (zenon_L223_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.54/11.67 exact (zenon_H4d zenon_H4f).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.54/11.67 apply (zenon_L459_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.54/11.67 apply (zenon_L108_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.54/11.67 apply (zenon_L208_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.54/11.67 apply (zenon_L118_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.54/11.67 apply (zenon_L510_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.54/11.67 apply (zenon_L297_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.54/11.67 apply (zenon_L69_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.54/11.67 exact (zenon_Hcf zenon_Hce).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.54/11.67 apply (zenon_L361_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.54/11.67 apply (zenon_L355_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.54/11.67 apply (zenon_L933_); trivial.
% 11.54/11.67 apply (zenon_L541_); trivial.
% 11.54/11.67 apply (zenon_L544_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.54/11.67 apply (zenon_L6_); trivial.
% 11.54/11.67 apply (zenon_L180_); trivial.
% 11.54/11.67 apply (zenon_L536_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.54/11.67 apply (zenon_L48_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.54/11.67 exact (zenon_H4d zenon_H4f).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.54/11.67 apply (zenon_L223_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.54/11.67 exact (zenon_H4d zenon_H4f).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.54/11.67 apply (zenon_L459_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.54/11.67 apply (zenon_L108_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.54/11.67 apply (zenon_L208_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.54/11.67 apply (zenon_L118_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.54/11.67 apply (zenon_L510_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.54/11.67 apply (zenon_L297_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.54/11.67 apply (zenon_L69_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.54/11.67 exact (zenon_Hcf zenon_Hce).
% 11.54/11.67 apply (zenon_L77_); trivial.
% 11.54/11.67 apply (zenon_L544_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ].
% 11.54/11.67 exact (zenon_H207 zenon_H10c).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.54/11.67 apply (zenon_L343_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.54/11.67 apply (zenon_L353_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.54/11.67 apply (zenon_L545_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H2f | zenon_intro zenon_H1a0 ].
% 11.54/11.67 apply (zenon_L6_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a1 ].
% 11.54/11.67 apply (zenon_L545_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H5a | zenon_intro zenon_Hae ].
% 11.54/11.67 apply (zenon_L50_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.54/11.67 apply (zenon_L299_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.54/11.67 apply (zenon_L552_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.54/11.67 apply (zenon_L271_); trivial.
% 11.54/11.67 apply (zenon_L435_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.54/11.67 apply (zenon_L510_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.54/11.67 apply (zenon_L69_); trivial.
% 11.54/11.67 apply (zenon_L465_); trivial.
% 11.54/11.67 apply (zenon_L335_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.54/11.67 apply (zenon_L6_); trivial.
% 11.54/11.67 apply (zenon_L180_); trivial.
% 11.54/11.67 apply (zenon_L182_); trivial.
% 11.54/11.67 apply (zenon_L552_); trivial.
% 11.54/11.67 apply (zenon_L532_); trivial.
% 11.54/11.67 apply (zenon_L533_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.54/11.67 apply (zenon_L553_); trivial.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.54/11.67 exact (zenon_H234 zenon_H25).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.54/11.67 exact (zenon_H234 zenon_H25).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.54/11.67 apply (zenon_L934_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.54/11.67 apply (zenon_L48_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.54/11.67 apply (zenon_L208_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.54/11.67 apply (zenon_L935_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.54/11.67 apply (zenon_L936_); trivial.
% 11.54/11.67 apply (zenon_L565_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.54/11.67 apply (zenon_L244_); trivial.
% 11.54/11.67 apply (zenon_L947_); trivial.
% 11.54/11.67 apply (zenon_L334_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.54/11.67 exact (zenon_H234 zenon_H25).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.54/11.67 apply (zenon_L948_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.54/11.67 apply (zenon_L244_); trivial.
% 11.54/11.67 apply (zenon_L339_); trivial.
% 11.54/11.67 apply (zenon_L334_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.54/11.67 apply (zenon_L947_); trivial.
% 11.54/11.67 apply (zenon_L334_); trivial.
% 11.54/11.67 apply (zenon_L339_); trivial.
% 11.54/11.67 apply (zenon_L590_); trivial.
% 11.54/11.67 exact (zenon_H258 zenon_Hb5).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_Hcf | zenon_intro zenon_H258 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H9e | zenon_intro zenon_H252 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.54/11.67 apply (zenon_L458_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H4d | zenon_intro zenon_H1e ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.54/11.67 exact (zenon_H234 zenon_H25).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.54/11.67 apply (zenon_L533_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.54/11.67 apply (zenon_L950_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.54/11.67 exact (zenon_H234 zenon_H25).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.54/11.67 exact (zenon_H4d zenon_H4f).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.54/11.67 apply (zenon_L223_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.54/11.67 exact (zenon_H4d zenon_H4f).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.54/11.67 exact (zenon_H25f zenon_H6d).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.54/11.67 apply (zenon_L108_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.54/11.67 apply (zenon_L208_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.54/11.67 apply (zenon_L118_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.54/11.67 apply (zenon_L510_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.54/11.67 apply (zenon_L61_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.54/11.67 apply (zenon_L951_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.54/11.67 exact (zenon_Hcf zenon_Hce).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.54/11.67 apply (zenon_L538_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.54/11.67 apply (zenon_L355_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.54/11.67 apply (zenon_L955_); trivial.
% 11.54/11.67 apply (zenon_L541_); trivial.
% 11.54/11.67 apply (zenon_L544_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.54/11.67 apply (zenon_L6_); trivial.
% 11.54/11.67 apply (zenon_L180_); trivial.
% 11.54/11.67 apply (zenon_L949_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.54/11.67 apply (zenon_L48_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.54/11.67 exact (zenon_H4d zenon_H4f).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.54/11.67 apply (zenon_L223_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.54/11.67 apply (zenon_L208_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.54/11.67 apply (zenon_L343_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.54/11.67 apply (zenon_L353_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.54/11.67 apply (zenon_L545_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.54/11.67 apply (zenon_L61_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.54/11.67 apply (zenon_L960_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.54/11.67 exact (zenon_Hcf zenon_Hce).
% 11.54/11.67 apply (zenon_L77_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.54/11.67 apply (zenon_L6_); trivial.
% 11.54/11.67 apply (zenon_L180_); trivial.
% 11.54/11.67 apply (zenon_L182_); trivial.
% 11.54/11.67 apply (zenon_L957_); trivial.
% 11.54/11.67 apply (zenon_L532_); trivial.
% 11.54/11.67 apply (zenon_L533_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.54/11.67 apply (zenon_L553_); trivial.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.54/11.67 exact (zenon_H234 zenon_H25).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.54/11.67 exact (zenon_H234 zenon_H25).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.54/11.67 apply (zenon_L934_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.54/11.67 apply (zenon_L48_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.54/11.67 apply (zenon_L208_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.54/11.67 exact (zenon_H38 zenon_H33).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.54/11.67 apply (zenon_L65_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.54/11.67 apply (zenon_L966_); trivial.
% 11.54/11.67 apply (zenon_L113_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.54/11.67 apply (zenon_L936_); trivial.
% 11.54/11.67 apply (zenon_L565_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.54/11.67 apply (zenon_L244_); trivial.
% 11.54/11.67 apply (zenon_L967_); trivial.
% 11.54/11.67 apply (zenon_L334_); trivial.
% 11.54/11.67 apply (zenon_L967_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.54/11.67 apply (zenon_L458_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H4d | zenon_intro zenon_H1e ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.54/11.67 exact (zenon_H234 zenon_H25).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.54/11.67 apply (zenon_L533_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.54/11.67 apply (zenon_L950_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.54/11.67 exact (zenon_H234 zenon_H25).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.54/11.67 exact (zenon_H4d zenon_H4f).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.54/11.67 apply (zenon_L223_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.54/11.67 exact (zenon_H4d zenon_H4f).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.54/11.67 exact (zenon_H25f zenon_H6d).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.54/11.67 apply (zenon_L108_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.54/11.67 apply (zenon_L208_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.54/11.67 apply (zenon_L118_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.54/11.67 apply (zenon_L510_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.54/11.67 apply (zenon_L968_); trivial.
% 11.54/11.67 apply (zenon_L544_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.54/11.67 apply (zenon_L6_); trivial.
% 11.54/11.67 apply (zenon_L180_); trivial.
% 11.54/11.67 apply (zenon_L949_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.54/11.67 apply (zenon_L48_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.54/11.67 exact (zenon_H4d zenon_H4f).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.54/11.67 apply (zenon_L223_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.54/11.67 exact (zenon_H4d zenon_H4f).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.54/11.67 exact (zenon_H25f zenon_H6d).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.54/11.67 apply (zenon_L108_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.54/11.67 apply (zenon_L208_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ].
% 11.54/11.67 apply (zenon_L343_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 11.54/11.67 apply (zenon_L353_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ].
% 11.54/11.67 apply (zenon_L545_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.54/11.67 apply (zenon_L297_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.54/11.67 apply (zenon_L969_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.54/11.67 exact (zenon_Hcf zenon_Hce).
% 11.54/11.67 apply (zenon_L77_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.54/11.67 apply (zenon_L6_); trivial.
% 11.54/11.67 apply (zenon_L180_); trivial.
% 11.54/11.67 apply (zenon_L182_); trivial.
% 11.54/11.67 apply (zenon_L532_); trivial.
% 11.54/11.67 apply (zenon_L533_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.54/11.67 apply (zenon_L553_); trivial.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.54/11.67 exact (zenon_H234 zenon_H25).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.54/11.67 exact (zenon_H234 zenon_H25).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.54/11.67 apply (zenon_L554_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.54/11.67 apply (zenon_L48_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.54/11.67 apply (zenon_L208_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.54/11.67 exact (zenon_H38 zenon_H33).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.54/11.67 apply (zenon_L8_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.54/11.67 exact (zenon_H25f zenon_H6d).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.54/11.67 apply (zenon_L435_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.54/11.67 apply (zenon_L961_); trivial.
% 11.54/11.67 apply (zenon_L971_); trivial.
% 11.54/11.67 apply (zenon_L113_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.54/11.67 apply (zenon_L561_); trivial.
% 11.54/11.67 apply (zenon_L588_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.54/11.67 apply (zenon_L587_); trivial.
% 11.54/11.67 apply (zenon_L970_); trivial.
% 11.54/11.67 apply (zenon_L334_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.54/11.67 apply (zenon_L970_); trivial.
% 11.54/11.67 apply (zenon_L334_); trivial.
% 11.54/11.67 exact (zenon_H258 zenon_Hb5).
% 11.54/11.67 (* end of lemma zenon_L972_ *)
% 11.54/11.67 assert (zenon_L973_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H19c zenon_Hcf zenon_H11c zenon_Hc8 zenon_Hc7 zenon_H96 zenon_H6f.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ].
% 11.54/11.67 exact (zenon_Hcf zenon_Hce).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ].
% 11.54/11.67 exact (zenon_H11c zenon_H11f).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ].
% 11.54/11.67 apply (zenon_L54_); trivial.
% 11.54/11.67 apply (zenon_L482_); trivial.
% 11.54/11.67 (* end of lemma zenon_L973_ *)
% 11.54/11.67 assert (zenon_L974_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H11b zenon_Hc8 zenon_Hcf zenon_H19c zenon_Hc7 zenon_H30 zenon_H11c zenon_H96 zenon_H20.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.54/11.67 apply (zenon_L973_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.54/11.67 apply (zenon_L95_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.54/11.67 exact (zenon_H11c zenon_H11f).
% 11.54/11.67 apply (zenon_L166_); trivial.
% 11.54/11.67 (* end of lemma zenon_L974_ *)
% 11.54/11.67 assert (zenon_L975_ : (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((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)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H51 zenon_Hc4 zenon_H1aa zenon_H27 zenon_Hc7 zenon_H11b zenon_H20 zenon_H30 zenon_H11c zenon_Hc8 zenon_H19c zenon_Hfa.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hb5 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.54/11.67 apply (zenon_L624_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.54/11.67 apply (zenon_L164_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.54/11.67 exact (zenon_Hcf zenon_Hce).
% 11.54/11.67 apply (zenon_L974_); trivial.
% 11.54/11.67 apply (zenon_L532_); trivial.
% 11.54/11.67 (* end of lemma zenon_L975_ *)
% 11.54/11.67 assert (zenon_L976_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H18e zenon_H18b zenon_H11b zenon_H90 zenon_H117 zenon_H11c zenon_Hc7 zenon_H30 zenon_H3c zenon_H41 zenon_He3 zenon_Hed zenon_H167.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ].
% 11.54/11.67 apply (zenon_L137_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ].
% 11.54/11.67 apply (zenon_L131_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ].
% 11.54/11.67 exact (zenon_He2 zenon_He1).
% 11.54/11.67 apply (zenon_L144_); trivial.
% 11.54/11.67 apply (zenon_L184_); trivial.
% 11.54/11.67 (* end of lemma zenon_L976_ *)
% 11.54/11.67 assert (zenon_L977_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H18e zenon_H18b zenon_H11b zenon_H90 zenon_H117 zenon_H11c zenon_Hc7 zenon_H30 zenon_H20 zenon_H27 zenon_H3c zenon_He3 zenon_Hed zenon_H167 zenon_H16e zenon_H72 zenon_Hfa.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.54/11.67 apply (zenon_L177_); trivial.
% 11.54/11.67 apply (zenon_L184_); trivial.
% 11.54/11.67 (* end of lemma zenon_L977_ *)
% 11.54/11.67 assert (zenon_L978_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H1b6 zenon_H4c zenon_H105 zenon_He5 zenon_H148 zenon_H30 zenon_Hcb zenon_Hc7 zenon_H161 zenon_H15d zenon_H187 zenon_H54 zenon_Hf3 zenon_Hed zenon_Heb zenon_H41 zenon_Hfa zenon_H72 zenon_H16e zenon_H167 zenon_He3 zenon_H27 zenon_H20 zenon_H11c zenon_H117 zenon_H11b zenon_H92 zenon_H3c zenon_H49 zenon_H18b zenon_H18e.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.54/11.67 apply (zenon_L183_); trivial.
% 11.54/11.67 apply (zenon_L184_); trivial.
% 11.54/11.67 apply (zenon_L977_); trivial.
% 11.54/11.67 (* end of lemma zenon_L978_ *)
% 11.54/11.67 assert (zenon_L979_ : ((~((op (e2) (e2)) = (e1)))\/(~((op (e2) (e1)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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)))))))))) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H1af zenon_Hfa zenon_H19c zenon_Hc8 zenon_H30 zenon_H20 zenon_H11b zenon_Hc7 zenon_H27 zenon_H1aa zenon_Hc4 zenon_H54 zenon_H18f zenon_H92 zenon_Heb zenon_Hf3 zenon_H187 zenon_H65 zenon_H4d zenon_H148 zenon_He5 zenon_H41 zenon_H3c zenon_Hb7 zenon_H44 zenon_H16a zenon_H105 zenon_H34 zenon_He3 zenon_H167 zenon_Hcb zenon_H161 zenon_H15d zenon_H154 zenon_H141 zenon_H61 zenon_H117 zenon_H14f zenon_H157 zenon_H15a zenon_H49 zenon_H16c zenon_H16e zenon_H4c zenon_H18b zenon_H1b0.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11c | zenon_intro zenon_H1a9 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.54/11.67 apply (zenon_L975_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.54/11.67 apply (zenon_L19_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.54/11.67 apply (zenon_L801_); trivial.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.54/11.67 apply (zenon_L185_); trivial.
% 11.54/11.67 apply (zenon_L976_); trivial.
% 11.54/11.67 apply (zenon_L978_); trivial.
% 11.54/11.67 exact (zenon_H1a9 zenon_Hc7).
% 11.54/11.67 (* end of lemma zenon_L979_ *)
% 11.54/11.67 assert (zenon_L980_ : ((~((op (e2) (e2)) = (e1)))\/(~((op (e2) (e1)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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)))))))))) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H1af zenon_Hfa zenon_H19c zenon_Hc8 zenon_H30 zenon_H20 zenon_H11b zenon_Hc7 zenon_H27 zenon_H1aa zenon_Hc4 zenon_H54 zenon_H18f zenon_H92 zenon_Heb zenon_Hf3 zenon_H187 zenon_H65 zenon_H271 zenon_H148 zenon_He5 zenon_H41 zenon_H3c zenon_Hb7 zenon_H44 zenon_H16a zenon_H105 zenon_H34 zenon_He3 zenon_H167 zenon_Hcb zenon_H161 zenon_H15d zenon_H154 zenon_H141 zenon_H61 zenon_H117 zenon_H14f zenon_H157 zenon_H15a zenon_H49 zenon_H16c zenon_H16e zenon_H4c zenon_H18b zenon_H1b0.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11c | zenon_intro zenon_H1a9 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.54/11.67 apply (zenon_L975_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.54/11.67 apply (zenon_L19_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.54/11.67 apply (zenon_L801_); trivial.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5.
% 11.54/11.67 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.54/11.67 apply (zenon_L153_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.54/11.67 exact (zenon_H271 zenon_H1e).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.54/11.67 apply (zenon_L170_); trivial.
% 11.54/11.67 apply (zenon_L183_); trivial.
% 11.54/11.67 apply (zenon_L184_); trivial.
% 11.54/11.67 apply (zenon_L976_); trivial.
% 11.54/11.67 apply (zenon_L978_); trivial.
% 11.54/11.67 exact (zenon_H1a9 zenon_Hc7).
% 11.54/11.67 (* end of lemma zenon_L980_ *)
% 11.54/11.67 assert (zenon_L981_ : (((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 (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H154 zenon_H96 zenon_H91 zenon_H117 zenon_H18a zenon_H61 zenon_H40.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H7a | zenon_intro zenon_H155 ].
% 11.54/11.67 apply (zenon_L187_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H90 | zenon_intro zenon_H156 ].
% 11.54/11.67 exact (zenon_H91 zenon_H90).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 11.54/11.67 apply (zenon_L332_); trivial.
% 11.54/11.67 apply (zenon_L634_); trivial.
% 11.54/11.67 (* end of lemma zenon_L981_ *)
% 11.54/11.67 assert (zenon_L982_ : (((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) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.54/11.67 do 0 intro. intros zenon_Hfa zenon_H25 zenon_H1aa zenon_H226 zenon_H15e zenon_H95 zenon_H16c zenon_H6d zenon_Hc4 zenon_H242 zenon_Hcf zenon_H154 zenon_H91 zenon_H117 zenon_H18a zenon_H61 zenon_H40.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.54/11.67 apply (zenon_L624_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.54/11.67 apply (zenon_L656_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.54/11.67 exact (zenon_Hcf zenon_Hce).
% 11.54/11.67 apply (zenon_L981_); trivial.
% 11.54/11.67 (* end of lemma zenon_L982_ *)
% 11.54/11.67 assert (zenon_L983_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (((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) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H44 zenon_H34 zenon_H3c zenon_H1f zenon_H41 zenon_H2f zenon_Hfa zenon_H25 zenon_H1aa zenon_H226 zenon_H15e zenon_H95 zenon_H16c zenon_H6d zenon_Hc4 zenon_H242 zenon_Hcf zenon_H154 zenon_H91 zenon_H117 zenon_H18a zenon_H61.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.54/11.67 apply (zenon_L7_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.54/11.67 apply (zenon_L130_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.54/11.67 apply (zenon_L13_); trivial.
