TSTP Solution File: ALG162+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : ALG162+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n021.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 18:30:49 EDT 2022
% Result : Unsatisfiable 7.87s 8.04s
% Output : Proof 8.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG162+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 14:01:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.87/8.04 (* PROOF-FOUND *)
% 7.87/8.04 % SZS status Unsatisfiable
% 7.87/8.04 (* BEGIN-PROOF *)
% 7.87/8.04 % SZS output start Proof
% 7.87/8.04 Theorem zenon_thm : False.
% 7.87/8.04 Proof.
% 7.87/8.04 assert (zenon_L1_ : (~((e0) = (e0))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H1d.
% 7.87/8.04 apply zenon_H1d. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L1_ *)
% 7.87/8.04 assert (zenon_L2_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e2))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H1e zenon_H1f zenon_H20.
% 7.87/8.04 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ].
% 7.87/8.04 cut (((e2) = (e2)) = ((e0) = (e2))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H20.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H21.
% 7.87/8.04 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.87/8.04 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 7.87/8.04 congruence.
% 7.87/8.04 cut (((op (e0) (e0)) = (e0)) = ((e2) = (e0))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H23.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H1e.
% 7.87/8.04 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.87/8.04 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H24].
% 7.87/8.04 congruence.
% 7.87/8.04 exact (zenon_H24 zenon_H1f).
% 7.87/8.04 apply zenon_H1d. apply refl_equal.
% 7.87/8.04 apply zenon_H22. apply refl_equal.
% 7.87/8.04 apply zenon_H22. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L2_ *)
% 7.87/8.04 assert (zenon_L3_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e2))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H25 zenon_H26 zenon_H20.
% 7.87/8.04 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ].
% 7.87/8.04 cut (((e2) = (e2)) = ((e0) = (e2))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H20.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H21.
% 7.87/8.04 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.87/8.04 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 7.87/8.04 congruence.
% 7.87/8.04 cut (((op (e0) (e1)) = (e0)) = ((e2) = (e0))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H23.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H25.
% 7.87/8.04 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.87/8.04 cut (((op (e0) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 7.87/8.04 congruence.
% 7.87/8.04 exact (zenon_H27 zenon_H26).
% 7.87/8.04 apply zenon_H1d. apply refl_equal.
% 7.87/8.04 apply zenon_H22. apply refl_equal.
% 7.87/8.04 apply zenon_H22. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L3_ *)
% 7.87/8.04 assert (zenon_L4_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H28 zenon_H1e zenon_H29.
% 7.87/8.04 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e1) (e0)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H28.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H1e.
% 7.87/8.04 cut (((e0) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 7.87/8.04 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 7.87/8.04 congruence.
% 7.87/8.04 apply zenon_H2b. apply refl_equal.
% 7.87/8.04 apply zenon_H2a. apply sym_equal. exact zenon_H29.
% 7.87/8.04 (* end of lemma zenon_L4_ *)
% 7.87/8.04 assert (zenon_L5_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H2c zenon_H25 zenon_H2d.
% 7.87/8.04 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e1) (e1)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H2c.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H25.
% 7.87/8.04 cut (((e0) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2e].
% 7.87/8.04 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 7.87/8.04 congruence.
% 7.87/8.04 apply zenon_H2f. apply refl_equal.
% 7.87/8.04 apply zenon_H2e. apply sym_equal. exact zenon_H2d.
% 7.87/8.04 (* end of lemma zenon_L5_ *)
% 7.87/8.04 assert (zenon_L6_ : (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H30 zenon_H1e zenon_H31.
% 7.87/8.04 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e2) (e0)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H30.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H1e.
% 7.87/8.04 cut (((e0) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 7.87/8.04 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 7.87/8.04 congruence.
% 7.87/8.04 apply zenon_H2b. apply refl_equal.
% 7.87/8.04 apply zenon_H32. apply sym_equal. exact zenon_H31.
% 7.87/8.04 (* end of lemma zenon_L6_ *)
% 7.87/8.04 assert (zenon_L7_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e2) (e1)) = (e0)) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H33 zenon_H25 zenon_H34.
% 7.87/8.04 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e2) (e1)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H33.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H25.
% 7.87/8.04 cut (((e0) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H35].
% 7.87/8.04 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 7.87/8.04 congruence.
% 7.87/8.04 apply zenon_H2f. apply refl_equal.
% 7.87/8.04 apply zenon_H35. apply sym_equal. exact zenon_H34.
% 7.87/8.04 (* end of lemma zenon_L7_ *)
% 7.87/8.04 assert (zenon_L8_ : ((op (e2) (e2)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H36 zenon_H37 zenon_H38.
% 7.87/8.04 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 7.87/8.04 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e1) (e2)) = (op (e2) (e2)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H38.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H39.
% 7.87/8.04 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 7.87/8.04 cut (((op (e2) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3b].
% 7.87/8.04 congruence.
% 7.87/8.04 cut (((op (e2) (e2)) = (e0)) = ((op (e2) (e2)) = (op (e1) (e2)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H3b.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H36.
% 7.87/8.04 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 7.87/8.04 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 7.87/8.04 congruence.
% 7.87/8.04 apply zenon_H3a. apply refl_equal.
% 7.87/8.04 apply zenon_H3c. apply sym_equal. exact zenon_H37.
% 7.87/8.04 apply zenon_H3a. apply refl_equal.
% 7.87/8.04 apply zenon_H3a. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L8_ *)
% 7.87/8.04 assert (zenon_L9_ : (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e0)) = (e0)) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H3d zenon_H1e zenon_H3e.
% 7.87/8.04 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e3) (e0)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H3d.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H1e.
% 7.87/8.04 cut (((e0) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 7.87/8.04 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 7.87/8.04 congruence.
% 7.87/8.04 apply zenon_H2b. apply refl_equal.
% 7.87/8.04 apply zenon_H3f. apply sym_equal. exact zenon_H3e.
% 7.87/8.04 (* end of lemma zenon_L9_ *)
% 7.87/8.04 assert (zenon_L10_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H40 zenon_H25 zenon_H41.
% 7.87/8.04 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e3) (e1)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H40.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H25.
% 7.87/8.04 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H42].
% 7.87/8.04 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 7.87/8.04 congruence.
% 7.87/8.04 apply zenon_H2f. apply refl_equal.
% 7.87/8.04 apply zenon_H42. apply sym_equal. exact zenon_H41.
% 7.87/8.04 (* end of lemma zenon_L10_ *)
% 7.87/8.04 assert (zenon_L11_ : (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H43 zenon_H37 zenon_H44.
% 7.87/8.04 cut (((op (e1) (e2)) = (e0)) = ((op (e1) (e2)) = (op (e3) (e2)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H43.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H37.
% 7.87/8.04 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 7.87/8.04 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 7.87/8.04 congruence.
% 7.87/8.04 apply zenon_H46. apply refl_equal.
% 7.87/8.04 apply zenon_H45. apply sym_equal. exact zenon_H44.
% 7.87/8.04 (* end of lemma zenon_L11_ *)
% 7.87/8.04 assert (zenon_L12_ : ((op (e3) (e3)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H47 zenon_H48 zenon_H49.
% 7.87/8.04 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H4a | zenon_intro zenon_H4b ].
% 7.87/8.04 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e2) (e3)) = (op (e3) (e3)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H49.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H4a.
% 7.87/8.04 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.87/8.04 cut (((op (e3) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4c].
% 7.87/8.04 congruence.
% 7.87/8.04 cut (((op (e3) (e3)) = (e0)) = ((op (e3) (e3)) = (op (e2) (e3)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H4c.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H47.
% 7.87/8.04 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4d].
% 7.87/8.04 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.87/8.04 congruence.
% 7.87/8.04 apply zenon_H4b. apply refl_equal.
% 7.87/8.04 apply zenon_H4d. apply sym_equal. exact zenon_H48.
% 7.87/8.04 apply zenon_H4b. apply refl_equal.
% 7.87/8.04 apply zenon_H4b. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L12_ *)
% 7.87/8.04 assert (zenon_L13_ : (((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 (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H4e zenon_H1e zenon_H3d zenon_H25 zenon_H40 zenon_H37 zenon_H43 zenon_H48 zenon_H49.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.87/8.04 apply (zenon_L9_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.87/8.04 apply (zenon_L10_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.87/8.04 apply (zenon_L11_); trivial.
% 7.87/8.04 apply (zenon_L12_); trivial.
% 7.87/8.04 (* end of lemma zenon_L13_ *)
% 7.87/8.04 assert (zenon_L14_ : (((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 (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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 (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H51 zenon_H30 zenon_H33 zenon_H38 zenon_H4e zenon_H1e zenon_H3d zenon_H25 zenon_H40 zenon_H37 zenon_H43 zenon_H49.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.87/8.04 apply (zenon_L6_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.87/8.04 apply (zenon_L7_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 7.87/8.04 apply (zenon_L8_); trivial.
% 7.87/8.04 apply (zenon_L13_); trivial.
% 7.87/8.04 (* end of lemma zenon_L14_ *)
% 7.87/8.04 assert (zenon_L15_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e1))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H31 zenon_H54 zenon_H55.
% 7.87/8.04 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H56 | zenon_intro zenon_H57 ].
% 7.87/8.04 cut (((e1) = (e1)) = ((e0) = (e1))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H55.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H56.
% 7.87/8.04 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.87/8.04 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 7.87/8.04 congruence.
% 7.87/8.04 cut (((op (e2) (e0)) = (e0)) = ((e1) = (e0))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H58.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H31.
% 7.87/8.04 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.87/8.04 cut (((op (e2) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H59].
% 7.87/8.04 congruence.
% 7.87/8.04 exact (zenon_H59 zenon_H54).
% 7.87/8.04 apply zenon_H1d. apply refl_equal.
% 7.87/8.04 apply zenon_H57. apply refl_equal.
% 7.87/8.04 apply zenon_H57. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L15_ *)
% 7.87/8.04 assert (zenon_L16_ : (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H5a zenon_H36 zenon_H44.
% 7.87/8.04 cut (((op (e2) (e2)) = (e0)) = ((op (e2) (e2)) = (op (e3) (e2)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H5a.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H36.
% 7.87/8.04 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 7.87/8.04 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 7.87/8.04 congruence.
% 7.87/8.04 apply zenon_H3a. apply refl_equal.
% 7.87/8.04 apply zenon_H45. apply sym_equal. exact zenon_H44.
% 7.87/8.04 (* end of lemma zenon_L16_ *)
% 7.87/8.04 assert (zenon_L17_ : ((op (e1) (e0)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((e0) = (e2))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H29 zenon_H5b zenon_H20.
% 7.87/8.04 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ].
% 7.87/8.04 cut (((e2) = (e2)) = ((e0) = (e2))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H20.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H21.
% 7.87/8.04 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.87/8.04 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 7.87/8.04 congruence.
% 7.87/8.04 cut (((op (e1) (e0)) = (e0)) = ((e2) = (e0))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H23.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H29.
% 7.87/8.04 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.87/8.04 cut (((op (e1) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 7.87/8.04 congruence.
% 7.87/8.04 exact (zenon_H5c zenon_H5b).
% 7.87/8.04 apply zenon_H1d. apply refl_equal.
% 7.87/8.04 apply zenon_H22. apply refl_equal.
% 7.87/8.04 apply zenon_H22. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L17_ *)
% 7.87/8.04 assert (zenon_L18_ : ((op (e3) (e3)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H47 zenon_H5d zenon_H5e.
% 7.87/8.04 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H4a | zenon_intro zenon_H4b ].
% 7.87/8.04 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e1) (e3)) = (op (e3) (e3)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H5e.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H4a.
% 7.87/8.04 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.87/8.04 cut (((op (e3) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 7.87/8.04 congruence.
% 7.87/8.04 cut (((op (e3) (e3)) = (e0)) = ((op (e3) (e3)) = (op (e1) (e3)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H5f.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H47.
% 7.87/8.04 cut (((e0) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 7.87/8.04 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.87/8.04 congruence.
% 7.87/8.04 apply zenon_H4b. apply refl_equal.
% 7.87/8.04 apply zenon_H60. apply sym_equal. exact zenon_H5d.
% 7.87/8.04 apply zenon_H4b. apply refl_equal.
% 7.87/8.04 apply zenon_H4b. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L18_ *)
% 7.87/8.04 assert (zenon_L19_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H61 zenon_H20 zenon_H5b zenon_H25 zenon_H2c zenon_H38 zenon_H36 zenon_H47 zenon_H5e.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.87/8.04 apply (zenon_L17_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.87/8.04 apply (zenon_L5_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.87/8.04 apply (zenon_L8_); trivial.
% 7.87/8.04 apply (zenon_L18_); trivial.
% 7.87/8.04 (* end of lemma zenon_L19_ *)
% 7.87/8.04 assert (zenon_L20_ : (((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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H4e zenon_H1e zenon_H3d zenon_H40 zenon_H5a zenon_H61 zenon_H20 zenon_H5b zenon_H25 zenon_H2c zenon_H38 zenon_H36 zenon_H5e.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.87/8.04 apply (zenon_L9_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.87/8.04 apply (zenon_L10_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.87/8.04 apply (zenon_L16_); trivial.
% 7.87/8.04 apply (zenon_L19_); trivial.
% 7.87/8.04 (* end of lemma zenon_L20_ *)
% 7.87/8.04 assert (zenon_L21_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H64 zenon_H5d zenon_H48.
% 7.87/8.04 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (e3)) = (op (e2) (e3)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H64.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H5d.
% 7.87/8.04 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4d].
% 7.87/8.04 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H65].
% 7.87/8.04 congruence.
% 7.87/8.04 apply zenon_H65. apply refl_equal.
% 7.87/8.04 apply zenon_H4d. apply sym_equal. exact zenon_H48.
% 7.87/8.04 (* end of lemma zenon_L21_ *)
% 7.87/8.04 assert (zenon_L22_ : (((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)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((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))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H51 zenon_H55 zenon_H54 zenon_H33 zenon_H5e zenon_H38 zenon_H2c zenon_H25 zenon_H5b zenon_H20 zenon_H61 zenon_H5a zenon_H40 zenon_H3d zenon_H1e zenon_H4e zenon_H64 zenon_H5d.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.87/8.04 apply (zenon_L15_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.87/8.04 apply (zenon_L7_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 7.87/8.04 apply (zenon_L20_); trivial.
% 7.87/8.04 apply (zenon_L21_); trivial.
% 7.87/8.04 (* end of lemma zenon_L22_ *)
% 7.87/8.04 assert (zenon_L23_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((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)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((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))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H28 zenon_H49 zenon_H43 zenon_H30 zenon_H51 zenon_H55 zenon_H54 zenon_H33 zenon_H5e zenon_H38 zenon_H2c zenon_H25 zenon_H5b zenon_H20 zenon_H61 zenon_H5a zenon_H40 zenon_H3d zenon_H1e zenon_H4e zenon_H64.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.87/8.04 apply (zenon_L4_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.87/8.04 apply (zenon_L5_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.87/8.04 apply (zenon_L14_); trivial.
% 7.87/8.04 apply (zenon_L22_); trivial.
% 7.87/8.04 (* end of lemma zenon_L23_ *)
% 7.87/8.04 assert (zenon_L24_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((e0) = (e3))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H25 zenon_H66 zenon_H67.
% 7.87/8.04 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 7.87/8.04 cut (((e3) = (e3)) = ((e0) = (e3))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H67.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H68.
% 7.87/8.04 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.04 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 7.87/8.04 congruence.
% 7.87/8.04 cut (((op (e0) (e1)) = (e0)) = ((e3) = (e0))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H6a.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H25.
% 7.87/8.04 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.87/8.04 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 7.87/8.04 congruence.
% 7.87/8.04 exact (zenon_H6b zenon_H66).
% 7.87/8.04 apply zenon_H1d. apply refl_equal.
% 7.87/8.04 apply zenon_H69. apply refl_equal.
% 7.87/8.04 apply zenon_H69. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L24_ *)
% 7.87/8.04 assert (zenon_L25_ : (~((e3) = (e3))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H69.
% 7.87/8.04 apply zenon_H69. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L25_ *)
% 7.87/8.04 assert (zenon_L26_ : (~((e2) = (e3))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H6c zenon_H6d zenon_H6e.
% 7.87/8.04 cut (((op (e1) (e1)) = (e3)) = ((e2) = (e3))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H6c.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H6d.
% 7.87/8.04 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.04 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 7.87/8.04 congruence.
% 7.87/8.04 exact (zenon_H6f zenon_H6e).
% 7.87/8.04 apply zenon_H69. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L26_ *)
% 7.87/8.04 assert (zenon_L27_ : (~((e1) = (e1))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H57.
% 7.87/8.04 apply zenon_H57. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L27_ *)
% 7.87/8.04 assert (zenon_L28_ : ((op (e2) (e1)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (~((e3) = (op (op (e1) (e1)) (e1)))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H70 zenon_H6e zenon_H71.
% 7.87/8.04 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ].
% 7.87/8.04 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((e3) = (op (op (e1) (e1)) (e1)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H71.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H72.
% 7.87/8.04 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H73].
% 7.87/8.04 cut (((op (op (e1) (e1)) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H74].
% 7.87/8.04 congruence.
% 7.87/8.04 cut (((op (e2) (e1)) = (e3)) = ((op (op (e1) (e1)) (e1)) = (e3))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H74.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H70.
% 7.87/8.04 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.04 cut (((op (e2) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H75].
% 7.87/8.04 congruence.
% 7.87/8.04 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ].
% 7.87/8.04 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((op (e2) (e1)) = (op (op (e1) (e1)) (e1)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H75.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H72.
% 7.87/8.04 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H73].
% 7.87/8.04 cut (((op (op (e1) (e1)) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 7.87/8.04 congruence.
% 7.87/8.04 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.87/8.04 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 7.87/8.04 congruence.
% 7.87/8.04 exact (zenon_H6f zenon_H6e).
% 7.87/8.04 apply zenon_H57. apply refl_equal.
% 7.87/8.04 apply zenon_H73. apply refl_equal.
% 7.87/8.04 apply zenon_H73. apply refl_equal.
% 7.87/8.04 apply zenon_H69. apply refl_equal.
% 7.87/8.04 apply zenon_H73. apply refl_equal.
% 7.87/8.04 apply zenon_H73. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L28_ *)
% 7.87/8.04 assert (zenon_L29_ : ((op (e2) (e2)) = (e0)) -> ((op (e2) (e1)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H36 zenon_H70 zenon_H6e.
% 7.87/8.04 apply (zenon_notand_s _ _ ax6); [ zenon_intro zenon_H78 | zenon_intro zenon_H77 ].
% 7.87/8.04 elim (classic ((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 7.87/8.04 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1)))) = ((e0) = (op (op (e1) (e1)) (op (e1) (e1))))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H78.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H79.
% 7.87/8.04 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7a].
% 7.87/8.04 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7b].
% 7.87/8.04 congruence.
% 7.87/8.04 cut (((op (e2) (e2)) = (e0)) = ((op (op (e1) (e1)) (op (e1) (e1))) = (e0))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H7b.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H36.
% 7.87/8.04 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.87/8.04 cut (((op (e2) (e2)) = (op (op (e1) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7c].
% 7.87/8.04 congruence.
% 7.87/8.04 elim (classic ((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 7.87/8.04 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1)))) = ((op (e2) (e2)) = (op (op (e1) (e1)) (op (e1) (e1))))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H7c.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H79.
% 7.87/8.04 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7a].
% 7.87/8.04 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H7d].
% 7.87/8.04 congruence.
% 7.87/8.04 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 7.87/8.04 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 7.87/8.04 congruence.
% 7.87/8.04 exact (zenon_H6f zenon_H6e).
% 7.87/8.04 exact (zenon_H6f zenon_H6e).
% 7.87/8.04 apply zenon_H7a. apply refl_equal.
% 7.87/8.04 apply zenon_H7a. apply refl_equal.
% 7.87/8.04 apply zenon_H1d. apply refl_equal.
% 7.87/8.04 apply zenon_H7a. apply refl_equal.
% 7.87/8.04 apply zenon_H7a. apply refl_equal.
% 7.87/8.04 apply (zenon_notand_s _ _ zenon_H77); [ zenon_intro zenon_H7e | zenon_intro zenon_H71 ].
% 7.87/8.04 apply zenon_H7e. apply sym_equal. exact zenon_H6e.
% 7.87/8.04 apply (zenon_L28_); trivial.
% 7.87/8.04 (* end of lemma zenon_L29_ *)
% 7.87/8.04 assert (zenon_L30_ : (((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 (e1) (e1)) = (e2)) -> ((op (e2) (e1)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H51 zenon_H55 zenon_H54 zenon_H25 zenon_H33 zenon_H6e zenon_H70 zenon_H64 zenon_H5d.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.87/8.04 apply (zenon_L15_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.87/8.04 apply (zenon_L7_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 7.87/8.04 apply (zenon_L29_); trivial.
% 7.87/8.04 apply (zenon_L21_); trivial.
% 7.87/8.04 (* end of lemma zenon_L30_ *)
% 7.87/8.04 assert (zenon_L31_ : (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e1)) = (e0)) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H67 zenon_H7f zenon_H41.
% 7.87/8.04 cut (((op (e3) (e1)) = (e3)) = ((e0) = (e3))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H67.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H7f.
% 7.87/8.04 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.04 cut (((op (e3) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H80].
% 7.87/8.04 congruence.
% 7.87/8.04 exact (zenon_H80 zenon_H41).
% 7.87/8.04 apply zenon_H69. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L31_ *)
% 7.87/8.04 assert (zenon_L32_ : (((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 (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H61 zenon_H1e zenon_H28 zenon_H25 zenon_H2c zenon_H38 zenon_H36 zenon_H47 zenon_H5e.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.87/8.04 apply (zenon_L4_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.87/8.04 apply (zenon_L5_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.87/8.04 apply (zenon_L8_); trivial.
% 7.87/8.04 apply (zenon_L18_); trivial.
% 7.87/8.04 (* end of lemma zenon_L32_ *)
% 7.87/8.04 assert (zenon_L33_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (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 (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H4e zenon_H3d zenon_H7f zenon_H67 zenon_H5a zenon_H61 zenon_H1e zenon_H28 zenon_H25 zenon_H2c zenon_H38 zenon_H36 zenon_H5e.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.87/8.04 apply (zenon_L9_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.87/8.04 apply (zenon_L31_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.87/8.04 apply (zenon_L16_); trivial.
% 7.87/8.04 apply (zenon_L32_); trivial.
% 7.87/8.04 (* end of lemma zenon_L33_ *)
% 7.87/8.04 assert (zenon_L34_ : (((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 (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (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) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (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) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H51 zenon_H30 zenon_H33 zenon_H5e zenon_H38 zenon_H2c zenon_H25 zenon_H28 zenon_H1e zenon_H61 zenon_H5a zenon_H67 zenon_H7f zenon_H3d zenon_H4e zenon_H64 zenon_H5d.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.87/8.04 apply (zenon_L6_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.87/8.04 apply (zenon_L7_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 7.87/8.04 apply (zenon_L33_); trivial.
% 7.87/8.04 apply (zenon_L21_); trivial.
% 7.87/8.04 (* end of lemma zenon_L34_ *)
% 7.87/8.04 assert (zenon_L35_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H81 zenon_H82 zenon_H83.
% 7.87/8.04 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e1) (e2)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H81.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H82.
% 7.87/8.04 cut (((e2) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 7.87/8.04 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 7.87/8.04 congruence.
% 7.87/8.04 apply zenon_H85. apply refl_equal.
% 7.87/8.04 apply zenon_H84. apply sym_equal. exact zenon_H83.
% 7.87/8.04 (* end of lemma zenon_L35_ *)
% 7.87/8.04 assert (zenon_L36_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e0)) = (e3)) -> (~((e0) = (e3))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H1e zenon_H86 zenon_H67.
% 7.87/8.04 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 7.87/8.04 cut (((e3) = (e3)) = ((e0) = (e3))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H67.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H68.
% 7.87/8.04 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.04 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 7.87/8.04 congruence.
% 7.87/8.04 cut (((op (e0) (e0)) = (e0)) = ((e3) = (e0))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H6a.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H1e.
% 7.87/8.04 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.87/8.04 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 7.87/8.04 congruence.
% 7.87/8.04 exact (zenon_H87 zenon_H86).
% 7.87/8.04 apply zenon_H1d. apply refl_equal.
% 7.87/8.04 apply zenon_H69. apply refl_equal.
% 7.87/8.04 apply zenon_H69. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L36_ *)
% 7.87/8.04 assert (zenon_L37_ : ((op (e1) (e1)) = (e3)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H6d zenon_H88 zenon_H89.
% 7.87/8.04 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_H8a | zenon_intro zenon_H8b ].
% 7.87/8.04 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (e1) (e0)) = (op (e1) (e1)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H89.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H8a.
% 7.87/8.04 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 7.87/8.04 cut (((op (e1) (e1)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H8c].
% 7.87/8.04 congruence.
% 7.87/8.04 cut (((op (e1) (e1)) = (e3)) = ((op (e1) (e1)) = (op (e1) (e0)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H8c.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H6d.
% 7.87/8.04 cut (((e3) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H8d].
% 7.87/8.04 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 7.87/8.04 congruence.
% 7.87/8.04 apply zenon_H8b. apply refl_equal.
% 7.87/8.04 apply zenon_H8d. apply sym_equal. exact zenon_H88.
% 7.87/8.04 apply zenon_H8b. apply refl_equal.
% 7.87/8.04 apply zenon_H8b. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L37_ *)
% 7.87/8.04 assert (zenon_L38_ : ((op (e2) (e0)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (e3))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H54 zenon_H8e zenon_H8f.
% 7.87/8.04 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 7.87/8.04 cut (((e3) = (e3)) = ((e1) = (e3))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H8f.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H68.
% 7.87/8.04 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.04 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 7.87/8.04 congruence.
% 7.87/8.04 cut (((op (e2) (e0)) = (e1)) = ((e3) = (e1))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H90.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H54.
% 7.87/8.04 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.87/8.04 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H91].
% 7.87/8.04 congruence.
% 7.87/8.04 exact (zenon_H91 zenon_H8e).
% 7.87/8.04 apply zenon_H57. apply refl_equal.
% 7.87/8.04 apply zenon_H69. apply refl_equal.
% 7.87/8.04 apply zenon_H69. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L38_ *)
% 7.87/8.04 assert (zenon_L39_ : (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e0)) = (e2)) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H6c zenon_H92 zenon_H93.
% 7.87/8.04 cut (((op (e3) (e0)) = (e3)) = ((e2) = (e3))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H6c.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H92.
% 7.87/8.04 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.04 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H94].
% 7.87/8.04 congruence.
% 7.87/8.04 exact (zenon_H94 zenon_H93).
% 7.87/8.04 apply zenon_H69. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L39_ *)
% 7.87/8.04 assert (zenon_L40_ : (((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)) = (e3)) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H95 zenon_H67 zenon_H1e zenon_H89 zenon_H6d zenon_H8f zenon_H54 zenon_H6c zenon_H93.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.87/8.04 apply (zenon_L36_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.87/8.04 apply (zenon_L37_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.87/8.04 apply (zenon_L38_); trivial.
% 7.87/8.04 apply (zenon_L39_); trivial.
% 7.87/8.04 (* end of lemma zenon_L40_ *)
% 7.87/8.04 assert (zenon_L41_ : ((op (e2) (e0)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H54 zenon_H98 zenon_H99.
% 7.87/8.04 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ].
% 7.87/8.04 cut (((e2) = (e2)) = ((e1) = (e2))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H99.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H21.
% 7.87/8.04 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.87/8.04 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 7.87/8.04 congruence.
% 7.87/8.04 cut (((op (e2) (e0)) = (e1)) = ((e2) = (e1))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H9a.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H54.
% 7.87/8.04 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.87/8.04 cut (((op (e2) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 7.87/8.04 congruence.
% 7.87/8.04 exact (zenon_H9b zenon_H98).
% 7.87/8.04 apply zenon_H57. apply refl_equal.
% 7.87/8.04 apply zenon_H22. apply refl_equal.
% 7.87/8.04 apply zenon_H22. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L41_ *)
% 7.87/8.04 assert (zenon_L42_ : (~((e2) = (e2))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H22.
% 7.87/8.04 apply zenon_H22. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L42_ *)
% 7.87/8.04 assert (zenon_L43_ : ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e3)) -> (~((e2) = (e3))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H9c zenon_H70 zenon_H6c.
% 7.87/8.04 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 7.87/8.04 cut (((e3) = (e3)) = ((e2) = (e3))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H6c.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H68.
% 7.87/8.04 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.04 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9d].
% 7.87/8.04 congruence.
% 7.87/8.04 cut (((op (e2) (e1)) = (e2)) = ((e3) = (e2))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H9d.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H9c.
% 7.87/8.04 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.87/8.04 cut (((op (e2) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H9e].
% 7.87/8.04 congruence.
% 7.87/8.04 exact (zenon_H9e zenon_H70).
% 7.87/8.04 apply zenon_H22. apply refl_equal.
% 7.87/8.04 apply zenon_H69. apply refl_equal.
% 7.87/8.04 apply zenon_H69. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L43_ *)
% 7.87/8.04 assert (zenon_L44_ : ((op (e2) (e2)) = (e0)) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H36 zenon_H9f zenon_H20.
% 7.87/8.04 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ].
% 7.87/8.04 cut (((e2) = (e2)) = ((e0) = (e2))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H20.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H21.
% 7.87/8.04 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.87/8.04 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 7.87/8.04 congruence.
% 7.87/8.04 cut (((op (e2) (e2)) = (e0)) = ((e2) = (e0))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H23.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H36.
% 7.87/8.04 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.87/8.04 cut (((op (e2) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Ha0].
% 7.87/8.04 congruence.
% 7.87/8.04 exact (zenon_Ha0 zenon_H9f).
% 7.87/8.04 apply zenon_H1d. apply refl_equal.
% 7.87/8.04 apply zenon_H22. apply refl_equal.
% 7.87/8.04 apply zenon_H22. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L44_ *)
% 7.87/8.04 assert (zenon_L45_ : ((op (e2) (e3)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_Ha1 zenon_Ha2 zenon_H64.
% 7.87/8.04 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha4 ].
% 7.87/8.04 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e1) (e3)) = (op (e2) (e3)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H64.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_Ha3.
% 7.87/8.04 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 7.87/8.04 cut (((op (e2) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha5].
% 7.87/8.04 congruence.
% 7.87/8.04 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e1) (e3)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_Ha5.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_Ha1.
% 7.87/8.04 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 7.87/8.04 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 7.87/8.04 congruence.
% 7.87/8.04 apply zenon_Ha4. apply refl_equal.
% 7.87/8.04 apply zenon_Ha6. apply sym_equal. exact zenon_Ha2.
% 7.87/8.04 apply zenon_Ha4. apply refl_equal.
% 7.87/8.04 apply zenon_Ha4. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L45_ *)
% 7.87/8.04 assert (zenon_L46_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_Ha7 zenon_H99 zenon_H54 zenon_H6c zenon_H70 zenon_H20 zenon_H36 zenon_Ha2 zenon_H64.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H98 | zenon_intro zenon_Ha8 ].
% 7.87/8.04 apply (zenon_L41_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9c | zenon_intro zenon_Ha9 ].
% 7.87/8.04 apply (zenon_L43_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha1 ].
% 7.87/8.04 apply (zenon_L44_); trivial.
% 7.87/8.04 apply (zenon_L45_); trivial.
% 7.87/8.04 (* end of lemma zenon_L46_ *)
% 7.87/8.04 assert (zenon_L47_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e2)) -> (~((e0) = (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) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (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) (e2)) = (op (e3) (e2)))) -> (~((e0) = (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) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False).
% 7.87/8.04 do 0 intro. intros zenon_Haa zenon_H93 zenon_H8f zenon_H89 zenon_H95 zenon_Ha7 zenon_H99 zenon_H54 zenon_H6c zenon_H20 zenon_Ha2 zenon_H55 zenon_H51 zenon_H30 zenon_H33 zenon_H5e zenon_H38 zenon_H2c zenon_H25 zenon_H28 zenon_H1e zenon_H61 zenon_H5a zenon_H67 zenon_H3d zenon_H4e zenon_H64 zenon_H5d.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.04 apply (zenon_L24_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.04 apply (zenon_L40_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.87/8.04 apply (zenon_L15_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.87/8.04 apply (zenon_L7_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 7.87/8.04 apply (zenon_L46_); trivial.
% 7.87/8.04 apply (zenon_L21_); trivial.
% 7.87/8.04 apply (zenon_L34_); trivial.
% 7.87/8.04 (* end of lemma zenon_L47_ *)
% 7.87/8.04 assert (zenon_L48_ : (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0)))/\(((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0)))/\((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))))))) -> ((op (e0) (e0)) = (e3)) -> (~((e0) = (e3))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_Had zenon_H86 zenon_H67.
% 7.87/8.04 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H1e. zenon_intro zenon_Hae.
% 7.87/8.04 apply (zenon_L36_); trivial.
% 7.87/8.04 (* end of lemma zenon_L48_ *)
% 7.87/8.04 assert (zenon_L49_ : (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e2)) = (e3)) -> False).
% 7.87/8.04 do 0 intro. intros zenon_Haf zenon_H86 zenon_Hb0.
% 7.87/8.04 cut (((op (e0) (e0)) = (e3)) = ((op (e0) (e0)) = (op (e0) (e2)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_Haf.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H86.
% 7.87/8.04 cut (((e3) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb1].
% 7.87/8.04 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 7.87/8.04 congruence.
% 7.87/8.04 apply zenon_H2b. apply refl_equal.
% 7.87/8.04 apply zenon_Hb1. apply sym_equal. exact zenon_Hb0.
% 7.87/8.04 (* end of lemma zenon_L49_ *)
% 7.87/8.04 assert (zenon_L50_ : ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e1))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H3e zenon_Hb2 zenon_H55.
% 7.87/8.04 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H56 | zenon_intro zenon_H57 ].
% 7.87/8.04 cut (((e1) = (e1)) = ((e0) = (e1))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H55.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H56.
% 7.87/8.04 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.87/8.04 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 7.87/8.04 congruence.
% 7.87/8.04 cut (((op (e3) (e0)) = (e0)) = ((e1) = (e0))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H58.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H3e.
% 7.87/8.04 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.87/8.04 cut (((op (e3) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb3].
% 7.87/8.04 congruence.
% 7.87/8.04 exact (zenon_Hb3 zenon_Hb2).
% 7.87/8.04 apply zenon_H1d. apply refl_equal.
% 7.87/8.04 apply zenon_H57. apply refl_equal.
% 7.87/8.04 apply zenon_H57. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L50_ *)
% 7.87/8.04 assert (zenon_L51_ : (((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 (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H61 zenon_H1e zenon_H28 zenon_H2c zenon_H38 zenon_H4e zenon_H55 zenon_Hb2 zenon_H25 zenon_H40 zenon_H36 zenon_H5a zenon_H5e.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.87/8.04 apply (zenon_L4_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.87/8.04 apply (zenon_L5_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.87/8.04 apply (zenon_L8_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.87/8.04 apply (zenon_L50_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.87/8.04 apply (zenon_L10_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.87/8.04 apply (zenon_L16_); trivial.
% 7.87/8.04 apply (zenon_L18_); trivial.
% 7.87/8.04 (* end of lemma zenon_L51_ *)
% 7.87/8.04 assert (zenon_L52_ : ((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_Hb4 zenon_Hb5 zenon_H99 zenon_H98 zenon_H61 zenon_H55 zenon_H40 zenon_H5a zenon_H5e zenon_H4e zenon_H36 zenon_H38 zenon_H25 zenon_H2c zenon_H1e zenon_H28 zenon_Hb6.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H2d ].
% 7.87/8.04 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 7.87/8.04 exact (zenon_Hb5 zenon_Hb9).
% 7.87/8.04 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 7.87/8.04 exact (zenon_Hb7 zenon_Hbb).
% 7.87/8.04 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 7.87/8.04 apply (zenon_L41_); trivial.
% 7.87/8.04 apply (zenon_L51_); trivial.
% 7.87/8.04 apply (zenon_L5_); trivial.
% 7.87/8.04 (* end of lemma zenon_L52_ *)
% 7.87/8.04 assert (zenon_L53_ : ((op (e2) (e3)) = (e2)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_Ha1 zenon_Hbc zenon_Hbd.
% 7.87/8.04 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha4 ].
% 7.87/8.04 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_Hbd.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_Ha3.
% 7.87/8.04 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 7.87/8.04 cut (((op (e2) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 7.87/8.04 congruence.
% 7.87/8.04 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e0) (e3)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_Hbe.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_Ha1.
% 7.87/8.04 cut (((e2) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hbf].
% 7.87/8.04 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 7.87/8.04 congruence.
% 7.87/8.04 apply zenon_Ha4. apply refl_equal.
% 7.87/8.04 apply zenon_Hbf. apply sym_equal. exact zenon_Hbc.
% 7.87/8.04 apply zenon_Ha4. apply refl_equal.
% 7.87/8.04 apply zenon_Ha4. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L53_ *)
% 7.87/8.04 assert (zenon_L54_ : (((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 (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_Ha7 zenon_Hb6 zenon_H28 zenon_H1e zenon_H2c zenon_H25 zenon_H38 zenon_H4e zenon_H5e zenon_H5a zenon_H40 zenon_H55 zenon_H61 zenon_H99 zenon_Hb5 zenon_Hb4 zenon_H6c zenon_H70 zenon_H20 zenon_H36 zenon_Hbc zenon_Hbd.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H98 | zenon_intro zenon_Ha8 ].
% 7.87/8.04 apply (zenon_L52_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9c | zenon_intro zenon_Ha9 ].
% 7.87/8.04 apply (zenon_L43_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha1 ].
% 7.87/8.04 apply (zenon_L44_); trivial.
% 7.87/8.04 apply (zenon_L53_); trivial.
% 7.87/8.04 (* end of lemma zenon_L54_ *)
% 7.87/8.04 assert (zenon_L55_ : (((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) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H51 zenon_H54 zenon_H33 zenon_Hbd zenon_Hbc zenon_H20 zenon_H70 zenon_H6c zenon_Hb4 zenon_Hb5 zenon_H99 zenon_H61 zenon_H55 zenon_H40 zenon_H5a zenon_H5e zenon_H4e zenon_H38 zenon_H25 zenon_H2c zenon_H1e zenon_H28 zenon_Hb6 zenon_Ha7 zenon_H64 zenon_H5d.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.87/8.04 apply (zenon_L15_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.87/8.04 apply (zenon_L7_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 7.87/8.04 apply (zenon_L54_); trivial.
% 7.87/8.04 apply (zenon_L21_); trivial.
% 7.87/8.04 (* end of lemma zenon_L55_ *)
% 7.87/8.04 assert (zenon_L56_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (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 (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (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)) = (e2)) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((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 (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H95 zenon_Hb0 zenon_Haf zenon_H64 zenon_H4e zenon_H3d zenon_H67 zenon_H5a zenon_H61 zenon_H1e zenon_H28 zenon_H25 zenon_H2c zenon_H38 zenon_H5e zenon_H33 zenon_H30 zenon_H51 zenon_Hbd zenon_Hbc zenon_H20 zenon_H6c zenon_Hb4 zenon_Hb5 zenon_H99 zenon_H55 zenon_H40 zenon_Hb6 zenon_Ha7 zenon_H89 zenon_Haa zenon_H43 zenon_H49 zenon_H8f zenon_H54 zenon_Hc0.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.87/8.04 apply (zenon_L49_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.87/8.04 apply (zenon_L4_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.87/8.04 apply (zenon_L5_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.87/8.04 apply (zenon_L14_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.04 apply (zenon_L24_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.04 apply (zenon_L37_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.04 apply (zenon_L55_); trivial.
% 7.87/8.04 apply (zenon_L34_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.87/8.04 apply (zenon_L38_); trivial.
% 7.87/8.04 exact (zenon_Hc0 zenon_H92).
% 7.87/8.04 (* end of lemma zenon_L56_ *)
% 7.87/8.04 assert (zenon_L57_ : ((op (e0) (e3)) = (e2)) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_Hbc zenon_Hc1 zenon_H6c.
% 7.87/8.04 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 7.87/8.04 cut (((e3) = (e3)) = ((e2) = (e3))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H6c.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H68.
% 7.87/8.04 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.04 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9d].
% 7.87/8.04 congruence.
% 7.87/8.04 cut (((op (e0) (e3)) = (e2)) = ((e3) = (e2))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H9d.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_Hbc.
% 7.87/8.04 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.87/8.04 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hc2].
% 7.87/8.04 congruence.
% 7.87/8.04 exact (zenon_Hc2 zenon_Hc1).
% 7.87/8.04 apply zenon_H22. apply refl_equal.
% 7.87/8.04 apply zenon_H69. apply refl_equal.
% 7.87/8.04 apply zenon_H69. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L57_ *)
% 7.87/8.04 assert (zenon_L58_ : (((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 (e0) (e0)) = (e0)))/\(((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0)))/\(((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0)))/\((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))))))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((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 (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (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 (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (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) (e2)) = (op (e3) (e2)))) -> (~((e0) = (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) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_Hc3 zenon_Had zenon_Hc0 zenon_H54 zenon_H8f zenon_H49 zenon_H43 zenon_Haa zenon_H89 zenon_Ha7 zenon_Hb6 zenon_H40 zenon_H55 zenon_H99 zenon_Hb5 zenon_Hb4 zenon_H20 zenon_Hbd zenon_H51 zenon_H30 zenon_H33 zenon_H5e zenon_H38 zenon_H2c zenon_H25 zenon_H28 zenon_H1e zenon_H61 zenon_H5a zenon_H67 zenon_H3d zenon_H4e zenon_H64 zenon_Haf zenon_H95 zenon_Hbc zenon_H6c.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.87/8.04 apply (zenon_L48_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.87/8.04 apply (zenon_L24_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.87/8.04 apply (zenon_L56_); trivial.
% 7.87/8.04 apply (zenon_L57_); trivial.
% 7.87/8.04 (* end of lemma zenon_L58_ *)
% 7.87/8.04 assert (zenon_L59_ : (((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 (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((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 (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H51 zenon_H30 zenon_H33 zenon_H5e zenon_H5a zenon_H40 zenon_H25 zenon_Hb2 zenon_H55 zenon_H4e zenon_H38 zenon_H2c zenon_H28 zenon_H1e zenon_H61 zenon_H64 zenon_H5d.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.87/8.04 apply (zenon_L6_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.87/8.04 apply (zenon_L7_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 7.87/8.04 apply (zenon_L51_); trivial.
% 7.87/8.04 apply (zenon_L21_); trivial.
% 7.87/8.04 (* end of lemma zenon_L59_ *)
% 7.87/8.04 assert (zenon_L60_ : (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((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 (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((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 (e1) (e3)) = (op (e2) (e3)))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_H49 zenon_H43 zenon_H3d zenon_H51 zenon_H30 zenon_H33 zenon_H5e zenon_H5a zenon_H40 zenon_H25 zenon_Hb2 zenon_H55 zenon_H4e zenon_H38 zenon_H2c zenon_H28 zenon_H1e zenon_H61 zenon_H64.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.87/8.04 apply (zenon_L4_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.87/8.04 apply (zenon_L5_); trivial.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.87/8.04 apply (zenon_L14_); trivial.
% 7.87/8.04 apply (zenon_L59_); trivial.
% 7.87/8.04 (* end of lemma zenon_L60_ *)
% 7.87/8.04 assert (zenon_L61_ : ((op (e1) (e1)) = (e1)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False).
% 7.87/8.04 do 0 intro. intros zenon_Hc6 zenon_Hc7 zenon_H2c.
% 7.87/8.04 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_H8a | zenon_intro zenon_H8b ].
% 7.87/8.04 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (e0) (e1)) = (op (e1) (e1)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_H2c.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H8a.
% 7.87/8.04 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 7.87/8.04 cut (((op (e1) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hc8].
% 7.87/8.04 congruence.
% 7.87/8.04 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e0) (e1)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_Hc8.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_Hc6.
% 7.87/8.04 cut (((e1) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hc9].
% 7.87/8.04 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 7.87/8.04 congruence.
% 7.87/8.04 apply zenon_H8b. apply refl_equal.
% 7.87/8.04 apply zenon_Hc9. apply sym_equal. exact zenon_Hc7.
% 7.87/8.04 apply zenon_H8b. apply refl_equal.
% 7.87/8.04 apply zenon_H8b. apply refl_equal.
% 7.87/8.04 (* end of lemma zenon_L61_ *)
% 7.87/8.04 assert (zenon_L62_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> False).
% 7.87/8.04 do 0 intro. intros zenon_Hca zenon_H6d zenon_H70.
% 7.87/8.04 cut (((op (e1) (e1)) = (e3)) = ((op (e1) (e1)) = (op (e2) (e1)))).
% 7.87/8.04 intro zenon_D_pnotp.
% 7.87/8.04 apply zenon_Hca.
% 7.87/8.04 rewrite <- zenon_D_pnotp.
% 7.87/8.04 exact zenon_H6d.
% 7.87/8.04 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hcb].
% 7.87/8.04 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 7.87/8.04 congruence.
% 7.87/8.04 apply zenon_H8b. apply refl_equal.
% 7.87/8.04 apply zenon_Hcb. apply sym_equal. exact zenon_H70.
% 7.87/8.04 (* end of lemma zenon_L62_ *)
% 7.87/8.04 assert (zenon_L63_ : (((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 (e0) (e1)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> False).
% 7.87/8.04 do 0 intro. intros zenon_Hcc zenon_H25 zenon_H2c zenon_Hc7 zenon_H36 zenon_Hca zenon_H70.
% 7.87/8.04 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H2d | zenon_intro zenon_Hcd ].
% 7.87/8.04 apply (zenon_L5_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hce ].
% 7.87/8.05 apply (zenon_L61_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 7.87/8.05 apply (zenon_L29_); trivial.
% 7.87/8.05 apply (zenon_L62_); trivial.
% 7.87/8.05 (* end of lemma zenon_L63_ *)
% 7.87/8.05 assert (zenon_L64_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (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 (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Haa zenon_H89 zenon_H88 zenon_Hca zenon_Hc7 zenon_Hcc zenon_H4e zenon_H3d zenon_H67 zenon_H5a zenon_H61 zenon_H1e zenon_H28 zenon_H25 zenon_H2c zenon_H38 zenon_H36 zenon_H5e.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.05 apply (zenon_L24_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.05 apply (zenon_L37_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.05 apply (zenon_L63_); trivial.
% 7.87/8.05 apply (zenon_L33_); trivial.
% 7.87/8.05 (* end of lemma zenon_L64_ *)
% 7.87/8.05 assert (zenon_L65_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Hcf zenon_H82 zenon_H99.
% 7.87/8.05 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ].
% 7.87/8.05 cut (((e2) = (e2)) = ((e1) = (e2))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H99.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H21.
% 7.87/8.05 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.87/8.05 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 7.87/8.05 congruence.
% 7.87/8.05 cut (((op (e0) (e2)) = (e1)) = ((e2) = (e1))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H9a.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_Hcf.
% 7.87/8.05 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.87/8.05 cut (((op (e0) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hd0].
% 7.87/8.05 congruence.
% 7.87/8.05 exact (zenon_Hd0 zenon_H82).
% 7.87/8.05 apply zenon_H57. apply refl_equal.
% 7.87/8.05 apply zenon_H22. apply refl_equal.
% 7.87/8.05 apply zenon_H22. apply refl_equal.
% 7.87/8.05 (* end of lemma zenon_L65_ *)
% 7.87/8.05 assert (zenon_L66_ : ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> (~((e1) = (e3))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Hbb zenon_H88 zenon_H8f.
% 7.87/8.05 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 7.87/8.05 cut (((e3) = (e3)) = ((e1) = (e3))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H8f.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H68.
% 7.87/8.05 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.05 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 7.87/8.05 congruence.
% 7.87/8.05 cut (((op (e1) (e0)) = (e1)) = ((e3) = (e1))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H90.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_Hbb.
% 7.87/8.05 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.87/8.05 cut (((op (e1) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 7.87/8.05 congruence.
% 7.87/8.05 exact (zenon_Hd1 zenon_H88).
% 7.87/8.05 apply zenon_H57. apply refl_equal.
% 7.87/8.05 apply zenon_H69. apply refl_equal.
% 7.87/8.05 apply zenon_H69. apply refl_equal.
% 7.87/8.05 (* end of lemma zenon_L66_ *)
% 7.87/8.05 assert (zenon_L67_ : ((op (e1) (e1)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Hc6 zenon_H6e zenon_H99.
% 7.87/8.05 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ].
% 7.87/8.05 cut (((e2) = (e2)) = ((e1) = (e2))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H99.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H21.
% 7.87/8.05 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.87/8.05 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 7.87/8.05 congruence.
% 7.87/8.05 cut (((op (e1) (e1)) = (e1)) = ((e2) = (e1))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H9a.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_Hc6.
% 7.87/8.05 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.87/8.05 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 7.87/8.05 congruence.
% 7.87/8.05 exact (zenon_H6f zenon_H6e).
% 7.87/8.05 apply zenon_H57. apply refl_equal.
% 7.87/8.05 apply zenon_H22. apply refl_equal.
% 7.87/8.05 apply zenon_H22. apply refl_equal.
% 7.87/8.05 (* end of lemma zenon_L67_ *)
% 7.87/8.05 assert (zenon_L68_ : ((op (e1) (e2)) = (e1)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Hd2 zenon_Hcf zenon_H81.
% 7.87/8.05 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H46 ].
% 7.87/8.05 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e0) (e2)) = (op (e1) (e2)))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H81.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_Hd3.
% 7.87/8.05 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 7.87/8.05 cut (((op (e1) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hd4].
% 7.87/8.05 congruence.
% 7.87/8.05 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e0) (e2)))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_Hd4.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_Hd2.
% 7.87/8.05 cut (((e1) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hd5].
% 7.87/8.05 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 7.87/8.05 congruence.
% 7.87/8.05 apply zenon_H46. apply refl_equal.
% 7.87/8.05 apply zenon_Hd5. apply sym_equal. exact zenon_Hcf.
% 7.87/8.05 apply zenon_H46. apply refl_equal.
% 7.87/8.05 apply zenon_H46. apply refl_equal.
% 7.87/8.05 (* end of lemma zenon_L68_ *)
% 7.87/8.05 assert (zenon_L69_ : (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e0)) -> False).
% 7.87/8.05 do 0 intro. intros zenon_H55 zenon_Hd6 zenon_H5d.
% 7.87/8.05 cut (((op (e1) (e3)) = (e1)) = ((e0) = (e1))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H55.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_Hd6.
% 7.87/8.05 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.87/8.05 cut (((op (e1) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hd7].
% 7.87/8.05 congruence.
% 7.87/8.05 exact (zenon_Hd7 zenon_H5d).
% 7.87/8.05 apply zenon_H57. apply refl_equal.
% 7.87/8.05 (* end of lemma zenon_L69_ *)
% 7.87/8.05 assert (zenon_L70_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e0)) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Hd8 zenon_H8f zenon_H88 zenon_H99 zenon_H6e zenon_H81 zenon_Hcf zenon_H55 zenon_H5d.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd9 ].
% 7.87/8.05 apply (zenon_L66_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hda ].
% 7.87/8.05 apply (zenon_L67_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd6 ].
% 7.87/8.05 apply (zenon_L68_); trivial.
% 7.87/8.05 apply (zenon_L69_); trivial.
% 7.87/8.05 (* end of lemma zenon_L70_ *)
% 7.87/8.05 assert (zenon_L71_ : ((op (e1) (e1)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Hc6 zenon_H6d zenon_H8f.
% 7.87/8.05 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 7.87/8.05 cut (((e3) = (e3)) = ((e1) = (e3))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H8f.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H68.
% 7.87/8.05 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.05 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 7.87/8.05 congruence.
% 7.87/8.05 cut (((op (e1) (e1)) = (e1)) = ((e3) = (e1))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H90.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_Hc6.
% 7.87/8.05 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.87/8.05 cut (((op (e1) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 7.87/8.05 congruence.
% 7.87/8.05 exact (zenon_Hdb zenon_H6d).
% 7.87/8.05 apply zenon_H57. apply refl_equal.
% 7.87/8.05 apply zenon_H69. apply refl_equal.
% 7.87/8.05 apply zenon_H69. apply refl_equal.
% 7.87/8.05 (* end of lemma zenon_L71_ *)
% 7.87/8.05 assert (zenon_L72_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (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 (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Haa zenon_H8f zenon_Hc6 zenon_H6c zenon_H9c zenon_H4e zenon_H3d zenon_H67 zenon_H5a zenon_H61 zenon_H1e zenon_H28 zenon_H25 zenon_H2c zenon_H38 zenon_H36 zenon_H5e.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.05 apply (zenon_L24_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.05 apply (zenon_L71_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.05 apply (zenon_L43_); trivial.
% 7.87/8.05 apply (zenon_L33_); trivial.
% 7.87/8.05 (* end of lemma zenon_L72_ *)
% 7.87/8.05 assert (zenon_L73_ : (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e1)) = (e2)) -> False).
% 7.87/8.05 do 0 intro. intros zenon_H6c zenon_H7f zenon_Hdc.
% 7.87/8.05 cut (((op (e3) (e1)) = (e3)) = ((e2) = (e3))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H6c.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H7f.
% 7.87/8.05 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.05 cut (((op (e3) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hdd].
% 7.87/8.05 congruence.
% 7.87/8.05 exact (zenon_Hdd zenon_Hdc).
% 7.87/8.05 apply zenon_H69. apply refl_equal.
% 7.87/8.05 (* end of lemma zenon_L73_ *)
% 7.87/8.05 assert (zenon_L74_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e2)) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Haa zenon_H67 zenon_H89 zenon_H88 zenon_Hbd zenon_Hbc zenon_H36 zenon_H20 zenon_Hb4 zenon_Hb5 zenon_H99 zenon_H61 zenon_H55 zenon_H40 zenon_H5a zenon_H5e zenon_H4e zenon_H38 zenon_H25 zenon_H2c zenon_H1e zenon_H28 zenon_Hb6 zenon_Ha7 zenon_H6c zenon_Hdc.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.05 apply (zenon_L24_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.05 apply (zenon_L37_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.05 apply (zenon_L54_); trivial.
% 7.87/8.05 apply (zenon_L73_); trivial.
% 7.87/8.05 (* end of lemma zenon_L74_ *)
% 7.87/8.05 assert (zenon_L75_ : (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0)))/\(((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0)))/\((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))))))) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e2))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Had zenon_H1f zenon_H20.
% 7.87/8.05 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H1e. zenon_intro zenon_Hae.
% 7.87/8.05 apply (zenon_L2_); trivial.
% 7.87/8.05 (* end of lemma zenon_L75_ *)
% 7.87/8.05 assert (zenon_L76_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (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 (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Haa zenon_H89 zenon_H88 zenon_H64 zenon_Ha2 zenon_H20 zenon_H6c zenon_H54 zenon_H99 zenon_Ha7 zenon_H4e zenon_H3d zenon_H67 zenon_H5a zenon_H61 zenon_H1e zenon_H28 zenon_H25 zenon_H2c zenon_H38 zenon_H36 zenon_H5e.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.05 apply (zenon_L24_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.05 apply (zenon_L37_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.05 apply (zenon_L46_); trivial.
% 7.87/8.05 apply (zenon_L33_); trivial.
% 7.87/8.05 (* end of lemma zenon_L76_ *)
% 7.87/8.05 assert (zenon_L77_ : ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e2)) -> (~((e0) = (e2))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_H3e zenon_H93 zenon_H20.
% 7.87/8.05 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ].
% 7.87/8.05 cut (((e2) = (e2)) = ((e0) = (e2))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H20.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H21.
% 7.87/8.05 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.87/8.05 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 7.87/8.05 congruence.
% 7.87/8.05 cut (((op (e3) (e0)) = (e0)) = ((e2) = (e0))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H23.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H3e.
% 7.87/8.05 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.87/8.05 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H94].
% 7.87/8.05 congruence.
% 7.87/8.05 exact (zenon_H94 zenon_H93).
% 7.87/8.05 apply zenon_H1d. apply refl_equal.
% 7.87/8.05 apply zenon_H22. apply refl_equal.
% 7.87/8.05 apply zenon_H22. apply refl_equal.
% 7.87/8.05 (* end of lemma zenon_L77_ *)
% 7.87/8.05 assert (zenon_L78_ : ((op (e3) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e2))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Hb2 zenon_H93 zenon_H99.
% 7.87/8.05 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ].
% 7.87/8.05 cut (((e2) = (e2)) = ((e1) = (e2))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H99.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H21.
% 7.87/8.05 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.87/8.05 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 7.87/8.05 congruence.
% 7.87/8.05 cut (((op (e3) (e0)) = (e1)) = ((e2) = (e1))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H9a.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_Hb2.
% 7.87/8.05 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.87/8.05 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H94].
% 7.87/8.05 congruence.
% 7.87/8.05 exact (zenon_H94 zenon_H93).
% 7.87/8.05 apply zenon_H57. apply refl_equal.
% 7.87/8.05 apply zenon_H22. apply refl_equal.
% 7.87/8.05 apply zenon_H22. apply refl_equal.
% 7.87/8.05 (* end of lemma zenon_L78_ *)
% 7.87/8.05 assert (zenon_L79_ : ((op (e3) (e1)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e1))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_H41 zenon_Hde zenon_H55.
% 7.87/8.05 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H56 | zenon_intro zenon_H57 ].
% 7.87/8.05 cut (((e1) = (e1)) = ((e0) = (e1))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H55.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H56.
% 7.87/8.05 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.87/8.05 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 7.87/8.05 congruence.
% 7.87/8.05 cut (((op (e3) (e1)) = (e0)) = ((e1) = (e0))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H58.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H41.
% 7.87/8.05 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.87/8.05 cut (((op (e3) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hdf].
% 7.87/8.05 congruence.
% 7.87/8.05 exact (zenon_Hdf zenon_Hde).
% 7.87/8.05 apply zenon_H1d. apply refl_equal.
% 7.87/8.05 apply zenon_H57. apply refl_equal.
% 7.87/8.05 apply zenon_H57. apply refl_equal.
% 7.87/8.05 (* end of lemma zenon_L79_ *)
% 7.87/8.05 assert (zenon_L80_ : (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False).
% 7.87/8.05 do 0 intro. intros zenon_H43 zenon_Hd2 zenon_He0.
% 7.87/8.05 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e3) (e2)))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H43.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_Hd2.
% 7.87/8.05 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_He1].
% 7.87/8.05 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 7.87/8.05 congruence.
% 7.87/8.05 apply zenon_H46. apply refl_equal.
% 7.87/8.05 apply zenon_He1. apply sym_equal. exact zenon_He0.
% 7.87/8.05 (* end of lemma zenon_L80_ *)
% 7.87/8.05 assert (zenon_L81_ : ((op (e3) (e3)) = (e1)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_He2 zenon_He3 zenon_He4.
% 7.87/8.05 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H4a | zenon_intro zenon_H4b ].
% 7.87/8.05 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e0) (e3)) = (op (e3) (e3)))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_He4.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H4a.
% 7.87/8.05 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.87/8.05 cut (((op (e3) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He5].
% 7.87/8.05 congruence.
% 7.87/8.05 cut (((op (e3) (e3)) = (e1)) = ((op (e3) (e3)) = (op (e0) (e3)))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_He5.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_He2.
% 7.87/8.05 cut (((e1) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He6].
% 7.87/8.05 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.87/8.05 congruence.
% 7.87/8.05 apply zenon_H4b. apply refl_equal.
% 7.87/8.05 apply zenon_He6. apply sym_equal. exact zenon_He3.
% 7.87/8.05 apply zenon_H4b. apply refl_equal.
% 7.87/8.05 apply zenon_H4b. apply refl_equal.
% 7.87/8.05 (* end of lemma zenon_L81_ *)
% 7.87/8.05 assert (zenon_L82_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e2)) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_He7 zenon_H99 zenon_H93 zenon_H55 zenon_H41 zenon_Hd2 zenon_H43 zenon_He3 zenon_He4.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hb2 | zenon_intro zenon_He8 ].
% 7.87/8.05 apply (zenon_L78_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ].
% 7.87/8.05 apply (zenon_L79_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_He0 | zenon_intro zenon_He2 ].
% 7.87/8.05 apply (zenon_L80_); trivial.
% 7.87/8.05 apply (zenon_L81_); trivial.
% 7.87/8.05 (* end of lemma zenon_L82_ *)
% 7.87/8.05 assert (zenon_L83_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_H4e zenon_He4 zenon_He3 zenon_H43 zenon_Hd2 zenon_H55 zenon_H93 zenon_H99 zenon_He7 zenon_H5a zenon_H61 zenon_H20 zenon_H5b zenon_H25 zenon_H2c zenon_H38 zenon_H36 zenon_H5e.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.87/8.05 apply (zenon_L77_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.87/8.05 apply (zenon_L82_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.87/8.05 apply (zenon_L16_); trivial.
% 7.87/8.05 apply (zenon_L19_); trivial.
% 7.87/8.05 (* end of lemma zenon_L83_ *)
% 7.87/8.05 assert (zenon_L84_ : ((op (e1) (e1)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_H6e zenon_H5b zenon_H89.
% 7.87/8.05 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_H8a | zenon_intro zenon_H8b ].
% 7.87/8.05 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (e1) (e0)) = (op (e1) (e1)))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H89.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H8a.
% 7.87/8.05 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 7.87/8.05 cut (((op (e1) (e1)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H8c].
% 7.87/8.05 congruence.
% 7.87/8.05 cut (((op (e1) (e1)) = (e2)) = ((op (e1) (e1)) = (op (e1) (e0)))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H8c.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H6e.
% 7.87/8.05 cut (((e2) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 7.87/8.05 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 7.87/8.05 congruence.
% 7.87/8.05 apply zenon_H8b. apply refl_equal.
% 7.87/8.05 apply zenon_Hea. apply sym_equal. exact zenon_H5b.
% 7.87/8.05 apply zenon_H8b. apply refl_equal.
% 7.87/8.05 apply zenon_H8b. apply refl_equal.
% 7.87/8.05 (* end of lemma zenon_L84_ *)
% 7.87/8.05 assert (zenon_L85_ : (~((e0) = (e2))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> False).
% 7.87/8.05 do 0 intro. intros zenon_H20 zenon_H6e zenon_H2d.
% 7.87/8.05 cut (((op (e1) (e1)) = (e2)) = ((e0) = (e2))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H20.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H6e.
% 7.87/8.05 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.87/8.05 cut (((op (e1) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Heb].
% 7.87/8.05 congruence.
% 7.87/8.05 exact (zenon_Heb zenon_H2d).
% 7.87/8.05 apply zenon_H22. apply refl_equal.
% 7.87/8.05 (* end of lemma zenon_L85_ *)
% 7.87/8.05 assert (zenon_L86_ : (((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)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_H61 zenon_H1e zenon_H28 zenon_H6e zenon_H20 zenon_H38 zenon_H36 zenon_H47 zenon_H5e.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.87/8.05 apply (zenon_L4_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.87/8.05 apply (zenon_L85_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.87/8.05 apply (zenon_L8_); trivial.
% 7.87/8.05 apply (zenon_L18_); trivial.
% 7.87/8.05 (* end of lemma zenon_L86_ *)
% 7.87/8.05 assert (zenon_L87_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (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)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_H4e zenon_H3d zenon_He4 zenon_He3 zenon_H43 zenon_Hd2 zenon_H55 zenon_H93 zenon_H99 zenon_He7 zenon_H5a zenon_H61 zenon_H1e zenon_H28 zenon_H6e zenon_H20 zenon_H38 zenon_H36 zenon_H5e.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.87/8.05 apply (zenon_L9_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.87/8.05 apply (zenon_L82_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.87/8.05 apply (zenon_L16_); trivial.
% 7.87/8.05 apply (zenon_L86_); trivial.
% 7.87/8.05 (* end of lemma zenon_L87_ *)
% 7.87/8.05 assert (zenon_L88_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e2) (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 (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (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)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Hec zenon_H89 zenon_H54 zenon_H4e zenon_H3d zenon_He4 zenon_He3 zenon_H43 zenon_Hd2 zenon_H55 zenon_H99 zenon_He7 zenon_H5a zenon_H61 zenon_H1e zenon_H28 zenon_H6e zenon_H20 zenon_H38 zenon_H36 zenon_H5e.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.87/8.05 apply (zenon_L2_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.87/8.05 apply (zenon_L84_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.87/8.05 apply (zenon_L41_); trivial.
% 7.87/8.05 apply (zenon_L87_); trivial.
% 7.87/8.05 (* end of lemma zenon_L88_ *)
% 7.87/8.05 assert (zenon_L89_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_He3 zenon_Hc1 zenon_H8f.
% 7.87/8.05 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 7.87/8.05 cut (((e3) = (e3)) = ((e1) = (e3))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H8f.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H68.
% 7.87/8.05 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.05 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 7.87/8.05 congruence.
% 7.87/8.05 cut (((op (e0) (e3)) = (e1)) = ((e3) = (e1))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H90.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_He3.
% 7.87/8.05 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.87/8.05 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hc2].
% 7.87/8.05 congruence.
% 7.87/8.05 exact (zenon_Hc2 zenon_Hc1).
% 7.87/8.05 apply zenon_H57. apply refl_equal.
% 7.87/8.05 apply zenon_H69. apply refl_equal.
% 7.87/8.05 apply zenon_H69. apply refl_equal.
% 7.87/8.05 (* end of lemma zenon_L89_ *)
% 7.87/8.05 assert (zenon_L90_ : (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Hef zenon_Hc6 zenon_Hd2.
% 7.87/8.05 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e1) (e2)))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_Hef.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_Hc6.
% 7.87/8.05 cut (((e1) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf0].
% 7.87/8.05 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 7.87/8.05 congruence.
% 7.87/8.05 apply zenon_H8b. apply refl_equal.
% 7.87/8.05 apply zenon_Hf0. apply sym_equal. exact zenon_Hd2.
% 7.87/8.05 (* end of lemma zenon_L90_ *)
% 7.87/8.05 assert (zenon_L91_ : (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e1)) = (e1)) -> False).
% 7.87/8.05 do 0 intro. intros zenon_H8f zenon_H7f zenon_Hde.
% 7.87/8.05 cut (((op (e3) (e1)) = (e3)) = ((e1) = (e3))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H8f.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H7f.
% 7.87/8.05 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.05 cut (((op (e3) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hdf].
% 7.87/8.05 congruence.
% 7.87/8.05 exact (zenon_Hdf zenon_Hde).
% 7.87/8.05 apply zenon_H69. apply refl_equal.
% 7.87/8.05 (* end of lemma zenon_L91_ *)
% 7.87/8.05 assert (zenon_L92_ : (((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)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_He7 zenon_H99 zenon_H93 zenon_H7f zenon_H8f zenon_Hd2 zenon_H43 zenon_He3 zenon_He4.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hb2 | zenon_intro zenon_He8 ].
% 7.87/8.05 apply (zenon_L78_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ].
% 7.87/8.05 apply (zenon_L91_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_He0 | zenon_intro zenon_He2 ].
% 7.87/8.05 apply (zenon_L80_); trivial.
% 7.87/8.05 apply (zenon_L81_); trivial.
% 7.87/8.05 (* end of lemma zenon_L92_ *)
% 7.87/8.05 assert (zenon_L93_ : ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Hd6 zenon_He3 zenon_Hf1.
% 7.87/8.05 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H65 ].
% 7.87/8.05 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_Hf1.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_Hf2.
% 7.87/8.05 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H65].
% 7.87/8.05 cut (((op (e1) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hf3].
% 7.87/8.05 congruence.
% 7.87/8.05 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e0) (e3)))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_Hf3.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_Hd6.
% 7.87/8.05 cut (((e1) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He6].
% 7.87/8.05 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H65].
% 7.87/8.05 congruence.
% 7.87/8.05 apply zenon_H65. apply refl_equal.
% 7.87/8.05 apply zenon_He6. apply sym_equal. exact zenon_He3.
% 7.87/8.05 apply zenon_H65. apply refl_equal.
% 7.87/8.05 apply zenon_H65. apply refl_equal.
% 7.87/8.05 (* end of lemma zenon_L93_ *)
% 7.87/8.05 assert (zenon_L94_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Hd8 zenon_He4 zenon_H43 zenon_H8f zenon_H93 zenon_H99 zenon_He7 zenon_H51 zenon_H55 zenon_H54 zenon_H25 zenon_H33 zenon_H6e zenon_H64 zenon_H5d zenon_H88 zenon_H89 zenon_H67 zenon_Haa zenon_He3 zenon_Hf1.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd9 ].
% 7.87/8.05 apply (zenon_L66_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hda ].
% 7.87/8.05 apply (zenon_L67_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd6 ].
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.05 apply (zenon_L24_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.05 apply (zenon_L37_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.05 apply (zenon_L30_); trivial.
% 7.87/8.05 apply (zenon_L92_); trivial.
% 7.87/8.05 apply (zenon_L93_); trivial.
% 7.87/8.05 (* end of lemma zenon_L94_ *)
% 7.87/8.05 assert (zenon_L95_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((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))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((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)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_H61 zenon_H28 zenon_H20 zenon_H49 zenon_H40 zenon_H3d zenon_H1e zenon_H4e zenon_H38 zenon_H30 zenon_Hd8 zenon_He4 zenon_H43 zenon_H8f zenon_H93 zenon_H99 zenon_He7 zenon_H51 zenon_H55 zenon_H54 zenon_H25 zenon_H33 zenon_H6e zenon_H64 zenon_H88 zenon_H89 zenon_H67 zenon_Haa zenon_He3 zenon_Hf1.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.87/8.05 apply (zenon_L4_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.87/8.05 apply (zenon_L85_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.87/8.05 apply (zenon_L14_); trivial.
% 7.87/8.05 apply (zenon_L94_); trivial.
% 7.87/8.05 (* end of lemma zenon_L95_ *)
% 7.87/8.05 assert (zenon_L96_ : (((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 (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((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))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((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)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Hec zenon_Hc3 zenon_H54 zenon_H8f zenon_H61 zenon_H28 zenon_H20 zenon_H49 zenon_H40 zenon_H3d zenon_H1e zenon_H4e zenon_H38 zenon_H30 zenon_Hd8 zenon_He4 zenon_H43 zenon_H99 zenon_He7 zenon_H51 zenon_H55 zenon_H25 zenon_H33 zenon_H6e zenon_H64 zenon_H89 zenon_H67 zenon_Haa zenon_He3 zenon_Hf1 zenon_Haf zenon_H95 zenon_Hbc zenon_H6c.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.87/8.05 apply (zenon_L2_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.87/8.05 apply (zenon_L84_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.87/8.05 apply (zenon_L41_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.87/8.05 apply (zenon_L36_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.87/8.05 apply (zenon_L24_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.87/8.05 apply (zenon_L49_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.87/8.05 apply (zenon_L95_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.87/8.05 apply (zenon_L38_); trivial.
% 7.87/8.05 apply (zenon_L39_); trivial.
% 7.87/8.05 apply (zenon_L57_); trivial.
% 7.87/8.05 (* end of lemma zenon_L96_ *)
% 7.87/8.05 assert (zenon_L97_ : (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e1)) -> False).
% 7.87/8.05 do 0 intro. intros zenon_H99 zenon_H9c zenon_Hf4.
% 7.87/8.05 cut (((op (e2) (e1)) = (e2)) = ((e1) = (e2))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H99.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H9c.
% 7.87/8.05 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.87/8.05 cut (((op (e2) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hf5].
% 7.87/8.05 congruence.
% 7.87/8.05 exact (zenon_Hf5 zenon_Hf4).
% 7.87/8.05 apply zenon_H22. apply refl_equal.
% 7.87/8.05 (* end of lemma zenon_L97_ *)
% 7.87/8.05 assert (zenon_L98_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Haa zenon_H67 zenon_H25 zenon_H89 zenon_H88 zenon_H6c zenon_H9c zenon_H8f zenon_Hde.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.05 apply (zenon_L24_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.05 apply (zenon_L37_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.05 apply (zenon_L43_); trivial.
% 7.87/8.05 apply (zenon_L91_); trivial.
% 7.87/8.05 (* end of lemma zenon_L98_ *)
% 7.87/8.05 assert (zenon_L99_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 7.87/8.05 do 0 intro. intros zenon_H95 zenon_Hb0 zenon_Haf zenon_H89 zenon_H6d zenon_H8f zenon_H54 zenon_H6c zenon_H93.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.87/8.05 apply (zenon_L49_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.87/8.05 apply (zenon_L37_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.87/8.05 apply (zenon_L38_); trivial.
% 7.87/8.05 apply (zenon_L39_); trivial.
% 7.87/8.05 (* end of lemma zenon_L99_ *)
% 7.87/8.05 assert (zenon_L100_ : (((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 (e3) (e0)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Hc3 zenon_H1e zenon_H67 zenon_H25 zenon_H93 zenon_H54 zenon_H8f zenon_H6d zenon_H89 zenon_Haf zenon_H95 zenon_Hbc zenon_H6c.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.87/8.05 apply (zenon_L36_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.87/8.05 apply (zenon_L24_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.87/8.05 apply (zenon_L99_); trivial.
% 7.87/8.05 apply (zenon_L57_); trivial.
% 7.87/8.05 (* end of lemma zenon_L100_ *)
% 7.87/8.05 assert (zenon_L101_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e2)) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Haa zenon_H95 zenon_Haf zenon_H89 zenon_H8f zenon_H54 zenon_H93 zenon_H67 zenon_Hc3 zenon_Hbd zenon_Hbc zenon_H36 zenon_H20 zenon_Hb4 zenon_Hb5 zenon_H99 zenon_H61 zenon_H55 zenon_H40 zenon_H5a zenon_H5e zenon_H4e zenon_H38 zenon_H25 zenon_H2c zenon_H1e zenon_H28 zenon_Hb6 zenon_Ha7 zenon_H6c zenon_Hdc.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.05 apply (zenon_L24_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.05 apply (zenon_L100_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.05 apply (zenon_L54_); trivial.
% 7.87/8.05 apply (zenon_L73_); trivial.
% 7.87/8.05 (* end of lemma zenon_L101_ *)
% 7.87/8.05 assert (zenon_L102_ : (((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 (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False).
% 7.87/8.05 do 0 intro. intros zenon_H51 zenon_H1e zenon_H30 zenon_H33 zenon_H70 zenon_Hca zenon_Hc7 zenon_H2c zenon_H25 zenon_Hcc zenon_H64 zenon_H5d.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.87/8.05 apply (zenon_L6_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.87/8.05 apply (zenon_L7_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 7.87/8.05 apply (zenon_L63_); trivial.
% 7.87/8.05 apply (zenon_L21_); trivial.
% 7.87/8.05 (* end of lemma zenon_L102_ *)
% 7.87/8.05 assert (zenon_L103_ : (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (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) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (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) (e2)) = (op (e3) (e2)))) -> (~((e0) = (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) (e3)) = (op (e2) (e3)))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_H49 zenon_H43 zenon_H40 zenon_Haa zenon_H6c zenon_Hbc zenon_H95 zenon_Haf zenon_H89 zenon_H8f zenon_H54 zenon_H93 zenon_Hc3 zenon_Hcc zenon_Hc7 zenon_Hca zenon_H51 zenon_H30 zenon_H33 zenon_H5e zenon_H38 zenon_H2c zenon_H25 zenon_H28 zenon_H1e zenon_H61 zenon_H5a zenon_H67 zenon_H3d zenon_H4e zenon_H64.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.87/8.05 apply (zenon_L4_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.87/8.05 apply (zenon_L5_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.87/8.05 apply (zenon_L14_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.05 apply (zenon_L24_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.05 apply (zenon_L100_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.05 apply (zenon_L102_); trivial.
% 7.87/8.05 apply (zenon_L34_); trivial.
% 7.87/8.05 (* end of lemma zenon_L103_ *)
% 7.87/8.05 assert (zenon_L104_ : ((op (e1) (e1)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_H6d zenon_H66 zenon_H2c.
% 7.87/8.05 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_H8a | zenon_intro zenon_H8b ].
% 7.87/8.05 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (e0) (e1)) = (op (e1) (e1)))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H2c.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H8a.
% 7.87/8.05 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 7.87/8.05 cut (((op (e1) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hc8].
% 7.87/8.05 congruence.
% 7.87/8.05 cut (((op (e1) (e1)) = (e3)) = ((op (e1) (e1)) = (op (e0) (e1)))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_Hc8.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H6d.
% 7.87/8.05 cut (((e3) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hf6].
% 7.87/8.05 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 7.87/8.05 congruence.
% 7.87/8.05 apply zenon_H8b. apply refl_equal.
% 7.87/8.05 apply zenon_Hf6. apply sym_equal. exact zenon_H66.
% 7.87/8.05 apply zenon_H8b. apply refl_equal.
% 7.87/8.05 apply zenon_H8b. apply refl_equal.
% 7.87/8.05 (* end of lemma zenon_L104_ *)
% 7.87/8.05 assert (zenon_L105_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Hc3 zenon_H67 zenon_H1e zenon_H2c zenon_H93 zenon_H6c zenon_H54 zenon_H6d zenon_H89 zenon_Haf zenon_H95 zenon_He3 zenon_H8f.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.87/8.05 apply (zenon_L36_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.87/8.05 apply (zenon_L104_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.87/8.05 apply (zenon_L99_); trivial.
% 7.87/8.05 apply (zenon_L89_); trivial.
% 7.87/8.05 (* end of lemma zenon_L105_ *)
% 7.87/8.05 assert (zenon_L106_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (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) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Haa zenon_He3 zenon_H95 zenon_Haf zenon_H89 zenon_H6c zenon_H93 zenon_H2c zenon_H1e zenon_H67 zenon_Hc3 zenon_H5d zenon_H64 zenon_H6e zenon_H33 zenon_H25 zenon_H54 zenon_H55 zenon_H51 zenon_H8f zenon_Hde.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.05 apply (zenon_L24_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.05 apply (zenon_L105_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.05 apply (zenon_L30_); trivial.
% 7.87/8.05 apply (zenon_L91_); trivial.
% 7.87/8.05 (* end of lemma zenon_L106_ *)
% 7.87/8.05 assert (zenon_L107_ : ((op (e2) (e2)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_H9f zenon_H83 zenon_H38.
% 7.87/8.05 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 7.87/8.05 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e1) (e2)) = (op (e2) (e2)))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H38.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H39.
% 7.87/8.05 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 7.87/8.05 cut (((op (e2) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3b].
% 7.87/8.05 congruence.
% 7.87/8.05 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e1) (e2)))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H3b.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H9f.
% 7.87/8.05 cut (((e2) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 7.87/8.05 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 7.87/8.05 congruence.
% 7.87/8.05 apply zenon_H3a. apply refl_equal.
% 7.87/8.05 apply zenon_H84. apply sym_equal. exact zenon_H83.
% 7.87/8.05 apply zenon_H3a. apply refl_equal.
% 7.87/8.05 apply zenon_H3a. apply refl_equal.
% 7.87/8.05 (* end of lemma zenon_L107_ *)
% 7.87/8.05 assert (zenon_L108_ : ((op (e3) (e2)) = (e3)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Hf7 zenon_Hb0 zenon_Hf8.
% 7.87/8.05 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfa ].
% 7.87/8.05 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e0) (e2)) = (op (e3) (e2)))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_Hf8.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_Hf9.
% 7.87/8.05 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hfa].
% 7.87/8.05 cut (((op (e3) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hfb].
% 7.87/8.05 congruence.
% 7.87/8.05 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e0) (e2)))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_Hfb.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_Hf7.
% 7.87/8.05 cut (((e3) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb1].
% 7.87/8.05 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hfa].
% 7.87/8.05 congruence.
% 7.87/8.05 apply zenon_Hfa. apply refl_equal.
% 7.87/8.05 apply zenon_Hb1. apply sym_equal. exact zenon_Hb0.
% 7.87/8.05 apply zenon_Hfa. apply refl_equal.
% 7.87/8.05 apply zenon_Hfa. apply refl_equal.
% 7.87/8.05 (* end of lemma zenon_L108_ *)
% 7.87/8.05 assert (zenon_L109_ : ((op (e3) (e3)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Hfc zenon_Hfd zenon_H5e.
% 7.87/8.05 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H4a | zenon_intro zenon_H4b ].
% 7.87/8.05 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e1) (e3)) = (op (e3) (e3)))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H5e.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H4a.
% 7.87/8.05 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.87/8.05 cut (((op (e3) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 7.87/8.05 congruence.
% 7.87/8.05 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e1) (e3)))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H5f.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_Hfc.
% 7.87/8.05 cut (((e3) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hfe].
% 7.87/8.05 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.87/8.05 congruence.
% 7.87/8.05 apply zenon_H4b. apply refl_equal.
% 7.87/8.05 apply zenon_Hfe. apply sym_equal. exact zenon_Hfd.
% 7.87/8.05 apply zenon_H4b. apply refl_equal.
% 7.87/8.05 apply zenon_H4b. apply refl_equal.
% 7.87/8.05 (* end of lemma zenon_L109_ *)
% 7.87/8.05 assert (zenon_L110_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Hff zenon_H47 zenon_Hf1 zenon_He3 zenon_H64 zenon_Ha1 zenon_Hfc zenon_H5e.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H5d | zenon_intro zenon_H100 ].
% 7.87/8.05 apply (zenon_L18_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H101 ].
% 7.87/8.05 apply (zenon_L93_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hfd ].
% 7.87/8.05 apply (zenon_L45_); trivial.
% 7.87/8.05 apply (zenon_L109_); trivial.
% 7.87/8.05 (* end of lemma zenon_L110_ *)
% 7.87/8.05 assert (zenon_L111_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_H102 zenon_H93 zenon_H6c zenon_Hde zenon_H8f zenon_Hf8 zenon_Hb0 zenon_Hff zenon_H47 zenon_Hf1 zenon_He3 zenon_H64 zenon_Ha1 zenon_H5e.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H92 | zenon_intro zenon_H103 ].
% 7.87/8.05 apply (zenon_L39_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H7f | zenon_intro zenon_H104 ].
% 7.87/8.05 apply (zenon_L91_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hfc ].
% 7.87/8.05 apply (zenon_L108_); trivial.
% 7.87/8.05 apply (zenon_L110_); trivial.
% 7.87/8.05 (* end of lemma zenon_L111_ *)
% 7.87/8.05 assert (zenon_L112_ : (((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)))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_H4e zenon_H1e zenon_H3d zenon_H55 zenon_H36 zenon_H5a zenon_H102 zenon_H93 zenon_H6c zenon_Hde zenon_H8f zenon_Hf8 zenon_Hb0 zenon_Hff zenon_Hf1 zenon_He3 zenon_H64 zenon_Ha1 zenon_H5e.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.87/8.05 apply (zenon_L9_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.87/8.05 apply (zenon_L79_); trivial.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.87/8.05 apply (zenon_L16_); trivial.
% 7.87/8.05 apply (zenon_L111_); trivial.
% 7.87/8.05 (* end of lemma zenon_L112_ *)
% 7.87/8.05 assert (zenon_L113_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Hf1 zenon_Hbc zenon_Ha2.
% 7.87/8.05 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_Hf1.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_Hbc.
% 7.87/8.05 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 7.87/8.05 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H105].
% 7.87/8.05 congruence.
% 7.87/8.05 apply zenon_H105. apply refl_equal.
% 7.87/8.05 apply zenon_Ha6. apply sym_equal. exact zenon_Ha2.
% 7.87/8.05 (* end of lemma zenon_L113_ *)
% 7.87/8.05 assert (zenon_L114_ : (((op (e1) (e1)) = (e1))/\(((~((op (e0) (e1)) = (e0)))\/((op (e0) (e0)) = (e1)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e1)) = (e2)))\/((op (e2) (e2)) = (e1)))/\((~((op (e3) (e1)) = (e3)))\/((op (e3) (e3)) = (e1))))))) -> (~((op (e0) (e0)) = (e1))) -> ((op (e0) (e1)) = (e0)) -> False).
% 7.87/8.05 do 0 intro. intros zenon_H106 zenon_Hb5 zenon_H25.
% 7.87/8.05 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hc6. zenon_intro zenon_H107.
% 7.87/8.05 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H109. zenon_intro zenon_H108.
% 7.87/8.05 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H10a | zenon_intro zenon_Hb9 ].
% 7.87/8.05 exact (zenon_H10a zenon_H25).
% 7.87/8.05 exact (zenon_Hb5 zenon_Hb9).
% 7.87/8.05 (* end of lemma zenon_L114_ *)
% 7.87/8.05 assert (zenon_L115_ : ((op (e2) (e2)) = (e2)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_H9f zenon_H82 zenon_H10b.
% 7.87/8.05 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 7.87/8.05 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e0) (e2)) = (op (e2) (e2)))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H10b.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H39.
% 7.87/8.05 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 7.87/8.05 cut (((op (e2) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10c].
% 7.87/8.05 congruence.
% 7.87/8.05 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e0) (e2)))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H10c.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H9f.
% 7.87/8.05 cut (((e2) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10d].
% 7.87/8.05 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 7.87/8.05 congruence.
% 7.87/8.05 apply zenon_H3a. apply refl_equal.
% 7.87/8.05 apply zenon_H10d. apply sym_equal. exact zenon_H82.
% 7.87/8.05 apply zenon_H3a. apply refl_equal.
% 7.87/8.05 apply zenon_H3a. apply refl_equal.
% 7.87/8.05 (* end of lemma zenon_L115_ *)
% 7.87/8.05 assert (zenon_L116_ : ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e2))) -> False).
% 7.87/8.05 do 0 intro. intros zenon_Hbb zenon_H5b zenon_H99.
% 7.87/8.05 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ].
% 7.87/8.05 cut (((e2) = (e2)) = ((e1) = (e2))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H99.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_H21.
% 7.87/8.05 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.87/8.05 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 7.87/8.05 congruence.
% 7.87/8.05 cut (((op (e1) (e0)) = (e1)) = ((e2) = (e1))).
% 7.87/8.05 intro zenon_D_pnotp.
% 7.87/8.05 apply zenon_H9a.
% 7.87/8.05 rewrite <- zenon_D_pnotp.
% 7.87/8.05 exact zenon_Hbb.
% 7.87/8.05 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.87/8.05 cut (((op (e1) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 7.87/8.06 congruence.
% 7.87/8.06 exact (zenon_H5c zenon_H5b).
% 7.87/8.06 apply zenon_H57. apply refl_equal.
% 7.87/8.06 apply zenon_H22. apply refl_equal.
% 7.87/8.06 apply zenon_H22. apply refl_equal.
% 7.87/8.06 (* end of lemma zenon_L116_ *)
% 7.87/8.06 assert (zenon_L117_ : ((op (e2) (e2)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H9f zenon_H98 zenon_H10e.
% 7.87/8.06 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 7.87/8.06 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e2) (e0)) = (op (e2) (e2)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H10e.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H39.
% 7.87/8.06 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 7.87/8.06 cut (((op (e2) (e2)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H10f].
% 7.87/8.06 congruence.
% 7.87/8.06 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e2) (e0)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H10f.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H9f.
% 7.87/8.06 cut (((e2) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 7.87/8.06 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 7.87/8.06 congruence.
% 7.87/8.06 apply zenon_H3a. apply refl_equal.
% 7.87/8.06 apply zenon_H110. apply sym_equal. exact zenon_H98.
% 7.87/8.06 apply zenon_H3a. apply refl_equal.
% 7.87/8.06 apply zenon_H3a. apply refl_equal.
% 7.87/8.06 (* end of lemma zenon_L117_ *)
% 7.87/8.06 assert (zenon_L118_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e3))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H111 zenon_Hb0 zenon_H67.
% 7.87/8.06 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 7.87/8.06 cut (((e3) = (e3)) = ((e0) = (e3))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H67.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H68.
% 7.87/8.06 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.06 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 7.87/8.06 congruence.
% 7.87/8.06 cut (((op (e0) (e2)) = (e0)) = ((e3) = (e0))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H6a.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H111.
% 7.87/8.06 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.87/8.06 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 7.87/8.06 congruence.
% 7.87/8.06 exact (zenon_H112 zenon_Hb0).
% 7.87/8.06 apply zenon_H1d. apply refl_equal.
% 7.87/8.06 apply zenon_H69. apply refl_equal.
% 7.87/8.06 apply zenon_H69. apply refl_equal.
% 7.87/8.06 (* end of lemma zenon_L118_ *)
% 7.87/8.06 assert (zenon_L119_ : (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H113 zenon_H29 zenon_H37.
% 7.87/8.06 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e1) (e2)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H113.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H29.
% 7.87/8.06 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 7.87/8.06 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H114].
% 7.87/8.06 congruence.
% 7.87/8.06 apply zenon_H114. apply refl_equal.
% 7.87/8.06 apply zenon_H3c. apply sym_equal. exact zenon_H37.
% 7.87/8.06 (* end of lemma zenon_L119_ *)
% 7.87/8.06 assert (zenon_L120_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H81 zenon_Hb0 zenon_H115.
% 7.87/8.06 cut (((op (e0) (e2)) = (e3)) = ((op (e0) (e2)) = (op (e1) (e2)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H81.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_Hb0.
% 7.87/8.06 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H116].
% 7.87/8.06 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 7.87/8.06 congruence.
% 7.87/8.06 apply zenon_H85. apply refl_equal.
% 7.87/8.06 apply zenon_H116. apply sym_equal. exact zenon_H115.
% 7.87/8.06 (* end of lemma zenon_L120_ *)
% 7.87/8.06 assert (zenon_L121_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H117 zenon_H44 zenon_H43 zenon_H118 zenon_H38 zenon_H9f zenon_H81 zenon_Hb0.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H37 | zenon_intro zenon_H119 ].
% 7.87/8.06 apply (zenon_L11_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H11a ].
% 7.87/8.06 exact (zenon_H118 zenon_Hd2).
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H83 | zenon_intro zenon_H115 ].
% 7.87/8.06 apply (zenon_L107_); trivial.
% 7.87/8.06 apply (zenon_L120_); trivial.
% 7.87/8.06 (* end of lemma zenon_L121_ *)
% 7.87/8.06 assert (zenon_L122_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H11b zenon_H67 zenon_H29 zenon_H113 zenon_H20 zenon_H117 zenon_H43 zenon_H118 zenon_H38 zenon_H9f zenon_H81 zenon_Hb0.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H111 | zenon_intro zenon_H11c ].
% 7.87/8.06 apply (zenon_L118_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H37 | zenon_intro zenon_H11d ].
% 7.87/8.06 apply (zenon_L119_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H36 | zenon_intro zenon_H44 ].
% 7.87/8.06 apply (zenon_L44_); trivial.
% 7.87/8.06 apply (zenon_L121_); trivial.
% 7.87/8.06 (* end of lemma zenon_L122_ *)
% 7.87/8.06 assert (zenon_L123_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e3)) -> (~((e0) = (e3))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H31 zenon_H8e zenon_H67.
% 7.87/8.06 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 7.87/8.06 cut (((e3) = (e3)) = ((e0) = (e3))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H67.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H68.
% 7.87/8.06 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.06 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 7.87/8.06 congruence.
% 7.87/8.06 cut (((op (e2) (e0)) = (e0)) = ((e3) = (e0))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H6a.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H31.
% 7.87/8.06 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.87/8.06 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H91].
% 7.87/8.06 congruence.
% 7.87/8.06 exact (zenon_H91 zenon_H8e).
% 7.87/8.06 apply zenon_H1d. apply refl_equal.
% 7.87/8.06 apply zenon_H69. apply refl_equal.
% 7.87/8.06 apply zenon_H69. apply refl_equal.
% 7.87/8.06 (* end of lemma zenon_L123_ *)
% 7.87/8.06 assert (zenon_L124_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e3)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e1)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H51 zenon_H67 zenon_H8e zenon_H25 zenon_H33 zenon_H6e zenon_H70 zenon_H64 zenon_H5d.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.87/8.06 apply (zenon_L123_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.87/8.06 apply (zenon_L7_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 7.87/8.06 apply (zenon_L29_); trivial.
% 7.87/8.06 apply (zenon_L21_); trivial.
% 7.87/8.06 (* end of lemma zenon_L124_ *)
% 7.87/8.06 assert (zenon_L125_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e0)) = (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 (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (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) (e2)) = (op (e3) (e2)))) -> (~((e0) = (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) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Haa zenon_H6c zenon_H6e zenon_H8e zenon_H51 zenon_H30 zenon_H33 zenon_H5e zenon_H38 zenon_H2c zenon_H25 zenon_H28 zenon_H1e zenon_H61 zenon_H5a zenon_H67 zenon_H3d zenon_H4e zenon_H64 zenon_H5d.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.06 apply (zenon_L24_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.06 apply (zenon_L26_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.06 apply (zenon_L124_); trivial.
% 7.87/8.06 apply (zenon_L34_); trivial.
% 7.87/8.06 (* end of lemma zenon_L125_ *)
% 7.87/8.06 assert (zenon_L126_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (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 (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H11e zenon_H99 zenon_Hbb zenon_H5d zenon_H64 zenon_H4e zenon_H3d zenon_H67 zenon_H5a zenon_H61 zenon_H1e zenon_H28 zenon_H25 zenon_H2c zenon_H5e zenon_H33 zenon_H30 zenon_H51 zenon_H8e zenon_H6c zenon_Haa zenon_H38 zenon_H9f zenon_Hf1 zenon_Hbc.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.87/8.06 apply (zenon_L116_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.87/8.06 apply (zenon_L125_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.87/8.06 apply (zenon_L107_); trivial.