% 11.54/11.67 apply (zenon_L982_); trivial.
% 11.54/11.67 (* end of lemma zenon_L983_ *)
% 11.54/11.67 assert (zenon_L984_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (((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) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H161 zenon_H40 zenon_H11b zenon_Hcb zenon_H30 zenon_H44 zenon_H34 zenon_H3c zenon_H1f zenon_H41 zenon_H2f zenon_Hfa zenon_H25 zenon_H1aa zenon_H226 zenon_H95 zenon_H16c zenon_H6d zenon_Hc4 zenon_H242 zenon_Hcf zenon_H154 zenon_H91 zenon_H117 zenon_H18a zenon_H61.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.54/11.67 apply (zenon_L7_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.54/11.67 apply (zenon_L123_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.54/11.67 apply (zenon_L624_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.54/11.67 apply (zenon_L639_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.54/11.67 exact (zenon_Hcf zenon_Hce).
% 11.54/11.67 apply (zenon_L981_); trivial.
% 11.54/11.67 apply (zenon_L983_); trivial.
% 11.54/11.67 (* end of lemma zenon_L984_ *)
% 11.54/11.67 assert (zenon_L985_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((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)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((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) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H49 zenon_H91 zenon_Hfb zenon_H27 zenon_H20 zenon_Hcf zenon_Hf3 zenon_H41 zenon_H3c zenon_He2 zenon_H34 zenon_H1f zenon_H10b zenon_H161 zenon_H11b zenon_Hcb zenon_H30 zenon_H44 zenon_Hfa zenon_H25 zenon_H1aa zenon_H226 zenon_H95 zenon_H16c zenon_Hc4 zenon_H242 zenon_H154 zenon_H117 zenon_H61 zenon_H92 zenon_H18a zenon_H16e.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.54/11.67 apply (zenon_L3_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.54/11.67 apply (zenon_L211_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.54/11.67 apply (zenon_L7_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.54/11.67 apply (zenon_L130_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.54/11.67 apply (zenon_L13_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.54/11.67 apply (zenon_L984_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.54/11.67 apply (zenon_L223_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.54/11.67 apply (zenon_L661_); trivial.
% 11.54/11.67 exact (zenon_H91 zenon_H90).
% 11.54/11.67 apply (zenon_L213_); trivial.
% 11.54/11.67 (* end of lemma zenon_L985_ *)
% 11.54/11.67 assert (zenon_L986_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H148 zenon_Hcb zenon_He3 zenon_H19c zenon_H6f zenon_Had zenon_H222 zenon_H2c zenon_H251 zenon_H233 zenon_Hb0 zenon_H20 zenon_He0 zenon_H47 zenon_H210 zenon_H22e zenon_H11b zenon_H41 zenon_He2 zenon_H1cb zenon_H3c zenon_H167 zenon_H56 zenon_H157 zenon_H11c zenon_H30 zenon_H18a.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.54/11.67 apply (zenon_L680_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.54/11.67 apply (zenon_L510_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.54/11.67 apply (zenon_L691_); trivial.
% 11.54/11.67 apply (zenon_L690_); trivial.
% 11.54/11.67 (* end of lemma zenon_L986_ *)
% 11.54/11.67 assert (zenon_L987_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H1d5 zenon_H11c zenon_H157 zenon_H56 zenon_H167 zenon_H3c zenon_H1cb zenon_He2 zenon_H41 zenon_H11b zenon_H22e zenon_H210 zenon_He0 zenon_H20 zenon_Hb0 zenon_H233 zenon_H251 zenon_H2c zenon_H222 zenon_Had zenon_H6f zenon_H19c zenon_He3 zenon_Hcb zenon_H148 zenon_H91 zenon_H18a zenon_H30 zenon_H1e5.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H47 | zenon_intro zenon_H1d6 ].
% 11.54/11.67 apply (zenon_L986_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H90 | zenon_intro zenon_H1d7 ].
% 11.54/11.67 exact (zenon_H91 zenon_H90).
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H118 | zenon_intro zenon_He7 ].
% 11.54/11.67 apply (zenon_L245_); trivial.
% 11.54/11.67 exact (zenon_H1e5 zenon_He7).
% 11.54/11.67 (* end of lemma zenon_L987_ *)
% 11.54/11.67 assert (zenon_L988_ : (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((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)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H1e5 zenon_H91 zenon_H148 zenon_Hcb zenon_He3 zenon_H19c zenon_Had zenon_H222 zenon_H2c zenon_H251 zenon_H233 zenon_Hb0 zenon_H20 zenon_He0 zenon_H210 zenon_H22e zenon_H11b zenon_H41 zenon_He2 zenon_H1cb zenon_H3c zenon_H167 zenon_H1d5 zenon_H56 zenon_H157 zenon_H11c zenon_H30 zenon_H18a.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.54/11.67 apply (zenon_L987_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.54/11.67 apply (zenon_L239_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.54/11.67 exact (zenon_H11c zenon_H11f).
% 11.54/11.67 apply (zenon_L245_); trivial.
% 11.54/11.67 (* end of lemma zenon_L988_ *)
% 11.54/11.67 assert (zenon_L989_ : (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H34 zenon_H10e zenon_H75 zenon_H2e zenon_Hf3 zenon_H1e5 zenon_H91 zenon_H148 zenon_Hcb zenon_He3 zenon_H19c zenon_Had zenon_H222 zenon_H2c zenon_H251 zenon_H233 zenon_Hb0 zenon_H20 zenon_H210 zenon_H22e zenon_H1d5 zenon_Hfb zenon_H11b zenon_H41 zenon_He2 zenon_H1cb zenon_H3c zenon_H167 zenon_H56 zenon_H157 zenon_H11c zenon_H30 zenon_H18a.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.54/11.67 apply (zenon_L680_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.54/11.67 apply (zenon_L510_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.54/11.67 apply (zenon_L61_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.54/11.67 apply (zenon_L988_); trivial.
% 11.54/11.67 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.54/11.67 apply (zenon_L698_); trivial.
% 11.54/11.67 apply (zenon_L684_); trivial.
% 11.54/11.67 apply (zenon_L690_); trivial.
% 11.54/11.67 (* end of lemma zenon_L989_ *)
% 11.54/11.67 assert (zenon_L990_ : (((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)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (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) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 11.54/11.67 do 0 intro. intros zenon_H4c zenon_H10b zenon_H1d5 zenon_H91 zenon_H16e zenon_H18a zenon_H44 zenon_H34 zenon_H25 zenon_He2 zenon_Hcb zenon_H11b zenon_H157 zenon_H30 zenon_H167 zenon_H41 zenon_H3c zenon_H16a zenon_H1e5 zenon_H101 zenon_H1f3 zenon_H1f0 zenon_Hb0 zenon_H233 zenon_H1cb zenon_H251 zenon_H222 zenon_Had zenon_H19c zenon_He3 zenon_H148 zenon_Hf3 zenon_H10e zenon_H20 zenon_Hfb zenon_Hb7 zenon_H4d zenon_H1ca zenon_H161 zenon_H27 zenon_H49 zenon_H22e zenon_H210 zenon_H216 zenon_H56 zenon_H11c zenon_Hf6.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.54/11.68 exact (zenon_H4d zenon_H4f).
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.54/11.68 apply (zenon_L223_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.54/11.68 apply (zenon_L3_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.54/11.68 apply (zenon_L7_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.54/11.68 apply (zenon_L989_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.54/11.68 apply (zenon_L679_); trivial.
% 11.54/11.68 apply (zenon_L477_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.54/11.68 apply (zenon_L6_); trivial.
% 11.54/11.68 apply (zenon_L213_); trivial.
% 11.54/11.68 apply (zenon_L695_); trivial.
% 11.54/11.68 (* end of lemma zenon_L990_ *)
% 11.54/11.68 assert (zenon_L991_ : ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((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) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((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 (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((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 (e2) (e3)))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (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))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_H1b0 zenon_H92 zenon_H117 zenon_H61 zenon_H154 zenon_H16c zenon_H1aa zenon_H242 zenon_H95 zenon_Hc4 zenon_H65 zenon_Hb9 zenon_H236 zenon_H18f zenon_H38 zenon_H1b8 zenon_H1e2 zenon_H263 zenon_H18b zenon_H106 zenon_H13a zenon_H226 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H203 zenon_H12d zenon_Hfa zenon_H122 zenon_He5 zenon_H223 zenon_Hf0 zenon_H15d zenon_Hc0 zenon_H10b zenon_H49 zenon_H16e zenon_H34 zenon_H20 zenon_H148 zenon_H210 zenon_Hb0 zenon_He3 zenon_Had zenon_H19c zenon_H222 zenon_H1cb zenon_H251 zenon_H22e zenon_H91 zenon_H1d5 zenon_Hf3 zenon_H10e zenon_Hfb zenon_H11b zenon_H30 zenon_H157 zenon_H3c zenon_Hcb zenon_He2 zenon_H41 zenon_H167 zenon_H1f0 zenon_H101 zenon_H1f3 zenon_H161 zenon_H27 zenon_H44 zenon_Hf6 zenon_Hb7 zenon_H216 zenon_H16a zenon_H1ca zenon_H4c zenon_H18a zenon_H192 zenon_H233.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.54/11.68 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52.
% 11.54/11.68 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6.
% 11.54/11.68 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8.
% 11.54/11.68 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hb5 ].
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ].
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.54/11.68 apply (zenon_L129_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.54/11.68 apply (zenon_L985_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.54/11.68 apply (zenon_L673_); trivial.
% 11.54/11.68 apply (zenon_L676_); trivial.
% 11.54/11.68 apply (zenon_L677_); trivial.
% 11.54/11.68 apply (zenon_L334_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.54/11.68 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 11.54/11.68 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf.
% 11.54/11.68 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc.
% 11.54/11.68 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H4d | zenon_intro zenon_H1e ].
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ].
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ].
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.54/11.68 apply (zenon_L990_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.54/11.68 apply (zenon_L727_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.54/11.68 apply (zenon_L725_); trivial.
% 11.54/11.68 apply (zenon_L726_); trivial.
% 11.54/11.68 apply (zenon_L690_); trivial.
% 11.54/11.68 apply (zenon_L184_); trivial.
% 11.54/11.68 apply (zenon_L728_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.54/11.68 apply (zenon_L729_); trivial.
% 11.54/11.68 apply (zenon_L456_); trivial.
% 11.54/11.68 (* end of lemma zenon_L991_ *)
% 11.54/11.68 assert (zenon_L992_ : (((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 (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_H167 zenon_H226 zenon_H15e zenon_H39 zenon_Hcb zenon_He2 zenon_H18a zenon_H41.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ].
% 11.54/11.68 apply (zenon_L438_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ].
% 11.54/11.68 apply (zenon_L162_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ].
% 11.54/11.68 exact (zenon_He2 zenon_He1).
% 11.54/11.68 apply (zenon_L650_); trivial.
% 11.54/11.68 (* end of lemma zenon_L992_ *)
% 11.54/11.68 assert (zenon_L993_ : (((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 (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_H1df zenon_H25 zenon_H1e2 zenon_H6d zenon_H212 zenon_He7 zenon_H120 zenon_Hec zenon_Hf6.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ].
% 11.54/11.68 apply (zenon_L261_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ].
% 11.54/11.68 apply (zenon_L331_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ].
% 11.54/11.68 apply (zenon_L266_); trivial.
% 11.54/11.68 apply (zenon_L269_); trivial.
% 11.54/11.68 (* end of lemma zenon_L993_ *)
% 11.54/11.68 assert (zenon_L994_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((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 (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_H1f0 zenon_H233 zenon_He3 zenon_H18a zenon_He5 zenon_H96 zenon_Hf0 zenon_H3c zenon_H1df zenon_H25 zenon_H1e2 zenon_H6d zenon_H212 zenon_H120 zenon_Hec zenon_Hf6.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ].
% 11.54/11.68 apply (zenon_L331_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ].
% 11.54/11.68 apply (zenon_L642_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ].
% 11.54/11.68 apply (zenon_L273_); trivial.
% 11.54/11.68 apply (zenon_L993_); trivial.
% 11.54/11.68 (* end of lemma zenon_L994_ *)
% 11.54/11.68 assert (zenon_L995_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((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) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (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 (e3) (e3)) = (e3))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_H251 zenon_H41 zenon_He2 zenon_Hcb zenon_H226 zenon_H167 zenon_H222 zenon_H39 zenon_Hf6 zenon_H120 zenon_H212 zenon_H6d zenon_H1e2 zenon_H25 zenon_H1df zenon_H3c zenon_Hf0 zenon_H96 zenon_He5 zenon_H18a zenon_He3 zenon_H1f0 zenon_H233.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.54/11.68 apply (zenon_L992_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.54/11.68 apply (zenon_L714_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.54/11.68 apply (zenon_L994_); trivial.
% 11.54/11.68 exact (zenon_H233 zenon_Hed).
% 11.54/11.68 (* end of lemma zenon_L995_ *)
% 11.54/11.68 assert (zenon_L996_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (((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 (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((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 (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H228 zenon_He0 zenon_H233 zenon_H1f0 zenon_He3 zenon_H18a zenon_He5 zenon_Hf0 zenon_H3c zenon_H1df zenon_H25 zenon_H1e2 zenon_H6d zenon_H212 zenon_H120 zenon_Hf6 zenon_H39 zenon_H222 zenon_H167 zenon_H226 zenon_Hcb zenon_He2 zenon_H41 zenon_H251 zenon_H9e.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.54/11.68 exact (zenon_H26b zenon_H72).
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.54/11.68 apply (zenon_L364_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.54/11.68 apply (zenon_L995_); trivial.
% 11.54/11.68 exact (zenon_H9e zenon_H9d).
% 11.54/11.68 (* end of lemma zenon_L996_ *)
% 11.54/11.68 assert (zenon_L997_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> False).
% 11.54/11.68 do 0 intro. intros zenon_H15d zenon_H9a zenon_Hb4.
% 11.54/11.68 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (e0)) = (op (e3) (e3)))).
% 11.54/11.68 intro zenon_D_pnotp.
% 11.54/11.68 apply zenon_H15d.
% 11.54/11.68 rewrite <- zenon_D_pnotp.
% 11.54/11.68 exact zenon_H9a.
% 11.54/11.68 cut (((e2) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 11.54/11.68 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 11.54/11.68 congruence.
% 11.54/11.68 apply zenon_Hf9. apply refl_equal.
% 11.54/11.68 apply zenon_Hea. apply sym_equal. exact zenon_Hb4.
% 11.54/11.68 (* end of lemma zenon_L997_ *)
% 11.54/11.68 assert (zenon_L998_ : (((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)) = (e0)) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_H1df zenon_H25 zenon_H1e2 zenon_Hf7 zenon_Hb4 zenon_H15d zenon_H147 zenon_H16a.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ].
% 11.54/11.68 apply (zenon_L261_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ].
% 11.54/11.68 apply (zenon_L541_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ].
% 11.54/11.68 apply (zenon_L997_); trivial.
% 11.54/11.68 apply (zenon_L474_); trivial.
% 11.54/11.68 (* end of lemma zenon_L998_ *)
% 11.54/11.68 assert (zenon_L999_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e0)) -> (~((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))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_Hf0 zenon_H9e zenon_H47 zenon_H13a zenon_H16a zenon_H147 zenon_H15d zenon_Hf7 zenon_H1e2 zenon_H25 zenon_H1df zenon_H233.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.54/11.68 exact (zenon_H9e zenon_H9d).
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.54/11.68 apply (zenon_L507_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.54/11.68 apply (zenon_L998_); trivial.
% 11.54/11.68 exact (zenon_H233 zenon_Hed).
% 11.54/11.68 (* end of lemma zenon_L999_ *)
% 11.54/11.68 assert (zenon_L1000_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((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) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_H251 zenon_H226 zenon_H18a zenon_H95 zenon_Hc4 zenon_Hc5 zenon_H96 zenon_H242 zenon_H1df zenon_H25 zenon_H1e2 zenon_H15d zenon_H16a zenon_H13a zenon_H47 zenon_H9e zenon_Hf0 zenon_Hf7 zenon_H34 zenon_H233.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.54/11.68 apply (zenon_L657_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.54/11.68 apply (zenon_L999_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.54/11.68 apply (zenon_L89_); trivial.
% 11.54/11.68 exact (zenon_H233 zenon_Hed).
% 11.54/11.68 (* end of lemma zenon_L1000_ *)
% 11.54/11.68 assert (zenon_L1001_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((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))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H41 zenon_H3c zenon_H236 zenon_H233 zenon_H34 zenon_Hf7 zenon_Hf0 zenon_H47 zenon_H13a zenon_H16a zenon_H15d zenon_H1e2 zenon_H25 zenon_H1df zenon_H242 zenon_Hc5 zenon_Hc4 zenon_H95 zenon_H18a zenon_H226 zenon_H251 zenon_H9e.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.54/11.68 exact (zenon_H26b zenon_H72).
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.54/11.68 apply (zenon_L674_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.54/11.68 apply (zenon_L1000_); trivial.
% 11.54/11.68 exact (zenon_H9e zenon_H9d).
% 11.54/11.68 (* end of lemma zenon_L1001_ *)
% 11.54/11.68 assert (zenon_L1002_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H41 zenon_H34 zenon_H47 zenon_H3c zenon_H236 zenon_H233 zenon_He3 zenon_H18a zenon_He5 zenon_He6 zenon_Hf0 zenon_H9e.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.54/11.68 exact (zenon_H26b zenon_H72).
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.54/11.68 apply (zenon_L674_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.54/11.68 apply (zenon_L642_); trivial.
% 11.54/11.68 exact (zenon_H9e zenon_H9d).
% 11.54/11.68 (* end of lemma zenon_L1002_ *)
% 11.54/11.68 assert (zenon_L1003_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((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))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e0)) -> (((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) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_H105 zenon_H30 zenon_H2c zenon_H1ca zenon_H13a zenon_H16a zenon_H15d zenon_H1e2 zenon_H25 zenon_H1df zenon_H242 zenon_Hc4 zenon_H95 zenon_H226 zenon_H251 zenon_H228 zenon_He0 zenon_H1f0 zenon_H6d zenon_H212 zenon_Hf6 zenon_H39 zenon_H222 zenon_H167 zenon_Hcb zenon_He2 zenon_H122 zenon_Hb9 zenon_H26b zenon_H41 zenon_H34 zenon_H47 zenon_H3c zenon_H236 zenon_H233 zenon_He3 zenon_H18a zenon_He5 zenon_Hf0 zenon_H9e.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.54/11.68 apply (zenon_L211_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.54/11.68 apply (zenon_L459_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ].
% 11.54/11.68 apply (zenon_L261_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ].
% 11.54/11.68 apply (zenon_L996_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ].
% 11.54/11.68 apply (zenon_L1001_); trivial.
% 11.54/11.68 exact (zenon_H9e zenon_H9d).
% 11.54/11.68 apply (zenon_L1002_); trivial.