% 7.87/8.06 apply (zenon_L113_); trivial.
% 7.87/8.06 (* end of lemma zenon_L126_ *)
% 7.87/8.06 assert (zenon_L127_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((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))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((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)))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H61 zenon_H28 zenon_H2c zenon_H49 zenon_H43 zenon_H40 zenon_H3d zenon_H1e zenon_H4e zenon_H38 zenon_H30 zenon_H51 zenon_H55 zenon_H54 zenon_H25 zenon_H33 zenon_H20 zenon_H9f zenon_H64.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.87/8.06 apply (zenon_L4_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.87/8.06 apply (zenon_L5_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.87/8.06 apply (zenon_L14_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.87/8.06 apply (zenon_L15_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.87/8.06 apply (zenon_L7_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 7.87/8.06 apply (zenon_L44_); trivial.
% 7.87/8.06 apply (zenon_L21_); trivial.
% 7.87/8.06 (* end of lemma zenon_L127_ *)
% 7.87/8.06 assert (zenon_L128_ : ((op (e1) (e1)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H6e zenon_H26 zenon_H2c.
% 7.87/8.06 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_H8a | zenon_intro zenon_H8b ].
% 7.87/8.06 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (e0) (e1)) = (op (e1) (e1)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H2c.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H8a.
% 7.87/8.06 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 7.87/8.06 cut (((op (e1) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hc8].
% 7.87/8.06 congruence.
% 7.87/8.06 cut (((op (e1) (e1)) = (e2)) = ((op (e1) (e1)) = (op (e0) (e1)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_Hc8.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H6e.
% 7.87/8.06 cut (((e2) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H121].
% 7.87/8.06 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 7.87/8.06 congruence.
% 7.87/8.06 apply zenon_H8b. apply refl_equal.
% 7.87/8.06 apply zenon_H121. apply sym_equal. exact zenon_H26.
% 7.87/8.06 apply zenon_H8b. apply refl_equal.
% 7.87/8.06 apply zenon_H8b. apply refl_equal.
% 7.87/8.06 (* end of lemma zenon_L128_ *)
% 7.87/8.06 assert (zenon_L129_ : (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H122 zenon_H98 zenon_H10e.
% 7.87/8.06 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H9f. zenon_intro zenon_H123.
% 7.87/8.06 apply (zenon_L117_); trivial.
% 7.87/8.06 (* end of lemma zenon_L129_ *)
% 7.87/8.06 assert (zenon_L130_ : (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e0)) = (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 (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (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) (e2)) = (op (e3) (e2)))) -> (~((e0) = (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) (e3)) = (op (e2) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H49 zenon_H43 zenon_H40 zenon_Haa zenon_H6c zenon_H6e zenon_H8e zenon_H51 zenon_H30 zenon_H33 zenon_H5e zenon_H38 zenon_H2c zenon_H25 zenon_H28 zenon_H1e zenon_H61 zenon_H5a zenon_H67 zenon_H3d zenon_H4e zenon_H64.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.87/8.06 apply (zenon_L4_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.87/8.06 apply (zenon_L5_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.87/8.06 apply (zenon_L14_); trivial.
% 7.87/8.06 apply (zenon_L125_); trivial.
% 7.87/8.06 (* end of lemma zenon_L130_ *)
% 7.87/8.06 assert (zenon_L131_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (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 (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H95 zenon_Hb0 zenon_Haf zenon_H8f zenon_Hbb zenon_H64 zenon_H4e zenon_H3d zenon_H67 zenon_H5a zenon_H61 zenon_H1e zenon_H28 zenon_H25 zenon_H2c zenon_H38 zenon_H5e zenon_H33 zenon_H30 zenon_H51 zenon_H6e zenon_Haa zenon_H40 zenon_H43 zenon_H49 zenon_H6c zenon_H93.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.87/8.06 apply (zenon_L49_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.87/8.06 apply (zenon_L66_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.87/8.06 apply (zenon_L130_); trivial.
% 7.87/8.06 apply (zenon_L39_); trivial.
% 7.87/8.06 (* end of lemma zenon_L131_ *)
% 7.87/8.06 assert (zenon_L132_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (((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 (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (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) (e2)) = (op (e3) (e2)))) -> (~((e0) = (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) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H124 zenon_H10b zenon_H9f zenon_Hec zenon_H20 zenon_H99 zenon_H10e zenon_H122 zenon_Hc3 zenon_H49 zenon_H43 zenon_H40 zenon_Haa zenon_H6e zenon_H51 zenon_H30 zenon_H33 zenon_H5e zenon_H38 zenon_H2c zenon_H25 zenon_H28 zenon_H1e zenon_H61 zenon_H5a zenon_H67 zenon_H3d zenon_H4e zenon_H64 zenon_Hbb zenon_H8f zenon_Haf zenon_H95 zenon_H6c.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.87/8.06 apply (zenon_L2_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.87/8.06 apply (zenon_L128_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.87/8.06 apply (zenon_L115_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.87/8.06 apply (zenon_L2_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.87/8.06 apply (zenon_L116_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.87/8.06 apply (zenon_L129_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.87/8.06 apply (zenon_L36_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.87/8.06 apply (zenon_L24_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.87/8.06 apply (zenon_L131_); trivial.
% 7.87/8.06 apply (zenon_L57_); trivial.
% 7.87/8.06 (* end of lemma zenon_L132_ *)
% 7.87/8.06 assert (zenon_L133_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H117 zenon_H44 zenon_H43 zenon_Hcf zenon_H38 zenon_H9f zenon_H81 zenon_Hb0.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H37 | zenon_intro zenon_H119 ].
% 7.87/8.06 apply (zenon_L11_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H11a ].
% 7.87/8.06 apply (zenon_L68_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H83 | zenon_intro zenon_H115 ].
% 7.87/8.06 apply (zenon_L107_); trivial.
% 7.87/8.06 apply (zenon_L120_); trivial.
% 7.87/8.06 (* end of lemma zenon_L133_ *)
% 7.87/8.06 assert (zenon_L134_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H11b zenon_H127 zenon_H29 zenon_H113 zenon_H20 zenon_H117 zenon_H43 zenon_Hcf zenon_H38 zenon_H9f zenon_H81 zenon_Hb0.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H111 | zenon_intro zenon_H11c ].
% 7.87/8.06 exact (zenon_H127 zenon_H111).
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H37 | zenon_intro zenon_H11d ].
% 7.87/8.06 apply (zenon_L119_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H36 | zenon_intro zenon_H44 ].
% 7.87/8.06 apply (zenon_L44_); trivial.
% 7.87/8.06 apply (zenon_L133_); trivial.
% 7.87/8.06 (* end of lemma zenon_L134_ *)
% 7.87/8.06 assert (zenon_L135_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((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 (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((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 (e1) (e3)) = (op (e2) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Hb6 zenon_Hb5 zenon_H122 zenon_H10e zenon_H6c zenon_H95 zenon_Haf zenon_Hf1 zenon_He3 zenon_Haa zenon_H67 zenon_H89 zenon_H6e zenon_He7 zenon_H99 zenon_He4 zenon_Hd8 zenon_H20 zenon_H8f zenon_Hc3 zenon_Hec zenon_H9f zenon_H10b zenon_H124 zenon_H49 zenon_H43 zenon_H3d zenon_H51 zenon_H30 zenon_H33 zenon_H5e zenon_H5a zenon_H40 zenon_H25 zenon_H55 zenon_H4e zenon_H38 zenon_H2c zenon_H28 zenon_H1e zenon_H61 zenon_H64.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 7.87/8.06 exact (zenon_Hb5 zenon_Hb9).
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.87/8.06 apply (zenon_L2_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.87/8.06 apply (zenon_L84_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.87/8.06 apply (zenon_L129_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.87/8.06 apply (zenon_L36_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.87/8.06 apply (zenon_L24_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.87/8.06 apply (zenon_L131_); trivial.
% 7.87/8.06 apply (zenon_L89_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.87/8.06 apply (zenon_L2_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.87/8.06 apply (zenon_L128_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.87/8.06 apply (zenon_L115_); trivial.
% 7.87/8.06 apply (zenon_L96_); trivial.
% 7.87/8.06 apply (zenon_L60_); trivial.
% 7.87/8.06 (* end of lemma zenon_L135_ *)
% 7.87/8.06 assert (zenon_L136_ : ((op (e2) (e0)) = (e2)) -> ((op (e2) (e0)) = (e3)) -> (~((e2) = (e3))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H98 zenon_H8e zenon_H6c.
% 7.87/8.06 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 7.87/8.06 cut (((e3) = (e3)) = ((e2) = (e3))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H6c.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H68.
% 7.87/8.06 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.06 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9d].
% 7.87/8.06 congruence.
% 7.87/8.06 cut (((op (e2) (e0)) = (e2)) = ((e3) = (e2))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H9d.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H98.
% 7.87/8.06 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.87/8.06 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H91].
% 7.87/8.06 congruence.
% 7.87/8.06 exact (zenon_H91 zenon_H8e).
% 7.87/8.06 apply zenon_H22. apply refl_equal.
% 7.87/8.06 apply zenon_H69. apply refl_equal.
% 7.87/8.06 apply zenon_H69. apply refl_equal.
% 7.87/8.06 (* end of lemma zenon_L136_ *)
% 7.87/8.06 assert (zenon_L137_ : ((op (e3) (e3)) = (e3)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Hfc zenon_H92 zenon_H128.
% 7.87/8.06 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H4a | zenon_intro zenon_H4b ].
% 7.87/8.06 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e0)) = (op (e3) (e3)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H128.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H4a.
% 7.87/8.06 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.87/8.06 cut (((op (e3) (e3)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H129].
% 7.87/8.06 congruence.
% 7.87/8.06 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e3) (e0)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H129.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_Hfc.
% 7.87/8.06 cut (((e3) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H12a].
% 7.87/8.06 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.87/8.06 congruence.
% 7.87/8.06 apply zenon_H4b. apply refl_equal.
% 7.87/8.06 apply zenon_H12a. apply sym_equal. exact zenon_H92.
% 7.87/8.06 apply zenon_H4b. apply refl_equal.
% 7.87/8.06 apply zenon_H4b. apply refl_equal.
% 7.87/8.06 (* end of lemma zenon_L137_ *)
% 7.87/8.06 assert (zenon_L138_ : (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H12b zenon_H92 zenon_H128.
% 7.87/8.06 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hfc. zenon_intro zenon_H12c.
% 7.87/8.06 apply (zenon_L137_); trivial.
% 7.87/8.06 (* end of lemma zenon_L138_ *)
% 7.87/8.06 assert (zenon_L139_ : ((op (e3) (e3)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Hfc zenon_H7f zenon_H12d.
% 7.87/8.06 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H4a | zenon_intro zenon_H4b ].
% 7.87/8.06 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e1)) = (op (e3) (e3)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H12d.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H4a.
% 7.87/8.06 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.87/8.06 cut (((op (e3) (e3)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H12e].
% 7.87/8.06 congruence.
% 7.87/8.06 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e3) (e1)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H12e.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_Hfc.
% 7.87/8.06 cut (((e3) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H12f].
% 7.87/8.06 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.87/8.06 congruence.
% 7.87/8.06 apply zenon_H4b. apply refl_equal.
% 7.87/8.06 apply zenon_H12f. apply sym_equal. exact zenon_H7f.
% 7.87/8.06 apply zenon_H4b. apply refl_equal.
% 7.87/8.06 apply zenon_H4b. apply refl_equal.
% 7.87/8.06 (* end of lemma zenon_L139_ *)
% 7.87/8.06 assert (zenon_L140_ : (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H12b zenon_H7f zenon_H12d.
% 7.87/8.06 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hfc. zenon_intro zenon_H12c.
% 7.87/8.06 apply (zenon_L139_); trivial.
% 7.87/8.06 (* end of lemma zenon_L140_ *)
% 7.87/8.06 assert (zenon_L141_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e2)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((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 (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Haa zenon_H67 zenon_H6e zenon_H6c zenon_H5d zenon_H64 zenon_Hcc zenon_H25 zenon_H2c zenon_Hc7 zenon_Hca zenon_H33 zenon_H30 zenon_H1e zenon_H51 zenon_H12b zenon_H12d.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.06 apply (zenon_L24_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.06 apply (zenon_L26_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.06 apply (zenon_L102_); trivial.
% 7.87/8.06 apply (zenon_L140_); trivial.
% 7.87/8.06 (* end of lemma zenon_L141_ *)
% 7.87/8.06 assert (zenon_L142_ : (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H130 zenon_H6e zenon_Ha2.
% 7.87/8.06 cut (((op (e1) (e1)) = (e2)) = ((op (e1) (e1)) = (op (e1) (e3)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H130.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H6e.
% 7.87/8.06 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 7.87/8.06 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 7.87/8.06 congruence.
% 7.87/8.06 apply zenon_H8b. apply refl_equal.
% 7.87/8.06 apply zenon_Ha6. apply sym_equal. exact zenon_Ha2.
% 7.87/8.06 (* end of lemma zenon_L142_ *)
% 7.87/8.06 assert (zenon_L143_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H131 zenon_H41 zenon_H44.
% 7.87/8.06 cut (((op (e3) (e1)) = (e0)) = ((op (e3) (e1)) = (op (e3) (e2)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H131.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H41.
% 7.87/8.06 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 7.87/8.06 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H132].
% 7.87/8.06 congruence.
% 7.87/8.06 apply zenon_H132. apply refl_equal.
% 7.87/8.06 apply zenon_H45. apply sym_equal. exact zenon_H44.
% 7.87/8.06 (* end of lemma zenon_L143_ *)
% 7.87/8.06 assert (zenon_L144_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H40 zenon_Hc7 zenon_Hde.
% 7.87/8.06 cut (((op (e0) (e1)) = (e1)) = ((op (e0) (e1)) = (op (e3) (e1)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H40.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_Hc7.
% 7.87/8.06 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H133].
% 7.87/8.06 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 7.87/8.06 congruence.
% 7.87/8.06 apply zenon_H2f. apply refl_equal.
% 7.87/8.06 apply zenon_H133. apply sym_equal. exact zenon_Hde.
% 7.87/8.06 (* end of lemma zenon_L144_ *)
% 7.87/8.06 assert (zenon_L145_ : (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H134 zenon_H9c zenon_Hdc.
% 7.87/8.06 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e3) (e1)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H134.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H9c.
% 7.87/8.06 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H135].
% 7.87/8.06 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H136].
% 7.87/8.06 congruence.
% 7.87/8.06 apply zenon_H136. apply refl_equal.
% 7.87/8.06 apply zenon_H135. apply sym_equal. exact zenon_Hdc.
% 7.87/8.06 (* end of lemma zenon_L145_ *)
% 7.87/8.06 assert (zenon_L146_ : (((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 (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H137 zenon_H44 zenon_H131 zenon_Hc7 zenon_H40 zenon_H9c zenon_H134 zenon_Hfc zenon_H12d.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H41 | zenon_intro zenon_H138 ].
% 7.87/8.06 apply (zenon_L143_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hde | zenon_intro zenon_H139 ].
% 7.87/8.06 apply (zenon_L144_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hdc | zenon_intro zenon_H7f ].
% 7.87/8.06 apply (zenon_L145_); trivial.
% 7.87/8.06 apply (zenon_L139_); trivial.
% 7.87/8.06 (* end of lemma zenon_L146_ *)
% 7.87/8.06 assert (zenon_L147_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e2)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (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) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H4e zenon_H20 zenon_H93 zenon_H25 zenon_H12d zenon_Hfc zenon_H134 zenon_H9c zenon_H40 zenon_Hc7 zenon_H131 zenon_H137 zenon_H5d zenon_H5e.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.87/8.06 apply (zenon_L77_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.87/8.06 apply (zenon_L10_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.87/8.06 apply (zenon_L146_); trivial.
% 7.87/8.06 apply (zenon_L18_); trivial.
% 7.87/8.06 (* end of lemma zenon_L147_ *)
% 7.87/8.06 assert (zenon_L148_ : (((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)))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e3)) = (e2))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Ha7 zenon_H6c zenon_H8e zenon_Hdc zenon_H134 zenon_H20 zenon_H36 zenon_H13a.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H98 | zenon_intro zenon_Ha8 ].
% 7.87/8.06 apply (zenon_L136_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9c | zenon_intro zenon_Ha9 ].
% 7.87/8.06 apply (zenon_L145_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha1 ].
% 7.87/8.06 apply (zenon_L44_); trivial.
% 7.87/8.06 exact (zenon_H13a zenon_Ha1).
% 7.87/8.06 (* end of lemma zenon_L148_ *)
% 7.87/8.06 assert (zenon_L149_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (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 (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H51 zenon_H67 zenon_H25 zenon_H33 zenon_H13a zenon_H20 zenon_H134 zenon_Hdc zenon_H8e zenon_H6c zenon_Ha7 zenon_H64 zenon_H5d.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.87/8.06 apply (zenon_L123_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.87/8.06 apply (zenon_L7_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 7.87/8.06 apply (zenon_L148_); trivial.
% 7.87/8.06 apply (zenon_L21_); trivial.
% 7.87/8.06 (* end of lemma zenon_L149_ *)
% 7.87/8.06 assert (zenon_L150_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (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)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (((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))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (e2))) -> (~((e0) = (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 (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H13b zenon_Ha2 zenon_H130 zenon_H5e zenon_H137 zenon_H131 zenon_Hc7 zenon_H40 zenon_Hfc zenon_H12d zenon_H93 zenon_H4e zenon_H51 zenon_H67 zenon_H25 zenon_H33 zenon_H13a zenon_H20 zenon_H134 zenon_H8e zenon_H6c zenon_Ha7 zenon_H64 zenon_H5d.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.06 apply (zenon_L3_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.06 apply (zenon_L142_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.06 apply (zenon_L147_); trivial.
% 7.87/8.06 apply (zenon_L149_); trivial.
% 7.87/8.06 (* end of lemma zenon_L150_ *)
% 7.87/8.06 assert (zenon_L151_ : (((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)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H95 zenon_H67 zenon_H1e zenon_H89 zenon_H6d zenon_H6c zenon_H98 zenon_H12b zenon_H128.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.87/8.06 apply (zenon_L36_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.87/8.06 apply (zenon_L37_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.87/8.06 apply (zenon_L136_); trivial.
% 7.87/8.06 apply (zenon_L138_); trivial.
% 7.87/8.06 (* end of lemma zenon_L151_ *)
% 7.87/8.06 assert (zenon_L152_ : (((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 (e0) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (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)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H4e zenon_H1e zenon_H3d zenon_H25 zenon_H12d zenon_Hfc zenon_H134 zenon_H9c zenon_H40 zenon_Hc7 zenon_H131 zenon_H137 zenon_H48 zenon_H49.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.87/8.06 apply (zenon_L9_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.87/8.06 apply (zenon_L10_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.87/8.06 apply (zenon_L146_); trivial.
% 7.87/8.06 apply (zenon_L12_); trivial.
% 7.87/8.06 (* end of lemma zenon_L152_ *)
% 7.87/8.06 assert (zenon_L153_ : (((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 (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Ha7 zenon_H6c zenon_H8e zenon_Hdc zenon_H134 zenon_H10b zenon_H82 zenon_H13a.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H98 | zenon_intro zenon_Ha8 ].
% 7.87/8.06 apply (zenon_L136_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9c | zenon_intro zenon_Ha9 ].
% 7.87/8.06 apply (zenon_L145_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha1 ].
% 7.87/8.06 apply (zenon_L115_); trivial.
% 7.87/8.06 exact (zenon_H13a zenon_Ha1).
% 7.87/8.06 (* end of lemma zenon_L153_ *)
% 7.87/8.06 assert (zenon_L154_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H95 zenon_Hb0 zenon_Haf zenon_H89 zenon_H6d zenon_H8f zenon_H54 zenon_Hfc zenon_H128.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.87/8.06 apply (zenon_L49_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.87/8.06 apply (zenon_L37_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.87/8.06 apply (zenon_L38_); trivial.
% 7.87/8.06 apply (zenon_L137_); trivial.
% 7.87/8.06 (* end of lemma zenon_L154_ *)
% 7.87/8.06 assert (zenon_L155_ : ((op (e2) (e2)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H36 zenon_H13e zenon_H55.
% 7.87/8.06 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H56 | zenon_intro zenon_H57 ].
% 7.87/8.06 cut (((e1) = (e1)) = ((e0) = (e1))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H55.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H56.
% 7.87/8.06 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.87/8.06 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 7.87/8.06 congruence.
% 7.87/8.06 cut (((op (e2) (e2)) = (e0)) = ((e1) = (e0))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H58.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H36.
% 7.87/8.06 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.87/8.06 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 7.87/8.06 congruence.
% 7.87/8.06 exact (zenon_H13f zenon_H13e).
% 7.87/8.06 apply zenon_H1d. apply refl_equal.
% 7.87/8.06 apply zenon_H57. apply refl_equal.
% 7.87/8.06 apply zenon_H57. apply refl_equal.
% 7.87/8.06 (* end of lemma zenon_L155_ *)
% 7.87/8.06 assert (zenon_L156_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H64 zenon_Hd6 zenon_H140.
% 7.87/8.06 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e2) (e3)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H64.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_Hd6.
% 7.87/8.06 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H141].
% 7.87/8.06 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H65].
% 7.87/8.06 congruence.
% 7.87/8.06 apply zenon_H65. apply refl_equal.
% 7.87/8.06 apply zenon_H141. apply sym_equal. exact zenon_H140.
% 7.87/8.06 (* end of lemma zenon_L156_ *)
% 7.87/8.06 assert (zenon_L157_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> (~((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).
% 7.87/8.06 do 0 intro. intros zenon_Hff zenon_H47 zenon_H140 zenon_H64 zenon_Hbc zenon_Hf1 zenon_Hfc zenon_H5e.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H5d | zenon_intro zenon_H100 ].
% 7.87/8.06 apply (zenon_L18_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H101 ].
% 7.87/8.06 apply (zenon_L156_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hfd ].
% 7.87/8.06 apply (zenon_L113_); trivial.
% 7.87/8.06 apply (zenon_L109_); trivial.
% 7.87/8.06 (* end of lemma zenon_L157_ *)
% 7.87/8.06 assert (zenon_L158_ : (((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 (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e1)) -> (~((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).
% 7.87/8.06 do 0 intro. intros zenon_H4e zenon_H1e zenon_H3d zenon_H25 zenon_H40 zenon_H36 zenon_H5a zenon_Hff zenon_H140 zenon_H64 zenon_Hbc zenon_Hf1 zenon_Hfc zenon_H5e.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.87/8.06 apply (zenon_L9_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.87/8.06 apply (zenon_L10_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.87/8.06 apply (zenon_L16_); trivial.
% 7.87/8.06 apply (zenon_L157_); trivial.
% 7.87/8.06 (* end of lemma zenon_L158_ *)
% 7.87/8.06 assert (zenon_L159_ : (((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) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((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 (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H142 zenon_H128 zenon_H8f zenon_H6d zenon_H89 zenon_Haf zenon_Hb0 zenon_H95 zenon_H9c zenon_H99 zenon_H55 zenon_H4e zenon_H1e zenon_H3d zenon_H25 zenon_H40 zenon_H36 zenon_H5a zenon_Hff zenon_H64 zenon_Hbc zenon_Hf1 zenon_Hfc zenon_H5e.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 7.87/8.06 apply (zenon_L154_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 7.87/8.06 apply (zenon_L97_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 7.87/8.06 apply (zenon_L155_); trivial.
% 7.87/8.06 apply (zenon_L158_); trivial.
% 7.87/8.06 (* end of lemma zenon_L159_ *)
% 7.87/8.06 assert (zenon_L160_ : (((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 (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((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 (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 (e0) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (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)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H51 zenon_H30 zenon_H33 zenon_H5e zenon_Hf1 zenon_Hbc zenon_H64 zenon_Hff zenon_H5a zenon_H55 zenon_H99 zenon_H95 zenon_Hb0 zenon_Haf zenon_H89 zenon_H6d zenon_H8f zenon_H128 zenon_H142 zenon_H4e zenon_H1e zenon_H3d zenon_H25 zenon_H12d zenon_Hfc zenon_H134 zenon_H9c zenon_H40 zenon_Hc7 zenon_H131 zenon_H137 zenon_H49.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.87/8.06 apply (zenon_L6_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.87/8.06 apply (zenon_L7_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 7.87/8.06 apply (zenon_L159_); trivial.
% 7.87/8.06 apply (zenon_L152_); trivial.
% 7.87/8.06 (* end of lemma zenon_L160_ *)
% 7.87/8.06 assert (zenon_L161_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H95 zenon_Hb0 zenon_Haf zenon_H89 zenon_H6d zenon_H6c zenon_H98 zenon_Hfc zenon_H128.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.87/8.06 apply (zenon_L49_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.87/8.06 apply (zenon_L37_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.87/8.06 apply (zenon_L136_); trivial.
% 7.87/8.06 apply (zenon_L137_); trivial.
% 7.87/8.06 (* end of lemma zenon_L161_ *)
% 7.87/8.06 assert (zenon_L162_ : (((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)) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Ha7 zenon_H128 zenon_Hfc zenon_H6c zenon_H6d zenon_H89 zenon_Haf zenon_Hb0 zenon_H95 zenon_Hdc zenon_H134 zenon_H38 zenon_H83 zenon_H13a.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H98 | zenon_intro zenon_Ha8 ].
% 7.87/8.06 apply (zenon_L161_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9c | zenon_intro zenon_Ha9 ].
% 7.87/8.06 apply (zenon_L145_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha1 ].
% 7.87/8.06 apply (zenon_L107_); trivial.
% 7.87/8.06 exact (zenon_H13a zenon_Ha1).
% 7.87/8.06 (* end of lemma zenon_L162_ *)
% 7.87/8.06 assert (zenon_L163_ : (((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)) = (e3)) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H95 zenon_H67 zenon_H1e zenon_H89 zenon_H6d zenon_H8f zenon_H54 zenon_Hfc zenon_H128.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.87/8.06 apply (zenon_L36_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.87/8.06 apply (zenon_L37_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.87/8.06 apply (zenon_L38_); trivial.
% 7.87/8.06 apply (zenon_L137_); trivial.
% 7.87/8.06 (* end of lemma zenon_L163_ *)
% 7.87/8.06 assert (zenon_L164_ : (~((e0) = (e3))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H67 zenon_H6d zenon_H2d.
% 7.87/8.06 cut (((op (e1) (e1)) = (e3)) = ((e0) = (e3))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H67.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H6d.
% 7.87/8.06 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.06 cut (((op (e1) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Heb].
% 7.87/8.06 congruence.
% 7.87/8.06 exact (zenon_Heb zenon_H2d).
% 7.87/8.06 apply zenon_H69. apply refl_equal.
% 7.87/8.06 (* end of lemma zenon_L164_ *)
% 7.87/8.06 assert (zenon_L165_ : (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H55 zenon_Hd2 zenon_H37.
% 7.87/8.06 cut (((op (e1) (e2)) = (e1)) = ((e0) = (e1))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H55.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_Hd2.
% 7.87/8.06 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.87/8.06 cut (((op (e1) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H145].
% 7.87/8.06 congruence.
% 7.87/8.06 exact (zenon_H145 zenon_H37).
% 7.87/8.06 apply zenon_H57. apply refl_equal.
% 7.87/8.06 (* end of lemma zenon_L165_ *)
% 7.87/8.06 assert (zenon_L166_ : (((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)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H61 zenon_H1e zenon_H28 zenon_H6d zenon_H67 zenon_H38 zenon_H36 zenon_H55 zenon_Hd6.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.87/8.06 apply (zenon_L4_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.87/8.06 apply (zenon_L164_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.87/8.06 apply (zenon_L8_); trivial.
% 7.87/8.06 apply (zenon_L69_); trivial.
% 7.87/8.06 (* end of lemma zenon_L166_ *)
% 7.87/8.06 assert (zenon_L167_ : (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e0)) = (e1)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H8f zenon_H92 zenon_Hb2.
% 7.87/8.06 cut (((op (e3) (e0)) = (e3)) = ((e1) = (e3))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H8f.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H92.
% 7.87/8.06 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.06 cut (((op (e3) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb3].
% 7.87/8.06 congruence.
% 7.87/8.06 exact (zenon_Hb3 zenon_Hb2).
% 7.87/8.06 apply zenon_H69. apply refl_equal.
% 7.87/8.06 (* end of lemma zenon_L167_ *)
% 7.87/8.06 assert (zenon_L168_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H33 zenon_Hc7 zenon_Hf4.
% 7.87/8.06 cut (((op (e0) (e1)) = (e1)) = ((op (e0) (e1)) = (op (e2) (e1)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H33.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_Hc7.
% 7.87/8.06 cut (((e1) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H146].
% 7.87/8.06 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 7.87/8.06 congruence.
% 7.87/8.06 apply zenon_H2f. apply refl_equal.
% 7.87/8.06 apply zenon_H146. apply sym_equal. exact zenon_Hf4.
% 7.87/8.06 (* end of lemma zenon_L168_ *)
% 7.87/8.06 assert (zenon_L169_ : (~((e1) = (e2))) -> ((op (e2) (e2)) = (e2)) -> ((op (e2) (e2)) = (e1)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H99 zenon_H9f zenon_H13e.
% 7.87/8.06 cut (((op (e2) (e2)) = (e2)) = ((e1) = (e2))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H99.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H9f.
% 7.87/8.06 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.87/8.06 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 7.87/8.06 congruence.
% 7.87/8.06 exact (zenon_H13f zenon_H13e).
% 7.87/8.06 apply zenon_H22. apply refl_equal.
% 7.87/8.06 (* end of lemma zenon_L169_ *)
% 7.87/8.06 assert (zenon_L170_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Hff zenon_H48 zenon_H140 zenon_H64 zenon_Hbc zenon_Hf1 zenon_Hfc zenon_H5e.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H5d | zenon_intro zenon_H100 ].
% 7.87/8.06 apply (zenon_L21_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H101 ].
% 7.87/8.06 apply (zenon_L156_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hfd ].
% 7.87/8.06 apply (zenon_L113_); trivial.
% 7.87/8.06 apply (zenon_L109_); trivial.
% 7.87/8.06 (* end of lemma zenon_L170_ *)
% 7.87/8.06 assert (zenon_L171_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e2) (e3)) = (op (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 (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((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) (e3)) = (e2))) -> (~((e1) = (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 (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).
% 7.87/8.06 do 0 intro. intros zenon_H13b zenon_H5b zenon_H49 zenon_H137 zenon_H131 zenon_H40 zenon_H12d zenon_H3d zenon_H1e zenon_H4e zenon_H128 zenon_H6d zenon_H89 zenon_Haf zenon_Hb0 zenon_H95 zenon_H55 zenon_H5a zenon_H30 zenon_H51 zenon_H67 zenon_H25 zenon_H20 zenon_H142 zenon_H8f zenon_Hc7 zenon_H33 zenon_H13a zenon_H99 zenon_H134 zenon_H8e zenon_H6c zenon_Ha7 zenon_Hff zenon_H64 zenon_Hbc zenon_Hf1 zenon_Hfc zenon_H5e.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.06 apply (zenon_L3_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.06 apply (zenon_L84_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.06 apply (zenon_L160_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.87/8.06 apply (zenon_L123_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.87/8.06 apply (zenon_L7_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 7.87/8.06 apply (zenon_L148_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 7.87/8.06 apply (zenon_L38_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 7.87/8.06 apply (zenon_L168_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H98 | zenon_intro zenon_Ha8 ].
% 7.87/8.06 apply (zenon_L136_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9c | zenon_intro zenon_Ha9 ].
% 7.87/8.06 apply (zenon_L145_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha1 ].
% 7.87/8.06 apply (zenon_L169_); trivial.
% 7.87/8.06 exact (zenon_H13a zenon_Ha1).
% 7.87/8.06 apply (zenon_L170_); trivial.
% 7.87/8.06 (* end of lemma zenon_L171_ *)
% 7.87/8.06 assert (zenon_L172_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Hc3 zenon_H67 zenon_H1e zenon_H2c zenon_H128 zenon_Hfc zenon_H98 zenon_H6d zenon_H89 zenon_Haf zenon_H95 zenon_Hbc zenon_H6c.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.87/8.06 apply (zenon_L36_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.87/8.06 apply (zenon_L104_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.87/8.06 apply (zenon_L161_); trivial.
% 7.87/8.06 apply (zenon_L57_); trivial.
% 7.87/8.06 (* end of lemma zenon_L172_ *)
% 7.87/8.06 assert (zenon_L173_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Hc3 zenon_H67 zenon_H1e zenon_H2c zenon_H128 zenon_Hfc zenon_H54 zenon_H8f zenon_H6d zenon_H89 zenon_Haf zenon_H95 zenon_Hbc zenon_H6c.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.87/8.06 apply (zenon_L36_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.87/8.06 apply (zenon_L104_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.87/8.06 apply (zenon_L154_); trivial.
% 7.87/8.06 apply (zenon_L57_); trivial.
% 7.87/8.06 (* end of lemma zenon_L173_ *)
% 7.87/8.06 assert (zenon_L174_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e2))) -> ((op (e0) (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 (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H124 zenon_H20 zenon_H25 zenon_H99 zenon_Hcf zenon_Hc3 zenon_H67 zenon_H1e zenon_H2c zenon_H128 zenon_Hfc zenon_H54 zenon_H8f zenon_H6d zenon_H89 zenon_Haf zenon_H95 zenon_H6c.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.87/8.06 apply (zenon_L2_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.87/8.06 apply (zenon_L3_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.87/8.06 apply (zenon_L65_); trivial.
% 7.87/8.06 apply (zenon_L173_); trivial.
% 7.87/8.06 (* end of lemma zenon_L174_ *)
% 7.87/8.06 assert (zenon_L175_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H10b zenon_Hcf zenon_H13e.
% 7.87/8.06 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e2) (e2)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H10b.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_Hcf.
% 7.87/8.06 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H147].
% 7.87/8.06 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 7.87/8.06 congruence.
% 7.87/8.06 apply zenon_H85. apply refl_equal.
% 7.87/8.06 apply zenon_H147. apply sym_equal. exact zenon_H13e.
% 7.87/8.06 (* end of lemma zenon_L175_ *)
% 7.87/8.06 assert (zenon_L176_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H13b zenon_H5e zenon_Hf1 zenon_Hbc zenon_H64 zenon_Hff zenon_H10b zenon_Hcf zenon_H99 zenon_H124 zenon_H20 zenon_H25 zenon_Hc3 zenon_H67 zenon_H1e zenon_H2c zenon_H8f zenon_H142 zenon_H55 zenon_H4e zenon_H3d zenon_H40 zenon_H5a zenon_H33 zenon_H8e zenon_H51 zenon_Ha7 zenon_H128 zenon_Hfc zenon_H6c zenon_H6d zenon_H89 zenon_Haf zenon_Hb0 zenon_H95 zenon_H134 zenon_H38 zenon_H83 zenon_H13a.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.06 apply (zenon_L3_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.06 apply (zenon_L26_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.87/8.06 apply (zenon_L123_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.87/8.06 apply (zenon_L7_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 7.87/8.06 apply (zenon_L159_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 7.87/8.06 apply (zenon_L174_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 7.87/8.06 apply (zenon_L97_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 7.87/8.06 apply (zenon_L175_); trivial.
% 7.87/8.06 apply (zenon_L170_); trivial.
% 7.87/8.06 apply (zenon_L162_); trivial.
% 7.87/8.06 (* end of lemma zenon_L176_ *)
% 7.87/8.06 assert (zenon_L177_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Hf8 zenon_Hcf zenon_He0.
% 7.87/8.06 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e3) (e2)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_Hf8.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_Hcf.
% 7.87/8.06 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_He1].
% 7.87/8.06 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 7.87/8.06 congruence.
% 7.87/8.06 apply zenon_H85. apply refl_equal.
% 7.87/8.06 apply zenon_He1. apply sym_equal. exact zenon_He0.
% 7.87/8.06 (* end of lemma zenon_L177_ *)
% 7.87/8.06 assert (zenon_L178_ : (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H5a zenon_H9f zenon_H148.
% 7.87/8.06 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e3) (e2)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H5a.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H9f.
% 7.87/8.06 cut (((e2) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H149].
% 7.87/8.06 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 7.87/8.06 congruence.
% 7.87/8.06 apply zenon_H3a. apply refl_equal.
% 7.87/8.06 apply zenon_H149. apply sym_equal. exact zenon_H148.
% 7.87/8.06 (* end of lemma zenon_L178_ *)
% 7.87/8.06 assert (zenon_L179_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H14a zenon_H41 zenon_H131 zenon_Hcf zenon_H9f zenon_H5a zenon_Hb0 zenon_Hf8.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H44 | zenon_intro zenon_H14b ].
% 7.87/8.06 apply (zenon_L143_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_He0 | zenon_intro zenon_H14c ].
% 7.87/8.06 apply (zenon_L177_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H148 | zenon_intro zenon_Hf7 ].
% 7.87/8.06 apply (zenon_L178_); trivial.
% 7.87/8.06 apply (zenon_L108_); trivial.
% 7.87/8.06 (* end of lemma zenon_L179_ *)
% 7.87/8.06 assert (zenon_L180_ : (((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 (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H51 zenon_H1e zenon_H30 zenon_H25 zenon_H33 zenon_H20 zenon_H9f zenon_H47 zenon_H49.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.87/8.06 apply (zenon_L6_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.87/8.06 apply (zenon_L7_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 7.87/8.06 apply (zenon_L44_); trivial.
% 7.87/8.06 apply (zenon_L12_); trivial.
% 7.87/8.06 (* end of lemma zenon_L180_ *)
% 7.87/8.06 assert (zenon_L181_ : (((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) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (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) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Ha7 zenon_H6c zenon_H8e zenon_Hdc zenon_H134 zenon_H49 zenon_H20 zenon_H33 zenon_H25 zenon_H30 zenon_H1e zenon_H51 zenon_H117 zenon_H43 zenon_Hcf zenon_H38 zenon_H81 zenon_Hb0 zenon_H14a zenon_H131 zenon_H5a zenon_Hf8 zenon_Hb2 zenon_H55 zenon_H4e zenon_H13a.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H98 | zenon_intro zenon_Ha8 ].
% 7.87/8.06 apply (zenon_L136_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9c | zenon_intro zenon_Ha9 ].
% 7.87/8.06 apply (zenon_L145_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha1 ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.87/8.06 apply (zenon_L50_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.87/8.06 apply (zenon_L179_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.87/8.06 apply (zenon_L133_); trivial.
% 7.87/8.06 apply (zenon_L180_); trivial.
% 7.87/8.06 exact (zenon_H13a zenon_Ha1).
% 7.87/8.06 (* end of lemma zenon_L181_ *)
% 7.87/8.06 assert (zenon_L182_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e0)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Hd8 zenon_H99 zenon_H5b zenon_H8f zenon_H6d zenon_H81 zenon_Hcf zenon_H55 zenon_H5d.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd9 ].
% 7.87/8.06 apply (zenon_L116_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hda ].
% 7.87/8.06 apply (zenon_L71_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd6 ].
% 7.87/8.06 apply (zenon_L68_); trivial.
% 7.87/8.06 apply (zenon_L69_); trivial.
% 7.87/8.06 (* end of lemma zenon_L182_ *)
% 7.87/8.06 assert (zenon_L183_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Hc3 zenon_H67 zenon_H1e zenon_H2c zenon_H128 zenon_Hfc zenon_H98 zenon_H6c zenon_H6d zenon_H89 zenon_Haf zenon_H95 zenon_He3 zenon_H8f.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.87/8.06 apply (zenon_L36_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.87/8.06 apply (zenon_L104_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.87/8.06 apply (zenon_L161_); trivial.
% 7.87/8.06 apply (zenon_L89_); trivial.
% 7.87/8.06 (* end of lemma zenon_L183_ *)
% 7.87/8.06 assert (zenon_L184_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (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 (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H13b zenon_H20 zenon_H25 zenon_Ha2 zenon_H130 zenon_Hf4 zenon_H99 zenon_Ha7 zenon_H6c zenon_H8e zenon_H134 zenon_H10b zenon_H82 zenon_H13a.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.06 apply (zenon_L3_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.06 apply (zenon_L142_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.06 apply (zenon_L97_); trivial.
% 7.87/8.06 apply (zenon_L153_); trivial.
% 7.87/8.06 (* end of lemma zenon_L184_ *)
% 7.87/8.06 assert (zenon_L185_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Hca zenon_H6e zenon_H9c.
% 7.87/8.06 cut (((op (e1) (e1)) = (e2)) = ((op (e1) (e1)) = (op (e2) (e1)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_Hca.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H6e.
% 7.87/8.06 cut (((e2) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 7.87/8.06 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 7.87/8.06 congruence.
% 7.87/8.06 apply zenon_H8b. apply refl_equal.
% 7.87/8.06 apply zenon_H14d. apply sym_equal. exact zenon_H9c.
% 7.87/8.06 (* end of lemma zenon_L185_ *)
% 7.87/8.06 assert (zenon_L186_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Hbd zenon_He3 zenon_H140.
% 7.87/8.06 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_Hbd.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_He3.
% 7.87/8.06 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H141].
% 7.87/8.06 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H105].
% 7.87/8.06 congruence.
% 7.87/8.06 apply zenon_H105. apply refl_equal.
% 7.87/8.06 apply zenon_H141. apply sym_equal. exact zenon_H140.
% 7.87/8.06 (* end of lemma zenon_L186_ *)
% 7.87/8.06 assert (zenon_L187_ : ((op (e3) (e3)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Hfc zenon_H14e zenon_H49.
% 7.87/8.06 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H4a | zenon_intro zenon_H4b ].
% 7.87/8.06 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e2) (e3)) = (op (e3) (e3)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H49.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H4a.
% 7.87/8.06 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.87/8.06 cut (((op (e3) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4c].
% 7.87/8.06 congruence.
% 7.87/8.06 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e2) (e3)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H4c.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_Hfc.
% 7.87/8.06 cut (((e3) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H14f].
% 7.87/8.06 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.87/8.06 congruence.
% 7.87/8.06 apply zenon_H4b. apply refl_equal.
% 7.87/8.06 apply zenon_H14f. apply sym_equal. exact zenon_H14e.
% 7.87/8.06 apply zenon_H4b. apply refl_equal.
% 7.87/8.06 apply zenon_H4b. apply refl_equal.
% 7.87/8.06 (* end of lemma zenon_L187_ *)
% 7.87/8.06 assert (zenon_L188_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H150 zenon_H47 zenon_He3 zenon_Hbd zenon_H64 zenon_Ha2 zenon_Hfc zenon_H49.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H48 | zenon_intro zenon_H151 ].
% 7.87/8.06 apply (zenon_L12_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H140 | zenon_intro zenon_H152 ].
% 7.87/8.06 apply (zenon_L186_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H14e ].
% 7.87/8.06 apply (zenon_L45_); trivial.
% 7.87/8.06 apply (zenon_L187_); trivial.
% 7.87/8.06 (* end of lemma zenon_L188_ *)
% 7.87/8.06 assert (zenon_L189_ : (((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)))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H4e zenon_H1e zenon_H3d zenon_H55 zenon_Hde zenon_H37 zenon_H43 zenon_H150 zenon_He3 zenon_Hbd zenon_H64 zenon_Ha2 zenon_Hfc zenon_H49.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.87/8.06 apply (zenon_L9_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.87/8.06 apply (zenon_L79_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.87/8.06 apply (zenon_L11_); trivial.
% 7.87/8.06 apply (zenon_L188_); trivial.
% 7.87/8.06 (* end of lemma zenon_L189_ *)
% 7.87/8.06 assert (zenon_L190_ : (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H5a zenon_H13e zenon_He0.
% 7.87/8.06 cut (((op (e2) (e2)) = (e1)) = ((op (e2) (e2)) = (op (e3) (e2)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H5a.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H13e.
% 7.87/8.06 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_He1].
% 7.87/8.06 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 7.87/8.06 congruence.
% 7.87/8.06 apply zenon_H3a. apply refl_equal.
% 7.87/8.06 apply zenon_He1. apply sym_equal. exact zenon_He0.
% 7.87/8.06 (* end of lemma zenon_L190_ *)
% 7.87/8.06 assert (zenon_L191_ : (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> ((op (e3) (e3)) = (e1)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H8f zenon_Hfc zenon_He2.
% 7.87/8.06 cut (((op (e3) (e3)) = (e3)) = ((e1) = (e3))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H8f.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_Hfc.
% 7.87/8.06 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.06 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H153].
% 7.87/8.06 congruence.
% 7.87/8.06 exact (zenon_H153 zenon_He2).
% 7.87/8.06 apply zenon_H69. apply refl_equal.
% 7.87/8.06 (* end of lemma zenon_L191_ *)
% 7.87/8.06 assert (zenon_L192_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((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))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H11e zenon_Hbb zenon_H9c zenon_Hca zenon_H82 zenon_H81 zenon_He7 zenon_H99 zenon_H93 zenon_H49 zenon_H64 zenon_Hbd zenon_He3 zenon_H150 zenon_H43 zenon_H37 zenon_H55 zenon_H3d zenon_H1e zenon_H4e zenon_H13e zenon_H5a zenon_H8f zenon_Hfc.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.87/8.06 apply (zenon_L116_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.87/8.06 apply (zenon_L185_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.87/8.06 apply (zenon_L35_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hb2 | zenon_intro zenon_He8 ].
% 7.87/8.06 apply (zenon_L78_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ].
% 7.87/8.06 apply (zenon_L189_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_He0 | zenon_intro zenon_He2 ].
% 7.87/8.06 apply (zenon_L190_); trivial.
% 7.87/8.06 apply (zenon_L191_); trivial.
% 7.87/8.06 (* end of lemma zenon_L192_ *)
% 7.87/8.06 assert (zenon_L193_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H150 zenon_H5d zenon_H64 zenon_He3 zenon_Hbd zenon_H13a zenon_Hfc zenon_H49.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H48 | zenon_intro zenon_H151 ].
% 7.87/8.06 apply (zenon_L21_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H140 | zenon_intro zenon_H152 ].
% 7.87/8.06 apply (zenon_L186_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H14e ].
% 7.87/8.06 exact (zenon_H13a zenon_Ha1).
% 7.87/8.06 apply (zenon_L187_); trivial.
% 7.87/8.06 (* end of lemma zenon_L193_ *)
% 7.87/8.06 assert (zenon_L194_ : (((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)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Hff zenon_H48 zenon_H64 zenon_He3 zenon_Hbc zenon_Hf1 zenon_Hfc zenon_H5e.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H5d | zenon_intro zenon_H100 ].
% 7.87/8.06 apply (zenon_L21_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H101 ].
% 7.87/8.06 apply (zenon_L93_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hfd ].
% 7.87/8.06 apply (zenon_L113_); trivial.
% 7.87/8.06 apply (zenon_L109_); trivial.
% 7.87/8.06 (* end of lemma zenon_L194_ *)
% 7.87/8.06 assert (zenon_L195_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Hd6 zenon_Hbb zenon_H154.
% 7.87/8.06 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H65 ].
% 7.87/8.06 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e0)) = (op (e1) (e3)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H154.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_Hf2.
% 7.87/8.06 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H65].
% 7.87/8.06 cut (((op (e1) (e3)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H155].
% 7.87/8.06 congruence.
% 7.87/8.06 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e1) (e0)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H155.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_Hd6.
% 7.87/8.06 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H156].
% 7.87/8.06 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H65].
% 7.87/8.06 congruence.
% 7.87/8.06 apply zenon_H65. apply refl_equal.
% 7.87/8.06 apply zenon_H156. apply sym_equal. exact zenon_Hbb.
% 7.87/8.06 apply zenon_H65. apply refl_equal.
% 7.87/8.06 apply zenon_H65. apply refl_equal.
% 7.87/8.06 (* end of lemma zenon_L195_ *)
% 7.87/8.06 assert (zenon_L196_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Hff zenon_H154 zenon_Hbb zenon_H49 zenon_H64 zenon_Hbd zenon_He3 zenon_H47 zenon_H150 zenon_Hfc zenon_H5e.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H5d | zenon_intro zenon_H100 ].
% 7.87/8.06 apply (zenon_L18_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H101 ].
% 7.87/8.06 apply (zenon_L195_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hfd ].
% 7.87/8.06 apply (zenon_L188_); trivial.
% 7.87/8.06 apply (zenon_L109_); trivial.
% 7.87/8.06 (* end of lemma zenon_L196_ *)
% 7.87/8.06 assert (zenon_L197_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H157 zenon_H158 zenon_H13a zenon_Hf1 zenon_Hbc zenon_Hff zenon_H154 zenon_Hbb zenon_H49 zenon_H64 zenon_Hbd zenon_He3 zenon_H150 zenon_Hfc zenon_H5e.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H15a | zenon_intro zenon_H159 ].
% 7.87/8.06 exact (zenon_H158 zenon_H15a).
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5d | zenon_intro zenon_H15b ].
% 7.87/8.06 apply (zenon_L193_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ].
% 7.87/8.06 apply (zenon_L194_); trivial.
% 7.87/8.06 apply (zenon_L196_); trivial.
% 7.87/8.06 (* end of lemma zenon_L197_ *)
% 7.87/8.06 assert (zenon_L198_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Hd8 zenon_H99 zenon_H5b zenon_H8f zenon_H6d zenon_H37 zenon_H55 zenon_He3 zenon_Hf1.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd9 ].
% 7.87/8.06 apply (zenon_L116_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hda ].
% 7.87/8.06 apply (zenon_L71_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd6 ].
% 7.87/8.06 apply (zenon_L165_); trivial.
% 7.87/8.06 apply (zenon_L93_); trivial.
% 7.87/8.06 (* end of lemma zenon_L198_ *)
% 7.87/8.06 assert (zenon_L199_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (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)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H61 zenon_H20 zenon_H25 zenon_H2c zenon_Hf1 zenon_H55 zenon_H6d zenon_H8f zenon_H5b zenon_H99 zenon_Hd8 zenon_H150 zenon_H64 zenon_He3 zenon_Hbd zenon_H13a zenon_Hfc zenon_H49.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.87/8.06 apply (zenon_L17_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.87/8.06 apply (zenon_L5_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.87/8.06 apply (zenon_L198_); trivial.
% 7.87/8.06 apply (zenon_L193_); trivial.
% 7.87/8.06 (* end of lemma zenon_L199_ *)
% 7.87/8.06 assert (zenon_L200_ : ((op (e2) (e2)) = (e3)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H15c zenon_H8e zenon_H10e.
% 7.87/8.06 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 7.87/8.06 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e2) (e0)) = (op (e2) (e2)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H10e.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H39.
% 7.87/8.06 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 7.87/8.06 cut (((op (e2) (e2)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H10f].
% 7.87/8.06 congruence.
% 7.87/8.06 cut (((op (e2) (e2)) = (e3)) = ((op (e2) (e2)) = (op (e2) (e0)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_H10f.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H15c.
% 7.87/8.06 cut (((e3) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 7.87/8.06 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 7.87/8.06 congruence.
% 7.87/8.06 apply zenon_H3a. apply refl_equal.
% 7.87/8.06 apply zenon_H15d. apply sym_equal. exact zenon_H8e.
% 7.87/8.06 apply zenon_H3a. apply refl_equal.
% 7.87/8.06 apply zenon_H3a. apply refl_equal.
% 7.87/8.06 (* end of lemma zenon_L200_ *)
% 7.87/8.06 assert (zenon_L201_ : ((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3))) -> (~((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 (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e2) = (e3))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (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) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (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) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (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 (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H15e zenon_H10e zenon_Hb5 zenon_Hb6 zenon_Hd8 zenon_H20 zenon_H1e zenon_H25 zenon_Hec zenon_H61 zenon_H64 zenon_H5e zenon_H81 zenon_H13b zenon_H10b zenon_Ha7 zenon_H33 zenon_H38 zenon_H4e zenon_H49 zenon_H131 zenon_H134 zenon_H12d zenon_Hfc zenon_H137 zenon_H40 zenon_H3d zenon_H51 zenon_H130 zenon_H11e zenon_H2c zenon_H28 zenon_H67 zenon_H89 zenon_H6d zenon_H6c zenon_H12b zenon_H128 zenon_H95 zenon_H99 zenon_Hc3 zenon_H30 zenon_H142 zenon_H5a zenon_Hff zenon_Hf1 zenon_H55 zenon_Haf zenon_H8f zenon_H124 zenon_H14a zenon_Hf8 zenon_H117 zenon_H43 zenon_Hca zenon_He7 zenon_H150 zenon_Hbd zenon_H157 zenon_H154 zenon_H158 zenon_H15f.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H13a | zenon_intro zenon_H15c ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 7.87/8.06 exact (zenon_Hb5 zenon_Hb9).
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 7.87/8.06 exact (zenon_Hb5 zenon_Hb9).
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.87/8.06 apply (zenon_L2_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.87/8.06 apply (zenon_L3_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.87/8.06 apply (zenon_L2_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.87/8.06 apply (zenon_L116_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.87/8.06 apply (zenon_L151_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.87/8.06 apply (zenon_L36_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.87/8.06 apply (zenon_L37_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.87/8.06 apply (zenon_L4_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.87/8.06 apply (zenon_L5_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.87/8.06 apply (zenon_L116_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.87/8.06 apply (zenon_L26_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.87/8.06 apply (zenon_L35_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.06 apply (zenon_L3_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.06 apply (zenon_L142_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.87/8.06 apply (zenon_L123_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.87/8.06 apply (zenon_L7_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 7.87/8.06 apply (zenon_L8_); trivial.
% 7.87/8.06 apply (zenon_L152_); trivial.
% 7.87/8.06 apply (zenon_L153_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.87/8.06 apply (zenon_L116_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.87/8.06 apply (zenon_L26_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.87/8.06 apply (zenon_L35_); trivial.
% 7.87/8.06 apply (zenon_L150_); trivial.
% 7.87/8.06 apply (zenon_L137_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.87/8.06 apply (zenon_L36_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.87/8.06 apply (zenon_L24_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.87/8.06 apply (zenon_L116_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.87/8.06 apply (zenon_L26_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.06 apply (zenon_L3_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.06 apply (zenon_L26_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.06 apply (zenon_L160_); trivial.
% 7.87/8.06 apply (zenon_L162_); trivial.
% 7.87/8.06 apply (zenon_L113_); trivial.
% 7.87/8.06 apply (zenon_L57_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 7.87/8.06 apply (zenon_L163_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.87/8.06 apply (zenon_L2_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.87/8.06 apply (zenon_L3_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.87/8.06 apply (zenon_L2_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.87/8.06 apply (zenon_L36_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.87/8.06 apply (zenon_L37_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.87/8.06 apply (zenon_L17_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.87/8.06 apply (zenon_L164_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd9 ].
% 7.87/8.06 apply (zenon_L116_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hda ].
% 7.87/8.06 apply (zenon_L61_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd6 ].
% 7.87/8.06 apply (zenon_L165_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.06 apply (zenon_L3_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.06 apply (zenon_L84_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.87/8.06 apply (zenon_L123_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.87/8.06 apply (zenon_L7_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 7.87/8.06 apply (zenon_L166_); trivial.
% 7.87/8.06 apply (zenon_L152_); trivial.
% 7.87/8.06 apply (zenon_L153_); trivial.
% 7.87/8.06 apply (zenon_L59_); trivial.
% 7.87/8.06 apply (zenon_L167_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.87/8.06 apply (zenon_L151_); trivial.
% 7.87/8.06 apply (zenon_L78_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.87/8.06 apply (zenon_L2_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.87/8.06 apply (zenon_L36_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.87/8.06 apply (zenon_L104_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.87/8.06 apply (zenon_L49_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.87/8.06 apply (zenon_L37_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.87/8.06 apply (zenon_L171_); trivial.
% 7.87/8.06 apply (zenon_L167_); trivial.
% 7.87/8.06 apply (zenon_L57_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.87/8.06 apply (zenon_L172_); trivial.
% 7.87/8.06 apply (zenon_L78_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 7.87/8.06 exact (zenon_Hb5 zenon_Hb9).
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.87/8.06 apply (zenon_L2_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.87/8.06 apply (zenon_L3_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.87/8.06 apply (zenon_L65_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.87/8.06 apply (zenon_L2_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.87/8.06 apply (zenon_L116_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.87/8.06 apply (zenon_L172_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.87/8.06 apply (zenon_L36_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.87/8.06 apply (zenon_L24_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.87/8.06 apply (zenon_L49_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.87/8.06 apply (zenon_L37_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.87/8.06 apply (zenon_L116_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.87/8.06 apply (zenon_L26_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.87/8.06 apply (zenon_L176_); trivial.
% 7.87/8.06 apply (zenon_L113_); trivial.
% 7.87/8.06 apply (zenon_L39_); trivial.
% 7.87/8.06 apply (zenon_L57_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 7.87/8.06 apply (zenon_L174_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.87/8.06 apply (zenon_L2_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.87/8.06 apply (zenon_L3_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.87/8.06 apply (zenon_L65_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.87/8.06 apply (zenon_L2_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.87/8.06 apply (zenon_L36_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.87/8.06 apply (zenon_L24_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.87/8.06 apply (zenon_L49_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.87/8.06 apply (zenon_L37_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.87/8.06 apply (zenon_L4_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.87/8.06 apply (zenon_L5_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd9 ].
% 7.87/8.06 apply (zenon_L116_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hda ].
% 7.87/8.06 apply (zenon_L71_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd6 ].
% 7.87/8.06 apply (zenon_L165_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.06 apply (zenon_L3_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.06 apply (zenon_L26_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 7.87/8.06 apply (zenon_L38_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 7.87/8.06 apply (zenon_L97_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 7.87/8.06 apply (zenon_L175_); trivial.
% 7.87/8.06 apply (zenon_L156_); trivial.
% 7.87/8.06 apply (zenon_L181_); trivial.
% 7.87/8.06 apply (zenon_L182_); trivial.
% 7.87/8.06 apply (zenon_L167_); trivial.
% 7.87/8.06 apply (zenon_L57_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.87/8.06 apply (zenon_L172_); trivial.
% 7.87/8.06 apply (zenon_L78_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 7.87/8.06 exact (zenon_Hb5 zenon_Hb9).
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.87/8.06 apply (zenon_L2_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.87/8.06 apply (zenon_L3_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.87/8.06 apply (zenon_L2_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.87/8.06 apply (zenon_L116_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.87/8.06 apply (zenon_L183_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.87/8.06 apply (zenon_L36_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.87/8.06 apply (zenon_L24_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.87/8.06 apply (zenon_L49_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.87/8.06 apply (zenon_L66_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.87/8.06 apply (zenon_L4_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.87/8.06 apply (zenon_L164_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.87/8.06 apply (zenon_L116_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.87/8.06 apply (zenon_L26_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.87/8.06 apply (zenon_L35_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.06 apply (zenon_L3_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.06 apply (zenon_L142_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 7.87/8.06 apply (zenon_L38_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 7.87/8.06 apply (zenon_L184_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 7.87/8.06 apply (zenon_L192_); trivial.
% 7.87/8.06 apply (zenon_L186_); trivial.
% 7.87/8.06 apply (zenon_L153_); trivial.
% 7.87/8.06 apply (zenon_L193_); trivial.
% 7.87/8.06 apply (zenon_L39_); trivial.
% 7.87/8.06 apply (zenon_L89_); trivial.
% 7.87/8.06 apply (zenon_L197_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.87/8.06 apply (zenon_L2_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.87/8.06 apply (zenon_L199_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.87/8.06 apply (zenon_L183_); trivial.
% 7.87/8.06 apply (zenon_L105_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.87/8.06 apply (zenon_L2_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.87/8.06 apply (zenon_L199_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.87/8.06 apply (zenon_L183_); trivial.
% 7.87/8.06 apply (zenon_L78_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.87/8.06 apply (zenon_L36_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.87/8.06 apply (zenon_L37_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.87/8.06 apply (zenon_L200_); trivial.
% 7.87/8.06 apply (zenon_L137_); trivial.
% 7.87/8.06 (* end of lemma zenon_L201_ *)
% 7.87/8.06 assert (zenon_L202_ : (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3))) -> (~((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 (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (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) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (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) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (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) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (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 (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((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 (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_H5e zenon_Hfc zenon_H81 zenon_H15e zenon_H10e zenon_Hb5 zenon_Hb6 zenon_Hd8 zenon_H20 zenon_H1e zenon_H25 zenon_Hec zenon_H61 zenon_H64 zenon_H13b zenon_H10b zenon_Ha7 zenon_H33 zenon_H38 zenon_H4e zenon_H49 zenon_H131 zenon_H134 zenon_H12d zenon_H137 zenon_H40 zenon_H3d zenon_H51 zenon_H130 zenon_H11e zenon_H2c zenon_H28 zenon_H67 zenon_H89 zenon_H12b zenon_H128 zenon_H95 zenon_H99 zenon_Hc3 zenon_H30 zenon_H142 zenon_H5a zenon_Hff zenon_Hf1 zenon_H55 zenon_Haf zenon_H8f zenon_H124 zenon_H14a zenon_Hf8 zenon_H117 zenon_H43 zenon_Hca zenon_He7 zenon_H150 zenon_Hbd zenon_H157 zenon_H154 zenon_H158 zenon_H15f zenon_Hbb zenon_H162 zenon_Hbc zenon_H6c.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.87/8.06 apply (zenon_L36_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.87/8.06 apply (zenon_L24_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.87/8.06 apply (zenon_L66_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.87/8.06 apply (zenon_L201_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.87/8.06 apply (zenon_L120_); trivial.
% 7.87/8.06 apply (zenon_L109_); trivial.
% 7.87/8.06 apply (zenon_L57_); trivial.
% 7.87/8.06 (* end of lemma zenon_L202_ *)
% 7.87/8.06 assert (zenon_L203_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Hd8 zenon_H8f zenon_H88 zenon_H2c zenon_Hc7 zenon_H37 zenon_H55 zenon_H165.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd9 ].
% 7.87/8.06 apply (zenon_L66_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hda ].
% 7.87/8.06 apply (zenon_L61_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd6 ].
% 7.87/8.06 apply (zenon_L165_); trivial.
% 7.87/8.06 exact (zenon_H165 zenon_Hd6).
% 7.87/8.06 (* end of lemma zenon_L203_ *)
% 7.87/8.06 assert (zenon_L204_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Haa zenon_H67 zenon_H25 zenon_H89 zenon_H88 zenon_H6c zenon_H9c zenon_H12b zenon_H12d.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.06 apply (zenon_L24_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.06 apply (zenon_L37_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.06 apply (zenon_L43_); trivial.
% 7.87/8.06 apply (zenon_L140_); trivial.
% 7.87/8.06 (* end of lemma zenon_L204_ *)
% 7.87/8.06 assert (zenon_L205_ : (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Hef zenon_H6d zenon_H115.
% 7.87/8.06 cut (((op (e1) (e1)) = (e3)) = ((op (e1) (e1)) = (op (e1) (e2)))).
% 7.87/8.06 intro zenon_D_pnotp.
% 7.87/8.06 apply zenon_Hef.
% 7.87/8.06 rewrite <- zenon_D_pnotp.
% 7.87/8.06 exact zenon_H6d.
% 7.87/8.06 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H116].
% 7.87/8.06 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 7.87/8.06 congruence.
% 7.87/8.06 apply zenon_H8b. apply refl_equal.
% 7.87/8.06 apply zenon_H116. apply sym_equal. exact zenon_H115.
% 7.87/8.06 (* end of lemma zenon_L205_ *)
% 7.87/8.06 assert (zenon_L206_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 7.87/8.06 do 0 intro. intros zenon_Haa zenon_H67 zenon_H25 zenon_H115 zenon_Hef zenon_H6c zenon_H9c zenon_H12b zenon_H12d.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.06 apply (zenon_L24_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.06 apply (zenon_L205_); trivial.
% 7.87/8.06 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.06 apply (zenon_L43_); trivial.
% 7.87/8.06 apply (zenon_L140_); trivial.
% 7.87/8.06 (* end of lemma zenon_L206_ *)
% 7.87/8.06 assert (zenon_L207_ : (((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) (e3)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((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 (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (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 (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e0) = (e1))) -> (~((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)) = (op (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))))) -> (~((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 (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (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 (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((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)))) -> ((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H162 zenon_H15f zenon_H158 zenon_H154 zenon_H157 zenon_Hbd zenon_H150 zenon_He7 zenon_Hca zenon_H43 zenon_H117 zenon_Hf8 zenon_H14a zenon_H124 zenon_H8f zenon_Haf zenon_H55 zenon_Hf1 zenon_Hff zenon_H5a zenon_H142 zenon_H30 zenon_Hc3 zenon_H99 zenon_H95 zenon_H128 zenon_H89 zenon_H28 zenon_H2c zenon_H11e zenon_H130 zenon_H51 zenon_H3d zenon_H40 zenon_H137 zenon_H134 zenon_H131 zenon_H49 zenon_H4e zenon_H38 zenon_H33 zenon_Ha7 zenon_H10b zenon_H13b zenon_H81 zenon_H64 zenon_H61 zenon_Hec zenon_H1e zenon_H20 zenon_Hd8 zenon_Hb6 zenon_Hb5 zenon_H10e zenon_H15e zenon_H12d zenon_H12b zenon_H9c zenon_H6c zenon_Hef zenon_H25 zenon_H67 zenon_Haa zenon_Hfc zenon_H5e.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.87/8.07 apply (zenon_L204_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.87/8.07 apply (zenon_L201_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.87/8.07 apply (zenon_L206_); trivial.
% 7.87/8.07 apply (zenon_L109_); trivial.
% 7.87/8.07 (* end of lemma zenon_L207_ *)
% 7.87/8.07 assert (zenon_L208_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e2)) -> False).
% 7.87/8.07 do 0 intro. intros zenon_Haa zenon_H67 zenon_H89 zenon_H88 zenon_Hca zenon_H36 zenon_Hc7 zenon_H2c zenon_H25 zenon_Hcc zenon_H6c zenon_Hdc.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.07 apply (zenon_L24_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.07 apply (zenon_L37_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.07 apply (zenon_L63_); trivial.
% 7.87/8.07 apply (zenon_L73_); trivial.
% 7.87/8.07 (* end of lemma zenon_L208_ *)
% 7.87/8.07 assert (zenon_L209_ : (((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)) = (op (e2) (e1)))) -> ((op (e3) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e0) = (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) (e3)) = (e0)) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H51 zenon_H55 zenon_H54 zenon_H33 zenon_Hdc zenon_H6c zenon_Hcc zenon_H25 zenon_H2c zenon_Hc7 zenon_Hca zenon_H88 zenon_H89 zenon_H67 zenon_Haa zenon_H64 zenon_H5d.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.87/8.07 apply (zenon_L15_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.87/8.07 apply (zenon_L7_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 7.87/8.07 apply (zenon_L208_); trivial.
% 7.87/8.07 apply (zenon_L21_); trivial.
% 7.87/8.07 (* end of lemma zenon_L209_ *)
% 7.87/8.07 assert (zenon_L210_ : ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3))) -> (~((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 (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((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) (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 (e2) (e2)) = (op (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 (e0) (e0)) = (op (e0) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (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) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((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)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H5b zenon_H165 zenon_H5e zenon_Hfc zenon_Hef zenon_H12b zenon_H12d zenon_H15e zenon_H10e zenon_Hb5 zenon_Hb6 zenon_Hd8 zenon_H20 zenon_H1e zenon_Hec zenon_H61 zenon_H81 zenon_H13b zenon_H10b zenon_Ha7 zenon_H38 zenon_H4e zenon_H49 zenon_H131 zenon_H134 zenon_H137 zenon_H40 zenon_H3d zenon_H130 zenon_H11e zenon_H28 zenon_H128 zenon_H95 zenon_H99 zenon_Hc3 zenon_H30 zenon_H142 zenon_H5a zenon_Hff zenon_Hf1 zenon_Haf zenon_H8f zenon_H124 zenon_H14a zenon_Hf8 zenon_H117 zenon_H43 zenon_He7 zenon_H150 zenon_Hbd zenon_H157 zenon_H154 zenon_H158 zenon_H15f zenon_H162 zenon_H51 zenon_H55 zenon_H54 zenon_H33 zenon_H6c zenon_Hcc zenon_H25 zenon_H2c zenon_Hc7 zenon_Hca zenon_H88 zenon_H89 zenon_H67 zenon_Haa zenon_H64.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.87/8.07 apply (zenon_L17_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.87/8.07 apply (zenon_L5_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.87/8.07 apply (zenon_L203_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.07 apply (zenon_L3_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.07 apply (zenon_L141_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.07 apply (zenon_L207_); trivial.
% 7.87/8.07 apply (zenon_L209_); trivial.
% 7.87/8.07 (* end of lemma zenon_L210_ *)
% 7.87/8.07 assert (zenon_L211_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e3)) = (e1))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e3)) = (op (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 (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((e0) = (e2))) -> (((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))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H61 zenon_H28 zenon_H165 zenon_H8f zenon_Hd8 zenon_H13b zenon_H12b zenon_H1e zenon_H30 zenon_H5e zenon_H137 zenon_H131 zenon_H40 zenon_H134 zenon_Hfc zenon_H12d zenon_H93 zenon_H20 zenon_H4e zenon_H51 zenon_H55 zenon_H54 zenon_H33 zenon_H6c zenon_Hcc zenon_H25 zenon_H2c zenon_Hc7 zenon_Hca zenon_H88 zenon_H89 zenon_H67 zenon_Haa zenon_H64.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.87/8.07 apply (zenon_L4_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.87/8.07 apply (zenon_L5_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.87/8.07 apply (zenon_L203_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.07 apply (zenon_L3_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.07 apply (zenon_L141_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.07 apply (zenon_L147_); trivial.
% 7.87/8.07 apply (zenon_L209_); trivial.
% 7.87/8.07 (* end of lemma zenon_L211_ *)
% 7.87/8.07 assert (zenon_L212_ : ((op (e2) (e0)) = (e2)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H98 zenon_H1f zenon_H30.
% 7.87/8.07 elim (classic ((op (e2) (e0)) = (op (e2) (e0)))); [ zenon_intro zenon_H166 | zenon_intro zenon_H167 ].
% 7.87/8.07 cut (((op (e2) (e0)) = (op (e2) (e0))) = ((op (e0) (e0)) = (op (e2) (e0)))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H30.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_H166.
% 7.87/8.07 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H167].
% 7.87/8.07 cut (((op (e2) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H168].
% 7.87/8.07 congruence.
% 7.87/8.07 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e0) (e0)))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H168.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_H98.
% 7.87/8.07 cut (((e2) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H169].
% 7.87/8.07 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H167].
% 7.87/8.07 congruence.
% 7.87/8.07 apply zenon_H167. apply refl_equal.
% 7.87/8.07 apply zenon_H169. apply sym_equal. exact zenon_H1f.
% 7.87/8.07 apply zenon_H167. apply refl_equal.
% 7.87/8.07 apply zenon_H167. apply refl_equal.
% 7.87/8.07 (* end of lemma zenon_L212_ *)
% 7.87/8.07 assert (zenon_L213_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e1) (e0)) = (e3)) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H28 zenon_H86 zenon_H88.
% 7.87/8.07 cut (((op (e0) (e0)) = (e3)) = ((op (e0) (e0)) = (op (e1) (e0)))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H28.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_H86.
% 7.87/8.07 cut (((e3) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H8d].
% 7.87/8.07 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 7.87/8.07 congruence.
% 7.87/8.07 apply zenon_H2b. apply refl_equal.
% 7.87/8.07 apply zenon_H8d. apply sym_equal. exact zenon_H88.
% 7.87/8.07 (* end of lemma zenon_L213_ *)
% 7.87/8.07 assert (zenon_L214_ : (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e2) (e0)) = (e3)) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H30 zenon_H86 zenon_H8e.
% 7.87/8.07 cut (((op (e0) (e0)) = (e3)) = ((op (e0) (e0)) = (op (e2) (e0)))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H30.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_H86.
% 7.87/8.07 cut (((e3) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 7.87/8.07 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 7.87/8.07 congruence.
% 7.87/8.07 apply zenon_H2b. apply refl_equal.
% 7.87/8.07 apply zenon_H15d. apply sym_equal. exact zenon_H8e.
% 7.87/8.07 (* end of lemma zenon_L214_ *)
% 7.87/8.07 assert (zenon_L215_ : (~((e0) = (e3))) -> ((op (e2) (e2)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H67 zenon_H15c zenon_H36.
% 7.87/8.07 cut (((op (e2) (e2)) = (e3)) = ((e0) = (e3))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H67.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_H15c.
% 7.87/8.07 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.07 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 7.87/8.07 congruence.
% 7.87/8.07 exact (zenon_H16a zenon_H36).
% 7.87/8.07 apply zenon_H69. apply refl_equal.
% 7.87/8.07 (* end of lemma zenon_L215_ *)
% 7.87/8.07 assert (zenon_L216_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H16b zenon_H86 zenon_H30 zenon_H6d zenon_Hca zenon_H36 zenon_H67 zenon_Hfc zenon_H49.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H8e | zenon_intro zenon_H16c ].
% 7.87/8.07 apply (zenon_L214_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H70 | zenon_intro zenon_H16d ].
% 7.87/8.07 apply (zenon_L62_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H15c | zenon_intro zenon_H14e ].
% 7.87/8.07 apply (zenon_L215_); trivial.
% 7.87/8.07 apply (zenon_L187_); trivial.
% 7.87/8.07 (* end of lemma zenon_L216_ *)
% 7.87/8.07 assert (zenon_L217_ : (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H16e zenon_H86 zenon_H66.
% 7.87/8.07 cut (((op (e0) (e0)) = (e3)) = ((op (e0) (e0)) = (op (e0) (e1)))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H16e.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_H86.
% 7.87/8.07 cut (((e3) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hf6].
% 7.87/8.07 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 7.87/8.07 congruence.
% 7.87/8.07 apply zenon_H2b. apply refl_equal.
% 7.87/8.07 apply zenon_Hf6. apply sym_equal. exact zenon_H66.
% 7.87/8.07 (* end of lemma zenon_L217_ *)
% 7.87/8.07 assert (zenon_L218_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_Haa zenon_H86 zenon_H16e zenon_H115 zenon_Hef zenon_Hca zenon_H36 zenon_Hc7 zenon_H2c zenon_H25 zenon_Hcc zenon_Hfc zenon_H12d.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.07 apply (zenon_L217_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.07 apply (zenon_L205_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.07 apply (zenon_L63_); trivial.
% 7.87/8.07 apply (zenon_L139_); trivial.
% 7.87/8.07 (* end of lemma zenon_L218_ *)
% 7.87/8.07 assert (zenon_L219_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H162 zenon_H28 zenon_H49 zenon_H67 zenon_H30 zenon_H16b zenon_H12d zenon_Hcc zenon_H25 zenon_H2c zenon_Hc7 zenon_H36 zenon_Hca zenon_Hef zenon_H16e zenon_H86 zenon_Haa zenon_Hfc zenon_H5e.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.87/8.07 apply (zenon_L213_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.87/8.07 apply (zenon_L216_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.87/8.07 apply (zenon_L218_); trivial.
% 7.87/8.07 apply (zenon_L109_); trivial.
% 7.87/8.07 (* end of lemma zenon_L219_ *)
% 7.87/8.07 assert (zenon_L220_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H162 zenon_H8f zenon_Hbb zenon_H49 zenon_H67 zenon_H30 zenon_H16b zenon_H12d zenon_Hcc zenon_H25 zenon_H2c zenon_Hc7 zenon_H36 zenon_Hca zenon_Hef zenon_H16e zenon_H86 zenon_Haa zenon_Hfc zenon_H5e.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.87/8.07 apply (zenon_L66_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.87/8.07 apply (zenon_L216_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.87/8.07 apply (zenon_L218_); trivial.
% 7.87/8.07 apply (zenon_L109_); trivial.
% 7.87/8.07 (* end of lemma zenon_L220_ *)
% 7.87/8.07 assert (zenon_L221_ : ((op (e1) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_Hc6 zenon_Hbb zenon_H89.
% 7.87/8.07 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_H8a | zenon_intro zenon_H8b ].
% 7.87/8.07 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (e1) (e0)) = (op (e1) (e1)))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H89.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_H8a.
% 7.87/8.07 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 7.87/8.07 cut (((op (e1) (e1)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H8c].
% 7.87/8.07 congruence.
% 7.87/8.07 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e1) (e0)))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H8c.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_Hc6.
% 7.87/8.07 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H156].
% 7.87/8.07 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 7.87/8.07 congruence.
% 7.87/8.07 apply zenon_H8b. apply refl_equal.
% 7.87/8.07 apply zenon_H156. apply sym_equal. exact zenon_Hbb.
% 7.87/8.07 apply zenon_H8b. apply refl_equal.
% 7.87/8.07 apply zenon_H8b. apply refl_equal.
% 7.87/8.07 (* end of lemma zenon_L221_ *)
% 7.87/8.07 assert (zenon_L222_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H162 zenon_H8f zenon_Hbb zenon_H49 zenon_H67 zenon_Hca zenon_H30 zenon_H16b zenon_H12d zenon_H36 zenon_H6e zenon_Hef zenon_H16e zenon_H86 zenon_Haa zenon_Hfc zenon_H5e.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.87/8.07 apply (zenon_L66_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.87/8.07 apply (zenon_L216_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.07 apply (zenon_L217_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.07 apply (zenon_L205_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.07 apply (zenon_L29_); trivial.
% 7.87/8.07 apply (zenon_L139_); trivial.
% 7.87/8.07 apply (zenon_L109_); trivial.
% 7.87/8.07 (* end of lemma zenon_L222_ *)
% 7.87/8.07 assert (zenon_L223_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e0) = (e2))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H15a zenon_Hbc zenon_H20.
% 7.87/8.07 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ].
% 7.87/8.07 cut (((e2) = (e2)) = ((e0) = (e2))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H20.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_H21.
% 7.87/8.07 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.87/8.07 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 7.87/8.07 congruence.
% 7.87/8.07 cut (((op (e0) (e3)) = (e0)) = ((e2) = (e0))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H23.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_H15a.
% 7.87/8.07 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.87/8.07 cut (((op (e0) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H16f].
% 7.87/8.07 congruence.
% 7.87/8.07 exact (zenon_H16f zenon_Hbc).
% 7.87/8.07 apply zenon_H1d. apply refl_equal.
% 7.87/8.07 apply zenon_H22. apply refl_equal.
% 7.87/8.07 apply zenon_H22. apply refl_equal.
% 7.87/8.07 (* end of lemma zenon_L223_ *)
% 7.87/8.07 assert (zenon_L224_ : (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H154 zenon_H29 zenon_H5d.
% 7.87/8.07 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e1) (e3)))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H154.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_H29.
% 7.87/8.07 cut (((e0) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 7.87/8.07 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H114].
% 7.87/8.07 congruence.
% 7.87/8.07 apply zenon_H114. apply refl_equal.
% 7.87/8.07 apply zenon_H60. apply sym_equal. exact zenon_H5d.
% 7.87/8.07 (* end of lemma zenon_L224_ *)
% 7.87/8.07 assert (zenon_L225_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H40 zenon_H26 zenon_Hdc.
% 7.87/8.07 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (e1)) = (op (e3) (e1)))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H40.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_H26.
% 7.87/8.07 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H135].
% 7.87/8.07 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 7.87/8.07 congruence.
% 7.87/8.07 apply zenon_H2f. apply refl_equal.
% 7.87/8.07 apply zenon_H135. apply sym_equal. exact zenon_Hdc.
% 7.87/8.07 (* end of lemma zenon_L225_ *)
% 7.87/8.07 assert (zenon_L226_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H33 zenon_H66 zenon_H70.
% 7.87/8.07 cut (((op (e0) (e1)) = (e3)) = ((op (e0) (e1)) = (op (e2) (e1)))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H33.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_H66.
% 7.87/8.07 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hcb].
% 7.87/8.07 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 7.87/8.07 congruence.
% 7.87/8.07 apply zenon_H2f. apply refl_equal.
% 7.87/8.07 apply zenon_Hcb. apply sym_equal. exact zenon_H70.
% 7.87/8.07 (* end of lemma zenon_L226_ *)
% 7.87/8.07 assert (zenon_L227_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H170 zenon_H2d zenon_H2c zenon_Hf4 zenon_Hdc zenon_H40 zenon_H33 zenon_H70.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H25 | zenon_intro zenon_H171 ].
% 7.87/8.07 apply (zenon_L5_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H172 ].
% 7.87/8.07 apply (zenon_L168_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H26 | zenon_intro zenon_H66 ].
% 7.87/8.07 apply (zenon_L225_); trivial.
% 7.87/8.07 apply (zenon_L226_); trivial.
% 7.87/8.07 (* end of lemma zenon_L227_ *)
% 7.87/8.07 assert (zenon_L228_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> False).
% 7.87/8.07 do 0 intro. intros zenon_Hca zenon_Hc6 zenon_Hf4.
% 7.87/8.07 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e2) (e1)))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_Hca.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_Hc6.
% 7.87/8.07 cut (((e1) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H146].
% 7.87/8.07 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 7.87/8.07 congruence.
% 7.87/8.07 apply zenon_H8b. apply refl_equal.
% 7.87/8.07 apply zenon_H146. apply sym_equal. exact zenon_Hf4.
% 7.87/8.07 (* end of lemma zenon_L228_ *)
% 7.87/8.07 assert (zenon_L229_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_Hff zenon_H48 zenon_H64 zenon_H165 zenon_H6e zenon_H130 zenon_Hfc zenon_H5e.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H5d | zenon_intro zenon_H100 ].
% 7.87/8.07 apply (zenon_L21_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H101 ].
% 7.87/8.07 exact (zenon_H165 zenon_Hd6).
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hfd ].
% 7.87/8.07 apply (zenon_L142_); trivial.
% 7.87/8.07 apply (zenon_L109_); trivial.
% 7.87/8.07 (* end of lemma zenon_L229_ *)
% 7.87/8.07 assert (zenon_L230_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> False).
% 7.87/8.07 do 0 intro. intros zenon_Hcc zenon_H33 zenon_H40 zenon_Hdc zenon_H2c zenon_H170 zenon_Hf4 zenon_H5e zenon_Hfc zenon_H130 zenon_H165 zenon_H64 zenon_H48 zenon_Hff zenon_Hca zenon_H70.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H2d | zenon_intro zenon_Hcd ].
% 7.87/8.07 apply (zenon_L227_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hce ].
% 7.87/8.07 apply (zenon_L228_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 7.87/8.07 apply (zenon_L229_); trivial.
% 7.87/8.07 apply (zenon_L62_); trivial.
% 7.87/8.07 (* end of lemma zenon_L230_ *)
% 7.87/8.07 assert (zenon_L231_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H173 zenon_H6e zenon_Hdc.
% 7.87/8.07 cut (((op (e1) (e1)) = (e2)) = ((op (e1) (e1)) = (op (e3) (e1)))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H173.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_H6e.
% 7.87/8.07 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H135].
% 7.87/8.07 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 7.87/8.07 congruence.
% 7.87/8.07 apply zenon_H8b. apply refl_equal.
% 7.87/8.07 apply zenon_H135. apply sym_equal. exact zenon_Hdc.
% 7.87/8.07 (* end of lemma zenon_L231_ *)
% 7.87/8.07 assert (zenon_L232_ : (~((op (op (e1) (e1)) (op (e1) (e1))) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e3)) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H174 zenon_H6d.
% 7.87/8.07 cut (((op (e1) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 7.87/8.07 cut (((op (e1) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 7.87/8.07 congruence.
% 7.87/8.07 exact (zenon_Hdb zenon_H6d).
% 7.87/8.07 exact (zenon_Hdb zenon_H6d).
% 7.87/8.07 (* end of lemma zenon_L232_ *)
% 7.87/8.07 assert (zenon_L233_ : (~((op (op (e1) (e1)) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H175 zenon_H6d.
% 7.87/8.07 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.87/8.07 cut (((op (e1) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 7.87/8.07 congruence.
% 7.87/8.07 exact (zenon_Hdb zenon_H6d).
% 7.87/8.07 apply zenon_H57. apply refl_equal.
% 7.87/8.07 (* end of lemma zenon_L233_ *)
% 7.87/8.07 assert (zenon_L234_ : ((op (e3) (e1)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> (~((e2) = (op (op (e1) (e1)) (e1)))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_Hdc zenon_H6d zenon_H176.
% 7.87/8.07 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ].
% 7.87/8.07 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((e2) = (op (op (e1) (e1)) (e1)))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H176.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_H72.
% 7.87/8.07 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H73].
% 7.87/8.07 cut (((op (op (e1) (e1)) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H177].
% 7.87/8.07 congruence.
% 7.87/8.07 cut (((op (e3) (e1)) = (e2)) = ((op (op (e1) (e1)) (e1)) = (e2))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H177.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_Hdc.
% 7.87/8.07 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.87/8.07 cut (((op (e3) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H178].
% 7.87/8.07 congruence.
% 7.87/8.07 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ].
% 7.87/8.07 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((op (e3) (e1)) = (op (op (e1) (e1)) (e1)))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H178.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_H72.
% 7.87/8.07 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H73].
% 7.87/8.07 cut (((op (op (e1) (e1)) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H175].
% 7.87/8.07 congruence.
% 7.87/8.07 apply (zenon_L233_); trivial.
% 7.87/8.07 apply zenon_H73. apply refl_equal.
% 7.87/8.07 apply zenon_H73. apply refl_equal.
% 7.87/8.07 apply zenon_H22. apply refl_equal.
% 7.87/8.07 apply zenon_H73. apply refl_equal.
% 7.87/8.07 apply zenon_H73. apply refl_equal.
% 7.87/8.07 (* end of lemma zenon_L234_ *)
% 7.87/8.07 assert (zenon_L235_ : ((op (e3) (e3)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H47 zenon_Hdc zenon_H6d.
% 7.87/8.07 apply (zenon_notand_s _ _ ax7); [ zenon_intro zenon_H78 | zenon_intro zenon_H179 ].
% 7.87/8.07 elim (classic ((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 7.87/8.07 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1)))) = ((e0) = (op (op (e1) (e1)) (op (e1) (e1))))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H78.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_H79.
% 7.87/8.07 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7a].
% 7.87/8.07 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7b].
% 7.87/8.07 congruence.
% 7.87/8.07 cut (((op (e3) (e3)) = (e0)) = ((op (op (e1) (e1)) (op (e1) (e1))) = (e0))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H7b.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_H47.
% 7.87/8.07 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.87/8.07 cut (((op (e3) (e3)) = (op (op (e1) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H17a].
% 7.87/8.07 congruence.
% 7.87/8.07 elim (classic ((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 7.87/8.07 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1)))) = ((op (e3) (e3)) = (op (op (e1) (e1)) (op (e1) (e1))))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H17a.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_H79.
% 7.87/8.07 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7a].
% 7.87/8.07 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H174].
% 7.87/8.07 congruence.
% 7.87/8.07 apply (zenon_L232_); trivial.
% 7.87/8.07 apply zenon_H7a. apply refl_equal.
% 7.87/8.07 apply zenon_H7a. apply refl_equal.
% 7.87/8.07 apply zenon_H1d. apply refl_equal.
% 7.87/8.07 apply zenon_H7a. apply refl_equal.
% 7.87/8.07 apply zenon_H7a. apply refl_equal.
% 7.87/8.07 apply (zenon_notand_s _ _ zenon_H179); [ zenon_intro zenon_H17b | zenon_intro zenon_H176 ].
% 7.87/8.07 apply zenon_H17b. apply sym_equal. exact zenon_H6d.
% 7.87/8.07 apply (zenon_L234_); trivial.
% 7.87/8.07 (* end of lemma zenon_L235_ *)
% 7.87/8.07 assert (zenon_L236_ : (((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)) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> False).
% 7.87/8.07 do 0 intro. intros zenon_Hcc zenon_H25 zenon_H2c zenon_H89 zenon_Hbb zenon_H173 zenon_H47 zenon_Hdc.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H2d | zenon_intro zenon_Hcd ].
% 7.87/8.07 apply (zenon_L5_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hce ].
% 7.87/8.07 apply (zenon_L221_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 7.87/8.07 apply (zenon_L231_); trivial.
% 7.87/8.07 apply (zenon_L235_); trivial.
% 7.87/8.07 (* end of lemma zenon_L236_ *)
% 7.87/8.07 assert (zenon_L237_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e2)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (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) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (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) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H13b zenon_H16e zenon_H99 zenon_H162 zenon_H8f zenon_H49 zenon_H36 zenon_H30 zenon_H86 zenon_H16b zenon_H12d zenon_H157 zenon_H20 zenon_Hbc zenon_H29 zenon_H154 zenon_Hca zenon_Hff zenon_H64 zenon_H165 zenon_H130 zenon_Hf4 zenon_H170 zenon_H40 zenon_H33 zenon_Hcc zenon_H25 zenon_H2c zenon_H89 zenon_Hbb zenon_H173 zenon_Hef zenon_H67 zenon_Haa zenon_Hfc zenon_H5e.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.07 apply (zenon_L3_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.07 apply (zenon_L222_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.07 apply (zenon_L97_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.87/8.07 apply (zenon_L66_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.87/8.07 apply (zenon_L216_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.07 apply (zenon_L24_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.07 apply (zenon_L205_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H15a | zenon_intro zenon_H159 ].
% 7.87/8.07 apply (zenon_L223_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5d | zenon_intro zenon_H15b ].
% 7.87/8.07 apply (zenon_L224_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ].
% 7.87/8.07 apply (zenon_L230_); trivial.
% 7.87/8.07 apply (zenon_L236_); trivial.
% 7.87/8.07 apply (zenon_L139_); trivial.
% 7.87/8.07 apply (zenon_L109_); trivial.
% 7.87/8.07 (* end of lemma zenon_L237_ *)
% 7.87/8.07 assert (zenon_L238_ : ((op (e2) (e1)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H9c zenon_H98 zenon_H17c.
% 7.87/8.07 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H17d | zenon_intro zenon_H136 ].
% 7.87/8.07 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e2) (e0)) = (op (e2) (e1)))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H17c.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_H17d.
% 7.87/8.07 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H136].
% 7.87/8.07 cut (((op (e2) (e1)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 7.87/8.07 congruence.
% 7.87/8.07 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e2) (e0)))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H17e.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_H9c.
% 7.87/8.07 cut (((e2) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 7.87/8.07 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H136].
% 7.87/8.07 congruence.
% 7.87/8.07 apply zenon_H136. apply refl_equal.
% 7.87/8.07 apply zenon_H110. apply sym_equal. exact zenon_H98.
% 7.87/8.07 apply zenon_H136. apply refl_equal.
% 7.87/8.07 apply zenon_H136. apply refl_equal.
% 7.87/8.07 (* end of lemma zenon_L238_ *)
% 7.87/8.07 assert (zenon_L239_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H170 zenon_H2d zenon_H2c zenon_Hde zenon_Hdc zenon_H40 zenon_H33 zenon_H70.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H25 | zenon_intro zenon_H171 ].
% 7.87/8.07 apply (zenon_L5_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H172 ].
% 7.87/8.07 apply (zenon_L144_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H26 | zenon_intro zenon_H66 ].
% 7.87/8.07 apply (zenon_L225_); trivial.
% 7.87/8.07 apply (zenon_L226_); trivial.
% 7.87/8.07 (* end of lemma zenon_L239_ *)
% 7.87/8.07 assert (zenon_L240_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False).
% 7.87/8.07 do 0 intro. intros zenon_Hcc zenon_H70 zenon_H33 zenon_H40 zenon_Hde zenon_H2c zenon_H170 zenon_H89 zenon_Hbb zenon_Hdc zenon_H173 zenon_Hef zenon_H115.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H2d | zenon_intro zenon_Hcd ].
% 7.87/8.07 apply (zenon_L239_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hce ].
% 7.87/8.07 apply (zenon_L221_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 7.87/8.07 apply (zenon_L231_); trivial.
% 7.87/8.07 apply (zenon_L205_); trivial.
% 7.87/8.07 (* end of lemma zenon_L240_ *)
% 7.87/8.07 assert (zenon_L241_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H162 zenon_H28 zenon_H49 zenon_H36 zenon_Hca zenon_H30 zenon_H86 zenon_H16b zenon_Hde zenon_H8f zenon_Hcc zenon_H33 zenon_H40 zenon_H2c zenon_H170 zenon_H89 zenon_Hbb zenon_Hdc zenon_H173 zenon_Hef zenon_H25 zenon_H67 zenon_Haa zenon_Hfc zenon_H5e.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.87/8.07 apply (zenon_L213_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.87/8.07 apply (zenon_L216_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.07 apply (zenon_L24_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.07 apply (zenon_L205_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.07 apply (zenon_L240_); trivial.
% 7.87/8.07 apply (zenon_L91_); trivial.
% 7.87/8.07 apply (zenon_L109_); trivial.
% 7.87/8.07 (* end of lemma zenon_L241_ *)
% 7.87/8.07 assert (zenon_L242_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (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 (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H13b zenon_H20 zenon_H16e zenon_H17c zenon_H98 zenon_H162 zenon_H28 zenon_H49 zenon_H36 zenon_Hca zenon_H30 zenon_H86 zenon_H16b zenon_Hde zenon_H8f zenon_Hcc zenon_H33 zenon_H40 zenon_H2c zenon_H170 zenon_H89 zenon_Hbb zenon_H173 zenon_Hef zenon_H25 zenon_H67 zenon_Haa zenon_Hfc zenon_H5e.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.07 apply (zenon_L3_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.87/8.07 apply (zenon_L66_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.87/8.07 apply (zenon_L216_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.07 apply (zenon_L217_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.07 apply (zenon_L205_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.07 apply (zenon_L29_); trivial.