% 11.54/11.68 (* end of lemma zenon_L1003_ *)
% 11.54/11.68 assert (zenon_L1004_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((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) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((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) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_H251 zenon_H226 zenon_H95 zenon_Hc4 zenon_H242 zenon_H1df zenon_H25 zenon_H1e2 zenon_H15d zenon_H16a zenon_H13a zenon_Hcf zenon_H105 zenon_H30 zenon_H2c zenon_H1ca zenon_H228 zenon_H1f0 zenon_H6d zenon_H212 zenon_Hf6 zenon_H39 zenon_H222 zenon_H167 zenon_Hcb zenon_He2 zenon_H122 zenon_H1b8 zenon_Hfb zenon_Hb9 zenon_H26b zenon_H41 zenon_H34 zenon_H47 zenon_H3c zenon_H236 zenon_H233 zenon_He3 zenon_H18a zenon_He5 zenon_Hf0 zenon_H9e.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.54/11.68 apply (zenon_L130_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.54/11.68 apply (zenon_L459_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.54/11.68 apply (zenon_L221_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.54/11.68 apply (zenon_L1003_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.54/11.68 exact (zenon_Hcf zenon_Hce).
% 11.54/11.68 apply (zenon_L1001_); trivial.
% 11.54/11.68 apply (zenon_L1002_); trivial.
% 11.54/11.68 (* end of lemma zenon_L1004_ *)
% 11.54/11.68 assert (zenon_L1005_ : ((op (e3) (e1)) = (e3)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_H147 zenon_H78 zenon_H1f3.
% 11.54/11.68 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H239 | zenon_intro zenon_He9 ].
% 11.54/11.68 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e1) (e1)) = (op (e3) (e1)))).
% 11.54/11.68 intro zenon_D_pnotp.
% 11.54/11.68 apply zenon_H1f3.
% 11.54/11.68 rewrite <- zenon_D_pnotp.
% 11.54/11.68 exact zenon_H239.
% 11.54/11.68 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9].
% 11.54/11.68 cut (((op (e3) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H272].
% 11.54/11.68 congruence.
% 11.54/11.68 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e1) (e1)))).
% 11.54/11.68 intro zenon_D_pnotp.
% 11.54/11.68 apply zenon_H272.
% 11.54/11.68 rewrite <- zenon_D_pnotp.
% 11.54/11.68 exact zenon_H147.
% 11.54/11.68 cut (((e3) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 11.54/11.68 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9].
% 11.54/11.68 congruence.
% 11.54/11.68 apply zenon_He9. apply refl_equal.
% 11.54/11.68 apply zenon_H81. apply sym_equal. exact zenon_H78.
% 11.54/11.68 apply zenon_He9. apply refl_equal.
% 11.54/11.68 apply zenon_He9. apply refl_equal.
% 11.54/11.68 (* end of lemma zenon_L1005_ *)
% 11.54/11.68 assert (zenon_L1006_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((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) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (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 (e3) (e3)) = (e3))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_H251 zenon_H226 zenon_H95 zenon_Hc4 zenon_Hc5 zenon_H242 zenon_H1f3 zenon_H78 zenon_Hf6 zenon_H120 zenon_H212 zenon_H6d zenon_H1e2 zenon_H25 zenon_H1df zenon_H3c zenon_Hf0 zenon_H96 zenon_He5 zenon_H18a zenon_He3 zenon_H1f0 zenon_H233.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.54/11.68 apply (zenon_L657_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.54/11.68 apply (zenon_L1005_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.54/11.68 apply (zenon_L994_); trivial.
% 11.54/11.68 exact (zenon_H233 zenon_Hed).
% 11.54/11.68 (* end of lemma zenon_L1006_ *)
% 11.54/11.68 assert (zenon_L1007_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (((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 (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((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 (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H228 zenon_He0 zenon_H233 zenon_H1f0 zenon_He3 zenon_H18a zenon_He5 zenon_Hf0 zenon_H3c zenon_H1df zenon_H25 zenon_H1e2 zenon_H6d zenon_H212 zenon_H120 zenon_Hf6 zenon_H78 zenon_H1f3 zenon_H242 zenon_Hc5 zenon_Hc4 zenon_H95 zenon_H226 zenon_H251 zenon_H9e.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.54/11.68 exact (zenon_H26b zenon_H72).
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.54/11.68 apply (zenon_L364_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.54/11.68 apply (zenon_L1006_); trivial.
% 11.54/11.68 exact (zenon_H9e zenon_H9d).
% 11.54/11.68 (* end of lemma zenon_L1007_ *)
% 11.54/11.68 assert (zenon_L1008_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (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 (e1) (e1)) = (e3)) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_H251 zenon_H226 zenon_H18a zenon_H95 zenon_Hc4 zenon_Hc5 zenon_H96 zenon_H242 zenon_H1f3 zenon_H78 zenon_Hf7 zenon_H34 zenon_H233.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.54/11.68 apply (zenon_L657_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.54/11.68 apply (zenon_L1005_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.54/11.68 apply (zenon_L89_); trivial.
% 11.54/11.68 exact (zenon_H233 zenon_Hed).
% 11.54/11.68 (* end of lemma zenon_L1008_ *)
% 11.54/11.68 assert (zenon_L1009_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((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) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_H122 zenon_Hf6 zenon_H212 zenon_H6d zenon_H1e2 zenon_H25 zenon_H1df zenon_H3c zenon_Hf0 zenon_He5 zenon_He3 zenon_H1f0 zenon_H251 zenon_H226 zenon_H18a zenon_H95 zenon_Hc4 zenon_Hc5 zenon_H242 zenon_H1f3 zenon_H78 zenon_H34 zenon_H233 zenon_He0 zenon_H228 zenon_H26b zenon_Hb9 zenon_H9e.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ].
% 11.54/11.68 apply (zenon_L261_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ].
% 11.54/11.68 apply (zenon_L1007_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ].
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.54/11.68 exact (zenon_H26b zenon_H72).
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.54/11.68 apply (zenon_L364_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.54/11.68 apply (zenon_L1008_); trivial.
% 11.54/11.68 exact (zenon_H9e zenon_H9d).
% 11.54/11.68 exact (zenon_H9e zenon_H9d).
% 11.54/11.68 (* end of lemma zenon_L1009_ *)
% 11.54/11.68 assert (zenon_L1010_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> (((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 (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((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 (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H34 zenon_H8b zenon_H233 zenon_H1f0 zenon_He3 zenon_H18a zenon_He5 zenon_Hf0 zenon_H3c zenon_H1df zenon_H25 zenon_H1e2 zenon_H6d zenon_H212 zenon_H120 zenon_Hf6 zenon_H39 zenon_H222 zenon_H167 zenon_H226 zenon_Hcb zenon_He2 zenon_H41 zenon_H251 zenon_H9e.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.54/11.68 exact (zenon_H26b zenon_H72).
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.54/11.68 apply (zenon_L36_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.54/11.68 apply (zenon_L995_); trivial.
% 11.54/11.68 exact (zenon_H9e zenon_H9d).
% 11.54/11.68 (* end of lemma zenon_L1010_ *)
% 11.54/11.68 assert (zenon_L1011_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H34 zenon_H8b zenon_H233 zenon_He3 zenon_H18a zenon_He5 zenon_He6 zenon_Hf0 zenon_H9e.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.54/11.68 exact (zenon_H26b zenon_H72).
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.54/11.68 apply (zenon_L36_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.54/11.68 apply (zenon_L642_); trivial.
% 11.54/11.68 exact (zenon_H9e zenon_H9d).
% 11.54/11.68 (* end of lemma zenon_L1011_ *)
% 11.54/11.68 assert (zenon_L1012_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (((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 (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_H1f0 zenon_H30 zenon_H9a zenon_H9e zenon_Hf0 zenon_He5 zenon_H18a zenon_He3 zenon_H233 zenon_H8b zenon_H34 zenon_H26b zenon_Hb9 zenon_H3c zenon_H1df zenon_H25 zenon_H1e2 zenon_H6d zenon_H212 zenon_H120 zenon_Hec zenon_Hf6.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ].
% 11.54/11.68 apply (zenon_L41_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ].
% 11.54/11.68 apply (zenon_L1011_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ].
% 11.54/11.68 apply (zenon_L273_); trivial.
% 11.54/11.68 apply (zenon_L993_); trivial.
% 11.54/11.68 (* end of lemma zenon_L1012_ *)
% 11.54/11.68 assert (zenon_L1013_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (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 (e1) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((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) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_H251 zenon_H226 zenon_H95 zenon_Hc4 zenon_Hc5 zenon_H96 zenon_H242 zenon_H1f3 zenon_H78 zenon_Hf6 zenon_H120 zenon_H212 zenon_H6d zenon_H1e2 zenon_H25 zenon_H1df zenon_H3c zenon_Hb9 zenon_H26b zenon_H34 zenon_H8b zenon_He3 zenon_H18a zenon_He5 zenon_Hf0 zenon_H9e zenon_H9a zenon_H30 zenon_H1f0 zenon_H233.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.54/11.68 apply (zenon_L657_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.54/11.68 apply (zenon_L1005_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.54/11.68 apply (zenon_L1012_); trivial.
% 11.54/11.68 exact (zenon_H233 zenon_Hed).
% 11.54/11.68 (* end of lemma zenon_L1013_ *)
% 11.54/11.68 assert (zenon_L1014_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((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))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e2)) -> ((op (e1) (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)) = (e0)) -> False).
% 11.54/11.68 do 0 intro. intros zenon_H148 zenon_He2 zenon_Hcb zenon_H167 zenon_H222 zenon_H226 zenon_H95 zenon_Hc4 zenon_Hc5 zenon_H242 zenon_H1f3 zenon_Hf6 zenon_H212 zenon_H6d zenon_H1e2 zenon_H25 zenon_H1df zenon_He0 zenon_H228 zenon_H9e zenon_H1f0 zenon_H30 zenon_He3 zenon_H18a zenon_He5 zenon_Hf0 zenon_H233 zenon_H3c zenon_H1cb zenon_H41 zenon_H251 zenon_H9a zenon_H8b zenon_H26b zenon_Hb9 zenon_H34 zenon_H120.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.54/11.68 apply (zenon_L1010_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.54/11.68 exact (zenon_H26b zenon_H72).
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.54/11.68 apply (zenon_L364_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.54/11.68 apply (zenon_L1013_); trivial.
% 11.54/11.68 exact (zenon_H9e zenon_H9d).
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.54/11.68 exact (zenon_H26b zenon_H72).
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.54/11.68 apply (zenon_L36_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.54/11.68 apply (zenon_L645_); trivial.
% 11.54/11.68 exact (zenon_H9e zenon_H9d).
% 11.54/11.68 apply (zenon_L670_); trivial.
% 11.54/11.68 (* end of lemma zenon_L1014_ *)
% 11.54/11.68 assert (zenon_L1015_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((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))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H8b zenon_H233 zenon_H34 zenon_Hf7 zenon_Hf0 zenon_H47 zenon_H13a zenon_H16a zenon_H15d zenon_H1e2 zenon_H25 zenon_H1df zenon_H242 zenon_Hc5 zenon_Hc4 zenon_H95 zenon_H18a zenon_H226 zenon_H251 zenon_H9e.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.54/11.68 exact (zenon_H26b zenon_H72).
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.54/11.68 apply (zenon_L36_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.54/11.68 apply (zenon_L1000_); trivial.
% 11.54/11.68 exact (zenon_H9e zenon_H9d).
% 11.54/11.68 (* end of lemma zenon_L1015_ *)
% 11.54/11.68 assert (zenon_L1016_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((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) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_H122 zenon_H9a zenon_H41 zenon_H1cb zenon_H3c zenon_He5 zenon_He3 zenon_H30 zenon_H1f0 zenon_H228 zenon_He0 zenon_H6d zenon_H212 zenon_Hf6 zenon_H1f3 zenon_H222 zenon_H167 zenon_Hcb zenon_He2 zenon_H148 zenon_H251 zenon_H226 zenon_H18a zenon_H95 zenon_Hc4 zenon_Hc5 zenon_H242 zenon_H1df zenon_H25 zenon_H1e2 zenon_H15d zenon_H16a zenon_H13a zenon_H47 zenon_Hf0 zenon_H34 zenon_H233 zenon_H8b zenon_H26b zenon_Hb9 zenon_H9e.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ].
% 11.54/11.68 apply (zenon_L712_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ].
% 11.54/11.68 apply (zenon_L1014_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ].
% 11.54/11.68 apply (zenon_L1015_); trivial.
% 11.54/11.68 exact (zenon_H9e zenon_H9d).
% 11.54/11.68 (* end of lemma zenon_L1016_ *)
% 11.54/11.68 assert (zenon_L1017_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e1) (e3)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((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) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_Hfb zenon_H1b8 zenon_Hb9 zenon_H26b zenon_H8b zenon_H148 zenon_He2 zenon_Hcb zenon_H167 zenon_H222 zenon_H1f3 zenon_Hf6 zenon_H212 zenon_H6d zenon_H228 zenon_H1f0 zenon_H30 zenon_He3 zenon_He5 zenon_H3c zenon_H1cb zenon_H41 zenon_H9a zenon_H122 zenon_Hcf zenon_H251 zenon_H226 zenon_H18a zenon_H95 zenon_Hc4 zenon_Hc5 zenon_H96 zenon_H242 zenon_H1df zenon_H25 zenon_H1e2 zenon_H15d zenon_H16a zenon_H13a zenon_H47 zenon_H9e zenon_Hf0 zenon_H34 zenon_H233.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.54/11.68 apply (zenon_L221_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.54/11.68 apply (zenon_L1016_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.54/11.68 exact (zenon_Hcf zenon_Hce).
% 11.54/11.68 apply (zenon_L1000_); trivial.
% 11.54/11.68 (* end of lemma zenon_L1017_ *)
% 11.54/11.68 assert (zenon_L1018_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.54/11.68 do 0 intro. intros zenon_H251 zenon_H226 zenon_H18a zenon_H95 zenon_Hc4 zenon_Hc5 zenon_H96 zenon_H242 zenon_H1cb zenon_H145 zenon_Hae zenon_H41 zenon_H233.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.54/11.68 apply (zenon_L657_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.54/11.68 apply (zenon_L643_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.54/11.68 apply (zenon_L271_); trivial.
% 11.54/11.68 exact (zenon_H233 zenon_Hed).
% 11.54/11.68 (* end of lemma zenon_L1018_ *)
% 11.54/11.68 assert (zenon_L1019_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((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))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False).
% 11.54/11.68 do 0 intro. intros zenon_Hb0 zenon_H34 zenon_Hf0 zenon_H9e zenon_H47 zenon_H13a zenon_H16a zenon_H15d zenon_H1e2 zenon_H25 zenon_H1df zenon_Hcf zenon_H122 zenon_H3c zenon_He5 zenon_H30 zenon_H1f0 zenon_H228 zenon_H6d zenon_H212 zenon_Hf6 zenon_H1f3 zenon_H167 zenon_Hcb zenon_He2 zenon_H148 zenon_H8b zenon_H26b zenon_Hb9 zenon_H1b8 zenon_Hfb zenon_H2c zenon_H222 zenon_H233 zenon_H41 zenon_H145 zenon_H1cb zenon_H242 zenon_H96 zenon_Hc5 zenon_Hc4 zenon_H95 zenon_H226 zenon_H251 zenon_He3 zenon_H18a.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.54/11.68 apply (zenon_L1017_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.54/11.68 apply (zenon_L355_); trivial.
% 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.54/11.68 apply (zenon_L1018_); trivial.
% 11.54/11.68 apply (zenon_L188_); trivial.
% 11.54/11.68 (* end of lemma zenon_L1019_ *)
% 11.54/11.68 assert (zenon_L1020_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e1) (e3)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (((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) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.54/11.69 do 0 intro. intros zenon_H236 zenon_H18a zenon_He3 zenon_H251 zenon_H226 zenon_H95 zenon_Hc4 zenon_Hc5 zenon_H242 zenon_H1cb zenon_H145 zenon_H41 zenon_H233 zenon_H222 zenon_H2c zenon_Hfb zenon_H1b8 zenon_Hb9 zenon_H26b zenon_H8b zenon_H148 zenon_He2 zenon_Hcb zenon_H167 zenon_H1f3 zenon_Hf6 zenon_H212 zenon_H6d zenon_H228 zenon_H1f0 zenon_H30 zenon_He5 zenon_H3c zenon_H122 zenon_Hcf zenon_H1df zenon_H25 zenon_H1e2 zenon_H15d zenon_H16a zenon_H13a zenon_H47 zenon_Hf0 zenon_H34 zenon_Hb0 zenon_H9e.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.54/11.69 exact (zenon_H26b zenon_H72).
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.54/11.69 apply (zenon_L674_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.54/11.69 apply (zenon_L1019_); trivial.
% 11.54/11.69 exact (zenon_H9e zenon_H9d).
% 11.54/11.69 (* end of lemma zenon_L1020_ *)
% 11.54/11.69 assert (zenon_L1021_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((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) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.54/11.69 do 0 intro. intros zenon_H122 zenon_He3 zenon_H18a zenon_H34 zenon_H233 zenon_H1df zenon_H25 zenon_H1e2 zenon_H15d zenon_H147 zenon_H16a zenon_H13a zenon_H47 zenon_Hf0 zenon_H9e.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ].
% 11.54/11.69 apply (zenon_L712_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ].
% 11.54/11.69 apply (zenon_L670_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ].
% 11.54/11.69 apply (zenon_L999_); trivial.
% 11.54/11.69 exact (zenon_H9e zenon_H9d).
% 11.54/11.69 (* end of lemma zenon_L1021_ *)
% 11.54/11.69 assert (zenon_L1022_ : (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e1) (e2)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((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) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.54/11.69 do 0 intro. intros zenon_H1ca zenon_H105 zenon_He0 zenon_Hb0 zenon_Hcf zenon_H3c zenon_He5 zenon_H30 zenon_H1f0 zenon_H228 zenon_H6d zenon_H212 zenon_Hf6 zenon_H1f3 zenon_H167 zenon_Hcb zenon_He2 zenon_H148 zenon_H8b zenon_H26b zenon_Hb9 zenon_H1b8 zenon_Hfb zenon_H2c zenon_H222 zenon_H41 zenon_H1cb zenon_H242 zenon_Hc5 zenon_Hc4 zenon_H95 zenon_H226 zenon_H251 zenon_H236 zenon_H122 zenon_He3 zenon_H18a zenon_H34 zenon_H233 zenon_H1df zenon_H25 zenon_H1e2 zenon_H15d zenon_H16a zenon_H13a zenon_H47 zenon_Hf0 zenon_H9e.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.54/11.69 apply (zenon_L1004_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.54/11.69 apply (zenon_L1009_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.54/11.69 apply (zenon_L1020_); trivial.
% 11.54/11.69 apply (zenon_L1021_); trivial.