% 7.87/8.07 apply (zenon_L91_); trivial.
% 7.87/8.07 apply (zenon_L109_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.07 apply (zenon_L238_); trivial.
% 7.87/8.07 apply (zenon_L241_); trivial.
% 7.87/8.07 (* end of lemma zenon_L242_ *)
% 7.87/8.07 assert (zenon_L243_ : (~((e2) = (e3))) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e0)) = (e2)) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H6c zenon_H86 zenon_H1f.
% 7.87/8.07 cut (((op (e0) (e0)) = (e3)) = ((e2) = (e3))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H6c.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_H86.
% 7.87/8.07 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.07 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H24].
% 7.87/8.07 congruence.
% 7.87/8.07 exact (zenon_H24 zenon_H1f).
% 7.87/8.07 apply zenon_H69. apply refl_equal.
% 7.87/8.07 (* end of lemma zenon_L243_ *)
% 7.87/8.07 assert (zenon_L244_ : ((op (e3) (e0)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_Hb2 zenon_H54 zenon_H17f.
% 7.87/8.07 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_H180 | zenon_intro zenon_H181 ].
% 7.87/8.07 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e2) (e0)) = (op (e3) (e0)))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H17f.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_H180.
% 7.87/8.07 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 7.87/8.07 cut (((op (e3) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 7.87/8.07 congruence.
% 7.87/8.07 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (e0)) = (op (e2) (e0)))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H182.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_Hb2.
% 7.87/8.07 cut (((e1) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H183].
% 7.87/8.07 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 7.87/8.07 congruence.
% 7.87/8.07 apply zenon_H181. apply refl_equal.
% 7.87/8.07 apply zenon_H183. apply sym_equal. exact zenon_H54.
% 7.87/8.07 apply zenon_H181. apply refl_equal.
% 7.87/8.07 apply zenon_H181. apply refl_equal.
% 7.87/8.07 (* end of lemma zenon_L244_ *)
% 7.87/8.07 assert (zenon_L245_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((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 (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H142 zenon_H17f zenon_Hb2 zenon_Hc6 zenon_Hca zenon_Hcf zenon_H10b zenon_H157 zenon_H20 zenon_H29 zenon_H154 zenon_Hff zenon_H64 zenon_Hbc zenon_Hf1 zenon_Hfc zenon_H5e.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 7.87/8.07 apply (zenon_L244_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 7.87/8.07 apply (zenon_L228_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 7.87/8.07 apply (zenon_L175_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H15a | zenon_intro zenon_H159 ].
% 7.87/8.07 apply (zenon_L223_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5d | zenon_intro zenon_H15b ].
% 7.87/8.07 apply (zenon_L224_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ].
% 7.87/8.07 apply (zenon_L170_); trivial.
% 7.87/8.07 apply (zenon_L157_); trivial.
% 7.87/8.07 (* end of lemma zenon_L245_ *)
% 7.87/8.07 assert (zenon_L246_ : (((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) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_Hff zenon_H29 zenon_H154 zenon_H165 zenon_H6e zenon_H130 zenon_Hfc zenon_H5e.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H5d | zenon_intro zenon_H100 ].
% 7.87/8.07 apply (zenon_L224_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H101 ].
% 7.87/8.07 exact (zenon_H165 zenon_Hd6).
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hfd ].
% 7.87/8.07 apply (zenon_L142_); trivial.
% 7.87/8.07 apply (zenon_L109_); trivial.
% 7.87/8.07 (* end of lemma zenon_L246_ *)
% 7.87/8.07 assert (zenon_L247_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (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 (e2) (e0)) = (op (e2) (e1)))) -> ((op (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 (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H13b zenon_H20 zenon_H130 zenon_H165 zenon_H154 zenon_H29 zenon_Hff zenon_H17c zenon_H98 zenon_H162 zenon_H28 zenon_H49 zenon_H36 zenon_Hca zenon_H30 zenon_H86 zenon_H16b zenon_Hde zenon_H8f zenon_Hcc zenon_H33 zenon_H40 zenon_H2c zenon_H170 zenon_H89 zenon_Hbb zenon_H173 zenon_Hef zenon_H25 zenon_H67 zenon_Haa zenon_Hfc zenon_H5e.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.07 apply (zenon_L3_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.07 apply (zenon_L246_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.07 apply (zenon_L238_); trivial.
% 7.87/8.07 apply (zenon_L241_); trivial.
% 7.87/8.07 (* end of lemma zenon_L247_ *)
% 7.87/8.07 assert (zenon_L248_ : (((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))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (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 (e0) (e0)) = (op (e0) (e1)))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (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) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e3)) = (e1))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_Hd8 zenon_Haa zenon_H67 zenon_H25 zenon_Hef zenon_H173 zenon_H89 zenon_H170 zenon_H2c zenon_H40 zenon_H33 zenon_Hcc zenon_H8f zenon_H16b zenon_H86 zenon_H30 zenon_H36 zenon_H49 zenon_H28 zenon_H162 zenon_H98 zenon_H17c zenon_H130 zenon_H13b zenon_H16e zenon_H99 zenon_H12d zenon_H184 zenon_H5e zenon_Hfc zenon_Hf1 zenon_Hbc zenon_H64 zenon_Hff zenon_H154 zenon_H29 zenon_H20 zenon_H157 zenon_H10b zenon_Hca zenon_Hb2 zenon_H17f zenon_H142 zenon_H81 zenon_Hcf zenon_H165.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd9 ].
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H185 ].
% 7.87/8.07 apply (zenon_L220_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H186 ].
% 7.87/8.07 apply (zenon_L245_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hde ].
% 7.87/8.07 apply (zenon_L237_); trivial.
% 7.87/8.07 apply (zenon_L247_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hda ].
% 7.87/8.07 apply (zenon_L245_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd6 ].
% 7.87/8.07 apply (zenon_L68_); trivial.
% 7.87/8.07 exact (zenon_H165 zenon_Hd6).
% 7.87/8.07 (* end of lemma zenon_L248_ *)
% 7.87/8.07 assert (zenon_L249_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e1))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H15a zenon_He3 zenon_H55.
% 7.87/8.07 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H56 | zenon_intro zenon_H57 ].
% 7.87/8.07 cut (((e1) = (e1)) = ((e0) = (e1))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H55.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_H56.
% 7.87/8.07 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.87/8.07 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 7.87/8.07 congruence.
% 7.87/8.07 cut (((op (e0) (e3)) = (e0)) = ((e1) = (e0))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H58.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_H15a.
% 7.87/8.07 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.87/8.07 cut (((op (e0) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H187].
% 7.87/8.07 congruence.
% 7.87/8.07 exact (zenon_H187 zenon_He3).
% 7.87/8.07 apply zenon_H1d. apply refl_equal.
% 7.87/8.07 apply zenon_H57. apply refl_equal.
% 7.87/8.07 apply zenon_H57. apply refl_equal.
% 7.87/8.07 (* end of lemma zenon_L249_ *)
% 7.87/8.07 assert (zenon_L250_ : ((op (e2) (e3)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_Ha1 zenon_H98 zenon_H188.
% 7.87/8.07 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha4 ].
% 7.87/8.07 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (e0)) = (op (e2) (e3)))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H188.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_Ha3.
% 7.87/8.07 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 7.87/8.07 cut (((op (e2) (e3)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 7.87/8.07 congruence.
% 7.87/8.07 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e2) (e0)))).
% 7.87/8.07 intro zenon_D_pnotp.
% 7.87/8.07 apply zenon_H189.
% 7.87/8.07 rewrite <- zenon_D_pnotp.
% 7.87/8.07 exact zenon_Ha1.
% 7.87/8.07 cut (((e2) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 7.87/8.07 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 7.87/8.07 congruence.
% 7.87/8.07 apply zenon_Ha4. apply refl_equal.
% 7.87/8.07 apply zenon_H110. apply sym_equal. exact zenon_H98.
% 7.87/8.07 apply zenon_Ha4. apply refl_equal.
% 7.87/8.07 apply zenon_Ha4. apply refl_equal.
% 7.87/8.07 (* end of lemma zenon_L250_ *)
% 7.87/8.07 assert (zenon_L251_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.07 do 0 intro. intros zenon_H150 zenon_H5d zenon_H64 zenon_He3 zenon_Hbd zenon_H188 zenon_H98 zenon_Hfc zenon_H49.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H48 | zenon_intro zenon_H151 ].
% 7.87/8.07 apply (zenon_L21_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H140 | zenon_intro zenon_H152 ].
% 7.87/8.07 apply (zenon_L186_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H14e ].
% 7.87/8.07 apply (zenon_L250_); trivial.
% 7.87/8.07 apply (zenon_L187_); trivial.
% 7.87/8.07 (* end of lemma zenon_L251_ *)
% 7.87/8.07 assert (zenon_L252_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> False).
% 7.87/8.07 do 0 intro. intros zenon_Hcc zenon_H70 zenon_H33 zenon_H40 zenon_H2c zenon_H170 zenon_Hf4 zenon_Hca zenon_Ha2 zenon_H130 zenon_H47 zenon_Hdc.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H2d | zenon_intro zenon_Hcd ].
% 7.87/8.07 apply (zenon_L227_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hce ].
% 7.87/8.07 apply (zenon_L228_); trivial.
% 7.87/8.07 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 7.87/8.08 apply (zenon_L142_); trivial.
% 7.87/8.08 apply (zenon_L235_); trivial.
% 7.87/8.08 (* end of lemma zenon_L252_ *)
% 7.87/8.08 assert (zenon_L253_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> ((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 (e2) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e3) (e1)) = (e2)) -> False).
% 7.87/8.08 do 0 intro. intros zenon_H157 zenon_H55 zenon_H49 zenon_H98 zenon_H188 zenon_Hbd zenon_He3 zenon_H150 zenon_Hff zenon_H64 zenon_H165 zenon_Hfc zenon_H5e zenon_Hcc zenon_H70 zenon_H33 zenon_H40 zenon_H2c zenon_H170 zenon_Hf4 zenon_Hca zenon_Ha2 zenon_H130 zenon_Hdc.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H15a | zenon_intro zenon_H159 ].
% 7.87/8.08 apply (zenon_L249_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5d | zenon_intro zenon_H15b ].
% 7.87/8.08 apply (zenon_L251_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ].
% 7.87/8.08 apply (zenon_L230_); trivial.
% 7.87/8.08 apply (zenon_L252_); trivial.
% 7.87/8.08 (* end of lemma zenon_L253_ *)
% 7.87/8.08 assert (zenon_L254_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (((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) (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 (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False).
% 7.87/8.08 do 0 intro. intros zenon_H142 zenon_H99 zenon_Hdc zenon_H130 zenon_Ha2 zenon_Hca zenon_H170 zenon_H2c zenon_H40 zenon_H33 zenon_H70 zenon_Hcc zenon_H5e zenon_Hfc zenon_H165 zenon_H64 zenon_Hff zenon_H150 zenon_H188 zenon_H98 zenon_H49 zenon_H157 zenon_H55 zenon_H36 zenon_Hbd zenon_He3.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 7.87/8.08 apply (zenon_L41_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 7.87/8.08 apply (zenon_L253_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 7.87/8.08 apply (zenon_L155_); trivial.
% 7.87/8.08 apply (zenon_L186_); trivial.
% 7.87/8.08 (* end of lemma zenon_L254_ *)
% 7.87/8.08 assert (zenon_L255_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (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) (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 (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.08 do 0 intro. intros zenon_H13b zenon_H20 zenon_H17c zenon_H162 zenon_H28 zenon_H30 zenon_H86 zenon_H16b zenon_H6c zenon_H142 zenon_H99 zenon_H130 zenon_Ha2 zenon_Hca zenon_H170 zenon_H2c zenon_H40 zenon_H33 zenon_Hcc zenon_H165 zenon_H64 zenon_Hff zenon_H150 zenon_H188 zenon_H98 zenon_H49 zenon_H157 zenon_H55 zenon_H36 zenon_Hbd zenon_He3 zenon_Hef zenon_H25 zenon_H67 zenon_Haa zenon_Hfc zenon_H5e.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.08 apply (zenon_L3_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.08 apply (zenon_L142_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.08 apply (zenon_L238_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.87/8.08 apply (zenon_L213_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.87/8.08 apply (zenon_L216_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.08 apply (zenon_L24_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.08 apply (zenon_L205_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.08 apply (zenon_L254_); trivial.
% 7.87/8.08 apply (zenon_L73_); trivial.
% 7.87/8.08 apply (zenon_L109_); trivial.
% 7.87/8.08 (* end of lemma zenon_L255_ *)
% 7.87/8.08 assert (zenon_L256_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.08 do 0 intro. intros zenon_Hff zenon_H165 zenon_H49 zenon_H64 zenon_Hbd zenon_He3 zenon_H47 zenon_H150 zenon_Hfc zenon_H5e.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H5d | zenon_intro zenon_H100 ].
% 7.87/8.08 apply (zenon_L18_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H101 ].
% 7.87/8.08 exact (zenon_H165 zenon_Hd6).
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hfd ].
% 7.87/8.08 apply (zenon_L188_); trivial.
% 7.87/8.08 apply (zenon_L109_); trivial.
% 7.87/8.08 (* end of lemma zenon_L256_ *)
% 7.87/8.08 assert (zenon_L257_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.08 do 0 intro. intros zenon_H157 zenon_H55 zenon_H29 zenon_H154 zenon_Hf1 zenon_Hbc zenon_Hff zenon_H165 zenon_H49 zenon_H64 zenon_Hbd zenon_He3 zenon_H150 zenon_Hfc zenon_H5e.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H15a | zenon_intro zenon_H159 ].
% 7.87/8.08 apply (zenon_L249_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5d | zenon_intro zenon_H15b ].
% 7.87/8.08 apply (zenon_L224_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ].
% 7.87/8.08 apply (zenon_L194_); trivial.
% 7.87/8.08 apply (zenon_L256_); trivial.
% 7.87/8.08 (* end of lemma zenon_L257_ *)
% 7.87/8.08 assert (zenon_L258_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.08 do 0 intro. intros zenon_H61 zenon_H5e zenon_H165 zenon_Hff zenon_Hbc zenon_Hf1 zenon_H154 zenon_H55 zenon_H157 zenon_H25 zenon_H2c zenon_H38 zenon_H36 zenon_H150 zenon_H64 zenon_He3 zenon_Hbd zenon_H13a zenon_Hfc zenon_H49.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.87/8.08 apply (zenon_L257_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.87/8.08 apply (zenon_L5_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.87/8.08 apply (zenon_L8_); trivial.
% 7.87/8.08 apply (zenon_L193_); trivial.
% 7.87/8.08 (* end of lemma zenon_L258_ *)
% 7.87/8.08 assert (zenon_L259_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((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) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (((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) (e3)) = (e2))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.08 do 0 intro. intros zenon_H15f zenon_H17f zenon_H10b zenon_H184 zenon_H12d zenon_H16e zenon_H8f zenon_H89 zenon_H173 zenon_Hd8 zenon_Hb5 zenon_Hb6 zenon_H124 zenon_Haa zenon_H67 zenon_Hef zenon_H98 zenon_H188 zenon_Hcc zenon_H33 zenon_H40 zenon_H170 zenon_Hca zenon_H130 zenon_H99 zenon_H142 zenon_H6c zenon_H16b zenon_H86 zenon_H30 zenon_H28 zenon_H162 zenon_H17c zenon_H20 zenon_H13b zenon_H81 zenon_H29 zenon_H11e zenon_H61 zenon_H5e zenon_H165 zenon_Hff zenon_Hf1 zenon_H154 zenon_H55 zenon_H157 zenon_H25 zenon_H2c zenon_H38 zenon_H36 zenon_H150 zenon_H64 zenon_Hbd zenon_H13a zenon_Hfc zenon_H49.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 7.87/8.08 exact (zenon_Hb5 zenon_Hb9).
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 7.87/8.08 apply (zenon_L219_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 7.87/8.08 exact (zenon_Hb5 zenon_Hb9).
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.87/8.08 apply (zenon_L212_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.87/8.08 apply (zenon_L3_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.87/8.08 apply (zenon_L65_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H185 ].
% 7.87/8.08 apply (zenon_L220_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H186 ].
% 7.87/8.08 apply (zenon_L221_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hde ].
% 7.87/8.08 apply (zenon_L237_); trivial.
% 7.87/8.08 apply (zenon_L242_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 7.87/8.08 apply (zenon_L41_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.87/8.08 apply (zenon_L243_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.87/8.08 apply (zenon_L3_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.87/8.08 apply (zenon_L65_); trivial.
% 7.87/8.08 apply (zenon_L248_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.87/8.08 apply (zenon_L212_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.87/8.08 apply (zenon_L3_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.87/8.08 apply (zenon_L17_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.87/8.08 apply (zenon_L246_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.87/8.08 apply (zenon_L35_); trivial.
% 7.87/8.08 apply (zenon_L255_); trivial.
% 7.87/8.08 apply (zenon_L258_); trivial.
% 7.87/8.08 (* end of lemma zenon_L259_ *)
% 7.87/8.08 assert (zenon_L260_ : (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e0)) = (e0)) -> False).
% 7.87/8.08 do 0 intro. intros zenon_H20 zenon_H98 zenon_H31.
% 7.87/8.08 cut (((op (e2) (e0)) = (e2)) = ((e0) = (e2))).
% 7.87/8.08 intro zenon_D_pnotp.
% 7.87/8.08 apply zenon_H20.
% 7.87/8.08 rewrite <- zenon_D_pnotp.
% 7.87/8.08 exact zenon_H98.
% 7.87/8.08 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.87/8.08 cut (((op (e2) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H18a].
% 7.87/8.08 congruence.
% 7.87/8.08 exact (zenon_H18a zenon_H31).
% 7.87/8.08 apply zenon_H22. apply refl_equal.
% 7.87/8.08 (* end of lemma zenon_L260_ *)
% 7.87/8.08 assert (zenon_L261_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e2)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> False).
% 7.87/8.08 do 0 intro. intros zenon_He7 zenon_H55 zenon_H3e zenon_H115 zenon_Hef zenon_H173 zenon_Hdc zenon_Hbb zenon_H89 zenon_H170 zenon_H2c zenon_H40 zenon_H33 zenon_H70 zenon_Hcc zenon_Hcf zenon_Hf8 zenon_H8f zenon_Hfc.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hb2 | zenon_intro zenon_He8 ].
% 7.87/8.08 apply (zenon_L50_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ].
% 7.87/8.08 apply (zenon_L240_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_He0 | zenon_intro zenon_He2 ].
% 7.87/8.08 apply (zenon_L177_); trivial.
% 7.87/8.08 apply (zenon_L191_); trivial.
% 7.87/8.08 (* end of lemma zenon_L261_ *)
% 7.87/8.08 assert (zenon_L262_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (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 (e3) (e2)))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.08 do 0 intro. intros zenon_H162 zenon_H28 zenon_H49 zenon_H36 zenon_Hca zenon_H30 zenon_H86 zenon_H16b zenon_Hdc zenon_H6c zenon_He7 zenon_H55 zenon_H3e zenon_Hef zenon_H173 zenon_Hbb zenon_H89 zenon_H170 zenon_H2c zenon_H40 zenon_H33 zenon_Hcc zenon_Hcf zenon_Hf8 zenon_H8f zenon_H25 zenon_H67 zenon_Haa zenon_Hfc zenon_H5e.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.87/8.08 apply (zenon_L213_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.87/8.08 apply (zenon_L216_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.08 apply (zenon_L24_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.08 apply (zenon_L205_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.08 apply (zenon_L261_); trivial.
% 7.87/8.08 apply (zenon_L73_); trivial.
% 7.87/8.08 apply (zenon_L109_); trivial.
% 7.87/8.08 (* end of lemma zenon_L262_ *)
% 7.87/8.08 assert (zenon_L263_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.08 do 0 intro. intros zenon_H61 zenon_H5e zenon_Haa zenon_H67 zenon_Hef zenon_H55 zenon_H157 zenon_H98 zenon_H188 zenon_Hff zenon_H165 zenon_Hcc zenon_H33 zenon_H40 zenon_H170 zenon_Hca zenon_H130 zenon_H99 zenon_H142 zenon_H6c zenon_H16b zenon_H86 zenon_H30 zenon_H28 zenon_H162 zenon_H17c zenon_H20 zenon_H13b zenon_H81 zenon_H82 zenon_H154 zenon_Hbb zenon_H11e zenon_H25 zenon_H2c zenon_H38 zenon_H36 zenon_H150 zenon_H64 zenon_He3 zenon_Hbd zenon_H13a zenon_Hfc zenon_H49.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.87/8.08 apply (zenon_L116_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.87/8.08 apply (zenon_L246_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.87/8.08 apply (zenon_L35_); trivial.
% 7.87/8.08 apply (zenon_L255_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.87/8.08 apply (zenon_L5_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.87/8.08 apply (zenon_L8_); trivial.
% 7.87/8.08 apply (zenon_L193_); trivial.
% 7.87/8.08 (* end of lemma zenon_L263_ *)
% 7.87/8.08 assert (zenon_L264_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e3) (e1)) = (op (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 (e1) (e0)) = (op (e1) (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)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (e2))) -> (~((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 (e2) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (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) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (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))))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((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)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 7.87/8.08 do 0 intro. intros zenon_H15f zenon_H16e zenon_H12d zenon_He7 zenon_H173 zenon_H89 zenon_Hf8 zenon_H8f zenon_Hb6 zenon_Hb5 zenon_H49 zenon_Hfc zenon_H13a zenon_Hbd zenon_H64 zenon_H150 zenon_H36 zenon_H38 zenon_H2c zenon_H25 zenon_H157 zenon_H154 zenon_Hf1 zenon_Hff zenon_H165 zenon_H5e zenon_H61 zenon_Haa zenon_H67 zenon_Hef zenon_H188 zenon_Hcc zenon_H33 zenon_H40 zenon_H170 zenon_Hca zenon_H130 zenon_H142 zenon_H6c zenon_H16b zenon_H86 zenon_H30 zenon_H28 zenon_H162 zenon_H17c zenon_H20 zenon_H13b zenon_H81 zenon_H11e zenon_H124 zenon_H99 zenon_H98 zenon_H3e zenon_H55.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 7.87/8.08 exact (zenon_Hb5 zenon_Hb9).
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 7.87/8.08 exact (zenon_Hb5 zenon_Hb9).
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 7.87/8.08 apply (zenon_L220_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 7.87/8.08 apply (zenon_L41_); trivial.
% 7.87/8.08 apply (zenon_L50_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 7.87/8.08 exact (zenon_Hb5 zenon_Hb9).
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.08 apply (zenon_L3_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.08 apply (zenon_L222_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.08 apply (zenon_L238_); trivial.
% 7.87/8.08 apply (zenon_L262_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 7.87/8.08 apply (zenon_L41_); trivial.
% 7.87/8.08 apply (zenon_L50_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 7.87/8.08 exact (zenon_Hb5 zenon_Hb9).
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.87/8.08 apply (zenon_L243_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.87/8.08 apply (zenon_L3_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.87/8.08 apply (zenon_L263_); trivial.
% 7.87/8.08 apply (zenon_L258_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 7.87/8.08 apply (zenon_L41_); trivial.
% 7.87/8.08 apply (zenon_L50_); trivial.
% 7.87/8.08 (* end of lemma zenon_L264_ *)
% 7.87/8.08 assert (zenon_L265_ : ((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((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)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (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 (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (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) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((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)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 7.87/8.08 do 0 intro. intros zenon_H15e zenon_H67 zenon_H86 zenon_H15f zenon_H11e zenon_H55 zenon_H150 zenon_H188 zenon_Hbd zenon_H61 zenon_H38 zenon_H124 zenon_H8f zenon_H89 zenon_H13b zenon_H154 zenon_H64 zenon_H165 zenon_H130 zenon_Hff zenon_H33 zenon_H40 zenon_H170 zenon_H173 zenon_H157 zenon_H17c zenon_H184 zenon_H99 zenon_H20 zenon_H98 zenon_H17f zenon_H10b zenon_Hf1 zenon_H142 zenon_H81 zenon_Hd8 zenon_H6c zenon_Hb6 zenon_H28 zenon_H16b zenon_Hfc zenon_H49 zenon_H36 zenon_Hca zenon_H30 zenon_Haa zenon_H12d zenon_H2c zenon_H25 zenon_Hcc zenon_Hef zenon_H16e zenon_H5e zenon_H162 zenon_Hb5 zenon_Hf8 zenon_He7 zenon_H18b.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H13a | zenon_intro zenon_H15c ].
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 7.87/8.08 apply (zenon_L36_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 7.87/8.08 apply (zenon_L259_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 7.87/8.08 apply (zenon_L260_); trivial.
% 7.87/8.08 apply (zenon_L264_); trivial.
% 7.87/8.08 apply (zenon_L215_); trivial.
% 7.87/8.08 (* end of lemma zenon_L265_ *)
% 7.87/8.08 assert (zenon_L266_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 7.87/8.08 do 0 intro. intros zenon_H95 zenon_Hb0 zenon_Haf zenon_H8f zenon_Hbb zenon_H6c zenon_H98 zenon_Hfc zenon_H128.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.87/8.08 apply (zenon_L49_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.87/8.08 apply (zenon_L66_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.87/8.08 apply (zenon_L136_); trivial.
% 7.87/8.08 apply (zenon_L137_); trivial.
% 7.87/8.08 (* end of lemma zenon_L266_ *)
% 7.87/8.08 assert (zenon_L267_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((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 (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.08 do 0 intro. intros zenon_H142 zenon_H17f zenon_Hb2 zenon_Hc6 zenon_Hca zenon_H55 zenon_H4e zenon_H1e zenon_H3d zenon_H25 zenon_H40 zenon_H36 zenon_H5a zenon_Hff zenon_H64 zenon_Hbc zenon_Hf1 zenon_Hfc zenon_H5e.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 7.87/8.08 apply (zenon_L244_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 7.87/8.08 apply (zenon_L228_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 7.87/8.08 apply (zenon_L155_); trivial.
% 7.87/8.08 apply (zenon_L158_); trivial.
% 7.87/8.08 (* end of lemma zenon_L267_ *)
% 7.87/8.08 assert (zenon_L268_ : ((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((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)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (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) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (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) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e2) (e0)) = (e2)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((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 (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((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)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> False).
% 7.87/8.08 do 0 intro. intros zenon_H15e zenon_H15f zenon_H11e zenon_H150 zenon_H188 zenon_Hbd zenon_H61 zenon_H38 zenon_H89 zenon_H13b zenon_H154 zenon_H130 zenon_H33 zenon_H170 zenon_H173 zenon_H157 zenon_H17c zenon_H184 zenon_H10b zenon_Hb6 zenon_H28 zenon_H16b zenon_H49 zenon_H30 zenon_Haa zenon_H12d zenon_H2c zenon_Hcc zenon_Hef zenon_H16e zenon_H162 zenon_Hb5 zenon_Hf8 zenon_He7 zenon_H18b zenon_H124 zenon_H20 zenon_H99 zenon_Hc3 zenon_H67 zenon_H128 zenon_Hfc zenon_H98 zenon_Hd8 zenon_H8f zenon_H5e zenon_Hf1 zenon_H64 zenon_Hff zenon_H5a zenon_H36 zenon_H40 zenon_H25 zenon_H3d zenon_H1e zenon_H4e zenon_H55 zenon_Hca zenon_H17f zenon_H142 zenon_H81 zenon_Hcf zenon_H165 zenon_Haf zenon_H95 zenon_H6c.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 7.87/8.08 exact (zenon_Hb5 zenon_Hb9).
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.87/8.08 apply (zenon_L212_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.87/8.08 apply (zenon_L3_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.87/8.08 apply (zenon_L65_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.87/8.08 apply (zenon_L265_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.87/8.08 apply (zenon_L24_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.87/8.08 apply (zenon_L266_); trivial.
% 7.87/8.08 apply (zenon_L57_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 7.87/8.08 apply (zenon_L41_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.87/8.08 apply (zenon_L2_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.87/8.08 apply (zenon_L3_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.87/8.08 apply (zenon_L65_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.87/8.08 apply (zenon_L36_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.87/8.08 apply (zenon_L24_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.87/8.08 apply (zenon_L49_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd9 ].
% 7.87/8.08 apply (zenon_L66_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hda ].
% 7.87/8.08 apply (zenon_L267_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd6 ].
% 7.87/8.08 apply (zenon_L68_); trivial.
% 7.87/8.08 exact (zenon_H165 zenon_Hd6).
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.87/8.08 apply (zenon_L136_); trivial.
% 7.87/8.08 apply (zenon_L137_); trivial.
% 7.87/8.08 apply (zenon_L57_); trivial.
% 7.87/8.08 (* end of lemma zenon_L268_ *)
% 7.87/8.08 assert (zenon_L269_ : ((op (e1) (e0)) = (e2)) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((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 (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (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 (e1) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (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 (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((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)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3))) -> (~((e0) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> False).
% 7.87/8.08 do 0 intro. intros zenon_H5b zenon_H158 zenon_H43 zenon_H117 zenon_H14a zenon_H12b zenon_H137 zenon_H134 zenon_H131 zenon_Hec zenon_H10e zenon_H5d zenon_H64 zenon_Ha7 zenon_H95 zenon_Haf zenon_H165 zenon_Hcf zenon_H81 zenon_H142 zenon_H17f zenon_Hca zenon_H55 zenon_H4e zenon_H1e zenon_H3d zenon_H25 zenon_H40 zenon_H5a zenon_Hff zenon_Hf1 zenon_H5e zenon_H8f zenon_Hd8 zenon_Hfc zenon_H128 zenon_H67 zenon_Hc3 zenon_H99 zenon_H124 zenon_H18b zenon_He7 zenon_Hf8 zenon_Hb5 zenon_H162 zenon_H16e zenon_Hef zenon_Hcc zenon_H2c zenon_H12d zenon_Haa zenon_H30 zenon_H49 zenon_H16b zenon_H28 zenon_Hb6 zenon_H10b zenon_H184 zenon_H17c zenon_H157 zenon_H173 zenon_H170 zenon_H33 zenon_H130 zenon_H154 zenon_H13b zenon_H89 zenon_H38 zenon_H61 zenon_Hbd zenon_H188 zenon_H150 zenon_H11e zenon_H15f zenon_H15e zenon_H20 zenon_H13a zenon_H51 zenon_H6c.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.08 apply (zenon_L3_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.08 apply (zenon_L84_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.08 apply (zenon_L207_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.08 apply (zenon_L24_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.08 apply (zenon_L201_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.87/8.08 apply (zenon_L6_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.87/8.08 apply (zenon_L7_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H98 | zenon_intro zenon_Ha8 ].
% 7.87/8.08 apply (zenon_L268_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9c | zenon_intro zenon_Ha9 ].
% 7.87/8.08 apply (zenon_L43_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha1 ].
% 7.87/8.08 apply (zenon_L44_); trivial.
% 7.87/8.08 exact (zenon_H13a zenon_Ha1).
% 7.87/8.08 apply (zenon_L21_); trivial.
% 7.87/8.08 apply (zenon_L73_); trivial.
% 7.87/8.08 (* end of lemma zenon_L269_ *)
% 7.87/8.08 assert (zenon_L270_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 7.87/8.08 do 0 intro. intros zenon_H95 zenon_Hb0 zenon_Haf zenon_H89 zenon_H6d zenon_H67 zenon_H31 zenon_H6c zenon_H93.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.87/8.08 apply (zenon_L49_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.87/8.08 apply (zenon_L37_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.87/8.08 apply (zenon_L123_); trivial.
% 7.87/8.08 apply (zenon_L39_); trivial.
% 7.87/8.08 (* end of lemma zenon_L270_ *)
% 7.87/8.08 assert (zenon_L271_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (~((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 (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> False).
% 7.87/8.08 do 0 intro. intros zenon_H13b zenon_H20 zenon_H5d zenon_H64 zenon_H142 zenon_H8f zenon_H99 zenon_H55 zenon_H4e zenon_H1e zenon_H3d zenon_H25 zenon_H40 zenon_H5a zenon_Hff zenon_Hbc zenon_Hf1 zenon_H5e zenon_H33 zenon_H67 zenon_H93 zenon_H51 zenon_Ha7 zenon_H128 zenon_Hfc zenon_H6c zenon_H6d zenon_H89 zenon_Haf zenon_Hb0 zenon_H95 zenon_H134 zenon_H38 zenon_H83 zenon_H13a.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.08 apply (zenon_L3_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.08 apply (zenon_L26_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.87/8.08 apply (zenon_L270_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.87/8.08 apply (zenon_L7_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 7.87/8.08 apply (zenon_L159_); trivial.
% 7.87/8.08 apply (zenon_L21_); trivial.
% 7.87/8.08 apply (zenon_L162_); trivial.
% 7.87/8.08 (* end of lemma zenon_L271_ *)
% 7.87/8.08 assert (zenon_L272_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e2)) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((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))) -> (~((e1) = (e2))) -> (~((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 (e1) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 7.87/8.08 do 0 intro. intros zenon_H11e zenon_Hcf zenon_H81 zenon_Hd8 zenon_H13a zenon_H38 zenon_H134 zenon_H95 zenon_Hb0 zenon_Haf zenon_H89 zenon_H6d zenon_H6c zenon_Hfc zenon_H128 zenon_Ha7 zenon_H51 zenon_H93 zenon_H67 zenon_H33 zenon_H5e zenon_Hff zenon_H5a zenon_H40 zenon_H25 zenon_H3d zenon_H1e zenon_H4e zenon_H55 zenon_H99 zenon_H8f zenon_H142 zenon_H64 zenon_H5d zenon_H20 zenon_H13b zenon_Hf1 zenon_Hbc.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.87/8.08 apply (zenon_L182_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.87/8.08 apply (zenon_L26_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.87/8.08 apply (zenon_L271_); trivial.
% 7.87/8.08 apply (zenon_L113_); trivial.
% 7.87/8.08 (* end of lemma zenon_L272_ *)
% 7.87/8.08 assert (zenon_L273_ : ((op (e2) (e2)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False).
% 7.87/8.08 do 0 intro. intros zenon_H15c zenon_H70 zenon_H18e.
% 7.87/8.08 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 7.87/8.08 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e2) (e1)) = (op (e2) (e2)))).
% 7.87/8.08 intro zenon_D_pnotp.
% 7.87/8.08 apply zenon_H18e.
% 7.87/8.08 rewrite <- zenon_D_pnotp.
% 7.87/8.08 exact zenon_H39.
% 7.87/8.08 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 7.87/8.08 cut (((op (e2) (e2)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H18f].
% 7.87/8.08 congruence.
% 7.87/8.08 cut (((op (e2) (e2)) = (e3)) = ((op (e2) (e2)) = (op (e2) (e1)))).
% 7.87/8.08 intro zenon_D_pnotp.
% 7.87/8.08 apply zenon_H18f.
% 7.87/8.08 rewrite <- zenon_D_pnotp.
% 7.87/8.08 exact zenon_H15c.
% 7.87/8.08 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hcb].
% 7.87/8.08 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 7.87/8.08 congruence.
% 7.87/8.08 apply zenon_H3a. apply refl_equal.
% 7.87/8.08 apply zenon_Hcb. apply sym_equal. exact zenon_H70.
% 7.87/8.08 apply zenon_H3a. apply refl_equal.
% 7.87/8.08 apply zenon_H3a. apply refl_equal.
% 7.87/8.08 (* end of lemma zenon_L273_ *)
% 7.87/8.08 assert (zenon_L274_ : ((op (e2) (e2)) = (e3)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False).
% 7.87/8.08 do 0 intro. intros zenon_H15c zenon_Hb0 zenon_H10b.
% 7.87/8.08 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 7.87/8.08 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e0) (e2)) = (op (e2) (e2)))).
% 7.87/8.08 intro zenon_D_pnotp.
% 7.87/8.08 apply zenon_H10b.
% 7.87/8.08 rewrite <- zenon_D_pnotp.
% 7.87/8.08 exact zenon_H39.
% 7.87/8.08 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 7.87/8.08 cut (((op (e2) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10c].
% 7.87/8.08 congruence.
% 7.87/8.08 cut (((op (e2) (e2)) = (e3)) = ((op (e2) (e2)) = (op (e0) (e2)))).
% 7.87/8.08 intro zenon_D_pnotp.
% 7.87/8.08 apply zenon_H10c.
% 7.87/8.08 rewrite <- zenon_D_pnotp.
% 7.87/8.08 exact zenon_H15c.
% 7.87/8.08 cut (((e3) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb1].
% 7.87/8.08 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 7.87/8.08 congruence.
% 7.87/8.08 apply zenon_H3a. apply refl_equal.
% 7.87/8.08 apply zenon_Hb1. apply sym_equal. exact zenon_Hb0.
% 7.87/8.08 apply zenon_H3a. apply refl_equal.
% 7.87/8.08 apply zenon_H3a. apply refl_equal.
% 7.87/8.08 (* end of lemma zenon_L274_ *)
% 7.87/8.08 assert (zenon_L275_ : (((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 (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 7.87/8.08 do 0 intro. intros zenon_Hc3 zenon_H1e zenon_H67 zenon_H25 zenon_H10b zenon_H15c zenon_Hbc zenon_H6c.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.87/8.08 apply (zenon_L36_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.87/8.08 apply (zenon_L24_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.87/8.08 apply (zenon_L274_); trivial.
% 7.87/8.08 apply (zenon_L57_); trivial.
% 7.87/8.08 (* end of lemma zenon_L275_ *)
% 7.87/8.08 assert (zenon_L276_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 7.87/8.08 do 0 intro. intros zenon_Haa zenon_H67 zenon_H25 zenon_H6c zenon_H6e zenon_H36 zenon_Hfc zenon_H12d.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.08 apply (zenon_L24_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.08 apply (zenon_L26_); trivial.
% 7.87/8.08 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.08 apply (zenon_L29_); trivial.
% 7.87/8.08 apply (zenon_L139_); trivial.
% 7.87/8.08 (* end of lemma zenon_L276_ *)
% 7.87/8.08 assert (zenon_L277_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (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 (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H124 zenon_H8f zenon_H95 zenon_Haf zenon_H6c zenon_H98 zenon_H128 zenon_H25 zenon_H67 zenon_H61 zenon_Haa zenon_Hef zenon_H55 zenon_H188 zenon_H165 zenon_Hcc zenon_H33 zenon_H40 zenon_H170 zenon_Hca zenon_H130 zenon_H99 zenon_H142 zenon_H16b zenon_H30 zenon_H28 zenon_H162 zenon_H17c zenon_H20 zenon_H13b zenon_H81 zenon_H11e zenon_H2c zenon_H38 zenon_H36 zenon_Hc3 zenon_H157 zenon_H158 zenon_H13a zenon_Hf1 zenon_Hff zenon_H154 zenon_Hbb zenon_H49 zenon_H64 zenon_Hbd zenon_He3 zenon_H150 zenon_Hfc zenon_H5e.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.87/8.09 apply (zenon_L212_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.87/8.09 apply (zenon_L3_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.87/8.09 apply (zenon_L263_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.87/8.09 apply (zenon_L24_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.87/8.09 apply (zenon_L266_); trivial.
% 7.87/8.09 apply (zenon_L89_); trivial.
% 7.87/8.09 apply (zenon_L197_); trivial.
% 7.87/8.09 (* end of lemma zenon_L277_ *)
% 7.87/8.09 assert (zenon_L278_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (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) (e3)) = (op (e3) (e3)))) -> ((op (e3) (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 (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H142 zenon_H99 zenon_H130 zenon_Hca zenon_H170 zenon_H2c zenon_H40 zenon_H33 zenon_Hcc zenon_H5e zenon_Hfc zenon_H165 zenon_H64 zenon_Hff zenon_H150 zenon_H188 zenon_H49 zenon_H157 zenon_H55 zenon_H36 zenon_Hbd zenon_He3 zenon_H95 zenon_Hb0 zenon_Haf zenon_H89 zenon_H128 zenon_H25 zenon_H67 zenon_Haa zenon_H12b zenon_H12d zenon_H20 zenon_H13b zenon_H81 zenon_H82 zenon_H29 zenon_H154 zenon_H11e zenon_H6c zenon_H98 zenon_H8f zenon_Hb2.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.87/8.09 apply (zenon_L49_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.87/8.09 apply (zenon_L17_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.87/8.09 apply (zenon_L246_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.87/8.09 apply (zenon_L35_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.09 apply (zenon_L3_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.09 apply (zenon_L142_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.09 apply (zenon_L204_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.09 apply (zenon_L24_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.09 apply (zenon_L161_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.09 apply (zenon_L254_); trivial.
% 7.87/8.09 apply (zenon_L73_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.87/8.09 apply (zenon_L136_); trivial.
% 7.87/8.09 apply (zenon_L167_); trivial.
% 7.87/8.09 (* end of lemma zenon_L278_ *)
% 7.87/8.09 assert (zenon_L279_ : (~((op (e0) (e3)) = (e0))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (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) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H158 zenon_H8f zenon_H98 zenon_H6c zenon_H11e zenon_H81 zenon_H13b zenon_H20 zenon_H12d zenon_H12b zenon_Haa zenon_H67 zenon_H128 zenon_H89 zenon_Haf zenon_H95 zenon_H188 zenon_Hcc zenon_H33 zenon_H40 zenon_H170 zenon_Hca zenon_H130 zenon_H99 zenon_H142 zenon_H15e zenon_H15f zenon_H124 zenon_H173 zenon_H17c zenon_H184 zenon_H17f zenon_H10b zenon_Hd8 zenon_Hb6 zenon_H28 zenon_H16b zenon_H30 zenon_Hef zenon_H16e zenon_H162 zenon_Hb5 zenon_Hf8 zenon_He7 zenon_H18b zenon_Hc3 zenon_H61 zenon_H5e zenon_H165 zenon_Hff zenon_Hf1 zenon_H154 zenon_H55 zenon_H157 zenon_H25 zenon_H2c zenon_H38 zenon_H36 zenon_H150 zenon_H64 zenon_He3 zenon_Hbd zenon_H13a zenon_Hfc zenon_H49.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 7.87/8.09 exact (zenon_Hb5 zenon_Hb9).
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 7.87/8.09 apply (zenon_L277_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 7.87/8.09 apply (zenon_L41_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.87/8.09 apply (zenon_L212_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.87/8.09 apply (zenon_L3_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.87/8.09 apply (zenon_L265_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.87/8.09 apply (zenon_L24_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.87/8.09 apply (zenon_L278_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.87/8.09 apply (zenon_L5_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.87/8.09 apply (zenon_L8_); trivial.
% 7.87/8.09 apply (zenon_L193_); trivial.
% 7.87/8.09 apply (zenon_L89_); trivial.
% 7.87/8.09 apply (zenon_L258_); trivial.
% 7.87/8.09 (* end of lemma zenon_L279_ *)
% 7.87/8.09 assert (zenon_L280_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H13b zenon_H20 zenon_Ha2 zenon_H130 zenon_H12d zenon_H12b zenon_Haa zenon_H67 zenon_H89 zenon_H88 zenon_Hca zenon_H36 zenon_Hc7 zenon_H2c zenon_H25 zenon_Hcc zenon_H6c.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.09 apply (zenon_L3_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.09 apply (zenon_L142_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.09 apply (zenon_L204_); trivial.
% 7.87/8.09 apply (zenon_L208_); trivial.
% 7.87/8.09 (* end of lemma zenon_L280_ *)
% 7.87/8.09 assert (zenon_L281_ : (((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) (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) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H11e zenon_H5e zenon_Hfc zenon_H165 zenon_H154 zenon_H29 zenon_Hff zenon_H82 zenon_H81 zenon_H13b zenon_H20 zenon_H130 zenon_H12d zenon_H12b zenon_Haa zenon_H67 zenon_H89 zenon_H88 zenon_Hca zenon_H36 zenon_Hc7 zenon_H2c zenon_H25 zenon_Hcc zenon_H6c.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.87/8.09 apply (zenon_L17_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.87/8.09 apply (zenon_L246_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.87/8.09 apply (zenon_L35_); trivial.
% 7.87/8.09 apply (zenon_L280_); trivial.
% 7.87/8.09 (* end of lemma zenon_L281_ *)
% 7.87/8.09 assert (zenon_L282_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e1) (e0)) = (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) (e3)) = (e1)) -> (~((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).
% 7.87/8.09 do 0 intro. intros zenon_H157 zenon_H158 zenon_H29 zenon_H154 zenon_Hff zenon_H140 zenon_H64 zenon_Hbc zenon_Hf1 zenon_Hfc zenon_H5e.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H15a | zenon_intro zenon_H159 ].
% 7.87/8.09 exact (zenon_H158 zenon_H15a).
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5d | zenon_intro zenon_H15b ].
% 7.87/8.09 apply (zenon_L224_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ].
% 7.87/8.09 apply (zenon_L170_); trivial.
% 7.87/8.09 apply (zenon_L157_); trivial.
% 7.87/8.09 (* end of lemma zenon_L282_ *)
% 7.87/8.09 assert (zenon_L283_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (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) (e0)) = (e0)) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H190 zenon_H150 zenon_Hbd zenon_H49 zenon_H13a zenon_Hbb zenon_H5e zenon_Hf1 zenon_Hbc zenon_H64 zenon_Hff zenon_H154 zenon_H29 zenon_H158 zenon_H157 zenon_H8f zenon_Hfc.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_He3 | zenon_intro zenon_H191 ].
% 7.87/8.09 apply (zenon_L197_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H192 ].
% 7.87/8.09 apply (zenon_L195_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H140 | zenon_intro zenon_He2 ].
% 7.87/8.09 apply (zenon_L282_); trivial.
% 7.87/8.09 apply (zenon_L191_); trivial.
% 7.87/8.09 (* end of lemma zenon_L283_ *)
% 7.87/8.09 assert (zenon_L284_ : ((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((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) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (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 (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e3)) -> (~((e0) = (e3))) -> ((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3))) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H193 zenon_H18b zenon_He7 zenon_Hf8 zenon_Hb5 zenon_H162 zenon_H5e zenon_H16e zenon_Hef zenon_Hcc zenon_H25 zenon_H2c zenon_H12d zenon_Haa zenon_H30 zenon_Hca zenon_H36 zenon_H49 zenon_Hfc zenon_H16b zenon_H28 zenon_Hb6 zenon_H6c zenon_Hd8 zenon_H81 zenon_H142 zenon_Hf1 zenon_H10b zenon_H17f zenon_H98 zenon_H20 zenon_H99 zenon_H184 zenon_H17c zenon_H157 zenon_H173 zenon_H170 zenon_H40 zenon_H33 zenon_Hff zenon_H130 zenon_H64 zenon_H154 zenon_H13b zenon_H89 zenon_H8f zenon_H124 zenon_H38 zenon_H61 zenon_Hbd zenon_H188 zenon_H150 zenon_H55 zenon_H11e zenon_H15f zenon_H86 zenon_H67 zenon_H15e.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H165 | zenon_intro zenon_H6d ].
% 7.87/8.09 apply (zenon_L265_); trivial.
% 7.87/8.09 apply (zenon_L216_); trivial.
% 7.87/8.09 (* end of lemma zenon_L284_ *)
% 7.87/8.09 assert (zenon_L285_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((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)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((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 (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (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) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((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)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 7.87/8.09 do 0 intro. intros zenon_Hc3 zenon_H15e zenon_H15f zenon_H11e zenon_H55 zenon_H150 zenon_H188 zenon_Hbd zenon_H61 zenon_H38 zenon_H124 zenon_H8f zenon_H13b zenon_H154 zenon_H64 zenon_H130 zenon_Hff zenon_H33 zenon_H40 zenon_H170 zenon_H173 zenon_H157 zenon_H17c zenon_H184 zenon_H99 zenon_H20 zenon_H17f zenon_H10b zenon_Hf1 zenon_H142 zenon_H81 zenon_Hd8 zenon_Hb6 zenon_H28 zenon_H16b zenon_H49 zenon_H36 zenon_Hca zenon_H30 zenon_Haa zenon_H12d zenon_H2c zenon_Hcc zenon_Hef zenon_H16e zenon_H5e zenon_H162 zenon_Hb5 zenon_Hf8 zenon_He7 zenon_H18b zenon_H193 zenon_H67 zenon_H25 zenon_H128 zenon_Hfc zenon_H98 zenon_H6d zenon_H89 zenon_Haf zenon_H95 zenon_Hbc zenon_H6c.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.87/8.09 apply (zenon_L284_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.87/8.09 apply (zenon_L24_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.87/8.09 apply (zenon_L161_); trivial.
% 7.87/8.09 apply (zenon_L57_); trivial.
% 7.87/8.09 (* end of lemma zenon_L285_ *)
% 7.87/8.09 assert (zenon_L286_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 7.87/8.09 do 0 intro. intros zenon_Hc3 zenon_H49 zenon_H36 zenon_Hca zenon_H30 zenon_H16b zenon_H67 zenon_H25 zenon_H128 zenon_Hfc zenon_H98 zenon_H6c zenon_H6d zenon_H89 zenon_Haf zenon_H95 zenon_He3 zenon_H8f.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.87/8.09 apply (zenon_L216_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.87/8.09 apply (zenon_L24_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.87/8.09 apply (zenon_L161_); trivial.
% 7.87/8.09 apply (zenon_L89_); trivial.
% 7.87/8.09 (* end of lemma zenon_L286_ *)
% 7.87/8.09 assert (zenon_L287_ : (((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) (e0)) = (e1)))\/((op (e1) (e1)) = (e0)))/\(((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0)))/\((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 7.87/8.09 do 0 intro. intros zenon_Hec zenon_Had zenon_H5e zenon_H47 zenon_H36 zenon_H38 zenon_H2c zenon_H25 zenon_H20 zenon_H61 zenon_H99 zenon_H54 zenon_H6c zenon_H92.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.87/8.09 apply (zenon_L75_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.87/8.09 apply (zenon_L19_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.87/8.09 apply (zenon_L41_); trivial.
% 7.87/8.09 apply (zenon_L39_); trivial.
% 7.87/8.09 (* end of lemma zenon_L287_ *)
% 7.87/8.09 assert (zenon_L288_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H28 zenon_H1f zenon_H5b.
% 7.87/8.09 cut (((op (e0) (e0)) = (e2)) = ((op (e0) (e0)) = (op (e1) (e0)))).
% 7.87/8.09 intro zenon_D_pnotp.
% 7.87/8.09 apply zenon_H28.
% 7.87/8.09 rewrite <- zenon_D_pnotp.
% 7.87/8.09 exact zenon_H1f.
% 7.87/8.09 cut (((e2) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 7.87/8.09 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 7.87/8.09 congruence.
% 7.87/8.09 apply zenon_H2b. apply refl_equal.
% 7.87/8.09 apply zenon_Hea. apply sym_equal. exact zenon_H5b.
% 7.87/8.09 (* end of lemma zenon_L288_ *)
% 7.87/8.09 assert (zenon_L289_ : (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H3d zenon_H1f zenon_H93.
% 7.87/8.09 cut (((op (e0) (e0)) = (e2)) = ((op (e0) (e0)) = (op (e3) (e0)))).
% 7.87/8.09 intro zenon_D_pnotp.
% 7.87/8.09 apply zenon_H3d.
% 7.87/8.09 rewrite <- zenon_D_pnotp.
% 7.87/8.09 exact zenon_H1f.
% 7.87/8.09 cut (((e2) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H194].
% 7.87/8.09 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 7.87/8.09 congruence.
% 7.87/8.09 apply zenon_H2b. apply refl_equal.
% 7.87/8.09 apply zenon_H194. apply sym_equal. exact zenon_H93.
% 7.87/8.09 (* end of lemma zenon_L289_ *)
% 7.87/8.09 assert (zenon_L290_ : ((op (e3) (e3)) = (e0)) -> ((op (e3) (e3)) = (e2)) -> (~((e0) = (e2))) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H47 zenon_H195 zenon_H20.
% 7.87/8.09 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ].
% 7.87/8.09 cut (((e2) = (e2)) = ((e0) = (e2))).
% 7.87/8.09 intro zenon_D_pnotp.
% 7.87/8.09 apply zenon_H20.
% 7.87/8.09 rewrite <- zenon_D_pnotp.
% 7.87/8.09 exact zenon_H21.
% 7.87/8.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.87/8.09 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 7.87/8.09 congruence.
% 7.87/8.09 cut (((op (e3) (e3)) = (e0)) = ((e2) = (e0))).
% 7.87/8.09 intro zenon_D_pnotp.
% 7.87/8.09 apply zenon_H23.
% 7.87/8.09 rewrite <- zenon_D_pnotp.
% 7.87/8.09 exact zenon_H47.
% 7.87/8.09 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.87/8.09 cut (((op (e3) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H196].
% 7.87/8.09 congruence.
% 7.87/8.09 exact (zenon_H196 zenon_H195).
% 7.87/8.09 apply zenon_H1d. apply refl_equal.
% 7.87/8.09 apply zenon_H22. apply refl_equal.
% 7.87/8.09 apply zenon_H22. apply refl_equal.
% 7.87/8.09 (* end of lemma zenon_L290_ *)
% 7.87/8.09 assert (zenon_L291_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H197 zenon_H1f zenon_H3d zenon_H6e zenon_H173 zenon_H9f zenon_H5a zenon_H47 zenon_H20.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H93 | zenon_intro zenon_H198 ].
% 7.87/8.09 apply (zenon_L289_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hdc | zenon_intro zenon_H199 ].
% 7.87/8.09 apply (zenon_L231_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H148 | zenon_intro zenon_H195 ].
% 7.87/8.09 apply (zenon_L178_); trivial.
% 7.87/8.09 apply (zenon_L290_); trivial.
% 7.87/8.09 (* end of lemma zenon_L291_ *)
% 7.87/8.09 assert (zenon_L292_ : ((op (e3) (e3)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H47 zenon_H41 zenon_H12d.
% 7.87/8.09 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H4a | zenon_intro zenon_H4b ].
% 7.87/8.09 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e1)) = (op (e3) (e3)))).
% 7.87/8.09 intro zenon_D_pnotp.
% 7.87/8.09 apply zenon_H12d.
% 7.87/8.09 rewrite <- zenon_D_pnotp.
% 7.87/8.09 exact zenon_H4a.
% 7.87/8.09 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.87/8.09 cut (((op (e3) (e3)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H12e].
% 7.87/8.09 congruence.
% 7.87/8.09 cut (((op (e3) (e3)) = (e0)) = ((op (e3) (e3)) = (op (e3) (e1)))).
% 7.87/8.09 intro zenon_D_pnotp.
% 7.87/8.09 apply zenon_H12e.
% 7.87/8.09 rewrite <- zenon_D_pnotp.
% 7.87/8.09 exact zenon_H47.
% 7.87/8.09 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H42].
% 7.87/8.09 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.87/8.09 congruence.
% 7.87/8.09 apply zenon_H4b. apply refl_equal.
% 7.87/8.09 apply zenon_H42. apply sym_equal. exact zenon_H41.
% 7.87/8.09 apply zenon_H4b. apply refl_equal.
% 7.87/8.09 apply zenon_H4b. apply refl_equal.
% 7.87/8.09 (* end of lemma zenon_L292_ *)
% 7.87/8.09 assert (zenon_L293_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e1)) = (e0)) -> False).
% 7.87/8.09 do 0 intro. intros zenon_Hca zenon_H2d zenon_H34.
% 7.87/8.09 cut (((op (e1) (e1)) = (e0)) = ((op (e1) (e1)) = (op (e2) (e1)))).
% 7.87/8.09 intro zenon_D_pnotp.
% 7.87/8.09 apply zenon_Hca.
% 7.87/8.09 rewrite <- zenon_D_pnotp.
% 7.87/8.09 exact zenon_H2d.
% 7.87/8.09 cut (((e0) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H35].
% 7.87/8.09 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 7.87/8.09 congruence.
% 7.87/8.09 apply zenon_H8b. apply refl_equal.
% 7.87/8.09 apply zenon_H35. apply sym_equal. exact zenon_H34.
% 7.87/8.09 (* end of lemma zenon_L293_ *)
% 7.87/8.09 assert (zenon_L294_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H173 zenon_H6d zenon_H7f.
% 7.87/8.09 cut (((op (e1) (e1)) = (e3)) = ((op (e1) (e1)) = (op (e3) (e1)))).
% 7.87/8.09 intro zenon_D_pnotp.
% 7.87/8.09 apply zenon_H173.
% 7.87/8.09 rewrite <- zenon_D_pnotp.
% 7.87/8.09 exact zenon_H6d.
% 7.87/8.09 cut (((e3) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H12f].
% 7.87/8.09 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 7.87/8.09 congruence.
% 7.87/8.09 apply zenon_H8b. apply refl_equal.
% 7.87/8.09 apply zenon_H12f. apply sym_equal. exact zenon_H7f.
% 7.87/8.09 (* end of lemma zenon_L294_ *)
% 7.87/8.09 assert (zenon_L295_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 7.87/8.09 do 0 intro. intros zenon_Hcc zenon_H34 zenon_Hca zenon_Hc7 zenon_H2c zenon_H26 zenon_H173 zenon_H7f.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H2d | zenon_intro zenon_Hcd ].
% 7.87/8.09 apply (zenon_L293_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hce ].
% 7.87/8.09 apply (zenon_L61_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 7.87/8.09 apply (zenon_L128_); trivial.
% 7.87/8.09 apply (zenon_L294_); trivial.
% 7.87/8.09 (* end of lemma zenon_L295_ *)
% 7.87/8.09 assert (zenon_L296_ : ((op (e2) (e1)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H9c zenon_H26 zenon_H33.
% 7.87/8.09 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H17d | zenon_intro zenon_H136 ].
% 7.87/8.09 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e0) (e1)) = (op (e2) (e1)))).
% 7.87/8.09 intro zenon_D_pnotp.
% 7.87/8.09 apply zenon_H33.
% 7.87/8.09 rewrite <- zenon_D_pnotp.
% 7.87/8.09 exact zenon_H17d.
% 7.87/8.09 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H136].
% 7.87/8.09 cut (((op (e2) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 7.87/8.09 congruence.
% 7.87/8.09 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e0) (e1)))).
% 7.87/8.09 intro zenon_D_pnotp.
% 7.87/8.09 apply zenon_H19a.
% 7.87/8.09 rewrite <- zenon_D_pnotp.
% 7.87/8.09 exact zenon_H9c.
% 7.87/8.09 cut (((e2) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H121].
% 7.87/8.09 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H136].
% 7.87/8.09 congruence.
% 7.87/8.09 apply zenon_H136. apply refl_equal.
% 7.87/8.09 apply zenon_H121. apply sym_equal. exact zenon_H26.
% 7.87/8.09 apply zenon_H136. apply refl_equal.
% 7.87/8.09 apply zenon_H136. apply refl_equal.
% 7.87/8.09 (* end of lemma zenon_L296_ *)
% 7.87/8.09 assert (zenon_L297_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H19b zenon_H173 zenon_H2c zenon_Hca zenon_Hcc zenon_Hc7 zenon_H33 zenon_H26 zenon_H7f zenon_H134.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H34 | zenon_intro zenon_H19c ].
% 7.87/8.09 apply (zenon_L295_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H19d ].
% 7.87/8.09 apply (zenon_L168_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H9c | zenon_intro zenon_H70 ].
% 7.87/8.09 apply (zenon_L296_); trivial.
% 7.87/8.09 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H19e | zenon_intro zenon_H132 ].
% 7.87/8.09 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e2) (e1)) = (op (e3) (e1)))).
% 7.87/8.09 intro zenon_D_pnotp.
% 7.87/8.09 apply zenon_H134.
% 7.87/8.09 rewrite <- zenon_D_pnotp.
% 7.87/8.09 exact zenon_H19e.
% 7.87/8.09 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H132].
% 7.87/8.09 cut (((op (e3) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H19f].
% 7.87/8.09 congruence.
% 7.87/8.09 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e2) (e1)))).
% 7.87/8.09 intro zenon_D_pnotp.
% 7.87/8.09 apply zenon_H19f.
% 7.87/8.09 rewrite <- zenon_D_pnotp.
% 7.87/8.09 exact zenon_H7f.
% 7.87/8.09 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hcb].
% 7.87/8.09 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H132].
% 7.87/8.09 congruence.
% 7.87/8.09 apply zenon_H132. apply refl_equal.
% 7.87/8.09 apply zenon_Hcb. apply sym_equal. exact zenon_H70.
% 7.87/8.09 apply zenon_H132. apply refl_equal.
% 7.87/8.09 apply zenon_H132. apply refl_equal.
% 7.87/8.09 (* end of lemma zenon_L297_ *)
% 7.87/8.09 assert (zenon_L298_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H137 zenon_H12d zenon_H47 zenon_H40 zenon_H19b zenon_H173 zenon_H2c zenon_Hca zenon_Hcc zenon_Hc7 zenon_H33 zenon_H26 zenon_H134.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H41 | zenon_intro zenon_H138 ].
% 7.87/8.09 apply (zenon_L292_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hde | zenon_intro zenon_H139 ].
% 7.87/8.09 apply (zenon_L144_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hdc | zenon_intro zenon_H7f ].
% 7.87/8.09 apply (zenon_L225_); trivial.
% 7.87/8.09 apply (zenon_L297_); trivial.
% 7.87/8.09 (* end of lemma zenon_L298_ *)
% 7.87/8.09 assert (zenon_L299_ : ((op (e2) (e2)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H9f zenon_H9c zenon_H18e.
% 7.87/8.09 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 7.87/8.09 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e2) (e1)) = (op (e2) (e2)))).
% 7.87/8.09 intro zenon_D_pnotp.
% 7.87/8.09 apply zenon_H18e.
% 7.87/8.09 rewrite <- zenon_D_pnotp.
% 7.87/8.09 exact zenon_H39.
% 7.87/8.09 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 7.87/8.09 cut (((op (e2) (e2)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H18f].
% 7.87/8.09 congruence.
% 7.87/8.09 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e2) (e1)))).
% 7.87/8.09 intro zenon_D_pnotp.
% 7.87/8.09 apply zenon_H18f.
% 7.87/8.09 rewrite <- zenon_D_pnotp.
% 7.87/8.09 exact zenon_H9f.
% 7.87/8.09 cut (((e2) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 7.87/8.09 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 7.87/8.09 congruence.
% 7.87/8.09 apply zenon_H3a. apply refl_equal.
% 7.87/8.09 apply zenon_H14d. apply sym_equal. exact zenon_H9c.
% 7.87/8.09 apply zenon_H3a. apply refl_equal.
% 7.87/8.09 apply zenon_H3a. apply refl_equal.
% 7.87/8.09 (* end of lemma zenon_L299_ *)
% 7.87/8.09 assert (zenon_L300_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((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) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e0)) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H11e zenon_H28 zenon_H20 zenon_H5a zenon_H3d zenon_H1f zenon_H197 zenon_H38 zenon_H13b zenon_H134 zenon_H33 zenon_Hc7 zenon_Hca zenon_H19b zenon_H40 zenon_H12d zenon_H137 zenon_H130 zenon_H18e zenon_H9f zenon_Hcc zenon_H25 zenon_H2c zenon_H89 zenon_Hbb zenon_H173 zenon_H47.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.87/8.09 apply (zenon_L288_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.87/8.09 apply (zenon_L291_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.87/8.09 apply (zenon_L107_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.09 apply (zenon_L298_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.09 apply (zenon_L142_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.09 apply (zenon_L299_); trivial.
% 7.87/8.09 apply (zenon_L236_); trivial.
% 7.87/8.09 (* end of lemma zenon_L300_ *)
% 7.87/8.09 assert (zenon_L301_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e2)) -> (~((e1) = (e2))) -> False).
% 7.87/8.09 do 0 intro. intros zenon_Hd6 zenon_Ha2 zenon_H99.
% 7.87/8.09 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ].
% 7.87/8.09 cut (((e2) = (e2)) = ((e1) = (e2))).
% 7.87/8.09 intro zenon_D_pnotp.
% 7.87/8.09 apply zenon_H99.
% 7.87/8.09 rewrite <- zenon_D_pnotp.
% 7.87/8.09 exact zenon_H21.
% 7.87/8.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.87/8.09 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 7.87/8.09 congruence.
% 7.87/8.09 cut (((op (e1) (e3)) = (e1)) = ((e2) = (e1))).
% 7.87/8.09 intro zenon_D_pnotp.
% 7.87/8.09 apply zenon_H9a.
% 7.87/8.09 rewrite <- zenon_D_pnotp.
% 7.87/8.09 exact zenon_Hd6.
% 7.87/8.09 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.87/8.09 cut (((op (e1) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1a0].
% 7.87/8.09 congruence.
% 7.87/8.09 exact (zenon_H1a0 zenon_Ha2).
% 7.87/8.09 apply zenon_H57. apply refl_equal.
% 7.87/8.09 apply zenon_H22. apply refl_equal.
% 7.87/8.09 apply zenon_H22. apply refl_equal.
% 7.87/8.09 (* end of lemma zenon_L301_ *)
% 7.87/8.09 assert (zenon_L302_ : (~((op (op (e1) (e1)) (e1)) = (op (e0) (e1)))) -> ((op (e1) (e1)) = (e0)) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H1a1 zenon_H2d.
% 7.87/8.09 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.87/8.09 cut (((op (e1) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Heb].
% 7.87/8.09 congruence.
% 7.87/8.09 exact (zenon_Heb zenon_H2d).
% 7.87/8.09 apply zenon_H57. apply refl_equal.
% 7.87/8.09 (* end of lemma zenon_L302_ *)
% 7.87/8.09 assert (zenon_L303_ : ((op (e0) (e1)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> (~((e3) = (op (op (e1) (e1)) (e1)))) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H66 zenon_H2d zenon_H71.
% 7.87/8.09 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ].
% 7.87/8.09 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((e3) = (op (op (e1) (e1)) (e1)))).
% 7.87/8.09 intro zenon_D_pnotp.
% 7.87/8.09 apply zenon_H71.
% 7.87/8.09 rewrite <- zenon_D_pnotp.
% 7.87/8.09 exact zenon_H72.
% 7.87/8.09 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H73].
% 7.87/8.09 cut (((op (op (e1) (e1)) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H74].
% 7.87/8.09 congruence.
% 7.87/8.09 cut (((op (e0) (e1)) = (e3)) = ((op (op (e1) (e1)) (e1)) = (e3))).
% 7.87/8.09 intro zenon_D_pnotp.
% 7.87/8.09 apply zenon_H74.
% 7.87/8.09 rewrite <- zenon_D_pnotp.
% 7.87/8.09 exact zenon_H66.
% 7.87/8.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.09 cut (((op (e0) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a2].
% 7.87/8.09 congruence.
% 7.87/8.09 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ].
% 7.87/8.09 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((op (e0) (e1)) = (op (op (e1) (e1)) (e1)))).
% 7.87/8.09 intro zenon_D_pnotp.
% 7.87/8.09 apply zenon_H1a2.
% 7.87/8.09 rewrite <- zenon_D_pnotp.
% 7.87/8.09 exact zenon_H72.
% 7.87/8.09 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H73].
% 7.87/8.09 cut (((op (op (e1) (e1)) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a1].
% 7.87/8.09 congruence.
% 7.87/8.09 apply (zenon_L302_); trivial.
% 7.87/8.09 apply zenon_H73. apply refl_equal.
% 7.87/8.09 apply zenon_H73. apply refl_equal.
% 7.87/8.09 apply zenon_H69. apply refl_equal.
% 7.87/8.09 apply zenon_H73. apply refl_equal.
% 7.87/8.09 apply zenon_H73. apply refl_equal.
% 7.87/8.09 (* end of lemma zenon_L303_ *)
% 7.87/8.09 assert (zenon_L304_ : ((op (e0) (e0)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H1f zenon_H66 zenon_H2d.
% 7.87/8.09 apply (zenon_notand_s _ _ ax20); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a3 ].
% 7.87/8.09 elim (classic ((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 7.87/8.09 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1)))) = ((e2) = (op (op (e1) (e1)) (op (e1) (e1))))).
% 7.87/8.09 intro zenon_D_pnotp.
% 7.87/8.09 apply zenon_H1a4.
% 7.87/8.09 rewrite <- zenon_D_pnotp.
% 7.87/8.09 exact zenon_H79.
% 7.87/8.09 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7a].
% 7.87/8.09 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1a5].
% 7.87/8.09 congruence.
% 7.87/8.09 cut (((op (e0) (e0)) = (e2)) = ((op (op (e1) (e1)) (op (e1) (e1))) = (e2))).
% 7.87/8.09 intro zenon_D_pnotp.
% 7.87/8.09 apply zenon_H1a5.
% 7.87/8.09 rewrite <- zenon_D_pnotp.
% 7.87/8.09 exact zenon_H1f.
% 7.87/8.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.87/8.09 cut (((op (e0) (e0)) = (op (op (e1) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1a6].
% 7.87/8.09 congruence.
% 7.87/8.09 elim (classic ((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 7.87/8.09 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1)))) = ((op (e0) (e0)) = (op (op (e1) (e1)) (op (e1) (e1))))).
% 7.87/8.09 intro zenon_D_pnotp.
% 7.87/8.09 apply zenon_H1a6.
% 7.87/8.09 rewrite <- zenon_D_pnotp.
% 7.87/8.09 exact zenon_H79.
% 7.87/8.09 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7a].
% 7.87/8.09 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1a7].
% 7.87/8.09 congruence.
% 7.87/8.09 cut (((op (e1) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Heb].
% 7.87/8.09 cut (((op (e1) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Heb].
% 7.87/8.09 congruence.
% 7.87/8.09 exact (zenon_Heb zenon_H2d).
% 7.87/8.09 exact (zenon_Heb zenon_H2d).
% 7.87/8.09 apply zenon_H7a. apply refl_equal.
% 7.87/8.09 apply zenon_H7a. apply refl_equal.
% 7.87/8.09 apply zenon_H22. apply refl_equal.
% 7.87/8.09 apply zenon_H7a. apply refl_equal.
% 7.87/8.09 apply zenon_H7a. apply refl_equal.
% 7.87/8.09 apply (zenon_notand_s _ _ zenon_H1a3); [ zenon_intro zenon_H2e | zenon_intro zenon_H71 ].
% 7.87/8.09 apply zenon_H2e. apply sym_equal. exact zenon_H2d.
% 7.87/8.09 apply (zenon_L303_); trivial.
% 7.87/8.09 (* end of lemma zenon_L304_ *)
% 7.87/8.09 assert (zenon_L305_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> False).
% 7.87/8.09 do 0 intro. intros zenon_Haa zenon_H1f zenon_H67 zenon_H33 zenon_H40 zenon_Hdc zenon_H2c zenon_H2d zenon_H170 zenon_H8f zenon_Hde.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.09 apply (zenon_L304_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.09 apply (zenon_L164_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.09 apply (zenon_L239_); trivial.
% 7.87/8.09 apply (zenon_L91_); trivial.
% 7.87/8.09 (* end of lemma zenon_L305_ *)
% 7.87/8.09 assert (zenon_L306_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H173 zenon_Hc6 zenon_Hde.
% 7.87/8.09 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e3) (e1)))).
% 7.87/8.09 intro zenon_D_pnotp.
% 7.87/8.09 apply zenon_H173.
% 7.87/8.09 rewrite <- zenon_D_pnotp.
% 7.87/8.09 exact zenon_Hc6.
% 7.87/8.09 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H133].
% 7.87/8.09 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 7.87/8.09 congruence.
% 7.87/8.09 apply zenon_H8b. apply refl_equal.
% 7.87/8.09 apply zenon_H133. apply sym_equal. exact zenon_Hde.
% 7.87/8.09 (* end of lemma zenon_L306_ *)
% 7.87/8.09 assert (zenon_L307_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e0)) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H13b zenon_H25 zenon_H18e zenon_Hcc zenon_H8f zenon_H170 zenon_H2c zenon_H40 zenon_H33 zenon_H67 zenon_Haa zenon_Hde zenon_H20 zenon_H5a zenon_H9f zenon_H173 zenon_H3d zenon_H1f zenon_H197 zenon_H47.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.09 apply (zenon_L3_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.09 apply (zenon_L291_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.09 apply (zenon_L299_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H2d | zenon_intro zenon_Hcd ].
% 7.87/8.09 apply (zenon_L305_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hce ].
% 7.87/8.09 apply (zenon_L306_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 7.87/8.09 apply (zenon_L291_); trivial.
% 7.87/8.09 apply (zenon_L235_); trivial.
% 7.87/8.09 (* end of lemma zenon_L307_ *)
% 7.87/8.09 assert (zenon_L308_ : (~((e0) = (e1))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H55 zenon_He2 zenon_H47.
% 7.87/8.09 cut (((op (e3) (e3)) = (e1)) = ((e0) = (e1))).
% 7.87/8.09 intro zenon_D_pnotp.
% 7.87/8.09 apply zenon_H55.
% 7.87/8.09 rewrite <- zenon_D_pnotp.
% 7.87/8.09 exact zenon_He2.
% 7.87/8.09 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.87/8.09 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1a8].
% 7.87/8.09 congruence.
% 7.87/8.09 exact (zenon_H1a8 zenon_H47).
% 7.87/8.09 apply zenon_H57. apply refl_equal.
% 7.87/8.09 (* end of lemma zenon_L308_ *)
% 7.87/8.09 assert (zenon_L309_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e0)) -> False).
% 7.87/8.09 do 0 intro. intros zenon_He7 zenon_H92 zenon_H197 zenon_H1f zenon_H3d zenon_H173 zenon_H9f zenon_H5a zenon_H20 zenon_Haa zenon_H67 zenon_H33 zenon_H40 zenon_H2c zenon_H170 zenon_H8f zenon_Hcc zenon_H18e zenon_H25 zenon_H13b zenon_Hcf zenon_Hf8 zenon_H55 zenon_H47.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hb2 | zenon_intro zenon_He8 ].
% 7.87/8.09 apply (zenon_L167_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ].
% 7.87/8.09 apply (zenon_L307_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_He0 | zenon_intro zenon_He2 ].
% 7.87/8.09 apply (zenon_L177_); trivial.
% 7.87/8.09 apply (zenon_L308_); trivial.
% 7.87/8.09 (* end of lemma zenon_L309_ *)
% 7.87/8.09 assert (zenon_L310_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (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) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e3) (e3)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (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 (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (~((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 (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e3))) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H15f zenon_Hb5 zenon_H99 zenon_H28 zenon_H11e zenon_H134 zenon_Hca zenon_H19b zenon_H12d zenon_H137 zenon_H130 zenon_H89 zenon_Hd8 zenon_H47 zenon_H55 zenon_Hf8 zenon_H13b zenon_H18e zenon_Hcc zenon_H170 zenon_H2c zenon_H40 zenon_H33 zenon_Haa zenon_H5a zenon_H173 zenon_H3d zenon_H197 zenon_H92 zenon_He7 zenon_Hc3 zenon_H1f zenon_H6c zenon_H25 zenon_H81 zenon_H9f zenon_H38 zenon_H118 zenon_H43 zenon_H117 zenon_H20 zenon_H113 zenon_H29 zenon_H67 zenon_H11b zenon_H8f.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 7.87/8.09 exact (zenon_Hb5 zenon_Hb9).
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd9 ].
% 7.87/8.09 apply (zenon_L300_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hda ].
% 7.87/8.09 apply (zenon_L61_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd6 ].
% 7.87/8.09 exact (zenon_H118 zenon_Hd2).
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.87/8.09 apply (zenon_L288_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.87/8.09 apply (zenon_L291_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.87/8.09 apply (zenon_L107_); trivial.
% 7.87/8.09 apply (zenon_L301_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 7.87/8.09 apply (zenon_L309_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.87/8.09 apply (zenon_L243_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.87/8.09 apply (zenon_L24_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.87/8.09 apply (zenon_L122_); trivial.
% 7.87/8.09 apply (zenon_L89_); trivial.
% 7.87/8.09 (* end of lemma zenon_L310_ *)
% 7.87/8.09 assert (zenon_L311_ : (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H122 zenon_H9c zenon_H18e.
% 7.87/8.09 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H9f. zenon_intro zenon_H123.
% 7.87/8.09 apply (zenon_L299_); trivial.
% 7.87/8.09 (* end of lemma zenon_L311_ *)
% 7.87/8.09 assert (zenon_L312_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> False).
% 7.87/8.09 do 0 intro. intros zenon_H11e zenon_Hbb zenon_H38 zenon_H13b zenon_H20 zenon_H5a zenon_H173 zenon_H3d zenon_H1f zenon_H197 zenon_H18e zenon_H122 zenon_Haa zenon_H67 zenon_H25 zenon_He3 zenon_Hbd zenon_H99 zenon_H9f zenon_Hcc zenon_H33 zenon_H40 zenon_H2c zenon_H170 zenon_Hca zenon_H130 zenon_H47 zenon_H31 zenon_H55 zenon_H142 zenon_H6c.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.87/8.09 apply (zenon_L116_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.87/8.09 apply (zenon_L291_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.87/8.09 apply (zenon_L107_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.09 apply (zenon_L3_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.09 apply (zenon_L291_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.09 apply (zenon_L311_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.09 apply (zenon_L24_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.09 apply (zenon_L235_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 7.87/8.09 apply (zenon_L15_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 7.87/8.09 apply (zenon_L252_); trivial.
% 7.87/8.09 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 7.87/8.09 apply (zenon_L169_); trivial.
% 7.87/8.09 apply (zenon_L186_); trivial.
% 7.87/8.09 apply (zenon_L73_); trivial.
% 7.87/8.09 (* end of lemma zenon_L312_ *)
% 7.87/8.09 assert (zenon_L313_ : (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e0)) = (e0)) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H67 zenon_H92 zenon_H3e.
% 7.87/8.10 cut (((op (e3) (e0)) = (e3)) = ((e0) = (e3))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_H67.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_H92.
% 7.87/8.10 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.10 cut (((op (e3) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 7.87/8.10 congruence.
% 7.87/8.10 exact (zenon_H1a9 zenon_H3e).
% 7.87/8.10 apply zenon_H69. apply refl_equal.
% 7.87/8.10 (* end of lemma zenon_L313_ *)
% 7.87/8.10 assert (zenon_L314_ : ((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((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 (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (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 (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H1aa zenon_H20 zenon_H1f zenon_H15f zenon_H6c zenon_H11b zenon_H43 zenon_H81 zenon_H117 zenon_H113 zenon_Hc3 zenon_H8f zenon_H92 zenon_Haa zenon_H170 zenon_H67 zenon_Hf8 zenon_H55 zenon_He7 zenon_H11e zenon_H137 zenon_Hcc zenon_H2c zenon_Hca zenon_H33 zenon_H134 zenon_H19b zenon_H40 zenon_H12d zenon_H130 zenon_H18e zenon_H89 zenon_H25 zenon_H13b zenon_H38 zenon_H3d zenon_H173 zenon_H5a zenon_H9f zenon_H47 zenon_H197 zenon_H28 zenon_H99 zenon_Hd8 zenon_Hb5 zenon_H122 zenon_Hbd zenon_H142 zenon_Hb6 zenon_H18b.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H118 | zenon_intro zenon_H6e ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 7.87/8.10 apply (zenon_L2_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 7.87/8.10 apply (zenon_L310_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 7.87/8.10 exact (zenon_Hb5 zenon_Hb9).
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 7.87/8.10 exact (zenon_Hb5 zenon_Hb9).
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 7.87/8.10 apply (zenon_L300_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 7.87/8.10 apply (zenon_L15_); trivial.
% 7.87/8.10 apply (zenon_L167_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 7.87/8.10 apply (zenon_L309_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 7.87/8.10 exact (zenon_Hb5 zenon_Hb9).
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 7.87/8.10 apply (zenon_L312_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 7.87/8.10 apply (zenon_L15_); trivial.
% 7.87/8.10 apply (zenon_L167_); trivial.
% 7.87/8.10 apply (zenon_L313_); trivial.
% 7.87/8.10 apply (zenon_L291_); trivial.
% 7.87/8.10 (* end of lemma zenon_L314_ *)
% 7.87/8.10 assert (zenon_L315_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (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 (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e0)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((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 (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((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))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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 (e3) (e2)))) -> (((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))))) -> (~((e0) = (e2))) -> ((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 7.87/8.10 do 0 intro. intros zenon_Hec zenon_H18b zenon_Hb6 zenon_H142 zenon_Hbd zenon_Hb5 zenon_Hd8 zenon_H28 zenon_H197 zenon_H47 zenon_H9f zenon_H5a zenon_H173 zenon_H3d zenon_H38 zenon_H13b zenon_H25 zenon_H89 zenon_H18e zenon_H130 zenon_H12d zenon_H40 zenon_H19b zenon_H134 zenon_H33 zenon_Hca zenon_H2c zenon_Hcc zenon_H137 zenon_H11e zenon_He7 zenon_H55 zenon_Hf8 zenon_H67 zenon_H170 zenon_Haa zenon_H8f zenon_Hc3 zenon_H113 zenon_H117 zenon_H81 zenon_H43 zenon_H11b zenon_H15f zenon_H20 zenon_H1aa zenon_H99 zenon_Hbb zenon_H10e zenon_H122 zenon_H6c zenon_H92.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.87/8.10 apply (zenon_L314_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.87/8.10 apply (zenon_L116_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.87/8.10 apply (zenon_L129_); trivial.
% 7.87/8.10 apply (zenon_L39_); trivial.
% 7.87/8.10 (* end of lemma zenon_L315_ *)
% 7.87/8.10 assert (zenon_L316_ : (~((e2) = (e3))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> (((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 (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 (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (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 (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (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)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H6c zenon_H122 zenon_H10e zenon_H99 zenon_H1aa zenon_H20 zenon_H15f zenon_H11b zenon_H43 zenon_H81 zenon_H117 zenon_H113 zenon_Hc3 zenon_Haa zenon_H170 zenon_H67 zenon_Hf8 zenon_He7 zenon_H11e zenon_H137 zenon_Hcc zenon_H2c zenon_Hca zenon_H33 zenon_H134 zenon_H19b zenon_H40 zenon_H12d zenon_H130 zenon_H18e zenon_H89 zenon_H25 zenon_H13b zenon_H38 zenon_H3d zenon_H173 zenon_H5a zenon_H9f zenon_H47 zenon_H197 zenon_H28 zenon_Hd8 zenon_Hb5 zenon_Hbd zenon_H142 zenon_Hb6 zenon_H18b zenon_Hec zenon_H55 zenon_H31 zenon_H8f zenon_H92.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 7.87/8.10 exact (zenon_Hb5 zenon_Hb9).
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 7.87/8.10 apply (zenon_L315_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 7.87/8.10 apply (zenon_L15_); trivial.
% 7.87/8.10 apply (zenon_L167_); trivial.
% 7.87/8.10 (* end of lemma zenon_L316_ *)
% 7.87/8.10 assert (zenon_L317_ : ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0)))/\(((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0)))/\((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e1)) = (e0)))\/((op (e0) (e0)) = (e1)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e1)) = (e2)))\/((op (e2) (e2)) = (e1)))/\((~((op (e3) (e1)) = (e3)))\/((op (e3) (e3)) = (e1)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (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 (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((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 (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((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))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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 (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H1ab zenon_H5e zenon_H61 zenon_Hb5 zenon_Hec zenon_H10e zenon_H18b zenon_Hb6 zenon_H142 zenon_Hbd zenon_Hd8 zenon_H99 zenon_H28 zenon_H197 zenon_H5a zenon_H173 zenon_H3d zenon_H38 zenon_H13b zenon_H89 zenon_H18e zenon_H130 zenon_H12d zenon_H40 zenon_H19b zenon_H134 zenon_Hca zenon_H2c zenon_Hcc zenon_H137 zenon_H11e zenon_He7 zenon_H55 zenon_Hf8 zenon_H67 zenon_H170 zenon_Haa zenon_H8f zenon_Hc3 zenon_H113 zenon_H117 zenon_H81 zenon_H43 zenon_H11b zenon_H6c zenon_H15f zenon_H30 zenon_H33 zenon_H25 zenon_H20 zenon_H49 zenon_H47 zenon_H51 zenon_H92 zenon_H128.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 7.87/8.10 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H1e. zenon_intro zenon_Hae.
% 7.87/8.10 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 7.87/8.10 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_Hb4. zenon_intro zenon_H1af.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H2d ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 7.87/8.10 exact (zenon_Hb5 zenon_Hb9).
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 7.87/8.10 exact (zenon_Hb7 zenon_Hbb).
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.87/8.10 apply (zenon_L15_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.87/8.10 apply (zenon_L7_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 7.87/8.10 apply (zenon_L287_); trivial.
% 7.87/8.10 apply (zenon_L12_); trivial.
% 7.87/8.10 apply (zenon_L167_); trivial.
% 7.87/8.10 apply (zenon_L5_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 7.87/8.10 apply (zenon_L114_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 7.87/8.10 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H9f. zenon_intro zenon_H123.
% 7.87/8.10 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H1b2. zenon_intro zenon_H1b1.
% 7.87/8.10 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1aa. zenon_intro zenon_H1b3.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H118 | zenon_intro zenon_H6e ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 7.87/8.10 apply (zenon_L180_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 7.87/8.10 exact (zenon_Hb5 zenon_Hb9).
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 7.87/8.10 apply (zenon_L315_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.87/8.10 apply (zenon_L310_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.87/8.10 apply (zenon_L17_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.87/8.10 apply (zenon_L41_); trivial.
% 7.87/8.10 apply (zenon_L39_); trivial.
% 7.87/8.10 apply (zenon_L167_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 7.87/8.10 apply (zenon_L316_); trivial.
% 7.87/8.10 apply (zenon_L313_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 7.87/8.10 exact (zenon_Hb5 zenon_Hb9).
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 7.87/8.10 apply (zenon_L315_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.87/8.10 apply (zenon_L291_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.87/8.10 apply (zenon_L84_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.87/8.10 apply (zenon_L41_); trivial.
% 7.87/8.10 apply (zenon_L39_); trivial.
% 7.87/8.10 apply (zenon_L167_); trivial.
% 7.87/8.10 apply (zenon_L138_); trivial.
% 7.87/8.10 (* end of lemma zenon_L317_ *)
% 7.87/8.10 assert (zenon_L318_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H111 zenon_H1e zenon_Haf.
% 7.87/8.10 elim (classic ((op (e0) (e2)) = (op (e0) (e2)))); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H85 ].
% 7.87/8.10 cut (((op (e0) (e2)) = (op (e0) (e2))) = ((op (e0) (e0)) = (op (e0) (e2)))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_Haf.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_H1b4.
% 7.87/8.10 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 7.87/8.10 cut (((op (e0) (e2)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1b5].
% 7.87/8.10 congruence.
% 7.87/8.10 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e0) (e0)))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_H1b5.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_H111.
% 7.87/8.10 cut (((e0) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1b6].
% 7.87/8.10 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 7.87/8.10 congruence.
% 7.87/8.10 apply zenon_H85. apply refl_equal.
% 7.87/8.10 apply zenon_H1b6. apply sym_equal. exact zenon_H1e.
% 7.87/8.10 apply zenon_H85. apply refl_equal.
% 7.87/8.10 apply zenon_H85. apply refl_equal.
% 7.87/8.10 (* end of lemma zenon_L318_ *)
% 7.87/8.10 assert (zenon_L319_ : (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0)))/\(((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0)))/\((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_Had zenon_H111 zenon_Haf.
% 7.87/8.10 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H1e. zenon_intro zenon_Hae.
% 7.87/8.10 apply (zenon_L318_); trivial.
% 7.87/8.10 (* end of lemma zenon_L319_ *)
% 7.87/8.10 assert (zenon_L320_ : (((op (e1) (e1)) = (e1))/\(((~((op (e0) (e1)) = (e0)))\/((op (e0) (e0)) = (e1)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e1)) = (e2)))\/((op (e2) (e2)) = (e1)))/\((~((op (e3) (e1)) = (e3)))\/((op (e3) (e3)) = (e1))))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H106 zenon_Hbb zenon_H89.
% 7.87/8.10 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hc6. zenon_intro zenon_H107.
% 7.87/8.10 apply (zenon_L221_); trivial.
% 7.87/8.10 (* end of lemma zenon_L320_ *)
% 7.87/8.10 assert (zenon_L321_ : (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e2)) = (e0)) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H122 zenon_H24 zenon_H111.
% 7.87/8.10 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H9f. zenon_intro zenon_H123.
% 7.87/8.10 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H1b2. zenon_intro zenon_H1b1.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H127 | zenon_intro zenon_H1f ].
% 7.87/8.10 exact (zenon_H127 zenon_H111).
% 7.87/8.10 exact (zenon_H24 zenon_H1f).
% 7.87/8.10 (* end of lemma zenon_L321_ *)
% 7.87/8.10 assert (zenon_L322_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H111 zenon_Hcf zenon_H55.
% 7.87/8.10 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H56 | zenon_intro zenon_H57 ].
% 7.87/8.10 cut (((e1) = (e1)) = ((e0) = (e1))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_H55.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_H56.
% 7.87/8.10 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.87/8.10 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 7.87/8.10 congruence.
% 7.87/8.10 cut (((op (e0) (e2)) = (e0)) = ((e1) = (e0))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_H58.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_H111.
% 7.87/8.10 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.87/8.10 cut (((op (e0) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1b7].
% 7.87/8.10 congruence.
% 7.87/8.10 exact (zenon_H1b7 zenon_Hcf).
% 7.87/8.10 apply zenon_H1d. apply refl_equal.
% 7.87/8.10 apply zenon_H57. apply refl_equal.
% 7.87/8.10 apply zenon_H57. apply refl_equal.
% 7.87/8.10 (* end of lemma zenon_L322_ *)
% 7.87/8.10 assert (zenon_L323_ : ((op (e1) (e2)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_Hd2 zenon_Hbb zenon_H113.
% 7.87/8.10 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H46 ].
% 7.87/8.10 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e1) (e0)) = (op (e1) (e2)))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_H113.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_Hd3.
% 7.87/8.10 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 7.87/8.10 cut (((op (e1) (e2)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1b8].
% 7.87/8.10 congruence.
% 7.87/8.10 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e1) (e0)))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_H1b8.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_Hd2.
% 7.87/8.10 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H156].
% 7.87/8.10 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 7.87/8.10 congruence.
% 7.87/8.10 apply zenon_H46. apply refl_equal.
% 7.87/8.10 apply zenon_H156. apply sym_equal. exact zenon_Hbb.
% 7.87/8.10 apply zenon_H46. apply refl_equal.
% 7.87/8.10 apply zenon_H46. apply refl_equal.
% 7.87/8.10 (* end of lemma zenon_L323_ *)
% 7.87/8.10 assert (zenon_L324_ : ((op (e1) (e2)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> (~((e3) = (op (op (e2) (e2)) (e2)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H115 zenon_H13e zenon_H1b9.
% 7.87/8.10 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bb ].
% 7.87/8.10 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((e3) = (op (op (e2) (e2)) (e2)))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_H1b9.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_H1ba.
% 7.87/8.10 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 7.87/8.10 cut (((op (op (e2) (e2)) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1bc].
% 7.87/8.10 congruence.
% 7.87/8.10 cut (((op (e1) (e2)) = (e3)) = ((op (op (e2) (e2)) (e2)) = (e3))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_H1bc.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_H115.
% 7.87/8.10 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.10 cut (((op (e1) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1bd].
% 7.87/8.10 congruence.
% 7.87/8.10 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bb ].
% 7.87/8.10 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((op (e1) (e2)) = (op (op (e2) (e2)) (e2)))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_H1bd.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_H1ba.
% 7.87/8.10 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 7.87/8.10 cut (((op (op (e2) (e2)) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1be].
% 7.87/8.10 congruence.
% 7.87/8.10 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.87/8.10 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 7.87/8.10 congruence.
% 7.87/8.10 exact (zenon_H13f zenon_H13e).
% 7.87/8.10 apply zenon_H22. apply refl_equal.
% 7.87/8.10 apply zenon_H1bb. apply refl_equal.
% 7.87/8.10 apply zenon_H1bb. apply refl_equal.
% 7.87/8.10 apply zenon_H69. apply refl_equal.
% 7.87/8.10 apply zenon_H1bb. apply refl_equal.
% 7.87/8.10 apply zenon_H1bb. apply refl_equal.
% 7.87/8.10 (* end of lemma zenon_L324_ *)
% 7.87/8.10 assert (zenon_L325_ : ((op (e1) (e1)) = (e0)) -> ((op (e1) (e2)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H2d zenon_H115 zenon_H13e.
% 7.87/8.10 apply (zenon_notand_s _ _ ax8); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1bf ].
% 7.87/8.10 elim (classic ((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2))))); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c2 ].
% 7.87/8.10 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2)))) = ((e0) = (op (op (e2) (e2)) (op (e2) (e2))))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_H1c0.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_H1c1.
% 7.87/8.10 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 7.87/8.10 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1c3].
% 7.87/8.10 congruence.
% 7.87/8.10 cut (((op (e1) (e1)) = (e0)) = ((op (op (e2) (e2)) (op (e2) (e2))) = (e0))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_H1c3.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_H2d.
% 7.87/8.10 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.87/8.10 cut (((op (e1) (e1)) = (op (op (e2) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1c4].
% 7.87/8.10 congruence.
% 7.87/8.10 elim (classic ((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2))))); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c2 ].
% 7.87/8.10 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2)))) = ((op (e1) (e1)) = (op (op (e2) (e2)) (op (e2) (e2))))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_H1c4.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_H1c1.
% 7.87/8.10 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 7.87/8.10 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1c5].
% 7.87/8.10 congruence.
% 7.87/8.10 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 7.87/8.10 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 7.87/8.10 congruence.
% 7.87/8.10 exact (zenon_H13f zenon_H13e).
% 7.87/8.10 exact (zenon_H13f zenon_H13e).
% 7.87/8.10 apply zenon_H1c2. apply refl_equal.
% 7.87/8.10 apply zenon_H1c2. apply refl_equal.
% 7.87/8.10 apply zenon_H1d. apply refl_equal.
% 7.87/8.10 apply zenon_H1c2. apply refl_equal.
% 7.87/8.10 apply zenon_H1c2. apply refl_equal.
% 7.87/8.10 apply (zenon_notand_s _ _ zenon_H1bf); [ zenon_intro zenon_H147 | zenon_intro zenon_H1b9 ].
% 7.87/8.10 apply zenon_H147. apply sym_equal. exact zenon_H13e.
% 7.87/8.10 apply (zenon_L324_); trivial.
% 7.87/8.10 (* end of lemma zenon_L325_ *)
% 7.87/8.10 assert (zenon_L326_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H10b zenon_H111 zenon_H36.
% 7.87/8.10 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e2) (e2)))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_H10b.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_H111.
% 7.87/8.10 cut (((e0) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1c6].
% 7.87/8.10 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 7.87/8.10 congruence.
% 7.87/8.10 apply zenon_H85. apply refl_equal.
% 7.87/8.10 apply zenon_H1c6. apply sym_equal. exact zenon_H36.
% 7.87/8.10 (* end of lemma zenon_L326_ *)
% 7.87/8.10 assert (zenon_L327_ : (((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 (e3) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H1c7 zenon_H111 zenon_H10b zenon_He0 zenon_H5a zenon_H10e zenon_H98 zenon_H70 zenon_H18e.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H36 | zenon_intro zenon_H1c8 ].
% 7.87/8.10 apply (zenon_L326_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H13e | zenon_intro zenon_H1c9 ].
% 7.87/8.10 apply (zenon_L190_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H9f | zenon_intro zenon_H15c ].
% 7.87/8.10 apply (zenon_L117_); trivial.
% 7.87/8.10 apply (zenon_L273_); trivial.
% 7.87/8.10 (* end of lemma zenon_L327_ *)
% 7.87/8.10 assert (zenon_L328_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> (((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 (e2) (e0)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H162 zenon_H8f zenon_H67 zenon_H12d zenon_H1ca zenon_H55 zenon_H113 zenon_Hbb zenon_H2d zenon_H1c7 zenon_H111 zenon_H10b zenon_H5a zenon_H10e zenon_H98 zenon_H18e zenon_Hef zenon_H16e zenon_H86 zenon_Haa zenon_Hfc zenon_H5e.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.87/8.10 apply (zenon_L66_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.87/8.10 apply (zenon_L164_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.10 apply (zenon_L217_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.10 apply (zenon_L205_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1cb ].
% 7.87/8.10 apply (zenon_L322_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1cc ].
% 7.87/8.10 apply (zenon_L323_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H13e | zenon_intro zenon_He0 ].
% 7.87/8.10 apply (zenon_L325_); trivial.
% 7.87/8.10 apply (zenon_L327_); trivial.
% 7.87/8.10 apply (zenon_L139_); trivial.
% 7.87/8.10 apply (zenon_L109_); trivial.
% 7.87/8.10 (* end of lemma zenon_L328_ *)
% 7.87/8.10 assert (zenon_L329_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((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 (e1) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H95 zenon_H5e zenon_Hfc zenon_Haa zenon_H16e zenon_Hef zenon_H18e zenon_H10e zenon_H5a zenon_H10b zenon_H111 zenon_H1c7 zenon_H2d zenon_H113 zenon_H55 zenon_H1ca zenon_H12d zenon_H67 zenon_H162 zenon_H8f zenon_Hbb zenon_H6c zenon_H98 zenon_H12b zenon_H128.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.87/8.10 apply (zenon_L328_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.87/8.10 apply (zenon_L66_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.87/8.10 apply (zenon_L136_); trivial.
% 7.87/8.10 apply (zenon_L138_); trivial.
% 7.87/8.10 (* end of lemma zenon_L329_ *)
% 7.87/8.10 assert (zenon_L330_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H173 zenon_H2d zenon_H41.
% 7.87/8.10 cut (((op (e1) (e1)) = (e0)) = ((op (e1) (e1)) = (op (e3) (e1)))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_H173.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_H2d.
% 7.87/8.10 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H42].
% 7.87/8.10 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 7.87/8.10 congruence.
% 7.87/8.10 apply zenon_H8b. apply refl_equal.
% 7.87/8.10 apply zenon_H42. apply sym_equal. exact zenon_H41.
% 7.87/8.10 (* end of lemma zenon_L330_ *)
% 7.87/8.10 assert (zenon_L331_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False).
% 7.87/8.10 do 0 intro. intros zenon_Hf8 zenon_H111 zenon_H44.
% 7.87/8.10 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e3) (e2)))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_Hf8.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_H111.
% 7.87/8.10 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 7.87/8.10 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 7.87/8.10 congruence.
% 7.87/8.10 apply zenon_H85. apply refl_equal.
% 7.87/8.10 apply zenon_H45. apply sym_equal. exact zenon_H44.
% 7.87/8.10 (* end of lemma zenon_L331_ *)
% 7.87/8.10 assert (zenon_L332_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H4e zenon_H20 zenon_H93 zenon_H2d zenon_H111 zenon_Hf8 zenon_H137 zenon_H12d zenon_H40 zenon_H19b zenon_H173 zenon_H2c zenon_Hca zenon_Hcc zenon_Hc7 zenon_H33 zenon_H26 zenon_H134.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.87/8.10 apply (zenon_L77_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.87/8.10 apply (zenon_L330_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.87/8.10 apply (zenon_L331_); trivial.
% 7.87/8.10 apply (zenon_L298_); trivial.
% 7.87/8.10 (* end of lemma zenon_L332_ *)
% 7.87/8.10 assert (zenon_L333_ : (~((e1) = (e3))) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H8f zenon_H86 zenon_Hb9.
% 7.87/8.10 cut (((op (e0) (e0)) = (e3)) = ((e1) = (e3))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_H8f.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_H86.
% 7.87/8.10 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.10 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 7.87/8.10 congruence.
% 7.87/8.10 exact (zenon_Hb5 zenon_Hb9).
% 7.87/8.10 apply zenon_H69. apply refl_equal.
% 7.87/8.10 (* end of lemma zenon_L333_ *)
% 7.87/8.10 assert (zenon_L334_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H95 zenon_Hb9 zenon_H8f zenon_H89 zenon_H6d zenon_H10e zenon_H15c zenon_Hfc zenon_H128.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.87/8.10 apply (zenon_L333_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.87/8.10 apply (zenon_L37_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.87/8.10 apply (zenon_L200_); trivial.
% 7.87/8.10 apply (zenon_L137_); trivial.
% 7.87/8.10 (* end of lemma zenon_L334_ *)
% 7.87/8.10 assert (zenon_L335_ : ((op (e3) (e3)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_Hfc zenon_Hf7 zenon_H1cd.
% 7.87/8.10 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H4a | zenon_intro zenon_H4b ].
% 7.87/8.10 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e2)) = (op (e3) (e3)))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_H1cd.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_H4a.
% 7.87/8.10 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.87/8.10 cut (((op (e3) (e3)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1ce].
% 7.87/8.10 congruence.
% 7.87/8.10 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e3) (e2)))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_H1ce.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_Hfc.
% 7.87/8.10 cut (((e3) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1cf].
% 7.87/8.10 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.87/8.10 congruence.
% 7.87/8.10 apply zenon_H4b. apply refl_equal.
% 7.87/8.10 apply zenon_H1cf. apply sym_equal. exact zenon_Hf7.
% 7.87/8.10 apply zenon_H4b. apply refl_equal.
% 7.87/8.10 apply zenon_H4b. apply refl_equal.
% 7.87/8.10 (* end of lemma zenon_L335_ *)
% 7.87/8.10 assert (zenon_L336_ : (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H12b zenon_Hf7 zenon_H1cd.
% 7.87/8.10 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hfc. zenon_intro zenon_H12c.
% 7.87/8.10 apply (zenon_L335_); trivial.
% 7.87/8.10 (* end of lemma zenon_L336_ *)
% 7.87/8.10 assert (zenon_L337_ : (((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)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H1d0 zenon_H67 zenon_H111 zenon_Hef zenon_H128 zenon_Hfc zenon_H10e zenon_H6d zenon_H89 zenon_H8f zenon_Hb9 zenon_H95 zenon_H12b zenon_H1cd.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d1 ].
% 7.87/8.10 apply (zenon_L118_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H115 | zenon_intro zenon_H1d2 ].
% 7.87/8.10 apply (zenon_L205_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15c | zenon_intro zenon_Hf7 ].
% 7.87/8.10 apply (zenon_L334_); trivial.
% 7.87/8.10 apply (zenon_L336_); trivial.
% 7.87/8.10 (* end of lemma zenon_L337_ *)
% 7.87/8.10 assert (zenon_L338_ : ((op (e0) (e1)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((e2) = (e3))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H26 zenon_H66 zenon_H6c.
% 7.87/8.10 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 7.87/8.10 cut (((e3) = (e3)) = ((e2) = (e3))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_H6c.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_H68.
% 7.87/8.10 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.10 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9d].
% 7.87/8.10 congruence.
% 7.87/8.10 cut (((op (e0) (e1)) = (e2)) = ((e3) = (e2))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_H9d.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_H26.
% 7.87/8.10 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.87/8.10 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 7.87/8.10 congruence.
% 7.87/8.10 exact (zenon_H6b zenon_H66).
% 7.87/8.10 apply zenon_H22. apply refl_equal.
% 7.87/8.10 apply zenon_H69. apply refl_equal.
% 7.87/8.10 apply zenon_H69. apply refl_equal.
% 7.87/8.10 (* end of lemma zenon_L338_ *)
% 7.87/8.10 assert (zenon_L339_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_Ha7 zenon_H18e zenon_H10e zenon_H5a zenon_He0 zenon_H10b zenon_H111 zenon_H1c7 zenon_H6c zenon_H70 zenon_H38 zenon_H83 zenon_H13a.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H98 | zenon_intro zenon_Ha8 ].
% 7.87/8.10 apply (zenon_L327_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9c | zenon_intro zenon_Ha9 ].
% 7.87/8.10 apply (zenon_L43_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha1 ].
% 7.87/8.10 apply (zenon_L107_); trivial.
% 7.87/8.10 exact (zenon_H13a zenon_Ha1).
% 7.87/8.10 (* end of lemma zenon_L339_ *)
% 7.87/8.10 assert (zenon_L340_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e2)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((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))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H1ca zenon_H55 zenon_H113 zenon_Hbb zenon_H115 zenon_H2d zenon_Ha7 zenon_H18e zenon_H10e zenon_H5a zenon_H10b zenon_H111 zenon_H1c7 zenon_H6c zenon_H70 zenon_H38 zenon_H83 zenon_H13a.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1cb ].
% 7.87/8.10 apply (zenon_L322_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1cc ].
% 7.87/8.10 apply (zenon_L323_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H13e | zenon_intro zenon_He0 ].
% 7.87/8.10 apply (zenon_L325_); trivial.
% 7.87/8.10 apply (zenon_L339_); trivial.
% 7.87/8.10 (* end of lemma zenon_L340_ *)
% 7.87/8.10 assert (zenon_L341_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((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))))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H162 zenon_H1cd zenon_H95 zenon_Hb9 zenon_H8f zenon_H89 zenon_H128 zenon_H67 zenon_H1d0 zenon_H12d zenon_H12b zenon_H1ca zenon_H55 zenon_H113 zenon_Hbb zenon_H2d zenon_Ha7 zenon_H18e zenon_H10e zenon_H5a zenon_H10b zenon_H111 zenon_H1c7 zenon_H6c zenon_H38 zenon_H83 zenon_H13a zenon_Hef zenon_H26 zenon_Haa zenon_Hfc zenon_H5e.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.87/8.10 apply (zenon_L66_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.87/8.10 apply (zenon_L337_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.10 apply (zenon_L338_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.10 apply (zenon_L205_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.10 apply (zenon_L340_); trivial.
% 7.87/8.10 apply (zenon_L140_); trivial.
% 7.87/8.10 apply (zenon_L109_); trivial.
% 7.87/8.10 (* end of lemma zenon_L341_ *)
% 7.87/8.10 assert (zenon_L342_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e2)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H1ca zenon_H55 zenon_H113 zenon_Hbb zenon_H115 zenon_H2d zenon_Ha7 zenon_H18e zenon_H10e zenon_H5a zenon_H111 zenon_H1c7 zenon_H6c zenon_H70 zenon_H10b zenon_H82 zenon_H13a.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1cb ].
% 7.87/8.10 apply (zenon_L322_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1cc ].
% 7.87/8.10 apply (zenon_L323_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H13e | zenon_intro zenon_He0 ].
% 7.87/8.10 apply (zenon_L325_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H98 | zenon_intro zenon_Ha8 ].
% 7.87/8.10 apply (zenon_L327_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9c | zenon_intro zenon_Ha9 ].
% 7.87/8.10 apply (zenon_L43_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha1 ].
% 7.87/8.10 apply (zenon_L115_); trivial.
% 7.87/8.10 exact (zenon_H13a zenon_Ha1).
% 7.87/8.10 (* end of lemma zenon_L342_ *)
% 7.87/8.10 assert (zenon_L343_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H162 zenon_H8f zenon_H67 zenon_H134 zenon_H26 zenon_H33 zenon_Hc7 zenon_Hcc zenon_Hca zenon_H2c zenon_H173 zenon_H19b zenon_H1ca zenon_H55 zenon_H113 zenon_Hbb zenon_H2d zenon_Ha7 zenon_H18e zenon_H10e zenon_H5a zenon_H111 zenon_H1c7 zenon_H6c zenon_H10b zenon_H82 zenon_H13a zenon_Hef zenon_Haa zenon_Hfc zenon_H5e.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.87/8.10 apply (zenon_L66_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.87/8.10 apply (zenon_L164_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.10 apply (zenon_L338_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.10 apply (zenon_L205_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.10 apply (zenon_L342_); trivial.
% 7.87/8.10 apply (zenon_L297_); trivial.
% 7.87/8.10 apply (zenon_L109_); trivial.
% 7.87/8.10 (* end of lemma zenon_L343_ *)
% 7.87/8.10 assert (zenon_L344_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_Haa zenon_H86 zenon_H16e zenon_H115 zenon_Hef zenon_H6c zenon_H9c zenon_Hfc zenon_H12d.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.10 apply (zenon_L217_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.10 apply (zenon_L205_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.10 apply (zenon_L43_); trivial.
% 7.87/8.10 apply (zenon_L139_); trivial.
% 7.87/8.10 (* end of lemma zenon_L344_ *)
% 7.87/8.10 assert (zenon_L345_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H162 zenon_H28 zenon_H2d zenon_H67 zenon_H12d zenon_H9c zenon_H6c zenon_Hef zenon_H16e zenon_H86 zenon_Haa zenon_Hfc zenon_H5e.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.87/8.10 apply (zenon_L213_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.87/8.10 apply (zenon_L164_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.87/8.10 apply (zenon_L344_); trivial.
% 7.87/8.10 apply (zenon_L109_); trivial.
% 7.87/8.10 (* end of lemma zenon_L345_ *)
% 7.87/8.10 assert (zenon_L346_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H162 zenon_H28 zenon_H67 zenon_Hdc zenon_H6c zenon_H1ca zenon_H55 zenon_H113 zenon_Hbb zenon_H2d zenon_Ha7 zenon_H18e zenon_H10e zenon_H5a zenon_H111 zenon_H1c7 zenon_H10b zenon_H82 zenon_H13a zenon_Hef zenon_H16e zenon_H86 zenon_Haa zenon_Hfc zenon_H5e.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.87/8.10 apply (zenon_L213_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.87/8.10 apply (zenon_L164_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.10 apply (zenon_L217_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.10 apply (zenon_L205_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.10 apply (zenon_L342_); trivial.
% 7.87/8.10 apply (zenon_L73_); trivial.
% 7.87/8.10 apply (zenon_L109_); trivial.
% 7.87/8.10 (* end of lemma zenon_L346_ *)
% 7.87/8.10 assert (zenon_L347_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H11e zenon_H99 zenon_H20 zenon_H81 zenon_H13b zenon_H19b zenon_H173 zenon_H2c zenon_Hca zenon_Hcc zenon_Hc7 zenon_H33 zenon_H134 zenon_H8f zenon_H130 zenon_H12d zenon_H162 zenon_H28 zenon_H67 zenon_H6c zenon_H1ca zenon_H55 zenon_H113 zenon_Hbb zenon_H2d zenon_Ha7 zenon_H18e zenon_H10e zenon_H5a zenon_H111 zenon_H1c7 zenon_H10b zenon_H82 zenon_H13a zenon_Hef zenon_H16e zenon_H86 zenon_Haa zenon_Hfc zenon_H5e.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.87/8.10 apply (zenon_L116_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.87/8.10 apply (zenon_L85_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.87/8.10 apply (zenon_L35_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.10 apply (zenon_L343_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.10 apply (zenon_L142_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.10 apply (zenon_L345_); trivial.
% 7.87/8.10 apply (zenon_L346_); trivial.
% 7.87/8.10 (* end of lemma zenon_L347_ *)
% 7.87/8.10 assert (zenon_L348_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((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)) = (e0)) -> ((op (e1) (e2)) = (e3)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e2)) -> False).
% 7.87/8.10 do 0 intro. intros zenon_Haa zenon_H86 zenon_H16e zenon_Hef zenon_H5e zenon_Hfc zenon_Hf1 zenon_Hbc zenon_H64 zenon_Hff zenon_H2d zenon_H115 zenon_H170 zenon_H2c zenon_H40 zenon_H33 zenon_H98 zenon_H99 zenon_H142 zenon_H10b zenon_H111 zenon_Hca zenon_H20 zenon_H51 zenon_H6c zenon_Hdc.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.10 apply (zenon_L217_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.10 apply (zenon_L205_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.87/8.10 apply (zenon_L260_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.87/8.10 apply (zenon_L293_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 7.87/8.10 apply (zenon_L326_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 7.87/8.10 apply (zenon_L41_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 7.87/8.10 apply (zenon_L227_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 7.87/8.10 apply (zenon_L325_); trivial.
% 7.87/8.10 apply (zenon_L170_); trivial.
% 7.87/8.10 apply (zenon_L73_); trivial.
% 7.87/8.10 (* end of lemma zenon_L348_ *)
% 7.87/8.10 assert (zenon_L349_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e1) (e1)) = (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)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H162 zenon_H28 zenon_H67 zenon_Hdc zenon_H6c zenon_Ha7 zenon_H51 zenon_H20 zenon_Hca zenon_H111 zenon_H10b zenon_H142 zenon_H99 zenon_H33 zenon_H40 zenon_H2c zenon_H170 zenon_H2d zenon_Hff zenon_H64 zenon_Hbc zenon_Hf1 zenon_Hef zenon_H16e zenon_H86 zenon_Haa zenon_H38 zenon_H83 zenon_H13a zenon_Hfc zenon_H5e.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.87/8.10 apply (zenon_L213_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.87/8.10 apply (zenon_L164_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.10 apply (zenon_L217_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.10 apply (zenon_L205_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H98 | zenon_intro zenon_Ha8 ].
% 7.87/8.10 apply (zenon_L348_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9c | zenon_intro zenon_Ha9 ].
% 7.87/8.10 apply (zenon_L43_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha1 ].
% 7.87/8.10 apply (zenon_L107_); trivial.
% 7.87/8.10 exact (zenon_H13a zenon_Ha1).
% 7.87/8.10 apply (zenon_L73_); trivial.
% 7.87/8.10 apply (zenon_L109_); trivial.
% 7.87/8.10 (* end of lemma zenon_L349_ *)
% 7.87/8.10 assert (zenon_L350_ : (((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 (e2) (e3)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((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)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((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) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (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)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H11e zenon_H5e zenon_Hfc zenon_H13a zenon_H38 zenon_Haa zenon_H86 zenon_H16e zenon_Hef zenon_H64 zenon_Hff zenon_H2d zenon_H170 zenon_H2c zenon_H40 zenon_H33 zenon_H99 zenon_H142 zenon_H10b zenon_H111 zenon_Hca zenon_H20 zenon_H51 zenon_Ha7 zenon_H6c zenon_H67 zenon_H28 zenon_H162 zenon_H12d zenon_H8f zenon_H134 zenon_Hc7 zenon_Hcc zenon_H173 zenon_H19b zenon_H1ca zenon_H55 zenon_H113 zenon_Hbb zenon_H18e zenon_H10e zenon_H5a zenon_H1c7 zenon_H13b zenon_Hf1 zenon_Hbc.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.87/8.10 apply (zenon_L116_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.87/8.10 apply (zenon_L85_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.87/8.10 apply (zenon_L66_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.87/8.10 apply (zenon_L164_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.10 apply (zenon_L338_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.10 apply (zenon_L205_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.10 apply (zenon_L340_); trivial.
% 7.87/8.10 apply (zenon_L297_); trivial.
% 7.87/8.10 apply (zenon_L109_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.10 apply (zenon_L85_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.10 apply (zenon_L345_); trivial.
% 7.87/8.10 apply (zenon_L349_); trivial.
% 7.87/8.10 apply (zenon_L113_); trivial.
% 7.87/8.10 (* end of lemma zenon_L350_ *)
% 7.87/8.10 assert (zenon_L351_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((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)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((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 (e2) (e3)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((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)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((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) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (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)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H124 zenon_H137 zenon_Hf8 zenon_H4e zenon_H31 zenon_H24 zenon_Hec zenon_H130 zenon_H81 zenon_H11e zenon_H5e zenon_Hfc zenon_H13a zenon_H38 zenon_Haa zenon_H86 zenon_H16e zenon_Hef zenon_H64 zenon_Hff zenon_H2d zenon_H170 zenon_H2c zenon_H40 zenon_H33 zenon_H99 zenon_H142 zenon_H10b zenon_H111 zenon_Hca zenon_H20 zenon_H51 zenon_Ha7 zenon_H6c zenon_H67 zenon_H28 zenon_H162 zenon_H12d zenon_H8f zenon_H134 zenon_Hc7 zenon_Hcc zenon_H173 zenon_H19b zenon_H1ca zenon_H55 zenon_H113 zenon_Hbb zenon_H18e zenon_H10e zenon_H5a zenon_H1c7 zenon_H13b zenon_Hf1.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.87/8.10 exact (zenon_H24 zenon_H1f).
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.87/8.10 exact (zenon_H24 zenon_H1f).
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.87/8.10 apply (zenon_L116_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.87/8.10 apply (zenon_L260_); trivial.
% 7.87/8.10 apply (zenon_L332_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.87/8.10 apply (zenon_L347_); trivial.
% 7.87/8.10 apply (zenon_L350_); trivial.
% 7.87/8.10 (* end of lemma zenon_L351_ *)
% 7.87/8.10 assert (zenon_L352_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e3)) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e2)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H142 zenon_H31 zenon_H13a zenon_H83 zenon_H38 zenon_H99 zenon_H1c7 zenon_H111 zenon_H10b zenon_H5a zenon_H10e zenon_H70 zenon_H18e zenon_Ha7 zenon_Hbb zenon_H113 zenon_H55 zenon_H1ca zenon_H115 zenon_H2d zenon_Hbd zenon_He3.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 7.87/8.10 apply (zenon_L15_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1cb ].
% 7.87/8.10 apply (zenon_L322_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1cc ].
% 7.87/8.10 apply (zenon_L323_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H13e | zenon_intro zenon_He0 ].
% 7.87/8.10 apply (zenon_L325_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H98 | zenon_intro zenon_Ha8 ].
% 7.87/8.10 apply (zenon_L327_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9c | zenon_intro zenon_Ha9 ].
% 7.87/8.10 apply (zenon_L97_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha1 ].
% 7.87/8.10 apply (zenon_L107_); trivial.
% 7.87/8.10 exact (zenon_H13a zenon_Ha1).
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 7.87/8.10 apply (zenon_L325_); trivial.
% 7.87/8.10 apply (zenon_L186_); trivial.
% 7.87/8.10 (* end of lemma zenon_L352_ *)
% 7.87/8.10 assert (zenon_L353_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e3)) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H162 zenon_H28 zenon_H67 zenon_H12d zenon_H142 zenon_H31 zenon_H13a zenon_H83 zenon_H38 zenon_H99 zenon_H1c7 zenon_H111 zenon_H10b zenon_H5a zenon_H10e zenon_H18e zenon_Ha7 zenon_Hbb zenon_H113 zenon_H55 zenon_H1ca zenon_H2d zenon_Hbd zenon_He3 zenon_Hef zenon_H16e zenon_H86 zenon_Haa zenon_Hfc zenon_H5e.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.87/8.10 apply (zenon_L213_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.87/8.10 apply (zenon_L164_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.10 apply (zenon_L217_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.10 apply (zenon_L205_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.10 apply (zenon_L352_); trivial.
% 7.87/8.10 apply (zenon_L139_); trivial.
% 7.87/8.10 apply (zenon_L109_); trivial.
% 7.87/8.10 (* end of lemma zenon_L353_ *)
% 7.87/8.10 assert (zenon_L354_ : (~((e1) = (e3))) -> ((op (e2) (e2)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H8f zenon_H15c zenon_H13e.
% 7.87/8.10 cut (((op (e2) (e2)) = (e3)) = ((e1) = (e3))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_H8f.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_H15c.
% 7.87/8.10 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.10 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 7.87/8.10 congruence.
% 7.87/8.10 exact (zenon_H13f zenon_H13e).
% 7.87/8.10 apply zenon_H69. apply refl_equal.
% 7.87/8.10 (* end of lemma zenon_L354_ *)
% 7.87/8.10 assert (zenon_L355_ : (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H6c zenon_Hf7 zenon_H148.
% 7.87/8.10 cut (((op (e3) (e2)) = (e3)) = ((e2) = (e3))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_H6c.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_Hf7.
% 7.87/8.10 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.87/8.10 cut (((op (e3) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1d3].
% 7.87/8.10 congruence.
% 7.87/8.10 exact (zenon_H1d3 zenon_H148).
% 7.87/8.10 apply zenon_H69. apply refl_equal.
% 7.87/8.10 (* end of lemma zenon_L355_ *)
% 7.87/8.10 assert (zenon_L356_ : (((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 (e2) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e2)) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H1d0 zenon_H67 zenon_H111 zenon_H2d zenon_H13e zenon_H8f zenon_H6c zenon_H148.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d1 ].
% 7.87/8.10 apply (zenon_L118_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H115 | zenon_intro zenon_H1d2 ].
% 7.87/8.10 apply (zenon_L325_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15c | zenon_intro zenon_Hf7 ].
% 7.87/8.10 apply (zenon_L354_); trivial.
% 7.87/8.10 apply (zenon_L355_); trivial.
% 7.87/8.10 (* end of lemma zenon_L356_ *)
% 7.87/8.10 assert (zenon_L357_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H1c7 zenon_H10b zenon_H6c zenon_H8f zenon_H2d zenon_H111 zenon_H67 zenon_H1d0 zenon_H148 zenon_H5a zenon_H70 zenon_H18e.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H36 | zenon_intro zenon_H1c8 ].
% 7.87/8.10 apply (zenon_L326_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H13e | zenon_intro zenon_H1c9 ].
% 7.87/8.10 apply (zenon_L356_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H9f | zenon_intro zenon_H15c ].
% 7.87/8.10 apply (zenon_L178_); trivial.
% 7.87/8.10 apply (zenon_L273_); trivial.
% 7.87/8.10 (* end of lemma zenon_L357_ *)
% 7.87/8.10 assert (zenon_L358_ : ((op (e3) (e3)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H195 zenon_Ha2 zenon_H5e.
% 7.87/8.10 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H4a | zenon_intro zenon_H4b ].
% 7.87/8.10 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e1) (e3)) = (op (e3) (e3)))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_H5e.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_H4a.
% 7.87/8.10 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.87/8.10 cut (((op (e3) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 7.87/8.10 congruence.
% 7.87/8.10 cut (((op (e3) (e3)) = (e2)) = ((op (e3) (e3)) = (op (e1) (e3)))).
% 7.87/8.10 intro zenon_D_pnotp.
% 7.87/8.10 apply zenon_H5f.
% 7.87/8.10 rewrite <- zenon_D_pnotp.
% 7.87/8.10 exact zenon_H195.
% 7.87/8.10 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 7.87/8.10 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.87/8.10 congruence.
% 7.87/8.10 apply zenon_H4b. apply refl_equal.
% 7.87/8.10 apply zenon_Ha6. apply sym_equal. exact zenon_Ha2.
% 7.87/8.10 apply zenon_H4b. apply refl_equal.
% 7.87/8.10 apply zenon_H4b. apply refl_equal.
% 7.87/8.10 (* end of lemma zenon_L358_ *)
% 7.87/8.10 assert (zenon_L359_ : (((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)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (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) (e1)) = (e0)) -> (~((e1) = (e3))) -> (~((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 (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H197 zenon_H20 zenon_H3e zenon_H33 zenon_H40 zenon_Hf4 zenon_H2c zenon_H170 zenon_H18e zenon_H70 zenon_H5a zenon_H1d0 zenon_H67 zenon_H111 zenon_H2d zenon_H8f zenon_H6c zenon_H10b zenon_H1c7 zenon_Ha2 zenon_H5e.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H93 | zenon_intro zenon_H198 ].
% 7.87/8.10 apply (zenon_L77_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hdc | zenon_intro zenon_H199 ].
% 7.87/8.10 apply (zenon_L227_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H148 | zenon_intro zenon_H195 ].
% 7.87/8.10 apply (zenon_L357_); trivial.
% 7.87/8.10 apply (zenon_L358_); trivial.
% 7.87/8.10 (* end of lemma zenon_L359_ *)
% 7.87/8.10 assert (zenon_L360_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H4e zenon_H5e zenon_H1c7 zenon_H10b zenon_H6c zenon_H8f zenon_H67 zenon_H1d0 zenon_H5a zenon_H70 zenon_H18e zenon_H170 zenon_H2c zenon_Hf4 zenon_H40 zenon_H33 zenon_H20 zenon_H197 zenon_H2d zenon_H173 zenon_H111 zenon_Hf8 zenon_H150 zenon_He3 zenon_Hbd zenon_H64 zenon_Ha2 zenon_Hfc zenon_H49.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.87/8.10 apply (zenon_L359_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.87/8.10 apply (zenon_L330_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.87/8.10 apply (zenon_L331_); trivial.
% 7.87/8.10 apply (zenon_L188_); trivial.
% 7.87/8.10 (* end of lemma zenon_L360_ *)
% 7.87/8.10 assert (zenon_L361_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H162 zenon_H86 zenon_H28 zenon_H12d zenon_H4e zenon_H1c7 zenon_H10b zenon_H6c zenon_H8f zenon_H67 zenon_H1d0 zenon_H5a zenon_H18e zenon_H170 zenon_H2c zenon_Hf4 zenon_H40 zenon_H33 zenon_H20 zenon_H197 zenon_H2d zenon_H173 zenon_H111 zenon_Hf8 zenon_H150 zenon_He3 zenon_Hbd zenon_H64 zenon_Ha2 zenon_H49 zenon_Hef zenon_H26 zenon_Haa zenon_Hfc zenon_H5e.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.87/8.10 apply (zenon_L213_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.87/8.10 apply (zenon_L164_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.10 apply (zenon_L338_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.10 apply (zenon_L205_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.10 apply (zenon_L360_); trivial.
% 7.87/8.10 apply (zenon_L139_); trivial.
% 7.87/8.10 apply (zenon_L109_); trivial.
% 7.87/8.10 (* end of lemma zenon_L361_ *)
% 7.87/8.10 assert (zenon_L362_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H162 zenon_Hbb zenon_H67 zenon_Hde zenon_H8f zenon_H170 zenon_H2d zenon_H2c zenon_Hdc zenon_H40 zenon_H33 zenon_Hef zenon_H16e zenon_H86 zenon_Haa zenon_Hfc zenon_H5e.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.87/8.10 apply (zenon_L66_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.87/8.10 apply (zenon_L164_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.10 apply (zenon_L217_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.10 apply (zenon_L205_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.10 apply (zenon_L239_); trivial.
% 7.87/8.10 apply (zenon_L91_); trivial.
% 7.87/8.10 apply (zenon_L109_); trivial.
% 7.87/8.10 (* end of lemma zenon_L362_ *)
% 7.87/8.10 assert (zenon_L363_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((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)) = (e1)) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.10 do 0 intro. intros zenon_H13b zenon_He3 zenon_Hbd zenon_H1ca zenon_H55 zenon_H113 zenon_Ha7 zenon_H18e zenon_H10e zenon_H5a zenon_H10b zenon_H111 zenon_H1c7 zenon_H99 zenon_H38 zenon_H83 zenon_H13a zenon_H31 zenon_H142 zenon_H20 zenon_H6c zenon_H12d zenon_H28 zenon_H162 zenon_Hbb zenon_H67 zenon_Hde zenon_H8f zenon_H170 zenon_H2d zenon_H2c zenon_H40 zenon_H33 zenon_Hef zenon_H16e zenon_H86 zenon_Haa zenon_Hfc zenon_H5e.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.87/8.10 apply (zenon_L66_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.87/8.10 apply (zenon_L164_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.10 apply (zenon_L338_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.10 apply (zenon_L205_); trivial.
% 7.87/8.10 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.11 apply (zenon_L352_); trivial.
% 7.87/8.11 apply (zenon_L91_); trivial.
% 7.87/8.11 apply (zenon_L109_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.87/8.11 apply (zenon_L85_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.87/8.11 apply (zenon_L345_); trivial.
% 7.87/8.11 apply (zenon_L362_); trivial.
% 7.87/8.11 (* end of lemma zenon_L363_ *)
% 7.87/8.11 assert (zenon_L364_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 7.87/8.11 do 0 intro. intros zenon_Haa zenon_H26 zenon_H115 zenon_Hef zenon_H5e zenon_Ha2 zenon_H1c7 zenon_H10b zenon_H6c zenon_H8f zenon_H2d zenon_H111 zenon_H67 zenon_H1d0 zenon_H5a zenon_H18e zenon_H170 zenon_H2c zenon_Hf4 zenon_H40 zenon_H33 zenon_H3e zenon_H20 zenon_H197 zenon_H12b zenon_H12d.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.11 apply (zenon_L338_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.11 apply (zenon_L205_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.11 apply (zenon_L359_); trivial.
% 7.87/8.11 apply (zenon_L140_); trivial.
% 7.87/8.11 (* end of lemma zenon_L364_ *)
% 7.87/8.11 assert (zenon_L365_ : (((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 (e1) (e1)) = (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) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((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 (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e1)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (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 (e1) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.87/8.11 do 0 intro. intros zenon_H162 zenon_Hbb zenon_He3 zenon_Hbd zenon_H2d zenon_H4e zenon_H12d zenon_H12b zenon_H197 zenon_H20 zenon_H33 zenon_H40 zenon_H2c zenon_H170 zenon_H18e zenon_H5a zenon_H1d0 zenon_H67 zenon_H8f zenon_H6c zenon_H10b zenon_H1c7 zenon_Hef zenon_H26 zenon_Haa zenon_H55 zenon_Hde zenon_H111 zenon_Hf8 zenon_H150 zenon_H64 zenon_Ha2 zenon_H49 zenon_H31 zenon_H142 zenon_Hfc zenon_H5e.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.87/8.11 apply (zenon_L66_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.87/8.11 apply (zenon_L164_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 7.87/8.11 apply (zenon_L15_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.87/8.11 apply (zenon_L364_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.87/8.11 apply (zenon_L79_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.87/8.11 apply (zenon_L331_); trivial.
% 7.87/8.11 apply (zenon_L188_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 7.87/8.11 apply (zenon_L325_); trivial.
% 7.87/8.11 apply (zenon_L186_); trivial.
% 7.87/8.11 apply (zenon_L109_); trivial.
% 7.87/8.11 (* end of lemma zenon_L365_ *)
% 7.87/8.11 assert (zenon_L366_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e2)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> False).
% 7.87/8.11 do 0 intro. intros zenon_H1ca zenon_H113 zenon_Hbb zenon_H115 zenon_H2d zenon_Ha7 zenon_H18e zenon_H70 zenon_H10e zenon_H5a zenon_H111 zenon_H1c7 zenon_Hf4 zenon_H99 zenon_H10b zenon_H82 zenon_H13a.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1cb ].
% 7.87/8.11 apply (zenon_L65_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1cc ].
% 7.87/8.11 apply (zenon_L323_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H13e | zenon_intro zenon_He0 ].
% 7.87/8.11 apply (zenon_L325_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H98 | zenon_intro zenon_Ha8 ].
% 7.87/8.11 apply (zenon_L327_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9c | zenon_intro zenon_Ha9 ].
% 7.87/8.11 apply (zenon_L97_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha1 ].
% 7.87/8.11 apply (zenon_L115_); trivial.
% 7.87/8.11 exact (zenon_H13a zenon_Ha1).
% 7.87/8.11 (* end of lemma zenon_L366_ *)
% 7.87/8.11 assert (zenon_L367_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e3)) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e1)) -> (~((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)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False).
% 7.87/8.11 do 0 intro. intros zenon_H142 zenon_H55 zenon_H31 zenon_H13a zenon_H82 zenon_H10b zenon_H99 zenon_H1c7 zenon_H111 zenon_H5a zenon_H10e zenon_H70 zenon_H18e zenon_Ha7 zenon_Hbb zenon_H113 zenon_H1ca zenon_H115 zenon_H2d zenon_Hbd zenon_He3.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 7.87/8.11 apply (zenon_L15_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 7.87/8.11 apply (zenon_L366_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 7.87/8.11 apply (zenon_L325_); trivial.
% 7.87/8.11 apply (zenon_L186_); trivial.
% 7.87/8.11 (* end of lemma zenon_L367_ *)
% 7.87/8.11 assert (zenon_L368_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e3) (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 7.87/8.11 do 0 intro. intros zenon_H124 zenon_H24 zenon_H49 zenon_H64 zenon_H150 zenon_Hf8 zenon_H6c zenon_H8f zenon_H1d0 zenon_H170 zenon_H2c zenon_H40 zenon_H33 zenon_H197 zenon_H12b zenon_H4e zenon_H13b zenon_H173 zenon_H89 zenon_H134 zenon_Hcc zenon_Hca zenon_H19b zenon_H184 zenon_H11e zenon_H20 zenon_H5e zenon_Hfc zenon_Haa zenon_H86 zenon_H16e zenon_Hef zenon_He3 zenon_Hbd zenon_H2d zenon_H1ca zenon_H55 zenon_H113 zenon_Hbb zenon_Ha7 zenon_H18e zenon_H10e zenon_H5a zenon_H10b zenon_H111 zenon_H1c7 zenon_H99 zenon_H38 zenon_H13a zenon_H31 zenon_H142 zenon_H12d zenon_H67 zenon_H28 zenon_H162 zenon_Hf1.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.87/8.11 exact (zenon_H24 zenon_H1f).
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H185 ].
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.87/8.11 apply (zenon_L116_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.87/8.11 apply (zenon_L85_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.87/8.11 apply (zenon_L353_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.87/8.11 apply (zenon_L66_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.87/8.11 apply (zenon_L164_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.87/8.11 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.11 apply (zenon_L217_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.11 apply (zenon_L205_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 7.87/8.11 apply (zenon_L15_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 7.87/8.11 apply (zenon_L360_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 7.87/8.11 apply (zenon_L325_); trivial.
% 7.87/8.11 apply (zenon_L186_); trivial.
% 7.87/8.11 apply (zenon_L297_); trivial.
% 7.87/8.11 apply (zenon_L109_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H186 ].
% 7.87/8.11 apply (zenon_L221_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hde ].
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.87/8.11 apply (zenon_L116_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.87/8.11 apply (zenon_L128_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.87/8.11 apply (zenon_L353_); trivial.
% 7.87/8.11 apply (zenon_L361_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.87/8.11 apply (zenon_L116_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.87/8.11 apply (zenon_L85_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.87/8.11 apply (zenon_L363_); trivial.
% 7.87/8.11 apply (zenon_L365_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.87/8.11 apply (zenon_L213_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.87/8.11 apply (zenon_L164_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.87/8.11 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.87/8.11 apply (zenon_L217_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.87/8.11 apply (zenon_L205_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.87/8.11 apply (zenon_L367_); trivial.
% 7.87/8.11 apply (zenon_L139_); trivial.
% 7.87/8.11 apply (zenon_L109_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.87/8.11 apply (zenon_L116_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.87/8.11 apply (zenon_L85_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.87/8.11 apply (zenon_L353_); trivial.
% 7.87/8.11 apply (zenon_L113_); trivial.
% 7.87/8.11 (* end of lemma zenon_L368_ *)
% 7.87/8.11 assert (zenon_L369_ : (((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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e3) (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 7.87/8.11 do 0 intro. intros zenon_H15f zenon_H51 zenon_Hff zenon_H81 zenon_H130 zenon_Hec zenon_H137 zenon_H124 zenon_H24 zenon_H49 zenon_H64 zenon_H150 zenon_Hf8 zenon_H6c zenon_H8f zenon_H1d0 zenon_H170 zenon_H2c zenon_H40 zenon_H33 zenon_H197 zenon_H12b zenon_H4e zenon_H13b zenon_H173 zenon_H89 zenon_H134 zenon_Hcc zenon_Hca zenon_H19b zenon_H184 zenon_H11e zenon_H20 zenon_H5e zenon_Hfc zenon_Haa zenon_H86 zenon_H16e zenon_Hef zenon_Hbd zenon_H2d zenon_H1ca zenon_H55 zenon_H113 zenon_Hbb zenon_Ha7 zenon_H18e zenon_H10e zenon_H5a zenon_H10b zenon_H111 zenon_H1c7 zenon_H99 zenon_H38 zenon_H13a zenon_H31 zenon_H142 zenon_H12d zenon_H67 zenon_H28 zenon_H162 zenon_Hf1.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 7.87/8.11 apply (zenon_L333_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 7.87/8.11 apply (zenon_L351_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 7.87/8.11 apply (zenon_L322_); trivial.
% 7.87/8.11 apply (zenon_L368_); trivial.
% 7.87/8.11 (* end of lemma zenon_L369_ *)
% 7.87/8.11 assert (zenon_L370_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (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 (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (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 (e2) (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 (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 7.87/8.11 do 0 intro. intros zenon_H95 zenon_Hf1 zenon_H162 zenon_H28 zenon_H12d zenon_H142 zenon_H13a zenon_H38 zenon_H99 zenon_H1c7 zenon_H111 zenon_H10b zenon_H5a zenon_H10e zenon_H18e zenon_Ha7 zenon_H113 zenon_H55 zenon_H1ca zenon_H2d zenon_Hbd zenon_Hef zenon_H16e zenon_Haa zenon_Hfc zenon_H5e zenon_H20 zenon_H11e zenon_H184 zenon_H19b zenon_Hca zenon_Hcc zenon_H134 zenon_H89 zenon_H173 zenon_H13b zenon_H4e zenon_H12b zenon_H197 zenon_H33 zenon_H40 zenon_H2c zenon_H170 zenon_H1d0 zenon_Hf8 zenon_H150 zenon_H64 zenon_H49 zenon_H24 zenon_H124 zenon_H137 zenon_Hec zenon_H130 zenon_H81 zenon_Hff zenon_H51 zenon_H15f zenon_H8f zenon_Hbb zenon_H67 zenon_H31 zenon_H6c zenon_H93.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.87/8.11 apply (zenon_L369_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.87/8.11 apply (zenon_L66_); trivial.
% 7.87/8.11 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.87/8.11 apply (zenon_L123_); trivial.
% 7.87/8.11 apply (zenon_L39_); trivial.
% 7.87/8.11 (* end of lemma zenon_L370_ *)
% 7.87/8.11 assert (zenon_L371_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (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 (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (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 (e2) (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 (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H128 zenon_H95 zenon_Hf1 zenon_H162 zenon_H28 zenon_H12d zenon_H142 zenon_H13a zenon_H38 zenon_H99 zenon_H1c7 zenon_H111 zenon_H10b zenon_H5a zenon_H10e zenon_H18e zenon_Ha7 zenon_H113 zenon_H55 zenon_H1ca zenon_H2d zenon_Hbd zenon_Hef zenon_H16e zenon_Haa zenon_Hfc zenon_H5e zenon_H20 zenon_H11e zenon_H184 zenon_H19b zenon_Hca zenon_Hcc zenon_H134 zenon_H89 zenon_H173 zenon_H13b zenon_H4e zenon_H12b zenon_H197 zenon_H33 zenon_H40 zenon_H2c zenon_H170 zenon_H1d0 zenon_Hf8 zenon_H150 zenon_H64 zenon_H49 zenon_H24 zenon_H124 zenon_H137 zenon_Hec zenon_H130 zenon_H81 zenon_Hff zenon_H51 zenon_H15f zenon_H8f zenon_Hbb zenon_H67 zenon_H31 zenon_H6c.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.95/8.11 exact (zenon_H24 zenon_H1f).
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.95/8.11 apply (zenon_L116_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.95/8.11 apply (zenon_L329_); trivial.
% 7.95/8.11 apply (zenon_L370_); trivial.
% 7.95/8.11 (* end of lemma zenon_L371_ *)
% 7.95/8.11 assert (zenon_L372_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> ((op (e2) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H197 zenon_H20 zenon_H3e zenon_H70 zenon_H33 zenon_H40 zenon_Hde zenon_H2c zenon_H2d zenon_H170 zenon_H9f zenon_H5a zenon_Ha2 zenon_H5e.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H93 | zenon_intro zenon_H198 ].
% 7.95/8.11 apply (zenon_L77_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hdc | zenon_intro zenon_H199 ].
% 7.95/8.11 apply (zenon_L239_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H148 | zenon_intro zenon_H195 ].
% 7.95/8.11 apply (zenon_L178_); trivial.
% 7.95/8.11 apply (zenon_L358_); trivial.
% 7.95/8.11 (* end of lemma zenon_L372_ *)
% 7.95/8.11 assert (zenon_L373_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H1d4 zenon_H3e zenon_H41.
% 7.95/8.11 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e1)))).
% 7.95/8.11 intro zenon_D_pnotp.
% 7.95/8.11 apply zenon_H1d4.
% 7.95/8.11 rewrite <- zenon_D_pnotp.
% 7.95/8.11 exact zenon_H3e.
% 7.95/8.11 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H42].
% 7.95/8.11 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 7.95/8.11 congruence.
% 7.95/8.11 apply zenon_H181. apply refl_equal.
% 7.95/8.11 apply zenon_H42. apply sym_equal. exact zenon_H41.
% 7.95/8.11 (* end of lemma zenon_L373_ *)
% 7.95/8.11 assert (zenon_L374_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H95 zenon_H1f zenon_H6c zenon_H89 zenon_H6d zenon_H10e zenon_H15c zenon_Hfc zenon_H128.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.11 apply (zenon_L243_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.11 apply (zenon_L37_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.11 apply (zenon_L200_); trivial.
% 7.95/8.11 apply (zenon_L137_); trivial.
% 7.95/8.11 (* end of lemma zenon_L374_ *)
% 7.95/8.11 assert (zenon_L375_ : (((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)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H1d0 zenon_H67 zenon_H111 zenon_Hef zenon_H128 zenon_Hfc zenon_H10e zenon_H6d zenon_H89 zenon_H6c zenon_H1f zenon_H95 zenon_H12b zenon_H1cd.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d1 ].
% 7.95/8.11 apply (zenon_L118_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H115 | zenon_intro zenon_H1d2 ].
% 7.95/8.11 apply (zenon_L205_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15c | zenon_intro zenon_Hf7 ].
% 7.95/8.11 apply (zenon_L374_); trivial.
% 7.95/8.11 apply (zenon_L336_); trivial.
% 7.95/8.11 (* end of lemma zenon_L375_ *)
% 7.95/8.11 assert (zenon_L376_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e3)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((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)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 7.95/8.11 do 0 intro. intros zenon_Hcc zenon_H66 zenon_Hde zenon_H173 zenon_H9c zenon_Hca zenon_H1d0 zenon_H67 zenon_H111 zenon_Hef zenon_H128 zenon_Hfc zenon_H10e zenon_H89 zenon_H6c zenon_H1f zenon_H95 zenon_H12b zenon_H1cd.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H2d | zenon_intro zenon_Hcd ].
% 7.95/8.11 apply (zenon_L304_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hce ].
% 7.95/8.11 apply (zenon_L306_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 7.95/8.11 apply (zenon_L185_); trivial.
% 7.95/8.11 apply (zenon_L375_); trivial.
% 7.95/8.11 (* end of lemma zenon_L376_ *)
% 7.95/8.11 assert (zenon_L377_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (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)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H137 zenon_H3e zenon_H1d4 zenon_H1cd zenon_H12b zenon_H95 zenon_H1f zenon_H6c zenon_H89 zenon_H10e zenon_H128 zenon_Hef zenon_H111 zenon_H67 zenon_H1d0 zenon_Hca zenon_H173 zenon_H66 zenon_Hcc zenon_H9c zenon_H134 zenon_Hfc zenon_H12d.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H41 | zenon_intro zenon_H138 ].
% 7.95/8.11 apply (zenon_L373_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hde | zenon_intro zenon_H139 ].
% 7.95/8.11 apply (zenon_L376_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hdc | zenon_intro zenon_H7f ].
% 7.95/8.11 apply (zenon_L145_); trivial.
% 7.95/8.11 apply (zenon_L139_); trivial.
% 7.95/8.11 (* end of lemma zenon_L377_ *)
% 7.95/8.11 assert (zenon_L378_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((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)) = (op (e2) (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 (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (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) (e1)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 7.95/8.11 do 0 intro. intros zenon_Haa zenon_H134 zenon_Hcc zenon_H173 zenon_Hca zenon_H1d4 zenon_H3e zenon_H137 zenon_H1cd zenon_H12b zenon_H95 zenon_H1f zenon_H89 zenon_H10e zenon_H128 zenon_Hef zenon_H111 zenon_H67 zenon_H1d0 zenon_H6c zenon_H9c zenon_Hfc zenon_H12d.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.95/8.11 apply (zenon_L377_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.95/8.11 apply (zenon_L375_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.95/8.11 apply (zenon_L43_); trivial.
% 7.95/8.11 apply (zenon_L139_); trivial.
% 7.95/8.11 (* end of lemma zenon_L378_ *)
% 7.95/8.11 assert (zenon_L379_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e2) = (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) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((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 (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False).
% 7.95/8.11 do 0 intro. intros zenon_Hec zenon_H12d zenon_Hfc zenon_H6c zenon_H1d0 zenon_H67 zenon_H111 zenon_Hef zenon_H128 zenon_H10e zenon_H89 zenon_H95 zenon_H12b zenon_H1cd zenon_H137 zenon_H1d4 zenon_Hca zenon_H173 zenon_Hcc zenon_H134 zenon_Haa zenon_H99 zenon_Hbb zenon_H17c zenon_H9c zenon_H3e zenon_H20.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.95/8.11 apply (zenon_L378_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.95/8.11 apply (zenon_L116_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.95/8.11 apply (zenon_L238_); trivial.
% 7.95/8.11 apply (zenon_L77_); trivial.
% 7.95/8.11 (* end of lemma zenon_L379_ *)
% 7.95/8.11 assert (zenon_L380_ : (~((op (op (e2) (e2)) (op (e2) (e2))) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H1d5 zenon_H15c.
% 7.95/8.11 cut (((op (e2) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1d6].
% 7.95/8.11 cut (((op (e2) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1d6].
% 7.95/8.11 congruence.
% 7.95/8.11 exact (zenon_H1d6 zenon_H15c).
% 7.95/8.11 exact (zenon_H1d6 zenon_H15c).
% 7.95/8.11 (* end of lemma zenon_L380_ *)
% 7.95/8.11 assert (zenon_L381_ : (~((op (op (e2) (e2)) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H1d7 zenon_H15c.
% 7.95/8.11 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.95/8.11 cut (((op (e2) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1d6].
% 7.95/8.11 congruence.
% 7.95/8.11 exact (zenon_H1d6 zenon_H15c).
% 7.95/8.11 apply zenon_H22. apply refl_equal.
% 7.95/8.11 (* end of lemma zenon_L381_ *)
% 7.95/8.11 assert (zenon_L382_ : ((op (e3) (e2)) = (e1)) -> ((op (e2) (e2)) = (e3)) -> (~((e1) = (op (op (e2) (e2)) (e2)))) -> False).
% 7.95/8.11 do 0 intro. intros zenon_He0 zenon_H15c zenon_H1d8.
% 7.95/8.11 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bb ].
% 7.95/8.11 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((e1) = (op (op (e2) (e2)) (e2)))).
% 7.95/8.11 intro zenon_D_pnotp.
% 7.95/8.11 apply zenon_H1d8.
% 7.95/8.11 rewrite <- zenon_D_pnotp.
% 7.95/8.11 exact zenon_H1ba.
% 7.95/8.11 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 7.95/8.11 cut (((op (op (e2) (e2)) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1d9].
% 7.95/8.11 congruence.
% 7.95/8.11 cut (((op (e3) (e2)) = (e1)) = ((op (op (e2) (e2)) (e2)) = (e1))).
% 7.95/8.11 intro zenon_D_pnotp.
% 7.95/8.11 apply zenon_H1d9.
% 7.95/8.11 rewrite <- zenon_D_pnotp.
% 7.95/8.11 exact zenon_He0.
% 7.95/8.11 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.95/8.11 cut (((op (e3) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1da].
% 7.95/8.11 congruence.
% 7.95/8.11 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bb ].
% 7.95/8.11 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((op (e3) (e2)) = (op (op (e2) (e2)) (e2)))).
% 7.95/8.11 intro zenon_D_pnotp.
% 7.95/8.11 apply zenon_H1da.
% 7.95/8.11 rewrite <- zenon_D_pnotp.
% 7.95/8.11 exact zenon_H1ba.
% 7.95/8.11 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 7.95/8.11 cut (((op (op (e2) (e2)) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1d7].
% 7.95/8.11 congruence.
% 7.95/8.11 apply (zenon_L381_); trivial.
% 7.95/8.11 apply zenon_H1bb. apply refl_equal.
% 7.95/8.11 apply zenon_H1bb. apply refl_equal.
% 7.95/8.11 apply zenon_H57. apply refl_equal.
% 7.95/8.11 apply zenon_H1bb. apply refl_equal.
% 7.95/8.11 apply zenon_H1bb. apply refl_equal.
% 7.95/8.11 (* end of lemma zenon_L382_ *)
% 7.95/8.11 assert (zenon_L383_ : ((op (e3) (e3)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> ((op (e2) (e2)) = (e3)) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H47 zenon_He0 zenon_H15c.
% 7.95/8.11 apply (zenon_notand_s _ _ ax9); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1db ].
% 7.95/8.11 elim (classic ((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2))))); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c2 ].
% 7.95/8.11 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2)))) = ((e0) = (op (op (e2) (e2)) (op (e2) (e2))))).
% 7.95/8.11 intro zenon_D_pnotp.
% 7.95/8.11 apply zenon_H1c0.
% 7.95/8.11 rewrite <- zenon_D_pnotp.
% 7.95/8.11 exact zenon_H1c1.
% 7.95/8.11 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 7.95/8.11 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1c3].
% 7.95/8.11 congruence.
% 7.95/8.11 cut (((op (e3) (e3)) = (e0)) = ((op (op (e2) (e2)) (op (e2) (e2))) = (e0))).
% 7.95/8.11 intro zenon_D_pnotp.
% 7.95/8.11 apply zenon_H1c3.
% 7.95/8.11 rewrite <- zenon_D_pnotp.
% 7.95/8.11 exact zenon_H47.
% 7.95/8.11 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.95/8.11 cut (((op (e3) (e3)) = (op (op (e2) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1dc].
% 7.95/8.11 congruence.
% 7.95/8.11 elim (classic ((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2))))); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c2 ].
% 7.95/8.11 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2)))) = ((op (e3) (e3)) = (op (op (e2) (e2)) (op (e2) (e2))))).
% 7.95/8.11 intro zenon_D_pnotp.
% 7.95/8.11 apply zenon_H1dc.
% 7.95/8.11 rewrite <- zenon_D_pnotp.
% 7.95/8.11 exact zenon_H1c1.
% 7.95/8.11 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 7.95/8.11 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1d5].
% 7.95/8.11 congruence.
% 7.95/8.11 apply (zenon_L380_); trivial.
% 7.95/8.11 apply zenon_H1c2. apply refl_equal.
% 7.95/8.11 apply zenon_H1c2. apply refl_equal.
% 7.95/8.11 apply zenon_H1d. apply refl_equal.
% 7.95/8.11 apply zenon_H1c2. apply refl_equal.
% 7.95/8.11 apply zenon_H1c2. apply refl_equal.
% 7.95/8.11 apply (zenon_notand_s _ _ zenon_H1db); [ zenon_intro zenon_H1dd | zenon_intro zenon_H1d8 ].
% 7.95/8.11 apply zenon_H1dd. apply sym_equal. exact zenon_H15c.
% 7.95/8.11 apply (zenon_L382_); trivial.
% 7.95/8.11 (* end of lemma zenon_L383_ *)
% 7.95/8.11 assert (zenon_L384_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H1c7 zenon_H111 zenon_H5a zenon_H10b zenon_H82 zenon_H47 zenon_He0.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H36 | zenon_intro zenon_H1c8 ].
% 7.95/8.11 apply (zenon_L326_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H13e | zenon_intro zenon_H1c9 ].
% 7.95/8.11 apply (zenon_L190_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H9f | zenon_intro zenon_H15c ].
% 7.95/8.11 apply (zenon_L115_); trivial.
% 7.95/8.11 apply (zenon_L383_); trivial.
% 7.95/8.11 (* end of lemma zenon_L384_ *)
% 7.95/8.11 assert (zenon_L385_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((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) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (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)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((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))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H11e zenon_H165 zenon_H154 zenon_H29 zenon_Hff zenon_H81 zenon_H13b zenon_H18e zenon_H55 zenon_H19b zenon_H2c zenon_H33 zenon_H130 zenon_H5e zenon_Hfc zenon_H1ca zenon_H113 zenon_H4e zenon_H20 zenon_H17c zenon_Hbb zenon_H99 zenon_Haa zenon_Hcc zenon_Hca zenon_H1d4 zenon_H1cd zenon_H12b zenon_H95 zenon_H89 zenon_H10e zenon_H128 zenon_Hef zenon_H67 zenon_H1d0 zenon_Hec zenon_H2d zenon_H173 zenon_H12d zenon_H40 zenon_Hc7 zenon_H131 zenon_H137 zenon_H1c7 zenon_H111 zenon_H5a zenon_H8f zenon_H162 zenon_Ha7 zenon_H6c zenon_H8e zenon_H134 zenon_H10b zenon_H82 zenon_H13a.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.95/8.11 apply (zenon_L116_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.95/8.11 apply (zenon_L246_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.95/8.11 apply (zenon_L35_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.95/8.11 apply (zenon_L343_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.95/8.11 apply (zenon_L142_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.95/8.11 apply (zenon_L66_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.95/8.11 apply (zenon_L164_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1cb ].
% 7.95/8.11 apply (zenon_L65_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1cc ].
% 7.95/8.11 apply (zenon_L323_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H13e | zenon_intro zenon_He0 ].
% 7.95/8.11 apply (zenon_L325_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.95/8.11 apply (zenon_L379_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.95/8.11 apply (zenon_L330_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.95/8.11 apply (zenon_L146_); trivial.
% 7.95/8.11 apply (zenon_L384_); trivial.
% 7.95/8.11 apply (zenon_L109_); trivial.
% 7.95/8.11 apply (zenon_L153_); trivial.
% 7.95/8.11 (* end of lemma zenon_L385_ *)
% 7.95/8.11 assert (zenon_L386_ : (~((op (op (e2) (e2)) (e2)) = (op (e0) (e2)))) -> ((op (e2) (e2)) = (e0)) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H1de zenon_H36.
% 7.95/8.11 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.95/8.11 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 7.95/8.11 congruence.
% 7.95/8.11 exact (zenon_H16a zenon_H36).
% 7.95/8.11 apply zenon_H22. apply refl_equal.
% 7.95/8.11 (* end of lemma zenon_L386_ *)
% 7.95/8.11 assert (zenon_L387_ : ((op (e0) (e2)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> (~((e3) = (op (op (e2) (e2)) (e2)))) -> False).
% 7.95/8.11 do 0 intro. intros zenon_Hb0 zenon_H36 zenon_H1b9.
% 7.95/8.11 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bb ].
% 7.95/8.11 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((e3) = (op (op (e2) (e2)) (e2)))).
% 7.95/8.11 intro zenon_D_pnotp.
% 7.95/8.11 apply zenon_H1b9.
% 7.95/8.11 rewrite <- zenon_D_pnotp.
% 7.95/8.11 exact zenon_H1ba.
% 7.95/8.11 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 7.95/8.11 cut (((op (op (e2) (e2)) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1bc].
% 7.95/8.11 congruence.
% 7.95/8.11 cut (((op (e0) (e2)) = (e3)) = ((op (op (e2) (e2)) (e2)) = (e3))).
% 7.95/8.11 intro zenon_D_pnotp.
% 7.95/8.11 apply zenon_H1bc.
% 7.95/8.11 rewrite <- zenon_D_pnotp.
% 7.95/8.11 exact zenon_Hb0.
% 7.95/8.11 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.95/8.11 cut (((op (e0) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1df].
% 7.95/8.11 congruence.
% 7.95/8.11 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bb ].
% 7.95/8.11 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((op (e0) (e2)) = (op (op (e2) (e2)) (e2)))).
% 7.95/8.11 intro zenon_D_pnotp.
% 7.95/8.11 apply zenon_H1df.
% 7.95/8.11 rewrite <- zenon_D_pnotp.
% 7.95/8.11 exact zenon_H1ba.
% 7.95/8.11 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 7.95/8.11 cut (((op (op (e2) (e2)) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1de].
% 7.95/8.11 congruence.
% 7.95/8.11 apply (zenon_L386_); trivial.
% 7.95/8.11 apply zenon_H1bb. apply refl_equal.
% 7.95/8.11 apply zenon_H1bb. apply refl_equal.
% 7.95/8.11 apply zenon_H69. apply refl_equal.
% 7.95/8.11 apply zenon_H1bb. apply refl_equal.
% 7.95/8.11 apply zenon_H1bb. apply refl_equal.
% 7.95/8.11 (* end of lemma zenon_L387_ *)
% 7.95/8.11 assert (zenon_L388_ : ((op (e0) (e0)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> False).
% 7.95/8.11 do 0 intro. intros zenon_Hb9 zenon_Hb0 zenon_H36.
% 7.95/8.11 apply (zenon_notand_s _ _ ax14); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1e0 ].
% 7.95/8.11 elim (classic ((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2))))); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c2 ].
% 7.95/8.11 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2)))) = ((e1) = (op (op (e2) (e2)) (op (e2) (e2))))).
% 7.95/8.11 intro zenon_D_pnotp.
% 7.95/8.11 apply zenon_H1e1.
% 7.95/8.11 rewrite <- zenon_D_pnotp.
% 7.95/8.11 exact zenon_H1c1.
% 7.95/8.11 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 7.95/8.11 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1e2].
% 7.95/8.11 congruence.
% 7.95/8.11 cut (((op (e0) (e0)) = (e1)) = ((op (op (e2) (e2)) (op (e2) (e2))) = (e1))).
% 7.95/8.11 intro zenon_D_pnotp.
% 7.95/8.11 apply zenon_H1e2.
% 7.95/8.11 rewrite <- zenon_D_pnotp.
% 7.95/8.11 exact zenon_Hb9.
% 7.95/8.11 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.95/8.11 cut (((op (e0) (e0)) = (op (op (e2) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1e3].
% 7.95/8.11 congruence.
% 7.95/8.11 elim (classic ((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2))))); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c2 ].
% 7.95/8.11 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2)))) = ((op (e0) (e0)) = (op (op (e2) (e2)) (op (e2) (e2))))).
% 7.95/8.11 intro zenon_D_pnotp.
% 7.95/8.11 apply zenon_H1e3.
% 7.95/8.11 rewrite <- zenon_D_pnotp.
% 7.95/8.11 exact zenon_H1c1.
% 7.95/8.11 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 7.95/8.11 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1e4].
% 7.95/8.11 congruence.
% 7.95/8.11 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 7.95/8.11 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 7.95/8.11 congruence.
% 7.95/8.11 exact (zenon_H16a zenon_H36).
% 7.95/8.11 exact (zenon_H16a zenon_H36).
% 7.95/8.11 apply zenon_H1c2. apply refl_equal.
% 7.95/8.11 apply zenon_H1c2. apply refl_equal.
% 7.95/8.11 apply zenon_H57. apply refl_equal.
% 7.95/8.11 apply zenon_H1c2. apply refl_equal.
% 7.95/8.11 apply zenon_H1c2. apply refl_equal.
% 7.95/8.11 apply (zenon_notand_s _ _ zenon_H1e0); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1b9 ].
% 7.95/8.11 apply zenon_H1c6. apply sym_equal. exact zenon_H36.
% 7.95/8.11 apply (zenon_L387_); trivial.
% 7.95/8.11 (* end of lemma zenon_L388_ *)
% 7.95/8.11 assert (zenon_L389_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H1d0 zenon_Hb9 zenon_H6d zenon_Hef zenon_H36 zenon_H67 zenon_Hfc zenon_H1cd.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d1 ].
% 7.95/8.11 apply (zenon_L388_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H115 | zenon_intro zenon_H1d2 ].
% 7.95/8.11 apply (zenon_L205_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15c | zenon_intro zenon_Hf7 ].
% 7.95/8.11 apply (zenon_L215_); trivial.
% 7.95/8.11 apply (zenon_L335_); trivial.
% 7.95/8.11 (* end of lemma zenon_L389_ *)
% 7.95/8.11 assert (zenon_L390_ : (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H38 zenon_Hd2 zenon_H13e.
% 7.95/8.11 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e2) (e2)))).
% 7.95/8.11 intro zenon_D_pnotp.
% 7.95/8.11 apply zenon_H38.
% 7.95/8.11 rewrite <- zenon_D_pnotp.
% 7.95/8.11 exact zenon_Hd2.
% 7.95/8.11 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H147].
% 7.95/8.11 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 7.95/8.11 congruence.
% 7.95/8.11 apply zenon_H46. apply refl_equal.
% 7.95/8.11 apply zenon_H147. apply sym_equal. exact zenon_H13e.
% 7.95/8.11 (* end of lemma zenon_L390_ *)
% 7.95/8.11 assert (zenon_L391_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H1c7 zenon_H44 zenon_H5a zenon_Hd2 zenon_H38 zenon_H18e zenon_H9c zenon_Hb0 zenon_H10b.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H36 | zenon_intro zenon_H1c8 ].
% 7.95/8.11 apply (zenon_L16_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H13e | zenon_intro zenon_H1c9 ].
% 7.95/8.11 apply (zenon_L390_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H9f | zenon_intro zenon_H15c ].
% 7.95/8.11 apply (zenon_L299_); trivial.
% 7.95/8.11 apply (zenon_L274_); trivial.
% 7.95/8.11 (* end of lemma zenon_L391_ *)
% 7.95/8.11 assert (zenon_L392_ : (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e0)) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H67 zenon_Hf7 zenon_H44.
% 7.95/8.11 cut (((op (e3) (e2)) = (e3)) = ((e0) = (e3))).
% 7.95/8.11 intro zenon_D_pnotp.
% 7.95/8.11 apply zenon_H67.
% 7.95/8.11 rewrite <- zenon_D_pnotp.
% 7.95/8.11 exact zenon_Hf7.
% 7.95/8.11 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.95/8.11 cut (((op (e3) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1e5].
% 7.95/8.11 congruence.
% 7.95/8.11 exact (zenon_H1e5 zenon_H44).
% 7.95/8.11 apply zenon_H69. apply refl_equal.
% 7.95/8.11 (* end of lemma zenon_L392_ *)
% 7.95/8.11 assert (zenon_L393_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e3)) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e0)) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H1d0 zenon_H10b zenon_H9c zenon_H18e zenon_H38 zenon_Hd2 zenon_H5a zenon_H1c7 zenon_H6d zenon_Hef zenon_H10e zenon_H8e zenon_H67 zenon_H44.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d1 ].
% 7.95/8.11 apply (zenon_L391_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H115 | zenon_intro zenon_H1d2 ].
% 7.95/8.11 apply (zenon_L205_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15c | zenon_intro zenon_Hf7 ].
% 7.95/8.11 apply (zenon_L200_); trivial.
% 7.95/8.11 apply (zenon_L392_); trivial.
% 7.95/8.11 (* end of lemma zenon_L393_ *)
% 7.95/8.11 assert (zenon_L394_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (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 (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H11b zenon_H12b zenon_H95 zenon_H8f zenon_H89 zenon_H128 zenon_H55 zenon_H1cd zenon_Hfc zenon_Hb9 zenon_Ha7 zenon_H6c zenon_H67 zenon_H8e zenon_H10e zenon_Hef zenon_H6d zenon_H1c7 zenon_H5a zenon_Hd2 zenon_H38 zenon_H18e zenon_H1d0 zenon_H10b zenon_H82 zenon_H13a.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H111 | zenon_intro zenon_H11c ].
% 7.95/8.11 apply (zenon_L337_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H37 | zenon_intro zenon_H11d ].
% 7.95/8.11 apply (zenon_L165_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H36 | zenon_intro zenon_H44 ].
% 7.95/8.11 apply (zenon_L389_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H98 | zenon_intro zenon_Ha8 ].
% 7.95/8.11 apply (zenon_L136_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9c | zenon_intro zenon_Ha9 ].
% 7.95/8.11 apply (zenon_L393_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha1 ].
% 7.95/8.11 apply (zenon_L115_); trivial.
% 7.95/8.11 exact (zenon_H13a zenon_Ha1).
% 7.95/8.11 (* end of lemma zenon_L394_ *)
% 7.95/8.11 assert (zenon_L395_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e3)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e3)) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H117 zenon_H44 zenon_H43 zenon_H13a zenon_H10b zenon_H1d0 zenon_H18e zenon_H38 zenon_H5a zenon_H1c7 zenon_H10e zenon_H8e zenon_H67 zenon_H6c zenon_Ha7 zenon_Hb9 zenon_Hfc zenon_H1cd zenon_H55 zenon_H128 zenon_H89 zenon_H8f zenon_H95 zenon_H12b zenon_H11b zenon_H82 zenon_H81 zenon_Hef zenon_H6d.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H37 | zenon_intro zenon_H119 ].
% 7.95/8.11 apply (zenon_L11_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H11a ].
% 7.95/8.11 apply (zenon_L394_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H83 | zenon_intro zenon_H115 ].
% 7.95/8.11 apply (zenon_L35_); trivial.
% 7.95/8.11 apply (zenon_L205_); trivial.
% 7.95/8.11 (* end of lemma zenon_L395_ *)
% 7.95/8.11 assert (zenon_L396_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((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 (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (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) (e3)) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e3)) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H1e6 zenon_H29 zenon_H28 zenon_H6d zenon_Hef zenon_H81 zenon_H82 zenon_H11b zenon_H12b zenon_H95 zenon_H8f zenon_H89 zenon_H128 zenon_H55 zenon_H1cd zenon_Hfc zenon_Ha7 zenon_H6c zenon_H67 zenon_H10e zenon_H1c7 zenon_H5a zenon_H38 zenon_H18e zenon_H1d0 zenon_H10b zenon_H13a zenon_H43 zenon_H44 zenon_H117 zenon_H93 zenon_H3d zenon_H30 zenon_H8e.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e | zenon_intro zenon_H1e7 ].
% 7.95/8.11 apply (zenon_L4_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1e8 ].
% 7.95/8.11 apply (zenon_L395_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1f | zenon_intro zenon_H86 ].
% 7.95/8.11 apply (zenon_L289_); trivial.
% 7.95/8.11 apply (zenon_L214_); trivial.
% 7.95/8.11 (* end of lemma zenon_L396_ *)
% 7.95/8.11 assert (zenon_L397_ : (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((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 (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (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) (e3)) = (e2))) -> (~((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)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e3)) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H113 zenon_Hb9 zenon_H1e6 zenon_H29 zenon_H28 zenon_H6d zenon_Hef zenon_H81 zenon_H82 zenon_H11b zenon_H12b zenon_H95 zenon_H8f zenon_H89 zenon_H128 zenon_H55 zenon_H1cd zenon_Hfc zenon_Ha7 zenon_H6c zenon_H67 zenon_H10e zenon_H1c7 zenon_H5a zenon_H38 zenon_H18e zenon_H1d0 zenon_H10b zenon_H13a zenon_H43 zenon_H117 zenon_H93 zenon_H3d zenon_H30 zenon_H8e.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H111 | zenon_intro zenon_H11c ].
% 7.95/8.11 apply (zenon_L337_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H37 | zenon_intro zenon_H11d ].
% 7.95/8.11 apply (zenon_L119_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H36 | zenon_intro zenon_H44 ].
% 7.95/8.11 apply (zenon_L389_); trivial.
% 7.95/8.11 apply (zenon_L396_); trivial.
% 7.95/8.11 (* end of lemma zenon_L397_ *)
% 7.95/8.11 assert (zenon_L398_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e3)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (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 (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H13b zenon_H66 zenon_Ha2 zenon_H130 zenon_Hf4 zenon_H99 zenon_Ha7 zenon_H6c zenon_H8e zenon_H134 zenon_H10b zenon_H82 zenon_H13a.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.95/8.11 apply (zenon_L338_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.95/8.11 apply (zenon_L142_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.95/8.11 apply (zenon_L97_); trivial.
% 7.95/8.11 apply (zenon_L153_); trivial.
% 7.95/8.11 (* end of lemma zenon_L398_ *)
% 7.95/8.11 assert (zenon_L399_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H162 zenon_H67 zenon_Hde zenon_H8f zenon_H1ca zenon_H55 zenon_H113 zenon_Hbb zenon_H2d zenon_Ha7 zenon_H18e zenon_H10e zenon_H5a zenon_H111 zenon_H1c7 zenon_H6c zenon_H10b zenon_H82 zenon_H13a zenon_Hef zenon_H26 zenon_Haa zenon_Hfc zenon_H5e.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.95/8.11 apply (zenon_L66_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.95/8.11 apply (zenon_L164_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.95/8.11 apply (zenon_L338_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.95/8.11 apply (zenon_L205_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.95/8.11 apply (zenon_L342_); trivial.
% 7.95/8.11 apply (zenon_L91_); trivial.
% 7.95/8.11 apply (zenon_L109_); trivial.
% 7.95/8.11 (* end of lemma zenon_L399_ *)
% 7.95/8.11 assert (zenon_L400_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((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))))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H162 zenon_H28 zenon_H67 zenon_H12d zenon_H1ca zenon_H55 zenon_H113 zenon_Hbb zenon_H2d zenon_Ha7 zenon_H18e zenon_H10e zenon_H5a zenon_H10b zenon_H111 zenon_H1c7 zenon_H6c zenon_H38 zenon_H83 zenon_H13a zenon_Hef zenon_H16e zenon_H86 zenon_Haa zenon_Hfc zenon_H5e.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.95/8.11 apply (zenon_L213_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.95/8.11 apply (zenon_L164_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.95/8.11 apply (zenon_L217_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.95/8.11 apply (zenon_L205_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.95/8.11 apply (zenon_L340_); trivial.
% 7.95/8.11 apply (zenon_L139_); trivial.
% 7.95/8.11 apply (zenon_L109_); trivial.
% 7.95/8.11 (* end of lemma zenon_L400_ *)
% 7.95/8.11 assert (zenon_L401_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e2)) -> False).
% 7.95/8.11 do 0 intro. intros zenon_Haa zenon_H86 zenon_H16e zenon_H115 zenon_Hef zenon_H33 zenon_H40 zenon_Hf4 zenon_H2c zenon_H2d zenon_H170 zenon_H6c zenon_Hdc.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.95/8.11 apply (zenon_L217_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.95/8.11 apply (zenon_L205_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.95/8.11 apply (zenon_L227_); trivial.
% 7.95/8.11 apply (zenon_L73_); trivial.
% 7.95/8.11 (* end of lemma zenon_L401_ *)
% 7.95/8.11 assert (zenon_L402_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H162 zenon_H8f zenon_Hbb zenon_H67 zenon_Hdc zenon_H6c zenon_H170 zenon_H2d zenon_H2c zenon_Hf4 zenon_H40 zenon_H33 zenon_Hef zenon_H16e zenon_H86 zenon_Haa zenon_Hfc zenon_H5e.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.95/8.11 apply (zenon_L66_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.95/8.11 apply (zenon_L164_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.95/8.11 apply (zenon_L401_); trivial.
% 7.95/8.11 apply (zenon_L109_); trivial.
% 7.95/8.11 (* end of lemma zenon_L402_ *)
% 7.95/8.11 assert (zenon_L403_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (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)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H13b zenon_H49 zenon_H64 zenon_Hbd zenon_He3 zenon_H150 zenon_Hf8 zenon_H111 zenon_H173 zenon_H197 zenon_H20 zenon_H18e zenon_H5a zenon_H1d0 zenon_H10b zenon_H1c7 zenon_H4e zenon_H12d zenon_H28 zenon_Ha2 zenon_H130 zenon_H99 zenon_H162 zenon_H8f zenon_Hbb zenon_H67 zenon_H6c zenon_H170 zenon_H2d zenon_H2c zenon_Hf4 zenon_H40 zenon_H33 zenon_Hef zenon_H16e zenon_H86 zenon_Haa zenon_Hfc zenon_H5e.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.95/8.11 apply (zenon_L361_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.95/8.11 apply (zenon_L142_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.95/8.11 apply (zenon_L97_); trivial.
% 7.95/8.11 apply (zenon_L402_); trivial.
% 7.95/8.11 (* end of lemma zenon_L403_ *)
% 7.95/8.11 assert (zenon_L404_ : (((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)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.11 do 0 intro. intros zenon_Hff zenon_H48 zenon_H64 zenon_Hf1 zenon_He3 zenon_H195 zenon_Hfc zenon_H5e.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H5d | zenon_intro zenon_H100 ].
% 7.95/8.11 apply (zenon_L21_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H101 ].
% 7.95/8.11 apply (zenon_L93_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hfd ].
% 7.95/8.11 apply (zenon_L358_); trivial.
% 7.95/8.11 apply (zenon_L109_); trivial.
% 7.95/8.11 (* end of lemma zenon_L404_ *)
% 7.95/8.11 assert (zenon_L405_ : (((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)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (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) (e1)) = (e0)) -> (~((e1) = (e3))) -> (~((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 (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)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H197 zenon_H20 zenon_H3e zenon_H33 zenon_H40 zenon_Hde zenon_H2c zenon_H170 zenon_H18e zenon_H70 zenon_H5a zenon_H1d0 zenon_H67 zenon_H111 zenon_H2d zenon_H8f zenon_H6c zenon_H10b zenon_H1c7 zenon_Hff zenon_H48 zenon_H64 zenon_Hf1 zenon_He3 zenon_Hfc zenon_H5e.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H93 | zenon_intro zenon_H198 ].
% 7.95/8.11 apply (zenon_L77_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hdc | zenon_intro zenon_H199 ].
% 7.95/8.11 apply (zenon_L239_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H148 | zenon_intro zenon_H195 ].
% 7.95/8.11 apply (zenon_L357_); trivial.
% 7.95/8.11 apply (zenon_L404_); trivial.
% 7.95/8.11 (* end of lemma zenon_L405_ *)
% 7.95/8.11 assert (zenon_L406_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((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) (e0)) = (e0)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((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 (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e1) = (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) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e1)) -> (~((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 (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.11 do 0 intro. intros zenon_H184 zenon_H134 zenon_Hcc zenon_H19b zenon_H137 zenon_H93 zenon_H89 zenon_H99 zenon_H130 zenon_H173 zenon_H13b zenon_H11e zenon_H29 zenon_H13a zenon_H38 zenon_H10e zenon_Ha7 zenon_H113 zenon_H1ca zenon_H28 zenon_H8f zenon_H51 zenon_H142 zenon_H150 zenon_Haa zenon_H26 zenon_Hef zenon_H12b zenon_H12d zenon_Hbd zenon_Hbb zenon_H162 zenon_Hca zenon_H4e zenon_He3 zenon_Hf1 zenon_H64 zenon_Hff zenon_H1c7 zenon_H10b zenon_H6c zenon_H2d zenon_H67 zenon_H1d0 zenon_H5a zenon_H18e zenon_H170 zenon_H2c zenon_H40 zenon_H33 zenon_H20 zenon_H197 zenon_H55 zenon_H111 zenon_Hf8 zenon_H49 zenon_H16e zenon_H86 zenon_Hfc zenon_H5e.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H185 ].
% 7.95/8.11 apply (zenon_L332_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H186 ].
% 7.95/8.11 apply (zenon_L221_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hde ].
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.95/8.11 apply (zenon_L116_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.95/8.11 apply (zenon_L128_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.95/8.11 apply (zenon_L400_); trivial.
% 7.95/8.11 apply (zenon_L403_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.95/8.11 apply (zenon_L17_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.95/8.11 apply (zenon_L85_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.95/8.11 apply (zenon_L400_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.95/8.11 apply (zenon_L213_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.95/8.11 apply (zenon_L164_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.95/8.11 apply (zenon_L217_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.95/8.11 apply (zenon_L205_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.95/8.11 apply (zenon_L365_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.95/8.11 apply (zenon_L293_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 7.95/8.11 apply (zenon_L326_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.95/8.11 apply (zenon_L405_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.95/8.11 apply (zenon_L79_); trivial.
% 7.95/8.11 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.95/8.11 apply (zenon_L331_); trivial.
% 7.95/8.11 apply (zenon_L12_); trivial.
% 7.95/8.11 apply (zenon_L91_); trivial.
% 7.95/8.11 apply (zenon_L109_); trivial.
% 7.95/8.11 (* end of lemma zenon_L406_ *)
% 7.95/8.11 assert (zenon_L407_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((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) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H184 zenon_H134 zenon_Hcc zenon_Hca zenon_H19b zenon_H89 zenon_H33 zenon_H40 zenon_H2c zenon_H170 zenon_H99 zenon_H4e zenon_H1d0 zenon_H197 zenon_H173 zenon_Hf8 zenon_H150 zenon_He3 zenon_Hbd zenon_H64 zenon_H49 zenon_H81 zenon_Hff zenon_H154 zenon_H165 zenon_H11e zenon_H29 zenon_H20 zenon_H38 zenon_H13b zenon_H8f zenon_H130 zenon_H12d zenon_H162 zenon_H28 zenon_H67 zenon_H6c zenon_H1ca zenon_H55 zenon_H113 zenon_Hbb zenon_H2d zenon_Ha7 zenon_H18e zenon_H10e zenon_H5a zenon_H111 zenon_H1c7 zenon_H10b zenon_H82 zenon_H13a zenon_Hef zenon_H16e zenon_H86 zenon_Haa zenon_Hfc zenon_H5e.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H185 ].
% 7.95/8.12 apply (zenon_L347_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H186 ].
% 7.95/8.12 apply (zenon_L221_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hde ].
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.95/8.12 apply (zenon_L116_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.95/8.12 apply (zenon_L246_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.95/8.12 apply (zenon_L35_); trivial.
% 7.95/8.12 apply (zenon_L403_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.95/8.12 apply (zenon_L17_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.95/8.12 apply (zenon_L85_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.95/8.12 apply (zenon_L400_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.95/8.12 apply (zenon_L399_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.95/8.12 apply (zenon_L142_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.95/8.12 apply (zenon_L345_); trivial.
% 7.95/8.12 apply (zenon_L346_); trivial.
% 7.95/8.12 (* end of lemma zenon_L407_ *)
% 7.95/8.12 assert (zenon_L408_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((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 (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e2)) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H11e zenon_H99 zenon_H20 zenon_H5e zenon_Hfc zenon_Haa zenon_H86 zenon_H16e zenon_Hef zenon_H13a zenon_H38 zenon_H6c zenon_H1c7 zenon_H111 zenon_H10b zenon_H5a zenon_H10e zenon_H18e zenon_Ha7 zenon_H2d zenon_Hbb zenon_H113 zenon_H55 zenon_H1ca zenon_H12d zenon_H67 zenon_H28 zenon_H162 zenon_Hf1 zenon_Hbc.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.95/8.12 apply (zenon_L116_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.95/8.12 apply (zenon_L85_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.95/8.12 apply (zenon_L400_); trivial.
% 7.95/8.12 apply (zenon_L113_); trivial.
% 7.95/8.12 (* end of lemma zenon_L408_ *)
% 7.95/8.12 assert (zenon_L409_ : ((op (e2) (e2)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H15c zenon_H115 zenon_H38.
% 7.95/8.12 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 7.95/8.12 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e1) (e2)) = (op (e2) (e2)))).
% 7.95/8.12 intro zenon_D_pnotp.
% 7.95/8.12 apply zenon_H38.
% 7.95/8.12 rewrite <- zenon_D_pnotp.
% 7.95/8.12 exact zenon_H39.
% 7.95/8.12 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 7.95/8.12 cut (((op (e2) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3b].
% 7.95/8.12 congruence.
% 7.95/8.12 cut (((op (e2) (e2)) = (e3)) = ((op (e2) (e2)) = (op (e1) (e2)))).
% 7.95/8.12 intro zenon_D_pnotp.
% 7.95/8.12 apply zenon_H3b.
% 7.95/8.12 rewrite <- zenon_D_pnotp.
% 7.95/8.12 exact zenon_H15c.
% 7.95/8.12 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H116].
% 7.95/8.12 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 7.95/8.12 congruence.
% 7.95/8.12 apply zenon_H3a. apply refl_equal.
% 7.95/8.12 apply zenon_H116. apply sym_equal. exact zenon_H115.
% 7.95/8.12 apply zenon_H3a. apply refl_equal.
% 7.95/8.12 apply zenon_H3a. apply refl_equal.
% 7.95/8.12 (* end of lemma zenon_L409_ *)
% 7.95/8.12 assert (zenon_L410_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H162 zenon_H86 zenon_H28 zenon_H2d zenon_H67 zenon_H38 zenon_H15c zenon_Hfc zenon_H5e.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.95/8.12 apply (zenon_L213_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.95/8.12 apply (zenon_L164_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.95/8.12 apply (zenon_L409_); trivial.
% 7.95/8.12 apply (zenon_L109_); trivial.
% 7.95/8.12 (* end of lemma zenon_L410_ *)
% 7.95/8.12 assert (zenon_L411_ : ((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((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 (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 (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e1)) = (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 (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 (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (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 (e2) (e3)))) -> (((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))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H15e zenon_H67 zenon_H86 zenon_H15f zenon_H89 zenon_H49 zenon_Hbd zenon_H150 zenon_H1d0 zenon_H197 zenon_H12b zenon_H184 zenon_H165 zenon_H154 zenon_H24 zenon_Hec zenon_H173 zenon_Hf8 zenon_H137 zenon_Hcc zenon_H2c zenon_Hca zenon_H33 zenon_H134 zenon_H19b zenon_H40 zenon_H4e zenon_Hbb zenon_H2d zenon_Haa zenon_Hfc zenon_H12d zenon_H55 zenon_H111 zenon_H113 zenon_H1c7 zenon_H18e zenon_H10e zenon_H5a zenon_H10b zenon_H1ca zenon_Hef zenon_H16e zenon_H5e zenon_H162 zenon_H20 zenon_H11e zenon_H6c zenon_Ha7 zenon_H130 zenon_H28 zenon_H13b zenon_H81 zenon_H99 zenon_H38 zenon_H51 zenon_H170 zenon_Hff zenon_Hf1 zenon_H64 zenon_H142 zenon_H124 zenon_H8f zenon_H18b.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H13a | zenon_intro zenon_H15c ].
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 7.95/8.12 apply (zenon_L36_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 7.95/8.12 apply (zenon_L333_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.95/8.12 exact (zenon_H24 zenon_H1f).
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.95/8.12 exact (zenon_H24 zenon_H1f).
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.95/8.12 apply (zenon_L17_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.95/8.12 apply (zenon_L328_); trivial.
% 7.95/8.12 apply (zenon_L332_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.95/8.12 apply (zenon_L347_); trivial.
% 7.95/8.12 apply (zenon_L350_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 7.95/8.12 apply (zenon_L322_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.95/8.12 exact (zenon_H24 zenon_H1f).
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.95/8.12 exact (zenon_H24 zenon_H1f).
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.95/8.12 apply (zenon_L116_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.95/8.12 apply (zenon_L328_); trivial.
% 7.95/8.12 apply (zenon_L406_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.95/8.12 apply (zenon_L407_); trivial.
% 7.95/8.12 apply (zenon_L408_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 7.95/8.12 apply (zenon_L369_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.95/8.12 exact (zenon_H24 zenon_H1f).
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.95/8.12 apply (zenon_L116_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.95/8.12 apply (zenon_L328_); trivial.
% 7.95/8.12 apply (zenon_L77_); trivial.
% 7.95/8.12 apply (zenon_L410_); trivial.
% 7.95/8.12 (* end of lemma zenon_L411_ *)
% 7.95/8.12 assert (zenon_L412_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e0)) -> (~((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 (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H162 zenon_Hbb zenon_H2c zenon_H66 zenon_He3 zenon_Hbd zenon_H2d zenon_H99 zenon_H9c zenon_H8e zenon_H8f zenon_H142 zenon_Hfc zenon_H5e.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.95/8.12 apply (zenon_L66_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.95/8.12 apply (zenon_L104_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 7.95/8.12 apply (zenon_L38_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 7.95/8.12 apply (zenon_L97_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 7.95/8.12 apply (zenon_L325_); trivial.
% 7.95/8.12 apply (zenon_L186_); trivial.
% 7.95/8.12 apply (zenon_L109_); trivial.
% 7.95/8.12 (* end of lemma zenon_L412_ *)
% 7.95/8.12 assert (zenon_L413_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e0)) -> (((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 (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False).
% 7.95/8.12 do 0 intro. intros zenon_Hec zenon_H24 zenon_H99 zenon_H128 zenon_H12b zenon_H6c zenon_Hbb zenon_H8f zenon_H162 zenon_H67 zenon_H12d zenon_H1ca zenon_H55 zenon_H113 zenon_H2d zenon_H1c7 zenon_H111 zenon_H10b zenon_H5a zenon_H10e zenon_H18e zenon_Hef zenon_H16e zenon_Haa zenon_Hfc zenon_H5e zenon_H95 zenon_H3e zenon_H20.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.95/8.12 exact (zenon_H24 zenon_H1f).
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.95/8.12 apply (zenon_L116_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.95/8.12 apply (zenon_L329_); trivial.
% 7.95/8.12 apply (zenon_L77_); trivial.
% 7.95/8.12 (* end of lemma zenon_L413_ *)
% 7.95/8.12 assert (zenon_L414_ : ((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (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 (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((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))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((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 (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 (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e3) (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 (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (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)) = (e3)) -> (~((e0) = (e3))) -> ((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3))) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H193 zenon_H18b zenon_H8f zenon_H124 zenon_H142 zenon_H64 zenon_Hf1 zenon_Hff zenon_H170 zenon_H51 zenon_H38 zenon_H99 zenon_H81 zenon_H13b zenon_H28 zenon_H130 zenon_Ha7 zenon_H6c zenon_H11e zenon_H20 zenon_H162 zenon_H5e zenon_H16e zenon_Hef zenon_H1ca zenon_H10b zenon_H5a zenon_H10e zenon_H18e zenon_H1c7 zenon_H113 zenon_H111 zenon_H55 zenon_H12d zenon_Hfc zenon_Haa zenon_H2d zenon_Hbb zenon_H4e zenon_H40 zenon_H19b zenon_H134 zenon_H33 zenon_Hca zenon_H2c zenon_Hcc zenon_H137 zenon_Hf8 zenon_H173 zenon_Hec zenon_H24 zenon_H154 zenon_H184 zenon_H12b zenon_H197 zenon_H1d0 zenon_H150 zenon_Hbd zenon_H49 zenon_H89 zenon_H15f zenon_H86 zenon_H67 zenon_H15e.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H165 | zenon_intro zenon_H6d ].
% 7.95/8.12 apply (zenon_L411_); trivial.
% 7.95/8.12 apply (zenon_L164_); trivial.
% 7.95/8.12 (* end of lemma zenon_L414_ *)
% 7.95/8.12 assert (zenon_L415_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H137 zenon_H12d zenon_H47 zenon_Hc6 zenon_H173 zenon_H26 zenon_H40 zenon_H1e9.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H41 | zenon_intro zenon_H138 ].
% 7.95/8.12 apply (zenon_L292_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hde | zenon_intro zenon_H139 ].
% 7.95/8.12 apply (zenon_L306_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hdc | zenon_intro zenon_H7f ].
% 7.95/8.12 apply (zenon_L225_); trivial.
% 7.95/8.12 exact (zenon_H1e9 zenon_H7f).
% 7.95/8.12 (* end of lemma zenon_L415_ *)
% 7.95/8.12 assert (zenon_L416_ : (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e0)) = (e1)) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H3d zenon_Hb9 zenon_Hb2.
% 7.95/8.12 cut (((op (e0) (e0)) = (e1)) = ((op (e0) (e0)) = (op (e3) (e0)))).
% 7.95/8.12 intro zenon_D_pnotp.