% 11.54/11.69 (* end of lemma zenon_L1022_ *)
% 11.54/11.69 assert (zenon_L1023_ : (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((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))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.54/11.69 do 0 intro. intros zenon_H71 zenon_H13a zenon_H16a zenon_H15d zenon_H1e2 zenon_H25 zenon_H1df zenon_H122 zenon_H251 zenon_H226 zenon_H95 zenon_Hc4 zenon_H242 zenon_H1cb zenon_H222 zenon_H2c zenon_Hfb zenon_H1b8 zenon_H148 zenon_He2 zenon_Hcb zenon_H167 zenon_H1f3 zenon_Hf6 zenon_H212 zenon_H6d zenon_H228 zenon_H1f0 zenon_H30 zenon_Hcf zenon_Hb0 zenon_He0 zenon_H105 zenon_H1ca zenon_H13f zenon_H3b zenon_H8d zenon_Hb9 zenon_H26b zenon_H41 zenon_H34 zenon_H47 zenon_H3c zenon_H236 zenon_H233 zenon_He3 zenon_H18a zenon_He5 zenon_Hf0 zenon_H9e.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.54/11.69 apply (zenon_L199_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.54/11.69 apply (zenon_L459_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.54/11.69 apply (zenon_L123_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.54/11.69 apply (zenon_L1009_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.54/11.69 apply (zenon_L119_); trivial.
% 11.54/11.69 apply (zenon_L1022_); trivial.
% 11.54/11.69 apply (zenon_L1002_); trivial.
% 11.54/11.69 (* end of lemma zenon_L1023_ *)
% 11.54/11.69 assert (zenon_L1024_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((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) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.54/11.69 do 0 intro. intros zenon_H251 zenon_H226 zenon_H95 zenon_Hc4 zenon_H242 zenon_H1df zenon_H25 zenon_H1e2 zenon_H15d zenon_H16a zenon_H13a zenon_Hcf zenon_H71 zenon_H122 zenon_H1cb zenon_H222 zenon_H2c zenon_Hfb zenon_H1b8 zenon_H148 zenon_He2 zenon_Hcb zenon_H167 zenon_H1f3 zenon_Hf6 zenon_H212 zenon_H6d zenon_H228 zenon_H1f0 zenon_H30 zenon_Hb0 zenon_H105 zenon_H1ca zenon_H13f zenon_H3b zenon_H8d zenon_Hb9 zenon_H26b zenon_H41 zenon_H34 zenon_H47 zenon_H3c zenon_H236 zenon_H233 zenon_He3 zenon_H18a zenon_He5 zenon_Hf0 zenon_H9e.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.54/11.69 apply (zenon_L211_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.54/11.69 apply (zenon_L459_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.54/11.69 apply (zenon_L221_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.54/11.69 apply (zenon_L1023_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.54/11.69 exact (zenon_Hcf zenon_Hce).
% 11.54/11.69 apply (zenon_L1001_); trivial.
% 11.54/11.69 apply (zenon_L1002_); trivial.
% 11.54/11.69 (* end of lemma zenon_L1024_ *)
% 11.54/11.69 assert (zenon_L1025_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((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))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.54/11.69 do 0 intro. intros zenon_H44 zenon_H9e zenon_Hf0 zenon_He5 zenon_H18a zenon_He3 zenon_H233 zenon_H236 zenon_H34 zenon_H41 zenon_H26b zenon_Hb9 zenon_H8d zenon_H13f zenon_H1ca zenon_H105 zenon_Hb0 zenon_H30 zenon_H1f0 zenon_H228 zenon_H6d zenon_H212 zenon_Hf6 zenon_H1f3 zenon_H167 zenon_Hcb zenon_He2 zenon_H148 zenon_H1b8 zenon_Hfb zenon_H2c zenon_H222 zenon_H1cb zenon_H122 zenon_H71 zenon_Hcf zenon_H13a zenon_H16a zenon_H15d zenon_H1e2 zenon_H25 zenon_H1df zenon_H242 zenon_Hc4 zenon_H95 zenon_H226 zenon_H251 zenon_H47 zenon_H3c.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.54/11.69 apply (zenon_L7_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.54/11.69 apply (zenon_L1004_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.54/11.69 apply (zenon_L1024_); trivial.
% 11.54/11.69 apply (zenon_L14_); trivial.
% 11.54/11.69 (* end of lemma zenon_L1025_ *)
% 11.54/11.69 assert (zenon_L1026_ : (((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 (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.54/11.69 do 0 intro. intros zenon_H44 zenon_H34 zenon_H25 zenon_H222 zenon_H147 zenon_H41 zenon_H2f zenon_H47 zenon_H3c.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.54/11.69 apply (zenon_L7_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.54/11.69 apply (zenon_L714_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.54/11.69 apply (zenon_L13_); trivial.
% 11.54/11.69 apply (zenon_L14_); trivial.
% 11.54/11.69 (* end of lemma zenon_L1026_ *)
% 11.54/11.69 assert (zenon_L1027_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.54/11.69 do 0 intro. intros zenon_H251 zenon_H226 zenon_H18a zenon_H95 zenon_Hc4 zenon_Hc5 zenon_H96 zenon_H242 zenon_H3c zenon_H47 zenon_H2f zenon_H41 zenon_H222 zenon_H25 zenon_H34 zenon_H44 zenon_H125 zenon_H89 zenon_H233.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.54/11.69 apply (zenon_L657_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.54/11.69 apply (zenon_L1026_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.54/11.69 apply (zenon_L101_); trivial.
% 11.54/11.69 exact (zenon_H233 zenon_Hed).
% 11.54/11.69 (* end of lemma zenon_L1027_ *)
% 11.54/11.69 assert (zenon_L1028_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((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 (e3) (e1)))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.54/11.69 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H228 zenon_He0 zenon_H233 zenon_H89 zenon_H125 zenon_H44 zenon_H34 zenon_H25 zenon_H222 zenon_H41 zenon_H2f zenon_H47 zenon_H3c zenon_H242 zenon_Hc5 zenon_Hc4 zenon_H95 zenon_H18a zenon_H226 zenon_H251 zenon_H9e.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.54/11.69 exact (zenon_H26b zenon_H72).
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.54/11.69 apply (zenon_L364_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.54/11.69 apply (zenon_L1027_); trivial.
% 11.54/11.69 exact (zenon_H9e zenon_H9d).
% 11.54/11.69 (* end of lemma zenon_L1028_ *)
% 11.54/11.69 assert (zenon_L1029_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((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) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.54/11.69 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H41 zenon_H34 zenon_H47 zenon_H236 zenon_Hf6 zenon_Hec zenon_H120 zenon_H212 zenon_H6d zenon_H1e2 zenon_H25 zenon_H1df zenon_H3c zenon_Hf0 zenon_He5 zenon_H18a zenon_He3 zenon_H233 zenon_H1f0 zenon_H9e.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.54/11.69 exact (zenon_H26b zenon_H72).
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.54/11.69 apply (zenon_L674_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.54/11.69 apply (zenon_L994_); trivial.
% 11.54/11.69 exact (zenon_H9e zenon_H9d).
% 11.54/11.69 (* end of lemma zenon_L1029_ *)
% 11.54/11.69 assert (zenon_L1030_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((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 (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e2) = (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) (e3)) = (e0))) -> False).
% 11.54/11.69 do 0 intro. intros zenon_Hf3 zenon_H251 zenon_H226 zenon_H95 zenon_Hc4 zenon_Hc5 zenon_H242 zenon_H2f zenon_H222 zenon_H44 zenon_H125 zenon_He0 zenon_H228 zenon_He2 zenon_H122 zenon_H1f0 zenon_H233 zenon_He3 zenon_H18a zenon_He5 zenon_Hf0 zenon_H3c zenon_H1df zenon_H25 zenon_H1e2 zenon_H6d zenon_H212 zenon_Hf6 zenon_H236 zenon_H47 zenon_H41 zenon_H26b zenon_Hb9 zenon_H34 zenon_H9e.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.54/11.69 apply (zenon_L13_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.54/11.69 apply (zenon_L1028_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.54/11.69 exact (zenon_He2 zenon_He1).
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ].
% 11.54/11.69 apply (zenon_L261_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ].
% 11.54/11.69 apply (zenon_L1029_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ].
% 11.54/11.69 apply (zenon_L89_); trivial.
% 11.54/11.69 exact (zenon_H9e zenon_H9d).
% 11.54/11.69 (* end of lemma zenon_L1030_ *)
% 11.54/11.69 assert (zenon_L1031_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e0)) -> False).
% 11.54/11.69 do 0 intro. intros zenon_Hf3 zenon_H233 zenon_H125 zenon_H44 zenon_H25 zenon_H222 zenon_H41 zenon_H2f zenon_H47 zenon_H3c zenon_H242 zenon_H96 zenon_Hc5 zenon_Hc4 zenon_H95 zenon_H18a zenon_H226 zenon_H251 zenon_He2 zenon_H34 zenon_Hf7.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.54/11.69 apply (zenon_L13_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.54/11.69 apply (zenon_L1027_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.54/11.69 exact (zenon_He2 zenon_He1).
% 11.54/11.69 apply (zenon_L89_); trivial.
% 11.54/11.69 (* end of lemma zenon_L1031_ *)
% 11.54/11.69 assert (zenon_L1032_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((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 (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> False).
% 11.54/11.69 do 0 intro. intros zenon_Hfb zenon_H27 zenon_H9e zenon_Hb9 zenon_H26b zenon_H236 zenon_Hf6 zenon_H212 zenon_H6d zenon_H1e2 zenon_H1df zenon_Hf0 zenon_He5 zenon_He3 zenon_H1f0 zenon_H122 zenon_H228 zenon_Hcf zenon_Hf3 zenon_H233 zenon_H125 zenon_H44 zenon_H25 zenon_H222 zenon_H41 zenon_H2f zenon_H47 zenon_H3c zenon_H242 zenon_H96 zenon_Hc5 zenon_Hc4 zenon_H95 zenon_H18a zenon_H226 zenon_H251 zenon_He2 zenon_H34.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ].
% 11.54/11.69 apply (zenon_L57_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ].
% 11.54/11.69 apply (zenon_L1030_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ].
% 11.54/11.69 exact (zenon_Hcf zenon_Hce).
% 11.54/11.69 apply (zenon_L1031_); trivial.
% 11.54/11.69 (* end of lemma zenon_L1032_ *)
% 11.54/11.69 assert (zenon_L1033_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((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 (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 11.54/11.69 do 0 intro. intros zenon_H105 zenon_H71 zenon_H1ca zenon_Hfb zenon_H27 zenon_Hf6 zenon_H212 zenon_H6d zenon_H1e2 zenon_H1df zenon_H1f0 zenon_H122 zenon_H228 zenon_Hcf zenon_Hf3 zenon_H125 zenon_H44 zenon_H25 zenon_H222 zenon_H2f zenon_H242 zenon_Hc4 zenon_H95 zenon_H226 zenon_H251 zenon_He2 zenon_Hb9 zenon_H26b zenon_H41 zenon_H34 zenon_H47 zenon_H3c zenon_H236 zenon_H233 zenon_He3 zenon_H18a zenon_He5 zenon_Hf0 zenon_H9e.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.54/11.69 apply (zenon_L199_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.54/11.69 apply (zenon_L459_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.54/11.69 exact (zenon_H26b zenon_H72).
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.54/11.69 apply (zenon_L674_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.54/11.69 apply (zenon_L1032_); trivial.
% 11.54/11.69 exact (zenon_H9e zenon_H9d).
% 11.54/11.69 apply (zenon_L1002_); trivial.
% 11.54/11.69 (* end of lemma zenon_L1033_ *)
% 11.54/11.69 assert (zenon_L1034_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((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 (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((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 (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (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 (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> False).
% 11.54/11.69 do 0 intro. intros zenon_H4c zenon_H20 zenon_H16e zenon_H161 zenon_H11b zenon_Hfa zenon_H1aa zenon_H16c zenon_H154 zenon_H91 zenon_H117 zenon_H61 zenon_H192 zenon_H65 zenon_H19c zenon_H49 zenon_H15d zenon_H16a zenon_H13a zenon_H1cb zenon_H1b8 zenon_H148 zenon_Hcb zenon_H167 zenon_H1f3 zenon_Hb0 zenon_H13f zenon_H8d zenon_H9e zenon_Hf0 zenon_He5 zenon_H18a zenon_He3 zenon_H233 zenon_H236 zenon_H3c zenon_H34 zenon_H41 zenon_H26b zenon_Hb9 zenon_He2 zenon_H251 zenon_H226 zenon_H95 zenon_Hc4 zenon_H242 zenon_H222 zenon_H25 zenon_H44 zenon_H125 zenon_Hf3 zenon_Hcf zenon_H228 zenon_H122 zenon_H1f0 zenon_H1df zenon_H1e2 zenon_H6d zenon_H212 zenon_Hf6 zenon_H27 zenon_Hfb zenon_H1ca zenon_H71 zenon_H105 zenon_H30.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.54/11.69 apply (zenon_L129_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.54/11.69 apply (zenon_L3_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.54/11.69 apply (zenon_L211_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.54/11.69 apply (zenon_L7_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.54/11.69 apply (zenon_L130_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.54/11.69 apply (zenon_L13_); trivial.
% 11.54/11.69 apply (zenon_L984_); trivial.
% 11.54/11.69 apply (zenon_L213_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.54/11.69 apply (zenon_L673_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.54/11.69 apply (zenon_L3_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.54/11.69 apply (zenon_L1025_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.54/11.69 apply (zenon_L1033_); trivial.
% 11.54/11.69 apply (zenon_L15_); trivial.
% 11.54/11.69 (* end of lemma zenon_L1034_ *)
% 11.54/11.69 assert (zenon_L1035_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((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) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (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 (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.54/11.69 do 0 intro. intros zenon_H105 zenon_H30 zenon_H2c zenon_H1ca zenon_Hfa zenon_H25 zenon_H1aa zenon_H226 zenon_H15e zenon_H95 zenon_H16c zenon_H6d zenon_Hc4 zenon_H242 zenon_Hcf zenon_Hf0 zenon_He5 zenon_H18a zenon_He3 zenon_H233.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.54/11.69 apply (zenon_L211_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.54/11.69 apply (zenon_L459_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.54/11.69 apply (zenon_L658_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.54/11.69 apply (zenon_L624_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.54/11.69 apply (zenon_L656_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.54/11.69 exact (zenon_Hcf zenon_Hce).
% 11.54/11.69 apply (zenon_L642_); trivial.
% 11.54/11.69 (* end of lemma zenon_L1035_ *)
% 11.54/11.69 assert (zenon_L1036_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (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 (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 11.54/11.69 do 0 intro. intros zenon_H49 zenon_H27 zenon_H233 zenon_He3 zenon_He5 zenon_Hf0 zenon_Hcf zenon_H242 zenon_Hc4 zenon_H6d zenon_H16c zenon_H95 zenon_H15e zenon_H226 zenon_H1aa zenon_H25 zenon_Hfa zenon_H1ca zenon_H105 zenon_H30 zenon_H2e zenon_H18a zenon_H16e.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.54/11.69 apply (zenon_L3_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.54/11.69 apply (zenon_L1035_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.54/11.69 apply (zenon_L6_); trivial.
% 11.54/11.69 apply (zenon_L213_); trivial.
% 11.54/11.69 (* end of lemma zenon_L1036_ *)
% 11.54/11.69 assert (zenon_L1037_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.54/11.69 do 0 intro. intros zenon_H44 zenon_H1e2 zenon_H18a zenon_He2 zenon_Hcb zenon_H15e zenon_H226 zenon_H167 zenon_H41 zenon_H2f zenon_H47 zenon_H3c.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.54/11.69 apply (zenon_L478_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.54/11.69 apply (zenon_L992_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.54/11.69 apply (zenon_L13_); trivial.
% 11.54/11.69 apply (zenon_L14_); trivial.
% 11.54/11.69 (* end of lemma zenon_L1037_ *)
% 11.54/11.69 assert (zenon_L1038_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (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 (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e2) = (e3))) -> (((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)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 11.54/11.69 do 0 intro. intros zenon_H49 zenon_H27 zenon_H233 zenon_He3 zenon_He5 zenon_Hf0 zenon_Hcf zenon_H242 zenon_Hc4 zenon_H6d zenon_H16c zenon_H95 zenon_H1aa zenon_H25 zenon_Hfa zenon_H1ca zenon_H30 zenon_H105 zenon_H3c zenon_H47 zenon_H41 zenon_H167 zenon_H226 zenon_H15e zenon_Hcb zenon_He2 zenon_H1e2 zenon_H44 zenon_H18a zenon_H16e.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.54/11.69 apply (zenon_L3_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.54/11.69 apply (zenon_L1035_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.54/11.69 apply (zenon_L1037_); trivial.
% 11.54/11.69 apply (zenon_L213_); trivial.
% 11.54/11.69 (* end of lemma zenon_L1038_ *)
% 11.54/11.69 assert (zenon_L1039_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (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))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (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 (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((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)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 11.54/11.69 do 0 intro. intros zenon_H4c zenon_H20 zenon_H34 zenon_H154 zenon_H91 zenon_H117 zenon_H61 zenon_H49 zenon_H27 zenon_H233 zenon_He3 zenon_He5 zenon_Hf0 zenon_Hcf zenon_H242 zenon_Hc4 zenon_H6d zenon_H16c zenon_H95 zenon_H1aa zenon_H25 zenon_Hfa zenon_H1ca zenon_H30 zenon_H105 zenon_H3c zenon_H41 zenon_H167 zenon_H226 zenon_H15e zenon_Hcb zenon_He2 zenon_H1e2 zenon_H44 zenon_H18a zenon_H16e.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.54/11.69 apply (zenon_L129_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.54/11.69 apply (zenon_L3_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.54/11.69 apply (zenon_L1035_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.54/11.69 apply (zenon_L983_); trivial.
% 11.54/11.69 apply (zenon_L213_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.54/11.69 apply (zenon_L1036_); trivial.
% 11.54/11.69 apply (zenon_L1038_); trivial.
% 11.54/11.69 (* end of lemma zenon_L1039_ *)
% 11.54/11.69 assert (zenon_L1040_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (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 (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (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) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((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)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((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)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> False).
% 11.54/11.69 do 0 intro. intros zenon_H1fb zenon_H4c zenon_H71 zenon_H8d zenon_H148 zenon_H1cb zenon_Hb0 zenon_H13f zenon_H1f3 zenon_H1ca zenon_Hfb zenon_H122 zenon_H236 zenon_H13a zenon_H16a zenon_H15d zenon_H26b zenon_H228 zenon_H251 zenon_H212 zenon_Hf0 zenon_H233 zenon_He5 zenon_He3 zenon_H1df zenon_Hf6 zenon_H1f0 zenon_H222 zenon_H167 zenon_Hb9 zenon_H1e2 zenon_H105 zenon_H1b8 zenon_H125 zenon_Hf3 zenon_H65 zenon_H192 zenon_He2 zenon_H19c zenon_H27 zenon_H30 zenon_H6d zenon_Hfa zenon_H117 zenon_H91 zenon_H61 zenon_H154 zenon_H16c zenon_Hcb zenon_H18a zenon_H11b zenon_H1aa zenon_H44 zenon_H242 zenon_H226 zenon_H95 zenon_Hc4 zenon_H161 zenon_H41 zenon_H3c zenon_H34 zenon_H16e zenon_H49 zenon_H25 zenon_H20 zenon_H1fa.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hb5 ].
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ].
% 11.54/11.69 apply (zenon_L1034_); trivial.
% 11.54/11.69 apply (zenon_L1039_); trivial.