% 7.95/8.12 apply zenon_H3d.
% 7.95/8.12 rewrite <- zenon_D_pnotp.
% 7.95/8.12 exact zenon_Hb9.
% 7.95/8.12 cut (((e1) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1ea].
% 7.95/8.12 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 7.95/8.12 congruence.
% 7.95/8.12 apply zenon_H2b. apply refl_equal.
% 7.95/8.12 apply zenon_H1ea. apply sym_equal. exact zenon_Hb2.
% 7.95/8.12 (* end of lemma zenon_L416_ *)
% 7.95/8.12 assert (zenon_L417_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e0)) -> False).
% 7.95/8.12 do 0 intro. intros zenon_He7 zenon_Hb9 zenon_H3d zenon_Hc6 zenon_H173 zenon_H13e zenon_H5a zenon_H55 zenon_H47.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hb2 | zenon_intro zenon_He8 ].
% 7.95/8.12 apply (zenon_L416_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ].
% 7.95/8.12 apply (zenon_L306_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_He0 | zenon_intro zenon_He2 ].
% 7.95/8.12 apply (zenon_L190_); trivial.
% 7.95/8.12 apply (zenon_L308_); trivial.
% 7.95/8.12 (* end of lemma zenon_L417_ *)
% 7.95/8.12 assert (zenon_L418_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H81 zenon_H111 zenon_H37.
% 7.95/8.12 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e1) (e2)))).
% 7.95/8.12 intro zenon_D_pnotp.
% 7.95/8.12 apply zenon_H81.
% 7.95/8.12 rewrite <- zenon_D_pnotp.
% 7.95/8.12 exact zenon_H111.
% 7.95/8.12 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 7.95/8.12 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 7.95/8.12 congruence.
% 7.95/8.12 apply zenon_H85. apply refl_equal.
% 7.95/8.12 apply zenon_H3c. apply sym_equal. exact zenon_H37.
% 7.95/8.12 (* end of lemma zenon_L418_ *)
% 7.95/8.12 assert (zenon_L419_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H61 zenon_H20 zenon_H5b zenon_H66 zenon_H33 zenon_H1eb zenon_Hca zenon_Hc6 zenon_H19b zenon_H111 zenon_H81 zenon_H47 zenon_H5e.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.95/8.12 apply (zenon_L17_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H34 | zenon_intro zenon_H19c ].
% 7.95/8.12 apply (zenon_L293_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H19d ].
% 7.95/8.12 apply (zenon_L228_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H9c | zenon_intro zenon_H70 ].
% 7.95/8.12 exact (zenon_H1eb zenon_H9c).
% 7.95/8.12 apply (zenon_L226_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.95/8.12 apply (zenon_L418_); trivial.
% 7.95/8.12 apply (zenon_L18_); trivial.
% 7.95/8.12 (* end of lemma zenon_L419_ *)
% 7.95/8.12 assert (zenon_L420_ : (((op (e1) (e1)) = (e1))/\(((~((op (e0) (e1)) = (e0)))\/((op (e0) (e0)) = (e1)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e1)) = (e2)))\/((op (e2) (e2)) = (e1)))/\((~((op (e3) (e1)) = (e3)))\/((op (e3) (e3)) = (e1))))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H106 zenon_Hef zenon_Hd2.
% 7.95/8.12 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hc6. zenon_intro zenon_H107.
% 7.95/8.12 apply (zenon_L90_); trivial.
% 7.95/8.12 (* end of lemma zenon_L420_ *)
% 7.95/8.12 assert (zenon_L421_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e1)) = (e3))) -> (~((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))))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e1))/\(((~((op (e0) (e1)) = (e0)))\/((op (e0) (e0)) = (e1)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e1)) = (e2)))\/((op (e2) (e2)) = (e1)))/\((~((op (e3) (e1)) = (e3)))\/((op (e3) (e3)) = (e1))))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (op (e2) (e2)))) -> ((op (e3) (e3)) = (e0)) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H124 zenon_H24 zenon_H1e9 zenon_H40 zenon_H12d zenon_H137 zenon_Hc3 zenon_H8f zenon_Hf1 zenon_H1ca zenon_Hef zenon_H106 zenon_H55 zenon_H173 zenon_Hc6 zenon_H3d zenon_Hb9 zenon_He7 zenon_H1c7 zenon_H10b zenon_H5a zenon_H38 zenon_H47 zenon_H99 zenon_H61 zenon_H20 zenon_H33 zenon_H1eb zenon_Hca zenon_H19b zenon_H81 zenon_H5e zenon_H11e zenon_H67 zenon_H111 zenon_H6c.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.95/8.12 exact (zenon_H24 zenon_H1f).
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.95/8.12 apply (zenon_L415_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1cb ].
% 7.95/8.12 apply (zenon_L65_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1cc ].
% 7.95/8.12 apply (zenon_L90_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H13e | zenon_intro zenon_He0 ].
% 7.95/8.12 apply (zenon_L417_); trivial.
% 7.95/8.12 apply (zenon_L384_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.95/8.12 apply (zenon_L333_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.95/8.12 apply (zenon_L419_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.95/8.12 apply (zenon_L67_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1cb ].
% 7.95/8.12 apply (zenon_L322_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1cc ].
% 7.95/8.12 apply (zenon_L420_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H13e | zenon_intro zenon_He0 ].
% 7.95/8.12 apply (zenon_L417_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H36 | zenon_intro zenon_H1c8 ].
% 7.95/8.12 apply (zenon_L326_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H13e | zenon_intro zenon_H1c9 ].
% 7.95/8.12 apply (zenon_L190_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H9f | zenon_intro zenon_H15c ].
% 7.95/8.12 apply (zenon_L107_); trivial.
% 7.95/8.12 apply (zenon_L383_); trivial.
% 7.95/8.12 apply (zenon_L113_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.95/8.12 apply (zenon_L118_); trivial.
% 7.95/8.12 apply (zenon_L57_); trivial.
% 7.95/8.12 (* end of lemma zenon_L421_ *)
% 7.95/8.12 assert (zenon_L422_ : (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H30 zenon_Hb9 zenon_H54.
% 7.95/8.12 cut (((op (e0) (e0)) = (e1)) = ((op (e0) (e0)) = (op (e2) (e0)))).
% 7.95/8.12 intro zenon_D_pnotp.
% 7.95/8.12 apply zenon_H30.
% 7.95/8.12 rewrite <- zenon_D_pnotp.
% 7.95/8.12 exact zenon_Hb9.
% 7.95/8.12 cut (((e1) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H183].
% 7.95/8.12 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 7.95/8.12 congruence.
% 7.95/8.12 apply zenon_H2b. apply refl_equal.
% 7.95/8.12 apply zenon_H183. apply sym_equal. exact zenon_H54.
% 7.95/8.12 (* end of lemma zenon_L422_ *)
% 7.95/8.12 assert (zenon_L423_ : ((op (e3) (e2)) = (e3)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 7.95/8.12 do 0 intro. intros zenon_Hf7 zenon_H92 zenon_H1ec.
% 7.95/8.12 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfa ].
% 7.95/8.12 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (e0)) = (op (e3) (e2)))).
% 7.95/8.12 intro zenon_D_pnotp.
% 7.95/8.12 apply zenon_H1ec.
% 7.95/8.12 rewrite <- zenon_D_pnotp.
% 7.95/8.12 exact zenon_Hf9.
% 7.95/8.12 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hfa].
% 7.95/8.12 cut (((op (e3) (e2)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1ed].
% 7.95/8.12 congruence.
% 7.95/8.12 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e3) (e0)))).
% 7.95/8.12 intro zenon_D_pnotp.
% 7.95/8.12 apply zenon_H1ed.
% 7.95/8.12 rewrite <- zenon_D_pnotp.
% 7.95/8.12 exact zenon_Hf7.
% 7.95/8.12 cut (((e3) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H12a].
% 7.95/8.12 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hfa].
% 7.95/8.12 congruence.
% 7.95/8.12 apply zenon_Hfa. apply refl_equal.
% 7.95/8.12 apply zenon_H12a. apply sym_equal. exact zenon_H92.
% 7.95/8.12 apply zenon_Hfa. apply refl_equal.
% 7.95/8.12 apply zenon_Hfa. apply refl_equal.
% 7.95/8.12 (* end of lemma zenon_L423_ *)
% 7.95/8.12 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 (e2) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H1d0 zenon_H67 zenon_H111 zenon_H2d zenon_H13e zenon_H8f zenon_H92 zenon_H1ec.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d1 ].
% 7.95/8.12 apply (zenon_L118_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H115 | zenon_intro zenon_H1d2 ].
% 7.95/8.12 apply (zenon_L325_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15c | zenon_intro zenon_Hf7 ].
% 7.95/8.12 apply (zenon_L354_); trivial.
% 7.95/8.12 apply (zenon_L423_); trivial.
% 7.95/8.12 (* end of lemma zenon_L424_ *)
% 7.95/8.12 assert (zenon_L425_ : (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (e3)) = (e1)) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H99 zenon_Ha1 zenon_H140.
% 7.95/8.12 cut (((op (e2) (e3)) = (e2)) = ((e1) = (e2))).
% 7.95/8.12 intro zenon_D_pnotp.
% 7.95/8.12 apply zenon_H99.
% 7.95/8.12 rewrite <- zenon_D_pnotp.
% 7.95/8.12 exact zenon_Ha1.
% 7.95/8.12 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.95/8.12 cut (((op (e2) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1ee].
% 7.95/8.12 congruence.
% 7.95/8.12 exact (zenon_H1ee zenon_H140).
% 7.95/8.12 apply zenon_H22. apply refl_equal.
% 7.95/8.12 (* end of lemma zenon_L425_ *)
% 7.95/8.12 assert (zenon_L426_ : (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e0)) = (e3)) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H3d zenon_H86 zenon_H92.
% 7.95/8.12 cut (((op (e0) (e0)) = (e3)) = ((op (e0) (e0)) = (op (e3) (e0)))).
% 7.95/8.12 intro zenon_D_pnotp.
% 7.95/8.12 apply zenon_H3d.
% 7.95/8.12 rewrite <- zenon_D_pnotp.
% 7.95/8.12 exact zenon_H86.
% 7.95/8.12 cut (((e3) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H12a].
% 7.95/8.12 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 7.95/8.12 congruence.
% 7.95/8.12 apply zenon_H2b. apply refl_equal.
% 7.95/8.12 apply zenon_H12a. apply sym_equal. exact zenon_H92.
% 7.95/8.12 (* end of lemma zenon_L426_ *)
% 7.95/8.12 assert (zenon_L427_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e2)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 7.95/8.12 do 0 intro. intros zenon_Hc3 zenon_H92 zenon_H3d zenon_H5e zenon_H47 zenon_H81 zenon_H19b zenon_Hc6 zenon_Hca zenon_H1eb zenon_H33 zenon_H5b zenon_H20 zenon_H61 zenon_H67 zenon_H111 zenon_Hbc zenon_H6c.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.95/8.12 apply (zenon_L426_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.95/8.12 apply (zenon_L419_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.95/8.12 apply (zenon_L118_); trivial.
% 7.95/8.12 apply (zenon_L57_); trivial.
% 7.95/8.12 (* end of lemma zenon_L427_ *)
% 7.95/8.12 assert (zenon_L428_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (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) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((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))))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (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) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H124 zenon_H1e9 zenon_H40 zenon_H173 zenon_H12d zenon_H137 zenon_H99 zenon_H10b zenon_Ha7 zenon_H1d0 zenon_H8f zenon_H1ec zenon_H30 zenon_Hb9 zenon_H142 zenon_Hec zenon_H24 zenon_H111 zenon_H67 zenon_H61 zenon_H33 zenon_H1eb zenon_Hca zenon_Hc6 zenon_H19b zenon_H81 zenon_H47 zenon_H5e zenon_H3d zenon_Hc3 zenon_H31 zenon_H20 zenon_H6c zenon_H92.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.95/8.12 exact (zenon_H24 zenon_H1f).
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.95/8.12 apply (zenon_L415_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.95/8.12 exact (zenon_H24 zenon_H1f).
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.95/8.12 apply (zenon_L17_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 7.95/8.12 apply (zenon_L422_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 7.95/8.12 apply (zenon_L228_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 7.95/8.12 apply (zenon_L424_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H98 | zenon_intro zenon_Ha8 ].
% 7.95/8.12 apply (zenon_L260_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9c | zenon_intro zenon_Ha9 ].
% 7.95/8.12 exact (zenon_H1eb zenon_H9c).
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha1 ].
% 7.95/8.12 apply (zenon_L115_); trivial.
% 7.95/8.12 apply (zenon_L425_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.95/8.12 apply (zenon_L418_); trivial.
% 7.95/8.12 apply (zenon_L18_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.95/8.12 apply (zenon_L260_); trivial.
% 7.95/8.12 apply (zenon_L39_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.95/8.12 exact (zenon_H24 zenon_H1f).
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.95/8.12 apply (zenon_L427_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.95/8.12 apply (zenon_L260_); trivial.
% 7.95/8.12 apply (zenon_L39_); trivial.
% 7.95/8.12 (* end of lemma zenon_L428_ *)
% 7.95/8.12 assert (zenon_L429_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H61 zenon_H20 zenon_H5b zenon_H1ec zenon_H92 zenon_H8f zenon_H13e zenon_H67 zenon_H1d0 zenon_H111 zenon_H81 zenon_H47 zenon_H5e.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.95/8.12 apply (zenon_L17_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.95/8.12 apply (zenon_L424_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.95/8.12 apply (zenon_L418_); trivial.
% 7.95/8.12 apply (zenon_L18_); trivial.
% 7.95/8.12 (* end of lemma zenon_L429_ *)
% 7.95/8.12 assert (zenon_L430_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> False).
% 7.95/8.12 do 0 intro. intros zenon_He4 zenon_H15a zenon_H47.
% 7.95/8.12 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e3) (e3)))).
% 7.95/8.12 intro zenon_D_pnotp.
% 7.95/8.12 apply zenon_He4.
% 7.95/8.12 rewrite <- zenon_D_pnotp.
% 7.95/8.12 exact zenon_H15a.
% 7.95/8.12 cut (((e0) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1ef].
% 7.95/8.12 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H105].
% 7.95/8.12 congruence.
% 7.95/8.12 apply zenon_H105. apply refl_equal.
% 7.95/8.12 apply zenon_H1ef. apply sym_equal. exact zenon_H47.
% 7.95/8.12 (* end of lemma zenon_L430_ *)
% 7.95/8.12 assert (zenon_L431_ : (((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 (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H4e zenon_H1e zenon_H3d zenon_H2d zenon_H173 zenon_H36 zenon_H5a zenon_He4 zenon_H15a.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.95/8.12 apply (zenon_L9_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.95/8.12 apply (zenon_L330_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.95/8.12 apply (zenon_L16_); trivial.
% 7.95/8.12 apply (zenon_L430_); trivial.
% 7.95/8.12 (* end of lemma zenon_L431_ *)
% 7.95/8.12 assert (zenon_L432_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> False).
% 7.95/8.12 do 0 intro. intros zenon_Hf1 zenon_H15a zenon_H5d.
% 7.95/8.12 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 7.95/8.12 intro zenon_D_pnotp.
% 7.95/8.12 apply zenon_Hf1.
% 7.95/8.12 rewrite <- zenon_D_pnotp.
% 7.95/8.12 exact zenon_H15a.
% 7.95/8.12 cut (((e0) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 7.95/8.12 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H105].
% 7.95/8.12 congruence.
% 7.95/8.12 apply zenon_H105. apply refl_equal.
% 7.95/8.12 apply zenon_H60. apply sym_equal. exact zenon_H5d.
% 7.95/8.12 (* end of lemma zenon_L432_ *)
% 7.95/8.12 assert (zenon_L433_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((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))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H61 zenon_H28 zenon_He4 zenon_H5a zenon_H173 zenon_H3d zenon_H1e zenon_H4e zenon_H38 zenon_H36 zenon_Hf1 zenon_H15a.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.95/8.12 apply (zenon_L4_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.95/8.12 apply (zenon_L431_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.95/8.12 apply (zenon_L8_); trivial.
% 7.95/8.12 apply (zenon_L432_); trivial.
% 7.95/8.12 (* end of lemma zenon_L433_ *)
% 7.95/8.12 assert (zenon_L434_ : (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0)))/\(((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0)))/\((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 7.95/8.12 do 0 intro. intros zenon_Had zenon_H61 zenon_H28 zenon_He4 zenon_H5a zenon_H173 zenon_H3d zenon_H4e zenon_H38 zenon_H36 zenon_Hf1 zenon_H15a.
% 7.95/8.12 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H1e. zenon_intro zenon_Hae.
% 7.95/8.12 apply (zenon_L433_); trivial.
% 7.95/8.12 (* end of lemma zenon_L434_ *)
% 7.95/8.12 assert (zenon_L435_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False).
% 7.95/8.12 do 0 intro. intros zenon_Hbd zenon_H15a zenon_H48.
% 7.95/8.12 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 7.95/8.12 intro zenon_D_pnotp.
% 7.95/8.12 apply zenon_Hbd.
% 7.95/8.12 rewrite <- zenon_D_pnotp.
% 7.95/8.12 exact zenon_H15a.
% 7.95/8.12 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4d].
% 7.95/8.12 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H105].
% 7.95/8.12 congruence.
% 7.95/8.12 apply zenon_H105. apply refl_equal.
% 7.95/8.12 apply zenon_H4d. apply sym_equal. exact zenon_H48.
% 7.95/8.12 (* end of lemma zenon_L435_ *)
% 7.95/8.12 assert (zenon_L436_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H51 zenon_H67 zenon_H8e zenon_H2d zenon_Hca zenon_H20 zenon_H9f zenon_Hbd zenon_H15a.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.95/8.12 apply (zenon_L123_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.95/8.12 apply (zenon_L293_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 7.95/8.12 apply (zenon_L44_); trivial.
% 7.95/8.12 apply (zenon_L435_); trivial.
% 7.95/8.12 (* end of lemma zenon_L436_ *)
% 7.95/8.12 assert (zenon_L437_ : (((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 (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H95 zenon_H87 zenon_H8f zenon_Hbb zenon_Hbd zenon_Hca zenon_H51 zenon_H11b zenon_H15a zenon_He4 zenon_H173 zenon_H2d zenon_H67 zenon_H4e zenon_H20 zenon_H117 zenon_H43 zenon_H118 zenon_H38 zenon_H9f zenon_H81 zenon_Hb0.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.12 exact (zenon_H87 zenon_H86).
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.12 apply (zenon_L66_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.12 apply (zenon_L436_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H111 | zenon_intro zenon_H11c ].
% 7.95/8.12 apply (zenon_L118_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H37 | zenon_intro zenon_H11d ].
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.95/8.12 apply (zenon_L313_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.95/8.12 apply (zenon_L330_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.95/8.12 apply (zenon_L11_); trivial.
% 7.95/8.12 apply (zenon_L430_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H36 | zenon_intro zenon_H44 ].
% 7.95/8.12 apply (zenon_L44_); trivial.
% 7.95/8.12 apply (zenon_L121_); trivial.
% 7.95/8.12 (* end of lemma zenon_L437_ *)
% 7.95/8.12 assert (zenon_L438_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H15a zenon_Hc1 zenon_H67.
% 7.95/8.12 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 7.95/8.12 cut (((e3) = (e3)) = ((e0) = (e3))).
% 7.95/8.12 intro zenon_D_pnotp.
% 7.95/8.12 apply zenon_H67.
% 7.95/8.12 rewrite <- zenon_D_pnotp.
% 7.95/8.12 exact zenon_H68.
% 7.95/8.12 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.95/8.12 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 7.95/8.12 congruence.
% 7.95/8.12 cut (((op (e0) (e3)) = (e0)) = ((e3) = (e0))).
% 7.95/8.12 intro zenon_D_pnotp.
% 7.95/8.12 apply zenon_H6a.
% 7.95/8.12 rewrite <- zenon_D_pnotp.
% 7.95/8.12 exact zenon_H15a.
% 7.95/8.12 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.95/8.12 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hc2].
% 7.95/8.12 congruence.
% 7.95/8.12 exact (zenon_Hc2 zenon_Hc1).
% 7.95/8.12 apply zenon_H1d. apply refl_equal.
% 7.95/8.12 apply zenon_H69. apply refl_equal.
% 7.95/8.12 apply zenon_H69. apply refl_equal.
% 7.95/8.12 (* end of lemma zenon_L438_ *)
% 7.95/8.12 assert (zenon_L439_ : ((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((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 (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((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))))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H1aa zenon_H87 zenon_H2d zenon_H1f zenon_H95 zenon_H4e zenon_He4 zenon_H43 zenon_H173 zenon_H117 zenon_H81 zenon_H38 zenon_H11b zenon_H67 zenon_Hca zenon_H20 zenon_H9f zenon_Hbd zenon_H15a zenon_H51 zenon_Hbb zenon_H8f zenon_Hc3.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H118 | zenon_intro zenon_H6e ].
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.95/8.12 exact (zenon_H87 zenon_H86).
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.95/8.12 apply (zenon_L304_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.95/8.12 apply (zenon_L437_); trivial.
% 7.95/8.12 apply (zenon_L438_); trivial.
% 7.95/8.12 apply (zenon_L85_); trivial.
% 7.95/8.12 (* end of lemma zenon_L439_ *)
% 7.95/8.12 assert (zenon_L440_ : (((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 (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (~((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (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 (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((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)) = (e0)) -> (~((e0) = (e3))) -> False).
% 7.95/8.12 do 0 intro. intros zenon_Hc3 zenon_H6c zenon_H26 zenon_H81 zenon_H9f zenon_H38 zenon_H118 zenon_H43 zenon_H117 zenon_H20 zenon_H4e zenon_H2d zenon_H173 zenon_He4 zenon_H11b zenon_H51 zenon_Hca zenon_Hbd zenon_Hbb zenon_H8f zenon_H87 zenon_H95 zenon_H15a zenon_H67.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.95/8.12 exact (zenon_H87 zenon_H86).
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.95/8.12 apply (zenon_L338_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.95/8.12 apply (zenon_L437_); trivial.
% 7.95/8.12 apply (zenon_L438_); trivial.
% 7.95/8.12 (* end of lemma zenon_L440_ *)
% 7.95/8.12 assert (zenon_L441_ : (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e0) (e3)) = (e0)) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H12b zenon_H87 zenon_H15a.
% 7.95/8.12 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hfc. zenon_intro zenon_H12c.
% 7.95/8.12 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H1f1. zenon_intro zenon_H1f0.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H158 | zenon_intro zenon_H86 ].
% 7.95/8.12 exact (zenon_H158 zenon_H15a).
% 7.95/8.12 exact (zenon_H87 zenon_H86).
% 7.95/8.12 (* end of lemma zenon_L441_ *)
% 7.95/8.12 assert (zenon_L442_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e1))) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H1e zenon_Hb9 zenon_H55.
% 7.95/8.12 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H56 | zenon_intro zenon_H57 ].
% 7.95/8.12 cut (((e1) = (e1)) = ((e0) = (e1))).
% 7.95/8.12 intro zenon_D_pnotp.
% 7.95/8.12 apply zenon_H55.
% 7.95/8.12 rewrite <- zenon_D_pnotp.
% 7.95/8.12 exact zenon_H56.
% 7.95/8.12 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.95/8.12 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 7.95/8.12 congruence.
% 7.95/8.12 cut (((op (e0) (e0)) = (e0)) = ((e1) = (e0))).
% 7.95/8.12 intro zenon_D_pnotp.
% 7.95/8.12 apply zenon_H58.
% 7.95/8.12 rewrite <- zenon_D_pnotp.
% 7.95/8.12 exact zenon_H1e.
% 7.95/8.12 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.95/8.12 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 7.95/8.12 congruence.
% 7.95/8.12 exact (zenon_Hb5 zenon_Hb9).
% 7.95/8.12 apply zenon_H1d. apply refl_equal.
% 7.95/8.12 apply zenon_H57. apply refl_equal.
% 7.95/8.12 apply zenon_H57. apply refl_equal.
% 7.95/8.12 (* end of lemma zenon_L442_ *)
% 7.95/8.12 assert (zenon_L443_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e0)) = (e3))) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H1e6 zenon_H29 zenon_H28 zenon_H36 zenon_Hb0 zenon_H30 zenon_H98 zenon_H87.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e | zenon_intro zenon_H1e7 ].
% 7.95/8.12 apply (zenon_L4_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1e8 ].
% 7.95/8.12 apply (zenon_L388_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1f | zenon_intro zenon_H86 ].
% 7.95/8.12 apply (zenon_L212_); trivial.
% 7.95/8.12 exact (zenon_H87 zenon_H86).
% 7.95/8.12 (* end of lemma zenon_L443_ *)
% 7.95/8.12 assert (zenon_L444_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((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))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H61 zenon_H87 zenon_H98 zenon_H30 zenon_Hb0 zenon_H28 zenon_H1e6 zenon_He4 zenon_H5a zenon_H173 zenon_H3d zenon_H1e zenon_H4e zenon_H38 zenon_H36 zenon_Hf1 zenon_H15a.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.95/8.12 apply (zenon_L443_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.95/8.12 apply (zenon_L431_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.95/8.12 apply (zenon_L8_); trivial.
% 7.95/8.12 apply (zenon_L432_); trivial.
% 7.95/8.12 (* end of lemma zenon_L444_ *)
% 7.95/8.12 assert (zenon_L445_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((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))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H124 zenon_H67 zenon_H61 zenon_H87 zenon_H98 zenon_H30 zenon_H28 zenon_H1e6 zenon_He4 zenon_H5a zenon_H173 zenon_H3d zenon_H1e zenon_H4e zenon_H38 zenon_H36 zenon_Hf1 zenon_H6c zenon_Hc3 zenon_H99 zenon_Hcf zenon_H15a zenon_H20.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.95/8.12 apply (zenon_L2_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.95/8.12 exact (zenon_H87 zenon_H86).
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.95/8.12 apply (zenon_L338_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.95/8.12 apply (zenon_L444_); trivial.
% 7.95/8.12 apply (zenon_L438_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.95/8.12 apply (zenon_L65_); trivial.
% 7.95/8.12 apply (zenon_L223_); trivial.
% 7.95/8.12 (* end of lemma zenon_L445_ *)
% 7.95/8.12 assert (zenon_L446_ : (((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)) -> ((op (e2) (e2)) = (e0)) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 7.95/8.12 do 0 intro. intros zenon_Hc3 zenon_H87 zenon_H6c zenon_H26 zenon_H36 zenon_Hb9 zenon_H15a zenon_H67.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.95/8.12 exact (zenon_H87 zenon_H86).
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.95/8.12 apply (zenon_L338_); trivial.
% 7.95/8.12 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.95/8.12 apply (zenon_L388_); trivial.
% 7.95/8.12 apply (zenon_L438_); trivial.
% 7.95/8.12 (* end of lemma zenon_L446_ *)
% 7.95/8.12 assert (zenon_L447_ : (~((op (op (e0) (e0)) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e1)) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H1f2 zenon_Hb9.
% 7.95/8.12 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.95/8.12 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 7.95/8.12 congruence.
% 7.95/8.12 exact (zenon_Hb5 zenon_Hb9).
% 7.95/8.12 apply zenon_H1d. apply refl_equal.
% 7.95/8.12 (* end of lemma zenon_L447_ *)
% 7.95/8.12 assert (zenon_L448_ : ((op (e1) (e0)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> (~((e3) = (op (op (e0) (e0)) (e0)))) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H88 zenon_Hb9 zenon_H1f3.
% 7.95/8.12 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H1f5 ].
% 7.95/8.12 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((e3) = (op (op (e0) (e0)) (e0)))).
% 7.95/8.12 intro zenon_D_pnotp.
% 7.95/8.12 apply zenon_H1f3.
% 7.95/8.12 rewrite <- zenon_D_pnotp.
% 7.95/8.12 exact zenon_H1f4.
% 7.95/8.12 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f5].
% 7.95/8.12 cut (((op (op (e0) (e0)) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 7.95/8.12 congruence.
% 7.95/8.12 cut (((op (e1) (e0)) = (e3)) = ((op (op (e0) (e0)) (e0)) = (e3))).
% 7.95/8.12 intro zenon_D_pnotp.
% 7.95/8.12 apply zenon_H1f6.
% 7.95/8.12 rewrite <- zenon_D_pnotp.
% 7.95/8.12 exact zenon_H88.
% 7.95/8.12 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.95/8.12 cut (((op (e1) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f7].
% 7.95/8.12 congruence.
% 7.95/8.12 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H1f5 ].
% 7.95/8.12 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((op (e1) (e0)) = (op (op (e0) (e0)) (e0)))).
% 7.95/8.12 intro zenon_D_pnotp.
% 7.95/8.12 apply zenon_H1f7.
% 7.95/8.12 rewrite <- zenon_D_pnotp.
% 7.95/8.12 exact zenon_H1f4.
% 7.95/8.12 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f5].
% 7.95/8.12 cut (((op (op (e0) (e0)) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f2].
% 7.95/8.12 congruence.
% 7.95/8.12 apply (zenon_L447_); trivial.
% 7.95/8.12 apply zenon_H1f5. apply refl_equal.
% 7.95/8.12 apply zenon_H1f5. apply refl_equal.
% 7.95/8.12 apply zenon_H69. apply refl_equal.
% 7.95/8.12 apply zenon_H1f5. apply refl_equal.
% 7.95/8.12 apply zenon_H1f5. apply refl_equal.
% 7.95/8.12 (* end of lemma zenon_L448_ *)
% 7.95/8.12 assert (zenon_L449_ : ((op (e1) (e1)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> False).
% 7.95/8.12 do 0 intro. intros zenon_H6e zenon_H88 zenon_Hb9.
% 7.95/8.12 apply (zenon_notand_s _ _ ax18); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H1f8 ].
% 7.95/8.12 elim (classic ((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1fb ].
% 7.95/8.12 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0)))) = ((e2) = (op (op (e0) (e0)) (op (e0) (e0))))).
% 7.95/8.12 intro zenon_D_pnotp.
% 7.95/8.12 apply zenon_H1f9.
% 7.95/8.12 rewrite <- zenon_D_pnotp.
% 7.95/8.12 exact zenon_H1fa.
% 7.95/8.12 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1fb].
% 7.95/8.12 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1fc].
% 7.95/8.12 congruence.
% 7.95/8.12 cut (((op (e1) (e1)) = (e2)) = ((op (op (e0) (e0)) (op (e0) (e0))) = (e2))).
% 7.95/8.12 intro zenon_D_pnotp.
% 7.95/8.12 apply zenon_H1fc.
% 7.95/8.12 rewrite <- zenon_D_pnotp.
% 7.95/8.12 exact zenon_H6e.
% 7.95/8.12 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.95/8.12 cut (((op (e1) (e1)) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1fd].
% 7.95/8.12 congruence.
% 7.95/8.12 elim (classic ((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1fb ].
% 7.95/8.12 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0)))) = ((op (e1) (e1)) = (op (op (e0) (e0)) (op (e0) (e0))))).
% 7.95/8.12 intro zenon_D_pnotp.
% 7.95/8.12 apply zenon_H1fd.
% 7.95/8.12 rewrite <- zenon_D_pnotp.
% 7.95/8.12 exact zenon_H1fa.
% 7.95/8.12 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1fb].
% 7.95/8.12 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1fe].
% 7.95/8.12 congruence.
% 7.95/8.12 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 7.95/8.12 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 7.95/8.12 congruence.
% 7.95/8.12 exact (zenon_Hb5 zenon_Hb9).
% 7.95/8.12 exact (zenon_Hb5 zenon_Hb9).
% 7.95/8.12 apply zenon_H1fb. apply refl_equal.
% 7.95/8.12 apply zenon_H1fb. apply refl_equal.
% 7.95/8.12 apply zenon_H22. apply refl_equal.
% 7.95/8.12 apply zenon_H1fb. apply refl_equal.
% 7.95/8.12 apply zenon_H1fb. apply refl_equal.
% 7.95/8.12 apply (zenon_notand_s _ _ zenon_H1f8); [ zenon_intro zenon_H1ff | zenon_intro zenon_H1f3 ].
% 7.95/8.13 apply zenon_H1ff. apply sym_equal. exact zenon_Hb9.
% 7.95/8.13 apply (zenon_L448_); trivial.
% 7.95/8.13 (* end of lemma zenon_L449_ *)
% 7.95/8.13 assert (zenon_L450_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> False).
% 7.95/8.13 do 0 intro. intros zenon_H15a zenon_H111 zenon_H200.
% 7.95/8.13 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H201 | zenon_intro zenon_H105 ].
% 7.95/8.13 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e2)) = (op (e0) (e3)))).
% 7.95/8.13 intro zenon_D_pnotp.
% 7.95/8.13 apply zenon_H200.
% 7.95/8.13 rewrite <- zenon_D_pnotp.
% 7.95/8.13 exact zenon_H201.
% 7.95/8.13 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H105].
% 7.95/8.13 cut (((op (e0) (e3)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H202].
% 7.95/8.13 congruence.
% 7.95/8.13 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e0) (e2)))).
% 7.95/8.13 intro zenon_D_pnotp.
% 7.95/8.13 apply zenon_H202.
% 7.95/8.13 rewrite <- zenon_D_pnotp.
% 7.95/8.13 exact zenon_H15a.
% 7.95/8.13 cut (((e0) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H203].
% 7.95/8.13 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H105].
% 7.95/8.13 congruence.
% 7.95/8.13 apply zenon_H105. apply refl_equal.
% 7.95/8.13 apply zenon_H203. apply sym_equal. exact zenon_H111.
% 7.95/8.13 apply zenon_H105. apply refl_equal.
% 7.95/8.13 apply zenon_H105. apply refl_equal.
% 7.95/8.13 (* end of lemma zenon_L450_ *)
% 7.95/8.13 assert (zenon_L451_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False).
% 7.95/8.13 do 0 intro. intros zenon_H117 zenon_H44 zenon_H43 zenon_Hc6 zenon_Hef zenon_H82 zenon_H81 zenon_H15c zenon_H38.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H37 | zenon_intro zenon_H119 ].
% 7.95/8.13 apply (zenon_L11_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H11a ].
% 7.95/8.13 apply (zenon_L90_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H83 | zenon_intro zenon_H115 ].
% 7.95/8.13 apply (zenon_L35_); trivial.
% 7.95/8.13 apply (zenon_L409_); trivial.
% 7.95/8.13 (* end of lemma zenon_L451_ *)
% 7.95/8.13 assert (zenon_L452_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False).
% 7.95/8.13 do 0 intro. intros zenon_H11b zenon_H200 zenon_H15a zenon_H29 zenon_H113 zenon_H67 zenon_H117 zenon_H43 zenon_Hc6 zenon_Hef zenon_H82 zenon_H81 zenon_H15c zenon_H38.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H111 | zenon_intro zenon_H11c ].
% 7.95/8.13 apply (zenon_L450_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H37 | zenon_intro zenon_H11d ].
% 7.95/8.13 apply (zenon_L119_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H36 | zenon_intro zenon_H44 ].
% 7.95/8.13 apply (zenon_L215_); trivial.
% 7.95/8.13 apply (zenon_L451_); trivial.
% 7.95/8.13 (* end of lemma zenon_L452_ *)
% 7.95/8.13 assert (zenon_L453_ : ((op (e3) (e2)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False).
% 7.95/8.13 do 0 intro. intros zenon_Hf7 zenon_H115 zenon_H43.
% 7.95/8.13 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfa ].
% 7.95/8.13 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e1) (e2)) = (op (e3) (e2)))).
% 7.95/8.13 intro zenon_D_pnotp.
% 7.95/8.13 apply zenon_H43.
% 7.95/8.13 rewrite <- zenon_D_pnotp.
% 7.95/8.13 exact zenon_Hf9.
% 7.95/8.13 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hfa].
% 7.95/8.13 cut (((op (e3) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H204].
% 7.95/8.13 congruence.
% 7.95/8.13 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e1) (e2)))).
% 7.95/8.13 intro zenon_D_pnotp.
% 7.95/8.13 apply zenon_H204.
% 7.95/8.13 rewrite <- zenon_D_pnotp.
% 7.95/8.13 exact zenon_Hf7.
% 7.95/8.13 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H116].
% 7.95/8.13 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hfa].
% 7.95/8.13 congruence.
% 7.95/8.13 apply zenon_Hfa. apply refl_equal.
% 7.95/8.13 apply zenon_H116. apply sym_equal. exact zenon_H115.
% 7.95/8.13 apply zenon_Hfa. apply refl_equal.
% 7.95/8.13 apply zenon_Hfa. apply refl_equal.
% 7.95/8.13 (* end of lemma zenon_L453_ *)
% 7.95/8.13 assert (zenon_L454_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.13 do 0 intro. intros zenon_H102 zenon_H3e zenon_H67 zenon_H1e9 zenon_H43 zenon_H115 zenon_H14e zenon_H49.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H92 | zenon_intro zenon_H103 ].
% 7.95/8.13 apply (zenon_L313_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H7f | zenon_intro zenon_H104 ].
% 7.95/8.13 exact (zenon_H1e9 zenon_H7f).
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hfc ].
% 7.95/8.13 apply (zenon_L453_); trivial.
% 7.95/8.13 apply (zenon_L187_); trivial.
% 7.95/8.13 (* end of lemma zenon_L454_ *)
% 7.95/8.13 assert (zenon_L455_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e1)) = (e2))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 7.95/8.13 do 0 intro. intros zenon_Ha7 zenon_H99 zenon_H54 zenon_H1eb zenon_H20 zenon_H36 zenon_Ha2 zenon_H64.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H98 | zenon_intro zenon_Ha8 ].
% 7.95/8.13 apply (zenon_L41_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9c | zenon_intro zenon_Ha9 ].
% 7.95/8.13 exact (zenon_H1eb zenon_H9c).
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha1 ].
% 7.95/8.13 apply (zenon_L44_); trivial.
% 7.95/8.13 apply (zenon_L45_); trivial.
% 7.95/8.13 (* end of lemma zenon_L455_ *)
% 7.95/8.13 assert (zenon_L456_ : ((op (e3) (e3)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.13 do 0 intro. intros zenon_He2 zenon_H140 zenon_H49.
% 7.95/8.13 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H4a | zenon_intro zenon_H4b ].
% 7.95/8.13 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e2) (e3)) = (op (e3) (e3)))).
% 7.95/8.13 intro zenon_D_pnotp.
% 7.95/8.13 apply zenon_H49.
% 7.95/8.13 rewrite <- zenon_D_pnotp.
% 7.95/8.13 exact zenon_H4a.
% 7.95/8.13 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.95/8.13 cut (((op (e3) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4c].
% 7.95/8.13 congruence.
% 7.95/8.13 cut (((op (e3) (e3)) = (e1)) = ((op (e3) (e3)) = (op (e2) (e3)))).
% 7.95/8.13 intro zenon_D_pnotp.
% 7.95/8.13 apply zenon_H4c.
% 7.95/8.13 rewrite <- zenon_D_pnotp.
% 7.95/8.13 exact zenon_He2.
% 7.95/8.13 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H141].
% 7.95/8.13 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.95/8.13 congruence.
% 7.95/8.13 apply zenon_H4b. apply refl_equal.
% 7.95/8.13 apply zenon_H141. apply sym_equal. exact zenon_H140.
% 7.95/8.13 apply zenon_H4b. apply refl_equal.
% 7.95/8.13 apply zenon_H4b. apply refl_equal.
% 7.95/8.13 (* end of lemma zenon_L456_ *)
% 7.95/8.13 assert (zenon_L457_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e0)) -> ((op (e3) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.13 do 0 intro. intros zenon_H142 zenon_H64 zenon_Ha2 zenon_H20 zenon_H1eb zenon_H99 zenon_Ha7 zenon_Hc6 zenon_Hca zenon_H55 zenon_H36 zenon_He2 zenon_H49.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 7.95/8.13 apply (zenon_L455_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 7.95/8.13 apply (zenon_L228_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 7.95/8.13 apply (zenon_L155_); trivial.
% 7.95/8.13 apply (zenon_L456_); trivial.
% 7.95/8.13 (* end of lemma zenon_L457_ *)
% 7.95/8.13 assert (zenon_L458_ : ((op (e3) (e3)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 7.95/8.13 do 0 intro. intros zenon_H195 zenon_Hdc zenon_H12d.
% 7.95/8.13 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H4a | zenon_intro zenon_H4b ].
% 7.95/8.13 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e1)) = (op (e3) (e3)))).
% 7.95/8.13 intro zenon_D_pnotp.
% 7.95/8.13 apply zenon_H12d.
% 7.95/8.13 rewrite <- zenon_D_pnotp.
% 7.95/8.13 exact zenon_H4a.
% 7.95/8.13 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.95/8.13 cut (((op (e3) (e3)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H12e].
% 7.95/8.13 congruence.
% 7.95/8.13 cut (((op (e3) (e3)) = (e2)) = ((op (e3) (e3)) = (op (e3) (e1)))).
% 7.95/8.13 intro zenon_D_pnotp.
% 7.95/8.13 apply zenon_H12e.
% 7.95/8.13 rewrite <- zenon_D_pnotp.
% 7.95/8.13 exact zenon_H195.
% 7.95/8.13 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H135].
% 7.95/8.13 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.95/8.13 congruence.
% 7.95/8.13 apply zenon_H4b. apply refl_equal.
% 7.95/8.13 apply zenon_H135. apply sym_equal. exact zenon_Hdc.
% 7.95/8.13 apply zenon_H4b. apply refl_equal.
% 7.95/8.13 apply zenon_H4b. apply refl_equal.
% 7.95/8.13 (* end of lemma zenon_L458_ *)
% 7.95/8.13 assert (zenon_L459_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.13 do 0 intro. intros zenon_H205 zenon_H41 zenon_H36 zenon_H55 zenon_Hca zenon_Hc6 zenon_Ha7 zenon_H99 zenon_H1eb zenon_H20 zenon_Ha2 zenon_H64 zenon_H142 zenon_H12d zenon_Hdc zenon_H14e zenon_H49.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H47 | zenon_intro zenon_H206 ].
% 7.95/8.13 apply (zenon_L292_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_He2 | zenon_intro zenon_H207 ].
% 7.95/8.13 apply (zenon_L457_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H195 | zenon_intro zenon_Hfc ].
% 7.95/8.13 apply (zenon_L458_); trivial.
% 7.95/8.13 apply (zenon_L187_); trivial.
% 7.95/8.13 (* end of lemma zenon_L459_ *)
% 7.95/8.13 assert (zenon_L460_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((e0) = (e3))) -> (((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)) = (e3)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 7.95/8.13 do 0 intro. intros zenon_H4e zenon_H115 zenon_H43 zenon_H1e9 zenon_H67 zenon_H102 zenon_H49 zenon_H14e zenon_Hdc zenon_H12d zenon_H142 zenon_H64 zenon_Ha2 zenon_H20 zenon_H1eb zenon_H99 zenon_Ha7 zenon_Hc6 zenon_Hca zenon_H55 zenon_H205 zenon_H36 zenon_H5a zenon_He4 zenon_H15a.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.95/8.13 apply (zenon_L454_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.95/8.13 apply (zenon_L459_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.95/8.13 apply (zenon_L16_); trivial.
% 7.95/8.13 apply (zenon_L430_); trivial.
% 7.95/8.13 (* end of lemma zenon_L460_ *)
% 7.95/8.13 assert (zenon_L461_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False).
% 7.95/8.13 do 0 intro. intros zenon_H117 zenon_H38 zenon_H36 zenon_He0 zenon_H82 zenon_H81 zenon_Hf7 zenon_H43.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H37 | zenon_intro zenon_H119 ].
% 7.95/8.13 apply (zenon_L8_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H11a ].
% 7.95/8.13 apply (zenon_L80_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H83 | zenon_intro zenon_H115 ].
% 7.95/8.13 apply (zenon_L35_); trivial.
% 7.95/8.13 apply (zenon_L453_); trivial.
% 7.95/8.13 (* end of lemma zenon_L461_ *)
% 7.95/8.13 assert (zenon_L462_ : (~((e1) = (e2))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> False).
% 7.95/8.13 do 0 intro. intros zenon_H99 zenon_H1f zenon_Hb9.
% 7.95/8.13 cut (((op (e0) (e0)) = (e2)) = ((e1) = (e2))).
% 7.95/8.13 intro zenon_D_pnotp.
% 7.95/8.13 apply zenon_H99.
% 7.95/8.13 rewrite <- zenon_D_pnotp.
% 7.95/8.13 exact zenon_H1f.
% 7.95/8.13 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.95/8.13 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 7.95/8.13 congruence.
% 7.95/8.13 exact (zenon_Hb5 zenon_Hb9).
% 7.95/8.13 apply zenon_H22. apply refl_equal.
% 7.95/8.13 (* end of lemma zenon_L462_ *)
% 7.95/8.13 assert (zenon_L463_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e0)) -> ((op (e3) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.13 do 0 intro. intros zenon_H142 zenon_Hb9 zenon_H30 zenon_Hc6 zenon_Hca zenon_H55 zenon_H36 zenon_He2 zenon_H49.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 7.95/8.13 apply (zenon_L422_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 7.95/8.13 apply (zenon_L228_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 7.95/8.13 apply (zenon_L155_); trivial.
% 7.95/8.13 apply (zenon_L456_); trivial.
% 7.95/8.13 (* end of lemma zenon_L463_ *)
% 7.95/8.13 assert (zenon_L464_ : ((~((op (e3) (e1)) = (e3)))\/((op (e3) (e3)) = (e1))) -> (~((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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (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 (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (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) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e1)) = (e1))/\(((~((op (e0) (e1)) = (e0)))\/((op (e0) (e0)) = (e1)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e1)) = (e2)))\/((op (e2) (e2)) = (e1)))/\((~((op (e3) (e1)) = (e3)))\/((op (e3) (e3)) = (e1))))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 7.95/8.13 do 0 intro. intros zenon_H208 zenon_H55 zenon_Hb9 zenon_H124 zenon_H95 zenon_H1ec zenon_H20 zenon_H81 zenon_H13b zenon_H99 zenon_Hef zenon_Hc6 zenon_H16b zenon_H4e zenon_He4 zenon_H5a zenon_H12d zenon_H142 zenon_Hca zenon_H64 zenon_Ha7 zenon_H205 zenon_H49 zenon_H102 zenon_H1d0 zenon_H200 zenon_H113 zenon_H117 zenon_H38 zenon_H43 zenon_H11b zenon_H33 zenon_H1ca zenon_H1eb zenon_H130 zenon_H11e zenon_H87 zenon_H6c zenon_H36 zenon_H67 zenon_H15a zenon_Hc3 zenon_H98 zenon_H30 zenon_H106 zenon_H18b.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1e9 | zenon_intro zenon_He2 ].
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 7.95/8.13 apply (zenon_L442_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.95/8.13 apply (zenon_L212_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.95/8.13 apply (zenon_L446_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.95/8.13 exact (zenon_H87 zenon_H86).
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.13 exact (zenon_H87 zenon_H86).
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.95/8.13 apply (zenon_L17_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.95/8.13 apply (zenon_L449_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.95/8.13 apply (zenon_L35_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.95/8.13 apply (zenon_L338_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.95/8.13 apply (zenon_L142_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.95/8.13 exact (zenon_H1eb zenon_H9c).
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1cb ].
% 7.95/8.13 apply (zenon_L65_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1cc ].
% 7.95/8.13 apply (zenon_L90_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H13e | zenon_intro zenon_He0 ].
% 7.95/8.13 apply (zenon_L155_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H8e | zenon_intro zenon_H16c ].
% 7.95/8.13 apply (zenon_L136_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H70 | zenon_intro zenon_H16d ].
% 7.95/8.13 apply (zenon_L226_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H15c | zenon_intro zenon_H14e ].
% 7.95/8.13 apply (zenon_L452_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d1 ].
% 7.95/8.13 apply (zenon_L388_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H115 | zenon_intro zenon_H1d2 ].
% 7.95/8.13 apply (zenon_L460_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15c | zenon_intro zenon_Hf7 ].
% 7.95/8.13 apply (zenon_L452_); trivial.
% 7.95/8.13 apply (zenon_L461_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.13 apply (zenon_L136_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.95/8.13 apply (zenon_L17_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.95/8.13 apply (zenon_L67_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.95/8.13 apply (zenon_L35_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.95/8.13 apply (zenon_L446_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.95/8.13 apply (zenon_L142_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.95/8.13 exact (zenon_H1eb zenon_H9c).
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H8e | zenon_intro zenon_H16c ].
% 7.95/8.13 apply (zenon_L136_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H70 | zenon_intro zenon_H16d ].
% 7.95/8.13 apply (zenon_L226_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H15c | zenon_intro zenon_H14e ].
% 7.95/8.13 apply (zenon_L215_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d1 ].
% 7.95/8.13 apply (zenon_L388_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H115 | zenon_intro zenon_H1d2 ].
% 7.95/8.13 apply (zenon_L460_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15c | zenon_intro zenon_Hf7 ].
% 7.95/8.13 apply (zenon_L452_); trivial.
% 7.95/8.13 apply (zenon_L423_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.95/8.13 apply (zenon_L388_); trivial.
% 7.95/8.13 apply (zenon_L438_); trivial.
% 7.95/8.13 apply (zenon_L223_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 7.95/8.13 apply (zenon_L260_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.95/8.13 apply (zenon_L462_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.95/8.13 apply (zenon_L446_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.95/8.13 exact (zenon_H87 zenon_H86).
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1cb ].
% 7.95/8.13 apply (zenon_L65_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1cc ].
% 7.95/8.13 apply (zenon_L420_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H13e | zenon_intro zenon_He0 ].
% 7.95/8.13 apply (zenon_L155_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H8e | zenon_intro zenon_H16c ].
% 7.95/8.13 apply (zenon_L136_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H70 | zenon_intro zenon_H16d ].
% 7.95/8.13 apply (zenon_L226_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H15c | zenon_intro zenon_H14e ].
% 7.95/8.13 apply (zenon_L215_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d1 ].
% 7.95/8.13 apply (zenon_L388_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H115 | zenon_intro zenon_H1d2 ].
% 7.95/8.13 apply (zenon_L454_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15c | zenon_intro zenon_Hf7 ].
% 7.95/8.13 apply (zenon_L215_); trivial.
% 7.95/8.13 apply (zenon_L461_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.95/8.13 apply (zenon_L388_); trivial.
% 7.95/8.13 apply (zenon_L438_); trivial.
% 7.95/8.13 apply (zenon_L223_); trivial.
% 7.95/8.13 apply (zenon_L463_); trivial.
% 7.95/8.13 (* end of lemma zenon_L464_ *)
% 7.95/8.13 assert (zenon_L465_ : (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0)))/\(((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0)))/\((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e1) (e0)) = (e1)) -> False).
% 7.95/8.13 do 0 intro. intros zenon_Had zenon_Heb zenon_Hbb.
% 7.95/8.13 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H1e. zenon_intro zenon_Hae.
% 7.95/8.13 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 7.95/8.13 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_Hb4. zenon_intro zenon_H1af.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H2d ].
% 7.95/8.13 exact (zenon_Hb7 zenon_Hbb).
% 7.95/8.13 exact (zenon_Heb zenon_H2d).
% 7.95/8.13 (* end of lemma zenon_L465_ *)
% 7.95/8.13 assert (zenon_L466_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False).
% 7.95/8.13 do 0 intro. intros zenon_H209 zenon_H127 zenon_He0 zenon_Hf8 zenon_H10b zenon_H9f zenon_H81 zenon_H115.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H111 | zenon_intro zenon_H20a ].
% 7.95/8.13 exact (zenon_H127 zenon_H111).
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_Hcf | zenon_intro zenon_H20b ].
% 7.95/8.13 apply (zenon_L177_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H82 | zenon_intro zenon_Hb0 ].
% 7.95/8.13 apply (zenon_L115_); trivial.
% 7.95/8.13 apply (zenon_L120_); trivial.
% 7.95/8.13 (* end of lemma zenon_L466_ *)
% 7.95/8.13 assert (zenon_L467_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> False).
% 7.95/8.13 do 0 intro. intros zenon_H117 zenon_H44 zenon_H43 zenon_H38 zenon_H209 zenon_H127 zenon_He0 zenon_Hf8 zenon_H10b zenon_H9f zenon_H81.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H37 | zenon_intro zenon_H119 ].
% 7.95/8.13 apply (zenon_L11_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H11a ].
% 7.95/8.13 apply (zenon_L80_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H83 | zenon_intro zenon_H115 ].
% 7.95/8.13 apply (zenon_L107_); trivial.
% 7.95/8.13 apply (zenon_L466_); trivial.
% 7.95/8.13 (* end of lemma zenon_L467_ *)
% 7.95/8.13 assert (zenon_L468_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> False).
% 7.95/8.13 do 0 intro. intros zenon_H1ca zenon_Hb0 zenon_H113 zenon_Hbb zenon_H99 zenon_H117 zenon_H44 zenon_H43 zenon_H38 zenon_H209 zenon_H127 zenon_Hf8 zenon_H10b zenon_H9f zenon_H81.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1cb ].
% 7.95/8.13 apply (zenon_L133_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1cc ].
% 7.95/8.13 apply (zenon_L323_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H13e | zenon_intro zenon_He0 ].
% 7.95/8.13 apply (zenon_L169_); trivial.
% 7.95/8.13 apply (zenon_L467_); trivial.
% 7.95/8.13 (* end of lemma zenon_L468_ *)
% 7.95/8.13 assert (zenon_L469_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> False).
% 7.95/8.13 do 0 intro. intros zenon_H11b zenon_H29 zenon_Hb9 zenon_H1ca zenon_Hb0 zenon_H113 zenon_Hbb zenon_H99 zenon_H117 zenon_H43 zenon_H38 zenon_H209 zenon_H127 zenon_Hf8 zenon_H10b zenon_H9f zenon_H81.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H111 | zenon_intro zenon_H11c ].
% 7.95/8.13 exact (zenon_H127 zenon_H111).
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H37 | zenon_intro zenon_H11d ].
% 7.95/8.13 apply (zenon_L119_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H36 | zenon_intro zenon_H44 ].
% 7.95/8.13 apply (zenon_L388_); trivial.
% 7.95/8.13 apply (zenon_L468_); trivial.
% 7.95/8.13 (* end of lemma zenon_L469_ *)
% 7.95/8.13 assert (zenon_L470_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 7.95/8.13 do 0 intro. intros zenon_H95 zenon_H8f zenon_Hb9 zenon_H6e zenon_H67 zenon_H31 zenon_H6c zenon_H93.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.13 apply (zenon_L333_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.13 apply (zenon_L449_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.13 apply (zenon_L123_); trivial.
% 7.95/8.13 apply (zenon_L39_); trivial.
% 7.95/8.13 (* end of lemma zenon_L470_ *)
% 7.95/8.13 assert (zenon_L471_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> False).
% 7.95/8.13 do 0 intro. intros zenon_Hec zenon_H99 zenon_H89 zenon_H10e zenon_H9f zenon_H95 zenon_H8f zenon_Hb9 zenon_H6e zenon_H67 zenon_H31 zenon_H6c.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.95/8.13 apply (zenon_L462_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.95/8.13 apply (zenon_L84_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.95/8.13 apply (zenon_L117_); trivial.
% 7.95/8.13 apply (zenon_L470_); trivial.
% 7.95/8.13 (* end of lemma zenon_L471_ *)
% 7.95/8.13 assert (zenon_L472_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((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)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> False).
% 7.95/8.13 do 0 intro. intros zenon_H18b zenon_H55 zenon_H11b zenon_H1ca zenon_H113 zenon_Hbb zenon_H117 zenon_H43 zenon_H38 zenon_H209 zenon_H127 zenon_Hf8 zenon_H10b zenon_H81 zenon_H25 zenon_Hc3 zenon_H2c zenon_H124 zenon_H6c zenon_H67 zenon_H8f zenon_H95 zenon_Hec zenon_Hb9 zenon_H99 zenon_H89 zenon_H6e zenon_H10e zenon_H9f zenon_H20.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 7.95/8.13 apply (zenon_L442_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.95/8.13 apply (zenon_L462_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.95/8.13 apply (zenon_L128_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.95/8.13 apply (zenon_L115_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.95/8.13 apply (zenon_L333_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.95/8.13 apply (zenon_L24_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.95/8.13 apply (zenon_L469_); trivial.
% 7.95/8.13 apply (zenon_L57_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 7.95/8.13 apply (zenon_L471_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.95/8.13 apply (zenon_L462_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.95/8.13 apply (zenon_L84_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.95/8.13 apply (zenon_L117_); trivial.
% 7.95/8.13 apply (zenon_L77_); trivial.
% 7.95/8.13 (* end of lemma zenon_L472_ *)
% 7.95/8.13 assert (zenon_L473_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 7.95/8.13 do 0 intro. intros zenon_H95 zenon_Hb9 zenon_H8f zenon_H89 zenon_H6d zenon_H6c zenon_H98 zenon_Hfc zenon_H128.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.13 apply (zenon_L333_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.13 apply (zenon_L37_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.13 apply (zenon_L136_); trivial.
% 7.95/8.13 apply (zenon_L137_); trivial.
% 7.95/8.13 (* end of lemma zenon_L473_ *)
% 7.95/8.13 assert (zenon_L474_ : (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 7.95/8.13 do 0 intro. intros zenon_H30 zenon_H3d zenon_H117 zenon_H43 zenon_H13a zenon_H10b zenon_H1d0 zenon_H18e zenon_H38 zenon_H5a zenon_H1c7 zenon_H10e zenon_H67 zenon_Ha7 zenon_Hfc zenon_H1cd zenon_H55 zenon_H128 zenon_H89 zenon_H8f zenon_H95 zenon_H12b zenon_H11b zenon_H82 zenon_H81 zenon_Hef zenon_H6d zenon_H28 zenon_H29 zenon_H1e6 zenon_Hb9 zenon_H113 zenon_H6c zenon_H93.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.13 apply (zenon_L333_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.13 apply (zenon_L37_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.13 apply (zenon_L397_); trivial.
% 7.95/8.13 apply (zenon_L39_); trivial.
% 7.95/8.13 (* end of lemma zenon_L474_ *)
% 7.95/8.13 assert (zenon_L475_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 7.95/8.13 do 0 intro. intros zenon_H95 zenon_Hb9 zenon_H8f zenon_H89 zenon_H6d zenon_H67 zenon_H31 zenon_H12b zenon_H128.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.13 apply (zenon_L333_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.13 apply (zenon_L37_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.13 apply (zenon_L123_); trivial.
% 7.95/8.13 apply (zenon_L138_); trivial.
% 7.95/8.13 (* end of lemma zenon_L475_ *)
% 7.95/8.13 assert (zenon_L476_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((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 (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> False).
% 7.95/8.13 do 0 intro. intros zenon_H18b zenon_H157 zenon_H158 zenon_H154 zenon_Hff zenon_H64 zenon_Hf1 zenon_H5e zenon_H13a zenon_H49 zenon_Hbd zenon_H150 zenon_H190 zenon_H30 zenon_H3d zenon_H117 zenon_H43 zenon_H10b zenon_H1d0 zenon_H18e zenon_H38 zenon_H5a zenon_H1c7 zenon_H10e zenon_Ha7 zenon_H1cd zenon_H55 zenon_H11b zenon_H81 zenon_Hef zenon_H28 zenon_H1e6 zenon_H113 zenon_H25 zenon_H124 zenon_H12b zenon_H67 zenon_Hec zenon_H99 zenon_Hbb zenon_H128 zenon_Hfc zenon_H6c zenon_H6d zenon_H89 zenon_H8f zenon_Hb9 zenon_H95 zenon_H20.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 7.95/8.13 apply (zenon_L442_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.95/8.13 apply (zenon_L462_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.95/8.13 apply (zenon_L3_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.95/8.13 apply (zenon_L462_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.95/8.13 apply (zenon_L116_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.95/8.13 apply (zenon_L473_); trivial.
% 7.95/8.13 apply (zenon_L474_); trivial.
% 7.95/8.13 apply (zenon_L283_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 7.95/8.13 apply (zenon_L475_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.95/8.13 apply (zenon_L462_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.95/8.13 apply (zenon_L116_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.95/8.13 apply (zenon_L473_); trivial.
% 7.95/8.13 apply (zenon_L77_); trivial.
% 7.95/8.13 (* end of lemma zenon_L476_ *)
% 7.95/8.13 assert (zenon_L477_ : (((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 (e3) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> False).
% 7.95/8.13 do 0 intro. intros zenon_Hcc zenon_Heb zenon_H89 zenon_Hbb zenon_Hdc zenon_H173 zenon_Hca zenon_H70.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H2d | zenon_intro zenon_Hcd ].
% 7.95/8.13 exact (zenon_Heb zenon_H2d).
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hce ].
% 7.95/8.13 apply (zenon_L221_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 7.95/8.13 apply (zenon_L231_); trivial.
% 7.95/8.13 apply (zenon_L62_); trivial.
% 7.95/8.13 (* end of lemma zenon_L477_ *)
% 7.95/8.13 assert (zenon_L478_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (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 (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (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 (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (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) (e0)) = (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) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((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))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e2)) -> False).
% 7.95/8.13 do 0 intro. intros zenon_Haa zenon_H20 zenon_H95 zenon_Hb9 zenon_H8f zenon_Hfc zenon_H128 zenon_H99 zenon_Hec zenon_H67 zenon_H12b zenon_H124 zenon_H25 zenon_H113 zenon_H1e6 zenon_H28 zenon_Hef zenon_H81 zenon_H11b zenon_H55 zenon_H1cd zenon_Ha7 zenon_H10e zenon_H1c7 zenon_H5a zenon_H38 zenon_H18e zenon_H1d0 zenon_H10b zenon_H43 zenon_H117 zenon_H3d zenon_H30 zenon_H190 zenon_H150 zenon_Hbd zenon_H49 zenon_H13a zenon_H5e zenon_Hf1 zenon_H64 zenon_Hff zenon_H154 zenon_H158 zenon_H157 zenon_H18b zenon_Hca zenon_H173 zenon_Hbb zenon_H89 zenon_Heb zenon_Hcc zenon_H6c zenon_Hdc.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.95/8.13 apply (zenon_L24_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.95/8.13 apply (zenon_L476_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.95/8.13 apply (zenon_L477_); trivial.
% 7.95/8.13 apply (zenon_L73_); trivial.
% 7.95/8.13 (* end of lemma zenon_L478_ *)
% 7.95/8.13 assert (zenon_L479_ : (((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)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((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 (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (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 (e0) (e2)) = (e2)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 7.95/8.13 do 0 intro. intros zenon_Hcc zenon_Heb zenon_H89 zenon_Hbb zenon_H173 zenon_Hca zenon_H18b zenon_H157 zenon_H158 zenon_H154 zenon_Hff zenon_H64 zenon_Hf1 zenon_H5e zenon_H13a zenon_H49 zenon_Hbd zenon_H150 zenon_H190 zenon_H30 zenon_H3d zenon_H117 zenon_H43 zenon_H10b zenon_H1d0 zenon_H18e zenon_H38 zenon_H5a zenon_H1c7 zenon_H10e zenon_Ha7 zenon_H1cd zenon_H55 zenon_H11b zenon_H81 zenon_Hef zenon_H28 zenon_H1e6 zenon_H113 zenon_H25 zenon_H124 zenon_H12b zenon_H67 zenon_Hec zenon_H99 zenon_H8f zenon_Hb9 zenon_H95 zenon_H20 zenon_Haa zenon_H17c zenon_H130 zenon_H13b zenon_H82 zenon_H11e zenon_H6c zenon_H98 zenon_Hfc zenon_H128.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.13 apply (zenon_L333_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.95/8.13 apply (zenon_L116_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.95/8.13 apply (zenon_L449_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.95/8.13 apply (zenon_L35_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.95/8.13 apply (zenon_L3_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.95/8.13 apply (zenon_L142_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.95/8.13 apply (zenon_L238_); trivial.
% 7.95/8.13 apply (zenon_L478_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.13 apply (zenon_L136_); trivial.
% 7.95/8.13 apply (zenon_L137_); trivial.
% 7.95/8.13 (* end of lemma zenon_L479_ *)
% 7.95/8.13 assert (zenon_L480_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((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 (e2) (e1)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 7.95/8.13 do 0 intro. intros zenon_Haa zenon_H25 zenon_H128 zenon_H12b zenon_H31 zenon_H67 zenon_H89 zenon_H8f zenon_Hb9 zenon_H95 zenon_H6c zenon_H9c zenon_Hfc zenon_H12d.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.95/8.13 apply (zenon_L24_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.95/8.13 apply (zenon_L475_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.95/8.13 apply (zenon_L43_); trivial.
% 7.95/8.13 apply (zenon_L139_); trivial.
% 7.95/8.13 (* end of lemma zenon_L480_ *)
% 7.95/8.13 assert (zenon_L481_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((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)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((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)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e3)) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 7.95/8.13 do 0 intro. intros zenon_H11e zenon_H99 zenon_H6c zenon_Hcc zenon_Heb zenon_H89 zenon_Hbb zenon_H173 zenon_Hca zenon_Ha7 zenon_H128 zenon_Hfc zenon_Haf zenon_Hb0 zenon_H95 zenon_H134 zenon_H38 zenon_H13a zenon_H25 zenon_H67 zenon_Haa zenon_H88 zenon_H12b zenon_H12d zenon_Hb9 zenon_H20 zenon_H13b zenon_Hf1 zenon_Hbc.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 7.95/8.13 apply (zenon_L116_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 7.95/8.13 apply (zenon_L449_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.95/8.13 apply (zenon_L3_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.95/8.13 apply (zenon_L449_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.95/8.13 apply (zenon_L204_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.95/8.13 apply (zenon_L24_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.95/8.13 apply (zenon_L162_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.95/8.13 apply (zenon_L477_); trivial.
% 7.95/8.13 apply (zenon_L73_); trivial.
% 7.95/8.13 apply (zenon_L113_); trivial.
% 7.95/8.13 (* end of lemma zenon_L481_ *)
% 7.95/8.13 assert (zenon_L482_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e2)) -> False).
% 7.95/8.13 do 0 intro. intros zenon_Haa zenon_H67 zenon_H25 zenon_H89 zenon_H88 zenon_H18e zenon_H15c zenon_H6c zenon_Hdc.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.95/8.13 apply (zenon_L24_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.95/8.13 apply (zenon_L37_); trivial.
% 7.95/8.13 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.95/8.13 apply (zenon_L273_); trivial.
% 7.95/8.14 apply (zenon_L73_); trivial.
% 7.95/8.14 (* end of lemma zenon_L482_ *)
% 7.95/8.14 assert (zenon_L483_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e2) = (e3))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_H13b zenon_H20 zenon_Ha2 zenon_H130 zenon_H12d zenon_H12b zenon_Haa zenon_H67 zenon_H25 zenon_H89 zenon_H88 zenon_H18e zenon_H15c zenon_H6c.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.95/8.14 apply (zenon_L3_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.95/8.14 apply (zenon_L142_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.95/8.14 apply (zenon_L204_); trivial.
% 7.95/8.14 apply (zenon_L482_); trivial.
% 7.95/8.14 (* end of lemma zenon_L483_ *)
% 7.95/8.14 assert (zenon_L484_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_Hc3 zenon_Hb9 zenon_H8f zenon_H67 zenon_H25 zenon_H10b zenon_H15c zenon_Hbc zenon_H6c.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.95/8.14 apply (zenon_L333_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.95/8.14 apply (zenon_L24_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.95/8.14 apply (zenon_L274_); trivial.
% 7.95/8.14 apply (zenon_L57_); trivial.
% 7.95/8.14 (* end of lemma zenon_L484_ *)
% 7.95/8.14 assert (zenon_L485_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e2)) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> False).
% 7.95/8.14 do 0 intro. intros zenon_He7 zenon_H99 zenon_H93 zenon_H55 zenon_H41 zenon_H13e zenon_H5a zenon_H8f zenon_Hfc.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hb2 | zenon_intro zenon_He8 ].
% 7.95/8.14 apply (zenon_L78_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ].
% 7.95/8.14 apply (zenon_L79_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_He0 | zenon_intro zenon_He2 ].
% 7.95/8.14 apply (zenon_L190_); trivial.
% 7.95/8.14 apply (zenon_L191_); trivial.
% 7.95/8.14 (* end of lemma zenon_L485_ *)
% 7.95/8.14 assert (zenon_L486_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e2)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e0)) -> False).
% 7.95/8.14 do 0 intro. intros zenon_He7 zenon_H99 zenon_H93 zenon_Hc7 zenon_H40 zenon_H13e zenon_H5a zenon_H55 zenon_H47.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hb2 | zenon_intro zenon_He8 ].
% 7.95/8.14 apply (zenon_L78_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ].
% 7.95/8.14 apply (zenon_L144_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_He0 | zenon_intro zenon_He2 ].
% 7.95/8.14 apply (zenon_L190_); trivial.
% 7.95/8.14 apply (zenon_L308_); trivial.
% 7.95/8.14 (* end of lemma zenon_L486_ *)
% 7.95/8.14 assert (zenon_L487_ : (((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)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e2)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_H4e zenon_H1e zenon_H3d zenon_Hfc zenon_H8f zenon_H37 zenon_H43 zenon_He7 zenon_H99 zenon_H93 zenon_Hc7 zenon_H40 zenon_H13e zenon_H5a zenon_H55.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.95/8.14 apply (zenon_L9_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.95/8.14 apply (zenon_L485_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.95/8.14 apply (zenon_L11_); trivial.
% 7.95/8.14 apply (zenon_L486_); trivial.
% 7.95/8.14 (* end of lemma zenon_L487_ *)
% 7.95/8.14 assert (zenon_L488_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (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) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (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) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_H4e zenon_H20 zenon_H8f zenon_H5a zenon_H13e zenon_H55 zenon_H93 zenon_H99 zenon_He7 zenon_H12d zenon_Hfc zenon_H134 zenon_H9c zenon_H40 zenon_Hc7 zenon_H131 zenon_H137 zenon_H5d zenon_H5e.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.95/8.14 apply (zenon_L77_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.95/8.14 apply (zenon_L485_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.95/8.14 apply (zenon_L146_); trivial.
% 7.95/8.14 apply (zenon_L18_); trivial.
% 7.95/8.14 (* end of lemma zenon_L488_ *)
% 7.95/8.14 assert (zenon_L489_ : (~((op (op (e0) (e0)) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> False).
% 7.95/8.14 do 0 intro. intros zenon_H20c zenon_H1f.
% 7.95/8.14 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.95/8.14 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H24].
% 7.95/8.14 congruence.
% 7.95/8.14 exact (zenon_H24 zenon_H1f).
% 7.95/8.14 apply zenon_H1d. apply refl_equal.
% 7.95/8.14 (* end of lemma zenon_L489_ *)
% 7.95/8.14 assert (zenon_L490_ : ((op (e2) (e0)) = (e3)) -> ((op (e0) (e0)) = (e2)) -> (~((e3) = (op (op (e0) (e0)) (e0)))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_H8e zenon_H1f zenon_H1f3.
% 7.95/8.14 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H1f5 ].
% 7.95/8.14 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((e3) = (op (op (e0) (e0)) (e0)))).
% 7.95/8.14 intro zenon_D_pnotp.
% 7.95/8.14 apply zenon_H1f3.
% 7.95/8.14 rewrite <- zenon_D_pnotp.
% 7.95/8.14 exact zenon_H1f4.
% 7.95/8.14 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f5].
% 7.95/8.14 cut (((op (op (e0) (e0)) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 7.95/8.14 congruence.
% 7.95/8.14 cut (((op (e2) (e0)) = (e3)) = ((op (op (e0) (e0)) (e0)) = (e3))).
% 7.95/8.14 intro zenon_D_pnotp.
% 7.95/8.14 apply zenon_H1f6.
% 7.95/8.14 rewrite <- zenon_D_pnotp.
% 7.95/8.14 exact zenon_H8e.
% 7.95/8.14 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.95/8.14 cut (((op (e2) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H20d].
% 7.95/8.14 congruence.
% 7.95/8.14 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H1f5 ].
% 7.95/8.14 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((op (e2) (e0)) = (op (op (e0) (e0)) (e0)))).
% 7.95/8.14 intro zenon_D_pnotp.
% 7.95/8.14 apply zenon_H20d.
% 7.95/8.14 rewrite <- zenon_D_pnotp.
% 7.95/8.14 exact zenon_H1f4.
% 7.95/8.14 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f5].
% 7.95/8.14 cut (((op (op (e0) (e0)) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H20c].
% 7.95/8.14 congruence.
% 7.95/8.14 apply (zenon_L489_); trivial.
% 7.95/8.14 apply zenon_H1f5. apply refl_equal.
% 7.95/8.14 apply zenon_H1f5. apply refl_equal.
% 7.95/8.14 apply zenon_H69. apply refl_equal.
% 7.95/8.14 apply zenon_H1f5. apply refl_equal.
% 7.95/8.14 apply zenon_H1f5. apply refl_equal.
% 7.95/8.14 (* end of lemma zenon_L490_ *)
% 7.95/8.14 assert (zenon_L491_ : ((op (e2) (e2)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> ((op (e0) (e0)) = (e2)) -> False).
% 7.95/8.14 do 0 intro. intros zenon_H13e zenon_H8e zenon_H1f.
% 7.95/8.14 apply (zenon_notand_s _ _ ax12); [ zenon_intro zenon_H20f | zenon_intro zenon_H20e ].
% 7.95/8.14 elim (classic ((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1fb ].
% 7.95/8.14 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0)))) = ((e1) = (op (op (e0) (e0)) (op (e0) (e0))))).
% 7.95/8.14 intro zenon_D_pnotp.
% 7.95/8.14 apply zenon_H20f.
% 7.95/8.14 rewrite <- zenon_D_pnotp.
% 7.95/8.14 exact zenon_H1fa.
% 7.95/8.14 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1fb].
% 7.95/8.14 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H210].
% 7.95/8.14 congruence.
% 7.95/8.14 cut (((op (e2) (e2)) = (e1)) = ((op (op (e0) (e0)) (op (e0) (e0))) = (e1))).
% 7.95/8.14 intro zenon_D_pnotp.
% 7.95/8.14 apply zenon_H210.
% 7.95/8.14 rewrite <- zenon_D_pnotp.
% 7.95/8.14 exact zenon_H13e.
% 7.95/8.14 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.95/8.14 cut (((op (e2) (e2)) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H211].
% 7.95/8.14 congruence.
% 7.95/8.14 elim (classic ((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1fb ].
% 7.95/8.14 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0)))) = ((op (e2) (e2)) = (op (op (e0) (e0)) (op (e0) (e0))))).
% 7.95/8.14 intro zenon_D_pnotp.
% 7.95/8.14 apply zenon_H211.
% 7.95/8.14 rewrite <- zenon_D_pnotp.
% 7.95/8.14 exact zenon_H1fa.
% 7.95/8.14 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1fb].
% 7.95/8.14 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H212].
% 7.95/8.14 congruence.
% 7.95/8.14 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H24].
% 7.95/8.14 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H24].
% 7.95/8.14 congruence.
% 7.95/8.14 exact (zenon_H24 zenon_H1f).
% 7.95/8.14 exact (zenon_H24 zenon_H1f).
% 7.95/8.14 apply zenon_H1fb. apply refl_equal.
% 7.95/8.14 apply zenon_H1fb. apply refl_equal.
% 7.95/8.14 apply zenon_H57. apply refl_equal.
% 7.95/8.14 apply zenon_H1fb. apply refl_equal.
% 7.95/8.14 apply zenon_H1fb. apply refl_equal.
% 7.95/8.14 apply (zenon_notand_s _ _ zenon_H20e); [ zenon_intro zenon_H169 | zenon_intro zenon_H1f3 ].
% 7.95/8.14 apply zenon_H169. apply sym_equal. exact zenon_H1f.
% 7.95/8.14 apply (zenon_L490_); trivial.
% 7.95/8.14 (* end of lemma zenon_L491_ *)
% 7.95/8.14 assert (zenon_L492_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e2)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_H95 zenon_H12d zenon_H12b zenon_H9c zenon_H6c zenon_H89 zenon_H25 zenon_H67 zenon_Haa zenon_H1f zenon_H13e zenon_Hfc zenon_H128.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.14 apply (zenon_L243_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.14 apply (zenon_L204_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.14 apply (zenon_L491_); trivial.
% 7.95/8.14 apply (zenon_L137_); trivial.
% 7.95/8.14 (* end of lemma zenon_L492_ *)
% 7.95/8.14 assert (zenon_L493_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_H16b zenon_H86 zenon_H30 zenon_H6d zenon_Hca zenon_H13e zenon_H8f zenon_Hfc zenon_H49.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H8e | zenon_intro zenon_H16c ].
% 7.95/8.14 apply (zenon_L214_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H70 | zenon_intro zenon_H16d ].
% 7.95/8.14 apply (zenon_L62_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H15c | zenon_intro zenon_H14e ].
% 7.95/8.14 apply (zenon_L354_); trivial.
% 7.95/8.14 apply (zenon_L187_); trivial.
% 7.95/8.14 (* end of lemma zenon_L493_ *)
% 7.95/8.14 assert (zenon_L494_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_H162 zenon_H28 zenon_H49 zenon_H8f zenon_H13e zenon_Hca zenon_H30 zenon_H16b zenon_H12d zenon_H9c zenon_H6c zenon_Hef zenon_H16e zenon_H86 zenon_Haa zenon_Hfc zenon_H5e.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.95/8.14 apply (zenon_L213_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.95/8.14 apply (zenon_L493_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.95/8.14 apply (zenon_L344_); trivial.
% 7.95/8.14 apply (zenon_L109_); trivial.
% 7.95/8.14 (* end of lemma zenon_L494_ *)
% 7.95/8.14 assert (zenon_L495_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((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)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_Hcc zenon_H66 zenon_H2c zenon_Hc7 zenon_H9c zenon_Hca zenon_H1d0 zenon_H67 zenon_H111 zenon_Hef zenon_H128 zenon_Hfc zenon_H10e zenon_H89 zenon_H6c zenon_H1f zenon_H95 zenon_H12b zenon_H1cd.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H2d | zenon_intro zenon_Hcd ].
% 7.95/8.14 apply (zenon_L304_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hce ].
% 7.95/8.14 apply (zenon_L61_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 7.95/8.14 apply (zenon_L185_); trivial.
% 7.95/8.14 apply (zenon_L375_); trivial.
% 7.95/8.14 (* end of lemma zenon_L495_ *)
% 7.95/8.14 assert (zenon_L496_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (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) (e1)) = (e2)) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_Haa zenon_Hca zenon_Hc7 zenon_H2c zenon_Hcc zenon_H1cd zenon_H95 zenon_H1f zenon_H89 zenon_H10e zenon_Hfc zenon_H128 zenon_Hef zenon_H111 zenon_H67 zenon_H1d0 zenon_H6c zenon_H9c zenon_H12b zenon_H12d.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.95/8.14 apply (zenon_L495_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.95/8.14 apply (zenon_L375_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.95/8.14 apply (zenon_L43_); trivial.
% 7.95/8.14 apply (zenon_L140_); trivial.
% 7.95/8.14 (* end of lemma zenon_L496_ *)
% 7.95/8.14 assert (zenon_L497_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_H117 zenon_H111 zenon_H13e zenon_H38 zenon_H82 zenon_H81 zenon_Hf7 zenon_H43.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H37 | zenon_intro zenon_H119 ].
% 7.95/8.14 apply (zenon_L418_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H11a ].
% 7.95/8.14 apply (zenon_L390_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H83 | zenon_intro zenon_H115 ].
% 7.95/8.14 apply (zenon_L35_); trivial.
% 7.95/8.14 apply (zenon_L453_); trivial.
% 7.95/8.14 (* end of lemma zenon_L497_ *)
% 7.95/8.14 assert (zenon_L498_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e3)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_H1d0 zenon_H67 zenon_H6d zenon_Hef zenon_H10e zenon_H8e zenon_H117 zenon_H111 zenon_H13e zenon_H38 zenon_H82 zenon_H81 zenon_H43.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d1 ].
% 7.95/8.14 apply (zenon_L118_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H115 | zenon_intro zenon_H1d2 ].
% 7.95/8.14 apply (zenon_L205_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15c | zenon_intro zenon_Hf7 ].
% 7.95/8.14 apply (zenon_L200_); trivial.
% 7.95/8.14 apply (zenon_L497_); trivial.
% 7.95/8.14 (* end of lemma zenon_L498_ *)
% 7.95/8.14 assert (zenon_L499_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((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 (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 7.95/8.14 do 0 intro. intros zenon_H95 zenon_H5e zenon_Hfc zenon_Haa zenon_H16e zenon_H9c zenon_H12d zenon_H16b zenon_H30 zenon_Hca zenon_H8f zenon_H49 zenon_H28 zenon_H162 zenon_H89 zenon_H43 zenon_H81 zenon_H82 zenon_H38 zenon_H13e zenon_H111 zenon_H117 zenon_H10e zenon_Hef zenon_H6d zenon_H67 zenon_H1d0 zenon_H6c zenon_H93.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.14 apply (zenon_L494_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.14 apply (zenon_L37_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.14 apply (zenon_L498_); trivial.
% 7.95/8.14 apply (zenon_L39_); trivial.
% 7.95/8.14 (* end of lemma zenon_L499_ *)
% 7.95/8.14 assert (zenon_L500_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_Hc3 zenon_H49 zenon_Hfc zenon_H8f zenon_H13e zenon_Hca zenon_H30 zenon_H16b zenon_H2c zenon_H6d zenon_H67 zenon_H111 zenon_Hbc zenon_H6c.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.95/8.14 apply (zenon_L493_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.95/8.14 apply (zenon_L104_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.95/8.14 apply (zenon_L118_); trivial.
% 7.95/8.14 apply (zenon_L57_); trivial.
% 7.95/8.14 (* end of lemma zenon_L500_ *)
% 7.95/8.14 assert (zenon_L501_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_Hc3 zenon_H5e zenon_Hfc zenon_Haa zenon_H16e zenon_Hef zenon_H6c zenon_H9c zenon_H12d zenon_H16b zenon_H30 zenon_Hca zenon_H13e zenon_H49 zenon_H28 zenon_H162 zenon_H2c zenon_H6d zenon_H67 zenon_H111 zenon_He3 zenon_H8f.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.95/8.14 apply (zenon_L494_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.95/8.14 apply (zenon_L104_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.95/8.14 apply (zenon_L118_); trivial.
% 7.95/8.14 apply (zenon_L89_); trivial.
% 7.95/8.14 (* end of lemma zenon_L501_ *)
% 7.95/8.14 assert (zenon_L502_ : (((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 (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_H15f zenon_Hec zenon_H12b zenon_H128 zenon_H1cd zenon_Hcc zenon_H20 zenon_H29 zenon_H17c zenon_H95 zenon_H89 zenon_H43 zenon_H81 zenon_H38 zenon_H117 zenon_H10e zenon_H1d0 zenon_H33 zenon_H124 zenon_H55 zenon_Hc3 zenon_H5e zenon_Hfc zenon_Haa zenon_H16e zenon_Hef zenon_H6c zenon_H9c zenon_H12d zenon_H16b zenon_H30 zenon_Hca zenon_H13e zenon_H49 zenon_H28 zenon_H162 zenon_H2c zenon_H6d zenon_H67 zenon_H111 zenon_H8f.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 7.95/8.14 apply (zenon_L337_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.95/8.14 apply (zenon_L496_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.95/8.14 apply (zenon_L296_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.95/8.14 apply (zenon_L496_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.95/8.14 apply (zenon_L17_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.95/8.14 apply (zenon_L238_); trivial.
% 7.95/8.14 apply (zenon_L499_); trivial.
% 7.95/8.14 apply (zenon_L500_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 7.95/8.14 apply (zenon_L322_); trivial.
% 7.95/8.14 apply (zenon_L501_); trivial.
% 7.95/8.14 (* end of lemma zenon_L502_ *)
% 7.95/8.14 assert (zenon_L503_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((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) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((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 (e1) (e0)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((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 (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (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) (e3)) = (e2))) -> (~((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)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e3)) -> False).
% 7.95/8.14 do 0 intro. intros zenon_H2c zenon_H162 zenon_H49 zenon_Hca zenon_H16b zenon_H12d zenon_H9c zenon_H16e zenon_Haa zenon_H5e zenon_Hc3 zenon_H124 zenon_H33 zenon_H17c zenon_H20 zenon_Hcc zenon_Hec zenon_H15f zenon_H113 zenon_H13e zenon_H1e6 zenon_H29 zenon_H28 zenon_H6d zenon_Hef zenon_H81 zenon_H82 zenon_H11b zenon_H12b zenon_H95 zenon_H8f zenon_H89 zenon_H128 zenon_H55 zenon_H1cd zenon_Hfc zenon_Ha7 zenon_H6c zenon_H67 zenon_H10e zenon_H1c7 zenon_H5a zenon_H38 zenon_H18e zenon_H1d0 zenon_H10b zenon_H13a zenon_H43 zenon_H117 zenon_H93 zenon_H3d zenon_H30 zenon_H8e.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H111 | zenon_intro zenon_H11c ].
% 7.95/8.14 apply (zenon_L502_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H37 | zenon_intro zenon_H11d ].
% 7.95/8.14 apply (zenon_L119_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H36 | zenon_intro zenon_H44 ].
% 7.95/8.14 apply (zenon_L155_); trivial.
% 7.95/8.14 apply (zenon_L396_); trivial.
% 7.95/8.14 (* end of lemma zenon_L503_ *)
% 7.95/8.14 assert (zenon_L504_ : (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((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)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (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) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((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 (e1) (e0)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (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 (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (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) (e3)) = (e2))) -> (~((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)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_H5e zenon_Hfc zenon_Haa zenon_H67 zenon_H25 zenon_Hef zenon_H6c zenon_H9c zenon_H12d zenon_H2c zenon_H162 zenon_H49 zenon_Hca zenon_H16b zenon_H16e zenon_Hc3 zenon_H124 zenon_H33 zenon_H17c zenon_H20 zenon_Hcc zenon_Hec zenon_H15f zenon_H113 zenon_H13e zenon_H1e6 zenon_H29 zenon_H28 zenon_H81 zenon_H82 zenon_H11b zenon_H95 zenon_H8f zenon_H89 zenon_H55 zenon_H1cd zenon_Ha7 zenon_H10e zenon_H1c7 zenon_H5a zenon_H38 zenon_H18e zenon_H1d0 zenon_H10b zenon_H13a zenon_H43 zenon_H117 zenon_H93 zenon_H3d zenon_H30 zenon_H12b zenon_H128.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.14 apply (zenon_L494_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.14 apply (zenon_L204_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.95/8.14 apply (zenon_L204_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.95/8.14 apply (zenon_L503_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.95/8.14 apply (zenon_L206_); trivial.
% 7.95/8.14 apply (zenon_L109_); trivial.
% 7.95/8.14 apply (zenon_L138_); trivial.
% 7.95/8.14 (* end of lemma zenon_L504_ *)
% 7.95/8.14 assert (zenon_L505_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_Hec zenon_H67 zenon_H13e zenon_Haa zenon_H25 zenon_H89 zenon_H6c zenon_H12b zenon_H12d zenon_H95 zenon_H99 zenon_Hbb zenon_H17c zenon_H9c zenon_H3e zenon_H20.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.14 apply (zenon_L243_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.14 apply (zenon_L204_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.14 apply (zenon_L491_); trivial.
% 7.95/8.14 apply (zenon_L313_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.95/8.14 apply (zenon_L116_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.95/8.14 apply (zenon_L238_); trivial.
% 7.95/8.14 apply (zenon_L77_); trivial.
% 7.95/8.14 (* end of lemma zenon_L505_ *)
% 7.95/8.14 assert (zenon_L506_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((e2) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e2)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_H4e zenon_H20 zenon_H9c zenon_H17c zenon_Hbb zenon_H95 zenon_H12d zenon_H12b zenon_H6c zenon_H89 zenon_H25 zenon_Haa zenon_H67 zenon_Hec zenon_Hfc zenon_H8f zenon_H37 zenon_H43 zenon_He7 zenon_H99 zenon_H93 zenon_Hc7 zenon_H40 zenon_H13e zenon_H5a zenon_H55.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.95/8.14 apply (zenon_L505_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.95/8.14 apply (zenon_L485_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.95/8.14 apply (zenon_L11_); trivial.
% 7.95/8.14 apply (zenon_L486_); trivial.
% 7.95/8.14 (* end of lemma zenon_L506_ *)
% 7.95/8.14 assert (zenon_L507_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_H95 zenon_H6c zenon_H89 zenon_H6d zenon_H1f zenon_H13e zenon_H12b zenon_H128.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.14 apply (zenon_L243_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.14 apply (zenon_L37_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.14 apply (zenon_L491_); trivial.
% 7.95/8.14 apply (zenon_L138_); trivial.
% 7.95/8.14 (* end of lemma zenon_L507_ *)
% 7.95/8.14 assert (zenon_L508_ : (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> (~((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 (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((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) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (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 (e2) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 7.95/8.14 do 0 intro. intros zenon_H30 zenon_H3d zenon_H117 zenon_H43 zenon_H13a zenon_H10b zenon_H1d0 zenon_H18e zenon_H38 zenon_H5a zenon_H1c7 zenon_H10e zenon_H67 zenon_Ha7 zenon_Hfc zenon_H1cd zenon_H55 zenon_H128 zenon_H89 zenon_H8f zenon_H95 zenon_H12b zenon_H11b zenon_H82 zenon_H81 zenon_Hef zenon_H6d zenon_H28 zenon_H29 zenon_H1e6 zenon_H13e zenon_H113 zenon_H15f zenon_Hec zenon_Hcc zenon_H20 zenon_H17c zenon_H33 zenon_H124 zenon_Hc3 zenon_H5e zenon_Haa zenon_H16e zenon_H9c zenon_H12d zenon_H16b zenon_Hca zenon_H49 zenon_H162 zenon_H2c zenon_H6c zenon_H93.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.14 apply (zenon_L493_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.14 apply (zenon_L37_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.14 apply (zenon_L503_); trivial.
% 7.95/8.14 apply (zenon_L39_); trivial.
% 7.95/8.14 (* end of lemma zenon_L508_ *)
% 7.95/8.14 assert (zenon_L509_ : (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> (~((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 (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((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) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (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 (e2) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_H99 zenon_Hbb zenon_H30 zenon_H3d zenon_H117 zenon_H43 zenon_H13a zenon_H10b zenon_H1d0 zenon_H18e zenon_H38 zenon_H5a zenon_H1c7 zenon_H10e zenon_H67 zenon_Ha7 zenon_Hfc zenon_H1cd zenon_H55 zenon_H128 zenon_H89 zenon_H8f zenon_H95 zenon_H12b zenon_H11b zenon_H82 zenon_H81 zenon_Hef zenon_H6d zenon_H28 zenon_H29 zenon_H1e6 zenon_H13e zenon_H113 zenon_H15f zenon_Hec zenon_Hcc zenon_H20 zenon_H17c zenon_H33 zenon_H124 zenon_Hc3 zenon_H5e zenon_Haa zenon_H16e zenon_H9c zenon_H12d zenon_H16b zenon_Hca zenon_H49 zenon_H162 zenon_H2c zenon_H6c.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.95/8.14 apply (zenon_L507_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.95/8.14 apply (zenon_L116_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.95/8.14 apply (zenon_L238_); trivial.
% 7.95/8.14 apply (zenon_L508_); trivial.
% 7.95/8.14 (* end of lemma zenon_L509_ *)
% 7.95/8.14 assert (zenon_L510_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_H11b zenon_H6c zenon_Hbc zenon_H67 zenon_H6d zenon_H2c zenon_H16b zenon_H30 zenon_Hca zenon_H8f zenon_H49 zenon_Hc3 zenon_H29 zenon_H113 zenon_H55 zenon_H13e zenon_H137 zenon_H131 zenon_Hc7 zenon_H40 zenon_H9c zenon_H134 zenon_Hfc zenon_H12d.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H111 | zenon_intro zenon_H11c ].
% 7.95/8.14 apply (zenon_L500_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H37 | zenon_intro zenon_H11d ].
% 7.95/8.14 apply (zenon_L119_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H36 | zenon_intro zenon_H44 ].
% 7.95/8.14 apply (zenon_L155_); trivial.
% 7.95/8.14 apply (zenon_L146_); trivial.
% 7.95/8.14 (* end of lemma zenon_L510_ *)
% 7.95/8.14 assert (zenon_L511_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (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) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((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) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (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 (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (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) (e3)) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_H162 zenon_H16e zenon_Haa zenon_H5e zenon_H124 zenon_H33 zenon_H17c zenon_H20 zenon_Hcc zenon_Hec zenon_H15f zenon_H1e6 zenon_H28 zenon_Hef zenon_H81 zenon_H12b zenon_H95 zenon_H89 zenon_H128 zenon_H1cd zenon_Ha7 zenon_H10e zenon_H1c7 zenon_H5a zenon_H38 zenon_H18e zenon_H1d0 zenon_H10b zenon_H13a zenon_H43 zenon_H117 zenon_H3d zenon_Hbb zenon_H99 zenon_H11b zenon_H6c zenon_H67 zenon_H6d zenon_H2c zenon_H16b zenon_H30 zenon_Hca zenon_H8f zenon_H49 zenon_Hc3 zenon_H29 zenon_H113 zenon_H55 zenon_H13e zenon_H137 zenon_H131 zenon_Hc7 zenon_H40 zenon_H9c zenon_H134 zenon_Hfc zenon_H12d.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.95/8.14 apply (zenon_L507_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.95/8.14 apply (zenon_L296_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.95/8.14 apply (zenon_L509_); trivial.
% 7.95/8.14 apply (zenon_L510_); trivial.
% 7.95/8.14 (* end of lemma zenon_L511_ *)
% 7.95/8.14 assert (zenon_L512_ : ((op (e0) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (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)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((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 (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_H25 zenon_H12d zenon_H134 zenon_H9c zenon_H40 zenon_Hc7 zenon_H131 zenon_H137 zenon_H13e zenon_H55 zenon_H113 zenon_H29 zenon_Hc3 zenon_H49 zenon_H8f zenon_Hca zenon_H30 zenon_H16b zenon_H2c zenon_H67 zenon_H6c zenon_H11b zenon_H99 zenon_Hbb zenon_H3d zenon_H117 zenon_H43 zenon_H13a zenon_H10b zenon_H1d0 zenon_H18e zenon_H38 zenon_H5a zenon_H1c7 zenon_H10e zenon_Ha7 zenon_H1cd zenon_H128 zenon_H89 zenon_H95 zenon_H12b zenon_Hef zenon_H28 zenon_H1e6 zenon_H15f zenon_Hec zenon_Hcc zenon_H20 zenon_H17c zenon_H33 zenon_H124 zenon_Haa zenon_H16e zenon_H162 zenon_Hb0 zenon_H81 zenon_Hfc zenon_H5e.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.95/8.14 apply (zenon_L204_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.95/8.14 apply (zenon_L511_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.95/8.14 apply (zenon_L120_); trivial.
% 7.95/8.14 apply (zenon_L109_); trivial.
% 7.95/8.14 (* end of lemma zenon_L512_ *)
% 7.95/8.14 assert (zenon_L513_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_H95 zenon_Hb0 zenon_Haf zenon_H12d zenon_H9c zenon_H6c zenon_H89 zenon_H25 zenon_H67 zenon_Haa zenon_H1f zenon_H13e zenon_H12b zenon_H128.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.14 apply (zenon_L49_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.14 apply (zenon_L204_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.14 apply (zenon_L491_); trivial.
% 7.95/8.14 apply (zenon_L138_); trivial.
% 7.95/8.14 (* end of lemma zenon_L513_ *)
% 7.95/8.14 assert (zenon_L514_ : (((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) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> ((op (e2) (e2)) = (e1)) -> ((op (e0) (e0)) = (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) (e0)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 7.95/8.14 do 0 intro. intros zenon_Hc3 zenon_H128 zenon_H12b zenon_H13e zenon_H1f zenon_Haa zenon_H67 zenon_H25 zenon_H89 zenon_H6c zenon_H9c zenon_H12d zenon_Haf zenon_H95 zenon_He3 zenon_H8f.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.95/8.14 apply (zenon_L243_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.95/8.14 apply (zenon_L24_); trivial.
% 7.95/8.14 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.95/8.14 apply (zenon_L513_); trivial.
% 7.95/8.14 apply (zenon_L89_); trivial.
% 7.95/8.14 (* end of lemma zenon_L514_ *)
% 7.95/8.14 assert (zenon_L515_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((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 (e2) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e0)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e2)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> (~((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 (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((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 (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (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 (e2) (e3)) = (op (e3) (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)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H184 zenon_H137 zenon_H131 zenon_H40 zenon_H134 zenon_Hbb zenon_H99 zenon_H25 zenon_H8e zenon_H30 zenon_H3d zenon_H93 zenon_H117 zenon_H43 zenon_H13a zenon_H10b zenon_H1d0 zenon_H18e zenon_H38 zenon_H5a zenon_H1c7 zenon_H10e zenon_H67 zenon_H6c zenon_Ha7 zenon_H1cd zenon_H55 zenon_H128 zenon_H89 zenon_H8f zenon_H95 zenon_H12b zenon_H11b zenon_H82 zenon_Hef zenon_H28 zenon_H29 zenon_H1e6 zenon_H13e zenon_H113 zenon_H15f zenon_Hec zenon_Hcc zenon_H20 zenon_H17c zenon_H33 zenon_H124 zenon_Hc3 zenon_Haa zenon_H16e zenon_H9c zenon_H12d zenon_H16b zenon_Hca zenon_H49 zenon_H162 zenon_H2c zenon_Hb0 zenon_H81 zenon_Hfc zenon_H5e.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H185 ].
% 7.95/8.15 apply (zenon_L512_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H186 ].
% 7.95/8.15 apply (zenon_L221_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hde ].
% 7.95/8.15 apply (zenon_L97_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.95/8.15 apply (zenon_L98_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.95/8.15 apply (zenon_L503_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.95/8.15 apply (zenon_L120_); trivial.
% 7.95/8.15 apply (zenon_L109_); trivial.
% 7.95/8.15 (* end of lemma zenon_L515_ *)
% 7.95/8.15 assert (zenon_L516_ : (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e1)) = (e0)) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H17c zenon_H31 zenon_H34.
% 7.95/8.15 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e2) (e1)))).
% 7.95/8.15 intro zenon_D_pnotp.
% 7.95/8.15 apply zenon_H17c.
% 7.95/8.15 rewrite <- zenon_D_pnotp.
% 7.95/8.15 exact zenon_H31.
% 7.95/8.15 cut (((e0) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H35].
% 7.95/8.15 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H167].
% 7.95/8.15 congruence.
% 7.95/8.15 apply zenon_H167. apply refl_equal.
% 7.95/8.15 apply zenon_H35. apply sym_equal. exact zenon_H34.
% 7.95/8.15 (* end of lemma zenon_L516_ *)
% 7.95/8.15 assert (zenon_L517_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_Hcc zenon_H41 zenon_H173 zenon_H2c zenon_Hc7 zenon_H9c zenon_Hca zenon_H88 zenon_H89.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H2d | zenon_intro zenon_Hcd ].
% 7.95/8.15 apply (zenon_L330_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hce ].
% 7.95/8.15 apply (zenon_L61_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 7.95/8.15 apply (zenon_L185_); trivial.
% 7.95/8.15 apply (zenon_L37_); trivial.
% 7.95/8.15 (* end of lemma zenon_L517_ *)
% 7.95/8.15 assert (zenon_L518_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((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)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e1))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H184 zenon_H88 zenon_Hca zenon_H2c zenon_H173 zenon_Hcc zenon_H89 zenon_Hbb zenon_H9c zenon_H99 zenon_H41 zenon_H55.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H185 ].
% 7.95/8.15 apply (zenon_L517_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H186 ].
% 7.95/8.15 apply (zenon_L221_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hde ].
% 7.95/8.15 apply (zenon_L97_); trivial.
% 7.95/8.15 apply (zenon_L79_); trivial.
% 7.95/8.15 (* end of lemma zenon_L518_ *)
% 7.95/8.15 assert (zenon_L519_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e0)) = (e0)) -> (~((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)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((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)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H213 zenon_H12d zenon_H12b zenon_H6c zenon_H67 zenon_Haa zenon_Heb zenon_H31 zenon_H17c zenon_H184 zenon_H88 zenon_Hca zenon_H2c zenon_H173 zenon_Hcc zenon_H89 zenon_Hbb zenon_H9c zenon_H99 zenon_H55.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H25 | zenon_intro zenon_H214 ].
% 7.95/8.15 apply (zenon_L204_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H2d | zenon_intro zenon_H215 ].
% 7.95/8.15 exact (zenon_Heb zenon_H2d).
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H34 | zenon_intro zenon_H41 ].
% 7.95/8.15 apply (zenon_L516_); trivial.
% 7.95/8.15 apply (zenon_L518_); trivial.
% 7.95/8.15 (* end of lemma zenon_L519_ *)
% 7.95/8.15 assert (zenon_L520_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> ((op (e1) (e0)) = (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) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (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 (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H95 zenon_H5e zenon_Hfc zenon_H16e zenon_Hef zenon_H16b zenon_H30 zenon_H13e zenon_H8f zenon_H49 zenon_H28 zenon_H162 zenon_H55 zenon_H99 zenon_H9c zenon_Hbb zenon_H89 zenon_Hcc zenon_H173 zenon_H2c zenon_Hca zenon_H184 zenon_H17c zenon_Heb zenon_Haa zenon_H12b zenon_H12d zenon_H213 zenon_H67 zenon_H31 zenon_H6c zenon_H93.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.15 apply (zenon_L494_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.15 apply (zenon_L519_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.15 apply (zenon_L123_); trivial.
% 7.95/8.15 apply (zenon_L39_); trivial.
% 7.95/8.15 (* end of lemma zenon_L520_ *)
% 7.95/8.15 assert (zenon_L521_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (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 (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (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 (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H4e zenon_H20 zenon_H17c zenon_Hbb zenon_Haa zenon_Hcc zenon_H173 zenon_Hca zenon_H1d4 zenon_H1cd zenon_H12b zenon_H95 zenon_H89 zenon_H10e zenon_H128 zenon_Hef zenon_H111 zenon_H67 zenon_H1d0 zenon_H6c zenon_Hec zenon_H8f zenon_H12d zenon_Hfc zenon_H134 zenon_H9c zenon_H131 zenon_H137 zenon_He7 zenon_H99 zenon_H93 zenon_Hc7 zenon_H40 zenon_H13e zenon_H5a zenon_H55.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.95/8.15 apply (zenon_L379_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.95/8.15 apply (zenon_L485_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.95/8.15 apply (zenon_L146_); trivial.
% 7.95/8.15 apply (zenon_L486_); trivial.
% 7.95/8.15 (* end of lemma zenon_L521_ *)
% 7.95/8.15 assert (zenon_L522_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_Hcc zenon_H34 zenon_Hde zenon_H173 zenon_H9c zenon_Hca zenon_H88 zenon_H89.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H2d | zenon_intro zenon_Hcd ].
% 7.95/8.15 apply (zenon_L293_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hce ].
% 7.95/8.15 apply (zenon_L306_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 7.95/8.15 apply (zenon_L185_); trivial.
% 7.95/8.15 apply (zenon_L37_); trivial.
% 7.95/8.15 (* end of lemma zenon_L522_ *)
% 7.95/8.15 assert (zenon_L523_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e2) = (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) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H184 zenon_H55 zenon_H5a zenon_H13e zenon_H40 zenon_H93 zenon_He7 zenon_H137 zenon_H131 zenon_H134 zenon_Hfc zenon_H12d zenon_H8f zenon_Hec zenon_H6c zenon_H1d0 zenon_H67 zenon_H111 zenon_Hef zenon_H128 zenon_H10e zenon_H95 zenon_H12b zenon_H1cd zenon_H1d4 zenon_Haa zenon_H17c zenon_H20 zenon_H4e zenon_Hbb zenon_H99 zenon_Hcc zenon_H34 zenon_H173 zenon_H9c zenon_Hca zenon_H88 zenon_H89.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H185 ].
% 7.95/8.15 apply (zenon_L521_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H186 ].
% 7.95/8.15 apply (zenon_L221_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hde ].
% 7.95/8.15 apply (zenon_L97_); trivial.
% 7.95/8.15 apply (zenon_L522_); trivial.
% 7.95/8.15 (* end of lemma zenon_L523_ *)
% 7.95/8.15 assert (zenon_L524_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (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) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> ((op (e2) (e2)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((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)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_Hc3 zenon_H5e zenon_H16b zenon_H30 zenon_H49 zenon_H28 zenon_H162 zenon_H128 zenon_H12b zenon_H13e zenon_H1f zenon_H213 zenon_H12d zenon_Haa zenon_Heb zenon_H1d0 zenon_Hef zenon_Hfc zenon_H10e zenon_H6c zenon_H95 zenon_H1cd zenon_H184 zenon_Hca zenon_H2c zenon_H173 zenon_Hcc zenon_H89 zenon_Hbb zenon_H9c zenon_H99 zenon_H55 zenon_H16e zenon_H67 zenon_H111 zenon_He3 zenon_H8f.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.95/8.15 apply (zenon_L494_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.15 apply (zenon_L217_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H25 | zenon_intro zenon_H214 ].
% 7.95/8.15 apply (zenon_L204_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H2d | zenon_intro zenon_H215 ].
% 7.95/8.15 exact (zenon_Heb zenon_H2d).
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H34 | zenon_intro zenon_H41 ].
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H185 ].
% 7.95/8.15 apply (zenon_L495_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H186 ].
% 7.95/8.15 apply (zenon_L221_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hde ].
% 7.95/8.15 apply (zenon_L97_); trivial.
% 7.95/8.15 apply (zenon_L522_); trivial.
% 7.95/8.15 apply (zenon_L518_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.15 apply (zenon_L491_); trivial.
% 7.95/8.15 apply (zenon_L138_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.95/8.15 apply (zenon_L118_); trivial.
% 7.95/8.15 apply (zenon_L89_); trivial.
% 7.95/8.15 (* end of lemma zenon_L524_ *)
% 7.95/8.15 assert (zenon_L525_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> ((op (e1) (e0)) = (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) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (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 (e1) (e1)) = (e0))) -> ((op (e0) (e1)) = (e3)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H95 zenon_H16e zenon_H55 zenon_H99 zenon_H9c zenon_Hbb zenon_H89 zenon_Hcc zenon_H173 zenon_H2c zenon_Hca zenon_H184 zenon_H17c zenon_Heb zenon_H66 zenon_H213 zenon_H67 zenon_H31 zenon_Hfc zenon_H128.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.15 apply (zenon_L217_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H25 | zenon_intro zenon_H214 ].
% 7.95/8.15 apply (zenon_L24_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H2d | zenon_intro zenon_H215 ].
% 7.95/8.15 exact (zenon_Heb zenon_H2d).
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H34 | zenon_intro zenon_H41 ].
% 7.95/8.15 apply (zenon_L516_); trivial.
% 7.95/8.15 apply (zenon_L518_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.15 apply (zenon_L123_); trivial.
% 7.95/8.15 apply (zenon_L137_); trivial.
% 7.95/8.15 (* end of lemma zenon_L525_ *)
% 7.95/8.15 assert (zenon_L526_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (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 (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((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) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (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)))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (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)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H61 zenon_H8e zenon_H30 zenon_H117 zenon_H10b zenon_H1d0 zenon_H18e zenon_H38 zenon_H1c7 zenon_H10e zenon_H67 zenon_H6c zenon_Ha7 zenon_H1cd zenon_H128 zenon_H89 zenon_H95 zenon_H12b zenon_H11b zenon_Hef zenon_H6d zenon_H28 zenon_H1e6 zenon_H113 zenon_H15f zenon_Hec zenon_Hcc zenon_H20 zenon_H17c zenon_H33 zenon_H124 zenon_Hc3 zenon_H5e zenon_Haa zenon_H16e zenon_H12d zenon_H16b zenon_H162 zenon_H2c zenon_Heb zenon_H8f zenon_H5a zenon_H13e zenon_H4e zenon_H1e zenon_H3d zenon_H55 zenon_H43 zenon_H93 zenon_H99 zenon_He7 zenon_H81 zenon_H82 zenon_Hca zenon_H9c zenon_Hbb zenon_H11e zenon_H150 zenon_H64 zenon_He3 zenon_Hbd zenon_H13a zenon_Hfc zenon_H49.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.95/8.15 apply (zenon_L503_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.95/8.15 exact (zenon_Heb zenon_H2d).
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.95/8.15 apply (zenon_L192_); trivial.
% 7.95/8.15 apply (zenon_L193_); trivial.
% 7.95/8.15 (* end of lemma zenon_L526_ *)
% 7.95/8.15 assert (zenon_L527_ : (((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 (e3) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H11b zenon_Haf zenon_H1e zenon_H5e zenon_H5d zenon_H43 zenon_He7 zenon_H99 zenon_H93 zenon_H5a zenon_H8f zenon_Hec zenon_H67 zenon_Haa zenon_H25 zenon_H89 zenon_H6c zenon_H12b zenon_H95 zenon_Hbb zenon_H17c zenon_H20 zenon_H4e zenon_H55 zenon_H13e zenon_H137 zenon_H131 zenon_Hc7 zenon_H40 zenon_H9c zenon_H134 zenon_Hfc zenon_H12d.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H111 | zenon_intro zenon_H11c ].
% 7.95/8.15 apply (zenon_L318_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H37 | zenon_intro zenon_H11d ].
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.95/8.15 apply (zenon_L505_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.95/8.15 apply (zenon_L485_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.95/8.15 apply (zenon_L11_); trivial.
% 7.95/8.15 apply (zenon_L18_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H36 | zenon_intro zenon_H44 ].
% 7.95/8.15 apply (zenon_L155_); trivial.
% 7.95/8.15 apply (zenon_L146_); trivial.
% 7.95/8.15 (* end of lemma zenon_L527_ *)
% 7.95/8.15 assert (zenon_L528_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H95 zenon_H49 zenon_H8f zenon_H13e zenon_Hca zenon_H30 zenon_H16b zenon_H89 zenon_H6d zenon_H67 zenon_H31 zenon_Hfc zenon_H128.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.15 apply (zenon_L493_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.15 apply (zenon_L37_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.15 apply (zenon_L123_); trivial.
% 7.95/8.15 apply (zenon_L137_); trivial.
% 7.95/8.15 (* end of lemma zenon_L528_ *)
% 7.95/8.15 assert (zenon_L529_ : ((op (e3) (e1)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H7f zenon_H66 zenon_H40.
% 7.95/8.15 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H19e | zenon_intro zenon_H132 ].
% 7.95/8.15 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e0) (e1)) = (op (e3) (e1)))).
% 7.95/8.15 intro zenon_D_pnotp.
% 7.95/8.15 apply zenon_H40.
% 7.95/8.15 rewrite <- zenon_D_pnotp.
% 7.95/8.15 exact zenon_H19e.
% 7.95/8.15 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H132].
% 7.95/8.15 cut (((op (e3) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H216].
% 7.95/8.15 congruence.
% 7.95/8.15 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e0) (e1)))).
% 7.95/8.15 intro zenon_D_pnotp.
% 7.95/8.15 apply zenon_H216.
% 7.95/8.15 rewrite <- zenon_D_pnotp.
% 7.95/8.15 exact zenon_H7f.
% 7.95/8.15 cut (((e3) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hf6].
% 7.95/8.15 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H132].
% 7.95/8.15 congruence.
% 7.95/8.15 apply zenon_H132. apply refl_equal.
% 7.95/8.15 apply zenon_Hf6. apply sym_equal. exact zenon_H66.
% 7.95/8.15 apply zenon_H132. apply refl_equal.
% 7.95/8.15 apply zenon_H132. apply refl_equal.
% 7.95/8.15 (* end of lemma zenon_L529_ *)
% 7.95/8.15 assert (zenon_L530_ : (((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) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e1)) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H4e zenon_H1e zenon_H3d zenon_H7f zenon_H67 zenon_H37 zenon_H43 zenon_H55 zenon_He2.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.95/8.15 apply (zenon_L9_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.95/8.15 apply (zenon_L31_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.95/8.15 apply (zenon_L11_); trivial.
% 7.95/8.15 apply (zenon_L308_); trivial.
% 7.95/8.15 (* end of lemma zenon_L530_ *)
% 7.95/8.15 assert (zenon_L531_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> ((op (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 (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H11b zenon_He2 zenon_H55 zenon_H67 zenon_H7f zenon_H3d zenon_H1e zenon_H4e zenon_H20 zenon_H1ca zenon_Hb0 zenon_H113 zenon_Hbb zenon_H99 zenon_H117 zenon_H43 zenon_H38 zenon_H209 zenon_H127 zenon_Hf8 zenon_H10b zenon_H9f zenon_H81.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H111 | zenon_intro zenon_H11c ].
% 7.95/8.15 exact (zenon_H127 zenon_H111).
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H37 | zenon_intro zenon_H11d ].
% 7.95/8.15 apply (zenon_L530_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H36 | zenon_intro zenon_H44 ].
% 7.95/8.15 apply (zenon_L44_); trivial.
% 7.95/8.15 apply (zenon_L468_); trivial.
% 7.95/8.15 (* end of lemma zenon_L531_ *)
% 7.95/8.15 assert (zenon_L532_ : (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H99 zenon_H195 zenon_He2.
% 7.95/8.15 cut (((op (e3) (e3)) = (e2)) = ((e1) = (e2))).
% 7.95/8.15 intro zenon_D_pnotp.
% 7.95/8.15 apply zenon_H99.
% 7.95/8.15 rewrite <- zenon_D_pnotp.
% 7.95/8.15 exact zenon_H195.
% 7.95/8.15 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.95/8.15 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H153].
% 7.95/8.15 congruence.
% 7.95/8.15 exact (zenon_H153 zenon_He2).
% 7.95/8.15 apply zenon_H22. apply refl_equal.
% 7.95/8.15 (* end of lemma zenon_L532_ *)
% 7.95/8.15 assert (zenon_L533_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H197 zenon_H1f zenon_H3d zenon_H7f zenon_H6c zenon_H9f zenon_H5a zenon_H99 zenon_He2.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H93 | zenon_intro zenon_H198 ].
% 7.95/8.15 apply (zenon_L289_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hdc | zenon_intro zenon_H199 ].
% 7.95/8.15 apply (zenon_L73_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H148 | zenon_intro zenon_H195 ].
% 7.95/8.15 apply (zenon_L178_); trivial.
% 7.95/8.15 apply (zenon_L532_); trivial.
% 7.95/8.15 (* end of lemma zenon_L533_ *)
% 7.95/8.15 assert (zenon_L534_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> ((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H11b zenon_H127 zenon_He2 zenon_H55 zenon_H67 zenon_H7f zenon_H3d zenon_H1e zenon_H4e zenon_H20 zenon_H117 zenon_H43 zenon_Hcf zenon_H38 zenon_H9f zenon_H81 zenon_Hb0.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H111 | zenon_intro zenon_H11c ].
% 7.95/8.15 exact (zenon_H127 zenon_H111).
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H37 | zenon_intro zenon_H11d ].
% 7.95/8.15 apply (zenon_L530_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H36 | zenon_intro zenon_H44 ].
% 7.95/8.15 apply (zenon_L44_); trivial.
% 7.95/8.15 apply (zenon_L133_); trivial.
% 7.95/8.15 (* end of lemma zenon_L534_ *)
% 7.95/8.15 assert (zenon_L535_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((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 (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) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_Hc3 zenon_H40 zenon_H81 zenon_H9f zenon_H38 zenon_Hcf zenon_H43 zenon_H117 zenon_H20 zenon_H4e zenon_H1e zenon_H3d zenon_H7f zenon_H67 zenon_H55 zenon_He2 zenon_H127 zenon_H11b zenon_Hbc zenon_H6c.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.95/8.15 apply (zenon_L36_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.95/8.15 apply (zenon_L529_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.95/8.15 apply (zenon_L534_); trivial.
% 7.95/8.15 apply (zenon_L57_); trivial.
% 7.95/8.15 (* end of lemma zenon_L535_ *)
% 7.95/8.15 assert (zenon_L536_ : (((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) (e1)) = (e0)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((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 (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) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e2) = (e3))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H124 zenon_H5a zenon_H197 zenon_H25 zenon_H99 zenon_Hc3 zenon_H40 zenon_H81 zenon_H9f zenon_H38 zenon_Hcf zenon_H43 zenon_H117 zenon_H20 zenon_H4e zenon_H1e zenon_H3d zenon_H7f zenon_H67 zenon_H55 zenon_He2 zenon_H127 zenon_H11b zenon_H6c.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.95/8.15 apply (zenon_L533_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.95/8.15 apply (zenon_L3_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.95/8.15 apply (zenon_L65_); trivial.
% 7.95/8.15 apply (zenon_L535_); trivial.
% 7.95/8.15 (* end of lemma zenon_L536_ *)
% 7.95/8.15 assert (zenon_L537_ : (~((op (op (e0) (e0)) (op (e0) (e0))) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H217 zenon_H86.
% 7.95/8.15 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 7.95/8.15 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 7.95/8.15 congruence.
% 7.95/8.15 exact (zenon_H87 zenon_H86).
% 7.95/8.15 exact (zenon_H87 zenon_H86).
% 7.95/8.15 (* end of lemma zenon_L537_ *)
% 7.95/8.15 assert (zenon_L538_ : (~((op (op (e0) (e0)) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H218 zenon_H86.
% 7.95/8.15 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.95/8.15 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 7.95/8.15 congruence.
% 7.95/8.15 exact (zenon_H87 zenon_H86).
% 7.95/8.15 apply zenon_H1d. apply refl_equal.
% 7.95/8.15 (* end of lemma zenon_L538_ *)
% 7.95/8.15 assert (zenon_L539_ : ((op (e3) (e0)) = (e2)) -> ((op (e0) (e0)) = (e3)) -> (~((e2) = (op (op (e0) (e0)) (e0)))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H93 zenon_H86 zenon_H219.
% 7.95/8.15 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H1f5 ].
% 7.95/8.15 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((e2) = (op (op (e0) (e0)) (e0)))).
% 7.95/8.15 intro zenon_D_pnotp.
% 7.95/8.15 apply zenon_H219.
% 7.95/8.15 rewrite <- zenon_D_pnotp.
% 7.95/8.15 exact zenon_H1f4.
% 7.95/8.15 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f5].
% 7.95/8.15 cut (((op (op (e0) (e0)) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H21a].
% 7.95/8.15 congruence.
% 7.95/8.15 cut (((op (e3) (e0)) = (e2)) = ((op (op (e0) (e0)) (e0)) = (e2))).
% 7.95/8.15 intro zenon_D_pnotp.
% 7.95/8.15 apply zenon_H21a.
% 7.95/8.15 rewrite <- zenon_D_pnotp.
% 7.95/8.15 exact zenon_H93.
% 7.95/8.15 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.95/8.15 cut (((op (e3) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21b].
% 7.95/8.15 congruence.
% 7.95/8.15 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H1f5 ].
% 7.95/8.15 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((op (e3) (e0)) = (op (op (e0) (e0)) (e0)))).
% 7.95/8.15 intro zenon_D_pnotp.
% 7.95/8.15 apply zenon_H21b.
% 7.95/8.15 rewrite <- zenon_D_pnotp.
% 7.95/8.15 exact zenon_H1f4.
% 7.95/8.15 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f5].
% 7.95/8.15 cut (((op (op (e0) (e0)) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H218].
% 7.95/8.15 congruence.
% 7.95/8.15 apply (zenon_L538_); trivial.
% 7.95/8.15 apply zenon_H1f5. apply refl_equal.
% 7.95/8.15 apply zenon_H1f5. apply refl_equal.
% 7.95/8.15 apply zenon_H22. apply refl_equal.
% 7.95/8.15 apply zenon_H1f5. apply refl_equal.
% 7.95/8.15 apply zenon_H1f5. apply refl_equal.
% 7.95/8.15 (* end of lemma zenon_L539_ *)
% 7.95/8.15 assert (zenon_L540_ : ((op (e3) (e3)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> ((op (e0) (e0)) = (e3)) -> False).
% 7.95/8.15 do 0 intro. intros zenon_He2 zenon_H93 zenon_H86.
% 7.95/8.15 apply (zenon_notand_s _ _ ax13); [ zenon_intro zenon_H20f | zenon_intro zenon_H21c ].
% 7.95/8.15 elim (classic ((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1fb ].
% 7.95/8.15 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0)))) = ((e1) = (op (op (e0) (e0)) (op (e0) (e0))))).
% 7.95/8.15 intro zenon_D_pnotp.
% 7.95/8.15 apply zenon_H20f.
% 7.95/8.15 rewrite <- zenon_D_pnotp.
% 7.95/8.15 exact zenon_H1fa.
% 7.95/8.15 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1fb].
% 7.95/8.15 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H210].
% 7.95/8.15 congruence.
% 7.95/8.15 cut (((op (e3) (e3)) = (e1)) = ((op (op (e0) (e0)) (op (e0) (e0))) = (e1))).
% 7.95/8.15 intro zenon_D_pnotp.
% 7.95/8.15 apply zenon_H210.
% 7.95/8.15 rewrite <- zenon_D_pnotp.
% 7.95/8.15 exact zenon_He2.
% 7.95/8.15 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.95/8.15 cut (((op (e3) (e3)) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H21d].
% 7.95/8.15 congruence.
% 7.95/8.15 elim (classic ((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1fb ].
% 7.95/8.15 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0)))) = ((op (e3) (e3)) = (op (op (e0) (e0)) (op (e0) (e0))))).
% 7.95/8.15 intro zenon_D_pnotp.
% 7.95/8.15 apply zenon_H21d.
% 7.95/8.15 rewrite <- zenon_D_pnotp.
% 7.95/8.15 exact zenon_H1fa.
% 7.95/8.15 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1fb].
% 7.95/8.15 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H217].
% 7.95/8.15 congruence.
% 7.95/8.15 apply (zenon_L537_); trivial.
% 7.95/8.15 apply zenon_H1fb. apply refl_equal.
% 7.95/8.15 apply zenon_H1fb. apply refl_equal.
% 7.95/8.15 apply zenon_H57. apply refl_equal.
% 7.95/8.15 apply zenon_H1fb. apply refl_equal.
% 7.95/8.15 apply zenon_H1fb. apply refl_equal.
% 7.95/8.15 apply (zenon_notand_s _ _ zenon_H21c); [ zenon_intro zenon_H21e | zenon_intro zenon_H219 ].
% 7.95/8.15 apply zenon_H21e. apply sym_equal. exact zenon_H86.
% 7.95/8.15 apply (zenon_L539_); trivial.
% 7.95/8.15 (* end of lemma zenon_L540_ *)
% 7.95/8.15 assert (zenon_L541_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e2))) -> (((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) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_Hc3 zenon_H93 zenon_H40 zenon_H81 zenon_H9f zenon_H10b zenon_Hf8 zenon_H127 zenon_H209 zenon_H38 zenon_H43 zenon_H117 zenon_H99 zenon_Hbb zenon_H113 zenon_H1ca zenon_H20 zenon_H4e zenon_H1e zenon_H3d zenon_H7f zenon_H67 zenon_H55 zenon_He2 zenon_H11b zenon_Hbc zenon_H6c.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.95/8.15 apply (zenon_L540_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.95/8.15 apply (zenon_L529_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.95/8.15 apply (zenon_L531_); trivial.
% 7.95/8.15 apply (zenon_L57_); trivial.
% 7.95/8.15 (* end of lemma zenon_L541_ *)
% 7.95/8.15 assert (zenon_L542_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e2))) -> (((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) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_Hec zenon_H89 zenon_H6e zenon_H10e zenon_H122 zenon_Hc3 zenon_H40 zenon_H81 zenon_H9f zenon_H10b zenon_Hf8 zenon_H127 zenon_H209 zenon_H38 zenon_H43 zenon_H117 zenon_H99 zenon_Hbb zenon_H113 zenon_H1ca zenon_H20 zenon_H4e zenon_H1e zenon_H3d zenon_H7f zenon_H67 zenon_H55 zenon_He2 zenon_H11b zenon_Hbc zenon_H6c.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.95/8.15 apply (zenon_L2_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.95/8.15 apply (zenon_L84_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.95/8.15 apply (zenon_L129_); trivial.
% 7.95/8.15 apply (zenon_L541_); trivial.
% 7.95/8.15 (* end of lemma zenon_L542_ *)
% 7.95/8.15 assert (zenon_L543_ : (((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) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e2))) -> (((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) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e2) = (e3))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H124 zenon_H5a zenon_H197 zenon_H2c zenon_Hcf zenon_Hec zenon_H89 zenon_H6e zenon_H10e zenon_H122 zenon_Hc3 zenon_H40 zenon_H81 zenon_H9f zenon_H10b zenon_Hf8 zenon_H127 zenon_H209 zenon_H38 zenon_H43 zenon_H117 zenon_H99 zenon_Hbb zenon_H113 zenon_H1ca zenon_H20 zenon_H4e zenon_H1e zenon_H3d zenon_H7f zenon_H67 zenon_H55 zenon_He2 zenon_H11b zenon_H6c.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.95/8.15 apply (zenon_L533_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.95/8.15 apply (zenon_L128_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.95/8.15 apply (zenon_L65_); trivial.
% 7.95/8.15 apply (zenon_L542_); trivial.
% 7.95/8.15 (* end of lemma zenon_L543_ *)
% 7.95/8.15 assert (zenon_L544_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_Hec zenon_H20 zenon_H10e zenon_H122 zenon_Hc3 zenon_He2 zenon_H40 zenon_H7f zenon_H81 zenon_H9f zenon_H10b zenon_Hf8 zenon_H127 zenon_H209 zenon_H38 zenon_H43 zenon_H117 zenon_H99 zenon_Hbb zenon_H113 zenon_H1ca zenon_Hb9 zenon_H29 zenon_H11b zenon_Hbc zenon_H6c.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.95/8.15 apply (zenon_L462_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.95/8.15 apply (zenon_L17_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.95/8.15 apply (zenon_L129_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.95/8.15 apply (zenon_L540_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.95/8.15 apply (zenon_L529_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.95/8.15 apply (zenon_L469_); trivial.
% 7.95/8.15 apply (zenon_L57_); trivial.
% 7.95/8.15 (* end of lemma zenon_L544_ *)
% 7.95/8.15 assert (zenon_L545_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H209 zenon_H127 zenon_He0 zenon_Hf8 zenon_H10b zenon_H9f zenon_Haf zenon_H86.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H111 | zenon_intro zenon_H20a ].
% 7.95/8.15 exact (zenon_H127 zenon_H111).
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_Hcf | zenon_intro zenon_H20b ].
% 7.95/8.15 apply (zenon_L177_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H82 | zenon_intro zenon_Hb0 ].
% 7.95/8.15 apply (zenon_L115_); trivial.
% 7.95/8.15 apply (zenon_L49_); trivial.
% 7.95/8.15 (* end of lemma zenon_L545_ *)
% 7.95/8.15 assert (zenon_L546_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H11b zenon_H20 zenon_H1ca zenon_Hb0 zenon_H81 zenon_H38 zenon_H43 zenon_H117 zenon_H113 zenon_Hbb zenon_H99 zenon_H1e6 zenon_H29 zenon_H28 zenon_H88 zenon_H6e zenon_H93 zenon_H3d zenon_H209 zenon_H127 zenon_Hf8 zenon_H10b zenon_H9f zenon_Haf.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H111 | zenon_intro zenon_H11c ].
% 7.95/8.15 exact (zenon_H127 zenon_H111).
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H37 | zenon_intro zenon_H11d ].
% 7.95/8.15 apply (zenon_L119_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H36 | zenon_intro zenon_H44 ].
% 7.95/8.15 apply (zenon_L44_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1cb ].
% 7.95/8.15 apply (zenon_L133_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1cc ].
% 7.95/8.15 apply (zenon_L323_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H13e | zenon_intro zenon_He0 ].
% 7.95/8.15 apply (zenon_L169_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e | zenon_intro zenon_H1e7 ].
% 7.95/8.15 apply (zenon_L4_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1e8 ].
% 7.95/8.15 apply (zenon_L449_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1f | zenon_intro zenon_H86 ].
% 7.95/8.15 apply (zenon_L289_); trivial.
% 7.95/8.15 apply (zenon_L545_); trivial.
% 7.95/8.15 (* end of lemma zenon_L546_ *)
% 7.95/8.15 assert (zenon_L547_ : (((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 (e3) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H142 zenon_H8f zenon_H8e zenon_Hc7 zenon_H33 zenon_H9f zenon_H99 zenon_He2 zenon_H49.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 7.95/8.15 apply (zenon_L38_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 7.95/8.15 apply (zenon_L168_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 7.95/8.15 apply (zenon_L169_); trivial.
% 7.95/8.15 apply (zenon_L456_); trivial.
% 7.95/8.15 (* end of lemma zenon_L547_ *)
% 7.95/8.15 assert (zenon_L548_ : ((op (e3) (e1)) = (e3)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H7f zenon_H92 zenon_H1d4.
% 7.95/8.15 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H19e | zenon_intro zenon_H132 ].
% 7.95/8.15 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e3) (e0)) = (op (e3) (e1)))).
% 7.95/8.15 intro zenon_D_pnotp.
% 7.95/8.15 apply zenon_H1d4.
% 7.95/8.15 rewrite <- zenon_D_pnotp.
% 7.95/8.15 exact zenon_H19e.
% 7.95/8.15 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H132].
% 7.95/8.15 cut (((op (e3) (e1)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21f].
% 7.95/8.15 congruence.
% 7.95/8.15 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e3) (e0)))).
% 7.95/8.15 intro zenon_D_pnotp.
% 7.95/8.15 apply zenon_H21f.
% 7.95/8.15 rewrite <- zenon_D_pnotp.
% 7.95/8.15 exact zenon_H7f.
% 7.95/8.15 cut (((e3) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H12a].
% 7.95/8.15 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H132].
% 7.95/8.15 congruence.
% 7.95/8.15 apply zenon_H132. apply refl_equal.
% 7.95/8.15 apply zenon_H12a. apply sym_equal. exact zenon_H92.
% 7.95/8.15 apply zenon_H132. apply refl_equal.
% 7.95/8.15 apply zenon_H132. apply refl_equal.
% 7.95/8.15 (* end of lemma zenon_L548_ *)
% 7.95/8.15 assert (zenon_L549_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((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 (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_Hec zenon_H99 zenon_H5a zenon_H3d zenon_H197 zenon_H10e zenon_H122 zenon_Hc3 zenon_He2 zenon_H40 zenon_H7f zenon_H81 zenon_H9f zenon_H38 zenon_Hcf zenon_H43 zenon_H117 zenon_H20 zenon_H113 zenon_H29 zenon_H127 zenon_H11b zenon_Hbc zenon_H6c.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.95/8.15 apply (zenon_L533_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.95/8.15 apply (zenon_L17_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.95/8.15 apply (zenon_L129_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.95/8.15 apply (zenon_L540_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.95/8.15 apply (zenon_L529_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.95/8.15 apply (zenon_L134_); trivial.
% 7.95/8.15 apply (zenon_L57_); trivial.
% 7.95/8.15 (* end of lemma zenon_L549_ *)
% 7.95/8.15 assert (zenon_L550_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H213 zenon_H20 zenon_H26 zenon_Heb zenon_H31 zenon_H17c zenon_H67 zenon_H7f.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H25 | zenon_intro zenon_H214 ].
% 7.95/8.15 apply (zenon_L3_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H2d | zenon_intro zenon_H215 ].
% 7.95/8.15 exact (zenon_Heb zenon_H2d).
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H34 | zenon_intro zenon_H41 ].
% 7.95/8.15 apply (zenon_L516_); trivial.
% 7.95/8.15 apply (zenon_L31_); trivial.
% 7.95/8.15 (* end of lemma zenon_L550_ *)
% 7.95/8.15 assert (zenon_L551_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e2))) -> (((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) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e2) = (e3))) -> False).
% 7.95/8.15 do 0 intro. intros zenon_H124 zenon_H134 zenon_H33 zenon_Hc7 zenon_Hcc zenon_Hca zenon_H2c zenon_H173 zenon_H19b zenon_Hec zenon_H89 zenon_H6e zenon_H10e zenon_H122 zenon_Hc3 zenon_H40 zenon_H81 zenon_H9f zenon_H10b zenon_Hf8 zenon_H127 zenon_H209 zenon_H38 zenon_H43 zenon_H117 zenon_H99 zenon_Hbb zenon_H113 zenon_H1ca zenon_H20 zenon_H4e zenon_H1e zenon_H3d zenon_H7f zenon_H67 zenon_H55 zenon_He2 zenon_H11b zenon_H6c.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.95/8.15 apply (zenon_L2_); trivial.
% 7.95/8.15 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.95/8.16 apply (zenon_L297_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.95/8.16 apply (zenon_L115_); trivial.
% 7.95/8.16 apply (zenon_L542_); trivial.
% 7.95/8.16 (* end of lemma zenon_L551_ *)
% 7.95/8.16 assert (zenon_L552_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e2)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((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 (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) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_Hc3 zenon_H93 zenon_H25 zenon_H81 zenon_H9f zenon_H38 zenon_Hcf zenon_H43 zenon_H117 zenon_H20 zenon_H4e zenon_H1e zenon_H3d zenon_H7f zenon_H67 zenon_H55 zenon_He2 zenon_H127 zenon_H11b zenon_Hbc zenon_H6c.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.95/8.16 apply (zenon_L540_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.95/8.16 apply (zenon_L24_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.95/8.16 apply (zenon_L534_); trivial.
% 7.95/8.16 apply (zenon_L57_); trivial.
% 7.95/8.16 (* end of lemma zenon_L552_ *)
% 7.95/8.16 assert (zenon_L553_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H1e6 zenon_H31 zenon_H30 zenon_H88 zenon_H6e zenon_H3d zenon_He2 zenon_H93.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e | zenon_intro zenon_H1e7 ].
% 7.95/8.16 apply (zenon_L6_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1e8 ].
% 7.95/8.16 apply (zenon_L449_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1f | zenon_intro zenon_H86 ].
% 7.95/8.16 apply (zenon_L289_); trivial.
% 7.95/8.16 apply (zenon_L540_); trivial.
% 7.95/8.16 (* end of lemma zenon_L553_ *)
% 7.95/8.16 assert (zenon_L554_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H197 zenon_H20 zenon_H3e zenon_H6e zenon_H173 zenon_H9f zenon_H5a zenon_H99 zenon_He2.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H93 | zenon_intro zenon_H198 ].
% 7.95/8.16 apply (zenon_L77_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hdc | zenon_intro zenon_H199 ].
% 7.95/8.16 apply (zenon_L231_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H148 | zenon_intro zenon_H195 ].
% 7.95/8.16 apply (zenon_L178_); trivial.
% 7.95/8.16 apply (zenon_L532_); trivial.
% 7.95/8.16 (* end of lemma zenon_L554_ *)
% 7.95/8.16 assert (zenon_L555_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((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)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (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 (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) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H18b zenon_H4e zenon_H55 zenon_He4 zenon_H124 zenon_H2c zenon_H122 zenon_Hc3 zenon_H40 zenon_H81 zenon_H38 zenon_H43 zenon_H117 zenon_H113 zenon_H127 zenon_H11b zenon_H134 zenon_Hcc zenon_Hca zenon_H19b zenon_H25 zenon_H142 zenon_H8f zenon_H33 zenon_H49 zenon_H1ca zenon_Hbb zenon_H28 zenon_H209 zenon_Hf8 zenon_H10b zenon_Haf zenon_H15f zenon_H6c zenon_H67 zenon_H1e6 zenon_H30 zenon_H3d zenon_H95 zenon_H10e zenon_H89 zenon_H7f zenon_Hec zenon_H197 zenon_H20 zenon_H6e zenon_H173 zenon_H9f zenon_H5a zenon_H99 zenon_He2.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 7.95/8.16 apply (zenon_L442_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 7.95/8.16 apply (zenon_L551_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.95/8.16 apply (zenon_L533_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.95/8.16 apply (zenon_L3_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.95/8.16 apply (zenon_L65_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.95/8.16 apply (zenon_L533_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.95/8.16 apply (zenon_L84_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.95/8.16 apply (zenon_L117_); trivial.
% 7.95/8.16 apply (zenon_L552_); trivial.
% 7.95/8.16 apply (zenon_L81_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.95/8.16 apply (zenon_L462_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.95/8.16 apply (zenon_L128_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.95/8.16 apply (zenon_L115_); trivial.
% 7.95/8.16 apply (zenon_L544_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.95/8.16 apply (zenon_L533_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.95/8.16 apply (zenon_L297_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.95/8.16 apply (zenon_L115_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.95/8.16 apply (zenon_L533_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.95/8.16 apply (zenon_L84_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.95/8.16 apply (zenon_L117_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.95/8.16 apply (zenon_L540_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.95/8.16 apply (zenon_L24_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.16 apply (zenon_L49_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.16 apply (zenon_L546_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.16 apply (zenon_L547_); trivial.
% 7.95/8.16 apply (zenon_L39_); trivial.
% 7.95/8.16 apply (zenon_L57_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.95/8.16 apply (zenon_L533_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.95/8.16 apply (zenon_L128_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.95/8.16 apply (zenon_L65_); trivial.
% 7.95/8.16 apply (zenon_L549_); trivial.
% 7.95/8.16 apply (zenon_L81_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.95/8.16 apply (zenon_L533_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.95/8.16 apply (zenon_L84_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.95/8.16 apply (zenon_L117_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.16 apply (zenon_L540_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.16 apply (zenon_L553_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.16 apply (zenon_L123_); trivial.
% 7.95/8.16 apply (zenon_L39_); trivial.
% 7.95/8.16 apply (zenon_L554_); trivial.
% 7.95/8.16 (* end of lemma zenon_L555_ *)
% 7.95/8.16 assert (zenon_L556_ : (((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 (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H197 zenon_H20 zenon_H3e zenon_H26 zenon_H40 zenon_H9f zenon_H5a zenon_H99 zenon_He2.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H93 | zenon_intro zenon_H198 ].
% 7.95/8.16 apply (zenon_L77_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hdc | zenon_intro zenon_H199 ].
% 7.95/8.16 apply (zenon_L225_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H148 | zenon_intro zenon_H195 ].
% 7.95/8.16 apply (zenon_L178_); trivial.
% 7.95/8.16 apply (zenon_L532_); trivial.
% 7.95/8.16 (* end of lemma zenon_L556_ *)
% 7.95/8.16 assert (zenon_L557_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H124 zenon_He2 zenon_H99 zenon_H5a zenon_H6c zenon_H3d zenon_H197 zenon_H134 zenon_H7f zenon_H33 zenon_Hc7 zenon_Hcc zenon_Hca zenon_H2c zenon_H173 zenon_H19b zenon_H10b zenon_H9f zenon_H15a zenon_H20.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.95/8.16 apply (zenon_L533_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.95/8.16 apply (zenon_L297_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.95/8.16 apply (zenon_L115_); trivial.
% 7.95/8.16 apply (zenon_L223_); trivial.
% 7.95/8.16 (* end of lemma zenon_L557_ *)
% 7.95/8.16 assert (zenon_L558_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H1ec zenon_H3e zenon_H44.
% 7.95/8.16 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e2)))).
% 7.95/8.16 intro zenon_D_pnotp.
% 7.95/8.16 apply zenon_H1ec.
% 7.95/8.16 rewrite <- zenon_D_pnotp.
% 7.95/8.16 exact zenon_H3e.
% 7.95/8.16 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 7.95/8.16 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 7.95/8.16 congruence.
% 7.95/8.16 apply zenon_H181. apply refl_equal.
% 7.95/8.16 apply zenon_H45. apply sym_equal. exact zenon_H44.
% 7.95/8.16 (* end of lemma zenon_L558_ *)
% 7.95/8.16 assert (zenon_L559_ : ((op (e3) (e2)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_Hf7 zenon_H7f zenon_H131.
% 7.95/8.16 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfa ].
% 7.95/8.16 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (e1)) = (op (e3) (e2)))).
% 7.95/8.16 intro zenon_D_pnotp.
% 7.95/8.16 apply zenon_H131.
% 7.95/8.16 rewrite <- zenon_D_pnotp.
% 7.95/8.16 exact zenon_Hf9.
% 7.95/8.16 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hfa].
% 7.95/8.16 cut (((op (e3) (e2)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H220].
% 7.95/8.16 congruence.
% 7.95/8.16 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e3) (e1)))).
% 7.95/8.16 intro zenon_D_pnotp.
% 7.95/8.16 apply zenon_H220.
% 7.95/8.16 rewrite <- zenon_D_pnotp.
% 7.95/8.16 exact zenon_Hf7.
% 7.95/8.16 cut (((e3) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H12f].
% 7.95/8.16 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hfa].
% 7.95/8.16 congruence.
% 7.95/8.16 apply zenon_Hfa. apply refl_equal.
% 7.95/8.16 apply zenon_H12f. apply sym_equal. exact zenon_H7f.
% 7.95/8.16 apply zenon_Hfa. apply refl_equal.
% 7.95/8.16 apply zenon_Hfa. apply refl_equal.
% 7.95/8.16 (* end of lemma zenon_L559_ *)
% 7.95/8.16 assert (zenon_L560_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H14a zenon_H3e zenon_H1ec zenon_Hcf zenon_Hf8 zenon_H9f zenon_H5a zenon_H7f zenon_H131.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H44 | zenon_intro zenon_H14b ].
% 7.95/8.16 apply (zenon_L558_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_He0 | zenon_intro zenon_H14c ].
% 7.95/8.16 apply (zenon_L177_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H148 | zenon_intro zenon_Hf7 ].
% 7.95/8.16 apply (zenon_L178_); trivial.
% 7.95/8.16 apply (zenon_L559_); trivial.
% 7.95/8.16 (* end of lemma zenon_L560_ *)
% 7.95/8.16 assert (zenon_L561_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H4e zenon_H131 zenon_H5a zenon_H9f zenon_Hf8 zenon_Hcf zenon_H1ec zenon_H14a zenon_H7f zenon_H67 zenon_H37 zenon_H43 zenon_He4 zenon_H15a.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.95/8.16 apply (zenon_L560_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.95/8.16 apply (zenon_L31_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.95/8.16 apply (zenon_L11_); trivial.
% 7.95/8.16 apply (zenon_L430_); trivial.
% 7.95/8.16 (* end of lemma zenon_L561_ *)
% 7.95/8.16 assert (zenon_L562_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H61 zenon_H20 zenon_H5b zenon_Heb zenon_He4 zenon_H43 zenon_H67 zenon_H7f zenon_H14a zenon_H1ec zenon_Hcf zenon_Hf8 zenon_H9f zenon_H5a zenon_H131 zenon_H4e zenon_Hf1 zenon_H15a.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.95/8.16 apply (zenon_L17_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.95/8.16 exact (zenon_Heb zenon_H2d).
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.95/8.16 apply (zenon_L561_); trivial.
% 7.95/8.16 apply (zenon_L432_); trivial.
% 7.95/8.16 (* end of lemma zenon_L562_ *)
% 7.95/8.16 assert (zenon_L563_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H61 zenon_Hb0 zenon_H81 zenon_H38 zenon_H117 zenon_H20 zenon_H113 zenon_H127 zenon_H11b zenon_Heb zenon_He4 zenon_H43 zenon_H67 zenon_H7f zenon_H14a zenon_H1ec zenon_Hcf zenon_Hf8 zenon_H9f zenon_H5a zenon_H131 zenon_H4e zenon_Hf1 zenon_H15a.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 7.95/8.16 apply (zenon_L134_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 7.95/8.16 exact (zenon_Heb zenon_H2d).
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 7.95/8.16 apply (zenon_L561_); trivial.
% 7.95/8.16 apply (zenon_L432_); trivial.
% 7.95/8.16 (* end of lemma zenon_L563_ *)
% 7.95/8.16 assert (zenon_L564_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_Hc3 zenon_H93 zenon_He2 zenon_H40 zenon_Hf1 zenon_H4e zenon_H131 zenon_H5a zenon_H9f zenon_Hf8 zenon_Hcf zenon_H1ec zenon_H14a zenon_H7f zenon_H43 zenon_He4 zenon_Heb zenon_H11b zenon_H127 zenon_H113 zenon_H20 zenon_H117 zenon_H38 zenon_H81 zenon_H61 zenon_H15a zenon_H67.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.95/8.16 apply (zenon_L540_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.95/8.16 apply (zenon_L529_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.95/8.16 apply (zenon_L563_); trivial.
% 7.95/8.16 apply (zenon_L438_); trivial.
% 7.95/8.16 (* end of lemma zenon_L564_ *)
% 7.95/8.16 assert (zenon_L565_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (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) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_Hec zenon_H99 zenon_H6c zenon_H3d zenon_H197 zenon_H10e zenon_Hc3 zenon_He2 zenon_H40 zenon_Hf1 zenon_H4e zenon_H131 zenon_H5a zenon_H9f zenon_Hf8 zenon_Hcf zenon_H1ec zenon_H14a zenon_H7f zenon_H43 zenon_He4 zenon_Heb zenon_H11b zenon_H127 zenon_H113 zenon_H20 zenon_H117 zenon_H38 zenon_H81 zenon_H61 zenon_H15a zenon_H67.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.95/8.16 apply (zenon_L533_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.95/8.16 apply (zenon_L562_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.95/8.16 apply (zenon_L117_); trivial.
% 7.95/8.16 apply (zenon_L564_); trivial.
% 7.95/8.16 (* end of lemma zenon_L565_ *)
% 7.95/8.16 assert (zenon_L566_ : (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0)))/\(((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0)))/\((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))))))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e1))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_Had zenon_Hb9 zenon_H55.
% 7.95/8.16 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H1e. zenon_intro zenon_Hae.
% 7.95/8.16 apply (zenon_L442_); trivial.
% 7.95/8.16 (* end of lemma zenon_L566_ *)
% 7.95/8.16 assert (zenon_L567_ : (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))))))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e2)) = (e1)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H122 zenon_H6f zenon_Hd2.
% 7.95/8.16 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H9f. zenon_intro zenon_H123.
% 7.95/8.16 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H1b2. zenon_intro zenon_H1b1.
% 7.95/8.16 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1aa. zenon_intro zenon_H1b3.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H118 | zenon_intro zenon_H6e ].
% 7.95/8.16 exact (zenon_H118 zenon_Hd2).
% 7.95/8.16 exact (zenon_H6f zenon_H6e).
% 7.95/8.16 (* end of lemma zenon_L567_ *)
% 7.95/8.16 assert (zenon_L568_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_Hcc zenon_H25 zenon_H2c zenon_Hde zenon_H173 zenon_H6f zenon_Hca zenon_H70.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H2d | zenon_intro zenon_Hcd ].
% 7.95/8.16 apply (zenon_L5_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hce ].
% 7.95/8.16 apply (zenon_L306_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 7.95/8.16 exact (zenon_H6f zenon_H6e).
% 7.95/8.16 apply (zenon_L62_); trivial.
% 7.95/8.16 (* end of lemma zenon_L568_ *)
% 7.95/8.16 assert (zenon_L569_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_He7 zenon_Hb9 zenon_H3d zenon_H70 zenon_Hca zenon_H6f zenon_H173 zenon_H2c zenon_H25 zenon_Hcc zenon_Hd2 zenon_H43 zenon_H8f zenon_Hfc.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hb2 | zenon_intro zenon_He8 ].
% 7.95/8.16 apply (zenon_L416_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ].
% 7.95/8.16 apply (zenon_L568_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_He0 | zenon_intro zenon_He2 ].
% 7.95/8.16 apply (zenon_L80_); trivial.
% 7.95/8.16 apply (zenon_L191_); trivial.
% 7.95/8.16 (* end of lemma zenon_L569_ *)
% 7.95/8.16 assert (zenon_L570_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (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)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e2)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_Haa zenon_H67 zenon_H89 zenon_H88 zenon_Hfc zenon_H8f zenon_H43 zenon_Hd2 zenon_Hcc zenon_H25 zenon_H2c zenon_H173 zenon_H6f zenon_Hca zenon_H3d zenon_Hb9 zenon_He7 zenon_H6c zenon_Hdc.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 7.95/8.16 apply (zenon_L24_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 7.95/8.16 apply (zenon_L37_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 7.95/8.16 apply (zenon_L569_); trivial.
% 7.95/8.16 apply (zenon_L73_); trivial.
% 7.95/8.16 (* end of lemma zenon_L570_ *)
% 7.95/8.16 assert (zenon_L571_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (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)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H13b zenon_H20 zenon_H12d zenon_H12b zenon_Haa zenon_H67 zenon_H89 zenon_H88 zenon_Hfc zenon_H8f zenon_H43 zenon_Hd2 zenon_Hcc zenon_H25 zenon_H2c zenon_H173 zenon_H6f zenon_Hca zenon_H3d zenon_Hb9 zenon_He7 zenon_H6c.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.95/8.16 apply (zenon_L3_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.95/8.16 exact (zenon_H6f zenon_H6e).
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.95/8.16 apply (zenon_L204_); trivial.
% 7.95/8.16 apply (zenon_L570_); trivial.
% 7.95/8.16 (* end of lemma zenon_L571_ *)
% 7.95/8.16 assert (zenon_L572_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_Hcc zenon_H25 zenon_H2c zenon_Hde zenon_H173 zenon_H6f zenon_Hef zenon_H115.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H2d | zenon_intro zenon_Hcd ].
% 7.95/8.16 apply (zenon_L5_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hce ].
% 7.95/8.16 apply (zenon_L306_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 7.95/8.16 exact (zenon_H6f zenon_H6e).
% 7.95/8.16 apply (zenon_L205_); trivial.
% 7.95/8.16 (* end of lemma zenon_L572_ *)
% 7.95/8.16 assert (zenon_L573_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_He7 zenon_Hb9 zenon_H3d zenon_H115 zenon_Hef zenon_H6f zenon_H173 zenon_H2c zenon_H25 zenon_Hcc zenon_Hd2 zenon_H43 zenon_H8f zenon_Hfc.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hb2 | zenon_intro zenon_He8 ].
% 7.95/8.16 apply (zenon_L416_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ].
% 7.95/8.16 apply (zenon_L572_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_He0 | zenon_intro zenon_He2 ].
% 7.95/8.16 apply (zenon_L80_); trivial.
% 7.95/8.16 apply (zenon_L191_); trivial.
% 7.95/8.16 (* end of lemma zenon_L573_ *)
% 7.95/8.16 assert (zenon_L574_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e1) (e0)) = (e0)) -> (~((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 (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H142 zenon_Hb9 zenon_H30 zenon_H9c zenon_H99 zenon_Hd2 zenon_H38 zenon_H157 zenon_H158 zenon_H29 zenon_H154 zenon_Hff zenon_H64 zenon_Hbc zenon_Hf1 zenon_Hfc zenon_H5e.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 7.95/8.16 apply (zenon_L422_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 7.95/8.16 apply (zenon_L97_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 7.95/8.16 apply (zenon_L390_); trivial.
% 7.95/8.16 apply (zenon_L282_); trivial.
% 7.95/8.16 (* end of lemma zenon_L574_ *)
% 7.95/8.16 assert (zenon_L575_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (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)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H162 zenon_Hca zenon_H67 zenon_Haa zenon_H13a zenon_H83 zenon_H38 zenon_H134 zenon_Hdc zenon_H95 zenon_Hb0 zenon_Haf zenon_H89 zenon_H6c zenon_H128 zenon_Ha7 zenon_H8f zenon_H43 zenon_Hd2 zenon_Hcc zenon_H25 zenon_H2c zenon_H173 zenon_H6f zenon_Hef zenon_H3d zenon_Hb9 zenon_He7 zenon_Hfc zenon_H5e.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.95/8.16 apply (zenon_L570_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.95/8.16 apply (zenon_L162_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.95/8.16 apply (zenon_L573_); trivial.
% 7.95/8.16 apply (zenon_L109_); trivial.
% 7.95/8.16 (* end of lemma zenon_L575_ *)
% 7.95/8.16 assert (zenon_L576_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_He7 zenon_H55 zenon_H3e zenon_Hc7 zenon_H40 zenon_Hd2 zenon_H43 zenon_H8f zenon_Hfc.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hb2 | zenon_intro zenon_He8 ].
% 7.95/8.16 apply (zenon_L50_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ].
% 7.95/8.16 apply (zenon_L144_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_He0 | zenon_intro zenon_He2 ].
% 7.95/8.16 apply (zenon_L80_); trivial.
% 7.95/8.16 apply (zenon_L191_); trivial.
% 7.95/8.16 (* end of lemma zenon_L576_ *)
% 7.95/8.16 assert (zenon_L577_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (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) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e2) = (e3))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H13b zenon_H20 zenon_H6f zenon_Hf4 zenon_H99 zenon_Haa zenon_H67 zenon_H25 zenon_H89 zenon_H88 zenon_H18e zenon_H15c zenon_H6c.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.95/8.16 apply (zenon_L3_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.95/8.16 exact (zenon_H6f zenon_H6e).
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.95/8.16 apply (zenon_L97_); trivial.
% 7.95/8.16 apply (zenon_L482_); trivial.
% 7.95/8.16 (* end of lemma zenon_L577_ *)
% 7.95/8.16 assert (zenon_L578_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H1d0 zenon_H111 zenon_Hfc zenon_H8f zenon_H43 zenon_Hd2 zenon_Hcc zenon_H2c zenon_H173 zenon_Hef zenon_H3d zenon_Hb9 zenon_He7 zenon_H6c zenon_H18e zenon_H88 zenon_H89 zenon_H25 zenon_H67 zenon_Haa zenon_H99 zenon_Hf4 zenon_H6f zenon_H20 zenon_H13b zenon_H12b zenon_H1cd.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d1 ].
% 7.95/8.16 apply (zenon_L118_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H115 | zenon_intro zenon_H1d2 ].
% 7.95/8.16 apply (zenon_L573_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15c | zenon_intro zenon_Hf7 ].
% 7.95/8.16 apply (zenon_L577_); trivial.
% 7.95/8.16 apply (zenon_L336_); trivial.
% 7.95/8.16 (* end of lemma zenon_L578_ *)
% 7.95/8.16 assert (zenon_L579_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H1d0 zenon_Hb9 zenon_Hef zenon_H6f zenon_H173 zenon_Hde zenon_H2c zenon_H25 zenon_Hcc zenon_H36 zenon_H67 zenon_Hfc zenon_H1cd.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d1 ].
% 7.95/8.16 apply (zenon_L388_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H115 | zenon_intro zenon_H1d2 ].
% 7.95/8.16 apply (zenon_L572_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15c | zenon_intro zenon_Hf7 ].
% 7.95/8.16 apply (zenon_L215_); trivial.
% 7.95/8.16 apply (zenon_L335_); trivial.
% 7.95/8.16 (* end of lemma zenon_L579_ *)
% 7.95/8.16 assert (zenon_L580_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (((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)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_He7 zenon_H55 zenon_H3e zenon_H1cd zenon_H67 zenon_H36 zenon_Hcc zenon_H25 zenon_H2c zenon_H173 zenon_H6f zenon_Hef zenon_Hb9 zenon_H1d0 zenon_Hd2 zenon_H43 zenon_H8f zenon_Hfc.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hb2 | zenon_intro zenon_He8 ].
% 7.95/8.16 apply (zenon_L50_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ].
% 7.95/8.16 apply (zenon_L579_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_He0 | zenon_intro zenon_He2 ].
% 7.95/8.16 apply (zenon_L80_); trivial.
% 7.95/8.16 apply (zenon_L191_); trivial.
% 7.95/8.16 (* end of lemma zenon_L580_ *)
% 7.95/8.16 assert (zenon_L581_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e2) = (e3))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H13b zenon_H20 zenon_H6f zenon_H12d zenon_H12b zenon_Haa zenon_H67 zenon_H25 zenon_H89 zenon_H88 zenon_H18e zenon_H15c zenon_H6c.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.95/8.16 apply (zenon_L3_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.95/8.16 exact (zenon_H6f zenon_H6e).
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.95/8.16 apply (zenon_L204_); trivial.
% 7.95/8.16 apply (zenon_L482_); trivial.
% 7.95/8.16 (* end of lemma zenon_L581_ *)
% 7.95/8.16 assert (zenon_L582_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e2) = (e3))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H13b zenon_H20 zenon_H6f zenon_H12d zenon_Hfc zenon_H95 zenon_Hb9 zenon_H8f zenon_H31 zenon_H12b zenon_H128 zenon_Haa zenon_H67 zenon_H25 zenon_H89 zenon_H88 zenon_H18e zenon_H15c zenon_H6c.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.95/8.16 apply (zenon_L3_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.95/8.16 exact (zenon_H6f zenon_H6e).
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.95/8.16 apply (zenon_L480_); trivial.
% 7.95/8.16 apply (zenon_L482_); trivial.
% 7.95/8.16 (* end of lemma zenon_L582_ *)
% 7.95/8.16 assert (zenon_L583_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (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))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e2) = (e3))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H13b zenon_H20 zenon_H6f zenon_Hde zenon_H8f zenon_Haa zenon_H67 zenon_H25 zenon_H89 zenon_H88 zenon_H18e zenon_H15c zenon_H6c.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.95/8.16 apply (zenon_L3_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.95/8.16 exact (zenon_H6f zenon_H6e).
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.95/8.16 apply (zenon_L98_); trivial.
% 7.95/8.16 apply (zenon_L482_); trivial.
% 7.95/8.16 (* end of lemma zenon_L583_ *)
% 7.95/8.16 assert (zenon_L584_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H18b zenon_Hec zenon_H12d zenon_H12b zenon_H95 zenon_Hb9 zenon_H6c zenon_H18e zenon_H89 zenon_H25 zenon_H67 zenon_Haa zenon_H8f zenon_H6f zenon_H20 zenon_H13b zenon_H99 zenon_Hef zenon_Hd2 zenon_He7 zenon_H55 zenon_H40 zenon_H43 zenon_H184 zenon_H10e zenon_H15c zenon_Hfc zenon_H128.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 7.95/8.16 apply (zenon_L442_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 7.95/8.16 apply (zenon_L462_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 7.95/8.16 apply (zenon_L17_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.16 apply (zenon_L333_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.16 apply (zenon_L581_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.16 apply (zenon_L136_); trivial.
% 7.95/8.16 apply (zenon_L137_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.16 apply (zenon_L333_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.16 apply (zenon_L581_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.16 apply (zenon_L200_); trivial.
% 7.95/8.16 apply (zenon_L39_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.16 apply (zenon_L333_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.16 apply (zenon_L582_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.16 apply (zenon_L200_); trivial.
% 7.95/8.16 apply (zenon_L137_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.16 apply (zenon_L333_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H185 ].
% 7.95/8.16 apply (zenon_L576_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H186 ].
% 7.95/8.16 apply (zenon_L90_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hde ].
% 7.95/8.16 apply (zenon_L577_); trivial.
% 7.95/8.16 apply (zenon_L583_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.16 apply (zenon_L200_); trivial.
% 7.95/8.16 apply (zenon_L137_); trivial.
% 7.95/8.16 (* end of lemma zenon_L584_ *)
% 7.95/8.16 assert (zenon_L585_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (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) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H1d0 zenon_H111 zenon_H173 zenon_Hde zenon_H2c zenon_Hcc zenon_H128 zenon_Hfc zenon_H10e zenon_H184 zenon_H43 zenon_H40 zenon_H55 zenon_He7 zenon_Hd2 zenon_Hef zenon_H99 zenon_H13b zenon_H20 zenon_H6f zenon_H8f zenon_Haa zenon_H67 zenon_H25 zenon_H89 zenon_H18e zenon_H6c zenon_Hb9 zenon_H95 zenon_H12d zenon_Hec zenon_H18b zenon_H12b zenon_H1cd.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d1 ].
% 7.95/8.16 apply (zenon_L118_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H115 | zenon_intro zenon_H1d2 ].
% 7.95/8.16 apply (zenon_L572_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15c | zenon_intro zenon_Hf7 ].
% 7.95/8.16 apply (zenon_L584_); trivial.
% 7.95/8.16 apply (zenon_L336_); trivial.
% 7.95/8.16 (* end of lemma zenon_L585_ *)
% 7.95/8.16 assert (zenon_L586_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H11b zenon_H12b zenon_H18b zenon_Hec zenon_H12d zenon_H95 zenon_H6c zenon_H18e zenon_H89 zenon_Haa zenon_H8f zenon_H20 zenon_H13b zenon_H99 zenon_He7 zenon_H40 zenon_H43 zenon_H184 zenon_H10e zenon_H128 zenon_Hd2 zenon_H55 zenon_H1cd zenon_Hfc zenon_H67 zenon_Hcc zenon_H25 zenon_H2c zenon_Hde zenon_H173 zenon_H6f zenon_Hef zenon_Hb9 zenon_H1d0 zenon_H1ec zenon_H3e.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H111 | zenon_intro zenon_H11c ].
% 7.95/8.16 apply (zenon_L585_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H37 | zenon_intro zenon_H11d ].
% 7.95/8.16 apply (zenon_L165_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H36 | zenon_intro zenon_H44 ].
% 7.95/8.16 apply (zenon_L579_); trivial.
% 7.95/8.16 apply (zenon_L558_); trivial.
% 7.95/8.16 (* end of lemma zenon_L586_ *)
% 7.95/8.16 assert (zenon_L587_ : (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e3)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H3d zenon_H88 zenon_H11b zenon_H12b zenon_H18b zenon_Hec zenon_H12d zenon_H95 zenon_H6c zenon_H18e zenon_H89 zenon_Haa zenon_H8f zenon_H20 zenon_H13b zenon_H99 zenon_He7 zenon_H40 zenon_H43 zenon_H184 zenon_H10e zenon_H128 zenon_Hd2 zenon_H55 zenon_H1cd zenon_Hfc zenon_H67 zenon_Hcc zenon_H25 zenon_H2c zenon_H173 zenon_H6f zenon_Hef zenon_Hb9 zenon_H1d0 zenon_H1ec zenon_H3e.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H185 ].
% 7.95/8.16 apply (zenon_L576_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H186 ].
% 7.95/8.16 apply (zenon_L90_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hde ].
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H111 | zenon_intro zenon_H11c ].
% 7.95/8.16 apply (zenon_L578_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H37 | zenon_intro zenon_H11d ].
% 7.95/8.16 apply (zenon_L165_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H36 | zenon_intro zenon_H44 ].
% 7.95/8.16 apply (zenon_L580_); trivial.
% 7.95/8.16 apply (zenon_L558_); trivial.
% 7.95/8.16 apply (zenon_L586_); trivial.
% 7.95/8.16 (* end of lemma zenon_L587_ *)
% 7.95/8.16 assert (zenon_L588_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (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 (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H13b zenon_H20 zenon_H25 zenon_H6f zenon_Hf4 zenon_H99 zenon_Ha7 zenon_H6c zenon_H8e zenon_H134 zenon_H10b zenon_H82 zenon_H13a.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.95/8.16 apply (zenon_L3_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.95/8.16 exact (zenon_H6f zenon_H6e).
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.95/8.16 apply (zenon_L97_); trivial.
% 7.95/8.16 apply (zenon_L153_); trivial.
% 7.95/8.16 (* end of lemma zenon_L588_ *)
% 7.95/8.16 assert (zenon_L589_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H11b zenon_H67 zenon_Hd2 zenon_H55 zenon_Hb0 zenon_Hb9 zenon_H1ec zenon_H3e.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H111 | zenon_intro zenon_H11c ].
% 7.95/8.16 apply (zenon_L118_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H37 | zenon_intro zenon_H11d ].
% 7.95/8.16 apply (zenon_L165_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H36 | zenon_intro zenon_H44 ].
% 7.95/8.16 apply (zenon_L388_); trivial.
% 7.95/8.16 apply (zenon_L558_); trivial.
% 7.95/8.16 (* end of lemma zenon_L589_ *)
% 7.95/8.16 assert (zenon_L590_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e0)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_Hc3 zenon_H8f zenon_H25 zenon_H3e zenon_H1ec zenon_Hb9 zenon_H55 zenon_Hd2 zenon_H67 zenon_H11b zenon_Hbc zenon_H6c.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.95/8.16 apply (zenon_L333_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.95/8.16 apply (zenon_L24_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.95/8.16 apply (zenon_L589_); trivial.
% 7.95/8.16 apply (zenon_L57_); trivial.
% 7.95/8.16 (* end of lemma zenon_L590_ *)
% 7.95/8.16 assert (zenon_L591_ : (((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 (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e1)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H4e zenon_H1e zenon_H3d zenon_H89 zenon_H88 zenon_Hca zenon_H9c zenon_Hc7 zenon_H2c zenon_H173 zenon_Hcc zenon_H36 zenon_H5a zenon_H55 zenon_He2.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 7.95/8.16 apply (zenon_L9_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 7.95/8.16 apply (zenon_L517_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 7.95/8.16 apply (zenon_L16_); trivial.
% 7.95/8.16 apply (zenon_L308_); trivial.
% 7.95/8.16 (* end of lemma zenon_L591_ *)
% 7.95/8.16 assert (zenon_L592_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((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))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H13b zenon_H134 zenon_H33 zenon_H19b zenon_H6f zenon_He2 zenon_H55 zenon_H5a zenon_H36 zenon_Hcc zenon_H173 zenon_H2c zenon_Hc7 zenon_Hca zenon_H88 zenon_H89 zenon_H3d zenon_H1e zenon_H4e zenon_H6c zenon_H7f.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.95/8.16 apply (zenon_L297_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.95/8.16 exact (zenon_H6f zenon_H6e).
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.95/8.16 apply (zenon_L591_); trivial.
% 7.95/8.16 apply (zenon_L73_); trivial.
% 7.95/8.16 (* end of lemma zenon_L592_ *)
% 7.95/8.16 assert (zenon_L593_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0)))/\(((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0)))/\((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))))))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (((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 (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (((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 (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H95 zenon_H67 zenon_Had zenon_H7f zenon_H6c zenon_H4e zenon_H1e zenon_H3d zenon_H89 zenon_Hca zenon_Hc7 zenon_H2c zenon_H173 zenon_Hcc zenon_H36 zenon_H5a zenon_H55 zenon_He2 zenon_H6f zenon_H19b zenon_H33 zenon_H134 zenon_H13b zenon_H8f zenon_H54 zenon_Hc0.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 7.95/8.16 apply (zenon_L48_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 7.95/8.16 apply (zenon_L592_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 7.95/8.16 apply (zenon_L38_); trivial.
% 7.95/8.16 exact (zenon_Hc0 zenon_H92).
% 7.95/8.16 (* end of lemma zenon_L593_ *)
% 7.95/8.16 assert (zenon_L594_ : ((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0)))/\(((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0)))/\((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e3) (e3)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H221 zenon_Had zenon_H55 zenon_Hb6 zenon_H142 zenon_H49 zenon_H99 zenon_H17f zenon_H67 zenon_H13b zenon_H6c zenon_H3d zenon_H1e zenon_H89 zenon_H5a zenon_H36 zenon_He2 zenon_H4e zenon_H6f zenon_Hcc zenon_H7f zenon_H173 zenon_H2c zenon_Hca zenon_H33 zenon_H134 zenon_H19b zenon_H8f zenon_H95 zenon_Hd2 zenon_H113 zenon_H81 zenon_He4 zenon_H15f.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H47 ].
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 7.95/8.16 apply (zenon_L566_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 7.95/8.16 apply (zenon_L566_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 7.95/8.16 apply (zenon_L323_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 7.95/8.16 apply (zenon_L593_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.95/8.16 apply (zenon_L297_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.95/8.16 exact (zenon_H6f zenon_H6e).
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 7.95/8.16 apply (zenon_L244_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 7.95/8.16 apply (zenon_L97_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 7.95/8.16 apply (zenon_L155_); trivial.
% 7.95/8.16 apply (zenon_L456_); trivial.
% 7.95/8.16 apply (zenon_L73_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 7.95/8.16 apply (zenon_L68_); trivial.
% 7.95/8.16 apply (zenon_L81_); trivial.
% 7.95/8.16 apply (zenon_L308_); trivial.
% 7.95/8.16 (* end of lemma zenon_L594_ *)
% 7.95/8.16 assert (zenon_L595_ : (((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) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0)))/\(((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0)))/\((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))))))) -> ((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H1c7 zenon_H15f zenon_He4 zenon_H81 zenon_H113 zenon_H95 zenon_H8f zenon_H19b zenon_H134 zenon_H33 zenon_Hca zenon_H2c zenon_H173 zenon_H7f zenon_Hcc zenon_H6f zenon_H4e zenon_He2 zenon_H5a zenon_H89 zenon_H1e zenon_H3d zenon_H6c zenon_H13b zenon_H67 zenon_H17f zenon_H99 zenon_H49 zenon_H142 zenon_Hb6 zenon_H55 zenon_Had zenon_H221 zenon_Hd2 zenon_H38 zenon_H18e zenon_H9c zenon_Hb0 zenon_H10b.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H36 | zenon_intro zenon_H1c8 ].
% 7.95/8.16 apply (zenon_L594_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H13e | zenon_intro zenon_H1c9 ].
% 7.95/8.16 apply (zenon_L390_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H9f | zenon_intro zenon_H15c ].
% 7.95/8.16 apply (zenon_L299_); trivial.
% 7.95/8.16 apply (zenon_L274_); trivial.
% 7.95/8.16 (* end of lemma zenon_L595_ *)
% 7.95/8.16 assert (zenon_L596_ : ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0)))/\(((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0)))/\((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_Hc7 zenon_H10b zenon_Hb0 zenon_H18e zenon_H38 zenon_Hd2 zenon_H221 zenon_Had zenon_H55 zenon_Hb6 zenon_H142 zenon_H49 zenon_H99 zenon_H17f zenon_H67 zenon_H13b zenon_H3d zenon_H1e zenon_H89 zenon_H5a zenon_He2 zenon_H4e zenon_H6f zenon_Hcc zenon_H173 zenon_H2c zenon_Hca zenon_H33 zenon_H134 zenon_H19b zenon_H8f zenon_H95 zenon_H113 zenon_H81 zenon_He4 zenon_H15f zenon_H1c7 zenon_H6c zenon_H7f.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.95/8.16 apply (zenon_L297_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.95/8.16 exact (zenon_H6f zenon_H6e).
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.95/8.16 apply (zenon_L595_); trivial.
% 7.95/8.16 apply (zenon_L73_); trivial.
% 7.95/8.16 (* end of lemma zenon_L596_ *)
% 7.95/8.16 assert (zenon_L597_ : ((op (e3) (e2)) = (e0)) -> ((op (e2) (e2)) = (e3)) -> (~((e0) = (op (op (e2) (e2)) (e2)))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H44 zenon_H15c zenon_H222.
% 7.95/8.16 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bb ].
% 7.95/8.16 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((e0) = (op (op (e2) (e2)) (e2)))).
% 7.95/8.16 intro zenon_D_pnotp.
% 7.95/8.16 apply zenon_H222.
% 7.95/8.16 rewrite <- zenon_D_pnotp.
% 7.95/8.16 exact zenon_H1ba.
% 7.95/8.16 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 7.95/8.16 cut (((op (op (e2) (e2)) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H223].
% 7.95/8.16 congruence.
% 7.95/8.16 cut (((op (e3) (e2)) = (e0)) = ((op (op (e2) (e2)) (e2)) = (e0))).
% 7.95/8.16 intro zenon_D_pnotp.
% 7.95/8.16 apply zenon_H223.
% 7.95/8.16 rewrite <- zenon_D_pnotp.
% 7.95/8.16 exact zenon_H44.
% 7.95/8.16 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 7.95/8.16 cut (((op (e3) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1da].
% 7.95/8.16 congruence.
% 7.95/8.16 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bb ].
% 7.95/8.16 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((op (e3) (e2)) = (op (op (e2) (e2)) (e2)))).
% 7.95/8.16 intro zenon_D_pnotp.
% 7.95/8.16 apply zenon_H1da.
% 7.95/8.16 rewrite <- zenon_D_pnotp.
% 7.95/8.16 exact zenon_H1ba.
% 7.95/8.16 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 7.95/8.16 cut (((op (op (e2) (e2)) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1d7].
% 7.95/8.16 congruence.
% 7.95/8.16 apply (zenon_L381_); trivial.
% 7.95/8.16 apply zenon_H1bb. apply refl_equal.
% 7.95/8.16 apply zenon_H1bb. apply refl_equal.
% 7.95/8.16 apply zenon_H1d. apply refl_equal.
% 7.95/8.16 apply zenon_H1bb. apply refl_equal.
% 7.95/8.16 apply zenon_H1bb. apply refl_equal.
% 7.95/8.16 (* end of lemma zenon_L597_ *)
% 7.95/8.16 assert (zenon_L598_ : ((op (e3) (e3)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> ((op (e2) (e2)) = (e3)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_He2 zenon_H44 zenon_H15c.
% 7.95/8.16 apply (zenon_notand_s _ _ ax15); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H224 ].
% 7.95/8.16 elim (classic ((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2))))); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c2 ].
% 7.95/8.16 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2)))) = ((e1) = (op (op (e2) (e2)) (op (e2) (e2))))).
% 7.95/8.16 intro zenon_D_pnotp.
% 7.95/8.16 apply zenon_H1e1.
% 7.95/8.16 rewrite <- zenon_D_pnotp.
% 7.95/8.16 exact zenon_H1c1.
% 7.95/8.16 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 7.95/8.16 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1e2].
% 7.95/8.16 congruence.
% 7.95/8.16 cut (((op (e3) (e3)) = (e1)) = ((op (op (e2) (e2)) (op (e2) (e2))) = (e1))).
% 7.95/8.16 intro zenon_D_pnotp.
% 7.95/8.16 apply zenon_H1e2.
% 7.95/8.16 rewrite <- zenon_D_pnotp.
% 7.95/8.16 exact zenon_He2.
% 7.95/8.16 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.95/8.16 cut (((op (e3) (e3)) = (op (op (e2) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1dc].
% 7.95/8.16 congruence.
% 7.95/8.16 elim (classic ((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2))))); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c2 ].
% 7.95/8.16 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2)))) = ((op (e3) (e3)) = (op (op (e2) (e2)) (op (e2) (e2))))).
% 7.95/8.16 intro zenon_D_pnotp.
% 7.95/8.16 apply zenon_H1dc.
% 7.95/8.16 rewrite <- zenon_D_pnotp.
% 7.95/8.16 exact zenon_H1c1.
% 7.95/8.16 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 7.95/8.16 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1d5].
% 7.95/8.16 congruence.
% 7.95/8.16 apply (zenon_L380_); trivial.
% 7.95/8.16 apply zenon_H1c2. apply refl_equal.
% 7.95/8.16 apply zenon_H1c2. apply refl_equal.
% 7.95/8.16 apply zenon_H57. apply refl_equal.
% 7.95/8.16 apply zenon_H1c2. apply refl_equal.
% 7.95/8.16 apply zenon_H1c2. apply refl_equal.
% 7.95/8.16 apply (zenon_notand_s _ _ zenon_H224); [ zenon_intro zenon_H1dd | zenon_intro zenon_H222 ].
% 7.95/8.16 apply zenon_H1dd. apply sym_equal. exact zenon_H15c.
% 7.95/8.16 apply (zenon_L597_); trivial.
% 7.95/8.16 (* end of lemma zenon_L598_ *)
% 7.95/8.16 assert (zenon_L599_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H1c7 zenon_H5a zenon_H115 zenon_H2d zenon_H18e zenon_H9c zenon_He2 zenon_H44.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H36 | zenon_intro zenon_H1c8 ].
% 7.95/8.16 apply (zenon_L16_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H13e | zenon_intro zenon_H1c9 ].
% 7.95/8.16 apply (zenon_L325_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H9f | zenon_intro zenon_H15c ].
% 7.95/8.16 apply (zenon_L299_); trivial.
% 7.95/8.16 apply (zenon_L598_); trivial.
% 7.95/8.16 (* end of lemma zenon_L599_ *)
% 7.95/8.16 assert (zenon_L600_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e1) (e0)) = (e3)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (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 (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0)))/\(((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0)))/\((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))))))) -> ((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H11b zenon_Haf zenon_H88 zenon_H1d0 zenon_H6c zenon_H15f zenon_He4 zenon_H81 zenon_H113 zenon_H95 zenon_H8f zenon_H19b zenon_H134 zenon_H33 zenon_Hca zenon_H173 zenon_H4e zenon_H89 zenon_H1e zenon_H3d zenon_H13b zenon_H67 zenon_H17f zenon_H99 zenon_H49 zenon_H142 zenon_Hb6 zenon_H55 zenon_Had zenon_H221 zenon_Hd2 zenon_H38 zenon_H10b zenon_Hef zenon_H6f zenon_Hc7 zenon_H2c zenon_H1c7 zenon_H5a zenon_H18e zenon_H9c zenon_Hcc zenon_He2 zenon_H7f zenon_H131.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H111 | zenon_intro zenon_H11c ].
% 7.95/8.16 apply (zenon_L318_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H37 | zenon_intro zenon_H11d ].
% 7.95/8.16 apply (zenon_L165_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H36 | zenon_intro zenon_H44 ].
% 7.95/8.16 apply (zenon_L591_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d1 ].
% 7.95/8.16 apply (zenon_L596_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H115 | zenon_intro zenon_H1d2 ].
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H2d | zenon_intro zenon_Hcd ].
% 7.95/8.16 apply (zenon_L599_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hce ].
% 7.95/8.16 apply (zenon_L61_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 7.95/8.16 exact (zenon_H6f zenon_H6e).
% 7.95/8.16 apply (zenon_L205_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15c | zenon_intro zenon_Hf7 ].
% 7.95/8.16 apply (zenon_L598_); trivial.
% 7.95/8.16 apply (zenon_L559_); trivial.
% 7.95/8.16 (* end of lemma zenon_L600_ *)
% 7.95/8.16 assert (zenon_L601_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (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 (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0)))/\(((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0)))/\((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H131 zenon_He2 zenon_Hcc zenon_H18e zenon_H5a zenon_H1c7 zenon_H2c zenon_Hc7 zenon_H6f zenon_Hef zenon_H10b zenon_H38 zenon_Hd2 zenon_H221 zenon_Had zenon_H55 zenon_Hb6 zenon_H142 zenon_H49 zenon_H99 zenon_H17f zenon_H67 zenon_H13b zenon_H3d zenon_H1e zenon_H89 zenon_H4e zenon_H173 zenon_Hca zenon_H33 zenon_H134 zenon_H19b zenon_H8f zenon_H95 zenon_H113 zenon_H81 zenon_He4 zenon_H15f zenon_H1d0 zenon_H88 zenon_Haf zenon_H11b zenon_H6c zenon_H7f.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.95/8.16 apply (zenon_L297_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.95/8.16 exact (zenon_H6f zenon_H6e).
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.95/8.16 apply (zenon_L600_); trivial.
% 7.95/8.16 apply (zenon_L73_); trivial.
% 7.95/8.16 (* end of lemma zenon_L601_ *)
% 7.95/8.16 assert (zenon_L602_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H13b zenon_H134 zenon_H33 zenon_Hc7 zenon_Hcc zenon_Hca zenon_H2c zenon_H173 zenon_H19b zenon_H6f zenon_H49 zenon_He2 zenon_H38 zenon_Hd2 zenon_H99 zenon_H8e zenon_H8f zenon_H142 zenon_H6c zenon_H7f.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 7.95/8.16 apply (zenon_L297_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 7.95/8.16 exact (zenon_H6f zenon_H6e).
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 7.95/8.16 apply (zenon_L38_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 7.95/8.16 apply (zenon_L97_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 7.95/8.16 apply (zenon_L390_); trivial.
% 7.95/8.16 apply (zenon_L456_); trivial.
% 7.95/8.16 apply (zenon_L73_); trivial.
% 7.95/8.16 (* end of lemma zenon_L602_ *)
% 7.95/8.16 assert (zenon_L603_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_Hd6 zenon_Hc6 zenon_H130.
% 7.95/8.16 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H65 ].
% 7.95/8.16 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e1)) = (op (e1) (e3)))).
% 7.95/8.16 intro zenon_D_pnotp.
% 7.95/8.16 apply zenon_H130.
% 7.95/8.16 rewrite <- zenon_D_pnotp.
% 7.95/8.16 exact zenon_Hf2.
% 7.95/8.16 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H65].
% 7.95/8.16 cut (((op (e1) (e3)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H225].
% 7.95/8.16 congruence.
% 7.95/8.16 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e1) (e1)))).
% 7.95/8.16 intro zenon_D_pnotp.
% 7.95/8.16 apply zenon_H225.
% 7.95/8.16 rewrite <- zenon_D_pnotp.
% 7.95/8.16 exact zenon_Hd6.
% 7.95/8.16 cut (((e1) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H226].
% 7.95/8.16 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H65].
% 7.95/8.16 congruence.
% 7.95/8.16 apply zenon_H65. apply refl_equal.
% 7.95/8.16 apply zenon_H226. apply sym_equal. exact zenon_Hc6.
% 7.95/8.16 apply zenon_H65. apply refl_equal.
% 7.95/8.16 apply zenon_H65. apply refl_equal.
% 7.95/8.16 (* end of lemma zenon_L603_ *)
% 7.95/8.16 assert (zenon_L604_ : (((op (e1) (e1)) = (e1))/\(((~((op (e0) (e1)) = (e0)))\/((op (e0) (e0)) = (e1)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e1)) = (e2)))\/((op (e2) (e2)) = (e1)))/\((~((op (e3) (e1)) = (e3)))\/((op (e3) (e3)) = (e1))))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H106 zenon_Hd6 zenon_H130.
% 7.95/8.16 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hc6. zenon_intro zenon_H107.
% 7.95/8.16 apply (zenon_L603_); trivial.
% 7.95/8.16 (* end of lemma zenon_L604_ *)
% 7.95/8.16 assert (zenon_L605_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e3))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_Hd6 zenon_Hfd zenon_H8f.
% 7.95/8.16 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 7.95/8.16 cut (((e3) = (e3)) = ((e1) = (e3))).
% 7.95/8.16 intro zenon_D_pnotp.
% 7.95/8.16 apply zenon_H8f.
% 7.95/8.16 rewrite <- zenon_D_pnotp.
% 7.95/8.16 exact zenon_H68.
% 7.95/8.16 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.95/8.16 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 7.95/8.16 congruence.
% 7.95/8.16 cut (((op (e1) (e3)) = (e1)) = ((e3) = (e1))).
% 7.95/8.16 intro zenon_D_pnotp.
% 7.95/8.16 apply zenon_H90.
% 7.95/8.16 rewrite <- zenon_D_pnotp.
% 7.95/8.16 exact zenon_Hd6.
% 7.95/8.16 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 7.95/8.16 cut (((op (e1) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H227].
% 7.95/8.16 congruence.
% 7.95/8.16 exact (zenon_H227 zenon_Hfd).
% 7.95/8.16 apply zenon_H57. apply refl_equal.
% 7.95/8.16 apply zenon_H69. apply refl_equal.
% 7.95/8.16 apply zenon_H69. apply refl_equal.
% 7.95/8.16 (* end of lemma zenon_L605_ *)
% 7.95/8.16 assert (zenon_L606_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H162 zenon_Hb9 zenon_H6e zenon_Hdb zenon_Hb0 zenon_H81 zenon_Hd6 zenon_H8f.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 7.95/8.16 apply (zenon_L449_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 7.95/8.16 exact (zenon_Hdb zenon_H6d).
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 7.95/8.16 apply (zenon_L120_); trivial.
% 7.95/8.16 apply (zenon_L605_); trivial.
% 7.95/8.16 (* end of lemma zenon_L606_ *)
% 7.95/8.16 assert (zenon_L607_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (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))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H124 zenon_H99 zenon_H2c zenon_H10b zenon_H9f zenon_Hc3 zenon_H67 zenon_H25 zenon_H8f zenon_Hd6 zenon_H81 zenon_Hdb zenon_H6e zenon_Hb9 zenon_H162 zenon_H6c.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 7.95/8.16 apply (zenon_L462_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 7.95/8.16 apply (zenon_L128_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 7.95/8.16 apply (zenon_L115_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.95/8.16 apply (zenon_L333_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.95/8.16 apply (zenon_L24_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.95/8.16 apply (zenon_L606_); trivial.
% 7.95/8.16 apply (zenon_L57_); trivial.
% 7.95/8.16 (* end of lemma zenon_L607_ *)
% 7.95/8.16 assert (zenon_L608_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((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 (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> (~((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).
% 7.95/8.16 do 0 intro. intros zenon_H142 zenon_H55 zenon_Hdb zenon_Hec zenon_H89 zenon_H10e zenon_H95 zenon_H8f zenon_Hb9 zenon_H67 zenon_H31 zenon_H6c zenon_Hca zenon_H2c zenon_H25 zenon_Hcc zenon_H9f zenon_H99 zenon_H64 zenon_Hd6.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 7.95/8.16 apply (zenon_L15_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H2d | zenon_intro zenon_Hcd ].
% 7.95/8.16 apply (zenon_L5_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hce ].
% 7.95/8.16 apply (zenon_L228_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 7.95/8.16 apply (zenon_L471_); trivial.
% 7.95/8.16 exact (zenon_Hdb zenon_H6d).
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 7.95/8.16 apply (zenon_L169_); trivial.
% 7.95/8.16 apply (zenon_L156_); trivial.
% 7.95/8.16 (* end of lemma zenon_L608_ *)
% 7.95/8.16 assert (zenon_L609_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H11b zenon_H127 zenon_H29 zenon_H113 zenon_H20 zenon_H9f zenon_H1ec zenon_H3e.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H111 | zenon_intro zenon_H11c ].
% 7.95/8.16 exact (zenon_H127 zenon_H111).
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H37 | zenon_intro zenon_H11d ].
% 7.95/8.16 apply (zenon_L119_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H36 | zenon_intro zenon_H44 ].
% 7.95/8.16 apply (zenon_L44_); trivial.
% 7.95/8.16 apply (zenon_L558_); trivial.
% 7.95/8.16 (* end of lemma zenon_L609_ *)
% 7.95/8.16 assert (zenon_L610_ : (((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 (e1) (e3)))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_Hcc zenon_H25 zenon_H2c zenon_H130 zenon_H8f zenon_Hd6 zenon_H81 zenon_Hb0 zenon_Hb9 zenon_H162 zenon_Hdb.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H2d | zenon_intro zenon_Hcd ].
% 7.95/8.16 apply (zenon_L5_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hce ].
% 7.95/8.16 apply (zenon_L603_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 7.95/8.16 apply (zenon_L606_); trivial.
% 7.95/8.16 exact (zenon_Hdb zenon_H6d).