% 11.54/11.69 apply (zenon_L334_); trivial.
% 11.54/11.69 (* end of lemma zenon_L1040_ *)
% 11.54/11.69 assert (zenon_L1041_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((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)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((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))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (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) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((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 (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 11.54/11.69 do 0 intro. intros zenon_Hb7 zenon_H1fa zenon_H20 zenon_H25 zenon_H49 zenon_H16e zenon_H34 zenon_H41 zenon_H161 zenon_Hc4 zenon_H95 zenon_H226 zenon_H242 zenon_H44 zenon_H1aa zenon_H11b zenon_Hcb zenon_H16c zenon_H154 zenon_H61 zenon_H91 zenon_H117 zenon_Hfa zenon_H30 zenon_H27 zenon_H65 zenon_Hf3 zenon_H125 zenon_H1b8 zenon_H105 zenon_H1e2 zenon_Hb9 zenon_H167 zenon_H222 zenon_H1f0 zenon_Hf6 zenon_H1df zenon_He3 zenon_He5 zenon_H233 zenon_Hf0 zenon_H212 zenon_H251 zenon_H228 zenon_H26b zenon_H15d zenon_H16a zenon_H13a zenon_H236 zenon_H122 zenon_Hfb zenon_H1ca zenon_H1f3 zenon_H13f zenon_Hb0 zenon_H1cb zenon_H148 zenon_H8d zenon_H71 zenon_H4c zenon_H1fb zenon_He2 zenon_H192 zenon_H18a zenon_Hc0 zenon_Hcf zenon_H19c zenon_H3c zenon_H15e.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.54/11.69 apply (zenon_L129_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.54/11.69 apply (zenon_L1040_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.54/11.69 apply (zenon_L641_); trivial.
% 11.54/11.69 apply (zenon_L196_); trivial.
% 11.54/11.69 (* end of lemma zenon_L1041_ *)
% 11.54/11.69 assert (zenon_L1042_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 11.54/11.69 do 0 intro. intros zenon_Hf3 zenon_H2e zenon_H75 zenon_H10e zenon_He2 zenon_H122 zenon_Hf0 zenon_H15d zenon_H18a zenon_He3 zenon_H233 zenon_H34 zenon_H1cb zenon_H145 zenon_He5 zenon_H222 zenon_H1e zenon_H223 zenon_H41 zenon_H1f0 zenon_H30 zenon_Hb0 zenon_H56 zenon_H1f3 zenon_H3c zenon_H1e5.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ].
% 11.54/11.69 apply (zenon_L9_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ].
% 11.54/11.69 apply (zenon_L229_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ].
% 11.54/11.69 exact (zenon_He2 zenon_He1).
% 11.54/11.69 apply (zenon_L701_); trivial.
% 11.54/11.69 (* end of lemma zenon_L1042_ *)
% 11.54/11.69 assert (zenon_L1043_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((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)))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (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) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 11.54/11.69 do 0 intro. intros zenon_H148 zenon_H1e5 zenon_H3c zenon_H1f3 zenon_Hb0 zenon_H30 zenon_H1f0 zenon_H41 zenon_H223 zenon_H222 zenon_He5 zenon_H34 zenon_H233 zenon_He3 zenon_H15d zenon_Hf0 zenon_H122 zenon_He2 zenon_H10e zenon_H75 zenon_H2e zenon_Hf3 zenon_H263 zenon_H1e zenon_Hcb zenon_H56 zenon_H157 zenon_H18b zenon_H18a zenon_H1cb.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.54/11.69 apply (zenon_L8_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.54/11.69 apply (zenon_L510_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.54/11.69 apply (zenon_L1042_); trivial.
% 11.54/11.69 apply (zenon_L708_); trivial.
% 11.54/11.69 (* end of lemma zenon_L1043_ *)
% 11.54/11.69 assert (zenon_L1044_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (((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 (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 11.54/11.69 do 0 intro. intros zenon_H122 zenon_Hf0 zenon_H15d zenon_H18a zenon_He3 zenon_H233 zenon_H34 zenon_Hb0 zenon_H1e5 zenon_H3c zenon_H30 zenon_H1f0 zenon_H99 zenon_Hec zenon_H41 zenon_H223 zenon_H1e zenon_H222 zenon_H56 zenon_H1f3 zenon_He5 zenon_H145 zenon_H1cb.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ].
% 11.54/11.69 apply (zenon_L681_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ].
% 11.54/11.69 apply (zenon_L472_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ].
% 11.54/11.69 apply (zenon_L89_); trivial.
% 11.54/11.69 apply (zenon_L700_); trivial.
% 11.54/11.69 (* end of lemma zenon_L1044_ *)
% 11.54/11.69 assert (zenon_L1045_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((e2) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 11.54/11.69 do 0 intro. intros zenon_H148 zenon_H233 zenon_H122 zenon_Hf0 zenon_H15d zenon_He3 zenon_H34 zenon_Hb0 zenon_H1e5 zenon_H3c zenon_H30 zenon_H1f0 zenon_H99 zenon_H41 zenon_H223 zenon_H222 zenon_H1f3 zenon_He5 zenon_H2e zenon_H101 zenon_H251 zenon_H263 zenon_H1e zenon_Hcb zenon_H56 zenon_H157 zenon_H18b zenon_H18a zenon_H1cb.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.54/11.69 apply (zenon_L8_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.54/11.69 apply (zenon_L510_); trivial.
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.54/11.69 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.54/11.70 apply (zenon_L477_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.54/11.70 apply (zenon_L643_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.54/11.70 apply (zenon_L1044_); trivial.
% 11.54/11.70 exact (zenon_H233 zenon_Hed).
% 11.54/11.70 apply (zenon_L708_); trivial.
% 11.54/11.70 (* end of lemma zenon_L1045_ *)
% 11.54/11.70 assert (zenon_L1046_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((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 (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 11.54/11.70 do 0 intro. intros zenon_Hfa zenon_H192 zenon_Hc0 zenon_Hcb zenon_H122 zenon_H15d zenon_H18a zenon_H34 zenon_H41 zenon_H1f0 zenon_H30 zenon_Hb0 zenon_H3c zenon_H251 zenon_H233 zenon_H1e5 zenon_He3 zenon_Hf0 zenon_He2 zenon_Had zenon_H11c zenon_H6f zenon_H19c zenon_H223 zenon_H1e zenon_H222 zenon_H56 zenon_H1f3 zenon_He5 zenon_H145 zenon_H1cb.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.54/11.70 apply (zenon_L697_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.54/11.70 apply (zenon_L55_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.54/11.70 apply (zenon_L174_); trivial.
% 11.54/11.70 apply (zenon_L704_); trivial.
% 11.54/11.70 (* end of lemma zenon_L1046_ *)
% 11.54/11.70 assert (zenon_L1047_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((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)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 11.54/11.70 do 0 intro. intros zenon_H148 zenon_He5 zenon_H1f3 zenon_H222 zenon_H223 zenon_H19c zenon_H6f zenon_H11c zenon_Had zenon_He2 zenon_Hf0 zenon_He3 zenon_H1e5 zenon_H233 zenon_H251 zenon_H3c zenon_Hb0 zenon_H30 zenon_H1f0 zenon_H41 zenon_H34 zenon_H15d zenon_H122 zenon_Hc0 zenon_H192 zenon_Hfa zenon_H263 zenon_H1e zenon_Hcb zenon_H56 zenon_H157 zenon_H18b zenon_H18a zenon_H1cb.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.54/11.70 apply (zenon_L8_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.54/11.70 apply (zenon_L510_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.54/11.70 apply (zenon_L1046_); trivial.
% 11.54/11.70 apply (zenon_L708_); trivial.
% 11.54/11.70 (* end of lemma zenon_L1047_ *)
% 11.54/11.70 assert (zenon_L1048_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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 (e1) (e0)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 11.54/11.70 do 0 intro. intros zenon_Hb7 zenon_H226 zenon_H10e zenon_Hf3 zenon_H161 zenon_H1ca zenon_Hfa zenon_H192 zenon_Hc0 zenon_He2 zenon_Had zenon_H11c zenon_H19c zenon_H148 zenon_H233 zenon_H122 zenon_Hf0 zenon_H15d zenon_He3 zenon_H34 zenon_Hb0 zenon_H1e5 zenon_H3c zenon_H30 zenon_H1f0 zenon_H41 zenon_H223 zenon_H222 zenon_H1f3 zenon_He5 zenon_H2e zenon_H101 zenon_H251 zenon_H263 zenon_H1e zenon_Hcb zenon_H56 zenon_H157 zenon_H18b zenon_H18a zenon_H1cb.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.54/11.70 apply (zenon_L58_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.54/11.70 apply (zenon_L1043_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ].
% 11.54/11.70 apply (zenon_L1045_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ].
% 11.54/11.70 apply (zenon_L278_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ].
% 11.54/11.70 apply (zenon_L713_); trivial.
% 11.54/11.70 exact (zenon_H1e5 zenon_He7).
% 11.54/11.70 apply (zenon_L477_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.54/11.70 apply (zenon_L459_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.54/11.70 apply (zenon_L1047_); trivial.
% 11.54/11.70 apply (zenon_L1045_); trivial.
% 11.54/11.70 (* end of lemma zenon_L1048_ *)
% 11.54/11.70 assert (zenon_L1049_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e1)) = (e3)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False).
% 11.54/11.70 do 0 intro. intros zenon_H11b zenon_Hce zenon_H145 zenon_H56 zenon_H157 zenon_H11c zenon_H16e zenon_H47.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.54/11.70 apply (zenon_L174_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.54/11.70 apply (zenon_L239_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.54/11.70 exact (zenon_H11c zenon_H11f).
% 11.54/11.70 apply (zenon_L150_); trivial.
% 11.54/11.70 (* end of lemma zenon_L1049_ *)
% 11.54/11.70 assert (zenon_L1050_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (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)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> False).
% 11.54/11.70 do 0 intro. intros zenon_Hfa zenon_H192 zenon_Hc0 zenon_Hcb zenon_H47 zenon_H16e zenon_H11b zenon_H1cb zenon_H145 zenon_He5 zenon_H1f3 zenon_H222 zenon_H1e zenon_H223 zenon_H19c zenon_Had zenon_He2 zenon_Hf0 zenon_He3 zenon_H1e5 zenon_H233 zenon_H251 zenon_H3c zenon_Hb0 zenon_H30 zenon_H1f0 zenon_H41 zenon_H34 zenon_H18a zenon_H15d zenon_H122 zenon_H56 zenon_H157 zenon_H11c zenon_H20.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.54/11.70 apply (zenon_L697_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.54/11.70 apply (zenon_L55_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.54/11.70 apply (zenon_L1049_); trivial.
% 11.54/11.70 apply (zenon_L705_); trivial.
% 11.54/11.70 (* end of lemma zenon_L1050_ *)
% 11.54/11.70 assert (zenon_L1051_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 11.54/11.70 do 0 intro. intros zenon_H148 zenon_H20 zenon_H11c zenon_H122 zenon_H15d zenon_H34 zenon_H41 zenon_H1f0 zenon_H30 zenon_Hb0 zenon_H3c zenon_H251 zenon_H233 zenon_H1e5 zenon_He3 zenon_Hf0 zenon_He2 zenon_Had zenon_H19c zenon_H223 zenon_H222 zenon_H1f3 zenon_He5 zenon_H11b zenon_H16e zenon_H47 zenon_Hc0 zenon_H192 zenon_Hfa zenon_H263 zenon_H1e zenon_Hcb zenon_H56 zenon_H157 zenon_H18b zenon_H18a zenon_H1cb.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.54/11.70 apply (zenon_L8_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.54/11.70 apply (zenon_L510_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.54/11.70 apply (zenon_L1050_); trivial.
% 11.54/11.70 apply (zenon_L708_); trivial.
% 11.54/11.70 (* end of lemma zenon_L1051_ *)
% 11.54/11.70 assert (zenon_L1052_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.54/11.70 do 0 intro. intros zenon_Hfa zenon_H20 zenon_H1e zenon_Hcb zenon_H145 zenon_H6f zenon_Hf0 zenon_He3 zenon_H1e5 zenon_Ha4 zenon_He5 zenon_H233.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ].
% 11.54/11.70 apply (zenon_L29_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ].
% 11.54/11.70 apply (zenon_L55_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ].
% 11.54/11.70 apply (zenon_L174_); trivial.
% 11.54/11.70 apply (zenon_L703_); trivial.
% 11.54/11.70 (* end of lemma zenon_L1052_ *)
% 11.54/11.70 assert (zenon_L1053_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 11.54/11.70 do 0 intro. intros zenon_H255 zenon_H26b zenon_H20 zenon_H11c zenon_H157 zenon_H56 zenon_H122 zenon_H15d zenon_H34 zenon_H41 zenon_H1f0 zenon_H30 zenon_Hb0 zenon_H3c zenon_H251 zenon_H233 zenon_H1e5 zenon_He3 zenon_Hf0 zenon_He2 zenon_Had zenon_H19c zenon_H223 zenon_H1e zenon_H222 zenon_H1f3 zenon_He5 zenon_H145 zenon_H1cb zenon_H11b zenon_Hcb zenon_Hc0 zenon_H192 zenon_Hfa zenon_H16e zenon_H18a zenon_H61 zenon_H8b.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H72 | zenon_intro zenon_H256 ].
% 11.54/11.70 exact (zenon_H26b zenon_H72).
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H47 | zenon_intro zenon_H257 ].
% 11.54/11.70 apply (zenon_L1050_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ].
% 11.54/11.70 apply (zenon_L213_); trivial.
% 11.54/11.70 apply (zenon_L634_); trivial.
% 11.54/11.70 (* end of lemma zenon_L1053_ *)
% 11.54/11.70 assert (zenon_L1054_ : (((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) (e2)) = (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) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (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)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e2)) -> False).
% 11.54/11.70 do 0 intro. intros zenon_H8d zenon_H212 zenon_H15e zenon_H3b zenon_H13f zenon_H148 zenon_H61 zenon_H18a zenon_H16e zenon_Hfa zenon_H192 zenon_Hc0 zenon_Hcb zenon_H11b zenon_H1cb zenon_He5 zenon_H1f3 zenon_H222 zenon_H1e zenon_H223 zenon_H19c zenon_Had zenon_He2 zenon_Hf0 zenon_He3 zenon_H1e5 zenon_H233 zenon_H251 zenon_H3c zenon_Hb0 zenon_H30 zenon_H1f0 zenon_H34 zenon_H15d zenon_H122 zenon_H56 zenon_H157 zenon_H11c zenon_H20 zenon_H26b zenon_H255 zenon_H41 zenon_Ha4.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.54/11.70 apply (zenon_L299_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.54/11.70 apply (zenon_L510_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.54/11.70 apply (zenon_L119_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.54/11.70 apply (zenon_L8_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.54/11.70 apply (zenon_L510_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.54/11.70 apply (zenon_L1053_); trivial.
% 11.54/11.70 apply (zenon_L609_); trivial.
% 11.54/11.70 (* end of lemma zenon_L1054_ *)
% 11.54/11.70 assert (zenon_L1055_ : (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e2)) -> ((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 (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.54/11.70 do 0 intro. intros zenon_H41 zenon_H255 zenon_H26b zenon_H20 zenon_H11c zenon_H157 zenon_H56 zenon_H122 zenon_H34 zenon_H1f0 zenon_H30 zenon_Hb0 zenon_H3c zenon_H251 zenon_H1e5 zenon_He3 zenon_Hf0 zenon_He2 zenon_Had zenon_H19c zenon_H223 zenon_H1e zenon_H222 zenon_H1f3 zenon_He5 zenon_H1cb zenon_H11b zenon_Hcb zenon_Hc0 zenon_H192 zenon_Hfa zenon_H16e zenon_H18a zenon_H61 zenon_H148 zenon_H13f zenon_H212 zenon_H8d zenon_H16a zenon_Ha4 zenon_H9d zenon_H15d zenon_H1df zenon_H101 zenon_H3b zenon_H233.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.54/11.70 apply (zenon_L1054_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.54/11.70 apply (zenon_L719_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.54/11.70 apply (zenon_L80_); trivial.
% 11.54/11.70 exact (zenon_H233 zenon_Hed).
% 11.54/11.70 (* end of lemma zenon_L1055_ *)
% 11.54/11.70 assert (zenon_L1056_ : ((op (e2) (e1)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.54/11.70 do 0 intro. intros zenon_H145 zenon_Hb9 zenon_H57 zenon_H23c zenon_H41 zenon_H255 zenon_H26b zenon_H20 zenon_H11c zenon_H157 zenon_H56 zenon_H122 zenon_H34 zenon_H1f0 zenon_H30 zenon_Hb0 zenon_H3c zenon_H251 zenon_H1e5 zenon_He3 zenon_Hf0 zenon_He2 zenon_Had zenon_H19c zenon_H223 zenon_H1e zenon_H222 zenon_H1f3 zenon_He5 zenon_H1cb zenon_H11b zenon_Hcb zenon_Hc0 zenon_H192 zenon_Hfa zenon_H16e zenon_H18a zenon_H61 zenon_H148 zenon_H13f zenon_H212 zenon_H8d zenon_H16a zenon_Ha4 zenon_H15d zenon_H1df zenon_H101 zenon_H3b zenon_H233.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ].
% 11.54/11.70 apply (zenon_L1052_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ].
% 11.54/11.70 apply (zenon_L239_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ].
% 11.54/11.70 exact (zenon_H11c zenon_H11f).
% 11.54/11.70 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.54/11.70 exact (zenon_H26b zenon_H72).
% 11.54/11.70 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.54/11.70 apply (zenon_L479_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.54/11.70 apply (zenon_L166_); trivial.
% 11.54/11.70 apply (zenon_L1055_); trivial.
% 11.54/11.70 (* end of lemma zenon_L1056_ *)
% 11.54/11.70 assert (zenon_L1057_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (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)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 11.54/11.70 do 0 intro. intros zenon_H148 zenon_H8b zenon_H61 zenon_H16e zenon_Hfa zenon_H192 zenon_Hc0 zenon_H11b zenon_He5 zenon_H1f3 zenon_H222 zenon_H223 zenon_H19c zenon_Had zenon_He2 zenon_Hf0 zenon_He3 zenon_H1e5 zenon_H233 zenon_H251 zenon_H3c zenon_Hb0 zenon_H30 zenon_H1f0 zenon_H41 zenon_H34 zenon_H15d zenon_H122 zenon_H11c zenon_H20 zenon_H26b zenon_H255 zenon_H263 zenon_H1e zenon_Hcb zenon_H56 zenon_H157 zenon_H18b zenon_H18a zenon_H1cb.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.54/11.70 apply (zenon_L8_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.54/11.70 apply (zenon_L510_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.54/11.70 apply (zenon_L1053_); trivial.
% 11.54/11.70 apply (zenon_L708_); trivial.
% 11.54/11.70 (* end of lemma zenon_L1057_ *)
% 11.54/11.70 assert (zenon_L1058_ : (((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) (e2)) = (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) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (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)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 11.54/11.70 do 0 intro. intros zenon_H8d zenon_H212 zenon_H15e zenon_H3b zenon_H13f zenon_H148 zenon_H61 zenon_H16e zenon_Hfa zenon_H192 zenon_Hc0 zenon_H11b zenon_He5 zenon_H1f3 zenon_H222 zenon_H223 zenon_H19c zenon_Had zenon_He2 zenon_Hf0 zenon_He3 zenon_H1e5 zenon_H233 zenon_H251 zenon_H3c zenon_Hb0 zenon_H30 zenon_H1f0 zenon_H41 zenon_H34 zenon_H15d zenon_H122 zenon_H11c zenon_H20 zenon_H26b zenon_H255 zenon_H263 zenon_H1e zenon_Hcb zenon_H56 zenon_H157 zenon_H18b zenon_H18a zenon_H1cb.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.54/11.70 apply (zenon_L299_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.54/11.70 apply (zenon_L510_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.54/11.70 apply (zenon_L119_); trivial.
% 11.54/11.70 apply (zenon_L1057_); trivial.
% 11.54/11.70 (* end of lemma zenon_L1058_ *)
% 11.54/11.70 assert (zenon_L1059_ : (((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)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.54/11.70 do 0 intro. intros zenon_H154 zenon_H57 zenon_H23c zenon_H91 zenon_H117 zenon_H18a zenon_H61 zenon_H40.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H7a | zenon_intro zenon_H155 ].
% 11.54/11.70 apply (zenon_L479_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H90 | zenon_intro zenon_H156 ].
% 11.54/11.70 exact (zenon_H91 zenon_H90).
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 11.54/11.70 apply (zenon_L332_); trivial.
% 11.54/11.70 apply (zenon_L634_); trivial.
% 11.54/11.70 (* end of lemma zenon_L1059_ *)
% 11.54/11.70 assert (zenon_L1060_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 11.54/11.70 do 0 intro. intros zenon_H4c zenon_H61 zenon_H117 zenon_H91 zenon_H23c zenon_H57 zenon_H154 zenon_H255 zenon_H26b zenon_H13f zenon_H212 zenon_H8d zenon_Hb9 zenon_H16a zenon_H1df zenon_H44 zenon_H101 zenon_H1ca zenon_H161 zenon_Hf3 zenon_H10e zenon_H226 zenon_Hb7 zenon_H148 zenon_H20 zenon_H11c zenon_H122 zenon_H15d zenon_H34 zenon_H41 zenon_H1f0 zenon_H30 zenon_Hb0 zenon_H3c zenon_H251 zenon_H233 zenon_H1e5 zenon_He3 zenon_Hf0 zenon_He2 zenon_Had zenon_H19c zenon_H223 zenon_H222 zenon_H1f3 zenon_He5 zenon_H11b zenon_H16e zenon_Hc0 zenon_H192 zenon_Hfa zenon_H263 zenon_H1e zenon_Hcb zenon_H56 zenon_H157 zenon_H18b zenon_H18a zenon_H1cb.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.54/11.70 apply (zenon_L58_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.54/11.70 apply (zenon_L8_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.54/11.70 apply (zenon_L8_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.54/11.70 apply (zenon_L510_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.54/11.70 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.54/11.70 apply (zenon_L702_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.54/11.70 apply (zenon_L1056_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.54/11.70 apply (zenon_L1058_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.54/11.70 apply (zenon_L708_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.54/11.70 apply (zenon_L271_); trivial.
% 11.54/11.70 exact (zenon_H233 zenon_Hed).
% 11.54/11.70 apply (zenon_L699_); trivial.
% 11.54/11.70 apply (zenon_L708_); trivial.
% 11.54/11.70 apply (zenon_L1059_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.54/11.70 apply (zenon_L2_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.54/11.70 apply (zenon_L1048_); trivial.
% 11.54/11.70 apply (zenon_L1051_); trivial.
% 11.54/11.70 (* end of lemma zenon_L1060_ *)
% 11.54/11.70 assert (zenon_L1061_ : (((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 (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (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 (e3) (e3)) = (e3))) -> False).
% 11.54/11.70 do 0 intro. intros zenon_H251 zenon_H212 zenon_H75 zenon_H1cb zenon_H18b zenon_H157 zenon_Hcb zenon_H1e zenon_H263 zenon_H1e5 zenon_H3c zenon_H1f3 zenon_H56 zenon_Hf0 zenon_Hc3 zenon_H15d zenon_H18a zenon_He3 zenon_H1f0 zenon_H233.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ].
% 11.54/11.70 apply (zenon_L299_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 11.54/11.70 apply (zenon_L708_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ].
% 11.54/11.70 apply (zenon_L681_); trivial.
% 11.54/11.70 exact (zenon_H233 zenon_Hed).
% 11.54/11.70 (* end of lemma zenon_L1061_ *)
% 11.54/11.70 assert (zenon_L1062_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((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) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 11.54/11.70 do 0 intro. intros zenon_H1f0 zenon_H233 zenon_He3 zenon_H18a zenon_H15d zenon_Hc3 zenon_Hf0 zenon_H56 zenon_H1f3 zenon_H2e zenon_H101 zenon_H1e5.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ].
% 11.54/11.70 apply (zenon_L662_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ].
% 11.54/11.70 apply (zenon_L278_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ].
% 11.54/11.70 apply (zenon_L476_); trivial.
% 11.54/11.70 exact (zenon_H1e5 zenon_He7).
% 11.54/11.70 (* end of lemma zenon_L1062_ *)
% 11.54/11.70 assert (zenon_L1063_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.54/11.70 do 0 intro. intros zenon_H22e zenon_H1e5 zenon_H101 zenon_H1f3 zenon_Hf0 zenon_Hc3 zenon_H15d zenon_He3 zenon_H1f0 zenon_H216 zenon_H11c zenon_H251 zenon_H226 zenon_H152 zenon_H1cb zenon_H18a zenon_H18b zenon_H157 zenon_H56 zenon_Hcb zenon_H1e zenon_H263 zenon_H3c zenon_H233.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.54/11.70 apply (zenon_L1062_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.54/11.70 apply (zenon_L304_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.54/11.70 exact (zenon_H11c zenon_H11f).
% 11.54/11.70 apply (zenon_L713_); trivial.
% 11.54/11.70 (* end of lemma zenon_L1063_ *)
% 11.54/11.70 assert (zenon_L1064_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.54/11.70 do 0 intro. intros zenon_H4c zenon_H34 zenon_H22e zenon_H216 zenon_H11c zenon_H251 zenon_H226 zenon_H1cb zenon_H18b zenon_H157 zenon_Hcb zenon_H263 zenon_H3c zenon_H212 zenon_H161 zenon_H20 zenon_H1e zenon_H1e5 zenon_H101 zenon_H1f3 zenon_H56 zenon_H1f0 zenon_Hf0 zenon_Hc3 zenon_H15d zenon_H13a zenon_H18a zenon_He3 zenon_H233.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ].
% 11.54/11.70 apply (zenon_L58_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ].
% 11.54/11.70 apply (zenon_L1061_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ].
% 11.54/11.70 apply (zenon_L1063_); trivial.
% 11.54/11.70 apply (zenon_L201_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.54/11.70 apply (zenon_L2_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.54/11.70 apply (zenon_L1062_); trivial.
% 11.54/11.70 apply (zenon_L712_); trivial.
% 11.54/11.70 (* end of lemma zenon_L1064_ *)
% 11.54/11.70 assert (zenon_L1065_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (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 (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (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) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (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 (e1) (e0)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (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) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 11.54/11.70 do 0 intro. intros zenon_H1ff zenon_H12d zenon_H216 zenon_H22e zenon_H13a zenon_H44 zenon_H91 zenon_H117 zenon_H154 zenon_Hb9 zenon_H8d zenon_H255 zenon_H61 zenon_H13f zenon_H212 zenon_H1df zenon_H16a zenon_H23c zenon_H26b zenon_H20 zenon_H10b zenon_H56 zenon_Hb7 zenon_Hfa zenon_Had zenon_Hc0 zenon_H192 zenon_H19c zenon_H1ca zenon_H3c zenon_H148 zenon_Hcb zenon_H157 zenon_H18b zenon_H263 zenon_H10e zenon_He2 zenon_H122 zenon_Hb0 zenon_He5 zenon_H1cb zenon_H223 zenon_H41 zenon_H30 zenon_H222 zenon_Hf0 zenon_H233 zenon_H18a zenon_He3 zenon_H15d zenon_H1f3 zenon_H1f0 zenon_Hf3 zenon_H1e zenon_H34 zenon_H226 zenon_H251 zenon_H101 zenon_H161 zenon_H11b zenon_H16e zenon_H4c zenon_H1fe.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ].
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ].
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.54/11.70 apply (zenon_L129_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.54/11.70 apply (zenon_L223_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.54/11.70 apply (zenon_L1048_); trivial.
% 11.54/11.70 apply (zenon_L1051_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.54/11.70 apply (zenon_L1060_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.54/11.70 apply (zenon_L697_); trivial.
% 11.54/11.70 apply (zenon_L1064_); trivial.
% 11.54/11.70 apply (zenon_L708_); trivial.
% 11.54/11.70 apply (zenon_L184_); trivial.
% 11.54/11.70 (* end of lemma zenon_L1065_ *)
% 11.54/11.70 assert (zenon_L1066_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 11.54/11.70 do 0 intro. intros zenon_H22e zenon_H210 zenon_H216 zenon_H11c zenon_H167 zenon_H222 zenon_H10b zenon_H6c zenon_H47 zenon_H71 zenon_H251 zenon_H226 zenon_H18b zenon_H157 zenon_H56 zenon_Hcb zenon_H263 zenon_H3c zenon_H233 zenon_H259 zenon_H1cb zenon_H147 zenon_He2 zenon_H18a zenon_H41.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.54/11.70 apply (zenon_L522_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.54/11.70 apply (zenon_L304_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.54/11.70 exact (zenon_H11c zenon_H11f).
% 11.54/11.70 apply (zenon_L716_); trivial.
% 11.54/11.70 (* end of lemma zenon_L1066_ *)
% 11.54/11.70 assert (zenon_L1067_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (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) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((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 (e0) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (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) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((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))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (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) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((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)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.54/11.70 do 0 intro. intros zenon_H12d zenon_H1b8 zenon_Hf6 zenon_H216 zenon_H210 zenon_H22e zenon_H27 zenon_H18b zenon_H148 zenon_Had zenon_H1e5 zenon_H1f3 zenon_H1f0 zenon_Hb0 zenon_H222 zenon_H71 zenon_H251 zenon_H226 zenon_H263 zenon_H259 zenon_H1cb zenon_H106 zenon_H44 zenon_Hf3 zenon_H125 zenon_H1df zenon_H16a zenon_H1e2 zenon_H101 zenon_H122 zenon_H1ca zenon_H255 zenon_H26b zenon_H13f zenon_H212 zenon_H8d zenon_Hb9 zenon_H161 zenon_H10e zenon_Hb7 zenon_H223 zenon_He5 zenon_H16e zenon_Hfa zenon_H203 zenon_H41 zenon_Hcb zenon_H11b zenon_H3c zenon_H157 zenon_H30 zenon_H167 zenon_H34 zenon_H154 zenon_H23c zenon_H91 zenon_H117 zenon_H61 zenon_He2 zenon_H192 zenon_H11c zenon_Hc0 zenon_H19c zenon_H4c zenon_H4d zenon_H10b zenon_H56 zenon_H20 zenon_Hd0 zenon_Hf0 zenon_H15d zenon_H13a zenon_H18a zenon_He3 zenon_H233.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.54/11.70 apply (zenon_L221_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.54/11.70 exact (zenon_H4d zenon_H4f).
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.54/11.70 apply (zenon_L223_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.54/11.70 apply (zenon_L61_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.54/11.70 exact (zenon_H4d zenon_H4f).
% 11.54/11.70 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.54/11.70 apply (zenon_L459_); trivial.
% 11.54/11.70 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.54/11.70 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ].
% 11.54/11.71 apply (zenon_L1060_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ].
% 11.54/11.71 apply (zenon_L232_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ].
% 11.54/11.71 apply (zenon_L722_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.54/11.71 apply (zenon_L64_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ].
% 11.54/11.71 apply (zenon_L680_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ].
% 11.54/11.71 apply (zenon_L510_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ].
% 11.54/11.71 apply (zenon_L522_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ].
% 11.54/11.71 apply (zenon_L304_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ].
% 11.54/11.71 exact (zenon_H11c zenon_H11f).
% 11.54/11.71 apply (zenon_L718_); trivial.
% 11.54/11.71 apply (zenon_L1066_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.54/11.71 apply (zenon_L184_); trivial.
% 11.54/11.71 apply (zenon_L98_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.54/11.71 apply (zenon_L680_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.54/11.71 apply (zenon_L59_); trivial.
% 11.54/11.71 apply (zenon_L1059_); trivial.
% 11.54/11.71 apply (zenon_L535_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.54/11.71 apply (zenon_L697_); trivial.
% 11.54/11.71 apply (zenon_L724_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1067_ *)
% 11.54/11.71 assert (zenon_L1068_ : ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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 (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((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) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (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 (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((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 (e2) (e3)))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (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))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 11.54/11.71 do 0 intro. intros zenon_H1b0 zenon_H228 zenon_H105 zenon_H92 zenon_H16c zenon_H1aa zenon_H242 zenon_H95 zenon_Hc4 zenon_H65 zenon_H236 zenon_H18f zenon_H1b8 zenon_H106 zenon_H71 zenon_H259 zenon_H1e2 zenon_H125 zenon_H203 zenon_H226 zenon_H15d zenon_Hf0 zenon_H223 zenon_He5 zenon_H122 zenon_H263 zenon_H18b zenon_Hc0 zenon_Hfa zenon_H26b zenon_H23c zenon_H1df zenon_H212 zenon_H13f zenon_H61 zenon_H255 zenon_H8d zenon_Hb9 zenon_H154 zenon_H117 zenon_H13a zenon_H12d zenon_H10b zenon_H49 zenon_H16e zenon_H34 zenon_H20 zenon_H148 zenon_H210 zenon_Hb0 zenon_He3 zenon_Had zenon_H19c zenon_H222 zenon_H1cb zenon_H251 zenon_H22e zenon_H91 zenon_H1d5 zenon_Hf3 zenon_H10e zenon_Hfb zenon_H11b zenon_H30 zenon_H157 zenon_H3c zenon_Hcb zenon_He2 zenon_H41 zenon_H167 zenon_H1f0 zenon_H101 zenon_H1f3 zenon_H161 zenon_H27 zenon_H44 zenon_Hf6 zenon_Hb7 zenon_H216 zenon_H16a zenon_H1ca zenon_H4c zenon_H18a zenon_H192 zenon_H233.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hb5 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.54/11.71 apply (zenon_L129_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.54/11.71 apply (zenon_L985_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.54/11.71 apply (zenon_L673_); trivial.
% 11.54/11.71 apply (zenon_L851_); trivial.
% 11.54/11.71 apply (zenon_L1041_); trivial.
% 11.54/11.71 apply (zenon_L334_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H4d | zenon_intro zenon_H1e ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.54/11.71 apply (zenon_L990_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.54/11.71 apply (zenon_L1065_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.54/11.71 apply (zenon_L1067_); trivial.
% 11.54/11.71 exact (zenon_H26b zenon_H72).
% 11.54/11.71 apply (zenon_L690_); trivial.
% 11.54/11.71 apply (zenon_L184_); trivial.
% 11.54/11.71 apply (zenon_L1065_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.54/11.71 apply (zenon_L729_); trivial.
% 11.54/11.71 apply (zenon_L456_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1068_ *)
% 11.54/11.71 assert (zenon_L1069_ : ((~((op (e3) (e3)) = (e0)))\/(~((op (e3) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((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 (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (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) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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)))))))))) -> False).
% 11.54/11.71 do 0 intro. intros zenon_H25d zenon_H234 zenon_Hfa zenon_H65 zenon_H27 zenon_H18f zenon_H4c zenon_H1ca zenon_H44 zenon_H20 zenon_H23c zenon_H154 zenon_H226 zenon_Hcb zenon_Hb9 zenon_H34 zenon_H167 zenon_H141 zenon_H61 zenon_H117 zenon_H1e2 zenon_Hb7 zenon_H3c zenon_H101 zenon_H1f0 zenon_H10b zenon_H157 zenon_H16e zenon_H11b zenon_H12d zenon_H222 zenon_H1f3 zenon_Hf0 zenon_H15e zenon_H15d zenon_He5 zenon_H16a zenon_H223 zenon_H197 zenon_H192 zenon_H228 zenon_H22e zenon_H10e zenon_H125 zenon_H5c zenon_H13f zenon_H245 zenon_H122 zenon_H105 zenon_H95 zenon_H212 zenon_H8d zenon_Hc4 zenon_Hc0 zenon_H242 zenon_H216 zenon_Hb8 zenon_Hf6 zenon_H30 zenon_H49 zenon_H41 zenon_Had zenon_Hb0 zenon_H13a zenon_H1b0.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H9e | zenon_intro zenon_H252 ].
% 11.54/11.71 apply (zenon_L515_); trivial.
% 11.54/11.71 exact (zenon_H252 zenon_H15e).
% 11.54/11.71 (* end of lemma zenon_L1069_ *)
% 11.54/11.71 assert (zenon_L1070_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 11.54/11.71 do 0 intro. intros zenon_Hf0 zenon_H9e zenon_H1e5 zenon_H9a zenon_H15d zenon_He5 zenon_H147.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.54/11.71 exact (zenon_H9e zenon_H9d).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.54/11.71 exact (zenon_H1e5 zenon_He7).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.54/11.71 apply (zenon_L997_); trivial.
% 11.54/11.71 apply (zenon_L132_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1070_ *)
% 11.54/11.71 assert (zenon_L1071_ : (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (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) (e3)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> False).
% 11.54/11.71 do 0 intro. intros zenon_H51 zenon_H1e2 zenon_H34 zenon_H147 zenon_H1df zenon_H16a zenon_H15d zenon_H1e5 zenon_He5 zenon_Hf0 zenon_H122.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ].
% 11.54/11.71 apply (zenon_L261_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ].
% 11.54/11.71 apply (zenon_L670_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ].
% 11.54/11.71 apply (zenon_L261_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ].
% 11.54/11.71 apply (zenon_L952_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ].
% 11.54/11.71 apply (zenon_L1070_); trivial.
% 11.54/11.71 apply (zenon_L474_); trivial.
% 11.54/11.71 exact (zenon_H9e zenon_H9d).
% 11.54/11.71 apply (zenon_L474_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1071_ *)
% 11.54/11.71 assert (zenon_L1072_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 11.54/11.71 do 0 intro. intros zenon_Hf0 zenon_Hc3 zenon_H15d zenon_H1e5 zenon_Hb1 zenon_He5 zenon_H147.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.54/11.71 apply (zenon_L548_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.54/11.71 exact (zenon_H1e5 zenon_He7).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.54/11.71 exact (zenon_Hb1 zenon_Hb4).
% 11.54/11.71 apply (zenon_L132_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1072_ *)
% 11.54/11.71 assert (zenon_L1073_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 11.54/11.71 do 0 intro. intros zenon_Hf0 zenon_Ha4 zenon_H99 zenon_H1e5 zenon_Hb1 zenon_He5 zenon_H147.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.54/11.71 apply (zenon_L45_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.54/11.71 exact (zenon_H1e5 zenon_He7).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.54/11.71 exact (zenon_Hb1 zenon_Hb4).