% 7.95/8.16 (* end of lemma zenon_L610_ *)
% 7.95/8.16 assert (zenon_L611_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H102 zenon_H67 zenon_H131 zenon_Hcf zenon_H1ec zenon_H3e zenon_H14a zenon_H37 zenon_H43 zenon_H115 zenon_H81 zenon_H10b zenon_Hf8 zenon_H127 zenon_H209 zenon_H9f zenon_H5a zenon_H1cd.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H92 | zenon_intro zenon_H103 ].
% 7.95/8.16 apply (zenon_L313_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H7f | zenon_intro zenon_H104 ].
% 7.95/8.16 apply (zenon_L560_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hfc ].
% 7.95/8.16 apply (zenon_L453_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H44 | zenon_intro zenon_H14b ].
% 7.95/8.16 apply (zenon_L11_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_He0 | zenon_intro zenon_H14c ].
% 7.95/8.16 apply (zenon_L466_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H148 | zenon_intro zenon_Hf7 ].
% 7.95/8.16 apply (zenon_L178_); trivial.
% 7.95/8.16 apply (zenon_L335_); trivial.
% 7.95/8.16 (* end of lemma zenon_L611_ *)
% 7.95/8.16 assert (zenon_L612_ : ((op (e2) (e2)) = (e2)) -> ((op (e2) (e2)) = (e3)) -> (~((e2) = (e3))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H9f zenon_H15c zenon_H6c.
% 7.95/8.16 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 7.95/8.16 cut (((e3) = (e3)) = ((e2) = (e3))).
% 7.95/8.16 intro zenon_D_pnotp.
% 7.95/8.16 apply zenon_H6c.
% 7.95/8.16 rewrite <- zenon_D_pnotp.
% 7.95/8.16 exact zenon_H68.
% 7.95/8.16 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 7.95/8.16 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9d].
% 7.95/8.16 congruence.
% 7.95/8.16 cut (((op (e2) (e2)) = (e2)) = ((e3) = (e2))).
% 7.95/8.16 intro zenon_D_pnotp.
% 7.95/8.16 apply zenon_H9d.
% 7.95/8.16 rewrite <- zenon_D_pnotp.
% 7.95/8.16 exact zenon_H9f.
% 7.95/8.16 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 7.95/8.16 cut (((op (e2) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1d6].
% 7.95/8.16 congruence.
% 7.95/8.16 exact (zenon_H1d6 zenon_H15c).
% 7.95/8.16 apply zenon_H22. apply refl_equal.
% 7.95/8.16 apply zenon_H69. apply refl_equal.
% 7.95/8.16 apply zenon_H69. apply refl_equal.
% 7.95/8.16 (* end of lemma zenon_L612_ *)
% 7.95/8.16 assert (zenon_L613_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((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)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False).
% 7.95/8.16 do 0 intro. intros zenon_H1d0 zenon_Hdb zenon_H162 zenon_Hb9 zenon_Hd6 zenon_H8f zenon_H130 zenon_H2c zenon_H25 zenon_Hcc zenon_H81 zenon_H6c zenon_H209 zenon_H127 zenon_He0 zenon_H10b zenon_H9f zenon_Hf8.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d1 ].
% 7.95/8.16 apply (zenon_L610_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H115 | zenon_intro zenon_H1d2 ].
% 7.95/8.16 apply (zenon_L466_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15c | zenon_intro zenon_Hf7 ].
% 7.95/8.16 apply (zenon_L612_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H111 | zenon_intro zenon_H20a ].
% 7.95/8.16 exact (zenon_H127 zenon_H111).
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_Hcf | zenon_intro zenon_H20b ].
% 7.95/8.16 apply (zenon_L177_); trivial.
% 7.95/8.16 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H82 | zenon_intro zenon_Hb0 ].
% 7.95/8.16 apply (zenon_L115_); trivial.
% 7.95/8.16 apply (zenon_L108_); trivial.
% 7.95/8.16 (* end of lemma zenon_L613_ *)
% 7.95/8.16 assert (zenon_L614_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (e1))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((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)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False).
% 7.95/8.17 do 0 intro. intros zenon_H1ca zenon_H228 zenon_H70 zenon_H18e zenon_H102 zenon_H67 zenon_H131 zenon_H1ec zenon_H3e zenon_H14a zenon_H37 zenon_H43 zenon_H5a zenon_H1cd zenon_H118 zenon_H99 zenon_H1d0 zenon_Hdb zenon_H162 zenon_Hb9 zenon_Hd6 zenon_H8f zenon_H130 zenon_H2c zenon_H25 zenon_Hcc zenon_H81 zenon_H6c zenon_H209 zenon_H127 zenon_H10b zenon_H9f zenon_Hf8.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1cb ].
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d1 ].
% 7.95/8.17 apply (zenon_L610_); trivial.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H115 | zenon_intro zenon_H1d2 ].
% 7.95/8.17 apply (zenon_L611_); trivial.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15c | zenon_intro zenon_Hf7 ].
% 7.95/8.17 apply (zenon_L273_); trivial.
% 7.95/8.17 exact (zenon_H228 zenon_Hf7).
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1cc ].
% 7.95/8.17 exact (zenon_H118 zenon_Hd2).
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H13e | zenon_intro zenon_He0 ].
% 7.95/8.17 apply (zenon_L169_); trivial.
% 7.95/8.17 apply (zenon_L613_); trivial.
% 7.95/8.17 (* end of lemma zenon_L614_ *)
% 7.95/8.17 assert (zenon_L615_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((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)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False).
% 7.95/8.17 do 0 intro. intros zenon_H1ca zenon_H131 zenon_H7f zenon_H5a zenon_H1ec zenon_H3e zenon_H14a zenon_H118 zenon_H99 zenon_H1d0 zenon_Hdb zenon_H162 zenon_Hb9 zenon_Hd6 zenon_H8f zenon_H130 zenon_H2c zenon_H25 zenon_Hcc zenon_H81 zenon_H6c zenon_H209 zenon_H127 zenon_H10b zenon_H9f zenon_Hf8.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1cb ].
% 7.95/8.17 apply (zenon_L560_); trivial.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1cc ].
% 7.95/8.17 exact (zenon_H118 zenon_Hd2).
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H13e | zenon_intro zenon_He0 ].
% 7.95/8.17 apply (zenon_L169_); trivial.
% 7.95/8.17 apply (zenon_L613_); trivial.
% 7.95/8.17 (* end of lemma zenon_L615_ *)
% 7.95/8.17 assert (zenon_L616_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((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) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 7.95/8.17 do 0 intro. intros zenon_Hc3 zenon_H67 zenon_Hdb zenon_H162 zenon_Hb9 zenon_H81 zenon_Hd6 zenon_H8f zenon_H130 zenon_H2c zenon_H25 zenon_Hcc zenon_Hbc zenon_H6c.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 7.95/8.17 apply (zenon_L333_); trivial.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 7.95/8.17 apply (zenon_L24_); trivial.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 7.95/8.17 apply (zenon_L610_); trivial.
% 7.95/8.17 apply (zenon_L57_); trivial.
% 7.95/8.17 (* end of lemma zenon_L616_ *)
% 7.95/8.17 assert (zenon_L617_ : ((op (e3) (e3)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 7.95/8.17 do 0 intro. intros zenon_H195 zenon_H93 zenon_H128.
% 7.95/8.17 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H4a | zenon_intro zenon_H4b ].
% 7.95/8.17 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e0)) = (op (e3) (e3)))).
% 7.95/8.17 intro zenon_D_pnotp.
% 7.95/8.17 apply zenon_H128.
% 7.95/8.17 rewrite <- zenon_D_pnotp.
% 7.95/8.17 exact zenon_H4a.
% 7.95/8.17 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.95/8.17 cut (((op (e3) (e3)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H129].
% 7.95/8.17 congruence.
% 7.95/8.17 cut (((op (e3) (e3)) = (e2)) = ((op (e3) (e3)) = (op (e3) (e0)))).
% 7.95/8.17 intro zenon_D_pnotp.
% 7.95/8.17 apply zenon_H129.
% 7.95/8.17 rewrite <- zenon_D_pnotp.
% 7.95/8.17 exact zenon_H195.
% 7.95/8.17 cut (((e2) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H194].
% 7.95/8.17 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.95/8.17 congruence.
% 7.95/8.17 apply zenon_H4b. apply refl_equal.
% 7.95/8.17 apply zenon_H194. apply sym_equal. exact zenon_H93.
% 7.95/8.17 apply zenon_H4b. apply refl_equal.
% 7.95/8.17 apply zenon_H4b. apply refl_equal.
% 7.95/8.17 (* end of lemma zenon_L617_ *)
% 7.95/8.17 assert (zenon_L618_ : (((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 (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 7.95/8.17 do 0 intro. intros zenon_H137 zenon_H3e zenon_H1d4 zenon_Hc6 zenon_H173 zenon_H12d zenon_H195 zenon_Hf7 zenon_H131.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H41 | zenon_intro zenon_H138 ].
% 7.95/8.17 apply (zenon_L373_); trivial.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hde | zenon_intro zenon_H139 ].
% 7.95/8.17 apply (zenon_L306_); trivial.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hdc | zenon_intro zenon_H7f ].
% 7.95/8.17 apply (zenon_L458_); trivial.
% 7.95/8.17 apply (zenon_L559_); trivial.
% 7.95/8.17 (* end of lemma zenon_L618_ *)
% 7.95/8.17 assert (zenon_L619_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> False).
% 7.95/8.17 do 0 intro. intros zenon_H229 zenon_H37 zenon_H113 zenon_H154 zenon_Hd6 zenon_H89 zenon_H6e zenon_Hb9.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H29 | zenon_intro zenon_H22a ].
% 7.95/8.17 apply (zenon_L119_); trivial.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_Hbb | zenon_intro zenon_H22b ].
% 7.95/8.17 apply (zenon_L195_); trivial.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H5b | zenon_intro zenon_H88 ].
% 7.95/8.17 apply (zenon_L84_); trivial.
% 7.95/8.17 apply (zenon_L449_); trivial.
% 7.95/8.17 (* end of lemma zenon_L619_ *)
% 7.95/8.17 assert (zenon_L620_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((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 (e0) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 7.95/8.17 do 0 intro. intros zenon_Hcc zenon_H25 zenon_H2c zenon_H131 zenon_Hf7 zenon_H195 zenon_H12d zenon_H173 zenon_H1d4 zenon_H3e zenon_H137 zenon_Hb9 zenon_H89 zenon_Hd6 zenon_H154 zenon_H113 zenon_H37 zenon_H229 zenon_Hdb.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H2d | zenon_intro zenon_Hcd ].
% 7.95/8.17 apply (zenon_L5_); trivial.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hce ].
% 7.95/8.17 apply (zenon_L618_); trivial.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 7.95/8.17 apply (zenon_L619_); trivial.
% 7.95/8.17 exact (zenon_Hdb zenon_H6d).
% 7.95/8.17 (* end of lemma zenon_L620_ *)
% 7.95/8.17 assert (zenon_L621_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (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 (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (e1))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((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)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False).
% 7.95/8.17 do 0 intro. intros zenon_H1ca zenon_H229 zenon_H37 zenon_H113 zenon_H154 zenon_H89 zenon_H137 zenon_H3e zenon_H1d4 zenon_H173 zenon_H12d zenon_H195 zenon_H131 zenon_H70 zenon_H18e zenon_H102 zenon_H67 zenon_H1ec zenon_H14a zenon_H43 zenon_H5a zenon_H1cd zenon_H118 zenon_H99 zenon_H1d0 zenon_Hdb zenon_H162 zenon_Hb9 zenon_Hd6 zenon_H8f zenon_H130 zenon_H2c zenon_H25 zenon_Hcc zenon_H81 zenon_H6c zenon_H209 zenon_H127 zenon_H10b zenon_H9f zenon_Hf8.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1cb ].
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d1 ].
% 7.95/8.17 apply (zenon_L610_); trivial.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H115 | zenon_intro zenon_H1d2 ].
% 7.95/8.17 apply (zenon_L611_); trivial.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15c | zenon_intro zenon_Hf7 ].
% 7.95/8.17 apply (zenon_L273_); trivial.
% 7.95/8.17 apply (zenon_L620_); trivial.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1cc ].
% 7.95/8.17 exact (zenon_H118 zenon_Hd2).
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H13e | zenon_intro zenon_He0 ].
% 7.95/8.17 apply (zenon_L169_); trivial.
% 7.95/8.17 apply (zenon_L613_); trivial.
% 7.95/8.17 (* end of lemma zenon_L621_ *)
% 7.95/8.17 assert (zenon_L622_ : ((op (e3) (e3)) = (e2)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.17 do 0 intro. intros zenon_H195 zenon_Hbc zenon_He4.
% 7.95/8.17 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H4a | zenon_intro zenon_H4b ].
% 7.95/8.17 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e0) (e3)) = (op (e3) (e3)))).
% 7.95/8.17 intro zenon_D_pnotp.
% 7.95/8.17 apply zenon_He4.
% 7.95/8.17 rewrite <- zenon_D_pnotp.
% 7.95/8.17 exact zenon_H4a.
% 7.95/8.17 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.95/8.17 cut (((op (e3) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He5].
% 7.95/8.17 congruence.
% 7.95/8.17 cut (((op (e3) (e3)) = (e2)) = ((op (e3) (e3)) = (op (e0) (e3)))).
% 7.95/8.17 intro zenon_D_pnotp.
% 7.95/8.17 apply zenon_He5.
% 7.95/8.17 rewrite <- zenon_D_pnotp.
% 7.95/8.17 exact zenon_H195.
% 7.95/8.17 cut (((e2) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hbf].
% 7.95/8.17 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 7.95/8.17 congruence.
% 7.95/8.17 apply zenon_H4b. apply refl_equal.
% 7.95/8.17 apply zenon_Hbf. apply sym_equal. exact zenon_Hbc.
% 7.95/8.17 apply zenon_H4b. apply refl_equal.
% 7.95/8.17 apply zenon_H4b. apply refl_equal.
% 7.95/8.17 (* end of lemma zenon_L622_ *)
% 7.95/8.17 assert (zenon_L623_ : (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e3)) = (e1)) -> False).
% 7.95/8.17 do 0 intro. intros zenon_H12b zenon_Hdb zenon_Hd6.
% 7.95/8.17 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hfc. zenon_intro zenon_H12c.
% 7.95/8.17 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H1f1. zenon_intro zenon_H1f0.
% 7.95/8.17 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H193. zenon_intro zenon_H22c.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H165 | zenon_intro zenon_H6d ].
% 7.95/8.17 exact (zenon_H165 zenon_Hd6).
% 7.95/8.17 exact (zenon_Hdb zenon_H6d).
% 7.95/8.17 (* end of lemma zenon_L623_ *)
% 7.95/8.17 assert (zenon_L624_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> False).
% 7.95/8.17 do 0 intro. intros zenon_H117 zenon_H44 zenon_H43 zenon_H38 zenon_H82 zenon_H81 zenon_H2d zenon_H13e.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H37 | zenon_intro zenon_H119 ].
% 7.95/8.17 apply (zenon_L11_); trivial.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H11a ].
% 7.95/8.17 apply (zenon_L390_); trivial.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H83 | zenon_intro zenon_H115 ].
% 7.95/8.17 apply (zenon_L35_); trivial.
% 7.95/8.17 apply (zenon_L325_); trivial.
% 7.95/8.17 (* end of lemma zenon_L624_ *)
% 7.95/8.17 assert (zenon_L625_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((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 (e1) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 7.95/8.17 do 0 intro. intros zenon_H51 zenon_H30 zenon_Hca zenon_H55 zenon_H4e zenon_H1e zenon_H3d zenon_H173 zenon_H13e zenon_H2d zenon_H81 zenon_H82 zenon_H38 zenon_H43 zenon_H117 zenon_H49.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 7.95/8.17 apply (zenon_L6_); trivial.
% 7.95/8.17 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 7.95/8.17 apply (zenon_L293_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 8.02/8.17 apply (zenon_L155_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 8.02/8.17 apply (zenon_L9_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 8.02/8.17 apply (zenon_L330_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 8.02/8.17 apply (zenon_L624_); trivial.
% 8.02/8.17 apply (zenon_L12_); trivial.
% 8.02/8.17 (* end of lemma zenon_L625_ *)
% 8.02/8.17 assert (zenon_L626_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H51 zenon_H67 zenon_H8e zenon_H2d zenon_Hca zenon_H55 zenon_H13e zenon_H47 zenon_H49.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 8.02/8.17 apply (zenon_L123_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 8.02/8.17 apply (zenon_L293_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 8.02/8.17 apply (zenon_L155_); trivial.
% 8.02/8.17 apply (zenon_L12_); trivial.
% 8.02/8.17 (* end of lemma zenon_L626_ *)
% 8.02/8.17 assert (zenon_L627_ : (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H5e zenon_Hd6 zenon_He2.
% 8.02/8.17 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e3) (e3)))).
% 8.02/8.17 intro zenon_D_pnotp.
% 8.02/8.17 apply zenon_H5e.
% 8.02/8.17 rewrite <- zenon_D_pnotp.
% 8.02/8.17 exact zenon_Hd6.
% 8.02/8.17 cut (((e1) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H22d].
% 8.02/8.17 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H65].
% 8.02/8.17 congruence.
% 8.02/8.17 apply zenon_H65. apply refl_equal.
% 8.02/8.17 apply zenon_H22d. apply sym_equal. exact zenon_He2.
% 8.02/8.17 (* end of lemma zenon_L627_ *)
% 8.02/8.17 assert (zenon_L628_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e0)) = (e3)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H205 zenon_H49 zenon_H13e zenon_H55 zenon_Hca zenon_H2d zenon_H8e zenon_H67 zenon_H51 zenon_Hd6 zenon_H5e zenon_He4 zenon_Hbc zenon_H7f zenon_H12d.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H47 | zenon_intro zenon_H206 ].
% 8.02/8.17 apply (zenon_L626_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_He2 | zenon_intro zenon_H207 ].
% 8.02/8.17 apply (zenon_L627_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H195 | zenon_intro zenon_Hfc ].
% 8.02/8.17 apply (zenon_L622_); trivial.
% 8.02/8.17 apply (zenon_L139_); trivial.
% 8.02/8.17 (* end of lemma zenon_L628_ *)
% 8.02/8.17 assert (zenon_L629_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((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) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H102 zenon_Hc0 zenon_Hbc zenon_He4 zenon_H5e zenon_Hd6 zenon_H51 zenon_H8e zenon_H2d zenon_Hca zenon_H55 zenon_H13e zenon_H49 zenon_H205 zenon_H67 zenon_H137 zenon_H44 zenon_H131 zenon_Hc7 zenon_H40 zenon_H9c zenon_H134 zenon_H12d.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H92 | zenon_intro zenon_H103 ].
% 8.02/8.17 exact (zenon_Hc0 zenon_H92).
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H7f | zenon_intro zenon_H104 ].
% 8.02/8.17 apply (zenon_L628_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hfc ].
% 8.02/8.17 apply (zenon_L392_); trivial.
% 8.02/8.17 apply (zenon_L146_); trivial.
% 8.02/8.17 (* end of lemma zenon_L629_ *)
% 8.02/8.17 assert (zenon_L630_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e0)) = (e3)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H4e zenon_Hb2 zenon_H173 zenon_H12d zenon_H134 zenon_H9c zenon_H40 zenon_Hc7 zenon_H131 zenon_H137 zenon_H67 zenon_H205 zenon_H13e zenon_H55 zenon_Hca zenon_H2d zenon_H8e zenon_H51 zenon_Hd6 zenon_H5e zenon_He4 zenon_Hbc zenon_Hc0 zenon_H102 zenon_H48 zenon_H49.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 8.02/8.17 apply (zenon_L50_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 8.02/8.17 apply (zenon_L330_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 8.02/8.17 apply (zenon_L629_); trivial.
% 8.02/8.17 apply (zenon_L12_); trivial.
% 8.02/8.17 (* end of lemma zenon_L630_ *)
% 8.02/8.17 assert (zenon_L631_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H22e zenon_H1e zenon_H30 zenon_H17f zenon_H9b zenon_H4e zenon_Hb2 zenon_H173 zenon_H12d zenon_H134 zenon_H9c zenon_H40 zenon_Hc7 zenon_H131 zenon_H137 zenon_H67 zenon_H205 zenon_H13e zenon_H55 zenon_Hca zenon_H2d zenon_H51 zenon_Hd6 zenon_H5e zenon_He4 zenon_Hbc zenon_Hc0 zenon_H102 zenon_H48 zenon_H49.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H31 | zenon_intro zenon_H22f ].
% 8.02/8.17 apply (zenon_L6_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H54 | zenon_intro zenon_H230 ].
% 8.02/8.17 apply (zenon_L244_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H98 | zenon_intro zenon_H8e ].
% 8.02/8.17 exact (zenon_H9b zenon_H98).
% 8.02/8.17 apply (zenon_L630_); trivial.
% 8.02/8.17 (* end of lemma zenon_L631_ *)
% 8.02/8.17 assert (zenon_L632_ : (((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) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H51 zenon_H1e zenon_H30 zenon_H2d zenon_Hca zenon_H55 zenon_H13e zenon_H47 zenon_H49.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 8.02/8.17 apply (zenon_L6_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 8.02/8.17 apply (zenon_L293_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 8.02/8.17 apply (zenon_L155_); trivial.
% 8.02/8.17 apply (zenon_L12_); trivial.
% 8.02/8.17 (* end of lemma zenon_L632_ *)
% 8.02/8.17 assert (zenon_L633_ : ((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (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))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0)))/\(((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0)))/\((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H231 zenon_H15f zenon_Hf1 zenon_H10b zenon_H154 zenon_Hd6 zenon_H124 zenon_He7 zenon_H5a zenon_H17f zenon_H205 zenon_H12d zenon_He4 zenon_H5e zenon_H67 zenon_H137 zenon_H134 zenon_H40 zenon_H131 zenon_H102 zenon_H22e zenon_H30 zenon_Hca zenon_H2d zenon_H13e zenon_H4e zenon_H49 zenon_H43 zenon_H38 zenon_H81 zenon_H117 zenon_H173 zenon_H3d zenon_H51 zenon_H9c zenon_H33 zenon_H20 zenon_Had zenon_Hb6 zenon_H1e zenon_H55 zenon_H221.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H9b | zenon_intro zenon_H36 ].
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H47 ].
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.17 apply (zenon_L442_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.17 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.17 apply (zenon_L442_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.17 apply (zenon_L195_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.17 apply (zenon_L75_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.17 apply (zenon_L296_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.17 apply (zenon_L625_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 8.02/8.17 apply (zenon_L15_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 8.02/8.17 apply (zenon_L293_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 8.02/8.17 apply (zenon_L155_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hb2 | zenon_intro zenon_He8 ].
% 8.02/8.17 apply (zenon_L631_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ].
% 8.02/8.17 apply (zenon_L144_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_He0 | zenon_intro zenon_He2 ].
% 8.02/8.17 apply (zenon_L190_); trivial.
% 8.02/8.17 apply (zenon_L627_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.17 apply (zenon_L2_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.17 apply (zenon_L296_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.17 apply (zenon_L625_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 8.02/8.17 apply (zenon_L6_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 8.02/8.17 apply (zenon_L293_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 8.02/8.17 apply (zenon_L155_); trivial.
% 8.02/8.17 apply (zenon_L631_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.17 apply (zenon_L175_); trivial.
% 8.02/8.17 apply (zenon_L93_); trivial.
% 8.02/8.17 apply (zenon_L632_); trivial.
% 8.02/8.17 apply (zenon_L155_); trivial.
% 8.02/8.17 (* end of lemma zenon_L633_ *)
% 8.02/8.17 assert (zenon_L634_ : (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0)))/\(((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0)))/\((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e2) (e0)) = (e2)) -> False).
% 8.02/8.17 do 0 intro. intros zenon_Had zenon_H16a zenon_H98.
% 8.02/8.17 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H1e. zenon_intro zenon_Hae.
% 8.02/8.17 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 8.02/8.17 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_Hb4. zenon_intro zenon_H1af.
% 8.02/8.17 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H231. zenon_intro zenon_H221.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H9b | zenon_intro zenon_H36 ].
% 8.02/8.17 exact (zenon_H9b zenon_H98).
% 8.02/8.17 exact (zenon_H16a zenon_H36).
% 8.02/8.17 (* end of lemma zenon_L634_ *)
% 8.02/8.17 assert (zenon_L635_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H1d4 zenon_Hb2 zenon_Hde.
% 8.02/8.17 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (e0)) = (op (e3) (e1)))).
% 8.02/8.17 intro zenon_D_pnotp.
% 8.02/8.17 apply zenon_H1d4.
% 8.02/8.17 rewrite <- zenon_D_pnotp.
% 8.02/8.17 exact zenon_Hb2.
% 8.02/8.17 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H133].
% 8.02/8.17 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 8.02/8.17 congruence.
% 8.02/8.17 apply zenon_H181. apply refl_equal.
% 8.02/8.17 apply zenon_H133. apply sym_equal. exact zenon_Hde.
% 8.02/8.17 (* end of lemma zenon_L635_ *)
% 8.02/8.17 assert (zenon_L636_ : (((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 (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H137 zenon_H44 zenon_H131 zenon_Hb2 zenon_H1d4 zenon_H6e zenon_H173 zenon_Hfc zenon_H12d.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H41 | zenon_intro zenon_H138 ].
% 8.02/8.17 apply (zenon_L143_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hde | zenon_intro zenon_H139 ].
% 8.02/8.17 apply (zenon_L635_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hdc | zenon_intro zenon_H7f ].
% 8.02/8.17 apply (zenon_L231_); trivial.
% 8.02/8.17 apply (zenon_L139_); trivial.
% 8.02/8.17 (* end of lemma zenon_L636_ *)
% 8.02/8.17 assert (zenon_L637_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H162 zenon_H86 zenon_H28 zenon_H6e zenon_H6c zenon_H38 zenon_H15c zenon_Hfc zenon_H5e.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 8.02/8.17 apply (zenon_L213_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 8.02/8.17 apply (zenon_L26_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 8.02/8.17 apply (zenon_L409_); trivial.
% 8.02/8.17 apply (zenon_L109_); trivial.
% 8.02/8.17 (* end of lemma zenon_L637_ *)
% 8.02/8.17 assert (zenon_L638_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H1c7 zenon_H16a zenon_Hd2 zenon_H10e zenon_H98 zenon_H162 zenon_H86 zenon_H28 zenon_H6e zenon_H6c zenon_H38 zenon_Hfc zenon_H5e.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H36 | zenon_intro zenon_H1c8 ].
% 8.02/8.17 exact (zenon_H16a zenon_H36).
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H13e | zenon_intro zenon_H1c9 ].
% 8.02/8.17 apply (zenon_L390_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H9f | zenon_intro zenon_H15c ].
% 8.02/8.17 apply (zenon_L117_); trivial.
% 8.02/8.17 apply (zenon_L637_); trivial.
% 8.02/8.17 (* end of lemma zenon_L638_ *)
% 8.02/8.17 assert (zenon_L639_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (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)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e0)) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H95 zenon_H5e zenon_Hfc zenon_H38 zenon_H28 zenon_H162 zenon_H10e zenon_Hd2 zenon_H16a zenon_H1c7 zenon_Hb9 zenon_H6e zenon_H6c zenon_H98 zenon_H67 zenon_H3e.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.17 apply (zenon_L638_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.17 apply (zenon_L449_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.17 apply (zenon_L136_); trivial.
% 8.02/8.17 apply (zenon_L313_); trivial.
% 8.02/8.17 (* end of lemma zenon_L639_ *)
% 8.02/8.17 assert (zenon_L640_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_Hc3 zenon_H67 zenon_H1e zenon_H12d zenon_H195 zenon_H98 zenon_H17c zenon_Hc6 zenon_H99 zenon_H6c zenon_H13b zenon_Hf8 zenon_Hf7 zenon_He3 zenon_H8f.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.17 apply (zenon_L36_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 8.02/8.17 apply (zenon_L338_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 8.02/8.17 apply (zenon_L67_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 8.02/8.17 apply (zenon_L238_); trivial.
% 8.02/8.17 apply (zenon_L458_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.17 apply (zenon_L108_); trivial.
% 8.02/8.17 apply (zenon_L89_); trivial.
% 8.02/8.17 (* end of lemma zenon_L640_ *)
% 8.02/8.17 assert (zenon_L641_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False).
% 8.02/8.17 do 0 intro. intros zenon_He7 zenon_Hb9 zenon_H3d zenon_Hc6 zenon_H173 zenon_H13e zenon_H5a zenon_H99 zenon_H195.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hb2 | zenon_intro zenon_He8 ].
% 8.02/8.17 apply (zenon_L416_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ].
% 8.02/8.17 apply (zenon_L306_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_He0 | zenon_intro zenon_He2 ].
% 8.02/8.17 apply (zenon_L190_); trivial.
% 8.02/8.17 apply (zenon_L532_); trivial.
% 8.02/8.17 (* end of lemma zenon_L641_ *)
% 8.02/8.17 assert (zenon_L642_ : (((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) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H137 zenon_H3e zenon_H1d4 zenon_Hc6 zenon_H173 zenon_H26 zenon_H40 zenon_Hf7 zenon_H131.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H41 | zenon_intro zenon_H138 ].
% 8.02/8.17 apply (zenon_L373_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hde | zenon_intro zenon_H139 ].
% 8.02/8.17 apply (zenon_L306_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hdc | zenon_intro zenon_H7f ].
% 8.02/8.17 apply (zenon_L225_); trivial.
% 8.02/8.17 apply (zenon_L559_); trivial.
% 8.02/8.17 (* end of lemma zenon_L642_ *)
% 8.02/8.17 assert (zenon_L643_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e0)) -> False).
% 8.02/8.17 do 0 intro. intros zenon_Haa zenon_H6c zenon_H26 zenon_H8f zenon_Hc6 zenon_H18e zenon_H15c zenon_H67 zenon_H41.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 8.02/8.17 apply (zenon_L338_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 8.02/8.17 apply (zenon_L71_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 8.02/8.17 apply (zenon_L273_); trivial.
% 8.02/8.17 apply (zenon_L31_); trivial.
% 8.02/8.17 (* end of lemma zenon_L643_ *)
% 8.02/8.17 assert (zenon_L644_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e0)) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H1c7 zenon_H16a zenon_He0 zenon_H5a zenon_H38 zenon_H83 zenon_Haa zenon_H6c zenon_H26 zenon_H8f zenon_Hc6 zenon_H18e zenon_H67 zenon_H41.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H36 | zenon_intro zenon_H1c8 ].
% 8.02/8.17 exact (zenon_H16a zenon_H36).
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H13e | zenon_intro zenon_H1c9 ].
% 8.02/8.17 apply (zenon_L190_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H9f | zenon_intro zenon_H15c ].
% 8.02/8.17 apply (zenon_L107_); trivial.
% 8.02/8.17 apply (zenon_L643_); trivial.
% 8.02/8.17 (* end of lemma zenon_L644_ *)
% 8.02/8.17 assert (zenon_L645_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e3) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((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 (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H1ca zenon_H55 zenon_H111 zenon_Hef zenon_H195 zenon_H99 zenon_H3d zenon_Hb9 zenon_He7 zenon_H4e zenon_H131 zenon_H1d4 zenon_H18e zenon_H8f zenon_H6c zenon_Haa zenon_H83 zenon_H38 zenon_H5a zenon_H16a zenon_H1c7 zenon_Hf7 zenon_H67 zenon_H137 zenon_H12d zenon_Hc6 zenon_H173 zenon_H26 zenon_H40 zenon_H1e9.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1cb ].
% 8.02/8.17 apply (zenon_L322_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1cc ].
% 8.02/8.17 apply (zenon_L90_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H13e | zenon_intro zenon_He0 ].
% 8.02/8.17 apply (zenon_L641_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 8.02/8.17 apply (zenon_L642_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 8.02/8.17 apply (zenon_L644_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 8.02/8.17 apply (zenon_L392_); trivial.
% 8.02/8.17 apply (zenon_L415_); trivial.
% 8.02/8.17 (* end of lemma zenon_L645_ *)
% 8.02/8.17 assert (zenon_L646_ : (((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 (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H117 zenon_H29 zenon_H113 zenon_He0 zenon_H82 zenon_H81 zenon_Hf7 zenon_H43.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H37 | zenon_intro zenon_H119 ].
% 8.02/8.17 apply (zenon_L119_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H11a ].
% 8.02/8.17 apply (zenon_L80_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H83 | zenon_intro zenon_H115 ].
% 8.02/8.17 apply (zenon_L35_); trivial.
% 8.02/8.17 apply (zenon_L453_); trivial.
% 8.02/8.17 (* end of lemma zenon_L646_ *)
% 8.02/8.17 assert (zenon_L647_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H1ca zenon_H99 zenon_Hc6 zenon_Hef zenon_H38 zenon_H111 zenon_H117 zenon_H29 zenon_H113 zenon_H82 zenon_H81 zenon_Hf7 zenon_H43.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1cb ].
% 8.02/8.17 apply (zenon_L65_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1cc ].
% 8.02/8.17 apply (zenon_L90_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H13e | zenon_intro zenon_He0 ].
% 8.02/8.17 apply (zenon_L497_); trivial.
% 8.02/8.17 apply (zenon_L646_); trivial.
% 8.02/8.17 (* end of lemma zenon_L647_ *)
% 8.02/8.17 assert (zenon_L648_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H11b zenon_H43 zenon_H81 zenon_H82 zenon_H117 zenon_H38 zenon_Hef zenon_Hc6 zenon_H99 zenon_H1ca zenon_H29 zenon_H113 zenon_H16a zenon_H67 zenon_Hf7.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H111 | zenon_intro zenon_H11c ].
% 8.02/8.17 apply (zenon_L647_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H37 | zenon_intro zenon_H11d ].
% 8.02/8.17 apply (zenon_L119_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H36 | zenon_intro zenon_H44 ].
% 8.02/8.17 exact (zenon_H16a zenon_H36).
% 8.02/8.17 apply (zenon_L392_); trivial.
% 8.02/8.17 (* end of lemma zenon_L648_ *)
% 8.02/8.17 assert (zenon_L649_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (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 (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (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) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H124 zenon_H5e zenon_H1e9 zenon_H40 zenon_H173 zenon_H12d zenon_H137 zenon_H1c7 zenon_H5a zenon_Haa zenon_H6c zenon_H8f zenon_H18e zenon_H1d4 zenon_H131 zenon_H4e zenon_He7 zenon_Hb9 zenon_H3d zenon_H55 zenon_H2c zenon_H20 zenon_H11e zenon_Hf7 zenon_H67 zenon_H16a zenon_H113 zenon_H29 zenon_H1ca zenon_H99 zenon_Hc6 zenon_Hef zenon_H38 zenon_H117 zenon_H81 zenon_H43 zenon_H11b zenon_H195 zenon_He4.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.17 apply (zenon_L462_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 8.02/8.17 apply (zenon_L17_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 8.02/8.17 apply (zenon_L128_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H111 | zenon_intro zenon_H11c ].
% 8.02/8.17 apply (zenon_L645_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H37 | zenon_intro zenon_H11d ].
% 8.02/8.17 apply (zenon_L119_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H36 | zenon_intro zenon_H44 ].
% 8.02/8.17 exact (zenon_H16a zenon_H36).
% 8.02/8.17 apply (zenon_L392_); trivial.
% 8.02/8.17 apply (zenon_L358_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.17 apply (zenon_L648_); trivial.
% 8.02/8.17 apply (zenon_L622_); trivial.
% 8.02/8.17 (* end of lemma zenon_L649_ *)
% 8.02/8.17 assert (zenon_L650_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((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 (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (~((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 (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((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)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H18b zenon_He4 zenon_H11b zenon_H43 zenon_H81 zenon_H117 zenon_H38 zenon_Hef zenon_H99 zenon_H1ca zenon_H113 zenon_H16a zenon_H67 zenon_H11e zenon_H2c zenon_H55 zenon_H3d zenon_Hb9 zenon_He7 zenon_H4e zenon_H18e zenon_H8f zenon_H6c zenon_Haa zenon_H5a zenon_H1c7 zenon_H40 zenon_H1e9 zenon_H5e zenon_H124 zenon_H98 zenon_H20 zenon_H137 zenon_H1d4 zenon_Hc6 zenon_H173 zenon_H12d zenon_H195 zenon_Hf7 zenon_H131.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 8.02/8.17 apply (zenon_L442_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 8.02/8.17 apply (zenon_L649_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 8.02/8.17 apply (zenon_L260_); trivial.
% 8.02/8.17 apply (zenon_L618_); trivial.
% 8.02/8.17 (* end of lemma zenon_L650_ *)
% 8.02/8.17 assert (zenon_L651_ : ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (op (op (e0) (e0)) (e0)))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_Hb2 zenon_H86 zenon_H232.
% 8.02/8.17 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H1f5 ].
% 8.02/8.17 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((e1) = (op (op (e0) (e0)) (e0)))).
% 8.02/8.17 intro zenon_D_pnotp.
% 8.02/8.17 apply zenon_H232.
% 8.02/8.17 rewrite <- zenon_D_pnotp.
% 8.02/8.17 exact zenon_H1f4.
% 8.02/8.17 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f5].
% 8.02/8.17 cut (((op (op (e0) (e0)) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H233].
% 8.02/8.17 congruence.
% 8.02/8.17 cut (((op (e3) (e0)) = (e1)) = ((op (op (e0) (e0)) (e0)) = (e1))).
% 8.02/8.17 intro zenon_D_pnotp.
% 8.02/8.17 apply zenon_H233.
% 8.02/8.17 rewrite <- zenon_D_pnotp.
% 8.02/8.17 exact zenon_Hb2.
% 8.02/8.17 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 8.02/8.17 cut (((op (e3) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21b].
% 8.02/8.17 congruence.
% 8.02/8.17 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H1f5 ].
% 8.02/8.17 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((op (e3) (e0)) = (op (op (e0) (e0)) (e0)))).
% 8.02/8.17 intro zenon_D_pnotp.
% 8.02/8.17 apply zenon_H21b.
% 8.02/8.17 rewrite <- zenon_D_pnotp.
% 8.02/8.17 exact zenon_H1f4.
% 8.02/8.17 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f5].
% 8.02/8.17 cut (((op (op (e0) (e0)) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H218].
% 8.02/8.17 congruence.
% 8.02/8.17 apply (zenon_L538_); trivial.
% 8.02/8.17 apply zenon_H1f5. apply refl_equal.
% 8.02/8.17 apply zenon_H1f5. apply refl_equal.
% 8.02/8.17 apply zenon_H57. apply refl_equal.
% 8.02/8.17 apply zenon_H1f5. apply refl_equal.
% 8.02/8.17 apply zenon_H1f5. apply refl_equal.
% 8.02/8.17 (* end of lemma zenon_L651_ *)
% 8.02/8.17 assert (zenon_L652_ : ((op (e3) (e3)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H195 zenon_Hb2 zenon_H86.
% 8.02/8.17 apply (zenon_notand_s _ _ ax19); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H234 ].
% 8.02/8.17 elim (classic ((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1fb ].
% 8.02/8.17 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0)))) = ((e2) = (op (op (e0) (e0)) (op (e0) (e0))))).
% 8.02/8.17 intro zenon_D_pnotp.
% 8.02/8.17 apply zenon_H1f9.
% 8.02/8.17 rewrite <- zenon_D_pnotp.
% 8.02/8.17 exact zenon_H1fa.
% 8.02/8.17 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1fb].
% 8.02/8.17 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1fc].
% 8.02/8.17 congruence.
% 8.02/8.17 cut (((op (e3) (e3)) = (e2)) = ((op (op (e0) (e0)) (op (e0) (e0))) = (e2))).
% 8.02/8.17 intro zenon_D_pnotp.
% 8.02/8.17 apply zenon_H1fc.
% 8.02/8.17 rewrite <- zenon_D_pnotp.
% 8.02/8.17 exact zenon_H195.
% 8.02/8.17 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 8.02/8.17 cut (((op (e3) (e3)) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H21d].
% 8.02/8.17 congruence.
% 8.02/8.17 elim (classic ((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1fb ].
% 8.02/8.17 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0)))) = ((op (e3) (e3)) = (op (op (e0) (e0)) (op (e0) (e0))))).
% 8.02/8.17 intro zenon_D_pnotp.
% 8.02/8.17 apply zenon_H21d.
% 8.02/8.17 rewrite <- zenon_D_pnotp.
% 8.02/8.17 exact zenon_H1fa.
% 8.02/8.17 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1fb].
% 8.02/8.17 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H217].
% 8.02/8.17 congruence.
% 8.02/8.17 apply (zenon_L537_); trivial.
% 8.02/8.17 apply zenon_H1fb. apply refl_equal.
% 8.02/8.17 apply zenon_H1fb. apply refl_equal.
% 8.02/8.17 apply zenon_H22. apply refl_equal.
% 8.02/8.17 apply zenon_H1fb. apply refl_equal.
% 8.02/8.17 apply zenon_H1fb. apply refl_equal.
% 8.02/8.17 apply (zenon_notand_s _ _ zenon_H234); [ zenon_intro zenon_H21e | zenon_intro zenon_H232 ].
% 8.02/8.17 apply zenon_H21e. apply sym_equal. exact zenon_H86.
% 8.02/8.17 apply (zenon_L651_); trivial.
% 8.02/8.17 (* end of lemma zenon_L652_ *)
% 8.02/8.17 assert (zenon_L653_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_Hc3 zenon_Hb2 zenon_H195 zenon_H6c zenon_H26 zenon_H67 zenon_H111 zenon_He3 zenon_H8f.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.17 apply (zenon_L652_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.17 apply (zenon_L338_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.17 apply (zenon_L118_); trivial.
% 8.02/8.17 apply (zenon_L89_); trivial.
% 8.02/8.17 (* end of lemma zenon_L653_ *)
% 8.02/8.17 assert (zenon_L654_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H124 zenon_H30 zenon_H98 zenon_H8f zenon_He3 zenon_H67 zenon_H6c zenon_Hb2 zenon_Hc3 zenon_H43 zenon_Hf7 zenon_H81 zenon_H38 zenon_H13e zenon_H111 zenon_H117 zenon_H195 zenon_He4.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.17 apply (zenon_L212_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.17 apply (zenon_L653_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.17 apply (zenon_L497_); trivial.
% 8.02/8.17 apply (zenon_L622_); trivial.
% 8.02/8.17 (* end of lemma zenon_L654_ *)
% 8.02/8.17 assert (zenon_L655_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H11b zenon_H200 zenon_H15a zenon_H29 zenon_H113 zenon_H16a zenon_H67 zenon_Hf7.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H111 | zenon_intro zenon_H11c ].
% 8.02/8.17 apply (zenon_L450_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H37 | zenon_intro zenon_H11d ].
% 8.02/8.17 apply (zenon_L119_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H36 | zenon_intro zenon_H44 ].
% 8.02/8.17 exact (zenon_H16a zenon_H36).
% 8.02/8.17 apply (zenon_L392_); trivial.
% 8.02/8.17 (* end of lemma zenon_L655_ *)
% 8.02/8.17 assert (zenon_L656_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e2) (e0)) = (e2)) -> (~((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)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H18b zenon_H55 zenon_Hb9 zenon_H67 zenon_H16a zenon_H113 zenon_H15a zenon_H200 zenon_H11b zenon_H98 zenon_H20 zenon_H137 zenon_H1d4 zenon_Hc6 zenon_H173 zenon_H12d zenon_H195 zenon_Hf7 zenon_H131.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 8.02/8.17 apply (zenon_L442_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 8.02/8.17 apply (zenon_L655_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 8.02/8.17 apply (zenon_L260_); trivial.
% 8.02/8.17 apply (zenon_L618_); trivial.
% 8.02/8.17 (* end of lemma zenon_L656_ *)
% 8.02/8.17 assert (zenon_L657_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (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 (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((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)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (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 (e3) (e1)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((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 (e2) (e0)) = (e2)) -> (((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)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H235 zenon_Hf8 zenon_H13b zenon_H17c zenon_H10a zenon_He4 zenon_H117 zenon_H38 zenon_H81 zenon_H43 zenon_Hc3 zenon_H6c zenon_H8f zenon_H30 zenon_H124 zenon_H99 zenon_H89 zenon_Hef zenon_H1ca zenon_H11e zenon_H3d zenon_He7 zenon_H4e zenon_H18e zenon_Haa zenon_H5a zenon_H1c7 zenon_H40 zenon_H1e9 zenon_H5e zenon_Hb6 zenon_H15f zenon_H131 zenon_Hf7 zenon_H195 zenon_H12d zenon_H173 zenon_H1d4 zenon_H137 zenon_H20 zenon_H98 zenon_H11b zenon_H200 zenon_H113 zenon_H16a zenon_H67 zenon_H18b zenon_H2c zenon_Hc6 zenon_H13e zenon_H10b zenon_H55.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1e | zenon_intro zenon_H236 ].
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.17 apply (zenon_L442_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.17 apply (zenon_L61_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.17 apply (zenon_L175_); trivial.
% 8.02/8.17 apply (zenon_L640_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H25 | zenon_intro zenon_H237 ].
% 8.02/8.17 exact (zenon_H10a zenon_H25).
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H111 | zenon_intro zenon_H15a ].
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.17 apply (zenon_L650_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.17 apply (zenon_L61_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.17 apply (zenon_L322_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.17 apply (zenon_L650_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.17 apply (zenon_L221_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.17 apply (zenon_L41_); trivial.
% 8.02/8.17 apply (zenon_L654_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.17 apply (zenon_L656_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.17 apply (zenon_L61_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.17 apply (zenon_L175_); trivial.
% 8.02/8.17 apply (zenon_L249_); trivial.
% 8.02/8.17 (* end of lemma zenon_L657_ *)
% 8.02/8.17 assert (zenon_L658_ : (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e2) (e0)) = (e2)) -> (~((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 (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (e3))) -> (~((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 (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 (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (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)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (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) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e0)) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H55 zenon_H10b zenon_H2c zenon_H18b zenon_H16a zenon_H113 zenon_H200 zenon_H11b zenon_H98 zenon_H20 zenon_H137 zenon_H1d4 zenon_H173 zenon_H12d zenon_H195 zenon_Hf7 zenon_H131 zenon_H15f zenon_Hb6 zenon_H5e zenon_H1e9 zenon_H40 zenon_H1c7 zenon_H5a zenon_H4e zenon_He7 zenon_H3d zenon_H11e zenon_H1ca zenon_Hef zenon_H89 zenon_H99 zenon_H124 zenon_H30 zenon_Hc3 zenon_H43 zenon_H81 zenon_H117 zenon_He4 zenon_H10a zenon_H17c zenon_H13b zenon_Hf8 zenon_H235 zenon_H38 zenon_H83 zenon_Haa zenon_H6c zenon_H26 zenon_H8f zenon_Hc6 zenon_H18e zenon_H67 zenon_H41.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H36 | zenon_intro zenon_H1c8 ].
% 8.02/8.17 exact (zenon_H16a zenon_H36).
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H13e | zenon_intro zenon_H1c9 ].
% 8.02/8.17 apply (zenon_L657_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H9f | zenon_intro zenon_H15c ].
% 8.02/8.17 apply (zenon_L107_); trivial.
% 8.02/8.17 apply (zenon_L643_); trivial.
% 8.02/8.17 (* end of lemma zenon_L658_ *)
% 8.02/8.17 assert (zenon_L659_ : (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (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) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((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)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (((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)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H18e zenon_H8f zenon_H6c zenon_Haa zenon_H83 zenon_H38 zenon_H235 zenon_Hf8 zenon_H13b zenon_H17c zenon_H10a zenon_He4 zenon_H117 zenon_H81 zenon_H43 zenon_Hc3 zenon_H30 zenon_H124 zenon_H99 zenon_H89 zenon_Hef zenon_H1ca zenon_H11e zenon_H3d zenon_He7 zenon_H4e zenon_H5a zenon_H1c7 zenon_H5e zenon_Hb6 zenon_H15f zenon_H131 zenon_H195 zenon_H1d4 zenon_H20 zenon_H98 zenon_H11b zenon_H200 zenon_H113 zenon_H16a zenon_H18b zenon_H2c zenon_H10b zenon_H55 zenon_Hf7 zenon_H67 zenon_H137 zenon_H12d zenon_Hc6 zenon_H173 zenon_H26 zenon_H40 zenon_H1e9.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 8.02/8.17 apply (zenon_L618_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 8.02/8.17 apply (zenon_L658_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 8.02/8.17 apply (zenon_L392_); trivial.
% 8.02/8.17 apply (zenon_L415_); trivial.
% 8.02/8.17 (* end of lemma zenon_L659_ *)
% 8.02/8.17 assert (zenon_L660_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((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)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_H18b zenon_He4 zenon_H1ca zenon_H99 zenon_Hef zenon_H38 zenon_H111 zenon_H117 zenon_H113 zenon_H81 zenon_H43 zenon_H11e zenon_H2c zenon_H1e9 zenon_H40 zenon_H67 zenon_H1c7 zenon_H16a zenon_H5a zenon_Haa zenon_H6c zenon_H8f zenon_H18e zenon_H4e zenon_He7 zenon_Hb9 zenon_H3d zenon_H55 zenon_H5e zenon_H124 zenon_H98 zenon_H20 zenon_H137 zenon_H1d4 zenon_Hc6 zenon_H173 zenon_H12d zenon_H195 zenon_Hf7 zenon_H131.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 8.02/8.17 apply (zenon_L442_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.17 apply (zenon_L462_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 8.02/8.17 apply (zenon_L17_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 8.02/8.17 apply (zenon_L128_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 8.02/8.17 apply (zenon_L645_); trivial.
% 8.02/8.17 apply (zenon_L358_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.17 apply (zenon_L647_); trivial.
% 8.02/8.17 apply (zenon_L622_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 8.02/8.17 apply (zenon_L260_); trivial.
% 8.02/8.17 apply (zenon_L618_); trivial.
% 8.02/8.17 (* end of lemma zenon_L660_ *)
% 8.02/8.17 assert (zenon_L661_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((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 (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((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)) = (op (e1) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (e3))) -> (~((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 (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((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)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 8.02/8.17 do 0 intro. intros zenon_Hf8 zenon_H13b zenon_H17c zenon_H18b zenon_He4 zenon_H11b zenon_H43 zenon_H81 zenon_H117 zenon_H38 zenon_Hef zenon_H99 zenon_H1ca zenon_H113 zenon_H16a zenon_H67 zenon_Hc3 zenon_H6c zenon_H111 zenon_H8f zenon_H30 zenon_H124 zenon_H89 zenon_H5e zenon_H1e9 zenon_H40 zenon_H1c7 zenon_H5a zenon_Haa zenon_H18e zenon_H4e zenon_He7 zenon_H3d zenon_H55 zenon_H2c zenon_H11e zenon_Hb6 zenon_H15f zenon_H98 zenon_H20 zenon_H137 zenon_H1d4 zenon_Hc6 zenon_H173 zenon_H12d zenon_H195 zenon_Hf7 zenon_H131.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.17 apply (zenon_L660_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.17 apply (zenon_L61_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.17 apply (zenon_L322_); trivial.
% 8.02/8.17 apply (zenon_L640_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.17 apply (zenon_L649_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.17 apply (zenon_L61_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.17 apply (zenon_L322_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.17 apply (zenon_L649_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.17 apply (zenon_L221_); trivial.
% 8.02/8.17 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.18 apply (zenon_L41_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.18 apply (zenon_L212_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.18 apply (zenon_L653_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.18 apply (zenon_L648_); trivial.
% 8.02/8.18 apply (zenon_L622_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 8.02/8.18 apply (zenon_L260_); trivial.
% 8.02/8.18 apply (zenon_L618_); trivial.
% 8.02/8.18 (* end of lemma zenon_L661_ *)
% 8.02/8.18 assert (zenon_L662_ : (((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 (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H238 zenon_H1e zenon_H3d zenon_H17f zenon_H54 zenon_H128 zenon_H195 zenon_Hf7 zenon_H1ec.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H3e | zenon_intro zenon_H239 ].
% 8.02/8.18 apply (zenon_L9_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H23a ].
% 8.02/8.18 apply (zenon_L244_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ].
% 8.02/8.18 apply (zenon_L617_); trivial.
% 8.02/8.18 apply (zenon_L423_); trivial.
% 8.02/8.18 (* end of lemma zenon_L662_ *)
% 8.02/8.18 assert (zenon_L663_ : (((op (e1) (e1)) = (e1))/\(((~((op (e0) (e1)) = (e0)))\/((op (e0) (e0)) = (e1)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e1)) = (e2)))\/((op (e2) (e2)) = (e1)))/\((~((op (e3) (e1)) = (e3)))\/((op (e3) (e3)) = (e1))))))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e1)) = (e2)) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H106 zenon_H13f zenon_H9c.
% 8.02/8.18 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hc6. zenon_intro zenon_H107.
% 8.02/8.18 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H109. zenon_intro zenon_H108.
% 8.02/8.18 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H23c. zenon_intro zenon_H23b.
% 8.02/8.18 apply (zenon_and_s _ _ zenon_H23b). zenon_intro zenon_H23d. zenon_intro zenon_H208.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1eb | zenon_intro zenon_H13e ].
% 8.02/8.18 exact (zenon_H1eb zenon_H9c).
% 8.02/8.18 exact (zenon_H13f zenon_H13e).
% 8.02/8.18 (* end of lemma zenon_L663_ *)
% 8.02/8.18 assert (zenon_L664_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> ((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).
% 8.02/8.18 do 0 intro. intros zenon_H142 zenon_H17f zenon_Hb2 zenon_Hc6 zenon_Hca zenon_H13f zenon_Hbd zenon_He3.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 8.02/8.18 apply (zenon_L244_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 8.02/8.18 apply (zenon_L228_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 8.02/8.18 exact (zenon_H13f zenon_H13e).
% 8.02/8.18 apply (zenon_L186_); trivial.
% 8.02/8.18 (* end of lemma zenon_L664_ *)
% 8.02/8.18 assert (zenon_L665_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((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)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e2)) = (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)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H238 zenon_H12d zenon_H134 zenon_H9c zenon_Hcc zenon_H66 zenon_H173 zenon_H1d0 zenon_H67 zenon_H111 zenon_Hef zenon_H10e zenon_H89 zenon_H6c zenon_H95 zenon_H12b zenon_H1cd zenon_H1d4 zenon_H137 zenon_He3 zenon_Hbd zenon_H13f zenon_Hca zenon_Hc6 zenon_H17f zenon_H142 zenon_H1f zenon_H3d zenon_Hfc zenon_H128.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H3e | zenon_intro zenon_H239 ].
% 8.02/8.18 apply (zenon_L377_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H23a ].
% 8.02/8.18 apply (zenon_L664_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ].
% 8.02/8.18 apply (zenon_L289_); trivial.
% 8.02/8.18 apply (zenon_L137_); trivial.
% 8.02/8.18 (* end of lemma zenon_L665_ *)
% 8.02/8.18 assert (zenon_L666_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_Haa zenon_H26 zenon_H8f zenon_Hc6 zenon_H6c zenon_H9c zenon_Hf7 zenon_H131.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 8.02/8.18 apply (zenon_L338_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 8.02/8.18 apply (zenon_L71_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 8.02/8.18 apply (zenon_L43_); trivial.
% 8.02/8.18 apply (zenon_L559_); trivial.
% 8.02/8.18 (* end of lemma zenon_L666_ *)
% 8.02/8.18 assert (zenon_L667_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H137 zenon_H47 zenon_Hb2 zenon_H1d4 zenon_H12d zenon_H195 zenon_H66 zenon_H40.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H41 | zenon_intro zenon_H138 ].
% 8.02/8.18 apply (zenon_L292_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hde | zenon_intro zenon_H139 ].
% 8.02/8.18 apply (zenon_L635_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hdc | zenon_intro zenon_H7f ].
% 8.02/8.18 apply (zenon_L458_); trivial.
% 8.02/8.18 apply (zenon_L529_); trivial.
% 8.02/8.18 (* end of lemma zenon_L667_ *)
% 8.02/8.18 assert (zenon_L668_ : (((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 (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H238 zenon_H1e zenon_H3d zenon_H40 zenon_H66 zenon_H12d zenon_H1d4 zenon_H47 zenon_H137 zenon_H128 zenon_H195 zenon_Hf7 zenon_H1ec.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H3e | zenon_intro zenon_H239 ].
% 8.02/8.18 apply (zenon_L9_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H23a ].
% 8.02/8.18 apply (zenon_L667_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ].
% 8.02/8.18 apply (zenon_L617_); trivial.
% 8.02/8.18 apply (zenon_L423_); trivial.
% 8.02/8.18 (* end of lemma zenon_L668_ *)
% 8.02/8.18 assert (zenon_L669_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((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 (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (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 (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H4e zenon_H2d zenon_H173 zenon_H67 zenon_H238 zenon_H1e zenon_H3d zenon_H40 zenon_H66 zenon_H12d zenon_H1d4 zenon_H137 zenon_H128 zenon_H195 zenon_Hf7 zenon_H1ec.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 8.02/8.18 apply (zenon_L9_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 8.02/8.18 apply (zenon_L330_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 8.02/8.18 apply (zenon_L392_); trivial.
% 8.02/8.18 apply (zenon_L668_); trivial.
% 8.02/8.18 (* end of lemma zenon_L669_ *)
% 8.02/8.18 assert (zenon_L670_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (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))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_Hcc zenon_H1ec zenon_Hf7 zenon_H195 zenon_H128 zenon_H137 zenon_H1d4 zenon_H12d zenon_H40 zenon_H3d zenon_H1e zenon_H238 zenon_H67 zenon_H173 zenon_H4e zenon_Hc7 zenon_H89 zenon_H5b zenon_H66 zenon_H2c.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H2d | zenon_intro zenon_Hcd ].
% 8.02/8.18 apply (zenon_L669_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hce ].
% 8.02/8.18 apply (zenon_L61_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 8.02/8.18 apply (zenon_L84_); trivial.
% 8.02/8.18 apply (zenon_L104_); trivial.
% 8.02/8.18 (* end of lemma zenon_L670_ *)
% 8.02/8.18 assert (zenon_L671_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((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 (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 (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H184 zenon_H2c zenon_H66 zenon_H5b zenon_H89 zenon_H4e zenon_H173 zenon_H67 zenon_H238 zenon_H1e zenon_H3d zenon_H40 zenon_H12d zenon_H137 zenon_H128 zenon_H195 zenon_Hf7 zenon_H1ec zenon_Hcc zenon_Hd2 zenon_Hef zenon_H9c zenon_H99 zenon_H1d4 zenon_Hb2.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H185 ].
% 8.02/8.18 apply (zenon_L670_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H186 ].
% 8.02/8.18 apply (zenon_L90_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hde ].
% 8.02/8.18 apply (zenon_L97_); trivial.
% 8.02/8.18 apply (zenon_L635_); trivial.
% 8.02/8.18 (* end of lemma zenon_L671_ *)
% 8.02/8.18 assert (zenon_L672_ : ((op (e3) (e1)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (op (op (e1) (e1)) (e1)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H41 zenon_H6d zenon_H23e.
% 8.02/8.18 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ].
% 8.02/8.18 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((e0) = (op (op (e1) (e1)) (e1)))).
% 8.02/8.18 intro zenon_D_pnotp.
% 8.02/8.18 apply zenon_H23e.
% 8.02/8.18 rewrite <- zenon_D_pnotp.
% 8.02/8.18 exact zenon_H72.
% 8.02/8.18 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H73].
% 8.02/8.18 cut (((op (op (e1) (e1)) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H23f].
% 8.02/8.18 congruence.
% 8.02/8.18 cut (((op (e3) (e1)) = (e0)) = ((op (op (e1) (e1)) (e1)) = (e0))).
% 8.02/8.18 intro zenon_D_pnotp.
% 8.02/8.18 apply zenon_H23f.
% 8.02/8.18 rewrite <- zenon_D_pnotp.
% 8.02/8.18 exact zenon_H41.
% 8.02/8.18 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 8.02/8.18 cut (((op (e3) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H178].
% 8.02/8.18 congruence.
% 8.02/8.18 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ].
% 8.02/8.18 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((op (e3) (e1)) = (op (op (e1) (e1)) (e1)))).
% 8.02/8.18 intro zenon_D_pnotp.
% 8.02/8.18 apply zenon_H178.
% 8.02/8.18 rewrite <- zenon_D_pnotp.
% 8.02/8.18 exact zenon_H72.
% 8.02/8.18 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H73].
% 8.02/8.18 cut (((op (op (e1) (e1)) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H175].
% 8.02/8.18 congruence.
% 8.02/8.18 apply (zenon_L233_); trivial.
% 8.02/8.18 apply zenon_H73. apply refl_equal.
% 8.02/8.18 apply zenon_H73. apply refl_equal.
% 8.02/8.18 apply zenon_H1d. apply refl_equal.
% 8.02/8.18 apply zenon_H73. apply refl_equal.
% 8.02/8.18 apply zenon_H73. apply refl_equal.
% 8.02/8.18 (* end of lemma zenon_L672_ *)
% 8.02/8.18 assert (zenon_L673_ : ((op (e3) (e3)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H195 zenon_H41 zenon_H6d.
% 8.02/8.18 apply (zenon_notand_s _ _ ax21); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H240 ].
% 8.02/8.18 elim (classic ((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 8.02/8.18 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1)))) = ((e2) = (op (op (e1) (e1)) (op (e1) (e1))))).
% 8.02/8.18 intro zenon_D_pnotp.
% 8.02/8.18 apply zenon_H1a4.
% 8.02/8.18 rewrite <- zenon_D_pnotp.
% 8.02/8.18 exact zenon_H79.
% 8.02/8.18 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7a].
% 8.02/8.18 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1a5].
% 8.02/8.18 congruence.
% 8.02/8.18 cut (((op (e3) (e3)) = (e2)) = ((op (op (e1) (e1)) (op (e1) (e1))) = (e2))).
% 8.02/8.18 intro zenon_D_pnotp.
% 8.02/8.18 apply zenon_H1a5.
% 8.02/8.18 rewrite <- zenon_D_pnotp.
% 8.02/8.18 exact zenon_H195.
% 8.02/8.18 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 8.02/8.18 cut (((op (e3) (e3)) = (op (op (e1) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H17a].
% 8.02/8.18 congruence.
% 8.02/8.18 elim (classic ((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 8.02/8.18 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1)))) = ((op (e3) (e3)) = (op (op (e1) (e1)) (op (e1) (e1))))).
% 8.02/8.18 intro zenon_D_pnotp.
% 8.02/8.18 apply zenon_H17a.
% 8.02/8.18 rewrite <- zenon_D_pnotp.
% 8.02/8.18 exact zenon_H79.
% 8.02/8.18 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7a].
% 8.02/8.18 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H174].
% 8.02/8.18 congruence.
% 8.02/8.18 apply (zenon_L232_); trivial.
% 8.02/8.18 apply zenon_H7a. apply refl_equal.
% 8.02/8.18 apply zenon_H7a. apply refl_equal.
% 8.02/8.18 apply zenon_H22. apply refl_equal.
% 8.02/8.18 apply zenon_H7a. apply refl_equal.
% 8.02/8.18 apply zenon_H7a. apply refl_equal.
% 8.02/8.18 apply (zenon_notand_s _ _ zenon_H240); [ zenon_intro zenon_H17b | zenon_intro zenon_H23e ].
% 8.02/8.18 apply zenon_H17b. apply sym_equal. exact zenon_H6d.
% 8.02/8.18 apply (zenon_L672_); trivial.
% 8.02/8.18 (* end of lemma zenon_L673_ *)
% 8.02/8.18 assert (zenon_L674_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H137 zenon_H47 zenon_Hb2 zenon_H1d4 zenon_H12d zenon_H195 zenon_Hf7 zenon_H131.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H41 | zenon_intro zenon_H138 ].
% 8.02/8.18 apply (zenon_L292_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hde | zenon_intro zenon_H139 ].
% 8.02/8.18 apply (zenon_L635_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hdc | zenon_intro zenon_H7f ].
% 8.02/8.18 apply (zenon_L458_); trivial.
% 8.02/8.18 apply (zenon_L559_); trivial.
% 8.02/8.18 (* end of lemma zenon_L674_ *)
% 8.02/8.18 assert (zenon_L675_ : (((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)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H238 zenon_H1e zenon_H3d zenon_H131 zenon_H12d zenon_H1d4 zenon_H47 zenon_H137 zenon_H128 zenon_H195 zenon_Hf7 zenon_H1ec.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H3e | zenon_intro zenon_H239 ].
% 8.02/8.18 apply (zenon_L9_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H23a ].
% 8.02/8.18 apply (zenon_L674_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ].
% 8.02/8.18 apply (zenon_L617_); trivial.
% 8.02/8.18 apply (zenon_L423_); trivial.
% 8.02/8.18 (* end of lemma zenon_L675_ *)
% 8.02/8.18 assert (zenon_L676_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e3)) -> (~((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) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H4e zenon_H6d zenon_H67 zenon_H238 zenon_H1e zenon_H3d zenon_H131 zenon_H12d zenon_H1d4 zenon_H137 zenon_H128 zenon_H195 zenon_Hf7 zenon_H1ec.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 8.02/8.18 apply (zenon_L9_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 8.02/8.18 apply (zenon_L673_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 8.02/8.18 apply (zenon_L392_); trivial.
% 8.02/8.18 apply (zenon_L675_); trivial.
% 8.02/8.18 (* end of lemma zenon_L676_ *)
% 8.02/8.18 assert (zenon_L677_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (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))))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_Haa zenon_Hb2 zenon_H99 zenon_Hef zenon_Hd2 zenon_Hcc zenon_H40 zenon_H173 zenon_H89 zenon_H5b zenon_H2c zenon_H184 zenon_H1ec zenon_H195 zenon_H128 zenon_H137 zenon_H1d4 zenon_H12d zenon_H3d zenon_H1e zenon_H238 zenon_H67 zenon_H4e zenon_H6c zenon_H9c zenon_Hf7 zenon_H131.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 8.02/8.18 apply (zenon_L671_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 8.02/8.18 apply (zenon_L676_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 8.02/8.18 apply (zenon_L43_); trivial.
% 8.02/8.18 apply (zenon_L559_); trivial.
% 8.02/8.18 (* end of lemma zenon_L677_ *)
% 8.02/8.18 assert (zenon_L678_ : (((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) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H238 zenon_H1e zenon_H3d zenon_Hde zenon_H1d4 zenon_H128 zenon_H195 zenon_Hf7 zenon_H1ec.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H3e | zenon_intro zenon_H239 ].
% 8.02/8.18 apply (zenon_L9_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H23a ].
% 8.02/8.18 apply (zenon_L635_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ].
% 8.02/8.18 apply (zenon_L617_); trivial.
% 8.02/8.18 apply (zenon_L423_); trivial.
% 8.02/8.18 (* end of lemma zenon_L678_ *)
% 8.02/8.18 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 (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H142 zenon_H8f zenon_H8e zenon_Hc7 zenon_H33 zenon_H13f zenon_H64 zenon_Hd6.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 8.02/8.18 apply (zenon_L38_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 8.02/8.18 apply (zenon_L168_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 8.02/8.18 exact (zenon_H13f zenon_H13e).
% 8.02/8.18 apply (zenon_L156_); trivial.
% 8.02/8.18 (* end of lemma zenon_L679_ *)
% 8.02/8.18 assert (zenon_L680_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((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) (e3)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H184 zenon_H64 zenon_H13f zenon_H33 zenon_H8e zenon_H8f zenon_H142 zenon_H130 zenon_Hd6 zenon_H9c zenon_H99 zenon_H1d4 zenon_Hb2.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H185 ].
% 8.02/8.18 apply (zenon_L679_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H186 ].
% 8.02/8.18 apply (zenon_L603_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hde ].
% 8.02/8.18 apply (zenon_L97_); trivial.
% 8.02/8.18 apply (zenon_L635_); trivial.
% 8.02/8.18 (* end of lemma zenon_L680_ *)
% 8.02/8.18 assert (zenon_L681_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0)))/\(((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0)))/\((~((op (e3) (e0)) = (e3)))\/((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 (e1) (e0)) = (e1))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((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 (e2) (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 (e2) (e0)) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_Hec zenon_H20 zenon_Had zenon_Hc0 zenon_Hd8 zenon_Hb7 zenon_H26 zenon_H131 zenon_Hf7 zenon_H6c zenon_H4e zenon_H67 zenon_H238 zenon_H1e zenon_H3d zenon_H12d zenon_H137 zenon_H128 zenon_H195 zenon_H1ec zenon_H2c zenon_H89 zenon_H173 zenon_H40 zenon_Hcc zenon_Hef zenon_Haa zenon_H184 zenon_H64 zenon_H13f zenon_H33 zenon_H8f zenon_H142 zenon_H130 zenon_H9c zenon_H1d4 zenon_H95 zenon_H9b zenon_Hb2 zenon_H99.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.18 apply (zenon_L75_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.18 apply (zenon_L652_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd9 ].
% 8.02/8.18 exact (zenon_Hb7 zenon_Hbb).
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hda ].
% 8.02/8.18 apply (zenon_L666_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd6 ].
% 8.02/8.18 apply (zenon_L677_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H185 ].
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 8.02/8.18 apply (zenon_L670_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 8.02/8.18 apply (zenon_L37_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 8.02/8.18 apply (zenon_L43_); trivial.
% 8.02/8.18 apply (zenon_L559_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H186 ].
% 8.02/8.18 apply (zenon_L603_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hde ].
% 8.02/8.18 apply (zenon_L97_); trivial.
% 8.02/8.18 apply (zenon_L678_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd9 ].
% 8.02/8.18 exact (zenon_Hb7 zenon_Hbb).
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hda ].
% 8.02/8.18 apply (zenon_L666_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd6 ].
% 8.02/8.18 apply (zenon_L677_); trivial.
% 8.02/8.18 apply (zenon_L680_); trivial.
% 8.02/8.18 exact (zenon_Hc0 zenon_H92).
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.18 exact (zenon_H9b zenon_H98).
% 8.02/8.18 apply (zenon_L78_); trivial.
% 8.02/8.18 (* end of lemma zenon_L681_ *)
% 8.02/8.18 assert (zenon_L682_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H1c7 zenon_H43 zenon_Hf7 zenon_H81 zenon_He0 zenon_H38 zenon_H117 zenon_H13f zenon_H10b zenon_H82 zenon_H8e zenon_H10e.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H36 | zenon_intro zenon_H1c8 ].
% 8.02/8.18 apply (zenon_L461_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H13e | zenon_intro zenon_H1c9 ].
% 8.02/8.18 exact (zenon_H13f zenon_H13e).
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H9f | zenon_intro zenon_H15c ].
% 8.02/8.18 apply (zenon_L115_); trivial.
% 8.02/8.18 apply (zenon_L200_); trivial.
% 8.02/8.18 (* end of lemma zenon_L682_ *)
% 8.02/8.18 assert (zenon_L683_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (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) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((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 (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_Hec zenon_H20 zenon_H10e zenon_H82 zenon_H10b zenon_H13f zenon_H117 zenon_H38 zenon_H81 zenon_Hf7 zenon_H43 zenon_H1c7 zenon_Hb2 zenon_H17f zenon_H30 zenon_H1e zenon_H22e zenon_Haa zenon_H99 zenon_Hef zenon_Hcc zenon_H40 zenon_H173 zenon_H89 zenon_H2c zenon_H184 zenon_H1ec zenon_H137 zenon_H1d4 zenon_H12d zenon_H3d zenon_H238 zenon_H67 zenon_H4e zenon_H6c zenon_H9c zenon_H131 zenon_H1ca zenon_H9b zenon_H195 zenon_H128.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.18 apply (zenon_L2_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1cb ].
% 8.02/8.18 apply (zenon_L65_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1cc ].
% 8.02/8.18 apply (zenon_L677_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H13e | zenon_intro zenon_He0 ].
% 8.02/8.18 exact (zenon_H13f zenon_H13e).
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H31 | zenon_intro zenon_H22f ].
% 8.02/8.18 apply (zenon_L6_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H54 | zenon_intro zenon_H230 ].
% 8.02/8.18 apply (zenon_L244_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H98 | zenon_intro zenon_H8e ].
% 8.02/8.18 exact (zenon_H9b zenon_H98).
% 8.02/8.18 apply (zenon_L682_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.18 exact (zenon_H9b zenon_H98).
% 8.02/8.18 apply (zenon_L617_); trivial.
% 8.02/8.18 (* end of lemma zenon_L683_ *)
% 8.02/8.18 assert (zenon_L684_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((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) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H4e zenon_H2d zenon_H173 zenon_H67 zenon_H238 zenon_H1e zenon_H3d zenon_H131 zenon_H12d zenon_H1d4 zenon_H137 zenon_H128 zenon_H195 zenon_Hf7 zenon_H1ec.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 8.02/8.18 apply (zenon_L9_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 8.02/8.18 apply (zenon_L330_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 8.02/8.18 apply (zenon_L392_); trivial.
% 8.02/8.18 apply (zenon_L675_); trivial.
% 8.02/8.18 (* end of lemma zenon_L684_ *)
% 8.02/8.18 assert (zenon_L685_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((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)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e0)) -> False).
% 8.02/8.18 do 0 intro. intros zenon_Hd8 zenon_Hb7 zenon_H8f zenon_H26 zenon_H131 zenon_Hf7 zenon_H9c zenon_H6c zenon_H4e zenon_H67 zenon_H238 zenon_H1e zenon_H3d zenon_H12d zenon_H1d4 zenon_H137 zenon_H128 zenon_H195 zenon_H1ec zenon_H184 zenon_H2c zenon_H5b zenon_H89 zenon_H173 zenon_H40 zenon_Hcc zenon_Hef zenon_H99 zenon_Hb2 zenon_Haa zenon_H55 zenon_H5d.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd9 ].
% 8.02/8.18 exact (zenon_Hb7 zenon_Hbb).
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hda ].
% 8.02/8.18 apply (zenon_L666_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd6 ].
% 8.02/8.18 apply (zenon_L677_); trivial.
% 8.02/8.18 apply (zenon_L69_); trivial.
% 8.02/8.18 (* end of lemma zenon_L685_ *)
% 8.02/8.18 assert (zenon_L686_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H4e zenon_H55 zenon_H2d zenon_H173 zenon_H36 zenon_H5a zenon_H137 zenon_Hb2 zenon_H1d4 zenon_H12d zenon_H195 zenon_Hf7 zenon_H131.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 8.02/8.18 apply (zenon_L50_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 8.02/8.18 apply (zenon_L330_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 8.02/8.18 apply (zenon_L16_); trivial.
% 8.02/8.18 apply (zenon_L674_); trivial.
% 8.02/8.18 (* end of lemma zenon_L686_ *)
% 8.02/8.18 assert (zenon_L687_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H1ca zenon_H99 zenon_Hc6 zenon_Hef zenon_H13f zenon_H117 zenon_H38 zenon_H36 zenon_H82 zenon_H81 zenon_Hf7 zenon_H43.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1cb ].
% 8.02/8.18 apply (zenon_L65_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1cc ].
% 8.02/8.18 apply (zenon_L90_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H13e | zenon_intro zenon_He0 ].
% 8.02/8.18 exact (zenon_H13f zenon_H13e).
% 8.02/8.18 apply (zenon_L461_); trivial.
% 8.02/8.18 (* end of lemma zenon_L687_ *)
% 8.02/8.18 assert (zenon_L688_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (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 (e0) (e1)) = (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))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e0)) -> False).
% 8.02/8.18 do 0 intro. intros zenon_Hd8 zenon_Hb7 zenon_H43 zenon_H81 zenon_H82 zenon_H36 zenon_H38 zenon_H117 zenon_H13f zenon_H1ca zenon_Hb2 zenon_H1d4 zenon_H99 zenon_H9c zenon_Hef zenon_Hcc zenon_H1ec zenon_Hf7 zenon_H195 zenon_H128 zenon_H137 zenon_H12d zenon_H40 zenon_H3d zenon_H1e zenon_H238 zenon_H67 zenon_H173 zenon_H4e zenon_H89 zenon_H5b zenon_H66 zenon_H2c zenon_H184 zenon_H55 zenon_H5d.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd9 ].
% 8.02/8.18 exact (zenon_Hb7 zenon_Hbb).
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hda ].
% 8.02/8.18 apply (zenon_L687_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd6 ].
% 8.02/8.18 apply (zenon_L671_); trivial.
% 8.02/8.18 apply (zenon_L69_); trivial.
% 8.02/8.18 (* end of lemma zenon_L688_ *)
% 8.02/8.18 assert (zenon_L689_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((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)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (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))))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_Haa zenon_H5d zenon_H55 zenon_H184 zenon_H2c zenon_H5b zenon_H89 zenon_H173 zenon_H40 zenon_Hcc zenon_Hef zenon_H99 zenon_Hb2 zenon_H1ca zenon_H13f zenon_H117 zenon_H38 zenon_H36 zenon_H82 zenon_H81 zenon_H43 zenon_Hb7 zenon_Hd8 zenon_H1ec zenon_H195 zenon_H128 zenon_H137 zenon_H1d4 zenon_H12d zenon_H3d zenon_H1e zenon_H238 zenon_H67 zenon_H4e zenon_H6c zenon_H9c zenon_Hf7 zenon_H131.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 8.02/8.18 apply (zenon_L688_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 8.02/8.18 apply (zenon_L676_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 8.02/8.18 apply (zenon_L43_); trivial.
% 8.02/8.18 apply (zenon_L559_); trivial.
% 8.02/8.18 (* end of lemma zenon_L689_ *)
% 8.02/8.18 assert (zenon_L690_ : ((op (e2) (e3)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((e2) = (e3))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_Ha1 zenon_H14e zenon_H6c.
% 8.02/8.18 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 8.02/8.18 cut (((e3) = (e3)) = ((e2) = (e3))).
% 8.02/8.18 intro zenon_D_pnotp.
% 8.02/8.18 apply zenon_H6c.
% 8.02/8.18 rewrite <- zenon_D_pnotp.
% 8.02/8.18 exact zenon_H68.
% 8.02/8.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 8.02/8.18 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9d].
% 8.02/8.18 congruence.
% 8.02/8.18 cut (((op (e2) (e3)) = (e2)) = ((e3) = (e2))).
% 8.02/8.18 intro zenon_D_pnotp.
% 8.02/8.18 apply zenon_H9d.
% 8.02/8.18 rewrite <- zenon_D_pnotp.
% 8.02/8.18 exact zenon_Ha1.
% 8.02/8.18 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 8.02/8.18 cut (((op (e2) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H241].
% 8.02/8.18 congruence.
% 8.02/8.18 exact (zenon_H241 zenon_H14e).
% 8.02/8.18 apply zenon_H22. apply refl_equal.
% 8.02/8.18 apply zenon_H69. apply refl_equal.
% 8.02/8.18 apply zenon_H69. apply refl_equal.
% 8.02/8.18 (* end of lemma zenon_L690_ *)
% 8.02/8.18 assert (zenon_L691_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H16b zenon_H8f zenon_H54 zenon_H66 zenon_H33 zenon_H1d6 zenon_Ha1 zenon_H6c.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H8e | zenon_intro zenon_H16c ].
% 8.02/8.18 apply (zenon_L38_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H70 | zenon_intro zenon_H16d ].
% 8.02/8.18 apply (zenon_L226_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H15c | zenon_intro zenon_H14e ].
% 8.02/8.18 exact (zenon_H1d6 zenon_H15c).
% 8.02/8.18 apply (zenon_L690_); trivial.
% 8.02/8.18 (* end of lemma zenon_L691_ *)
% 8.02/8.18 assert (zenon_L692_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e2)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H16b zenon_H1f zenon_H13e zenon_H66 zenon_H33 zenon_H1d6 zenon_Ha1 zenon_H6c.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H8e | zenon_intro zenon_H16c ].
% 8.02/8.18 apply (zenon_L491_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H70 | zenon_intro zenon_H16d ].
% 8.02/8.18 apply (zenon_L226_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H15c | zenon_intro zenon_H14e ].
% 8.02/8.18 exact (zenon_H1d6 zenon_H15c).
% 8.02/8.18 apply (zenon_L690_); trivial.
% 8.02/8.18 (* end of lemma zenon_L692_ *)
% 8.02/8.18 assert (zenon_L693_ : ((op (e2) (e3)) = (e2)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_Ha1 zenon_H9f zenon_H242.
% 8.02/8.18 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha4 ].
% 8.02/8.18 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (e2)) = (op (e2) (e3)))).
% 8.02/8.18 intro zenon_D_pnotp.
% 8.02/8.18 apply zenon_H242.
% 8.02/8.18 rewrite <- zenon_D_pnotp.
% 8.02/8.18 exact zenon_Ha3.
% 8.02/8.18 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 8.02/8.18 cut (((op (e2) (e3)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H243].
% 8.02/8.18 congruence.
% 8.02/8.18 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e2) (e2)))).
% 8.02/8.18 intro zenon_D_pnotp.
% 8.02/8.18 apply zenon_H243.
% 8.02/8.18 rewrite <- zenon_D_pnotp.
% 8.02/8.18 exact zenon_Ha1.
% 8.02/8.18 cut (((e2) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H244].
% 8.02/8.18 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 8.02/8.18 congruence.
% 8.02/8.18 apply zenon_Ha4. apply refl_equal.
% 8.02/8.18 apply zenon_H244. apply sym_equal. exact zenon_H9f.
% 8.02/8.18 apply zenon_Ha4. apply refl_equal.
% 8.02/8.18 apply zenon_Ha4. apply refl_equal.
% 8.02/8.18 (* end of lemma zenon_L693_ *)
% 8.02/8.18 assert (zenon_L694_ : (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H122 zenon_Ha1 zenon_H242.
% 8.02/8.18 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H9f. zenon_intro zenon_H123.
% 8.02/8.18 apply (zenon_L693_); trivial.
% 8.02/8.18 (* end of lemma zenon_L694_ *)
% 8.02/8.18 assert (zenon_L695_ : (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H12b zenon_H1d6 zenon_Ha1.
% 8.02/8.18 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hfc. zenon_intro zenon_H12c.
% 8.02/8.18 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H1f1. zenon_intro zenon_H1f0.
% 8.02/8.18 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H193. zenon_intro zenon_H22c.
% 8.02/8.18 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H15e. zenon_intro zenon_H245.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H13a | zenon_intro zenon_H15c ].
% 8.02/8.18 exact (zenon_H13a zenon_Ha1).
% 8.02/8.18 exact (zenon_H1d6 zenon_H15c).
% 8.02/8.18 (* end of lemma zenon_L695_ *)
% 8.02/8.18 assert (zenon_L696_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e1)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H1c7 zenon_H6e zenon_H70 zenon_Hd2 zenon_H38 zenon_H10b zenon_H82 zenon_H1d6.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H36 | zenon_intro zenon_H1c8 ].
% 8.02/8.18 apply (zenon_L29_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H13e | zenon_intro zenon_H1c9 ].
% 8.02/8.18 apply (zenon_L390_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H9f | zenon_intro zenon_H15c ].
% 8.02/8.18 apply (zenon_L115_); trivial.
% 8.02/8.18 exact (zenon_H1d6 zenon_H15c).
% 8.02/8.18 (* end of lemma zenon_L696_ *)
% 8.02/8.18 assert (zenon_L697_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_Hec zenon_H20 zenon_H1e zenon_H89 zenon_H6e zenon_H188 zenon_Ha1 zenon_Hb2 zenon_H99.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.18 apply (zenon_L2_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.18 apply (zenon_L84_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.18 apply (zenon_L250_); trivial.
% 8.02/8.18 apply (zenon_L78_); trivial.
% 8.02/8.18 (* end of lemma zenon_L697_ *)
% 8.02/8.18 assert (zenon_L698_ : (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H49 zenon_Ha1 zenon_H195.
% 8.02/8.18 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e3) (e3)))).
% 8.02/8.18 intro zenon_D_pnotp.
% 8.02/8.18 apply zenon_H49.
% 8.02/8.18 rewrite <- zenon_D_pnotp.
% 8.02/8.18 exact zenon_Ha1.
% 8.02/8.18 cut (((e2) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H246].
% 8.02/8.18 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 8.02/8.18 congruence.
% 8.02/8.18 apply zenon_Ha4. apply refl_equal.
% 8.02/8.18 apply zenon_H246. apply sym_equal. exact zenon_H195.
% 8.02/8.18 (* end of lemma zenon_L698_ *)
% 8.02/8.18 assert (zenon_L699_ : (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0)))/\(((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0)))/\((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.02/8.18 do 0 intro. intros zenon_Had zenon_H1a8 zenon_H92.
% 8.02/8.18 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H1e. zenon_intro zenon_Hae.
% 8.02/8.18 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 8.02/8.18 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_Hb4. zenon_intro zenon_H1af.
% 8.02/8.18 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H231. zenon_intro zenon_H221.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H47 ].
% 8.02/8.18 exact (zenon_Hc0 zenon_H92).
% 8.02/8.18 exact (zenon_H1a8 zenon_H47).
% 8.02/8.18 (* end of lemma zenon_L699_ *)
% 8.02/8.18 assert (zenon_L700_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H11e zenon_H1f zenon_H28 zenon_H6d zenon_H6c zenon_H38 zenon_H9f zenon_Hd6 zenon_H99.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 8.02/8.18 apply (zenon_L288_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 8.02/8.18 apply (zenon_L26_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 8.02/8.18 apply (zenon_L107_); trivial.
% 8.02/8.18 apply (zenon_L301_); trivial.
% 8.02/8.18 (* end of lemma zenon_L700_ *)
% 8.02/8.18 assert (zenon_L701_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H142 zenon_Hb9 zenon_H30 zenon_Hc6 zenon_Hca zenon_H15c zenon_H8f zenon_H99 zenon_Ha1.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 8.02/8.18 apply (zenon_L422_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 8.02/8.18 apply (zenon_L228_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 8.02/8.18 apply (zenon_L354_); trivial.
% 8.02/8.18 apply (zenon_L425_); trivial.
% 8.02/8.18 (* end of lemma zenon_L701_ *)
% 8.02/8.18 assert (zenon_L702_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_Haa zenon_H6c zenon_H26 zenon_H8f zenon_Hc6 zenon_H18e zenon_H15c zenon_H92 zenon_H1d4.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 8.02/8.18 apply (zenon_L338_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 8.02/8.18 apply (zenon_L71_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 8.02/8.18 apply (zenon_L273_); trivial.
% 8.02/8.18 apply (zenon_L548_); trivial.
% 8.02/8.18 (* end of lemma zenon_L702_ *)
% 8.02/8.18 assert (zenon_L703_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H124 zenon_H20 zenon_H1e zenon_H1d4 zenon_H92 zenon_H15c zenon_H18e zenon_Hc6 zenon_H8f zenon_H6c zenon_Haa zenon_H99 zenon_Hcf zenon_Ha1 zenon_Hbd.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.18 apply (zenon_L2_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.18 apply (zenon_L702_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.18 apply (zenon_L65_); trivial.
% 8.02/8.18 apply (zenon_L53_); trivial.
% 8.02/8.18 (* end of lemma zenon_L703_ *)
% 8.02/8.18 assert (zenon_L704_ : (((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 (e0) (e3)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H205 zenon_H1a8 zenon_He4 zenon_He3 zenon_Ha1 zenon_H49 zenon_Hfd zenon_H5e.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H47 | zenon_intro zenon_H206 ].
% 8.02/8.18 exact (zenon_H1a8 zenon_H47).
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_He2 | zenon_intro zenon_H207 ].
% 8.02/8.18 apply (zenon_L81_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H195 | zenon_intro zenon_Hfc ].
% 8.02/8.18 apply (zenon_L698_); trivial.
% 8.02/8.18 apply (zenon_L109_); trivial.
% 8.02/8.18 (* end of lemma zenon_L704_ *)
% 8.02/8.18 assert (zenon_L705_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 8.02/8.18 do 0 intro. intros zenon_H247 zenon_H8f zenon_H5e zenon_H49 zenon_He3 zenon_He4 zenon_H1a8 zenon_H205 zenon_H6c zenon_Ha1 zenon_H92 zenon_H128.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H248 ].
% 8.02/8.18 apply (zenon_L89_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_Hfd | zenon_intro zenon_H249 ].
% 8.02/8.18 apply (zenon_L704_); trivial.
% 8.02/8.18 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H14e | zenon_intro zenon_Hfc ].
% 8.02/8.18 apply (zenon_L690_); trivial.
% 8.02/8.18 apply (zenon_L137_); trivial.
% 8.02/8.18 (* end of lemma zenon_L705_ *)
% 8.02/8.18 assert (zenon_L706_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e0) = (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).
% 8.02/8.19 do 0 intro. intros zenon_H15f zenon_H2c zenon_Hc6 zenon_Hbd zenon_Ha1 zenon_H99 zenon_Hc3 zenon_H1e zenon_H6c zenon_H10b zenon_H15c zenon_H67 zenon_H20 zenon_H124 zenon_H15a zenon_H55.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.19 apply (zenon_L442_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.19 apply (zenon_L61_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L36_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_L338_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_L274_); trivial.
% 8.02/8.19 apply (zenon_L438_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L65_); trivial.
% 8.02/8.19 apply (zenon_L53_); trivial.
% 8.02/8.19 apply (zenon_L249_); trivial.
% 8.02/8.19 (* end of lemma zenon_L706_ *)
% 8.02/8.19 assert (zenon_L707_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 8.02/8.19 do 0 intro. intros zenon_H142 zenon_H17f zenon_Hb2 zenon_Hc6 zenon_Hca zenon_H15c zenon_H8f zenon_H99 zenon_Ha1.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 8.02/8.19 apply (zenon_L244_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 8.02/8.19 apply (zenon_L228_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 8.02/8.19 apply (zenon_L354_); trivial.
% 8.02/8.19 apply (zenon_L425_); trivial.
% 8.02/8.19 (* end of lemma zenon_L707_ *)
% 8.02/8.19 assert (zenon_L708_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False).
% 8.02/8.19 do 0 intro. intros zenon_H209 zenon_H200 zenon_H15a zenon_He0 zenon_Hf8 zenon_H38 zenon_H81 zenon_Hef zenon_Hc6 zenon_H43 zenon_H44 zenon_H117 zenon_H15c zenon_H10b.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H111 | zenon_intro zenon_H20a ].
% 8.02/8.19 apply (zenon_L450_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_Hcf | zenon_intro zenon_H20b ].
% 8.02/8.19 apply (zenon_L177_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H82 | zenon_intro zenon_Hb0 ].
% 8.02/8.19 apply (zenon_L451_); trivial.
% 8.02/8.19 apply (zenon_L274_); trivial.
% 8.02/8.19 (* end of lemma zenon_L708_ *)
% 8.02/8.19 assert (zenon_L709_ : (((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)) = (e3)) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 8.02/8.19 do 0 intro. intros zenon_H142 zenon_H55 zenon_H31 zenon_Hc6 zenon_Hca zenon_H15c zenon_H8f zenon_H99 zenon_Ha1.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 8.02/8.19 apply (zenon_L15_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 8.02/8.19 apply (zenon_L228_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 8.02/8.19 apply (zenon_L354_); trivial.
% 8.02/8.19 apply (zenon_L425_); trivial.
% 8.02/8.19 (* end of lemma zenon_L709_ *)
% 8.02/8.19 assert (zenon_L710_ : (((op (e1) (e1)) = (e1))/\(((~((op (e0) (e1)) = (e0)))\/((op (e0) (e0)) = (e1)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e1)) = (e2)))\/((op (e2) (e2)) = (e1)))/\((~((op (e3) (e1)) = (e3)))\/((op (e3) (e3)) = (e1))))))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.02/8.19 do 0 intro. intros zenon_H106 zenon_H153 zenon_H7f.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hc6. zenon_intro zenon_H107.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H109. zenon_intro zenon_H108.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H23c. zenon_intro zenon_H23b.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H23b). zenon_intro zenon_H23d. zenon_intro zenon_H208.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1e9 | zenon_intro zenon_He2 ].
% 8.02/8.19 exact (zenon_H1e9 zenon_H7f).
% 8.02/8.19 exact (zenon_H153 zenon_He2).
% 8.02/8.19 (* end of lemma zenon_L710_ *)
% 8.02/8.19 assert (zenon_L711_ : (((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)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 8.02/8.19 do 0 intro. intros zenon_He7 zenon_H99 zenon_H93 zenon_H7f zenon_H8f zenon_Hcf zenon_Hf8 zenon_H153.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hb2 | zenon_intro zenon_He8 ].
% 8.02/8.19 apply (zenon_L78_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ].
% 8.02/8.19 apply (zenon_L91_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_He0 | zenon_intro zenon_He2 ].
% 8.02/8.19 apply (zenon_L177_); trivial.
% 8.02/8.19 exact (zenon_H153 zenon_He2).
% 8.02/8.19 (* end of lemma zenon_L711_ *)
% 8.02/8.19 assert (zenon_L712_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> False).
% 8.02/8.19 do 0 intro. intros zenon_H197 zenon_H153 zenon_Hf8 zenon_Hcf zenon_H8f zenon_H7f zenon_H99 zenon_He7 zenon_H26 zenon_H40 zenon_H9f zenon_H5a zenon_Hb2 zenon_H86.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H93 | zenon_intro zenon_H198 ].
% 8.02/8.19 apply (zenon_L711_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hdc | zenon_intro zenon_H199 ].
% 8.02/8.19 apply (zenon_L225_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H148 | zenon_intro zenon_H195 ].
% 8.02/8.19 apply (zenon_L178_); trivial.
% 8.02/8.19 apply (zenon_L652_); trivial.