% 11.54/11.71 apply (zenon_L132_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1073_ *)
% 11.54/11.71 assert (zenon_L1074_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 11.54/11.71 do 0 intro. intros zenon_Hb0 zenon_H30 zenon_H147 zenon_He5 zenon_H1e5 zenon_H99 zenon_Hf0 zenon_H5a zenon_Had zenon_Hb1.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ].
% 11.54/11.71 apply (zenon_L41_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ].
% 11.54/11.71 apply (zenon_L1073_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ].
% 11.54/11.71 apply (zenon_L46_); trivial.
% 11.54/11.71 exact (zenon_Hb1 zenon_Hb4).
% 11.54/11.71 (* end of lemma zenon_L1074_ *)
% 11.54/11.71 assert (zenon_L1075_ : (((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)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 11.54/11.71 do 0 intro. intros zenon_H1df zenon_H15d zenon_Hb1 zenon_Had zenon_H5a zenon_Hf0 zenon_H1e5 zenon_He5 zenon_H30 zenon_Hb0 zenon_Ha4 zenon_H147 zenon_H16a.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ].
% 11.54/11.71 apply (zenon_L1072_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ].
% 11.54/11.71 apply (zenon_L1074_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ].
% 11.54/11.71 apply (zenon_L268_); trivial.
% 11.54/11.71 apply (zenon_L474_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1075_ *)
% 11.54/11.71 assert (zenon_L1076_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (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) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 11.54/11.71 do 0 intro. intros zenon_H106 zenon_H1f zenon_H68 zenon_Hc8 zenon_H1df zenon_H15d zenon_Hb1 zenon_Had zenon_H5a zenon_Hf0 zenon_H1e5 zenon_He5 zenon_H30 zenon_Hb0 zenon_H147 zenon_H16a.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.54/11.71 apply (zenon_L211_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.54/11.71 exact (zenon_H68 zenon_H6c).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.54/11.71 apply (zenon_L54_); trivial.
% 11.54/11.71 apply (zenon_L1075_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1076_ *)
% 11.54/11.71 assert (zenon_L1077_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 11.54/11.71 do 0 intro. intros zenon_Hf0 zenon_H72 zenon_H13a zenon_H1e5 zenon_Hb1 zenon_He5 zenon_H147.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.54/11.71 apply (zenon_L466_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.54/11.71 exact (zenon_H1e5 zenon_He7).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.54/11.71 exact (zenon_Hb1 zenon_Hb4).
% 11.54/11.71 apply (zenon_L132_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1077_ *)
% 11.54/11.71 assert (zenon_L1078_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 11.54/11.71 do 0 intro. intros zenon_H1f0 zenon_Hb1 zenon_Had zenon_Hf0 zenon_He5 zenon_H30 zenon_Hb0 zenon_H147 zenon_H3c zenon_H3b zenon_H13f zenon_H5a zenon_H5c zenon_H125 zenon_H7a zenon_H228 zenon_H245 zenon_H1e5.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ].
% 11.54/11.71 apply (zenon_L1074_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ].
% 11.54/11.71 apply (zenon_L157_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ].
% 11.54/11.71 apply (zenon_L513_); trivial.
% 11.54/11.71 exact (zenon_H1e5 zenon_He7).
% 11.54/11.71 (* end of lemma zenon_L1078_ *)
% 11.54/11.71 assert (zenon_L1079_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 11.54/11.71 do 0 intro. intros zenon_Hf0 zenon_H96 zenon_He3 zenon_H1e5 zenon_Hb1 zenon_He5 zenon_H147.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ].
% 11.54/11.71 apply (zenon_L71_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ].
% 11.54/11.71 exact (zenon_H1e5 zenon_He7).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ].
% 11.54/11.71 exact (zenon_Hb1 zenon_Hb4).
% 11.54/11.71 apply (zenon_L132_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1079_ *)
% 11.54/11.71 assert (zenon_L1080_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 11.54/11.71 do 0 intro. intros zenon_H1f0 zenon_Hb1 zenon_Had zenon_H5a zenon_H9d zenon_H30 zenon_Hb0 zenon_H147 zenon_H3c zenon_H2e zenon_H101 zenon_H1e5.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ].
% 11.54/11.71 apply (zenon_L47_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ].
% 11.54/11.71 apply (zenon_L157_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ].
% 11.54/11.71 apply (zenon_L476_); trivial.
% 11.54/11.71 exact (zenon_H1e5 zenon_He7).
% 11.54/11.71 (* end of lemma zenon_L1080_ *)
% 11.54/11.71 assert (zenon_L1081_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 11.54/11.71 do 0 intro. intros zenon_Hb9 zenon_H13a zenon_H245 zenon_H228 zenon_H125 zenon_H5c zenon_H13f zenon_H3b zenon_He5 zenon_He3 zenon_Hf0 zenon_H1f0 zenon_Hb1 zenon_Had zenon_H5a zenon_H30 zenon_Hb0 zenon_H147 zenon_H3c zenon_H2e zenon_H101 zenon_H1e5.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.54/11.71 apply (zenon_L1077_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.54/11.71 apply (zenon_L1078_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.54/11.71 apply (zenon_L1079_); trivial.
% 11.54/11.71 apply (zenon_L1080_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1081_ *)
% 11.54/11.71 assert (zenon_L1082_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 11.54/11.71 do 0 intro. intros zenon_Hb9 zenon_H13a zenon_H192 zenon_H27 zenon_H40 zenon_H41 zenon_H197 zenon_He5 zenon_He3 zenon_Hf0 zenon_H1f0 zenon_Hb1 zenon_Had zenon_H5a zenon_H30 zenon_Hb0 zenon_H147 zenon_H3c zenon_H2e zenon_H101 zenon_H1e5.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ].
% 11.54/11.71 apply (zenon_L1077_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ].
% 11.54/11.71 apply (zenon_L781_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ].
% 11.54/11.71 apply (zenon_L1079_); trivial.
% 11.54/11.71 apply (zenon_L1080_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1082_ *)
% 11.54/11.71 assert (zenon_L1083_ : (((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 (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 11.54/11.71 do 0 intro. intros zenon_H44 zenon_H34 zenon_H25 zenon_H222 zenon_H13f zenon_H5c zenon_H125 zenon_H228 zenon_H245 zenon_Hb9 zenon_H13a zenon_H192 zenon_H27 zenon_H41 zenon_H197 zenon_He5 zenon_He3 zenon_Hf0 zenon_H1f0 zenon_Hb1 zenon_Had zenon_H5a zenon_H30 zenon_Hb0 zenon_H147 zenon_H3c zenon_H2e zenon_H101 zenon_H1e5.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.54/11.71 apply (zenon_L7_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.54/11.71 apply (zenon_L714_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.54/11.71 apply (zenon_L1081_); trivial.
% 11.54/11.71 apply (zenon_L1082_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1083_ *)
% 11.54/11.71 assert (zenon_L1084_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 11.54/11.71 do 0 intro. intros zenon_H197 zenon_H30 zenon_H47 zenon_H41 zenon_H8b zenon_H5a zenon_H192 zenon_Hb1.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H3f | zenon_intro zenon_H198 ].
% 11.54/11.71 apply (zenon_L15_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H62 | zenon_intro zenon_H199 ].
% 11.54/11.71 apply (zenon_L465_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H18a | zenon_intro zenon_Hb4 ].
% 11.54/11.71 apply (zenon_L186_); trivial.
% 11.54/11.71 exact (zenon_Hb1 zenon_Hb4).
% 11.54/11.71 (* end of lemma zenon_L1084_ *)
% 11.54/11.71 assert (zenon_L1085_ : (((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)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 11.54/11.71 do 0 intro. intros zenon_H8d zenon_H3c zenon_H6d zenon_H1f3 zenon_H147 zenon_H3b zenon_H13f zenon_H197 zenon_H30 zenon_H47 zenon_H41 zenon_H5a zenon_H192 zenon_Hb1.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ].
% 11.54/11.71 apply (zenon_L123_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ].
% 11.54/11.71 apply (zenon_L1005_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ].
% 11.54/11.71 apply (zenon_L119_); trivial.
% 11.54/11.71 apply (zenon_L1084_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1085_ *)
% 11.54/11.71 assert (zenon_L1086_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 11.54/11.71 do 0 intro. intros zenon_H1f0 zenon_Hb1 zenon_Had zenon_H5a zenon_Hf0 zenon_He5 zenon_H30 zenon_Hb0 zenon_H147 zenon_H3c zenon_H88 zenon_H125 zenon_H1e5.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ].
% 11.54/11.71 apply (zenon_L1074_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ].
% 11.54/11.71 apply (zenon_L157_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ].
% 11.54/11.71 apply (zenon_L393_); trivial.
% 11.54/11.71 exact (zenon_H1e5 zenon_He7).
% 11.54/11.71 (* end of lemma zenon_L1086_ *)
% 11.54/11.71 assert (zenon_L1087_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> False).
% 11.54/11.71 do 0 intro. intros zenon_H138 zenon_H1d8 zenon_Hb0 zenon_H5a zenon_Had zenon_H1e5 zenon_He5 zenon_H147 zenon_Hf0 zenon_H30 zenon_H3c zenon_H125 zenon_H88 zenon_H1f0.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ].
% 11.54/11.71 apply (zenon_L1086_); trivial.
% 11.54/11.71 apply (zenon_L279_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1087_ *)
% 11.54/11.71 assert (zenon_L1088_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 11.54/11.71 do 0 intro. intros zenon_H44 zenon_H2c zenon_H222 zenon_H61 zenon_H138 zenon_H1d8 zenon_Hb0 zenon_H5a zenon_Had zenon_H1e5 zenon_He5 zenon_H147 zenon_Hf0 zenon_H30 zenon_H125 zenon_H1f0 zenon_H54 zenon_H8d zenon_H1f3 zenon_H13f zenon_H197 zenon_H41 zenon_H192 zenon_Hb1 zenon_H92 zenon_H47 zenon_H3c.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.54/11.71 apply (zenon_L64_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.54/11.71 apply (zenon_L714_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ].
% 11.54/11.71 apply (zenon_L1085_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ].
% 11.54/11.71 exact (zenon_H54 zenon_H56).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ].
% 11.54/11.71 apply (zenon_L1087_); trivial.
% 11.54/11.71 apply (zenon_L127_); trivial.
% 11.54/11.71 apply (zenon_L14_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1088_ *)
% 11.54/11.71 assert (zenon_L1089_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (((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 (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 11.54/11.71 do 0 intro. intros zenon_H49 zenon_H2b zenon_H3c zenon_H92 zenon_Hb1 zenon_H192 zenon_H41 zenon_H197 zenon_H13f zenon_H1f3 zenon_H8d zenon_H54 zenon_H1f0 zenon_H125 zenon_Hf0 zenon_H147 zenon_He5 zenon_H1e5 zenon_Had zenon_Hb0 zenon_H1d8 zenon_H138 zenon_H61 zenon_H222 zenon_H44 zenon_H65 zenon_H5a zenon_H47 zenon_H30.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ].
% 11.54/11.71 exact (zenon_H2b zenon_H26).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ].
% 11.54/11.71 apply (zenon_L1088_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 11.54/11.71 apply (zenon_L23_); trivial.
% 11.54/11.71 apply (zenon_L15_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1089_ *)
% 11.54/11.71 assert (zenon_L1090_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (((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 (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> False).
% 11.54/11.71 do 0 intro. intros zenon_H4c zenon_H20 zenon_H16a zenon_H15d zenon_H1df zenon_Hc8 zenon_H68 zenon_H106 zenon_H101 zenon_He3 zenon_H27 zenon_H13a zenon_Hb9 zenon_H245 zenon_H228 zenon_H5c zenon_H25 zenon_H34 zenon_H49 zenon_H2b zenon_H3c zenon_H92 zenon_Hb1 zenon_H192 zenon_H41 zenon_H197 zenon_H13f zenon_H1f3 zenon_H8d zenon_H54 zenon_H1f0 zenon_H125 zenon_Hf0 zenon_H147 zenon_He5 zenon_H1e5 zenon_Had zenon_Hb0 zenon_H1d8 zenon_H138 zenon_H61 zenon_H222 zenon_H44 zenon_H65 zenon_H5a zenon_H30.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.54/11.71 apply (zenon_L129_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.54/11.71 apply (zenon_L1076_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.54/11.71 apply (zenon_L1083_); trivial.
% 11.54/11.71 apply (zenon_L1089_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1090_ *)
% 11.54/11.71 assert (zenon_L1091_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 11.54/11.71 do 0 intro. intros zenon_H15a zenon_H57 zenon_H1ca zenon_H54 zenon_H68 zenon_H147 zenon_H1f3.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ].
% 11.54/11.71 apply (zenon_L232_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ].
% 11.54/11.71 exact (zenon_H54 zenon_H56).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ].
% 11.54/11.71 exact (zenon_H68 zenon_H6c).
% 11.54/11.71 apply (zenon_L1005_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1091_ *)
% 11.54/11.71 assert (zenon_L1092_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 11.54/11.71 do 0 intro. intros zenon_Hb7 zenon_H4d zenon_H101 zenon_H2e zenon_H3c zenon_H212 zenon_H1f0 zenon_H20 zenon_H6e zenon_Hb0 zenon_H30 zenon_H147 zenon_He5 zenon_H1e5 zenon_Hf0 zenon_H5a zenon_Had zenon_Hb1.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.54/11.71 exact (zenon_H4d zenon_H4f).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ].
% 11.54/11.71 apply (zenon_L331_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ].
% 11.54/11.71 apply (zenon_L157_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ].
% 11.54/11.71 apply (zenon_L476_); trivial.
% 11.54/11.71 exact (zenon_H1e5 zenon_He7).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.54/11.71 apply (zenon_L29_); trivial.
% 11.54/11.71 apply (zenon_L1074_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1092_ *)
% 11.54/11.71 assert (zenon_L1093_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((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)) = (e0)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 11.54/11.71 do 0 intro. intros zenon_H4c zenon_H16a zenon_H15d zenon_H1df zenon_H6e zenon_H20 zenon_H1f0 zenon_H212 zenon_H101 zenon_Hb7 zenon_H4d zenon_H8d zenon_H1f3 zenon_H13f zenon_H197 zenon_H41 zenon_H192 zenon_H222 zenon_H106 zenon_H68 zenon_Hc8 zenon_H44 zenon_H3c zenon_Hc4 zenon_H54 zenon_H71 zenon_H105 zenon_Hb0 zenon_H30 zenon_H147 zenon_He5 zenon_H1e5 zenon_Hf0 zenon_H5a zenon_Had zenon_Hb1.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.54/11.71 exact (zenon_H4d zenon_H4f).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.54/11.71 apply (zenon_L1076_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.54/11.71 apply (zenon_L1092_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.54/11.71 exact (zenon_H4d zenon_H4f).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ].
% 11.54/11.71 apply (zenon_L64_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ].
% 11.54/11.71 exact (zenon_H68 zenon_H6c).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ].
% 11.54/11.71 apply (zenon_L54_); trivial.
% 11.54/11.71 apply (zenon_L609_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.54/11.71 apply (zenon_L714_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.54/11.71 apply (zenon_L1085_); trivial.
% 11.54/11.71 apply (zenon_L14_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.54/11.71 apply (zenon_L200_); trivial.
% 11.54/11.71 apply (zenon_L1074_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1093_ *)
% 11.54/11.71 assert (zenon_L1094_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 11.54/11.71 do 0 intro. intros zenon_H12d zenon_H1b8 zenon_Hd0 zenon_H1ca zenon_H15a zenon_Had zenon_H5a zenon_H30 zenon_Hb0 zenon_H105 zenon_H71 zenon_H54 zenon_Hc4 zenon_H3c zenon_H44 zenon_Hc8 zenon_H68 zenon_H106 zenon_H222 zenon_H192 zenon_H41 zenon_H197 zenon_H13f zenon_H1f3 zenon_H8d zenon_H4d zenon_Hb7 zenon_H101 zenon_H212 zenon_H1f0 zenon_H20 zenon_H1df zenon_H16a zenon_H4c zenon_Hf0 zenon_H15d zenon_H1e5 zenon_Hb1 zenon_He5 zenon_H147.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.54/11.71 apply (zenon_L221_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.54/11.71 apply (zenon_L1091_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.54/11.71 apply (zenon_L1093_); trivial.
% 11.54/11.71 apply (zenon_L1072_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1094_ *)
% 11.54/11.71 assert (zenon_L1095_ : ((~((op (e3) (e3)) = (e1)))\/(~((op (e3) (e1)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((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 (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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)))))))))) -> False).
% 11.54/11.71 do 0 intro. intros zenon_H273 zenon_H122 zenon_Hf0 zenon_He5 zenon_H15d zenon_H16a zenon_H1df zenon_H147 zenon_H34 zenon_H1e2 zenon_H54 zenon_H12d zenon_H4d zenon_Hb7 zenon_H212 zenon_H71 zenon_Hc4 zenon_H105 zenon_H1ca zenon_H15a zenon_H20 zenon_H106 zenon_Hb0 zenon_Had zenon_Hc8 zenon_H30 zenon_H44 zenon_H197 zenon_H192 zenon_H27 zenon_H41 zenon_H13a zenon_H1f0 zenon_H228 zenon_H125 zenon_H5c zenon_H13f zenon_H245 zenon_H3c zenon_He3 zenon_H101 zenon_Hb9 zenon_H222 zenon_H49 zenon_H65 zenon_H92 zenon_H61 zenon_H1d8 zenon_H1f3 zenon_H8d zenon_H4c zenon_H1b8 zenon_H1b0.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H274 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.54/11.71 apply (zenon_L1071_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.54/11.71 apply (zenon_L19_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H139. zenon_intro zenon_H138.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.54/11.71 apply (zenon_L1090_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.54/11.71 apply (zenon_L1091_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.54/11.71 apply (zenon_L1093_); trivial.
% 11.54/11.71 apply (zenon_L1072_); trivial.
% 11.54/11.71 apply (zenon_L279_); trivial.
% 11.54/11.71 apply (zenon_L1087_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ].
% 11.54/11.71 apply (zenon_L1094_); trivial.
% 11.54/11.71 apply (zenon_L279_); trivial.
% 11.54/11.71 apply (zenon_L1087_); trivial.
% 11.54/11.71 apply (zenon_L370_); trivial.
% 11.54/11.71 exact (zenon_H274 zenon_H147).
% 11.54/11.71 (* end of lemma zenon_L1095_ *)
% 11.54/11.71 assert (zenon_L1096_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 11.54/11.71 do 0 intro. intros zenon_H167 zenon_H34 zenon_H6e zenon_H1cb zenon_H147 zenon_H41 zenon_H5a zenon_H16e zenon_H40.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ].
% 11.54/11.71 apply (zenon_L161_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ].
% 11.54/11.71 apply (zenon_L643_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ].
% 11.54/11.71 apply (zenon_L70_); trivial.
% 11.54/11.71 apply (zenon_L667_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1096_ *)
% 11.54/11.71 assert (zenon_L1097_ : (((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 (e3) (e1)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 11.54/11.71 do 0 intro. intros zenon_H44 zenon_H3c zenon_H4f zenon_H222 zenon_Hd0 zenon_H167 zenon_H34 zenon_H6e zenon_H1cb zenon_H147 zenon_H41 zenon_H5a zenon_H16e.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.54/11.71 apply (zenon_L58_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.54/11.71 apply (zenon_L714_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.54/11.71 apply (zenon_L59_); trivial.
% 11.54/11.71 apply (zenon_L1096_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1097_ *)
% 11.54/11.71 assert (zenon_L1098_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 11.54/11.71 do 0 intro. intros zenon_H12d zenon_H1b8 zenon_H1ca zenon_H15a zenon_Had zenon_H5a zenon_H30 zenon_Hb0 zenon_H105 zenon_H71 zenon_H54 zenon_Hc4 zenon_H3c zenon_H44 zenon_H259 zenon_H271 zenon_Hcb zenon_H222 zenon_H192 zenon_H41 zenon_H197 zenon_H13f zenon_H1f3 zenon_H8d zenon_Hd0 zenon_H167 zenon_H34 zenon_H1cb zenon_H16e zenon_Hb7 zenon_H20 zenon_H106 zenon_H68 zenon_Hc8 zenon_H1df zenon_H16a zenon_H4c zenon_Hf0 zenon_H15d zenon_H1e5 zenon_Hb1 zenon_He5 zenon_H147.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ].
% 11.54/11.71 apply (zenon_L221_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ].
% 11.54/11.71 apply (zenon_L1091_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 11.54/11.71 apply (zenon_L1097_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ].
% 11.54/11.71 apply (zenon_L1076_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ].
% 11.54/11.71 apply (zenon_L61_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ].
% 11.54/11.71 apply (zenon_L1097_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ].
% 11.54/11.71 apply (zenon_L199_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ].
% 11.54/11.71 exact (zenon_H54 zenon_H56).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H1e | zenon_intro zenon_H25a ].
% 11.54/11.71 exact (zenon_H271 zenon_H1e).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H1f | zenon_intro zenon_H25b ].
% 11.54/11.71 apply (zenon_L330_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H2c | zenon_intro zenon_H39 ].
% 11.54/11.71 apply (zenon_L64_); trivial.
% 11.54/11.71 apply (zenon_L714_); trivial.
% 11.54/11.71 apply (zenon_L157_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ].
% 11.54/11.71 apply (zenon_L714_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ].
% 11.54/11.71 apply (zenon_L1085_); trivial.
% 11.54/11.71 apply (zenon_L14_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ].
% 11.54/11.71 apply (zenon_L200_); trivial.
% 11.54/11.71 apply (zenon_L1074_); trivial.
% 11.54/11.71 apply (zenon_L1072_); trivial.
% 11.54/11.71 (* end of lemma zenon_L1098_ *)
% 11.54/11.71 assert (zenon_L1099_ : ((~((op (e3) (e3)) = (e1)))\/(~((op (e3) (e1)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((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 (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (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 (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((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 (e2) (e2)) = (e2))/\(((~((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 (e3) (e3)) = (e3))/\(((~((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)))))))))) -> False).
% 11.54/11.71 do 0 intro. intros zenon_H273 zenon_H122 zenon_Hf0 zenon_He5 zenon_H15d zenon_H16a zenon_H1df zenon_H147 zenon_H34 zenon_H1e2 zenon_H54 zenon_H18f zenon_H1b8 zenon_H15a zenon_H1ca zenon_H71 zenon_H259 zenon_Hcb zenon_H105 zenon_Hc4 zenon_Hb7 zenon_H167 zenon_H16e zenon_H1cb zenon_H12d zenon_H271 zenon_H20 zenon_H106 zenon_Hb0 zenon_Had zenon_Hc8 zenon_H30 zenon_H44 zenon_H197 zenon_H192 zenon_H27 zenon_H41 zenon_H13a zenon_H1f0 zenon_H228 zenon_H125 zenon_H5c zenon_H13f zenon_H245 zenon_H3c zenon_He3 zenon_H101 zenon_Hb9 zenon_H222 zenon_H49 zenon_H65 zenon_H92 zenon_H61 zenon_H1d8 zenon_H1f3 zenon_H8d zenon_H4c zenon_H1b0.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H274 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ].
% 11.54/11.71 apply (zenon_L1071_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ].
% 11.54/11.71 apply (zenon_L19_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ].
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H139. zenon_intro zenon_H138.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ].
% 11.54/11.71 apply (zenon_L1090_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ].
% 11.54/11.71 exact (zenon_H271 zenon_H1e).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ].
% 11.54/11.71 apply (zenon_L1098_); trivial.
% 11.54/11.71 apply (zenon_L1077_); trivial.
% 11.54/11.71 apply (zenon_L279_); trivial.
% 11.54/11.71 apply (zenon_L1087_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ].
% 11.54/11.71 apply (zenon_L1098_); trivial.
% 11.54/11.71 apply (zenon_L279_); trivial.
% 11.54/11.71 apply (zenon_L1087_); trivial.
% 11.54/11.71 apply (zenon_L370_); trivial.
% 11.54/11.71 exact (zenon_H274 zenon_H147).
% 11.54/11.71 (* end of lemma zenon_L1099_ *)
% 11.54/11.71 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H276. zenon_intro zenon_H275.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H259. zenon_intro zenon_H277.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H279. zenon_intro zenon_H278.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H255. zenon_intro zenon_H27a.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H26d. zenon_intro zenon_H27b.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H15a. zenon_intro zenon_H27c.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H245. zenon_intro zenon_H27d.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H154. zenon_intro zenon_H27e.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_H242. zenon_intro zenon_H27f.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H263. zenon_intro zenon_H280.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H19c. zenon_intro zenon_H281.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H194. zenon_intro zenon_H282.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H1df. zenon_intro zenon_H283.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H223. zenon_intro zenon_H284.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1db. zenon_intro zenon_Hf0.
% 11.54/11.71 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H18f. zenon_intro zenon_H285.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H12d. zenon_intro zenon_H286.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H4c. zenon_intro zenon_H287.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Hb7. zenon_intro zenon_H288.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H49. zenon_intro zenon_H289.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hb8. zenon_intro zenon_H28a.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H44. zenon_intro zenon_H28b.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H161. zenon_intro zenon_H28c.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H113. zenon_intro zenon_H28d.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H203. zenon_intro zenon_H28e.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H92. zenon_intro zenon_H28f.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H105. zenon_intro zenon_H290.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H69. zenon_intro zenon_H291.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H106. zenon_intro zenon_H292.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H8d. zenon_intro zenon_H293.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H148. zenon_intro zenon_H294.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_Hfa. zenon_intro zenon_H295.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_Hfb. zenon_intro zenon_H296.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H11b. zenon_intro zenon_H297.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H22e. zenon_intro zenon_H298.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H1a2. zenon_intro zenon_H299.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H19f. zenon_intro zenon_H29a.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_H167. zenon_intro zenon_H29b.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_Hf3. zenon_intro zenon_H29c.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H122. zenon_intro zenon_H29d.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_Hb9. zenon_intro zenon_H29e.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H1f0. zenon_intro zenon_H29f.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H1d5. zenon_intro zenon_H2a0.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_Hb0. zenon_intro zenon_H2a1.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H197. zenon_intro zenon_H2a2.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H251. zenon_intro zenon_H236.
% 11.54/11.71 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H187. zenon_intro zenon_H2a3.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H1aa. zenon_intro zenon_H2a4.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H1e2. zenon_intro zenon_H2a5.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H16c. zenon_intro zenon_H2a6.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H212. zenon_intro zenon_H2a7.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H226. zenon_intro zenon_H2a8.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H10b. zenon_intro zenon_H2a9.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_Hcb. zenon_intro zenon_H2aa.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H222. zenon_intro zenon_H2ab.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H157. zenon_intro zenon_H2ac.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H1f3. zenon_intro zenon_H2ad.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H1cb. zenon_intro zenon_H2ae.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H13f. zenon_intro zenon_H2af.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H65. zenon_intro zenon_H2b0.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H101. zenon_intro zenon_H2b1.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H5c. zenon_intro zenon_H2b2.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H125. zenon_intro zenon_H2b3.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Had. zenon_intro zenon_H2b4.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H61. zenon_intro zenon_H2b5.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H16e. zenon_intro zenon_H2b6.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H13a. zenon_intro zenon_H2b7.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H117. zenon_intro zenon_H2b8.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H141. zenon_intro zenon_H2b9.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_He3. zenon_intro zenon_H2ba.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H1b8. zenon_intro zenon_H2bd.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2bf. zenon_intro zenon_H2be.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H130. zenon_intro zenon_H2c0.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H71. zenon_intro zenon_H2c1.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H210. zenon_intro zenon_H2c2.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H1ca. zenon_intro zenon_H2c3.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H10e. zenon_intro zenon_H2c4.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H23c. zenon_intro zenon_H2c5.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H216. zenon_intro zenon_H2c6.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H14f. zenon_intro zenon_H2c7.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H228. zenon_intro zenon_H2c8.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2c8). zenon_intro zenon_Hc4. zenon_intro zenon_H2c9.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_Hc0. zenon_intro zenon_H2ca.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H95. zenon_intro zenon_H2cb.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_Hc8. zenon_intro zenon_H2cc.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H18b. zenon_intro zenon_H2cd.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H192. zenon_intro zenon_H2ce.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H16a. zenon_intro zenon_H2cf.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_Hf6. zenon_intro zenon_H2d0.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H15d. zenon_intro zenon_H2d1.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H1d8. zenon_intro zenon_H2d2.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_He5. zenon_intro zenon_Heb.
% 11.54/11.71 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H20. zenon_intro zenon_H2d3.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H27. zenon_intro zenon_H2d4.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H34. zenon_intro zenon_H2d5.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H30. zenon_intro zenon_H2d6.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H3c. zenon_intro zenon_H41.
% 11.54/11.71 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H2d7. zenon_intro zenon_H1b0.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2d8 ].
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H25. zenon_intro zenon_H2da.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H2dc. zenon_intro zenon_H2db.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H234 | zenon_intro zenon_H234 ].
% 11.54/11.71 exact (zenon_H234 zenon_H25).
% 11.54/11.71 exact (zenon_H234 zenon_H25).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ].
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H1e. zenon_intro zenon_H2df.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H2e1. zenon_intro zenon_H2e0.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H1af. zenon_intro zenon_H273.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4d | zenon_intro zenon_H271 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H54 | zenon_intro zenon_H54 ].
% 11.54/11.71 apply (zenon_L220_); trivial.
% 11.54/11.71 apply (zenon_L220_); trivial.
% 11.54/11.71 exact (zenon_H271 zenon_H1e).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H2e5 | zenon_intro zenon_H2e4 ].
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hd0. zenon_intro zenon_H2e6.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e8. zenon_intro zenon_H2e7.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H22b. zenon_intro zenon_H2e9.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H202. zenon_intro zenon_H200.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2b | zenon_intro zenon_H260 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H68 | zenon_intro zenon_H22c ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c1 ].
% 11.54/11.71 apply (zenon_L425_); trivial.
% 11.54/11.71 apply (zenon_L425_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c1 ].
% 11.54/11.71 apply (zenon_L450_); trivial.
% 11.54/11.71 apply (zenon_L450_); trivial.
% 11.54/11.71 exact (zenon_H260 zenon_Hd0).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2eb | zenon_intro zenon_H2ea ].
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H72. zenon_intro zenon_H2ec.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H2ee. zenon_intro zenon_H2ed.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H2f0. zenon_intro zenon_H2ef.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H2f1. zenon_intro zenon_H26c.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H38 | zenon_intro zenon_H26b ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H233 | zenon_intro zenon_H233 ].
% 11.54/11.71 apply (zenon_L457_); trivial.
% 11.54/11.71 apply (zenon_L457_); trivial.
% 11.54/11.71 exact (zenon_H26b zenon_H72).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H2f2 ].
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H6d. zenon_intro zenon_H2da.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H2dc. zenon_intro zenon_H2db.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H25c. zenon_intro zenon_H2f4.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H234 | zenon_intro zenon_H234 ].
% 11.54/11.71 apply (zenon_L602_); trivial.
% 11.54/11.71 apply (zenon_L602_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H2f5 ].
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H56. zenon_intro zenon_H2df.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H2e1. zenon_intro zenon_H2e0.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H54 | zenon_intro zenon_H54 ].
% 11.54/11.71 exact (zenon_H54 zenon_H56).
% 11.54/11.71 exact (zenon_H54 zenon_H56).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H2f7 ].
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H88. zenon_intro zenon_H2e6.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e8. zenon_intro zenon_H2e7.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H22b. zenon_intro zenon_H2e9.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H202. zenon_intro zenon_H200.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2b | zenon_intro zenon_H260 ].
% 11.54/11.71 apply (zenon_L414_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H68 | zenon_intro zenon_H22c ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c1 ].
% 11.54/11.71 apply (zenon_L633_); trivial.
% 11.54/11.71 apply (zenon_L633_); trivial.
% 11.54/11.71 exact (zenon_H22c zenon_H88).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H2fa | zenon_intro zenon_H2f9 ].
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H90. zenon_intro zenon_H2ec.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H2ee. zenon_intro zenon_H2ed.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H2f0. zenon_intro zenon_H2ef.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H2f1. zenon_intro zenon_H26c.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H38 | zenon_intro zenon_H26b ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H79 | zenon_intro zenon_H91 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_He2 | zenon_intro zenon_H26a ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H233 | zenon_intro zenon_H233 ].
% 11.54/11.71 apply (zenon_L830_); trivial.
% 11.54/11.71 apply (zenon_L830_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H233 | zenon_intro zenon_H233 ].
% 11.54/11.71 apply (zenon_L850_); trivial.
% 11.54/11.71 apply (zenon_L850_); trivial.
% 11.54/11.71 exact (zenon_H91 zenon_H90).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H79 | zenon_intro zenon_H91 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_He2 | zenon_intro zenon_H26a ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H233 | zenon_intro zenon_H233 ].
% 11.54/11.71 apply (zenon_L885_); trivial.
% 11.54/11.71 apply (zenon_L885_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H233 | zenon_intro zenon_H233 ].
% 11.54/11.71 apply (zenon_L930_); trivial.
% 11.54/11.71 apply (zenon_L930_); trivial.
% 11.54/11.71 exact (zenon_H91 zenon_H90).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H2fc | zenon_intro zenon_H2fb ].
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_Hb5. zenon_intro zenon_H2da.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H2dc. zenon_intro zenon_H2db.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H25c. zenon_intro zenon_H2f4.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H234 | zenon_intro zenon_H234 ].
% 11.54/11.71 apply (zenon_L972_); trivial.
% 11.54/11.71 apply (zenon_L972_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2fb); [ zenon_intro zenon_H2fe | zenon_intro zenon_H2fd ].
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_Hc7. zenon_intro zenon_H2df.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H2e1. zenon_intro zenon_H2e0.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H1af. zenon_intro zenon_H273.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4d | zenon_intro zenon_H271 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H54 | zenon_intro zenon_H54 ].
% 11.54/11.71 apply (zenon_L979_); trivial.
% 11.54/11.71 apply (zenon_L979_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H54 | zenon_intro zenon_H54 ].
% 11.54/11.71 apply (zenon_L980_); trivial.
% 11.54/11.71 apply (zenon_L980_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H300 | zenon_intro zenon_H2ff ].
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H5a. zenon_intro zenon_H2e6.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e8. zenon_intro zenon_H2e7.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H22b. zenon_intro zenon_H2e9.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H202. zenon_intro zenon_H200.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c1 ].
% 11.54/11.71 exact (zenon_H1c1 zenon_H5a).
% 11.54/11.71 exact (zenon_H1c1 zenon_H5a).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H302 | zenon_intro zenon_H301 ].
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H18a. zenon_intro zenon_H2ec.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H2ee. zenon_intro zenon_H2ed.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H2f0. zenon_intro zenon_H2ef.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H2f1. zenon_intro zenon_H26c.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H38 | zenon_intro zenon_H26b ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H79 | zenon_intro zenon_H91 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_He2 | zenon_intro zenon_H26a ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H233 | zenon_intro zenon_H233 ].
% 11.54/11.71 apply (zenon_L730_); trivial.
% 11.54/11.71 apply (zenon_L730_); trivial.
% 11.54/11.71 exact (zenon_H26a zenon_H18a).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_He2 | zenon_intro zenon_H26a ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H233 | zenon_intro zenon_H233 ].
% 11.54/11.71 apply (zenon_L991_); trivial.
% 11.54/11.71 apply (zenon_L991_); trivial.
% 11.54/11.71 exact (zenon_H26a zenon_H18a).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H79 | zenon_intro zenon_H91 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_He2 | zenon_intro zenon_H26a ].
% 11.54/11.71 apply (zenon_L858_); trivial.
% 11.54/11.71 exact (zenon_H26a zenon_H18a).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_He2 | zenon_intro zenon_H26a ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H233 | zenon_intro zenon_H233 ].
% 11.54/11.71 apply (zenon_L1068_); trivial.
% 11.54/11.71 apply (zenon_L1068_); trivial.
% 11.54/11.71 exact (zenon_H26a zenon_H18a).
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H304 | zenon_intro zenon_H303 ].
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H15e. zenon_intro zenon_H2da.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H2dc. zenon_intro zenon_H2db.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H25c. zenon_intro zenon_H2f4.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H234 | zenon_intro zenon_H234 ].
% 11.54/11.71 apply (zenon_L1069_); trivial.
% 11.54/11.71 apply (zenon_L1069_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H306 | zenon_intro zenon_H305 ].
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H147. zenon_intro zenon_H2df.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H2e1. zenon_intro zenon_H2e0.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H1af. zenon_intro zenon_H273.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4d | zenon_intro zenon_H271 ].
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H54 | zenon_intro zenon_H54 ].
% 11.54/11.71 apply (zenon_L1095_); trivial.
% 11.54/11.71 apply (zenon_L1095_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H54 | zenon_intro zenon_H54 ].
% 11.54/11.71 apply (zenon_L1099_); trivial.
% 11.54/11.71 apply (zenon_L1099_); trivial.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H308 | zenon_intro zenon_H307 ].
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_Hec. zenon_intro zenon_H2e6.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e8. zenon_intro zenon_H2e7.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H22b. zenon_intro zenon_H2e9.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H202. zenon_intro zenon_H200.
% 11.54/11.71 apply (zenon_L282_); trivial.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_Hed. zenon_intro zenon_H2ec.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H2ee. zenon_intro zenon_H2ed.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H2f0. zenon_intro zenon_H2ef.
% 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H2f1. zenon_intro zenon_H26c.
% 11.54/11.71 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H233 | zenon_intro zenon_H233 ].
% 11.54/11.71 exact (zenon_H233 zenon_Hed).
% 11.54/11.71 exact (zenon_H233 zenon_Hed).
% 11.54/11.71 Qed.
% 11.54/11.71 % SZS output end Proof
% 11.54/11.71 (* END-PROOF *)
% 11.54/11.71 nodes searched: 217344
% 11.54/11.71 max branch formulas: 291
% 11.54/11.71 proof nodes created: 12803
% 11.54/11.71 formulas created: 63945
% 11.54/11.71
%------------------------------------------------------------------------------