% 8.02/8.19 (* end of lemma zenon_L712_ *)
% 8.02/8.19 assert (zenon_L713_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (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))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 8.02/8.19 do 0 intro. intros zenon_H124 zenon_H6c zenon_H153 zenon_Hf8 zenon_Hcf zenon_H8f zenon_H7f zenon_H197 zenon_H99 zenon_He7 zenon_H40 zenon_H5a zenon_H86 zenon_H10b zenon_H9f zenon_H15a zenon_H20.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L243_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hb2 | zenon_intro zenon_He8 ].
% 8.02/8.19 apply (zenon_L712_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ].
% 8.02/8.19 apply (zenon_L91_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_He0 | zenon_intro zenon_He2 ].
% 8.02/8.19 apply (zenon_L177_); trivial.
% 8.02/8.19 exact (zenon_H153 zenon_He2).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L115_); trivial.
% 8.02/8.19 apply (zenon_L223_); trivial.
% 8.02/8.19 (* end of lemma zenon_L713_ *)
% 8.02/8.19 assert (zenon_L714_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 8.02/8.19 do 0 intro. intros zenon_H209 zenon_H127 zenon_H13e zenon_H10b zenon_H9f zenon_Haf zenon_H86.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H111 | zenon_intro zenon_H20a ].
% 8.02/8.19 exact (zenon_H127 zenon_H111).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_Hcf | zenon_intro zenon_H20b ].
% 8.02/8.19 apply (zenon_L175_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H82 | zenon_intro zenon_Hb0 ].
% 8.02/8.19 apply (zenon_L115_); trivial.
% 8.02/8.19 apply (zenon_L49_); trivial.
% 8.02/8.19 (* end of lemma zenon_L714_ *)
% 8.02/8.19 assert (zenon_L715_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 8.02/8.19 do 0 intro. intros zenon_H124 zenon_H86 zenon_H6c zenon_H2c zenon_H6e zenon_H10b zenon_H9f zenon_H15a zenon_H20.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L243_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L128_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L115_); trivial.
% 8.02/8.19 apply (zenon_L223_); trivial.
% 8.02/8.19 (* end of lemma zenon_L715_ *)
% 8.02/8.19 assert (zenon_L716_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e3)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 8.02/8.19 do 0 intro. intros zenon_H205 zenon_H15c zenon_He0 zenon_H153 zenon_Ha1 zenon_H49 zenon_H7f zenon_H12d.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H47 | zenon_intro zenon_H206 ].
% 8.02/8.19 apply (zenon_L383_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_He2 | zenon_intro zenon_H207 ].
% 8.02/8.19 exact (zenon_H153 zenon_He2).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H195 | zenon_intro zenon_Hfc ].
% 8.02/8.19 apply (zenon_L698_); trivial.
% 8.02/8.19 apply (zenon_L139_); trivial.
% 8.02/8.19 (* end of lemma zenon_L716_ *)
% 8.02/8.19 assert (zenon_L717_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 8.02/8.19 do 0 intro. intros zenon_H22e zenon_H1e zenon_H30 zenon_H17f zenon_Hb2 zenon_H9b zenon_H15c zenon_H10e.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H31 | zenon_intro zenon_H22f ].
% 8.02/8.19 apply (zenon_L6_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H54 | zenon_intro zenon_H230 ].
% 8.02/8.19 apply (zenon_L244_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H98 | zenon_intro zenon_H8e ].
% 8.02/8.19 exact (zenon_H9b zenon_H98).
% 8.02/8.19 apply (zenon_L200_); trivial.
% 8.02/8.19 (* end of lemma zenon_L717_ *)
% 8.02/8.19 assert (zenon_L718_ : (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (e3)) = (e0)) -> False).
% 8.02/8.19 do 0 intro. intros zenon_H20 zenon_Ha1 zenon_H48.
% 8.02/8.19 cut (((op (e2) (e3)) = (e2)) = ((e0) = (e2))).
% 8.02/8.19 intro zenon_D_pnotp.
% 8.02/8.19 apply zenon_H20.
% 8.02/8.19 rewrite <- zenon_D_pnotp.
% 8.02/8.19 exact zenon_Ha1.
% 8.02/8.19 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 8.02/8.19 cut (((op (e2) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H24a].
% 8.02/8.19 congruence.
% 8.02/8.19 exact (zenon_H24a zenon_H48).
% 8.02/8.19 apply zenon_H22. apply refl_equal.
% 8.02/8.19 (* end of lemma zenon_L718_ *)
% 8.02/8.19 assert (zenon_L719_ : (((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) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 8.02/8.19 do 0 intro. intros zenon_H51 zenon_H1e zenon_H30 zenon_H2d zenon_Hca zenon_H15c zenon_H67 zenon_H20 zenon_Ha1.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 8.02/8.19 apply (zenon_L6_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 8.02/8.19 apply (zenon_L293_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 8.02/8.19 apply (zenon_L215_); trivial.
% 8.02/8.19 apply (zenon_L718_); trivial.
% 8.02/8.19 (* end of lemma zenon_L719_ *)
% 8.02/8.19 assert (zenon_L720_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (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 (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 8.02/8.19 do 0 intro. intros zenon_H170 zenon_H10a zenon_H2c zenon_H131 zenon_Hf7 zenon_H40 zenon_H173 zenon_Hc6 zenon_H1d4 zenon_H3e zenon_H137 zenon_H16e zenon_H86.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H25 | zenon_intro zenon_H171 ].
% 8.02/8.19 exact (zenon_H10a zenon_H25).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H172 ].
% 8.02/8.19 apply (zenon_L61_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H26 | zenon_intro zenon_H66 ].
% 8.02/8.19 apply (zenon_L642_); trivial.
% 8.02/8.19 apply (zenon_L217_); trivial.
% 8.02/8.19 (* end of lemma zenon_L720_ *)
% 8.02/8.19 assert (zenon_L721_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e3)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 8.02/8.19 do 0 intro. intros zenon_H197 zenon_H86 zenon_He2 zenon_H26 zenon_H40 zenon_Hf7 zenon_H6c zenon_H196.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H93 | zenon_intro zenon_H198 ].
% 8.02/8.19 apply (zenon_L540_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hdc | zenon_intro zenon_H199 ].
% 8.02/8.19 apply (zenon_L225_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H148 | zenon_intro zenon_H195 ].
% 8.02/8.19 apply (zenon_L355_); trivial.
% 8.02/8.19 exact (zenon_H196 zenon_H195).
% 8.02/8.19 (* end of lemma zenon_L721_ *)
% 8.02/8.19 assert (zenon_L722_ : (((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)) = (e0)) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e0)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 8.02/8.19 do 0 intro. intros zenon_H205 zenon_H12d zenon_H41 zenon_H6c zenon_H40 zenon_H26 zenon_H86 zenon_H197 zenon_H196 zenon_Hf7 zenon_H1cd.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H47 | zenon_intro zenon_H206 ].
% 8.02/8.19 apply (zenon_L292_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_He2 | zenon_intro zenon_H207 ].
% 8.02/8.19 apply (zenon_L721_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H195 | zenon_intro zenon_Hfc ].
% 8.02/8.19 exact (zenon_H196 zenon_H195).
% 8.02/8.19 apply (zenon_L335_); trivial.
% 8.02/8.19 (* end of lemma zenon_L722_ *)
% 8.02/8.19 assert (zenon_L723_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e0)) -> (~((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 (e0) (e1)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 8.02/8.19 do 0 intro. intros zenon_H170 zenon_H10a zenon_H2c zenon_Hc6 zenon_H1cd zenon_Hf7 zenon_H196 zenon_H197 zenon_H40 zenon_H6c zenon_H41 zenon_H12d zenon_H205 zenon_H16e zenon_H86.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H25 | zenon_intro zenon_H171 ].
% 8.02/8.19 exact (zenon_H10a zenon_H25).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H172 ].
% 8.02/8.19 apply (zenon_L61_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H26 | zenon_intro zenon_H66 ].
% 8.02/8.19 apply (zenon_L722_); trivial.
% 8.02/8.19 apply (zenon_L217_); trivial.
% 8.02/8.19 (* end of lemma zenon_L723_ *)
% 8.02/8.19 assert (zenon_L724_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 8.02/8.19 do 0 intro. intros zenon_H170 zenon_H10a zenon_H2c zenon_Hc6 zenon_Hdc zenon_H40 zenon_H16e zenon_H86.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H25 | zenon_intro zenon_H171 ].
% 8.02/8.19 exact (zenon_H10a zenon_H25).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H172 ].
% 8.02/8.19 apply (zenon_L61_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H26 | zenon_intro zenon_H66 ].
% 8.02/8.19 apply (zenon_L225_); trivial.
% 8.02/8.19 apply (zenon_L217_); trivial.
% 8.02/8.19 (* end of lemma zenon_L724_ *)
% 8.02/8.19 assert (zenon_L725_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 8.02/8.19 do 0 intro. intros zenon_H197 zenon_He2 zenon_H86 zenon_H16e zenon_H40 zenon_Hc6 zenon_H2c zenon_H10a zenon_H170 zenon_Hf7 zenon_H6c zenon_H196.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H93 | zenon_intro zenon_H198 ].
% 8.02/8.19 apply (zenon_L540_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hdc | zenon_intro zenon_H199 ].
% 8.02/8.19 apply (zenon_L724_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H148 | zenon_intro zenon_H195 ].
% 8.02/8.19 apply (zenon_L355_); trivial.
% 8.02/8.19 exact (zenon_H196 zenon_H195).
% 8.02/8.19 (* end of lemma zenon_L725_ *)
% 8.02/8.19 assert (zenon_L726_ : (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))))))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.02/8.19 do 0 intro. intros zenon_H122 zenon_H196 zenon_Hf7.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H9f. zenon_intro zenon_H123.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H1b2. zenon_intro zenon_H1b1.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1aa. zenon_intro zenon_H1b3.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H24c. zenon_intro zenon_H24b.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H228 | zenon_intro zenon_H195 ].
% 8.02/8.19 exact (zenon_H228 zenon_Hf7).
% 8.02/8.19 exact (zenon_H196 zenon_H195).
% 8.02/8.19 (* end of lemma zenon_L726_ *)
% 8.02/8.19 assert (zenon_L727_ : (((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)) = (e3)) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 8.02/8.19 do 0 intro. intros zenon_H95 zenon_H67 zenon_H1e zenon_H89 zenon_H6d zenon_H8f zenon_H54 zenon_Hf7 zenon_H1ec.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L36_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L37_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L38_); trivial.
% 8.02/8.19 apply (zenon_L423_); trivial.
% 8.02/8.19 (* end of lemma zenon_L727_ *)
% 8.02/8.19 assert (zenon_L728_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e3)) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 8.02/8.19 do 0 intro. intros zenon_Hb6 zenon_H55 zenon_Hb7 zenon_H1ec zenon_H8f zenon_H89 zenon_H1e zenon_H67 zenon_H95 zenon_H197 zenon_H99 zenon_H6d zenon_H47 zenon_Hf7 zenon_H6c zenon_H196.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.19 apply (zenon_L442_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.19 exact (zenon_Hb7 zenon_Hbb).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.19 apply (zenon_L727_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H93 | zenon_intro zenon_H198 ].
% 8.02/8.19 apply (zenon_L78_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hdc | zenon_intro zenon_H199 ].
% 8.02/8.19 apply (zenon_L235_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H148 | zenon_intro zenon_H195 ].
% 8.02/8.19 apply (zenon_L355_); trivial.
% 8.02/8.19 exact (zenon_H196 zenon_H195).
% 8.02/8.19 (* end of lemma zenon_L728_ *)
% 8.02/8.19 assert (zenon_L729_ : (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.02/8.19 do 0 intro. intros zenon_H5a zenon_H15c zenon_Hf7.
% 8.02/8.19 cut (((op (e2) (e2)) = (e3)) = ((op (e2) (e2)) = (op (e3) (e2)))).
% 8.02/8.19 intro zenon_D_pnotp.
% 8.02/8.19 apply zenon_H5a.
% 8.02/8.19 rewrite <- zenon_D_pnotp.
% 8.02/8.19 exact zenon_H15c.
% 8.02/8.19 cut (((e3) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1cf].
% 8.02/8.19 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 8.02/8.19 congruence.
% 8.02/8.19 apply zenon_H3a. apply refl_equal.
% 8.02/8.19 apply zenon_H1cf. apply sym_equal. exact zenon_Hf7.
% 8.02/8.19 (* end of lemma zenon_L729_ *)
% 8.02/8.19 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H1e6. zenon_intro zenon_H24d.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H170. zenon_intro zenon_H24e.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H209. zenon_intro zenon_H24f.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H251. zenon_intro zenon_H250.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H229. zenon_intro zenon_H252.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_Hcc. zenon_intro zenon_H253.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H117. zenon_intro zenon_H254.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_Hff. zenon_intro zenon_H255.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H22e. zenon_intro zenon_H256.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H19b. zenon_intro zenon_H257.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H1c7. zenon_intro zenon_H258.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H150. zenon_intro zenon_H259.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H238. zenon_intro zenon_H25a.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H137. zenon_intro zenon_H25b.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H14a. zenon_intro zenon_H205.
% 8.02/8.19 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H235. zenon_intro zenon_H25c.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H18b. zenon_intro zenon_H25d.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H15f. zenon_intro zenon_H25e.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Hb6. zenon_intro zenon_H25f.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H124. zenon_intro zenon_H260.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_Hec. zenon_intro zenon_H261.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_Hc3. zenon_intro zenon_H262.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H262). zenon_intro zenon_H95. zenon_intro zenon_H263.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H61. zenon_intro zenon_H264.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H264). zenon_intro zenon_H213. zenon_intro zenon_H265.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_Hd8. zenon_intro zenon_H266.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H184. zenon_intro zenon_H267.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H11e. zenon_intro zenon_H268.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H268). zenon_intro zenon_H13b. zenon_intro zenon_H269.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H162. zenon_intro zenon_H26a.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_Haa. zenon_intro zenon_H26b.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H51. zenon_intro zenon_H26c.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H11b. zenon_intro zenon_H26d.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H142. zenon_intro zenon_H26e.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H1ca. zenon_intro zenon_H26f.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_Ha7. zenon_intro zenon_H270.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H272. zenon_intro zenon_H271.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H16b. zenon_intro zenon_H273.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H273). zenon_intro zenon_H1d0. zenon_intro zenon_H274.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H4e. zenon_intro zenon_H275.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H157. zenon_intro zenon_H276.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_He7. zenon_intro zenon_H277.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H190. zenon_intro zenon_H278.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H197. zenon_intro zenon_H279.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H27b. zenon_intro zenon_H27a.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H102. zenon_intro zenon_H247.
% 8.02/8.19 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H28. zenon_intro zenon_H27c.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H30. zenon_intro zenon_H27d.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H3d. zenon_intro zenon_H27e.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_H280. zenon_intro zenon_H27f.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H282. zenon_intro zenon_H281.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H17f. zenon_intro zenon_H283.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H2c. zenon_intro zenon_H284.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H33. zenon_intro zenon_H285.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H40. zenon_intro zenon_H286.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_Hca. zenon_intro zenon_H287.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H173. zenon_intro zenon_H288.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H134. zenon_intro zenon_H289.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H81. zenon_intro zenon_H28a.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H10b. zenon_intro zenon_H28b.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_Hf8. zenon_intro zenon_H28c.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H38. zenon_intro zenon_H28d.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H43. zenon_intro zenon_H28e.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H5a. zenon_intro zenon_H28f.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf1. zenon_intro zenon_H290.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Hbd. zenon_intro zenon_H291.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_He4. zenon_intro zenon_H292.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H64. zenon_intro zenon_H293.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H5e. zenon_intro zenon_H294.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H49. zenon_intro zenon_H295.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H16e. zenon_intro zenon_H296.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_Haf. zenon_intro zenon_H297.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H299. zenon_intro zenon_H298.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H29b. zenon_intro zenon_H29a.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_H29d. zenon_intro zenon_H29c.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H200. zenon_intro zenon_H29e.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H89. zenon_intro zenon_H29f.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H113. zenon_intro zenon_H2a0.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H154. zenon_intro zenon_H2a1.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_Hef. zenon_intro zenon_H2a2.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H130. zenon_intro zenon_H2a3.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H2a5. zenon_intro zenon_H2a4.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H17c. zenon_intro zenon_H2a6.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H10e. zenon_intro zenon_H2a7.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H188. zenon_intro zenon_H2a8.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H18e. zenon_intro zenon_H2a9.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H2ab. zenon_intro zenon_H2aa.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H242. zenon_intro zenon_H2ac.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H1d4. zenon_intro zenon_H2ad.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H1ec. zenon_intro zenon_H2ae.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H128. zenon_intro zenon_H2af.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H131. zenon_intro zenon_H2b0.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H12d. zenon_intro zenon_H1cd.
% 8.02/8.19 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H55. zenon_intro zenon_H2b1.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H20. zenon_intro zenon_H2b2.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H67. zenon_intro zenon_H2b3.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H99. zenon_intro zenon_H2b4.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H8f. zenon_intro zenon_H6c.
% 8.02/8.19 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H2b5. zenon_intro zenon_H1ab.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2b6 ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H1e. zenon_intro zenon_H2b8.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2ba. zenon_intro zenon_H2b9.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H1e. zenon_intro zenon_H1e.
% 8.02/8.19 exact (zenon_H2ba zenon_H1e).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2bb ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H1e. zenon_intro zenon_H2bd.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2ba. zenon_intro zenon_H2be.
% 8.02/8.19 exact (zenon_H2ba zenon_H1e).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H2bf ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H1e. zenon_intro zenon_H2c1.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2ba. zenon_intro zenon_H2c2.
% 8.02/8.19 exact (zenon_H2ba zenon_H1e).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2c4 | zenon_intro zenon_H2c3 ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H1e. zenon_intro zenon_H2c5.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2ba. zenon_intro zenon_H2c6.
% 8.02/8.19 exact (zenon_H2ba zenon_H1e).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2c7 ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2c8). zenon_intro zenon_H25. zenon_intro zenon_H2c9.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_Hb5. zenon_intro zenon_H2b9.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H1e. zenon_intro zenon_H1e.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H1e. zenon_intro zenon_Hae.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_Hb4. zenon_intro zenon_H1af.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H231. zenon_intro zenon_H221.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H2d ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H9b | zenon_intro zenon_H36 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H47 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.19 exact (zenon_Hb5 zenon_Hb9).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.19 exact (zenon_Hb7 zenon_Hbb).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L23_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 exact (zenon_H9b zenon_H98).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.19 apply (zenon_L4_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.19 apply (zenon_L5_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.19 apply (zenon_L14_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 8.02/8.19 apply (zenon_L23_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 8.02/8.19 apply (zenon_L24_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 8.02/8.19 apply (zenon_L26_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 8.02/8.19 apply (zenon_L30_); trivial.
% 8.02/8.19 apply (zenon_L34_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 8.02/8.19 apply (zenon_L35_); trivial.
% 8.02/8.19 apply (zenon_L47_); trivial.
% 8.02/8.19 apply (zenon_L58_); trivial.
% 8.02/8.19 apply (zenon_L60_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.19 apply (zenon_L4_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.19 apply (zenon_L5_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.19 apply (zenon_L14_); trivial.
% 8.02/8.19 apply (zenon_L18_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H47 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.19 exact (zenon_Hb5 zenon_Hb9).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.19 exact (zenon_Hb5 zenon_Hb9).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.19 exact (zenon_Hb7 zenon_Hbb).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L48_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L64_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L38_); trivial.
% 8.02/8.19 exact (zenon_Hc0 zenon_H92).
% 8.02/8.19 apply (zenon_L51_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.19 exact (zenon_Hb5 zenon_Hb9).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.19 exact (zenon_Hb7 zenon_Hbb).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L65_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L36_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_L24_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L49_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.19 apply (zenon_L4_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.19 apply (zenon_L5_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.19 apply (zenon_L8_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd9 ].
% 8.02/8.19 exact (zenon_Hb7 zenon_Hbb).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hda ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 8.02/8.19 apply (zenon_L70_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 8.02/8.19 apply (zenon_L72_); trivial.
% 8.02/8.19 apply (zenon_L74_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd6 ].
% 8.02/8.19 apply (zenon_L68_); trivial.
% 8.02/8.19 apply (zenon_L69_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L38_); trivial.
% 8.02/8.19 exact (zenon_Hc0 zenon_H92).
% 8.02/8.19 apply (zenon_L57_); trivial.
% 8.02/8.19 apply (zenon_L60_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.19 exact (zenon_Hb5 zenon_Hb9).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.19 exact (zenon_Hb7 zenon_Hbb).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L75_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L75_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L20_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L52_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L48_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_L24_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L49_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.19 apply (zenon_L4_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.19 apply (zenon_L5_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.19 apply (zenon_L14_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd9 ].
% 8.02/8.19 exact (zenon_Hb7 zenon_Hbb).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hda ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 8.02/8.19 apply (zenon_L20_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 8.02/8.19 apply (zenon_L67_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 8.02/8.19 apply (zenon_L35_); trivial.
% 8.02/8.19 apply (zenon_L76_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd6 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 8.02/8.19 apply (zenon_L83_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 8.02/8.19 apply (zenon_L88_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 8.02/8.19 apply (zenon_L35_); trivial.
% 8.02/8.19 apply (zenon_L76_); trivial.
% 8.02/8.19 apply (zenon_L69_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L38_); trivial.
% 8.02/8.19 exact (zenon_Hc0 zenon_H92).
% 8.02/8.19 apply (zenon_L89_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L36_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_L24_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L49_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd9 ].
% 8.02/8.19 exact (zenon_Hb7 zenon_Hbb).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hda ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 8.02/8.19 apply (zenon_L84_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 8.02/8.19 apply (zenon_L72_); trivial.
% 8.02/8.19 apply (zenon_L74_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd6 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H185 ].
% 8.02/8.19 apply (zenon_L64_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H186 ].
% 8.02/8.19 apply (zenon_L90_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hde ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 8.02/8.19 apply (zenon_L96_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 8.02/8.19 apply (zenon_L97_); trivial.
% 8.02/8.19 apply (zenon_L74_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 8.02/8.19 apply (zenon_L88_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 8.02/8.19 apply (zenon_L98_); trivial.
% 8.02/8.19 apply (zenon_L74_); trivial.
% 8.02/8.19 apply (zenon_L93_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L38_); trivial.
% 8.02/8.19 exact (zenon_Hc0 zenon_H92).
% 8.02/8.19 apply (zenon_L57_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L41_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L48_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_L24_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L49_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.19 apply (zenon_L4_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.19 apply (zenon_L5_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.19 apply (zenon_L8_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd9 ].
% 8.02/8.19 exact (zenon_Hb7 zenon_Hbb).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hda ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 8.02/8.19 apply (zenon_L95_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 8.02/8.19 apply (zenon_L72_); trivial.
% 8.02/8.19 apply (zenon_L101_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd6 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H185 ].
% 8.02/8.19 apply (zenon_L103_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H186 ].
% 8.02/8.19 apply (zenon_L90_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hde ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 8.02/8.19 apply (zenon_L88_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 8.02/8.19 apply (zenon_L97_); trivial.
% 8.02/8.19 apply (zenon_L101_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 8.02/8.19 apply (zenon_L84_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 8.02/8.19 apply (zenon_L98_); trivial.
% 8.02/8.19 apply (zenon_L101_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 8.02/8.19 apply (zenon_L106_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 8.02/8.19 apply (zenon_L24_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 8.02/8.19 apply (zenon_L37_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H98 | zenon_intro zenon_Ha8 ].
% 8.02/8.19 apply (zenon_L41_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9c | zenon_intro zenon_Ha9 ].
% 8.02/8.19 apply (zenon_L43_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha1 ].
% 8.02/8.19 apply (zenon_L107_); trivial.
% 8.02/8.19 apply (zenon_L112_); trivial.
% 8.02/8.19 apply (zenon_L92_); trivial.
% 8.02/8.19 apply (zenon_L113_); trivial.
% 8.02/8.19 apply (zenon_L69_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L38_); trivial.
% 8.02/8.19 exact (zenon_Hc0 zenon_H92).
% 8.02/8.19 apply (zenon_L89_); trivial.
% 8.02/8.19 apply (zenon_L51_); trivial.
% 8.02/8.19 apply (zenon_L32_); trivial.
% 8.02/8.19 apply (zenon_L5_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.19 apply (zenon_L114_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H9f. zenon_intro zenon_H123.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H1b2. zenon_intro zenon_H1b1.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1aa. zenon_intro zenon_H1b3.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H127 | zenon_intro zenon_H1f ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H118 | zenon_intro zenon_H6e ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.19 exact (zenon_Hb5 zenon_Hb9).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L115_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L117_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L36_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_L24_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L49_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L66_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.19 apply (zenon_L122_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.19 apply (zenon_L5_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.19 apply (zenon_L14_); trivial.
% 8.02/8.19 apply (zenon_L126_); trivial.
% 8.02/8.19 apply (zenon_L39_); trivial.
% 8.02/8.19 apply (zenon_L57_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.19 apply (zenon_L127_); trivial.
% 8.02/8.19 apply (zenon_L60_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.19 exact (zenon_Hb5 zenon_Hb9).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.19 exact (zenon_Hb5 zenon_Hb9).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.19 apply (zenon_L132_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L115_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L84_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L41_); trivial.
% 8.02/8.19 apply (zenon_L103_); trivial.
% 8.02/8.19 apply (zenon_L60_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.19 exact (zenon_Hb5 zenon_Hb9).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.19 apply (zenon_L132_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L65_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L84_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L41_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L36_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_L24_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L49_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.19 apply (zenon_L134_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.19 apply (zenon_L85_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.19 apply (zenon_L14_); trivial.
% 8.02/8.19 apply (zenon_L70_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L38_); trivial.
% 8.02/8.19 apply (zenon_L39_); trivial.
% 8.02/8.19 apply (zenon_L57_); trivial.
% 8.02/8.19 apply (zenon_L60_); trivial.
% 8.02/8.19 apply (zenon_L135_); trivial.
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hfc. zenon_intro zenon_H12c.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H1f1. zenon_intro zenon_H1f0.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H193. zenon_intro zenon_H22c.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H15e. zenon_intro zenon_H245.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H158 | zenon_intro zenon_H86 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H165 | zenon_intro zenon_H6d ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H13a | zenon_intro zenon_H15c ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.19 exact (zenon_Hb5 zenon_Hb9).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.19 exact (zenon_Hb5 zenon_Hb9).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L36_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L66_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L136_); trivial.
% 8.02/8.19 apply (zenon_L138_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L36_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L66_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.19 apply (zenon_L4_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.19 apply (zenon_L5_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.19 apply (zenon_L14_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 8.02/8.19 apply (zenon_L141_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 8.02/8.19 apply (zenon_L35_); trivial.
% 8.02/8.19 apply (zenon_L150_); trivial.
% 8.02/8.19 apply (zenon_L39_); trivial.
% 8.02/8.19 apply (zenon_L202_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L36_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L210_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L38_); trivial.
% 8.02/8.19 apply (zenon_L138_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L41_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L36_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L211_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L38_); trivial.
% 8.02/8.19 apply (zenon_L39_); trivial.
% 8.02/8.19 apply (zenon_L60_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.19 exact (zenon_Hb5 zenon_Hb9).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L65_); trivial.
% 8.02/8.19 apply (zenon_L202_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L65_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.19 apply (zenon_L4_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.19 apply (zenon_L5_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.19 apply (zenon_L14_); trivial.
% 8.02/8.19 apply (zenon_L269_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L41_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L36_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_L24_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L49_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.19 apply (zenon_L4_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.19 apply (zenon_L5_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.19 apply (zenon_L14_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd9 ].
% 8.02/8.19 apply (zenon_L66_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hda ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 8.02/8.19 apply (zenon_L269_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 8.02/8.19 apply (zenon_L67_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 8.02/8.19 apply (zenon_L24_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 8.02/8.19 apply (zenon_L272_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 8.02/8.19 apply (zenon_L15_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 8.02/8.19 apply (zenon_L7_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H98 | zenon_intro zenon_Ha8 ].
% 8.02/8.19 apply (zenon_L268_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9c | zenon_intro zenon_Ha9 ].
% 8.02/8.19 apply (zenon_L43_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha1 ].
% 8.02/8.19 apply (zenon_L107_); trivial.
% 8.02/8.19 exact (zenon_H13a zenon_Ha1).
% 8.02/8.19 apply (zenon_L21_); trivial.
% 8.02/8.19 apply (zenon_L139_); trivial.
% 8.02/8.19 apply (zenon_L113_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd6 ].
% 8.02/8.19 apply (zenon_L68_); trivial.
% 8.02/8.19 exact (zenon_H165 zenon_Hd6).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L38_); trivial.
% 8.02/8.19 apply (zenon_L39_); trivial.
% 8.02/8.19 apply (zenon_L57_); trivial.
% 8.02/8.19 apply (zenon_L60_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.19 apply (zenon_L4_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.19 apply (zenon_L5_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.19 apply (zenon_L14_); trivial.
% 8.02/8.19 apply (zenon_L193_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.19 exact (zenon_Hb5 zenon_Hb9).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.19 exact (zenon_Hb5 zenon_Hb9).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L36_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L66_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L200_); trivial.
% 8.02/8.19 apply (zenon_L138_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 8.02/8.19 apply (zenon_L24_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 8.02/8.19 apply (zenon_L163_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 8.02/8.19 apply (zenon_L273_); trivial.
% 8.02/8.19 apply (zenon_L139_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L36_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.19 apply (zenon_L4_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.19 apply (zenon_L5_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.19 apply (zenon_L203_); trivial.
% 8.02/8.19 apply (zenon_L59_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L200_); trivial.
% 8.02/8.19 apply (zenon_L167_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L65_); trivial.
% 8.02/8.19 apply (zenon_L275_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L36_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_L24_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_L274_); trivial.
% 8.02/8.19 apply (zenon_L89_); trivial.
% 8.02/8.19 apply (zenon_L201_); trivial.
% 8.02/8.19 apply (zenon_L36_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H2cb | zenon_intro zenon_H2ca ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H25. zenon_intro zenon_H2cc.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hb5. zenon_intro zenon_H2be.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2d. zenon_intro zenon_Hbb.
% 8.02/8.19 apply (zenon_L5_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H2ce | zenon_intro zenon_H2cd ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H25. zenon_intro zenon_H2cf.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_Hb5. zenon_intro zenon_H2c2.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H36. zenon_intro zenon_H98.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H1e. zenon_intro zenon_Hae.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_Hb4. zenon_intro zenon_H1af.
% 8.02/8.19 apply (zenon_L52_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.19 apply (zenon_L114_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.19 apply (zenon_L129_); trivial.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hfc. zenon_intro zenon_H12c.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H1f1. zenon_intro zenon_H1f0.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H193. zenon_intro zenon_H22c.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H15e. zenon_intro zenon_H245.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H158 | zenon_intro zenon_H86 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H165 | zenon_intro zenon_H6d ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H13a | zenon_intro zenon_H15c ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.19 exact (zenon_Hb5 zenon_Hb9).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L36_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 8.02/8.19 apply (zenon_L276_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 8.02/8.19 apply (zenon_L238_); trivial.
% 8.02/8.19 apply (zenon_L208_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L136_); trivial.
% 8.02/8.19 apply (zenon_L137_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.19 apply (zenon_L268_); trivial.
% 8.02/8.19 apply (zenon_L279_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.19 exact (zenon_Hb5 zenon_Hb9).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.19 exact (zenon_Hb5 zenon_Hb9).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L212_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L259_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L281_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L136_); trivial.
% 8.02/8.19 apply (zenon_L137_); trivial.
% 8.02/8.19 apply (zenon_L283_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.19 apply (zenon_L41_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L212_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L219_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L281_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L136_); trivial.
% 8.02/8.19 apply (zenon_L167_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L259_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_L24_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L49_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 8.02/8.19 apply (zenon_L17_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 8.02/8.19 apply (zenon_L246_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 8.02/8.19 apply (zenon_L246_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 8.02/8.19 apply (zenon_L204_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 8.02/8.19 apply (zenon_L24_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 8.02/8.19 apply (zenon_L162_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 8.02/8.19 apply (zenon_L63_); trivial.
% 8.02/8.19 apply (zenon_L73_); trivial.
% 8.02/8.19 apply (zenon_L113_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L136_); trivial.
% 8.02/8.19 apply (zenon_L137_); trivial.
% 8.02/8.19 apply (zenon_L57_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.19 exact (zenon_Hb5 zenon_Hb9).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L212_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L65_); trivial.
% 8.02/8.19 apply (zenon_L283_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.19 apply (zenon_L41_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L212_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L65_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L248_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_L24_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd9 ].
% 8.02/8.19 apply (zenon_L266_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hda ].
% 8.02/8.19 apply (zenon_L245_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd6 ].
% 8.02/8.19 apply (zenon_L68_); trivial.
% 8.02/8.19 exact (zenon_H165 zenon_Hd6).
% 8.02/8.19 apply (zenon_L57_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.19 exact (zenon_Hb5 zenon_Hb9).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.19 apply (zenon_L277_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.19 apply (zenon_L41_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L212_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L259_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_L24_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_L278_); trivial.
% 8.02/8.19 apply (zenon_L89_); trivial.
% 8.02/8.19 apply (zenon_L258_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 8.02/8.19 apply (zenon_L260_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.19 exact (zenon_Hb5 zenon_Hb9).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L264_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L66_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L136_); trivial.
% 8.02/8.19 apply (zenon_L137_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.19 apply (zenon_L41_); trivial.
% 8.02/8.19 apply (zenon_L50_); trivial.
% 8.02/8.19 apply (zenon_L215_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.19 exact (zenon_Hb5 zenon_Hb9).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L219_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L37_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L136_); trivial.
% 8.02/8.19 apply (zenon_L137_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L212_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L65_); trivial.
% 8.02/8.19 apply (zenon_L285_); trivial.
% 8.02/8.19 apply (zenon_L286_); trivial.
% 8.02/8.19 apply (zenon_L284_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2d0 ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H25. zenon_intro zenon_H2d2.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_Hb5. zenon_intro zenon_H2c6.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H47. zenon_intro zenon_H92.
% 8.02/8.19 apply (zenon_L317_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H2d3 ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H111. zenon_intro zenon_H2d5.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H24. zenon_intro zenon_H2b9.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H1e. zenon_intro zenon_H1e.
% 8.02/8.19 apply (zenon_L318_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2d6 ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H111. zenon_intro zenon_H2d8.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H24. zenon_intro zenon_H2be.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2d. zenon_intro zenon_Hbb.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.19 apply (zenon_L319_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.19 apply (zenon_L320_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.19 apply (zenon_L321_); trivial.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hfc. zenon_intro zenon_H12c.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H1f1. zenon_intro zenon_H1f0.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H193. zenon_intro zenon_H22c.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H15e. zenon_intro zenon_H245.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H158 | zenon_intro zenon_H86 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H165 | zenon_intro zenon_H6d ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H13a | zenon_intro zenon_H15c ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 8.02/8.19 apply (zenon_L318_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 exact (zenon_H24 zenon_H1f).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 exact (zenon_H24 zenon_H1f).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L329_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H185 ].
% 8.02/8.19 apply (zenon_L332_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H186 ].
% 8.02/8.19 apply (zenon_L221_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hde ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 8.02/8.19 apply (zenon_L85_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 8.02/8.19 apply (zenon_L341_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 8.02/8.19 apply (zenon_L66_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 8.02/8.19 apply (zenon_L164_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 8.02/8.19 apply (zenon_L338_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 8.02/8.19 apply (zenon_L205_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 8.02/8.19 apply (zenon_L371_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 8.02/8.19 apply (zenon_L293_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 8.02/8.19 apply (zenon_L326_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 8.02/8.19 apply (zenon_L359_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 8.02/8.19 apply (zenon_L330_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 8.02/8.19 apply (zenon_L331_); trivial.
% 8.02/8.19 apply (zenon_L12_); trivial.
% 8.02/8.19 apply (zenon_L139_); trivial.
% 8.02/8.19 apply (zenon_L109_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 8.02/8.19 apply (zenon_L17_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 8.02/8.19 apply (zenon_L128_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 8.02/8.19 apply (zenon_L341_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 8.02/8.19 apply (zenon_L66_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 8.02/8.19 apply (zenon_L164_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 8.02/8.19 apply (zenon_L338_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 8.02/8.19 apply (zenon_L205_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 8.02/8.19 apply (zenon_L370_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 8.02/8.19 apply (zenon_L293_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 8.02/8.19 apply (zenon_L326_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1cb ].
% 8.02/8.19 apply (zenon_L322_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1cc ].
% 8.02/8.19 apply (zenon_L323_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H13e | zenon_intro zenon_He0 ].
% 8.02/8.19 apply (zenon_L325_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H98 | zenon_intro zenon_Ha8 ].
% 8.02/8.19 apply (zenon_L327_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9c | zenon_intro zenon_Ha9 ].
% 8.02/8.19 apply (zenon_L43_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha1 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 8.02/8.19 apply (zenon_L372_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 8.02/8.19 apply (zenon_L79_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 8.02/8.19 apply (zenon_L331_); trivial.
% 8.02/8.19 apply (zenon_L12_); trivial.
% 8.02/8.19 exact (zenon_H13a zenon_Ha1).
% 8.02/8.19 apply (zenon_L91_); trivial.
% 8.02/8.19 apply (zenon_L109_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 exact (zenon_H24 zenon_H1f).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L329_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L333_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L66_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H185 ].
% 8.02/8.19 apply (zenon_L385_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H186 ].
% 8.02/8.19 apply (zenon_L221_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hde ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 8.02/8.19 apply (zenon_L17_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 8.02/8.19 apply (zenon_L85_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 8.02/8.19 apply (zenon_L35_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 8.02/8.19 apply (zenon_L66_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 8.02/8.19 apply (zenon_L397_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 8.02/8.19 apply (zenon_L398_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 8.02/8.19 apply (zenon_L205_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 8.02/8.19 apply (zenon_L366_); trivial.
% 8.02/8.19 apply (zenon_L140_); trivial.
% 8.02/8.19 apply (zenon_L109_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 8.02/8.19 apply (zenon_L85_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 8.02/8.19 apply (zenon_L35_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 8.02/8.19 apply (zenon_L399_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 8.02/8.19 apply (zenon_L142_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 8.02/8.19 apply (zenon_L66_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 8.02/8.19 apply (zenon_L164_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1cb ].
% 8.02/8.19 apply (zenon_L65_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1cc ].
% 8.02/8.19 apply (zenon_L323_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H13e | zenon_intro zenon_He0 ].
% 8.02/8.19 apply (zenon_L325_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 8.02/8.19 apply (zenon_L379_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 8.02/8.19 apply (zenon_L79_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 8.02/8.19 apply (zenon_L331_); trivial.
% 8.02/8.19 apply (zenon_L384_); trivial.
% 8.02/8.19 apply (zenon_L109_); trivial.
% 8.02/8.19 apply (zenon_L153_); trivial.
% 8.02/8.19 apply (zenon_L39_); trivial.
% 8.02/8.19 apply (zenon_L283_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 exact (zenon_H24 zenon_H1f).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 exact (zenon_H24 zenon_H1f).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L17_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L329_); trivial.
% 8.02/8.19 apply (zenon_L332_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L411_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L66_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L385_); trivial.
% 8.02/8.19 apply (zenon_L138_); trivial.
% 8.02/8.19 apply (zenon_L283_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.19 apply (zenon_L322_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 exact (zenon_H24 zenon_H1f).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 exact (zenon_H24 zenon_H1f).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L17_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L329_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L406_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_L338_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_L118_); trivial.
% 8.02/8.19 apply (zenon_L89_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 exact (zenon_H24 zenon_H1f).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L329_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L407_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L217_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L66_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H185 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 8.02/8.19 apply (zenon_L85_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 8.02/8.19 apply (zenon_L35_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 8.02/8.19 apply (zenon_L343_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 8.02/8.19 apply (zenon_L142_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 8.02/8.19 apply (zenon_L412_); trivial.
% 8.02/8.19 apply (zenon_L153_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H186 ].
% 8.02/8.19 apply (zenon_L221_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hde ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 8.02/8.19 apply (zenon_L17_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 8.02/8.19 apply (zenon_L246_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 8.02/8.19 apply (zenon_L35_); trivial.
% 8.02/8.19 apply (zenon_L398_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 8.02/8.19 apply (zenon_L85_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 8.02/8.19 apply (zenon_L35_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 8.02/8.19 apply (zenon_L399_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 8.02/8.19 apply (zenon_L142_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 8.02/8.19 apply (zenon_L412_); trivial.
% 8.02/8.19 apply (zenon_L153_); trivial.
% 8.02/8.19 apply (zenon_L39_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_L118_); trivial.
% 8.02/8.19 apply (zenon_L89_); trivial.
% 8.02/8.19 apply (zenon_L197_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 8.02/8.19 apply (zenon_L371_); trivial.
% 8.02/8.19 apply (zenon_L413_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 8.02/8.19 apply (zenon_L318_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 exact (zenon_H24 zenon_H1f).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L17_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L329_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L414_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L66_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L200_); trivial.
% 8.02/8.19 apply (zenon_L39_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 exact (zenon_H24 zenon_H1f).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L260_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L410_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L66_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L123_); trivial.
% 8.02/8.19 apply (zenon_L39_); trivial.
% 8.02/8.19 apply (zenon_L413_); trivial.
% 8.02/8.19 apply (zenon_L164_); trivial.
% 8.02/8.19 apply (zenon_L414_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2da | zenon_intro zenon_H2d9 ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H111. zenon_intro zenon_H2db.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H24. zenon_intro zenon_H2c2.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H36. zenon_intro zenon_H98.
% 8.02/8.19 apply (zenon_L326_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2dd | zenon_intro zenon_H2dc ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H111. zenon_intro zenon_H2de.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H24. zenon_intro zenon_H2c6.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H47. zenon_intro zenon_H92.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.19 apply (zenon_L319_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hc6. zenon_intro zenon_H107.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H109. zenon_intro zenon_H108.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H23c. zenon_intro zenon_H23b.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H23b). zenon_intro zenon_H23d. zenon_intro zenon_H208.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1eb | zenon_intro zenon_H13e ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1e9 | zenon_intro zenon_He2 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 8.02/8.19 apply (zenon_L318_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.19 apply (zenon_L421_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.19 apply (zenon_L221_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 exact (zenon_H24 zenon_H1f).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L17_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L41_); trivial.
% 8.02/8.19 apply (zenon_L39_); trivial.
% 8.02/8.19 apply (zenon_L167_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.19 apply (zenon_L428_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.19 apply (zenon_L320_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.19 apply (zenon_L15_); trivial.
% 8.02/8.19 apply (zenon_L167_); trivial.
% 8.02/8.19 apply (zenon_L313_); trivial.
% 8.02/8.19 apply (zenon_L308_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.19 apply (zenon_L417_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.19 apply (zenon_L221_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 exact (zenon_H24 zenon_H1f).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L429_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L41_); trivial.
% 8.02/8.19 apply (zenon_L39_); trivial.
% 8.02/8.19 apply (zenon_L167_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.19 apply (zenon_L321_); trivial.
% 8.02/8.19 apply (zenon_L138_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2e0 | zenon_intro zenon_H2df ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H15a. zenon_intro zenon_H2e1.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H87. zenon_intro zenon_H2b9.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H1e. zenon_intro zenon_H1e.
% 8.02/8.19 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e0) (e3)))).
% 8.02/8.19 intro zenon_D_pnotp.
% 8.02/8.19 apply zenon_H299.
% 8.02/8.19 rewrite <- zenon_D_pnotp.
% 8.02/8.19 exact zenon_H1e.
% 8.02/8.19 cut (((e0) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H2e2].
% 8.02/8.19 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 8.02/8.19 congruence.
% 8.02/8.19 apply zenon_H2b. apply refl_equal.
% 8.02/8.19 apply zenon_H2e2. apply sym_equal. exact zenon_H15a.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H2e3 ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H15a. zenon_intro zenon_H2e5.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H87. zenon_intro zenon_H2be.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2d. zenon_intro zenon_Hbb.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H1e. zenon_intro zenon_Hae.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_Hb4. zenon_intro zenon_H1af.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H231. zenon_intro zenon_H221.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H47 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 exact (zenon_H87 zenon_H86).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L66_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H31 | zenon_intro zenon_H52 ].
% 8.02/8.19 apply (zenon_L123_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H34 | zenon_intro zenon_H53 ].
% 8.02/8.19 apply (zenon_L293_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ].
% 8.02/8.19 apply (zenon_L434_); trivial.
% 8.02/8.19 apply (zenon_L435_); trivial.
% 8.02/8.19 exact (zenon_Hc0 zenon_H92).
% 8.02/8.19 apply (zenon_L430_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.19 apply (zenon_L320_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H9f. zenon_intro zenon_H123.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H1b2. zenon_intro zenon_H1b1.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1aa. zenon_intro zenon_H1b3.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H118 | zenon_intro zenon_H6e ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L439_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L440_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L115_); trivial.
% 8.02/8.19 apply (zenon_L223_); trivial.
% 8.02/8.19 apply (zenon_L85_); trivial.
% 8.02/8.19 apply (zenon_L441_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H15a. zenon_intro zenon_H2e8.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H87. zenon_intro zenon_H2c2.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H36. zenon_intro zenon_H98.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.19 apply (zenon_L434_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hc6. zenon_intro zenon_H107.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H109. zenon_intro zenon_H108.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H23c. zenon_intro zenon_H23b.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H23b). zenon_intro zenon_H23d. zenon_intro zenon_H208.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1eb | zenon_intro zenon_H13e ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.19 apply (zenon_L442_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.19 apply (zenon_L61_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.19 apply (zenon_L445_); trivial.
% 8.02/8.19 apply (zenon_L249_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.19 apply (zenon_L464_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.19 apply (zenon_L61_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L212_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 exact (zenon_H87 zenon_H86).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_L338_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_L443_); trivial.
% 8.02/8.19 apply (zenon_L438_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L65_); trivial.
% 8.02/8.19 apply (zenon_L223_); trivial.
% 8.02/8.19 apply (zenon_L249_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 8.02/8.19 apply (zenon_L260_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.19 apply (zenon_L464_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.19 apply (zenon_L221_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.19 apply (zenon_L41_); trivial.
% 8.02/8.19 apply (zenon_L50_); trivial.
% 8.02/8.19 apply (zenon_L155_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.19 apply (zenon_L129_); trivial.
% 8.02/8.19 apply (zenon_L441_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2ea | zenon_intro zenon_H2e9 ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H15a. zenon_intro zenon_H2eb.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H87. zenon_intro zenon_H2c6.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H47. zenon_intro zenon_H92.
% 8.02/8.19 apply (zenon_L430_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H2ed | zenon_intro zenon_H2ec ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_Hbb. zenon_intro zenon_H2ee.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_Heb. zenon_intro zenon_H2ef.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Hb9. zenon_intro zenon_H25.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.19 apply (zenon_L465_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.19 apply (zenon_L320_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H9f. zenon_intro zenon_H123.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H1b2. zenon_intro zenon_H1b1.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H127 | zenon_intro zenon_H1f ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L462_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L115_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 8.02/8.19 apply (zenon_L472_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 8.02/8.19 apply (zenon_L107_); trivial.
% 8.02/8.19 apply (zenon_L113_); trivial.
% 8.02/8.19 apply (zenon_L462_); trivial.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hfc. zenon_intro zenon_H12c.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H1f1. zenon_intro zenon_H1f0.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H193. zenon_intro zenon_H22c.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H15e. zenon_intro zenon_H245.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H158 | zenon_intro zenon_H86 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H165 | zenon_intro zenon_H6d ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H13a | zenon_intro zenon_H15c ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 8.02/8.19 apply (zenon_L442_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L462_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 8.02/8.19 apply (zenon_L246_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 8.02/8.19 apply (zenon_L35_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 8.02/8.19 apply (zenon_L142_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 8.02/8.19 apply (zenon_L204_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 8.02/8.19 apply (zenon_L476_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 8.02/8.19 apply (zenon_L206_); trivial.
% 8.02/8.19 apply (zenon_L109_); trivial.
% 8.02/8.19 apply (zenon_L478_); trivial.
% 8.02/8.19 apply (zenon_L283_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L462_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L462_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L479_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 8.02/8.19 apply (zenon_L470_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 8.02/8.19 apply (zenon_L35_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 8.02/8.19 apply (zenon_L142_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 8.02/8.19 apply (zenon_L480_); trivial.
% 8.02/8.19 apply (zenon_L478_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L462_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L260_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L333_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_L24_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L49_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L481_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L123_); trivial.
% 8.02/8.19 apply (zenon_L39_); trivial.
% 8.02/8.19 apply (zenon_L57_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L462_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L462_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L479_); trivial.
% 8.02/8.19 apply (zenon_L77_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L462_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L333_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_L24_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L49_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L481_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L136_); trivial.
% 8.02/8.19 apply (zenon_L313_); trivial.
% 8.02/8.19 apply (zenon_L57_); trivial.
% 8.02/8.19 apply (zenon_L77_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L462_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L333_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 8.02/8.19 apply (zenon_L449_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 8.02/8.19 apply (zenon_L35_); trivial.
% 8.02/8.19 apply (zenon_L483_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L200_); trivial.
% 8.02/8.19 apply (zenon_L137_); trivial.
% 8.02/8.19 apply (zenon_L484_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H13a | zenon_intro zenon_H15c ].
% 8.02/8.19 apply (zenon_L476_); trivial.
% 8.02/8.19 apply (zenon_L334_); trivial.
% 8.02/8.19 apply (zenon_L333_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H2f0 ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_Hbb. zenon_intro zenon_H2f2.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_Heb. zenon_intro zenon_H2f3.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_Hc6. zenon_intro zenon_Hc6.
% 8.02/8.19 apply (zenon_L221_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H2f4 ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_Hbb. zenon_intro zenon_H2f6.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_Heb. zenon_intro zenon_H2f7.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H13e. zenon_intro zenon_H9c.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.19 apply (zenon_L465_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.19 apply (zenon_L320_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.19 apply (zenon_L311_); trivial.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hfc. zenon_intro zenon_H12c.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H1f1. zenon_intro zenon_H1f0.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H193. zenon_intro zenon_H22c.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H15e. zenon_intro zenon_H245.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H158 | zenon_intro zenon_H86 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H165 | zenon_intro zenon_H6d ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H13a | zenon_intro zenon_H15c ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1e | zenon_intro zenon_H236 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.19 apply (zenon_L442_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L238_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.19 apply (zenon_L4_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.19 exact (zenon_Heb zenon_H2d).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.19 apply (zenon_L487_); trivial.
% 8.02/8.19 apply (zenon_L488_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.19 apply (zenon_L175_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L296_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L238_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.19 apply (zenon_L4_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.19 exact (zenon_Heb zenon_H2d).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.19 apply (zenon_L192_); trivial.
% 8.02/8.19 apply (zenon_L193_); trivial.
% 8.02/8.19 apply (zenon_L197_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H25 | zenon_intro zenon_H237 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.19 apply (zenon_L442_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L492_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L296_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L492_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L238_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.19 apply (zenon_L504_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.19 exact (zenon_Heb zenon_H2d).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.19 apply (zenon_L506_); trivial.
% 8.02/8.19 apply (zenon_L488_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L238_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L36_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_L24_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.19 apply (zenon_L512_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.19 exact (zenon_Heb zenon_H2d).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.19 apply (zenon_L506_); trivial.
% 8.02/8.19 apply (zenon_L488_); trivial.
% 8.02/8.19 apply (zenon_L57_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.19 apply (zenon_L175_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L514_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L514_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L238_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L494_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_L24_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L49_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L204_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.19 apply (zenon_L515_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.19 exact (zenon_Heb zenon_H2d).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.19 apply (zenon_L192_); trivial.
% 8.02/8.19 apply (zenon_L193_); trivial.
% 8.02/8.19 apply (zenon_L39_); trivial.
% 8.02/8.19 apply (zenon_L89_); trivial.
% 8.02/8.19 apply (zenon_L197_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L492_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L296_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L492_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L238_); trivial.
% 8.02/8.19 apply (zenon_L504_); trivial.
% 8.02/8.19 apply (zenon_L283_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L243_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L519_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L123_); trivial.
% 8.02/8.19 apply (zenon_L138_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L260_); trivial.
% 8.02/8.19 apply (zenon_L520_); trivial.
% 8.02/8.19 apply (zenon_L505_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H111 | zenon_intro zenon_H15a ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 8.02/8.19 apply (zenon_L318_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L462_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L296_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L462_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L238_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L333_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H25 | zenon_intro zenon_H214 ].
% 8.02/8.19 apply (zenon_L204_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H2d | zenon_intro zenon_H215 ].
% 8.02/8.19 exact (zenon_Heb zenon_H2d).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H34 | zenon_intro zenon_H41 ].
% 8.02/8.19 apply (zenon_L523_); trivial.
% 8.02/8.19 apply (zenon_L518_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H185 ].
% 8.02/8.19 apply (zenon_L521_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H186 ].
% 8.02/8.19 apply (zenon_L221_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hde ].
% 8.02/8.19 apply (zenon_L97_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H2d | zenon_intro zenon_Hcd ].
% 8.02/8.19 exact (zenon_Heb zenon_H2d).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hce ].
% 8.02/8.19 apply (zenon_L306_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 8.02/8.19 apply (zenon_L185_); trivial.
% 8.02/8.19 apply (zenon_L498_); trivial.
% 8.02/8.19 apply (zenon_L39_); trivial.
% 8.02/8.19 apply (zenon_L283_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L496_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L17_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L238_); trivial.
% 8.02/8.19 apply (zenon_L521_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.19 apply (zenon_L175_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L524_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L296_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L524_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L238_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L494_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L494_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H25 | zenon_intro zenon_H214 ].
% 8.02/8.19 apply (zenon_L24_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H2d | zenon_intro zenon_H215 ].
% 8.02/8.19 exact (zenon_Heb zenon_H2d).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H34 | zenon_intro zenon_H41 ].
% 8.02/8.19 apply (zenon_L523_); trivial.
% 8.02/8.19 apply (zenon_L485_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H25 | zenon_intro zenon_H214 ].
% 8.02/8.19 apply (zenon_L24_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H2d | zenon_intro zenon_H215 ].
% 8.02/8.19 exact (zenon_Heb zenon_H2d).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H34 | zenon_intro zenon_H41 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H185 ].
% 8.02/8.19 apply (zenon_L521_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H186 ].
% 8.02/8.19 apply (zenon_L221_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hde ].
% 8.02/8.19 apply (zenon_L97_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 8.02/8.19 apply (zenon_L522_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 8.02/8.19 apply (zenon_L498_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 8.02/8.19 apply (zenon_L77_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 8.02/8.19 apply (zenon_L79_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H15a | zenon_intro zenon_H159 ].
% 8.02/8.19 exact (zenon_H158 zenon_H15a).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5d | zenon_intro zenon_H15b ].
% 8.02/8.19 apply (zenon_L193_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e | zenon_intro zenon_H1e7 ].
% 8.02/8.19 apply (zenon_L318_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1e8 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H2d | zenon_intro zenon_Hcd ].
% 8.02/8.19 exact (zenon_Heb zenon_H2d).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hce ].
% 8.02/8.19 apply (zenon_L306_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 8.02/8.19 apply (zenon_L229_); trivial.
% 8.02/8.19 apply (zenon_L395_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1f | zenon_intro zenon_H86 ].
% 8.02/8.19 apply (zenon_L376_); trivial.
% 8.02/8.19 apply (zenon_L344_); trivial.
% 8.02/8.19 apply (zenon_L256_); trivial.
% 8.02/8.19 apply (zenon_L196_); trivial.
% 8.02/8.19 apply (zenon_L109_); trivial.
% 8.02/8.19 apply (zenon_L485_); trivial.
% 8.02/8.19 apply (zenon_L137_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_L118_); trivial.
% 8.02/8.19 apply (zenon_L89_); trivial.
% 8.02/8.19 apply (zenon_L197_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L462_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L260_); trivial.
% 8.02/8.19 apply (zenon_L520_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L496_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L238_); trivial.
% 8.02/8.19 apply (zenon_L520_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.19 apply (zenon_L322_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L494_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_L525_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_L118_); trivial.
% 8.02/8.19 apply (zenon_L89_); trivial.
% 8.02/8.19 apply (zenon_L379_); trivial.
% 8.02/8.19 exact (zenon_H158 zenon_H15a).
% 8.02/8.19 apply (zenon_L354_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H13a | zenon_intro zenon_H15c ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1e | zenon_intro zenon_H236 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.19 apply (zenon_L442_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L507_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L238_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.19 apply (zenon_L511_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.19 exact (zenon_Heb zenon_H2d).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.19 apply (zenon_L487_); trivial.
% 8.02/8.19 apply (zenon_L488_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.19 apply (zenon_L175_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L296_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L238_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L36_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_L104_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L49_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L37_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L526_); trivial.
% 8.02/8.19 apply (zenon_L39_); trivial.
% 8.02/8.19 apply (zenon_L89_); trivial.
% 8.02/8.19 apply (zenon_L197_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H25 | zenon_intro zenon_H237 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.19 apply (zenon_L442_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L507_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L507_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L238_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L493_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L37_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.19 apply (zenon_L503_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.19 exact (zenon_Heb zenon_H2d).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.19 apply (zenon_L506_); trivial.
% 8.02/8.19 apply (zenon_L527_); trivial.
% 8.02/8.19 apply (zenon_L138_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L238_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.19 apply (zenon_L510_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.19 exact (zenon_Heb zenon_H2d).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.19 apply (zenon_L506_); trivial.
% 8.02/8.19 apply (zenon_L527_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.19 apply (zenon_L175_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L514_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L296_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L514_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L116_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L238_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L36_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L204_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L526_); trivial.
% 8.02/8.19 apply (zenon_L138_); trivial.
% 8.02/8.19 apply (zenon_L197_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L507_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L509_); trivial.
% 8.02/8.19 apply (zenon_L283_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 8.02/8.19 apply (zenon_L528_); trivial.
% 8.02/8.19 apply (zenon_L505_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H111 | zenon_intro zenon_H15a ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 8.02/8.19 apply (zenon_L318_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 8.02/8.19 apply (zenon_L502_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 8.02/8.19 apply (zenon_L528_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.19 apply (zenon_L337_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L496_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L296_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L493_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_L37_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L498_); trivial.
% 8.02/8.19 apply (zenon_L313_); trivial.
% 8.02/8.19 apply (zenon_L500_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.19 apply (zenon_L322_); trivial.
% 8.02/8.19 apply (zenon_L501_); trivial.
% 8.02/8.19 exact (zenon_H158 zenon_H15a).
% 8.02/8.19 apply (zenon_L354_); trivial.
% 8.02/8.19 apply (zenon_L494_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H2f8 ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_Hbb. zenon_intro zenon_H2fa.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_Heb. zenon_intro zenon_H2fb.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_He2. zenon_intro zenon_H7f.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.19 apply (zenon_L465_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.19 apply (zenon_L320_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H9f. zenon_intro zenon_H123.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H1b2. zenon_intro zenon_H1b1.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H127 | zenon_intro zenon_H1f ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1e | zenon_intro zenon_H236 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.19 apply (zenon_L442_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L297_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L115_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L36_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_L529_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_L531_); trivial.
% 8.02/8.19 apply (zenon_L57_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L533_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H25 | zenon_intro zenon_H214 ].
% 8.02/8.19 apply (zenon_L536_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H2d | zenon_intro zenon_H215 ].
% 8.02/8.19 exact (zenon_Heb zenon_H2d).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H34 | zenon_intro zenon_H41 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H185 ].
% 8.02/8.19 apply (zenon_L295_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H186 ].
% 8.02/8.19 apply (zenon_L221_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hde ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H2d | zenon_intro zenon_Hcd ].
% 8.02/8.19 exact (zenon_Heb zenon_H2d).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hce ].
% 8.02/8.19 apply (zenon_L228_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 8.02/8.19 apply (zenon_L543_); trivial.
% 8.02/8.19 apply (zenon_L294_); trivial.
% 8.02/8.19 apply (zenon_L91_); trivial.
% 8.02/8.19 apply (zenon_L31_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L65_); trivial.
% 8.02/8.19 apply (zenon_L535_); trivial.
% 8.02/8.19 apply (zenon_L81_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H25 | zenon_intro zenon_H237 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L2_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L115_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L36_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_L24_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_L531_); trivial.
% 8.02/8.19 apply (zenon_L57_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L533_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L115_); trivial.
% 8.02/8.19 apply (zenon_L544_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L533_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L115_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L533_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L17_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L129_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L540_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_L24_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.19 apply (zenon_L49_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 8.02/8.19 apply (zenon_L17_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 8.02/8.19 apply (zenon_L546_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 8.02/8.19 apply (zenon_L107_); trivial.
% 8.02/8.19 apply (zenon_L113_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.19 apply (zenon_L547_); trivial.
% 8.02/8.19 apply (zenon_L548_); trivial.
% 8.02/8.19 apply (zenon_L57_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L533_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L3_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L65_); trivial.
% 8.02/8.19 apply (zenon_L549_); trivial.
% 8.02/8.19 apply (zenon_L81_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 8.02/8.19 apply (zenon_L550_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 8.02/8.19 apply (zenon_L555_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 8.02/8.19 apply (zenon_L299_); trivial.
% 8.02/8.19 apply (zenon_L73_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 8.02/8.19 apply (zenon_L556_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 8.02/8.19 apply (zenon_L555_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 8.02/8.19 apply (zenon_L299_); trivial.
% 8.02/8.19 apply (zenon_L73_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H111 | zenon_intro zenon_H15a ].
% 8.02/8.19 exact (zenon_H127 zenon_H111).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.19 apply (zenon_L442_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.19 apply (zenon_L557_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.19 apply (zenon_L565_); trivial.
% 8.02/8.19 apply (zenon_L81_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.19 apply (zenon_L533_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.19 apply (zenon_L17_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.19 apply (zenon_L129_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.19 apply (zenon_L540_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.19 apply (zenon_L529_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.19 apply (zenon_L469_); trivial.
% 8.02/8.19 apply (zenon_L438_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.19 apply (zenon_L557_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.19 apply (zenon_L565_); trivial.
% 8.02/8.19 apply (zenon_L249_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L533_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L550_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L115_); trivial.
% 8.02/8.19 apply (zenon_L223_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.19 apply (zenon_L533_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.19 apply (zenon_L556_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.19 apply (zenon_L115_); trivial.
% 8.02/8.19 apply (zenon_L223_); trivial.
% 8.02/8.19 apply (zenon_L533_); trivial.
% 8.02/8.19 apply (zenon_L140_); trivial.
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_H2fd | zenon_intro zenon_H2fc ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_Hc6. zenon_intro zenon_H2fe.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H2ff. zenon_intro zenon_H2ef.
% 8.02/8.19 exact (zenon_H2ff zenon_Hc6).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H2fc); [ zenon_intro zenon_H301 | zenon_intro zenon_H300 ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_Hc6. zenon_intro zenon_H302.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H2ff. zenon_intro zenon_H2f3.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_Hc6. zenon_intro zenon_Hc6.
% 8.02/8.19 exact (zenon_H2ff zenon_Hc6).
% 8.02/8.19 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_H304 | zenon_intro zenon_H303 ].
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_Hc6. zenon_intro zenon_H305.
% 8.02/8.19 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H2ff. zenon_intro zenon_H2f7.
% 8.02/8.20 exact (zenon_H2ff zenon_Hc6).
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H307 | zenon_intro zenon_H306 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_Hc6. zenon_intro zenon_H308.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H2ff. zenon_intro zenon_H2fb.
% 8.02/8.20 exact (zenon_H2ff zenon_Hc6).
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H30a | zenon_intro zenon_H309 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_Hd2. zenon_intro zenon_H30b.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H6f. zenon_intro zenon_H2ef.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Hb9. zenon_intro zenon_H25.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.20 apply (zenon_L566_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.20 apply (zenon_L420_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.20 apply (zenon_L567_); trivial.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hfc. zenon_intro zenon_H12c.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H1f1. zenon_intro zenon_H1f0.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H193. zenon_intro zenon_H22c.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H15e. zenon_intro zenon_H245.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H158 | zenon_intro zenon_H86 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H13a | zenon_intro zenon_H15c ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 8.02/8.20 apply (zenon_L442_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.20 apply (zenon_L462_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.20 apply (zenon_L3_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.20 apply (zenon_L333_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.20 apply (zenon_L571_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H88 | zenon_intro zenon_H163 ].
% 8.02/8.20 apply (zenon_L571_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H6d | zenon_intro zenon_H164 ].
% 8.02/8.20 apply (zenon_L394_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H115 | zenon_intro zenon_Hfd ].
% 8.02/8.20 apply (zenon_L573_); trivial.
% 8.02/8.20 apply (zenon_L109_); trivial.
% 8.02/8.20 apply (zenon_L137_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.20 apply (zenon_L333_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.20 apply (zenon_L24_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 8.02/8.20 apply (zenon_L17_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 8.02/8.20 exact (zenon_H6f zenon_H6e).
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H26 | zenon_intro zenon_H13c ].
% 8.02/8.20 apply (zenon_L3_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6e | zenon_intro zenon_H13d ].
% 8.02/8.20 exact (zenon_H6f zenon_H6e).
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H9c | zenon_intro zenon_Hdc ].
% 8.02/8.20 apply (zenon_L574_); trivial.
% 8.02/8.20 apply (zenon_L575_); trivial.
% 8.02/8.20 apply (zenon_L113_); trivial.
% 8.02/8.20 apply (zenon_L57_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.20 apply (zenon_L333_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.20 apply (zenon_L571_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.20 apply (zenon_L123_); trivial.
% 8.02/8.20 apply (zenon_L137_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.20 apply (zenon_L462_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.20 apply (zenon_L3_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.20 apply (zenon_L333_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.20 apply (zenon_L587_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H185 ].
% 8.02/8.20 apply (zenon_L576_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H186 ].
% 8.02/8.20 apply (zenon_L90_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hde ].
% 8.02/8.20 apply (zenon_L588_); trivial.
% 8.02/8.20 apply (zenon_L586_); trivial.
% 8.02/8.20 apply (zenon_L137_); trivial.
% 8.02/8.20 apply (zenon_L590_); trivial.
% 8.02/8.20 apply (zenon_L584_); trivial.
% 8.02/8.20 apply (zenon_L333_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H309); [ zenon_intro zenon_H30d | zenon_intro zenon_H30c ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_Hd2. zenon_intro zenon_H30e.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H6f. zenon_intro zenon_H2f3.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_Hc6. zenon_intro zenon_Hc6.
% 8.02/8.20 apply (zenon_L90_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H310 | zenon_intro zenon_H30f ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_Hd2. zenon_intro zenon_H311.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H6f. zenon_intro zenon_H2f7.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H13e. zenon_intro zenon_H9c.
% 8.02/8.20 apply (zenon_L390_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H313 | zenon_intro zenon_H312 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hd2. zenon_intro zenon_H314.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H6f. zenon_intro zenon_H2fb.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_He2. zenon_intro zenon_H7f.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H1e. zenon_intro zenon_Hae.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_Hb4. zenon_intro zenon_H1af.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H231. zenon_intro zenon_H221.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H47 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.20 apply (zenon_L566_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H86 | zenon_intro zenon_H96 ].
% 8.02/8.20 apply (zenon_L48_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H88 | zenon_intro zenon_H97 ].
% 8.02/8.20 apply (zenon_L601_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 8.02/8.20 apply (zenon_L602_); trivial.
% 8.02/8.20 exact (zenon_Hc0 zenon_H92).
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.20 apply (zenon_L68_); trivial.
% 8.02/8.20 apply (zenon_L81_); trivial.
% 8.02/8.20 apply (zenon_L308_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.20 apply (zenon_L420_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.20 apply (zenon_L567_); trivial.
% 8.02/8.20 apply (zenon_L140_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H316 | zenon_intro zenon_H315 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_Hd6. zenon_intro zenon_H317.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_Hdb. zenon_intro zenon_H2ef.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Hb9. zenon_intro zenon_H25.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.20 apply (zenon_L566_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.20 apply (zenon_L604_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H9f. zenon_intro zenon_H123.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H1b2. zenon_intro zenon_H1b1.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1aa. zenon_intro zenon_H1b3.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H24c. zenon_intro zenon_H24b.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H127 | zenon_intro zenon_H1f ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H118 | zenon_intro zenon_H6e ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H228 | zenon_intro zenon_H195 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 8.02/8.20 apply (zenon_L442_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H5b | zenon_intro zenon_H11f ].
% 8.02/8.20 apply (zenon_L17_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H6e | zenon_intro zenon_H120 ].
% 8.02/8.20 apply (zenon_L607_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H83 | zenon_intro zenon_Ha2 ].
% 8.02/8.20 apply (zenon_L107_); trivial.
% 8.02/8.20 apply (zenon_L301_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 8.02/8.20 apply (zenon_L608_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.20 apply (zenon_L462_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.20 apply (zenon_L609_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.20 apply (zenon_L5_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 8.02/8.20 apply (zenon_L338_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 8.02/8.20 exact (zenon_Hdb zenon_H6d).
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 8.02/8.20 apply (zenon_L614_); trivial.
% 8.02/8.20 apply (zenon_L615_); trivial.
% 8.02/8.20 apply (zenon_L69_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.20 apply (zenon_L115_); trivial.
% 8.02/8.20 apply (zenon_L616_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 8.02/8.20 apply (zenon_L442_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.20 apply (zenon_L462_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.20 apply (zenon_L17_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.20 apply (zenon_L129_); trivial.
% 8.02/8.20 apply (zenon_L617_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 8.02/8.20 apply (zenon_L608_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.20 apply (zenon_L462_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.20 apply (zenon_L609_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.20 apply (zenon_L5_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hab ].
% 8.02/8.20 apply (zenon_L338_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H6d | zenon_intro zenon_Hac ].
% 8.02/8.20 exact (zenon_Hdb zenon_H6d).
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H70 | zenon_intro zenon_H7f ].
% 8.02/8.20 apply (zenon_L621_); trivial.
% 8.02/8.20 apply (zenon_L615_); trivial.
% 8.02/8.20 apply (zenon_L69_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.20 apply (zenon_L115_); trivial.
% 8.02/8.20 apply (zenon_L622_); trivial.
% 8.02/8.20 apply (zenon_L607_); trivial.
% 8.02/8.20 apply (zenon_L462_); trivial.
% 8.02/8.20 apply (zenon_L623_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H319 | zenon_intro zenon_H318 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_Hd6. zenon_intro zenon_H31a.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_Hdb. zenon_intro zenon_H2f3.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_Hc6. zenon_intro zenon_Hc6.
% 8.02/8.20 apply (zenon_L603_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H31c | zenon_intro zenon_H31b ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_Hd6. zenon_intro zenon_H31d.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_Hdb. zenon_intro zenon_H2f7.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H13e. zenon_intro zenon_H9c.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H1e. zenon_intro zenon_Hae.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_Hb4. zenon_intro zenon_H1af.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H231. zenon_intro zenon_H221.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.20 apply (zenon_L442_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H2d | zenon_intro zenon_Hcd ].
% 8.02/8.20 apply (zenon_L633_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hce ].
% 8.02/8.20 apply (zenon_L61_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 8.02/8.20 apply (zenon_L185_); trivial.
% 8.02/8.20 exact (zenon_Hdb zenon_H6d).
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.20 apply (zenon_L175_); trivial.
% 8.02/8.20 apply (zenon_L93_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.20 apply (zenon_L604_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.20 apply (zenon_L311_); trivial.
% 8.02/8.20 apply (zenon_L623_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_H31f | zenon_intro zenon_H31e ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_Hd6. zenon_intro zenon_H320.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_Hdb. zenon_intro zenon_H2fb.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_He2. zenon_intro zenon_H7f.
% 8.02/8.20 apply (zenon_L627_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H322 | zenon_intro zenon_H321 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H98. zenon_intro zenon_H323.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H16a. zenon_intro zenon_H324.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H1f. zenon_intro zenon_H111.
% 8.02/8.20 apply (zenon_L212_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_H326 | zenon_intro zenon_H325 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H98. zenon_intro zenon_H327.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H16a. zenon_intro zenon_H328.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H6e. zenon_intro zenon_Hd2.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.20 apply (zenon_L634_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.20 apply (zenon_L420_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.20 apply (zenon_L129_); trivial.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hfc. zenon_intro zenon_H12c.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H1f1. zenon_intro zenon_H1f0.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H193. zenon_intro zenon_H22c.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H165 | zenon_intro zenon_H6d ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.20 apply (zenon_L442_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.20 apply (zenon_L323_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.20 apply (zenon_L41_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H111 | zenon_intro zenon_H11c ].
% 8.02/8.20 apply (zenon_L318_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H37 | zenon_intro zenon_H11d ].
% 8.02/8.20 apply (zenon_L165_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H36 | zenon_intro zenon_H44 ].
% 8.02/8.20 exact (zenon_H16a zenon_H36).
% 8.02/8.20 apply (zenon_L636_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 8.02/8.20 apply (zenon_L246_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 8.02/8.20 apply (zenon_L260_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.20 apply (zenon_L639_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.20 apply (zenon_L323_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.20 apply (zenon_L41_); trivial.
% 8.02/8.20 apply (zenon_L50_); trivial.
% 8.02/8.20 apply (zenon_L26_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H32a | zenon_intro zenon_H329 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H98. zenon_intro zenon_H32b.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H16a. zenon_intro zenon_H32c.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H9f. zenon_intro zenon_H9f.
% 8.02/8.20 apply (zenon_L117_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H32e | zenon_intro zenon_H32d ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H98. zenon_intro zenon_H32f.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H16a. zenon_intro zenon_H330.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H195. zenon_intro zenon_Hf7.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.20 apply (zenon_L634_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hc6. zenon_intro zenon_H107.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H109. zenon_intro zenon_H108.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H23c. zenon_intro zenon_H23b.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H23b). zenon_intro zenon_H23d. zenon_intro zenon_H208.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H10a | zenon_intro zenon_Hb9 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1e9 | zenon_intro zenon_He2 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1e | zenon_intro zenon_H236 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.20 apply (zenon_L442_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.20 apply (zenon_L61_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.20 apply (zenon_L212_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H82 | zenon_intro zenon_H331 ].
% 8.02/8.20 apply (zenon_L65_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H83 | zenon_intro zenon_H332 ].
% 8.02/8.20 apply (zenon_L659_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H9f | zenon_intro zenon_H148 ].
% 8.02/8.20 apply (zenon_L117_); trivial.
% 8.02/8.20 apply (zenon_L355_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.20 apply (zenon_L65_); trivial.
% 8.02/8.20 apply (zenon_L622_); trivial.
% 8.02/8.20 apply (zenon_L640_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H25 | zenon_intro zenon_H237 ].
% 8.02/8.20 exact (zenon_H10a zenon_H25).
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H111 | zenon_intro zenon_H15a ].
% 8.02/8.20 apply (zenon_L661_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.20 apply (zenon_L442_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.20 apply (zenon_L61_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.20 apply (zenon_L442_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.20 apply (zenon_L221_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.20 apply (zenon_L662_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.20 apply (zenon_L212_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.20 apply (zenon_L652_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.20 apply (zenon_L338_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.20 apply (zenon_L108_); trivial.
% 8.02/8.20 apply (zenon_L438_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.20 apply (zenon_L65_); trivial.
% 8.02/8.20 apply (zenon_L223_); trivial.
% 8.02/8.20 apply (zenon_L249_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 8.02/8.20 apply (zenon_L655_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 8.02/8.20 apply (zenon_L260_); trivial.
% 8.02/8.20 apply (zenon_L618_); trivial.
% 8.02/8.20 apply (zenon_L532_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1e9 | zenon_intro zenon_He2 ].
% 8.02/8.20 apply (zenon_L650_); trivial.
% 8.02/8.20 apply (zenon_L532_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.20 apply (zenon_L129_); trivial.
% 8.02/8.20 apply (zenon_L336_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H334 | zenon_intro zenon_H333 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H9c. zenon_intro zenon_H335.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H13f. zenon_intro zenon_H324.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H1f. zenon_intro zenon_H111.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.20 apply (zenon_L75_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.20 apply (zenon_L663_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.20 apply (zenon_L311_); trivial.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hfc. zenon_intro zenon_H12c.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.20 apply (zenon_L462_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.20 apply (zenon_L496_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.20 apply (zenon_L322_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.20 apply (zenon_L243_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H185 ].
% 8.02/8.20 apply (zenon_L496_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H186 ].
% 8.02/8.20 apply (zenon_L665_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hde ].
% 8.02/8.20 apply (zenon_L97_); trivial.
% 8.02/8.20 apply (zenon_L376_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.20 apply (zenon_L118_); trivial.
% 8.02/8.20 apply (zenon_L89_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H337 | zenon_intro zenon_H336 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H9c. zenon_intro zenon_H338.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H13f. zenon_intro zenon_H328.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H6e. zenon_intro zenon_Hd2.
% 8.02/8.20 apply (zenon_L185_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H33a | zenon_intro zenon_H339 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H9c. zenon_intro zenon_H33b.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H13f. zenon_intro zenon_H32c.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H9f. zenon_intro zenon_H9f.
% 8.02/8.20 apply (zenon_L299_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H33d | zenon_intro zenon_H33c ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H9c. zenon_intro zenon_H33e.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H13f. zenon_intro zenon_H330.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H195. zenon_intro zenon_Hf7.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H1e. zenon_intro zenon_Hae.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_Hb4. zenon_intro zenon_H1af.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H231. zenon_intro zenon_H221.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H2d ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H9b | zenon_intro zenon_H36 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H47 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.20 apply (zenon_L442_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.20 exact (zenon_Hb7 zenon_Hbb).
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.20 apply (zenon_L662_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.20 apply (zenon_L2_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.20 apply (zenon_L681_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.20 apply (zenon_L683_); trivial.
% 8.02/8.20 apply (zenon_L622_); trivial.
% 8.02/8.20 apply (zenon_L675_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.20 apply (zenon_L442_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.20 exact (zenon_Hb7 zenon_Hbb).
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.20 apply (zenon_L662_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.20 apply (zenon_L75_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.20 apply (zenon_L75_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.20 apply (zenon_L17_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.20 apply (zenon_L684_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.20 apply (zenon_L8_); trivial.
% 8.02/8.20 apply (zenon_L685_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.20 apply (zenon_L238_); trivial.
% 8.02/8.20 apply (zenon_L78_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.20 apply (zenon_L2_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.20 apply (zenon_L17_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.20 apply (zenon_L686_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.20 apply (zenon_L8_); trivial.
% 8.02/8.20 apply (zenon_L689_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.20 apply (zenon_L238_); trivial.
% 8.02/8.20 apply (zenon_L617_); trivial.
% 8.02/8.20 apply (zenon_L622_); trivial.
% 8.02/8.20 apply (zenon_L684_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.20 apply (zenon_L663_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.20 apply (zenon_L311_); trivial.
% 8.02/8.20 apply (zenon_L336_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H340 | zenon_intro zenon_H33f ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H9f. zenon_intro zenon_H341.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_Ha0. zenon_intro zenon_H324.
% 8.02/8.20 exact (zenon_Ha0 zenon_H9f).
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H343 | zenon_intro zenon_H342 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H9f. zenon_intro zenon_H344.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_Ha0. zenon_intro zenon_H328.
% 8.02/8.20 exact (zenon_Ha0 zenon_H9f).
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H346 | zenon_intro zenon_H345 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H9f. zenon_intro zenon_H347.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_Ha0. zenon_intro zenon_H32c.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H9f. zenon_intro zenon_H9f.
% 8.02/8.20 exact (zenon_Ha0 zenon_H9f).
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H349 | zenon_intro zenon_H348 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H9f. zenon_intro zenon_H34a.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_Ha0. zenon_intro zenon_H330.
% 8.02/8.20 exact (zenon_Ha0 zenon_H9f).
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H34c | zenon_intro zenon_H34b ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_Ha1. zenon_intro zenon_H34d.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H1d6. zenon_intro zenon_H324.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H1f. zenon_intro zenon_H111.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.20 apply (zenon_L75_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hc6. zenon_intro zenon_H107.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.20 apply (zenon_L462_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.20 apply (zenon_L61_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.20 apply (zenon_L322_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc4 ].
% 8.02/8.20 apply (zenon_L243_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H66 | zenon_intro zenon_Hc5 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H54 | zenon_intro zenon_H143 ].
% 8.02/8.20 apply (zenon_L691_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H144 ].
% 8.02/8.20 apply (zenon_L228_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13e | zenon_intro zenon_H140 ].
% 8.02/8.20 apply (zenon_L692_); trivial.
% 8.02/8.20 apply (zenon_L425_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc1 ].
% 8.02/8.20 apply (zenon_L118_); trivial.
% 8.02/8.20 apply (zenon_L89_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.20 apply (zenon_L694_); trivial.
% 8.02/8.20 apply (zenon_L695_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H34b); [ zenon_intro zenon_H34f | zenon_intro zenon_H34e ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_Ha1. zenon_intro zenon_H350.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H1d6. zenon_intro zenon_H328.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H6e. zenon_intro zenon_Hd2.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H1e. zenon_intro zenon_Hae.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_Hb4. zenon_intro zenon_H1af.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H2d ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.20 apply (zenon_L442_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.20 exact (zenon_Hb7 zenon_Hbb).
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H1f | zenon_intro zenon_H125 ].
% 8.02/8.20 apply (zenon_L2_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H26 | zenon_intro zenon_H126 ].
% 8.02/8.20 apply (zenon_L128_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_Hbc ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H8e | zenon_intro zenon_H16c ].
% 8.02/8.20 apply (zenon_L38_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H70 | zenon_intro zenon_H16d ].
% 8.02/8.20 apply (zenon_L696_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H15c | zenon_intro zenon_H14e ].
% 8.02/8.20 exact (zenon_H1d6 zenon_H15c).
% 8.02/8.20 apply (zenon_L690_); trivial.
% 8.02/8.20 apply (zenon_L53_); trivial.
% 8.02/8.20 apply (zenon_L697_); trivial.
% 8.02/8.20 apply (zenon_L85_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.20 apply (zenon_L420_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.20 apply (zenon_L694_); trivial.
% 8.02/8.20 apply (zenon_L695_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H352 | zenon_intro zenon_H351 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_Ha1. zenon_intro zenon_H353.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H1d6. zenon_intro zenon_H32c.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H9f. zenon_intro zenon_H9f.
% 8.02/8.20 apply (zenon_L693_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H351); [ zenon_intro zenon_H355 | zenon_intro zenon_H354 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_Ha1. zenon_intro zenon_H356.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H1d6. zenon_intro zenon_H330.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H195. zenon_intro zenon_Hf7.
% 8.02/8.20 apply (zenon_L698_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H358 | zenon_intro zenon_H357 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H92. zenon_intro zenon_H359.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1a8. zenon_intro zenon_H35a.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H86. zenon_intro zenon_H15a.
% 8.02/8.20 apply (zenon_L426_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H35c | zenon_intro zenon_H35b ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H92. zenon_intro zenon_H35d.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H1a8. zenon_intro zenon_H35e.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H6d. zenon_intro zenon_Hd6.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.20 apply (zenon_L699_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.20 apply (zenon_L604_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H9f. zenon_intro zenon_H123.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H1f | zenon_intro zenon_Hed ].
% 8.02/8.20 apply (zenon_L700_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H5b | zenon_intro zenon_Hee ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H29 | zenon_intro zenon_H62 ].
% 8.02/8.20 apply (zenon_L17_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H2d | zenon_intro zenon_H63 ].
% 8.02/8.20 apply (zenon_L164_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 8.02/8.20 apply (zenon_L313_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H47 | zenon_intro zenon_H206 ].
% 8.02/8.20 exact (zenon_H1a8 zenon_H47).
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_He2 | zenon_intro zenon_H207 ].
% 8.02/8.20 apply (zenon_L627_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H195 | zenon_intro zenon_Hfc ].
% 8.02/8.20 apply (zenon_L673_); trivial.
% 8.02/8.20 apply (zenon_L137_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 8.02/8.20 apply (zenon_L11_); trivial.
% 8.02/8.20 exact (zenon_H1a8 zenon_H47).
% 8.02/8.20 apply (zenon_L69_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H98 | zenon_intro zenon_H93 ].
% 8.02/8.20 apply (zenon_L117_); trivial.
% 8.02/8.20 apply (zenon_L39_); trivial.
% 8.02/8.20 apply (zenon_L138_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H35b); [ zenon_intro zenon_H360 | zenon_intro zenon_H35f ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H92. zenon_intro zenon_H361.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H1a8. zenon_intro zenon_H362.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H15c. zenon_intro zenon_Ha1.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.20 apply (zenon_L699_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hc6. zenon_intro zenon_H107.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H109. zenon_intro zenon_H108.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H10a | zenon_intro zenon_Hb9 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1e | zenon_intro zenon_H236 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.20 apply (zenon_L701_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.20 apply (zenon_L61_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.20 apply (zenon_L703_); trivial.
% 8.02/8.20 apply (zenon_L705_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H25 | zenon_intro zenon_H237 ].
% 8.02/8.20 exact (zenon_H10a zenon_H25).
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H111 | zenon_intro zenon_H15a ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H160 ].
% 8.02/8.20 apply (zenon_L701_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H161 ].
% 8.02/8.20 apply (zenon_L61_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hcf | zenon_intro zenon_He3 ].
% 8.02/8.20 apply (zenon_L322_); trivial.
% 8.02/8.20 apply (zenon_L705_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H1e | zenon_intro zenon_H18c ].
% 8.02/8.20 apply (zenon_L706_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H29 | zenon_intro zenon_H18d ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H111 | zenon_intro zenon_H11c ].
% 8.02/8.20 apply (zenon_L450_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H37 | zenon_intro zenon_H11d ].
% 8.02/8.20 apply (zenon_L119_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H36 | zenon_intro zenon_H44 ].
% 8.02/8.20 apply (zenon_L215_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hb2 | zenon_intro zenon_He8 ].
% 8.02/8.20 apply (zenon_L707_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ].
% 8.02/8.20 apply (zenon_L306_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_He0 | zenon_intro zenon_He2 ].
% 8.02/8.20 apply (zenon_L708_); trivial.
% 8.02/8.20 apply (zenon_L598_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ].
% 8.02/8.20 apply (zenon_L709_); trivial.
% 8.02/8.20 apply (zenon_L313_); trivial.
% 8.02/8.20 apply (zenon_L701_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.20 apply (zenon_L694_); trivial.
% 8.02/8.20 apply (zenon_L138_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H364 | zenon_intro zenon_H363 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H92. zenon_intro zenon_H365.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H1a8. zenon_intro zenon_H366.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_Hfc. zenon_intro zenon_Hfc.
% 8.02/8.20 apply (zenon_L137_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H368 | zenon_intro zenon_H367 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H7f. zenon_intro zenon_H369.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H153. zenon_intro zenon_H35a.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H86. zenon_intro zenon_H15a.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.20 apply (zenon_L48_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.20 apply (zenon_L710_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H9f. zenon_intro zenon_H123.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H1b2. zenon_intro zenon_H1b1.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1aa. zenon_intro zenon_H1b3.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H127 | zenon_intro zenon_H1f ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H118 | zenon_intro zenon_H6e ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1cb ].
% 8.02/8.20 apply (zenon_L713_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1cc ].
% 8.02/8.20 exact (zenon_H118 zenon_Hd2).
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H13e | zenon_intro zenon_He0 ].
% 8.02/8.20 apply (zenon_L714_); trivial.
% 8.02/8.20 apply (zenon_L545_); trivial.
% 8.02/8.20 apply (zenon_L715_); trivial.
% 8.02/8.20 apply (zenon_L243_); trivial.
% 8.02/8.20 apply (zenon_L140_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H36b | zenon_intro zenon_H36a ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H7f. zenon_intro zenon_H36c.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H153. zenon_intro zenon_H35e.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H6d. zenon_intro zenon_Hd6.
% 8.02/8.20 apply (zenon_L294_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H36e | zenon_intro zenon_H36d ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H7f. zenon_intro zenon_H36f.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H153. zenon_intro zenon_H362.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H15c. zenon_intro zenon_Ha1.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H1e. zenon_intro zenon_Hae.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_Hb4. zenon_intro zenon_H1af.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H231. zenon_intro zenon_H221.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H2d ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H9b | zenon_intro zenon_H36 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 8.02/8.20 apply (zenon_L442_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ].
% 8.02/8.20 exact (zenon_Hb7 zenon_Hbb).
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H54 | zenon_intro zenon_Hb2 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hb2 | zenon_intro zenon_He8 ].
% 8.02/8.20 apply (zenon_L244_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ].
% 8.02/8.20 apply (zenon_L91_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_He0 | zenon_intro zenon_He2 ].
% 8.02/8.20 apply (zenon_L716_); trivial.
% 8.02/8.20 exact (zenon_H153 zenon_He2).
% 8.02/8.20 apply (zenon_L717_); trivial.
% 8.02/8.20 apply (zenon_L215_); trivial.
% 8.02/8.20 apply (zenon_L719_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.20 apply (zenon_L710_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.20 apply (zenon_L694_); trivial.
% 8.02/8.20 apply (zenon_L140_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H7f. zenon_intro zenon_H372.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H153. zenon_intro zenon_H366.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_Hfc. zenon_intro zenon_Hfc.
% 8.02/8.20 apply (zenon_L139_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H374 | zenon_intro zenon_H373 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_Hf7. zenon_intro zenon_H375.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H375). zenon_intro zenon_H196. zenon_intro zenon_H35a.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H86. zenon_intro zenon_H15a.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.20 apply (zenon_L48_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hc6. zenon_intro zenon_H107.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H109. zenon_intro zenon_H108.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H23c. zenon_intro zenon_H23b.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H23b). zenon_intro zenon_H23d. zenon_intro zenon_H208.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H10a | zenon_intro zenon_Hb9 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1e9 | zenon_intro zenon_He2 ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3e | zenon_intro zenon_H4f ].
% 8.02/8.20 apply (zenon_L720_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H41 | zenon_intro zenon_H50 ].
% 8.02/8.20 apply (zenon_L723_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H44 | zenon_intro zenon_H47 ].
% 8.02/8.20 apply (zenon_L392_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H25 | zenon_intro zenon_H171 ].
% 8.02/8.20 exact (zenon_H10a zenon_H25).
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H172 ].
% 8.02/8.20 apply (zenon_L61_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H26 | zenon_intro zenon_H66 ].
% 8.02/8.20 apply (zenon_L415_); trivial.
% 8.02/8.20 apply (zenon_L217_); trivial.
% 8.02/8.20 apply (zenon_L725_); trivial.
% 8.02/8.20 apply (zenon_L333_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.20 apply (zenon_L726_); trivial.
% 8.02/8.20 apply (zenon_L336_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H377 | zenon_intro zenon_H376 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_Hf7. zenon_intro zenon_H378.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H196. zenon_intro zenon_H35e.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H6d. zenon_intro zenon_Hd6.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Had | zenon_intro zenon_H1ac ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H1e. zenon_intro zenon_Hae.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_Hb4. zenon_intro zenon_H1af.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H2d ].
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H47 | zenon_intro zenon_H206 ].
% 8.02/8.20 apply (zenon_L728_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_He2 | zenon_intro zenon_H207 ].
% 8.02/8.20 apply (zenon_L627_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H195 | zenon_intro zenon_Hfc ].
% 8.02/8.20 exact (zenon_H196 zenon_H195).
% 8.02/8.20 apply (zenon_L335_); trivial.
% 8.02/8.20 apply (zenon_L164_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H106 | zenon_intro zenon_H1b0 ].
% 8.02/8.20 apply (zenon_L604_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H122 | zenon_intro zenon_H12b ].
% 8.02/8.20 apply (zenon_L726_); trivial.
% 8.02/8.20 apply (zenon_L336_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H37a | zenon_intro zenon_H379 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_Hf7. zenon_intro zenon_H37b.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H196. zenon_intro zenon_H362.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H15c. zenon_intro zenon_Ha1.
% 8.02/8.20 apply (zenon_L729_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H37d | zenon_intro zenon_H37c ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_Hf7. zenon_intro zenon_H37e.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H196. zenon_intro zenon_H366.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_Hfc. zenon_intro zenon_Hfc.
% 8.02/8.20 apply (zenon_L335_); trivial.
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_Hfc. zenon_intro zenon_H381.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H382. zenon_intro zenon_H35a.
% 8.02/8.20 exact (zenon_H382 zenon_Hfc).
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H384 | zenon_intro zenon_H383 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H384). zenon_intro zenon_Hfc. zenon_intro zenon_H385.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H385). zenon_intro zenon_H382. zenon_intro zenon_H35e.
% 8.02/8.20 exact (zenon_H382 zenon_Hfc).
% 8.02/8.20 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H387 | zenon_intro zenon_H386 ].
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H387). zenon_intro zenon_Hfc. zenon_intro zenon_H388.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H382. zenon_intro zenon_H362.
% 8.02/8.20 exact (zenon_H382 zenon_Hfc).
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H386). zenon_intro zenon_Hfc. zenon_intro zenon_H389.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H389). zenon_intro zenon_H382. zenon_intro zenon_H366.
% 8.02/8.20 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_Hfc. zenon_intro zenon_Hfc.
% 8.02/8.20 exact (zenon_H382 zenon_Hfc).
% 8.02/8.20 Qed.
% 8.02/8.20 % SZS output end Proof
% 8.02/8.20 (* END-PROOF *)
% 8.02/8.20 nodes searched: 149433
% 8.02/8.20 max branch formulas: 303
% 8.02/8.20 proof nodes created: 8387
% 8.02/8.20 formulas created: 52902
% 8.02/8.20
%------------------------------------------------------------------------------